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Problem 21001

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 $1 / 6(36 x-12)-5 x=10$
A $x=-2$ B $x=8$ C $\mathrm{x}=12$ D $x=22$

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Problem 21002

Use the quadratic formula to solve. Express your answer in simplest form. $4 x^{2}-5 x-6=0$

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Problem 21003

A. Given the equation: $3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}$
Find the value of $x$ .

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Problem 21004

Question
Use the properties of exponents to determine the value of $a$ for the equation: $\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}$

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Problem 21005

Part: 1 / 3
Part 2 of 3 (b) Approximate the logarithm to 4 decimal places. If necessary, round intermediate steps to 9 decimal places. $\log _{5} 28 \approx$ $\square$

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Problem 21006

$\underline{\text { Open Ebook section } 7.4}$
Potassium superoxide, $\mathrm{KO}_{2}$ , reacts with carbon dioxide to form potassium carbonate and oxygen: $4 \mathrm{KO}_{2}+2 \mathrm{CO}_{2} \longrightarrow 2 \mathrm{~K}_{2} \mathrm{CO}_{3}+3 \mathrm{O}_{2}$
3rd attempt See Periodic Table
This reaction makes potassium superoxide useful in a self-contained breathing apparatus. How much $\mathrm{O}_{2}$ could be produced from 2.59 g of $\mathrm{KO}_{2}$ and 4.60 g of $\mathrm{CO}_{2}$ ?

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Problem 21007

27. A star-connected load consists of three identical coils each of resistance $30 \Omega$ and inductance 127.3 mH .
If the line current is $5,08 \mathrm{~A}$ , calculate the line voltage if the supply frequency is 50 Hz .

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Problem 21008

ection 1 Question 14, 6.1.58 Part 1 of 3 HW Score: 92.86\%
Points: 0 of 1
The figure shows a cable car that carries passengers from A to C . Point A is 1.3 miles from the base of the mountain. The angles of elevation from A and B to the mountain's peak are $21^{\circ}$ and $64^{\circ}$ , respectively. a. Determine, to the nearest tenth of a foot, the distance covered by the cable car. b. Find $a$ , to the nearest tenth of a foot, in oblique triangle $A B C$ . c. Use the right triangle to find the height of the mountain to the nearest tenth of a foot.

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Problem 21009

Find the area of the figure pictured below.
Area $=$ $\square$ $\mathrm{cm}^{2}$

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Problem 21010

Determina la retta comune ai due fasci di equazioni $y=m x-2 m+1$ e $(2-k) x-(k+1) y-3=0$ , e inc $i$ relativi valori di $m$ e $k$ . $[y=2 x-3, m=2, k=$
Considera il triangolo individuato dai centri $A, B, C$ dei tre fasci di rette di equazioni:

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Problem 21011

Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

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Problem 21012

Add, using the rule for order of operations if necessary: $[10+(-6)]+[8+(-12)]=$ $\square$ Submit Question

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Problem 21013

23. What is the capacitance of a capacitor that draws 150 mA when connected to a $100 \mathrm{~V}, 400 \mathrm{~Hz}$ voltage source?
Ans. 0,597 $\mu \mathrm{F}$ .

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Problem 21014

Solve using the quadratic formula. Approximate answers to the nearest tenth. $x^{2}-2 x+1=0$ $\square$ Type your answer, then press Enter. Follow these examples: $\begin{array}{c} x=1 \text { or } 3 \\ x=-5.3 \text { or }-0.1 \end{array}$

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Problem 21015

wledge A mosquito beats its wings at a rate of about 6,000 wing beats per minute. a. What is the frequency in Hertz of the sound wave created by the mosquito's wings? b. Assuming the sound wave moves with a velocity of $350 \mathrm{~m} / \mathrm{s}$ , what is the wavelength of $t$ [4] sound wave generated by the beating wings?

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Problem 21016

What is the solution to the following system of equations? $\begin{array}{l} y=5 x-1 \\ x=-4-4 y \end{array}$
Enter your answer by filling in the boxes. $\square$ $\square$

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Problem 21017

$17 A B C$ is an isosceles right-angled triangle.
The area of the triangle is $162 \mathrm{~cm}^{2}$ Work out the value of $x$ .

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Problem 21018

Evaluate the definite integral. $\int_{4}^{67} \frac{2 \sqrt{z}-3}{\sqrt[3]{z}} d z$

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Problem 21019

Triangles $A B C$ and $D E F$ are similar.
Find the indicated distance. Round to the nearest tenth. (Assume $a=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}$ , and $d=16 \mathrm{in}$ .) Find side $D E$ . $\square$ in.

