Browse Math problems Studdy Solved!

Problem 55801

True or false: $\int \frac{1}{1+x^{2}} d x=\ln \left(\left|1+x^{2}\right|\right)+C$

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Problem 55802

True or false: The integral of $\sin(x)$ is $\cos(x) + C$ .

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Problem 55803

True or false: If $f$ is continuous on $[a, b]$ , then $\left[\int_{a}^{b} f(x) dx\right]^{2}=\int_{a}^{b}[f(x)]^{2} dx$ ?

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Problem 55804

Find the 23rd term of the sequence: $12, 17, 22, 27, \ldots$

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Problem 55805

True or false: The partial fractions expansion for $f(x)=\frac{x+3}{x^{3}(x-1)}$ is $\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x-1}$ ?

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Problem 55806

True or false: For any continuous function $f$ , is it true that $\frac{d}{d x} \int_{x}^{0} f(t) d t=-f(x)$ ?

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Problem 55807

Find the 31st term of the sequence: $14, 16, 18, 20, \ldots$

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Problem 55808

Given 20 scores from 2.5 to 12.0 with some missing, the mean is $M = 8.0$ . Estimate the sample standard deviation from: 2.7, 6.4, 9.5, 0.5.

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Problem 55809

Find the square root of 7 to two decimal places: $\sqrt{7}$ options: 2.24, 2.45, 2.65, 3.32.

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Problem 55810

True or false: For any continuous function $f$ , does $\int_{a}^{b} f(x) dx + \int_{b}^{a} f(x) dx = 0$ when $a < b$ ?

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Problem 55811

What is Tim's average velocity if he walks $600 \mathrm{~m}$ south, $300 \mathrm{~m}$ north in 5 minutes?

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Problem 55812

Calculate the square root of 5 to two decimal places. Options: 2.65, 2.73, 2.83, 2.24.

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Problem 55813

True or false: If $0 \leq f(x) \leq g(x)$ and $\int_{3}^{\infty} g(x) dx$ diverges, does $\int_{3}^{\infty} f(x) dx$ also diverge?

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Problem 55814

True or false: For differentiable functions $f$ and $g$ , is it true that $\int f(x) g^{\prime}(x) dx = f(x) g(x) - \int f^{\prime}(x) g(x) dx$ ?

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Problem 55815

What is the force on an 80g object with an acceleration of 20 m/s²? Choose the correct calculation for force in Newtons. Options: $80 \cdot 20$ $80 \cdot 1000 \cdot 20$ $\frac{80}{1000} \cdot 20$ $\frac{80}{60^{2}} \cdot 20$

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Problem 55816

Find the volume of a solid with base $\mathrm{R}$ (bounded by $y=x(1-x)^{1/2}$ and the $x$ -axis) and square cross-sections.

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Problem 55817

What is the force on an 80g object with an acceleration of 20 m/s²? Calculate using: $80 \cdot 20$ , $80 \cdot 1000 \cdot 20$ , (C) $\frac{80}{1000} \cdot 20$ , (D) $\frac{80}{60^{2}} \cdot 20$ .

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Problem 55818

Estimate the sample standard deviation for 20 scores (mean $M=21.0$ ) ranging from 4.0 to 31.0 with some obscured. Options: 27.0, 0.4, 7.6, 16.1.

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Problem 55819

Find the unit price of turkey per pound if a $1 \frac{1}{4}$ pound package costs \$9. Show your work.

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Problem 55820

Find the average velocity of an object from $t=2$ to $t=5$ given $s(2)=5$ , $s(5)=8$ .

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Problem 55821

Find the unknown side length $b$ in triangle $ABC$ using $a=10$ and $c=20$ . Then calculate the six trig functions for angle B.

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Problem 55822

Calculate the new mean age after subtracting 2 from 20.1 and the new standard deviation of ages. Convert mean height 165.4 cm to inches using 0.394.

