Browse Math problems Studdy Solved!

Problem 56001

Find the area between $y = -x^4 + 4x^2 + 4$ , $y = x - 3$ , and $-1.6 \le x \le 1.6$ . Round your limits of integration and answer to 2 decimal places.
The area between the curves is ______ square units. Question Help: VIDEO 1 VIDEO 2

See Solution

Problem 56002

9. Escribe una ecuación en la forma para cada recta que está a la derecha.
10. Roberto gastó $\$ 55$ en materiales para hacer llaveros. Él vende los llaveros a \ $5 cada uno. ¿Qué ecuación muestra las ganancias de Roberto,$ y $, por vender$ x $llaveros? (A)$ y=x-55 $(B)$ y=5 x-55 $(6)$ y=5 x+55 $(D)$ y=x+55$

See Solution

Problem 56003

1. Práctica al nivel ¿Cuál es la gráfica de la ecuación $y=-\frac{1}{4} x+2$ ?
El intercepto en $y$ es $\square$ lo que significa que la recta cruza el eje de las $y$ en el punto $\square$ $\square$ Marca este punto.
La pendiente de la recta es negativa; por tanto, $\square$ de izquierda a derecha. Comienza en el intercepto en $y$ . Desciende $\square$ y luego desplázate $\square$ a la derecha. Ahora estás en el punto ( $\square$ $\square$ ). Marca este punto. Dibuja una recta para unir los dos puntos.

See Solution

Problem 56004

Solve for $x$ . $\begin{array}{c} x+5=8 \\ x=[?] \end{array}$ Enter

See Solution

Problem 56005

Whis question: 1 point(\$) possible Submit quiz
Find the volume of the solid generated when the region bounded by $y=3 x$ and $y=6 \sqrt{x}$ is revolved about the $x$ -axis.
The volume of the solid is $\square$ cubic units. (Type an exact answer.)

See Solution

Problem 56006

Solve for s. $\begin{array}{l} \frac{4 s-2}{7}=6 \\ s=[?] \end{array}$ Enter

See Solution

Problem 56007

Use the given conversion factor to convert 12 tsp to mL . $\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}$ Enter

See Solution

Problem 56008

Solve for x using cross multiplication. $\begin{array}{c} \frac{x-3}{2}=\frac{x-4}{3} \\ x=[?] \end{array}$ Enter

See Solution

Problem 56009

Find the center and radius of the circle with the given equation. $(x - 1)^2 + (y + 4)^2 = 4$ center $(x, y) = (\qquad)$ radius

See Solution

Problem 56010

Solve the inequality. $\begin{array}{c} 4 x+2<-6 \\ x<[?] \end{array}$

See Solution

Problem 56011

Solve the following compound inequality. $\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq} \end{array}$ Enter

See Solution

Problem 56012

Solve the following absolute value equation. $\begin{array}{l} \frac{|x+6|}{7}=2 \\ x=[?] \end{array}$
Enter the smallest solution first. Enter

See Solution

Problem 56013

Evaluate the function for the given value. $\begin{array}{c} f(x)=5-x \text { for } x=-7 \\ f(-7)=[?] \end{array}$ Enter

See Solution

Problem 56014

A line intersects the points $\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

See Solution

Problem 56015

Solve for $y$ . $\begin{array}{r} 3 x+y=3 \\ y=[?] x+ \end{array}$

See Solution

Problem 56016

$\sum_{k=0}^{n-1} 2^{k} \log (n-k)$

See Solution

Problem 56017

Find the equation of the line parallel to $y=3 x+2$ that includes the point (1, 9).
Give your answer in Point-Slope Form. $y-[?]=\square(x-\square)$
Point-Slope Form: $y-y_{1}=m\left(x-x_{1}\right)$ Enter

See Solution

Problem 56018

Find the equation of the line perpendicular to $y=\frac{1}{3} x+7$ that includes the point $(2,4)$ .
Give your answer in Point-Slope Form. $y-[?]=\square(x-\square)$
Point-Slope Form: $y-y_{1}=m\left(x-x_{1}\right)$ Enter

See Solution

Problem 56019

Solve by the elimination method $5x - y = 15$ $x + 2y = 14$
Determine the solution of the system. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Type an ordered pair.) B. There are infinitely many solutions C. There is no solution

See Solution

Problem 56020

For the shape shown below. a. What is the total surface area deducted from the rectangular prism?