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Problem 21020

What is the volume of the triangular prism shown below? Give your answer in $\mathrm{m}^{3}$ to $1 \mathrm{~d} . \mathrm{p}$ .
Not drawn accurately

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Problem 21021

Question Progress
Homework Progress 屁 43 / 52 Marks
Calculate the length of $A C$ to 1 decimal place in the trapezium below. $\square$ $A C=$ $\square$ 207 cm

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Problem 21022

5. Solve for x : 7.64 9.35 8.17 6.22 Clear All

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Problem 21023

Solve: $\frac{2}{3} t=6$ $\mathrm{t}=$

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Problem 21024

3. Find the sine of angle A. Give your answer as a fraction in simplest form. $\operatorname{Sin} A=$ $\qquad$ I - Choose the correct answer - $\qquad$
Clear All

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Problem 21025

In certain deep parts of oceans, the pressure of sea water, $P$ , in pounds per square foot, at a depth of $d$ feet below the surface, is given by the following equation: $P=12+\frac{8 d}{13}$
If a scientific team uses special equipment to measures the pressure under water and finds it to be 596 pounds per square foot, at what depth is the team making their measurements?
Answer: The team is are measuring at $\square$ feet below the surface. Submit Question

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Problem 21026

Find the principal $P$ that will generate the given future value $A$ , where $A=\$ 14,000$ at $7 \%$ compounded daily for 9 years.
The principal P will be approximately $\$$ $\square$ (Round to two decimal places as needed.)

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Problem 21027

Dark Chocolate for Good Health A study ${ }^{1}$ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams ( 1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean . increase was 1.3 with a standard deviation of 2.32 , while the control group had a mean change of -0.96 with a standard deviation of 1.58. ${ }^{1}$ Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun; 23(3): 197-204.
Part 1 (a) Find a $95 \%$ confidence interval for the difference in means between the two groups $\mu_{C}-\mu_{N}$ , where $\mu_{C}$ represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and $\mu_{N}$ represents the mean increase in flowmediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places. The 95\% confidence interval is $\square$ to i .

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Problem 21028

Question 7/10
Solve the following problem. Give your answer in its lowest form. $\frac{1}{4}-\frac{1}{8}=$ $\square$ ASF-24 Submit

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Problem 21029

$\mathrm{I}=\int_{\gamma} \frac{x y}{z \sqrt{1+5 z}} d s \quad \gamma:\left\{\begin{array}{l}x=t \sin t \\ y=t \cos t \\ z=t^{2}\end{array} \quad t \in\left[0, \frac{\pi}{3}\right]\right.$

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Problem 21030

SHOW ALL WORK TO RECEIVE CREDIT
1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

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Problem 21031

6. $(6,5)$ and $(-2,1)$ $\mathrm{m}=$

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Problem 21032

Find the unknown number in the proportion $\frac{3}{9}=\frac{2}{x}$ $\square$ Submit Question

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Problem 21033

Calculate the following in each of the solutions belon a) how many moles of solute b) how many moles of each ion 5) 25.0 mL of 2.50 M NaOH

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Problem 21034

$\lim _{h \rightarrow 0} \frac{\sin \left(\frac{\pi}{3}+h\right)-\sin \frac{\pi}{3}}{h}$

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Problem 21035

Solve $36 x^{2}-1764=0$ by factoring. a) Factor $36 x^{2}-1764=0$ to rewrite the equation. $\square$ $=0$ b) The solution set is: $\{$ $\square$ \}

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Problem 21036

11
Un objeto sigue una trayectoria como la que muestra la figura. (Este problema debe incluir procedimiento claro con unidades o no se tomará en cuenta.) Toma en cuenta los datos que aparecen en la imagen y calcula: * (4 puntos) $\omega$ en $\frac{\mathrm{rad}}{\mathrm{s}}$ Gira a razón de $\mathbf{2 5 0 0}$ vueltas por minuto

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Problem 21037

Prehistoric cave paintings were discovered in a cave in France. The paint contained $29 \%$ of the original carbon-14. Use the exponential decay model for carbon-14, $A=A_{0} e^{-0.000121 t}$ , to estimate the age of the paintings.
The paintings are approximately $\square$ years old. (Round to the nearest integer.)

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Problem 21038

[a.] The equation of line $j$ is $y=\frac{-3}{4} x+\frac{3}{8}$ . Line $k$ is perpendicular to $j$ . What is the slop of line $k$ ?
Simplify your answer and write it as a proper fraction, improper fraction, or integer $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slo

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Problem 21039

$\text{For each sequence below, use the general formula to find the term indicated.}$ $15, 13, 21, \ldots u_{9}$ $240, 32, 24, \ldots u_{11}$ $\text{The formula is } U_n = U_1 + (n-1)d$

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Problem 21040

The electric motor exerts a 500 N -m-torque on the aluminum shaft $A B C D$ when it is rotating at a constant speed. Knowing that $G=27 \mathrm{GPa}$ and that the torques exerted on pulleys $B$ and $C$ are as shown, determine the angle of twist between $(a) B$ and $C$ , (b) B and D.

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Problem 21041

Find the percent. 15 cents is what percent of 24 cents
15 cents is $\square$ $\%$ of 24 cents (Simplify your answer.)