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Problem 55823

Find the value of the integral $\int_{1}^{4} \frac{f(\sqrt{x})}{\sqrt{x}} d x$ given that $\int_{1}^{2} f(x) d x=6$ .

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Problem 55824

Calculate the square of 5 using multiplication tables. What is $5^{2}$ ? Options: 25, 10, 32, 35.

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Problem 55825

Match each measure (sample std dev, population std dev, sample variance, population variance) with a description and equation.

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Problem 55826

A pitcher's arm rotates at 7 degrees/ms. What is the speed in degrees/s?

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Problem 55827

Given $f$ is continuous with $f(x) \geq 0$ for $a \leq x \leq b$ , and the area from $a$ to $b$ is 8. If $F(a)=6$ , find $F(b)$ .

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Problem 55828

A moped slows down from $31 \mathrm{ft} / \mathrm{s}$ at $3 \mathrm{ft} / \mathrm{s}^{2}$ . How far does it travel before stopping?

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Problem 55829

A truck drives $60 \mathrm{mph}$ , a car enters 6 min later at $73 \mathrm{mph}$ . How long until the car passes the truck?

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Problem 55830

Trevor's family has 6 members and 3 bathrooms. Each person showered for 480 mins and used 72 liters. Water costs \$0.20/liter. Total cost?

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Problem 55831

How long (in yr) will it take for $1.00 \mathrm{~g}$ of Strontium-90 to decay to $0.200 \mathrm{~g}$ ? Half-life is $28.1 \mathrm{yr}$ .

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Problem 55832

Lúcia uses energy at 420 kcal/h. Find her energy use rate in calories/min $\left(\frac{\mathrm{cal}}{\mathrm{min}}\right)$ .

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Problem 55833

Find $F^{\prime}(3)$ where $F(x)=\int_{x}^{x^{2}} f(t) dt$ , given $f(3)=3$ and $f(9)=7$ .

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Problem 55834

Find $c$ if the average value of $f(x)=x^{2}+c x$ over $[0,7]$ equals 4. Enter your answer as a decimal.

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Problem 55835

Predict the resting heart rate for a man aged 50-65 based on exercise time: more than 60 min, more than 30 min, 15-60 min, or 0-30 min?

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Problem 55836

Prove that $\angle B \cong \angle C$ given $\overline{A B} \perp \overline{B C}$ and $\overline{D C} \perp \overline{B C}$ .

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Problem 55837

Calculate the square of 7 using multiplication tables: $7^{2}$ . What is the result?

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Problem 55838

Find the value of $\int_{2}^{5}[2 f(x)-3 g(x)+9] d x$ given that $\int_{2}^{5} f(x) d x=8$ and $\int_{2}^{5} g(x) d x=4$ .

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Problem 55839

How far does sound travel in $3 \times 10^{10}$ seconds at $3.4 \times 10^{2}$ m/s? What will the calculator display?

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Problem 55840

Find the exact value of $y(2)$ given the differential equation $\frac{d y}{d x}=3 x^{2}+2$ and $y(1)=6$ .

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Problem 55841

What does "If $A$ , then $B^{\prime \prime}$ " mean? Choose the correct option: A, B, C, or D. Explain $A$ , $B$ , and the prime symbol.

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Problem 55842

$f(x) = \begin{cases} 4 & -\pi \le x < 0 \\ 0 & 0 \le x < \pi \end{cases}$
A. $f(x) = 2 + \frac{8}{3\pi}\sin x + \frac{8}{\pi}\cos 3x + \dots$ B. $f(x) = 2 - \frac{8}{\pi}\cos x - \frac{8}{3\pi}\cos 3x - \dots$ C. $f(x) = 2 - \frac{8}{\pi}\sin x - \frac{8}{3\pi}\sin 3x - \dots$ D. $f(x) = 2 + \frac{8}{\pi}\cos x + \frac{8}{3\pi}\cos 3x + \dots - \frac{8}{\pi}\sin x - \frac{8}{3\pi}\sin 3x - \dots$
Which of the following graphs shows three periods of the function?