See Solution

Problem 56021

Researchers wanting to assess level of heel pain associated with a new footwear developed for those with plantar fasciitis. They randomly sample 120 people with a history of plantar fasciitis and 120 people without a history of plantar fasciitis and ask them to wear the shoes and report the level of heel pain (1-10) they experience after walking in the shoes for 2 hours. The average heel pain score for the group with plantar fasciitis was 1.4 and the average heel pain score for the group without plantar fasciitis was 1.2. The Levene's test for equality of variances had a $p$ value of 0.11. You know this means: The researchers should report the $t$ -test results for assuming equal variances The researchers should report the t-test results NOT assuming equal variances The researchers should reject the null hypothesis and report there is a difference in the average heel pain score The researchers should fail to reject the null hypothesis and conclude there is NOT a difference in the average heel pain score

See Solution

Problem 56022

$-2x + y = 33$ $3x - 2y = 16$ The point $(x, y)$ is the solution to the given system of equations. What is the value of $x - y$ ? Answer Preview:

See Solution

Problem 56023

Part C: Short Answer Use the diagram on the right. The triangular prisms are congruent. Here is a student's work to determine the surface area of the composite object. Describe any errors and show a correct solution.
Triangular Prisms: (4) $\left(\frac{1}{2}\right)(40)(30)+50(1)(2)$ $+30(1)(2)+40(1)(2)=2640$ Gylinder: (1) $(100)=188.5$

See Solution

Problem 56024

The Jurassic Zoo charges $\$9$ for each adult admission and $\$5$ for each child. The total bill for the 189 people from a school trip was $\$1121$ . How many adults and how many children went to the zoo?
There were adults and children on the trip.

See Solution

Problem 56025

Ihis question: 1 point(S) possible A data set includes 109 body temperatures of healthy adult humans having a mean of $98.2^{\circ} \mathrm{F}$ and a standard deviation of $0.62^{\circ} \mathrm{F}$ . Construct a $99 \%$ confidence interval estimate of the mean body temperatu humans. What does the sample suggest about the use of $986^{\circ} \mathrm{F}$ as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean $\mu$ ? $\square$ ${ }^{\circ} \mathrm{F}<\mu<$ $\square$ ${ }^{\circ} \mathrm{F}$ (Round to three decimal places as needed.) What does this suggest about the use of $986^{\circ} \mathrm{F}$ as the mean body temperature? A. This suggests that the mean body temperature is higher than $98.6^{\circ} \mathrm{F}$ B. This suggests that the mean body temperature is lower than $98.6^{\circ} \mathrm{F}$ C. This suggests that the mean body temperature could very possibly be $98.6^{\circ} \mathrm{F}$

See Solution

Problem 56026

Simplify, using the distributive property.
Enter the number that belongs in the green box. $2(4+z)=[?]+\square z$ Enter

See Solution

Problem 56027

It takes a passenger train 5 hr less time than it takes a freight train to make the trip from Hughesville to Fairland. The passenger train averages 93 km/h, while the freight train averages 62 km/h. Find the distance from Hughesville to Fairland. It is ____ km from Hughesville to Fairland. Question 14, 13.5.7 13.5 Applications Points: 0 of 1

See Solution

Problem 56028

Solve for x . $\begin{array}{c} x+2=9 \\ x=[?] \end{array}$ Enter

See Solution

Problem 56029

Solve for d . $\begin{array}{c} 4 d-7=21 \\ d=[?] \end{array}$ Enter

See Solution

Problem 56030

$\binom{2}{a} = a^2(3-a)$ $f(x) = x^3$ $f(x) = x$ , $g(x) = (3-x)e^x - 3$

See Solution

Problem 56031

Solve for $x$ . $\begin{array}{c} 8(x-2)=-32 \\ x=[?] \end{array}$ Enter

See Solution

Problem 56032

$\sum_{k=1}^{n} \log_{2} k$

See Solution

Problem 56033

$g(x) = e^{2x}$ $\frac{dg}{dx}$ $12$

See Solution

Problem 56034

Let $f(x)=\frac{3 x^{2}+11 x-4}{2 x^{2}-5 x+2}$ This function has: 1) $A y$ intercept at the point $\square$ 2) $x$ intercepts at the point(s) $\square$ 3) Vertical asymptotes at $x=$ $\square$ 4) Horizontal asymptote at $y=$ $\square$

See Solution

Problem 56035

Let $f(x) = 3^{-x}$ . Find $f'(x)$ .

See Solution

Problem 56036

$280$ square feet. The fence along three sides is to be made of material that costs $\$4$ dollars per foot, and the material for the fourth side costs $\$16$ dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

See Solution

Problem 56037

Solve for w. $\begin{array}{c} r=2 w \\ w=[?] \end{array}$ Enter

See Solution

Problem 56038

The figures below are similar. Use proportions to find the length of $m$ . $\mathrm{m}=[?]$ Enter

See Solution

Problem 56039

21 is $30 \%$ of what number?
Round to the nearest whole number.
Enter

See Solution

Problem 56040

Solve the inequality. $\begin{array}{c} -5 x-2 \leq 3 \\ x \geq[?] \end{array}$

See Solution

Problem 56041

Solve the inequality. $\begin{array}{c} -2 x \leq \frac{-3(x+1)}{2} \\ x \geq[?] \end{array}$

See Solution

Problem 56042

Solve the following compound inequality. $\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq \square} \end{array}$

See Solution

Problem 56043

Question 1: a- Verify that the following circuit in Fig.1 generates the exclusive-NOR function (10 marks) Fig. 1: Question 1 Second Semester 2013/2014 x y $T_1$ $T_3$ $T_2$ F

See Solution

Problem 56044

Solve the following absolute value inequality. $\begin{array}{l} \frac{4|x-9|}{3}>8 \\ x>[?] \\ x<\square \square \end{array}$ Enter

See Solution

Problem 56045

11 Graph $y = |x|$ and each of the following functions on the same coordinate plane. Identify the type(s) of transformation(s) of the graph of $y = |x|$ that occurs with each of the new functions.
a $y = |x+1|$ b $y = |x| + 1$ c $y = -|x| + 1$

See Solution

Problem 56046

Evaluate the integral $\int x^{2}\left(x^{3}-5\right)^{39} d x$ by making the substitution $u=x^{3}-5$ . $\square$ $+C$
NOTE: Your answer should be in terms of $x$ and not $u$ .