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Problem 21042

What is the solition to the system? a $\quad(4,2)$ b $\quad(2,4)$ c $\quad(2,-4)$ d $(-4,2)$ $e \quad(3,-1)$

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Problem 21043

Video the slope of line $d$ ?
媇, Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slope and $y$ -intercept

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Problem 21044

(3) Line $g$ has a slope of $\frac{40}{77}$ . Line $h$ is perpendicular to $g$ . What is the slope of line $h$ ? $\square$ Submit If Work it out Not feeling ready yet? These can help:

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Problem 21045

for Unit 4 Question 12, 4.3.28
Use synthetic division to find the function values. Then ch $f(x)=x^{3}-12 x^{2}+47 x-60 ;$ find $f(3), f(-4)$ , and $f(5)$ . $\qquad$ $\square$ $f(3)=x^{2}-9 x+20$ (Simplify your answer.) $f(-4)=x^{2}-16 x+111-\frac{504}{x-4}$ (Simplify your answer.) $\square$ $\square$ $f(5)=x^{2}-7 x+12-\frac{10}{x+5}$ (Simplify your answer.) Iiew an example Get more help

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Problem 21046

The equation of line $t$ is $y=\frac{-9}{37} x-61$ . Line $u$ is perpendicular to $t$ . What is the slope of line $u$ ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out

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Problem 21047

Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. $\begin{array}{l} 6+4(x+3 y)=7 y+6 \\ 4 x+9=9-3 y \end{array}$ Español The system has one solution. The solution set is $\square$ \}. The system has no solution, $\}$ . The system is inconsistent. The equations are dependent. The system has infinitely many solutions. The solution set is $\square$ $\{x$ is any real number $\}$ . The system is inconsistent. The equations are dependent.

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Problem 21048

$008 \quad 10.0$ points A woman of mass 49 a 68 kg canoe that is in If her velocity is 2 m / the velocity of the canoe
Unit 4) 24-25-tejeda - (PerezKPHY1_1) The acceleration of gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Initially, the 6 kg block and 2 kg block rest on a horizontal surface with the 6 kg block in contact with the spring (but not compressing it) and with the 2 kg block in contact with the 6 kg block. The 6 kg block is then moved to the left, compressing the spring a distance of 0.2 m , and held in place while the 2 kg block remains at rest as shown below.
Determine the elastic energy $U$ stored in the compressed spring.
Answer in units of $J$ . 013 (part 2 of 4 ) 10.0 points The 6 kg block is then released and accelerates to the right, toward the 2 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block.
Find the speed of the 6 kg block just before it collides with the 2 kg block.
Answer in units of $\mathrm{m} / \mathrm{s}$ .

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Problem 21049

Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to two decimal places $\begin{aligned} & B=78.7^{\circ}, \quad a=4.9 \\ A & =\square^{\circ} \\ c & =\square^{\circ} \\ b & =\square^{\circ} \\ c & =\square^{\circ} \end{aligned}$

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Problem 21050

$: 04 \mathrm{AM}$ Tue Dec 3 - • one www-awu.aleks.com Chemical Reactions Understanding theoretical, actual, and percent yield ? QUESTION Black Forest Biologicals, a biotech startup, has a promising Alzheimer's drug candidate Compound SLT-88 entering Pha is the only product formed by the reaction of two precursor compounds $A$ and $B$ , both of which are quite expensive. T of Black Forest is trying out different reaction conditions to minimize the cost of manufacturing SLT-88. In the table below are listed the initial and final amounts of A and B used under two different trial conditions, and also 88 recovered in each case. Complete the table by calculating the theoretical yield of SLT-88 and the percent yield of SL to the nearest milligram and your percentages to the nearest whole percent. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{ Trial } & \multicolumn{2}{|c|}{ amount of A } & \multicolumn{2}{|c|}{ amount of B } & \multicolumn{3}{|c|}{ yield of SLT-88 } \\ \cline { 2 - 8 } & initial & final & initial & final & theoretical & actual & $\%$ \\ \hline 1 & $300 . \mathrm{mg}$ & 0 mg & $300 . \mathrm{mg}$ & $171 . \mathrm{mg}$ & $\square$ & $232 . \mathrm{mg}$ & $\square \%$ \\ \hline 2 & $200 . \mathrm{mg}$ & 0 mg & $900 . \mathrm{mg}$ & $594 . \mathrm{mg}$ & $\square$ & $278 . \mathrm{mg}$ & $\square \%$ \\ \hline \end{tabular} (O) EXPLANATION
To solve this problem you'll need to understand the three ways chemists measure the success of a chemical reaction: - Theoretical yield is the amount of some desired product that would be produced if every possible atom of the reac into the product. - Actual yield is how much of the desired preduct was actually isolated after the reaction. It's always less than the $t$ More Practice

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Problem 21051

Given an arithmetic progression with $u_{21}=65$ and $d=-2$ , find the value of the first term.

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Problem 21052

Solve: $\frac{x}{11}-\frac{x}{2}=7+\frac{7 x}{22}$ Select one: a. $x=-\frac{77}{8}$ b. $x=\frac{77}{3}$ c. $x=-\frac{9}{22}$ d. $x=-\frac{22}{9}$ e. $x=-22$

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Problem 21053

Solve the system by the addition method. $\begin{array}{l} x^{2}+y^{2}=13 \\ x^{2}-y^{2}=5 \end{array}$

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Problem 21054

There is 4165 ml of water in the container below. The container is a triangular prism. Work out the depth of the water in this container. Give your answer in centimetres (cm), and give any decimal answers to $1 \mathrm{~d} . \mathrm{p}$ . (Hint: $1 \mathrm{ml}=1 \mathrm{~cm}^{3}$ ) Watch video Search

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Problem 21055

2. $x\left(x^{2}-3 x+3\right)(4 x-7)=0$
3. $\left(4 a^{2}-16\right)\left(a^{2}+9\right)=0$
4. $0=\left(p^{2}-5 p+6\right)(p+1)(p-2)$
5. $\left(x^{2}+2 x+2\right)(2 x-3) x=0$