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Problem 55843

$P(t) = \frac{280}{1+8e^{-0.45t}}$
A species of animal is discovered on an island. Suppose that the population size $P(t)$ of the species can be modeled by the following function, where time $t$ is measured in years.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Initial population size: 31 individuals Population size after 10 years:

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Problem 55844

Question 7 (1 point) Consider the following sets: $A = \{1, 2, 3, 4, 5, 6, 7, 8\}$ $B = \{6, 7, 8, 9, 10, 11, 12\}$ $C = \{2, 4, 6, 8, 10\}$ What is $B \cap C$ ? $\{6, 8, 10\}$ $\{2, 4, 6, 6, 7, 8, 8, 9, 10, 11, 12\}$ $\{2, 4, 7, 11, 12\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}$ Previous Page Next Page

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Problem 55845

Question Graph the inequality on the axes below. $y \ge -\frac{1}{3}x - 6$

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Problem 55846

2. Triangle $ABC$ has vertices $A(1, 7)$ , $B(3, 2)$ , and $C(-2, -2)$ . Graph $\triangle ABC$ and its image after a rotation of $270^\circ$ counterclockwise about $(-4, 2)$ .

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Problem 55847

14. If $y=-3 x-2$ is an equation representing a line on a graph, in which direction is the line sloped, and what is the slope $(m)$ ? up to the right, $m=-3$ up to the right, $m=2$ up to the left, $m=2$ up to the left, $m=-3$
15. Solve: $\frac{2 x}{5}+\frac{1}{3}=\frac{x}{3}$ $x=$ $\square$

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Problem 55848

Let $v = \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ and let $x = \begin{bmatrix} -1 \\ 8 \end{bmatrix}$ .
The $Proj_v x$ is equal to $k \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ where
k = \text{______}.

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Problem 55849

$\triangle ABC$ and $\triangle FDE$ are congruent by the ___ criterion. (Use the three-letter abbreviation without spaces.) The value of $x$ is _ , and the value of $y$ is _____. $x+3$ $3$ $x-y$ $14$

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Problem 55850

Combine any like terms in the expression. If there are no like terms, rewrite th exprestion. $40 u+20 u+9 u+5 u$ $\square$ H Subroil

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Problem 55851

Consider the area between the graphs $x + 2y = 28$ and $x + 7 = y^2$ . This area can be computed in two different ways using integrals. One way it can be computed is as a sum of two integrals $\int_a^b f(x) dx + \int_b^c g(x) dx \quad \text{(where } a < b < c \text{)}$ with the following values: $a = 18$ $b = 28$ $c = 42$ $f(x) = (28-x)/2$ $g(x) = \sqrt{x+7}$
Note: Do NOT make use of absolute values when giving your answer for $f(x)$ or $g(x)$ above. Alternatively, this area can be computed as a single integral $\int_\alpha^\beta h(y) dy \quad \text{(where } \alpha < \beta \text{)}$ with the following values: $\alpha = -7$ $\beta = 5$ $h(y) = 35-2y-y^2$
Note: Do NOT make use of absolute values when giving your answer for $h(y)$ above. Either way we find that the area is 288

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Problem 55852

Solve the equation. $\log _{4} 64^{x}=-3$
Change the given logarithmic equation to exponential form. $64^{x}=4^{-3}$ (Type an equation. Do not simplify.) The solution set is $\square$ (Type integers or simplified hàctions. Use a comma to separate answers as needed)