See Solution

Problem 56047

Write a function to describe the following scenario.
The temperature of a hot steak starts at $140^{\circ} \mathrm{F}$ and decreases at $5^{\circ} \mathrm{F}$ per minute. What will the temperature be of this steak after a certain number of minutes? $y=[?]-\square x$ $\square$ Enter

See Solution

Problem 56048

Let $f(x) = \frac{\sqrt{x}}{\sin(x)}$ .
Find $f'(x)$ .
Choose 1 answer:

See Solution

Problem 56049

19 Write a recursive formula for each sequence. $1.1,1.9,2.7,3.5, \ldots$

See Solution

Problem 56050

Name the congruence theorem that shows the triangles are congruent. SSS SAS AAS ASA HL Not Congruent

See Solution

Problem 56051

15. Find the derivative of the function $y=\log _{3}\left(3 x^{2}-2 x\right)^{5 / 2}$

See Solution

Problem 56052

Gabrielle sold 10 t-shirts, which is 20% of her goal. Label the double number line to represent this situation. 0 T-shirts 0%

See Solution

Problem 56053

Write your answer using integers, proper fractions, and improper fractions in simp

See Solution

Problem 56054

Use the definition of a logarithm to solve the equation.
$\ln(x^2 - 7) + \ln(16) = \ln(9)$
$x =$

See Solution

Problem 56055

A line intersects the points $(5,3)$ and $(8,-6)$ . $m=-3$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

See Solution

Problem 56056

Solve for the unknown, $t$ .
$3e^{5t} = 100$
$t =$

See Solution

Problem 56057

Solve for $y$ . $\begin{array}{l} 2 y-16 x=16 \\ y=[?] x+\square \end{array}$ Enter

See Solution

Problem 56058

Convert the following equation into standard form. $\begin{array}{c} y=-7 x+7 \\ {[?] x+y=\square} \end{array}$
Standard Form: $A x+B y=C$ Enter

See Solution

Problem 56059

Convert the following equation into standard form. $\begin{array}{c} y=-7 x+7 \\ 7 x+y=[?] \end{array}$
Standard Form: $A x+B y=C$ 7 $\square$ Enter

See Solution

Problem 56060

During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size and thus can be modeled using the uninhibited exponential growth model. At 6:00 AM there were 4,000 bacteria present in the culture. At noon, the number of bacteria grew to 4,800 . How many bacteria will there be at midnight?
There will be about $\square$ bacteria at midnight. (Do not round until the final answer. Then round to the nearest whole number as needed.)

See Solution

Problem 56061

Laura (L) walks 15 more miles than Ed (E) in a week. The sum of miles walked is 47 . Find the number of miles each person walks. $L=$ $\square$ $E=$ $\square$

See Solution

Problem 56062

Nate must fix at least 25 radios in 40 hours. Vehicle radios ( x ) take him 3 hours to fix and portable radios $(y)$ take him 1 hour to fix.
Complete the inequalities below to represent this situation: $\begin{array}{c} x+y \geq[?] \\ x+y \leq \square \end{array}$ $\square$ $\square$ Enter

See Solution

Problem 56063

Solve the equation: $\log (x+3)-\log (x+1)=2$ Give exact answer(s), separated by commas and using fractions and radicals as necessary $x=$ $\square$

See Solution

Problem 56064

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.
$3^{0.3x} = 635$
The solution set expressed in terms of logarithms is $\left\{\frac{\ln(635)}{0.3\ln(3)}\right\}$ . (Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the expression. Use ln for natural logarithm and log for common logarithm.)
Now use a calculator to obtain a decimal approximation for the solution.

See Solution

Problem 56065

Find the critical numbers of the function. (Enter your answers as a comma-separated list. It an answer does not exist, enter DNE.) $h(t)=t^{3 / 4}-6 t^{1 / 4}$ $\square$

See Solution

Problem 56066

Dalia flies an ultralight plane with a tailwind to a nearby town in $1/3$ of an hour. On the return trip, she travels the same distance in $3/5$ of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane?
Initial trip: 18 miles $1/3$ hours
Return trip: 18 miles $3/5$ hours
Let $x$ be the average airspeed of the plane. Let $y$ be the average wind speed. Initial trip: $18 = (x + y)\frac{1}{3}$ Return trip: $18 = (x - y)\frac{3}{5}$ Dalia had an average airspeed of miles per hour. The average wind speed was miles per hour.

See Solution

Problem 56067

Find the sum. $6+8+10+\dots+84$ The sum is $\boxed{}$ . (Type an integer or a simplified fraction.)