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Problem 21056

umich.instructure.com Quiz: Prepwork... WN 2025। POL... Atlas | navigate... Google Calenda... Wolverine Acc 0... Fit
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Prepwork 11.6 Started: Dec 3 at 12:17pm Quiz Instructions Watch the videos for Section 11.6. Question 1
What is $\lim _{x \rightarrow \infty} \frac{x^{2}+5}{x^{8}}$ ? That is what is the long run behavior?
Edit View Insert Format Tools Table 12pt Paragraph B I $\underline{U}$ A - $\mathrm{T}^{2}$ ！ MacBook Air 80 F3 F4 F5 40 DII 57 58

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Problem 21057

investment services company experienced dramatic growth in the last two decades. The following models for the compar and expenses or costs $C$ (both in millions of dollars) are functions of the years past 1990. $R(t)=21.4 e^{0.131 t} \text { and } C(t)=18.6 e^{0.131 t}$ (a). Use the models to predict the company's profit in 2030. (Round your answer to one decimal place.) $\square$ million Enter a number. (b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole nun 45 $\square$ years after 1990

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Problem 21058

02010.0 points $\mathrm{A}(\mathrm{n}) 59 \mathrm{~kg}$ astronaut becomes separated from the shuttle, while on a space walk. She finds herself 46.3 m away from the shuttle and moving with zero speed relative to the shuttle. She has a(n) 0.575 kg camera in her hand and decides to get back to the shuttle by throwing the camera at a speed of $12 \mathrm{~m} / \mathrm{s}$ in the direction away from the shuttle.
How long will it take for her to reach the shuttle? Answer in minutes.
1. 3.629 min
2. 5.609 min
3. 3.959 min
4. 5.938 min
5. 4.619 min
6. 4.289 min
7. 4.949 min

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Problem 21059

The population (in thousands) of people of a city is approximated by the function $\mathrm{P}(\mathrm{t})=1400(2)^{0.1048 t}$ , where t is the number of years since 2010. a. Find the population of this group in 2018. b. Predict the population in 2026. a. The population of this group in 2018 is $\square$ (Round to the nearest thousand as needed.)

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Problem 21060

The table shows the distribution, by age, of a random sample of 3540 moviegoers ages 12-74. If one moviegoer is randomly selected from this population, find the probability, expressed as a simplified fraction, that the moviegoer's age is at least 25.
Age Distribution of Moviegoers \begin{tabular}{|c|c|} \hline Ages & Number \\ \hline $12-24$ & 740 \\ \hline $25-44$ & 1200 \\ \hline $45-64$ & 930 \\ \hline $65-74$ & 670 \\ \hline \end{tabular}
The probability is $\square$ (Type an integer or a simplified fraction.)

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Problem 21061

(4) Solve the following equation for $0 \leq x<2 \pi$ $5 \sin x-4 \sqrt{3}=3 \sin x-5 \sqrt{3}$ (10) Let $A=121^{\circ}, C=34^{\circ}$ and $b=18$ . Use Law of Sines to solve for $c$ .

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Problem 21062

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

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Problem 21063

$2 x-1=2 \sin x+\cos x$

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Problem 21064

The sun is $25^{\circ}$ above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.) $\square$ ft

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Problem 21065

$6 \sin ^{2} x=5 \cos x-2$

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Problem 21066

Calculate a) $(6+2) \times 4$ b) $6+(2 \times 4)$

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Problem 21067

$\int x^{2} e^{x^{3}} d x$

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Problem 21068

A 165 -foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown.
One of the guy-wires forms an angle of $\alpha=0.3$ radians with the antenna and the opposing guy-wire forms an angle of $\beta=0.41$ radians with the antenna. a. What is the horizontal distance between anchor 1 and the base of the antenna? $165^{} \tan (0.3)$ $\qquad$ $\star$ feet $\square$ $165 \cdot \tan (0.3)=51.040481185587836$ . b. What is the horizontal distance between anchor 2 and the base of the antenna? $165^{} \tan (0.41)$ $\square$ $\otimes$ feet $\square$ $165 \cdot \tan (0.41)=71.71414875898176$ . c. What is the distance between anchor 1 and anchor 2? $\square$ feet Preview

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Problem 21069

10. The half-life of the radioactive element plutonium-239 is 25,000 years. If 11 kilograms of plutonium-239 are initially present (between the size of a softball and shotput), how many years will it take for it to decay to less than 1 kilogram?

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Problem 21070

Divide. $\left(4 x^{3}-17 x-8\right) \div\left(2 x^{2}-5\right)$
Write your answer in the following form: Quotient $+\frac{\text { Remainder }}{2 x^{2}-5}$ . $\frac{4 x^{3}-17 x-8}{2 x^{2}-5}=\square+\frac{\square}{2 x^{2}-5}$

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Problem 21071

7. Nate is in a meadow standing exactly 185 ft from the base of a mountain. He sees someone climbing the mountain in his binoculars. His eyes are 6 ft above the ground, and is angle of elevation is $10^{\circ}$ . How far above the ground is the climber?

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Problem 21072

First use front end rounding to estimate the answer. Then multiply to find the exact answer. $\begin{array}{r} 19.4 \\ \times 2.8 \\ \hline \end{array}$
The estimate is $\square$ The answer is $\square$ $\square$ .