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Problem 55853

\begin{tabular}{|c|c|c|c|} \hline 22 & x & & \\ \hline 62 & $\times$ & 7 & = \\ \hline 95 & $\times$ & 8 & = \\ \hline 34 & x & 7 & = \\ \hline 27 & $x$ & 4 & = \\ \hline 75 & $\times$ & 6 & = \\ \hline 14 & $\times$ & 3 & = \\ \hline 82 & $\times$ & 7 & = \\ \hline 36 & $\times$ & 6 & = \\ \hline 30 & $\times$ & 7 & = \\ \hline 29 & $\times$ & 8 & = \\ \hline 99 & x & 4 & = \\ \hline 64 & $x$ & 8 & = \\ \hline 32 & x & 6 & = \\ \hline 34 & X & 8 & = \\ \hline 66 & x & 5 & = \\ \hline 95 & x & 8 & = \\ \hline 42 & x & 5 & = \\ \hline 56 & $\times$ & 6 & = \\ \hline 35 & $x$ & 6 & = \\ \hline 99 & x & 9 & = \\ \hline 70 & $\times$ & 3 & = \\ \hline 39 & $x$ & 7 & = \\ \hline 83 & $x$ & 9 & = \\ \hline 61 & x & 3 & = \\ \hline \end{tabular}

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Problem 55854

[9 marks] Suppose that eight $100m^2$ pens are arranged in a row, sharing common sides, as pictured below. Find the minimal length of fence needed to enclose them.

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Problem 55855

Question 25
Which one of the following formulas defines the area, $A$ , of a square in terms of its perimeter, $p$ ? $A=\frac{p^{2}}{4}$ $A=16 s^{2}$ $A=s^{2}$ $A=\frac{p^{2}}{16}$ $p=4 \sqrt{A}$
Next Question

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Problem 55856

Which of the following best describes the effect of $f^{-1}$ , given $f$ is a one-to-one function and $f(d)=c$ ? $f^{-1}$ inverts $f$ , so $f^{-1}(d)=\frac{1}{f(d)}$ $f^{-1}$ inverts the input to $f$ , so $f^{-1}(d)=\frac{1}{d}$ $f^{-1}$ inverts the output to $f$ , so $f^{-1}(d)=\frac{1}{c}$ $f^{-1}$ inverts $f$ , so $f^{-1}(f(d))=d$ The first and third options are both correct Next Question

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Problem 55857

Evaluate the definite integral. $\int_1^8 \left( \frac{x}{8} - \frac{3}{x} \right) dx$

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Problem 55858

The rocket sled shown in Figure 4.33 accelerates at a rate of $49.0 \text{ m/s}^2$ . Its passenger has a mass of $75.0 \text{ kg}$
Figure 4.33
(a) Calculate the horizontal component of the force the seat exerts against his body.
(In case you are curious) Compare this with his weight by using a ratio.
b) Calculate the direction and magnitude of the total force the seat exerts against his body.
Direction (angle above the horizontal, to the nearest degree)

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Problem 55859

A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in minutes). Which of the following defines a formula for computing the time, $t$ , as a function of the volume, $v$ ? $v=\frac{t}{2}$ $t=2 v$ $v=2 t$ $t=\frac{v}{2}$ None of the above

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Problem 55860

Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.3 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P -value for this test is 0.13 . Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an $\alpha=0.10$ level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. $H_{0}: \mu=64.3$ in. versus $H_{1}: \mu>64.3$ in. B. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu \neq 63.7 \mathrm{in}$ . C. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu>63.7$ in. D. $H_{0}: \mu=64.3$ in. versus $H_{1}: \mu \neq 64.3 \mathrm{in}$ . E. $H_{0}: \mu=63.7$ in. versus $H_{1}: \mu<63.7 \mathrm{in}$ . F. $H_{0}: \mu=64.3$ in. versus $H_{1}: \mu<64.3$ in.