See Solution

Problem 56068

Year 10 (B) Mathematics
Question 2 (a) Factorise $y=10+3 x-x^{2}$ . (b) Hence sketch the graph of $y=10+3 x-x^{2}$ . (c) Is the graph concave up or down? (d) What is the axis of symmetry? (e) Find the coordinates of the vertex. (f) What is the maximum value of the parabola?

See Solution

Problem 56069

Use a cofunction to write an expression equal to $\cos\frac{\pi}{7}$ .
$\cos\frac{\pi}{7} = \Box$

See Solution

Problem 56070

34. $a_1 = 6$ ; $d = 3$
35. $a_1 = -8$ ; $r = -2$
36. $a_1 = 4$ ; $a_n = a_{n-1} - 3$
37. $a_1 = 1$ ; $a_n = 2a_{n-1}$
38. $a_n = 4n + 2$
39. $a_n = 2(-3)^{n-1}$
40. 2, 6, 10, 14, 18, ...
41. 9, 18, 36, 72, 144, ...
42. 4, 8, 12, 16, 20, ...
43. 9, 18, 36, 72, 144, ... Write the first five terms of the following sequences. Write the first five terms of the following recursively defined sequences. Write the first five terms of the following explicitly defined sequences. Write the recursive definition for the following sequences. Write the simplified form of the explicit formula for the following sequences.

See Solution

Problem 56071

Question 1 of 8 (1 point) | Question Attempt: 1 of Unlimited A bucket is being filled with water. The graph below shows the water height (in mm) versus the time the water has been running (In seconds). Use the graph to answer the questions.
(a) What is the slope of the line?
(b) How much does the height of the water increase for each second the water is running? $\text{mm}$

See Solution

Problem 56072

Find $(f \circ g)(x)$ $\begin{aligned} f(x) & =6 x \\ g(x) & =x+9 \\ (f \circ g)(x)= & \end{aligned}$

See Solution

Problem 56073

4. (10 pts) A force of $\mathbf{F}=\left\langle 2,3, \frac{1}{2}\right\rangle$ is used to push an object up a hill from point $A$ to point (shown below). How much work is done? Assume the units of force are Newtons and the units distance are meters.

See Solution

Problem 56074

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - $a$ , $b$ , $c$ , $d$ - and only one correct answer. What is the probability that she answered both of the problems correctly? Do not round your answer.

See Solution

Problem 56075

4 5 6 7 8 10 11 12 13 14 15 Esp
Selecting Council Members The presidents, vice presidents, and secretary-treasurers from each of four classes are eligible for an all-school council. Part: $0 / 2$
Part 1 of 2 (a) How many ways can four officers (president, vice president, secretary and treasurer) be chosen from these representatives if all representatives are eligible to become any of the four officers?
There are $\square$ ways they can be chosen.

See Solution

Problem 56076

Which operation would you use to solve for $x$ in the equation $3 x=15$ ? Addition Division Squaring Subtraction

See Solution

Problem 56077

Write the standard form of the equation of the circle with the given center and radius. Center $(6,3)$ , $r=2$ Type the standard form of the equation of the circle. (Simplify your answer.)

See Solution

Problem 56078

For the given functions $f$ and $g$ , find $f \cdot g$ and state its domain.
$f(x) = 4x - 2$ ; $g(x) = 5x + 7$
A. $(f \cdot g)(x) = 9x^2 + 18x + 5$ ; all real numbers
B. $(f \cdot g)(x) = 20x^2 - 3x - 14$ ; $\{x | x \neq -14 \}$
C. $(f \cdot g)(x) = 20x^2 - 14$ ; $\{x | x \neq -14 \}$
D. $(f \cdot g)(x) = 20x^2 + 18x - 14$ ; all real numbers

See Solution

Problem 56079

Find the standardized test statistic t for a sample with $n = 10$ , $\bar{x} = 8.8$ , $s = 1.3$ , and $\alpha = 0.05$ if $H_0: \mu \le 9.7$ . Round your answer to three decimal places.
A. $-2.189$ B. $-2.617$ C. $-3.010$ D. $-3.186$

See Solution

Problem 56080

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $\$0.95$ each. If the club members buy $6$ bags of pretzels, how much do they pay in all? $\$$

See Solution

Problem 56081

Fill in the information about the absolute value functions below.
$y = \frac{1}{3}|x|$ , $y = 1|x|$ , $y = \frac{1}{2}|x|$ , $y = -2|x|$
(a) For each function, choose whether its graph opens upward or downward.
$y = \frac{1}{3}|x|$ : (Choose one) $y = 1|x|$ : (Choose one) $y = \frac{1}{2}|x|$ : (Choose one) $y = -2|x|$ : (Choose one)
(b) Choose the equation with the narrowest graph.
$y = \frac{1}{3}|x|$ $y = 1|x|$ $y = \frac{1}{2}|x|$ $y = -2|x|$
(c) Choose the equation with the widest graph.
$y = \frac{1}{3}|x|$ $y = 1|x|$ $y = \frac{1}{2}|x|$ $y = -2|x|$