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Problem 21073

Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. $\sin \left(\frac{19 \pi}{12}\right)$

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Problem 21074

4) How much heat is absorbed when 30.00 g of $\mathrm{C}(\mathrm{s})$ reacts in the presence of excess $\mathrm{SO}_{2}(\mathrm{~g})$ to produce $\mathrm{CS}_{2}(l)$ and $\mathrm{CO}(g)$ according to the following chemical equation? $5 \mathrm{C}(s)+2 \mathrm{SO}_{2}(g) \rightarrow \mathrm{CS}_{2}(l)+4 \mathrm{CO}(g) \quad \Delta H^{\circ}=+239.9 \mathrm{~kJ}$ A) 239.9 kJ B) 119.9 kJ C) 599.2 kJ D) 1439 kJ

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Problem 21075

Solve for $x$ : $\log _{2}(x+5)=5$ 5 20 27 0

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Problem 21076

Use the list of longest long jumps to solve. What was the total length jumped by the top three athletes?
The total length jumped by the top three athletes was $\square$ meters.
1st place 8.99 meters 2nd place 8.92 meters 3rd place 8.88 meters 4th place 8.81 meters 5th place 8.78 meters

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Problem 21077

Determine the zeros of the quadratic function $f(x)=6 x^{2}+13 x+5$ . $-\frac{1}{2},-\frac{5}{3}$ $\frac{1}{2}, \frac{5}{3}$ $-\frac{1}{3},-\frac{5}{2}$ $\frac{1}{3}, \frac{5}{2}$

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Problem 21078

Determine all solutions of the equation $-2 w^{2}+14=0$ . $-2,7$ $-7,7$ $-\sqrt{7}, \sqrt{7}$ $-2,-\sqrt{7}, \sqrt{7}$

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Problem 21079

Evaluate the function at the given values of $x$ . Round to 4 decimal places, if necessary. $g(x)=3^{x}$
Part: $0 / 4$
Part 1 of 4 $g(-2)=$ $\square$

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Problem 21080

Evaluate the following expression without using a calculator. $\begin{array}{c} 3^{\log _{3} 2} \\ 3^{\log _{3} 2}= \end{array}$

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Problem 21081

(15 points) Solve the equation below, finding all real solutions. Write your final answer(s) in the box provided. $\log _{6}(2 x-1)+\log _{6}(x)=1$

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Problem 21082

Evaluate the function at the given values of $x$ . Round to 4 decimal places, if necessary. $g(x)=3^{x}$
Part 1 of 4 $g(-2)=0.1111$
Part: 1 / 4
Part 2 of 4 $g(5.7)=$ $\square$

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Problem 21083

1. A bag contans 6 Red, 8 black and 10 yellow identical beads 2 beads are picked at random one affer the othe without replacenors. Find the pobubilizy that, (i) Both are Red (i) One bladk and the other yellow

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Problem 21084

Un panalelogramo esta conformado por dos vertices conserutiver " a y $b$ ", el vertice $A$ es = $(2,0,0)$ el véntice $b=(0,2,0)$ .'
E centro del paralelogamo is $M=(2,2,2)$ Hallar: a) El perimetro del paralelogramo b) El area de uno de sus trianigulos c) El volumen del panabelepipedo cuya altura es el vector $z=(2,2,4)$

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Problem 21085

Use synthetic division to find the quotient and remainder for $\frac{-2 x^{3}-5 x^{2}-3 x^{2}+3}{x+1}$

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Problem 21086

Find the inverse of the function. $\begin{array}{l} f(x)=\sqrt[3]{13 x+10} \\ f^{-1}(x)= \end{array}$ $\square$
Calculator
Check Answer

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Problem 21087

Solve these problems. Write the number sentences for activities (1)-(3). (1)
Mrs. Lovejoy bought 8 yards of material. She will use $3 \frac{7}{8}$ yards for Christi's dress. How much material will be left to make herself a dress? (2) The perimeter of the garden is 150 feet. How many yards of fencing is needed to build a fence around the garden? (3) Racer shot the winning basket when he was $4 \frac{2}{3}$ yards from the basket. How many feet was Racer from the basket?
The path around the park is one mile. How many feet is the path? $\qquad$

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Problem 21088

Solve the quadratic equation by completing the square: $x^{2}+14 x+7=18$ Give the equation after completing the square, but before taking the square root. Your answer should look like: $(x-a)^{2}=b$ The equation is: $\square$ Give all solutions to the equation. The solutions are: $x=$ $\square$ Calculator

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Problem 21089

Find the solution of the system of equations. $\left\{\begin{array}{l} x-5 y=-20 \\ -4 x-5 y=5 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

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Problem 21090

Question 16, 8.2.1 Pait 1 of 3 HW Scores 43.33\%, 12.13 of 28 points Points: 0 of 1 Save
Use the results from a survey of a simple random sample of 1229 adults. Among the 1229 respondents, $71 \%$ rated themselves as above average drivers. We want to test the claim that $\frac{13}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. $\square$ (Round to the nearest whole number as needed.) nore help - Clear all Check answer