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Problem 55861

Type the missing number. Hint: Use properties of multiplication. $665 \cdot 224 + 665 \cdot 811 = \boxed{\phantom{000}} \cdot (224 + 811)$ Submit

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Problem 55862

1 The triangle whose side lengths are $5 \mathrm{~cm} ., 5 \mathrm{~cm}$ ., - cm. is an isosceles triang (a) 12 (b) 11 (c) 10 (d) 9

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Problem 55863

Initial state
Final state
A hollow lightweight grooved disk whose moment of inertia is $2.5 \times 10^{-3} \mathrm{~kg} \cdot \mathrm{~m}^{2}$ rotates with negligible friction around a vertical axis. Free to slide with negligible friction in the groove are two metal blocks, each with a mass of 0.068 kg , and they are connected to each other by a spring.
At a particular moment in time (the "initial state") the blocks are 0.48 m apart, with zero radlal velocity (that is, they are not moving toward or away from each other). At this moment the angular speed of the disk is $\omega_{i}$ is 16 radians/s. The spring pulls the blocks toward each other, and at a later time (the "final state") the blocks are 0.16 m apart.
Part 1 Your Answer Correct Answer (Used)
Now what is the angular speed $\boldsymbol{\omega}_{\boldsymbol{f}}$ ? Approximate the metal blocks as point particles. $\omega_{f}=$ 49.055779729409 $\square$ radians/s
Part 2 - Your answer is incorrect.
What is the change in the potential energy of the spring, including sign? $\Delta U=1 \quad!$

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Problem 55864

Type the correct answer in each box. A circle is centered at the point $(5, -4)$ and passes through the point $(-3, 2)$ . The equation of this circle is (x + \text{___})^2 + (y + \text{_})^2 = \text{___} .

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Problem 55865

Cost of goods sold was $\$159,400$ for the period. The beginning and ending Inventory balances for the period were $\$18,700$ and $\$13,700$ , respectively. The beginning and ending Accounts Payable balances for the period were $\$22,500$ and $\$8,200$ , respectively. What was the amount of the cash paid to suppliers during the period? Cash paid to suppliers $\$150,100$

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Problem 55866

Find an equation of the line that satisfies the given conditions. Through $(9, 3)$ and $(8, 9)$ Submit Answer

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Problem 55867

$f(x)=\frac{\sqrt{1-x^{2}}}{x}$
Answer the following questions and use your answers to sketch the function. Enter ' $N$ ' if no such values exist. List the $x$ -values of any $x$ -intercepts of $f:-1,1$ Give the $y$ -value of the $y$ -intercept of $f$ : N
List the $x$ -values of any vertical asymptotes of $f$ : 0 $\square$ State the domain of $f$ . Enter your answer as an interval or union of intervals. Use a capital letter ' $U$ ' for union. Domain: $\square$ $[-1,0) \cup(0,1]$
Find the intervals on which $f$ is increasing or decreasing. Enter your answer as an interval or unfon of intervals. Use a capital letter 'U' for union. Enter ' $\}$ ' if no such intervals exist. Increasing: $\square$ $\text { \{\} }$
Decreasing: $\square$ List the coordinates of any local extrema in the form $(a, b)$ , separated by commas. Enter ' N ' if there are none. Local maxima: $(-1,0)$ Local minima: $(1,0)$

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Problem 55868

Let $\begin{array}{l} f(x)=4 \cos x+4 \tan x \\ f^{\prime}(x)=\square \\ f^{\prime}\left(-\frac{\pi}{4}\right)=\square \end{array}$

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Problem 55869

Video
Solve for s. $s^{2}+23 s+22=0$
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $s=$ $\square$ Submit

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Problem 55870

Sadie simplified the expression $\sqrt{54 a^{7} b^{3}}$ , where $a \geq 0$ , as shown: $\sqrt{54 a^{7} b^{3}}=\sqrt{3^{2} \cdot 6 \cdot a^{2} \cdot a^{5} \cdot b^{2} \cdot b}=3 a b \sqrt{6 a^{5} b}$
Describe the error Sadie made, and explain how to find the correct answer. $\square$ DONE
5 of 6 Previous Activity