See Solution

Problem 56082

MATH-1314-61408-College Algebra nework: Practice Final Exam - Homework Question 2,
Find the domain of the function. $f(x)=\frac{x+7}{6-x}$

See Solution

Problem 56083

3. Calculate the integral $\int \frac{6 x^{2}-x-3}{x^{2}(x+1)} d x$

See Solution

Problem 56084

4. Express each of the following in simplest form. a) $\frac{8}{2 \sqrt{75}-3 \sqrt{50}}$ b) $\frac{2 \sqrt{6}}{2 \sqrt{27}-\sqrt{6}}$ c) $\frac{3}{2 \sqrt{80}-\sqrt{45}}$ d) $\frac{3 \sqrt{2}+2 \sqrt{3}}{\sqrt{12}-\sqrt{8}}$

See Solution

Problem 56085

What is the value of $c$ in the equation below?
$\frac{5^5}{5^2} = a^b = c$

See Solution

Problem 56086

3. Use conjugate radicals to rationalize the denominator. a) $\frac{3}{\sqrt{5}-\sqrt{2}} \cdot \frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}-\frac{3 \sqrt{5}+3 \sqrt{2}}{\sqrt{5}^{2}-\sqrt{2}^{2}}$ b) $\frac{2 \sqrt{5}}{2 \sqrt{5}+3 \sqrt{2}}$ $\frac{3 \sqrt{10}-2}{4}$ $\frac{3 \sqrt{5}+3 \sqrt{2}}{(5)-(2)} \rightarrow \frac{3 \sqrt{5}+3 \sqrt{2}}{3}=-\sqrt{5}+\sqrt{2}$ c) $\frac{2 \sqrt{5}-8}{2 \sqrt{5}+3}$ d) $\frac{2 \sqrt{3}-\sqrt{2}}{5 \sqrt{2}+\sqrt{3}}$

See Solution

Problem 56087

Directions: Solve each equation.
1. $7m + 29 = 2m + 9$

See Solution

Problem 56088

es Tell Us Question Part 1 of 4
Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. $f(x)=-x^{3}+12 x^{2}$

See Solution

Problem 56089

$Q(x) + \frac{R(x)}{D(x)}$
$\frac{2x^4 + 7x^2 + 9x - 6}{x^2 - x + 2} =$
$Q(x) + \frac{R(x)}{D(x)} =$

See Solution

Problem 56090

Find the domain and range of the function graphed below. Domain: $[-1,2)$ Range: $[0,4]$ Score: 0.5/0.5 0/0.5 Time spent on this version: 2.5 minutes.

See Solution

Problem 56091

4. The graph of a linear relation has a slope of 16.5 and an $x$ -intercept of 121. Determine the $y$ -intercept.

See Solution

Problem 56092

$x^{\circ}$ $124^{\circ}$ Side of the triangle below has been extended to form an exterior angle of $124^{\circ}$ . Find the value of $x$ .

See Solution

Problem 56093

(1 point) (Exam FM Sample Problem 97) Five deposits of 400 are made into a fund at two-year intervals with the first deposit at the beginning of the first year. The fund earns interest at an annual effective rate of $3 \%$ during the first six years and at an annual effective rate of $5 \%$ thereafter. Calculate the annual effective yield rate eared over the investment period ending at the end of the tenth year.
ANSWER = $\square$ \%

See Solution

Problem 56094

The functions of the human resource department are independent of the organization's overall goals. True False

See Solution

Problem 56095

4. The rate of decay of a radioactive sample can be expressed by the equation $N=N_{0}\left(\frac{1}{2}\right)^{\frac{t}{\frac{t}{2}}}$ , where $N_{0}$ is the original amount, $t$ is the time passed, and $t \frac{1}{2}$ is the half-life of the sample. N is the amount of sample that remains. Polonium-218 (that is a particular isotope of type of polonium) has a half-life of 3 minutes. a. If the sample contains 25 g of polonium- 218 at time $=0$ , when will the sample contain 16.8 g ? [5] b. How much polonium will remain after 1.0 hr ? [3]

See Solution

Problem 56096

2. [-/4 Points] DETAILS MY NOTES AUFBALG8 5.3.011. ASK YOUR TEACHER PRAC Identify each x value and each y value to insert in the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ to find the slope of the line containing $P_1(4, -1)$ and $P_2(6, 9)$ . $y_2 =$ $y_1 =$ $x_2 =$ $x_1 =$ Additional Materials eBook

See Solution

Problem 56097

Put these numbers in order from least to greatest. 6.8 8.5 $7 \frac{3}{4}$

See Solution

Problem 56098

Simplify the expression: $2x - 3x + 2x - 8 + 6 + 7$ .

See Solution

Problem 56099

Find the area in the first quadrant between $y=x^{2}$ and $y=5x$ . Provide your answer as a decimal with at least two decimal places.

See Solution

Problem 56100

Calculate the square of 4 using multiplication tables. What is $4^{2}$ ?