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Problem 21091

A metal warehouse, whose dimensions are shown below, needs paint. The front and back of the warehouse each have 2 rollup doors measuring 26 ft by 29 ft each. The side of the warehouse facing the parking lot has an entry door measuring 45 in by 80 in. The other side of the warehouse has no window or door.
Use the given information to answer the questions. Each tab shows a different view of the warehouse. (a) Assuming the roof and doors require no paint, what is the area in square feet that needs paint? (Do not round any intermediate computations and give your answer as a whole number.) (1) $\mathrm{ft}^{2}$ (b) The paint to be used is sold in cans. Each can contains enough paint to cover $520 \mathrm{ft}^{2}$ . Assume there is no paint yet and partial cans cannot be bought. How many cans will need to be bought in order to paint the warehouse? $\square$ cans Front-right view Back-left view (c) What is the total cost of the paint needed for the warehouse if each can costs \$39.50? Check Save For Later Submit Assignmer

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Problem 21092

8. An airplane must fly over a 120 ft tower. The plane is 400 ft away from the tower when it begins to climb. At what angle should the plane climb to make it over the tower?

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Problem 21093

A company manufactures video gamos with a current dafoct rate of $0.95 \%$ . To make sure as fow defective video games are delivered as possible, they are all tested before delivery. The test is $98 \%$ accurate at detormining if a video game is defective. If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
2,000
50
950 $\square$ 20

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Problem 21094

$\$ 18,000$ is invested in an account paying 3.1\% interest compounded continuously. The amount $A(t)$ in the account after $t$ years is given by the exponential function $A(t)=18,000 e^{0.031 t}$ .
1. Determine the amount in the account after 8 years. (Round to two decimal places) $\square$
2. How many years will it take for the account to grow to $\$ 24,000$ ? (Round to 3 decimal places) $\square$

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Problem 21095

12
Find the solution of the system of equations. $\left\{\begin{array}{l} 5 x+2 y=4 \\ 2 x-2 y=10 \end{array}\right.$
Show your work here $\begin{array}{l} x= \\ y= \end{array}$

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Problem 21096

Solve the equation: $\log _{6}(x)+\log _{6}(x+16)=2$ The solution(s) is (are) $x=$ $\square$
Calculator

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Problem 21097

9. Find $g^{\prime}(x)$ if $g(x)=\int_{4 x}^{x^{2}} 6+\cos t d t$

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Problem 21098

(18) Solve for $x: a+b(x-c)=0$ (A) $\frac{a+b c}{b}$ (B) $\frac{b c-a}{b}$ (C) $c-a$ (19) Solve for $x: x^{2}-x+3=0$ (A) $x=$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=3, x=-$ (20) Solve for $x: 2 x^{2}-9 x+3=0$ (C) $x=1, x=3$ (A) $x=$ (D) $x=4, x=9$ (21) Solve the inequality: $-3 a+7>19$ (A) $a<-4$ (B) $a<12$ (C) $a>-4$ 2) Find the interval solution for $x$ : (A) $(-2,+2]$ (B) $\left[-\frac{9}{4}, 2\right)$ $-6<4 x+3$ (C) $(-6$

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Problem 21099

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. $11^{x}=67$
The solution set expressed in terms of logarithms is $\square$ \}. (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

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Problem 21100

42 10) 45 2 54 5.4 20

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Solve

Problem 21001

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 1/6(36x−12)−5x=101 / 6(36 x-12)-5 x=101/6(36x−12)−5x=10A x=−2x=-2x=−2 B x=8x=8x=8 C x=12\mathrm{x}=12x=12 D x=22x=22x=22

Problem 21002

Use the quadratic formula to solve. Express your answer in simplest form. 4x2−5x−6=04 x^{2}-5 x-6=04x2−5x−6=0

Problem 21003

A. Given the equation: 3m4(5m)=15m3x3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}34m​(5m​)=15xm3​Find the value of xxx.

Problem 21004

QuestionUse the properties of exponents to determine the value of aaa for the equation: (x12)3x=xa\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}(x21​)3x​=xa

Problem 21005

Part: 1 / 3Part 2 of 3 (b) Approximate the logarithm to 4 decimal places. If necessary, round intermediate steps to 9 decimal places. log⁡528≈\log _{5} 28 \approxlog5​28≈ □\square□

Problem 21006

Problem 21007

27. A star-connected load consists of three identical coils each of resistance 30Ω30 \Omega30Ω and inductance 127.3 mH .If the line current is 5,08 A5,08 \mathrm{~A}5,08 A, calculate the line voltage if the supply frequency is 50 Hz .

Problem 21008

Problem 21009

Find the area of the figure pictured below.Area === □\square□ cm2\mathrm{cm}^{2}cm2

Problem 21010

Problem 21011

Calculate the value of the following series: ∑k=2∞1(3k+1)(3k+4)\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}k=2∑∞​(3k+1)(3k+4)1​

Problem 21012

Add, using the rule for order of operations if necessary: [10+(−6)]+[8+(−12)]=[10+(-6)]+[8+(-12)]=[10+(−6)]+[8+(−12)]= □\square□ Submit Question

Problem 21013

23. What is the capacitance of a capacitor that draws 150 mA when connected to a 100 V,400 Hz100 \mathrm{~V}, 400 \mathrm{~Hz}100 V,400 Hz voltage source?Ans. 0,597 μF\mu \mathrm{F}μF.