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Problem 55871

3. Draw line EF that passes through $E(5,-2)$ and ha The slope $-\frac{3}{4}$ can be written as $\frac{-3}{4}$ $\qquad$ So, the rise is Plot point E $(5,-2)$ . -3 and the run is $\qquad$ 4 From E, move: $\qquad$ Mark a point F. $-3 / 4$
Draw a line through EF. a) Two lines

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Problem 55872

(3 points) If $f$ is integrable on $[a, b]$ , then $\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$ where $\Delta x=\frac{b-a}{n}$ and $x_{i}=a+i \Delta x$ . Use this definition of the intergral to evaluate $\int_{1}^{4} 4-x d x$ . First of all, we have $\int_{1}^{4} 4-x d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n}$

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Problem 55873

Read the excerpt from "Bone Detective," by Lorraine Jean Hopping.
The Hunley recovery team planned to display Diane's casts in a museum that was about to be built. But did the casts belong in a public exhibit? Some people objected to displaying soldiers' remains—even though they were plastic replicas. Diane saw nothing wrong with it. In fact, she had no qualms about showing the real bones.
"If people want to really learn about the soldiers," she said, "you have to show the bones. The bone is a record of a person's life, especially the last part—the circumstances of death."
How and why did the Hunley sink? What can we learn about the lives—and deaths—of its ill-fated crew? Scientists will likely be investigating the answers for years to come, thanks in part to Diane's casts.
Which statement best describes Hopping's viewpoint and purpose in this excerpt?
The author believes Diane France should not display soldiers' remains, and she writes to persuade readers to avoid visiting the museum.
The author thinks a Union warship caused the submarine to sink, and she writes to inform readers about the war.
The author thinks stories about the Civil War are interesting, and she writes to entertain readers with true war stories.
The author believes Diane France's work in making bone casts has helped many scientists, and she writes to give details about her experiences.

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Problem 55874

Dante is taking a self-paced math class. His scores for each of the 17 quizzes during the academic year are shown below. Complete the grouped relative frequency distribution for the data. (Note that we are using a class width of 6.) Write each relative frequency as a decimal rounded to the nearest hundredth, not as a percentage.
Quiz score 85 84 73 77 88 75 71 89 87 73 89 87 85 72 86 81 80
Quiz score Relative frequency 66 to 71 72 to 77 78 to 83 84 to 89

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Problem 55875

18 Mark for Review
An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle? (A) $29 \sqrt{2}$

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Problem 55876

Adam's credit card calculates finance charges using the adjusted balance method and a 30-day billing cycle. The table below shows his use of that credit card over three months.
| Date | Amount (\$) | Transaction | |---|---|---| | 4/1 | 626.45 | Beginning balance | | 4/10 | 37.41 | Purchase | | 4/12 | 44.50 | Purchase | | 5/3 | 65.50 | Payment | | 5/16 | 24.89 | Purchase | | 5/20 | 104.77 | Payment | | 6/6 | 23.60 | Payment | | 6/10 | 15.00 | Purchase | | 6/14 | 51.85 | Purchase |
If Adam's credit card has an APR of 14.63%, what is Adam's balance at the end of June?

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Problem 55877

$y(t) =$
Solve $\frac{d^2 y}{dt^2} + 8 \frac{dy}{dt} + 25y = 0$ with $y(0) = 2$ and $y'(0) = 4$

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Problem 55878

There is padding on all six sides of the mattress. How many square ft of padding covers the mattress? $\square$ square ft of padding covers the mattress.

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Problem 55879

$8x^2 + 112px + 8y^2 - 64py = -448p^2$
In the $xy$ -plane, the graph of the given equation is a circle. The length of the radius of the circle is $np$ , where $n$ and $p$ are positive constants. What is the value of $n$ ?
Answer Preview:

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Problem 55880

Solve the right triangle.
$Q$ $6.1$ $P$ $41^\circ$ $R$
Write your answers as integers or as decimals rounded to the nearest tenth. $QR =$ $PR =$ $m\angle Q =$

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Problem 55881

1. (a) Solve $5p^2 - 9p + 4 = 0$ (b) Hence solve $5^{2x+1} - 9(5^x) + 4 = 0$ Give your answers to 3 significant figures where appropriate. The curve with equation $y = 5^{2x+1} + 5^x$ intersects the curve with equation $y = 2(5^{x+1}) - 4$ at two points. (c) Find the coordinates of each of these two points. Give your answers to 3 significant figures where appropriate.