See Solution

Math

Problem 56001

Find the area between y=−x4+4x2+4y = -x^4 + 4x^2 + 4y=−x4+4x2+4, y=x−3y = x - 3y=x−3, and −1.6≤x≤1.6-1.6 \le x \le 1.6−1.6≤x≤1.6. Round your limits of integration and answer to 2 decimal places.The area between the curves is ______ square units. Question Help: VIDEO 1 VIDEO 2

Problem 56002

Problem 56003

Problem 56004

Solve for xxx. x+5=8x=[?]\begin{array}{c} x+5=8 \\ x=[?] \end{array}x+5=8x=[?]​ Enter

Problem 56005

Whis question: 1 point(\$) possible Submit quizFind the volume of the solid generated when the region bounded by y=3xy=3 xy=3x and y=6xy=6 \sqrt{x}y=6x​ is revolved about the xxx-axis.The volume of the solid is □\square□ cubic units. (Type an exact answer.)

Problem 56006

Solve for s. 4s−27=6s=[?]\begin{array}{l} \frac{4 s-2}{7}=6 \\ s=[?] \end{array}74s−2​=6s=[?]​ Enter

Problem 56007

Use the given conversion factor to convert 12 tsp to mL . 1tsp=5 mL12tsp=[?]mL\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}1tsp12tsp​=5 mL=[?]mL​ Enter

Problem 56008

Solve for x using cross multiplication. x−32=x−43x=[?]\begin{array}{c} \frac{x-3}{2}=\frac{x-4}{3} \\ x=[?] \end{array}2x−3​=3x−4​x=[?]​ Enter

Problem 56009

Find the center and radius of the circle with the given equation. (x−1)2+(y+4)2=4(x - 1)^2 + (y + 4)^2 = 4(x−1)2+(y+4)2=4 center (x,y)=()(x, y) = (\qquad)(x,y)=() radius

Problem 56010

Solve the inequality. 4x+2<−6x<[?]\begin{array}{c} 4 x+2<-6 \\ x<[?] \end{array}4x+2<−6x<[?]​

Problem 56011

Solve the following compound inequality. −22<4x+6≤50[?]<x≤\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq} \end{array}−22<4x+6≤50[?]<x≤​ Enter

Problem 56012

Solve the following absolute value equation. ∣x+6∣7=2x=[?]\begin{array}{l} \frac{|x+6|}{7}=2 \\ x=[?] \end{array}7∣x+6∣​=2x=[?]​Enter the smallest solution first. Enter

Problem 56013

Evaluate the function for the given value. f(x)=5−x for x=−7f(−7)=[?]\begin{array}{c} f(x)=5-x \text { for } x=-7 \\ f(-7)=[?] \end{array}f(x)=5−x for x=−7f(−7)=[?]​ Enter

Problem 56014

A line intersects the points (5,3) and (8,−6)m=−3\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}(5,3) and (8,−6)m=−3​Write the equation of this line in point-slope form using the point (5,3)(5,3)(5,3). y−[?]=□(x−□)y-[?]=\square(x-\square)y−[?]=□(x−□) Enter

Problem 56015

Solve for yyy. 3x+y=3y=[?]x+\begin{array}{r} 3 x+y=3 \\ y=[?] x+ \end{array}3x+y=3y=[?]x+​

Problem 56016

∑k=0n−12klog⁡(n−k)\sum_{k=0}^{n-1} 2^{k} \log (n-k)∑k=0n−1​2klog(n−k)

Problem 56017

Find the equation of the line parallel to y=3x+2y=3 x+2y=3x+2 that includes the point (1, 9).Give your answer in Point-Slope Form. y−[?]=□(x−□)y-[?]=\square(x-\square)y−[?]=□(x−□)Point-Slope Form: y−y1=m(x−x1)y-y_{1}=m\left(x-x_{1}\right)y−y1​=m(x−x1​) Enter

Problem 56018

Problem 56019

Problem 56020

For the shape shown below. a. What is the total surface area deducted from the rectangular prism?

Problem 56021

Problem 56022

−2x+y=33-2x + y = 33−2x+y=33 3x−2y=163x - 2y = 163x−2y=16 The point (x,y)(x, y)(x,y) is the solution to the given system of equations. What is the value of x−yx - yx−y? Answer Preview:

Problem 56023

Problem 56024

The Jurassic Zoo charges $9\$9$9 for each adult admission and $5\$5$5 for each child. The total bill for the 189 people from a school trip was $1121\$1121$1121. How many adults and how many children went to the zoo?There were ______ adults and ______ children on the trip.