Problem 21014

Problem 21015

Problem 21016

What is the solution to the following system of equations? y=5x−1x=−4−4y\begin{array}{l} y=5 x-1 \\ x=-4-4 y \end{array}y=5x−1x=−4−4y​Enter your answer by filling in the boxes. □\square□ □\square□

Problem 21017

17ABC17 A B C17ABC is an isosceles right-angled triangle.The area of the triangle is 162 cm2162 \mathrm{~cm}^{2}162 cm2 Work out the value of xxx.

Problem 21018

Evaluate the definite integral. ∫4672z−3z3dz\int_{4}^{67} \frac{2 \sqrt{z}-3}{\sqrt[3]{z}} d z∫467​3z​2z​−3​dz

Problem 21019

Triangles ABCA B CABC and DEFD E FDEF are similar.Find the indicated distance. Round to the nearest tenth. (Assume a=11in,c=10ina=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}a=11in,c=10in, and d=16ind=16 \mathrm{in}d=16in.) Find side DED EDE. □\square□ in.

Problem 21020

What is the volume of the triangular prism shown below? Give your answer in m3\mathrm{m}^{3}m3 to 1 d.p1 \mathrm{~d} . \mathrm{p}1 d.p.Not drawn accurately

Problem 21021

Question ProgressHomework Progress 屁 43 / 52 MarksCalculate the length of ACA CAC to 1 decimal place in the trapezium below. □\square□ AC=A C=AC= □\square□ 207 cm

Problem 21022

5. Solve for x : 7.64 9.35 8.17 6.22 Clear All

Problem 21023

Solve: 23t=6\frac{2}{3} t=632​t=6 t=\mathrm{t}=t=

Problem 21024

3. Find the sine of angle A. Give your answer as a fraction in simplest form. Sin⁡A=\operatorname{Sin} A=SinA= \qquad I - Choose the correct answer - \qquadClear All

Problem 21025

Problem 21026

Find the principal PPP that will generate the given future value AAA, where A=$14,000A=\$ 14,000A=$14,000 at 7%7 \%7% compounded daily for 9 years.The principal P will be approximately $\$$ □\square□ (Round to two decimal places as needed.)

Problem 21027

Problem 21028

Question 7/10Solve the following problem. Give your answer in its lowest form. 14−18=\frac{1}{4}-\frac{1}{8}=41​−81​= □\square□ ASF-24 Submit

Problem 21029

Problem 21030

SHOW ALL WORK TO RECEIVE CREDIT1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

Problem 21031

6. (6,5)(6,5)(6,5) and (−2,1)(-2,1)(−2,1) m=\mathrm{m}=m=

Problem 21032

Find the unknown number in the proportion 39=2x\frac{3}{9}=\frac{2}{x}93​=x2​ □\square□ Submit Question

Problem 21033

Calculate the following in each of the solutions belon a) how many moles of solute b) how many moles of each ion 5) 25.0 mL of 2.50 M NaOH

Problem 21034

lim⁡h→0sin⁡(π3+h)−sin⁡π3h\lim _{h \rightarrow 0} \frac{\sin \left(\frac{\pi}{3}+h\right)-\sin \frac{\pi}{3}}{h}limh→0​hsin(3π​+h)−sin3π​​

Problem 21035

Solve 36x2−1764=036 x^{2}-1764=036x2−1764=0 by factoring. a) Factor 36x2−1764=036 x^{2}-1764=036x2−1764=0 to rewrite the equation. □\square□ =0=0=0 b) The solution set is: {\{{ □\square□ \}

Problem 21036

Problem 21037

Problem 21038

Problem 21039

Problem 21040

Problem 21041

Find the percent. 15 cents is what percent of 24 cents15 cents is □\square□ %\%% of 24 cents (Simplify your answer.)

Problem 21042

What is the solition to the system? a (4,2)\quad(4,2)(4,2) b (2,4)\quad(2,4)(2,4) c (2,−4)\quad(2,-4)(2,−4) d (−4,2)(-4,2)(−4,2) e(3,−1)e \quad(3,-1)e(3,−1)

Problem 21043

Video the slope of line ddd ?媇, Simplify your answer and write it as a proper fraction, improper fraction, or integer. □\square□ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slope and yyy-intercept

Problem 21044

(3) Line ggg has a slope of 4077\frac{40}{77}7740​. Line hhh is perpendicular to ggg. What is the slope of line hhh ? □\square□ Submit If Work it out Not feeling ready yet? These can help:

Problem 21045

Problem 21046

The equation of line ttt is y=−937x−61y=\frac{-9}{37} x-61y=37−9​x−61. Line uuu is perpendicular to ttt. What is the slope of line uuu ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. □\square□ Submit Work it out

Problem 21047

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 $1 / 6(36 x-12)-5 x=10$
A $x=-2$ B $x=8$ C $\mathrm{x}=12$ D $x=22$

Use the quadratic formula to solve. Express your answer in simplest form. $4 x^{2}-5 x-6=0$

A. Given the equation: $3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}$
Find the value of $x$ .

Question
Use the properties of exponents to determine the value of $a$ for the equation: $\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}$

Part: 1 / 3
Part 2 of 3 (b) Approximate the logarithm to 4 decimal places. If necessary, round intermediate steps to 9 decimal places. $\log _{5} 28 \approx$ $\square$

27. A star-connected load consists of three identical coils each of resistance $30 \Omega$ and inductance 127.3 mH .
If the line current is $5,08 \mathrm{~A}$ , calculate the line voltage if the supply frequency is 50 Hz .