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Problem 55882

NAME Ryan More Egg Carton Fractions
1 Write at least two fractions to show the part of each egg carton that is filled. Draw lines on the egg cartons to divide them into equal parts. example $\frac{3}{6}$ $\frac{4}{6}$
2 Fractions can be greater than one. If a fraction greater than one is written as a whole number with a fraction, it is called a mixed number. If it is written as a fraction, it is called an improper fraction. Draw on the egg cartons to divide them into equal parts. Then write a mixed number and an improper fraction to show how many full egg cartons there are. example $1\frac{1}{4}$ $\frac{5}{4}$ The Math Learning Center Bridges in Mathematics 45

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Problem 55883

Find the area of the given geometric figure. If the figure is a circle, give an exact area and then use $\frac{22}{7}$ as an approximation for $\pi$ to approximate the area.
The exact area of the circle is $\square$ $\square$ (Simplify your answer. Type an exact answer in terms of $\pi$ .)

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Problem 55884

8. Determine the degree of $g(x) = x^2(x+3)(x+1)$

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Problem 55885

ANOVA is to be used in a research study using two therapy groups. For each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. How many different sample means will there be? a. two b. three c. five d. six

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Problem 55886

Complete the table below by filling in the principal quantum number $n$ and angular momentum quantum number $l$ for each electron subshell listed.
| subshell | principal quantum number $n$ | angular momentum quantum number $l$ | |---|---|---| | 3d | | | | 3p | | | | 6f | | | | 5f | | |

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Problem 55887

EDUCATION Identify the function graphed as linear or nonlinear. U.S. Education Spending
$1000$ y $800$ $600$ $400$ $200$ x $0$ $10$ $20$ $30$ $40$ $50$ $60$ $70$ Years Since $1949$ Spending (billions of $\$$ )

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Problem 55888

Solve each inequality.
7) $\frac{10}{x-5} \ge \frac{11}{x-6}$
8) $-\frac{3}{x+7} \le -\frac{4}{x+8}$
9) $-\frac{7}{x+5} \le -\frac{8}{x+6}$
10) $\frac{(x+7)(x-3)}{(x-5)^2} > 0$

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Problem 55889

Write the electron configuration for a neutral atom of sodium.

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Problem 55890

Decide whether each chemical reaction in the table below is an oxidation-reduction ("redox") reaction. If the reaction is a redox reaction, write down the formula of the reducing agent and the formula of the oxidizing agent. \begin{tabular}{|c|c|} \hline \multirow{3}{}{ $\mathrm{S}_{8}(s)+4 \mathrm{~Pb}(s) \rightarrow 4 \mathrm{PbS}_{2}(s)$ } & \begin{tabular}{l} redox reaction? \\ yes \\ no \end{tabular} \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \multirow[b]{3}{}{ $2 \mathrm{~N}_{2}(g)+5 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{~N}_{2} \mathrm{O}_{5}(g)$ } & redox reaction? yes no \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \multirow{3}{*}{ $\mathrm{CuSO}_{4}(a q)+\mathrm{Zn}(s) \rightarrow \mathrm{ZnSO}_{4}(a q)+\mathrm{Cu}(s)$ } & redox reaction? yes no \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \end{tabular}

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Problem 55891

Write the electron configuration for a neutral atom of phosphorus.