Problem 56025

Problem 56026

Simplify, using the distributive property.Enter the number that belongs in the green box. 2(4+z)=[?]+□z2(4+z)=[?]+\square z2(4+z)=[?]+□z Enter

Problem 56027

Problem 56028

Solve for x . x+2=9x=[?]\begin{array}{c} x+2=9 \\ x=[?] \end{array}x+2=9x=[?]​ Enter

Problem 56029

Solve for d . 4d−7=21d=[?]\begin{array}{c} 4 d-7=21 \\ d=[?] \end{array}4d−7=21d=[?]​ Enter

Problem 56030

(2a)=a2(3−a)\binom{2}{a} = a^2(3-a)(a2​)=a2(3−a) f(x)=x3f(x) = x^3f(x)=x3 f(x)=xf(x) = xf(x)=x, g(x)=(3−x)ex−3g(x) = (3-x)e^x - 3g(x)=(3−x)ex−3

Problem 56031

Solve for xxx. 8(x−2)=−32x=[?]\begin{array}{c} 8(x-2)=-32 \\ x=[?] \end{array}8(x−2)=−32x=[?]​ Enter

Problem 56032

∑k=1nlog⁡2k \sum_{k=1}^{n} \log_{2} k ∑k=1n​log2​k

Problem 56033

g(x)=e2xg(x) = e^{2x}g(x)=e2x dgdx\frac{dg}{dx}dxdg​ 121212

Problem 56034

Problem 56035

Let f(x)=3−xf(x) = 3^{-x}f(x)=3−x. Find f′(x)f'(x)f′(x).

Problem 56036

280280280 square feet. The fence along three sides is to be made of material that costs $4\$4$4 dollars per foot, and the material for the fourth side costs $16\$16$16 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

Problem 56037

Solve for w. r=2ww=[?]\begin{array}{c} r=2 w \\ w=[?] \end{array}r=2ww=[?]​ Enter

Problem 56038

The figures below are similar. Use proportions to find the length of mmm. m=[?]\mathrm{m}=[?]m=[?] Enter

Problem 56039

21 is 30%30 \%30% of what number?Round to the nearest whole number.Enter

Problem 56040

Solve the inequality. −5x−2≤3x≥[?]\begin{array}{c} -5 x-2 \leq 3 \\ x \geq[?] \end{array}−5x−2≤3x≥[?]​

Problem 56041

Solve the inequality. −2x≤−3(x+1)2x≥[?]\begin{array}{c} -2 x \leq \frac{-3(x+1)}{2} \\ x \geq[?] \end{array}−2x≤2−3(x+1)​x≥[?]​

Problem 56042

Solve the following compound inequality. −22<4x+6≤50[?]<x≤□\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq \square} \end{array}−22<4x+6≤50[?]<x≤□​

Problem 56043

Question 1: a- Verify that the following circuit in Fig.1 generates the exclusive-NOR function (10 marks) Fig. 1: Question 1 Second Semester 2013/2014 x y T1T_1T1​ T3T_3T3​ T2T_2T2​ F

Problem 56044

Solve the following absolute value inequality. 4∣x−9∣3>8x>[?]x<□□\begin{array}{l} \frac{4|x-9|}{3}>8 \\ x>[?] \\ x<\square \square \end{array}34∣x−9∣​>8x>[?]x<□□​ Enter

Find the area between $y = -x^4 + 4x^2 + 4$ , $y = x - 3$ , and $-1.6 \le x \le 1.6$ . Round your limits of integration and answer to 2 decimal places.
The area between the curves is ______ square units. Question Help: VIDEO 1 VIDEO 2

Solve for $x$ . $\begin{array}{c} x+5=8 \\ x=[?] \end{array}$ Enter

Whis question: 1 point(\$) possible Submit quiz
Find the volume of the solid generated when the region bounded by $y=3 x$ and $y=6 \sqrt{x}$ is revolved about the $x$ -axis.
The volume of the solid is $\square$ cubic units. (Type an exact answer.)

Solve for s. $\begin{array}{l} \frac{4 s-2}{7}=6 \\ s=[?] \end{array}$ Enter

Use the given conversion factor to convert 12 tsp to mL . $\begin{aligned} 1 \mathrm{tsp} & =5 \mathrm{~mL} \\ 12 \mathrm{tsp} & =[?] \mathrm{mL} \end{aligned}$ Enter

Solve for x using cross multiplication. $\begin{array}{c} \frac{x-3}{2}=\frac{x-4}{3} \\ x=[?] \end{array}$ Enter

Find the center and radius of the circle with the given equation. $(x - 1)^2 + (y + 4)^2 = 4$ center $(x, y) = (\qquad)$ radius

Solve the inequality. $\begin{array}{c} 4 x+2<-6 \\ x<[?] \end{array}$

Solve the following compound inequality. $\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq} \end{array}$ Enter

Solve the following absolute value equation. $\begin{array}{l} \frac{|x+6|}{7}=2 \\ x=[?] \end{array}$
Enter the smallest solution first. Enter

Evaluate the function for the given value. $\begin{array}{c} f(x)=5-x \text { for } x=-7 \\ f(-7)=[?] \end{array}$ Enter

A line intersects the points $\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

Solve for $y$ . $\begin{array}{r} 3 x+y=3 \\ y=[?] x+ \end{array}$

$\sum_{k=0}^{n-1} 2^{k} \log (n-k)$

Find the equation of the line parallel to $y=3 x+2$ that includes the point (1, 9).
Give your answer in Point-Slope Form. $y-[?]=\square(x-\square)$
Point-Slope Form: $y-y_{1}=m\left(x-x_{1}\right)$ Enter

$-2x + y = 33$ $3x - 2y = 16$ The point $(x, y)$ is the solution to the given system of equations. What is the value of $x - y$ ? Answer Preview:

The Jurassic Zoo charges $\$9$ for each adult admission and $\$5$ for each child. The total bill for the 189 people from a school trip was $\$1121$ . How many adults and how many children went to the zoo?
There were adults and children on the trip.