Find the area of the figure pictured below.
Area $=$ $\square$ $\mathrm{cm}^{2}$

Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

Add, using the rule for order of operations if necessary: $[10+(-6)]+[8+(-12)]=$ $\square$ Submit Question

23. What is the capacitance of a capacitor that draws 150 mA when connected to a $100 \mathrm{~V}, 400 \mathrm{~Hz}$ voltage source?
Ans. 0,597 $\mu \mathrm{F}$ .

What is the solution to the following system of equations? $\begin{array}{l} y=5 x-1 \\ x=-4-4 y \end{array}$
Enter your answer by filling in the boxes. $\square$ $\square$

$17 A B C$ is an isosceles right-angled triangle.
The area of the triangle is $162 \mathrm{~cm}^{2}$ Work out the value of $x$ .

Evaluate the definite integral. $\int_{4}^{67} \frac{2 \sqrt{z}-3}{\sqrt[3]{z}} d z$

Triangles $A B C$ and $D E F$ are similar.
Find the indicated distance. Round to the nearest tenth. (Assume $a=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}$ , and $d=16 \mathrm{in}$ .) Find side $D E$ . $\square$ in.

What is the volume of the triangular prism shown below? Give your answer in $\mathrm{m}^{3}$ to $1 \mathrm{~d} . \mathrm{p}$ .
Not drawn accurately

Question Progress
Homework Progress 屁 43 / 52 Marks
Calculate the length of $A C$ to 1 decimal place in the trapezium below. $\square$ $A C=$ $\square$ 207 cm

Solve: $\frac{2}{3} t=6$ $\mathrm{t}=$

3. Find the sine of angle A. Give your answer as a fraction in simplest form. $\operatorname{Sin} A=$ $\qquad$ I - Choose the correct answer - $\qquad$
Clear All

Find the principal $P$ that will generate the given future value $A$ , where $A=\$ 14,000$ at $7 \%$ compounded daily for 9 years.
The principal P will be approximately $\$$ $\square$ (Round to two decimal places as needed.)

Question 7/10
Solve the following problem. Give your answer in its lowest form. $\frac{1}{4}-\frac{1}{8}=$ $\square$ ASF-24 Submit

SHOW ALL WORK TO RECEIVE CREDIT
1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

6. $(6,5)$ and $(-2,1)$ $\mathrm{m}=$

Find the unknown number in the proportion $\frac{3}{9}=\frac{2}{x}$ $\square$ Submit Question

$\lim _{h \rightarrow 0} \frac{\sin \left(\frac{\pi}{3}+h\right)-\sin \frac{\pi}{3}}{h}$

Solve $36 x^{2}-1764=0$ by factoring. a) Factor $36 x^{2}-1764=0$ to rewrite the equation. $\square$ $=0$ b) The solution set is: $\{$ $\square$ \}

Find the percent. 15 cents is what percent of 24 cents
15 cents is $\square$ $\%$ of 24 cents (Simplify your answer.)

What is the solition to the system? a $\quad(4,2)$ b $\quad(2,4)$ c $\quad(2,-4)$ d $(-4,2)$ $e \quad(3,-1)$

Video the slope of line $d$ ?
媇, Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slope and $y$ -intercept

(3) Line $g$ has a slope of $\frac{40}{77}$ . Line $h$ is perpendicular to $g$ . What is the slope of line $h$ ? $\square$ Submit If Work it out Not feeling ready yet? These can help:

The equation of line $t$ is $y=\frac{-9}{37} x-61$ . Line $u$ is perpendicular to $t$ . What is the slope of line $u$ ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out

Given an arithmetic progression with $u_{21}=65$ and $d=-2$ , find the value of the first term.

Solve: $\frac{x}{11}-\frac{x}{2}=7+\frac{7 x}{22}$ Select one: a. $x=-\frac{77}{8}$ b. $x=\frac{77}{3}$ c. $x=-\frac{9}{22}$ d. $x=-\frac{22}{9}$ e. $x=-22$

Solve the system by the addition method. $\begin{array}{l} x^{2}+y^{2}=13 \\ x^{2}-y^{2}=5 \end{array}$

(4) Solve the following equation for $0 \leq x<2 \pi$ $5 \sin x-4 \sqrt{3}=3 \sin x-5 \sqrt{3}$ (10) Let $A=121^{\circ}, C=34^{\circ}$ and $b=18$ . Use Law of Sines to solve for $c$ .

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

$2 x-1=2 \sin x+\cos x$

The sun is $25^{\circ}$ above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.) $\square$ ft

$6 \sin ^{2} x=5 \cos x-2$

Calculate a) $(6+2) \times 4$ b) $6+(2 \times 4)$

$\int x^{2} e^{x^{3}} d x$

7. Nate is in a meadow standing exactly 185 ft from the base of a mountain. He sees someone climbing the mountain in his binoculars. His eyes are 6 ft above the ground, and is angle of elevation is $10^{\circ}$ . How far above the ground is the climber?

First use front end rounding to estimate the answer. Then multiply to find the exact answer. $\begin{array}{r} 19.4 \\ \times 2.8 \\ \hline \end{array}$
The estimate is $\square$ The answer is $\square$ $\square$ .

Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. $\sin \left(\frac{19 \pi}{12}\right)$