Simplify, using the distributive property.
Enter the number that belongs in the green box. $2(4+z)=[?]+\square z$ Enter

Solve for x . $\begin{array}{c} x+2=9 \\ x=[?] \end{array}$ Enter

Solve for d . $\begin{array}{c} 4 d-7=21 \\ d=[?] \end{array}$ Enter

$\binom{2}{a} = a^2(3-a)$ $f(x) = x^3$ $f(x) = x$ , $g(x) = (3-x)e^x - 3$

Solve for $x$ . $\begin{array}{c} 8(x-2)=-32 \\ x=[?] \end{array}$ Enter

$\sum_{k=1}^{n} \log_{2} k$

$g(x) = e^{2x}$ $\frac{dg}{dx}$ $12$

Let $f(x) = 3^{-x}$ . Find $f'(x)$ .

$280$ square feet. The fence along three sides is to be made of material that costs $\$4$ dollars per foot, and the material for the fourth side costs $\$16$ dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

Solve for w. $\begin{array}{c} r=2 w \\ w=[?] \end{array}$ Enter

The figures below are similar. Use proportions to find the length of $m$ . $\mathrm{m}=[?]$ Enter

21 is $30 \%$ of what number?
Round to the nearest whole number.
Enter

Solve the inequality. $\begin{array}{c} -5 x-2 \leq 3 \\ x \geq[?] \end{array}$

Solve the inequality. $\begin{array}{c} -2 x \leq \frac{-3(x+1)}{2} \\ x \geq[?] \end{array}$

Solve the following compound inequality. $\begin{array}{c} -22<4 x+6 \leq 50 \\ {[?]<x \leq \square} \end{array}$

Question 1: a- Verify that the following circuit in Fig.1 generates the exclusive-NOR function (10 marks) Fig. 1: Question 1 Second Semester 2013/2014 x y $T_1$ $T_3$ $T_2$ F

Solve the following absolute value inequality. $\begin{array}{l} \frac{4|x-9|}{3}>8 \\ x>[?] \\ x<\square \square \end{array}$ Enter

Evaluate the integral $\int x^{2}\left(x^{3}-5\right)^{39} d x$ by making the substitution $u=x^{3}-5$ . $\square$ $+C$
NOTE: Your answer should be in terms of $x$ and not $u$ .

Let $f(x) = \frac{\sqrt{x}}{\sin(x)}$ .
Find $f'(x)$ .
Choose 1 answer:

19 Write a recursive formula for each sequence. $1.1,1.9,2.7,3.5, \ldots$

15. Find the derivative of the function $y=\log _{3}\left(3 x^{2}-2 x\right)^{5 / 2}$

Use the definition of a logarithm to solve the equation.
$\ln(x^2 - 7) + \ln(16) = \ln(9)$
$x =$

A line intersects the points $(5,3)$ and $(8,-6)$ . $m=-3$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

Solve for the unknown, $t$ .
$3e^{5t} = 100$
$t =$

Solve for $y$ . $\begin{array}{l} 2 y-16 x=16 \\ y=[?] x+\square \end{array}$ Enter

Convert the following equation into standard form. $\begin{array}{c} y=-7 x+7 \\ {[?] x+y=\square} \end{array}$
Standard Form: $A x+B y=C$ Enter

Convert the following equation into standard form. $\begin{array}{c} y=-7 x+7 \\ 7 x+y=[?] \end{array}$
Standard Form: $A x+B y=C$ 7 $\square$ Enter

Laura (L) walks 15 more miles than Ed (E) in a week. The sum of miles walked is 47 . Find the number of miles each person walks. $L=$ $\square$ $E=$ $\square$

Solve the equation: $\log (x+3)-\log (x+1)=2$ Give exact answer(s), separated by commas and using fractions and radicals as necessary $x=$ $\square$

Find the critical numbers of the function. (Enter your answers as a comma-separated list. It an answer does not exist, enter DNE.) $h(t)=t^{3 / 4}-6 t^{1 / 4}$ $\square$

Find the sum. $6+8+10+\dots+84$ The sum is $\boxed{}$ . (Type an integer or a simplified fraction.)

Use a cofunction to write an expression equal to $\cos\frac{\pi}{7}$ .
$\cos\frac{\pi}{7} = \Box$

Find $(f \circ g)(x)$ $\begin{aligned} f(x) & =6 x \\ g(x) & =x+9 \\ (f \circ g)(x)= & \end{aligned}$

4. (10 pts) A force of $\mathbf{F}=\left\langle 2,3, \frac{1}{2}\right\rangle$ is used to push an object up a hill from point $A$ to point (shown below). How much work is done? Assume the units of force are Newtons and the units distance are meters.

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - $a$ , $b$ , $c$ , $d$ - and only one correct answer. What is the probability that she answered both of the problems correctly? Do not round your answer.