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Problem 55892

Decide whether each chemical reaction in the table below is an oxidation-reduction ("redox") reaction. If the reaction is a redox reaction, write down the formula of the reducing agent and the formula of the oxidizing agent. \begin{tabular}{|c|c|} \hline \multirow{3}{}{ $\mathrm{CaO}(s)+\mathrm{CO}_{2}(g) \rightarrow \mathrm{CaCO}_{3}(s)$ } & redox reaction? yes no \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \multirow{3}{}{ $3 \mathrm{O}_{2}(g)+4 \mathrm{Fe}(s) \rightarrow 2 \mathrm{Fe}_{2} \mathrm{O}_{3}(s)$ } & redox reaction? yes no \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \multirow{3}{*}{ $7 \mathrm{O}_{2}(\mathrm{~g})+2 \mathrm{CH}_{3} \mathrm{CH}_{3}(\mathrm{~g}) \rightarrow 4 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(g)$ } & \begin{tabular}{l} redox reaction? \\ yes \\ no \end{tabular} \\ \hline & reducing agent: \\ \hline & oxidizing agent: \\ \hline \end{tabular}

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Problem 55893

Fill in the information missing from this table: Some electron shells shell subshells 2 2s, 2p 1 $1s$ 3 $3s, 3p, 3d$

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Problem 55894

DUE Dec 6-11:59 pm i
In the diagram, which is not drawn to scale, $G$ is the incenter of $\triangle D E F$ and $m \angle E D F=42^{\circ}$ . Find $m \angle G D F$ . $\mathrm{m} \angle \mathrm{GDF}=$ $0^{\circ}$

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Problem 55895

What are the roots of the equation $x^{2}-10 x+26=0$ in simplest $a+b i$ form?
Answer
Additional Solution No Solution

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Problem 55896

$(1$ point\) Compute the integral: \[\int \frac{4x^6 + 26x^5 + 50x^4 + 36x^3 + 49x^2 + 42x + 36}{x^4 + 6x^3 + 9x^2} dx =\)

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Problem 55897

Question 5 Solve the equation by graphing on a separate sheet of paper. Check your solution. $2x - 3 = 3$ Question 5 of 14 Next Question

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Problem 55898

Find $\int (x+5)(x-4)dx$ + C

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Problem 55899

$\begin{array}{r} \ln (\ln (x))=3 \\ x=\square \end{array}$
Additional Materials

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Problem 55900

38 Find $\int (4x^3 + 3x^6) dx$ + C Submit Question

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Math

Problem 55801

True or false: ∫11+x2dx=ln⁡(∣1+x2∣)+C\int \frac{1}{1+x^{2}} d x=\ln \left(\left|1+x^{2}\right|\right)+C∫1+x21​dx=ln(∣∣​1+x2∣∣​)+C

Problem 55802

True or false: The integral of sin⁡(x)\sin(x)sin(x) is cos⁡(x)+C\cos(x) + Ccos(x)+C.

Problem 55803

True or false: If fff is continuous on [a,b][a, b][a,b], then [∫abf(x)dx]2=∫ab[f(x)]2dx\left[\int_{a}^{b} f(x) dx\right]^{2}=\int_{a}^{b}[f(x)]^{2} dx[∫ab​f(x)dx]2=∫ab​[f(x)]2dx?

Problem 55804

Find the 23rd term of the sequence: 12,17,22,27,…12, 17, 22, 27, \ldots12,17,22,27,…

Problem 55805

True or false: The partial fractions expansion for f(x)=x+3x3(x−1)f(x)=\frac{x+3}{x^{3}(x-1)}f(x)=x3(x−1)x+3​ is Ax+Bx2+Cx3+Dx−1\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x-1}xA​+x2B​+x3C​+x−1D​?

Problem 55806

True or false: For any continuous function fff, is it true that ddx∫x0f(t)dt=−f(x)\frac{d}{d x} \int_{x}^{0} f(t) d t=-f(x)dxd​∫x0​f(t)dt=−f(x)?

Problem 55807

Find the 31st term of the sequence: 14,16,18,20,…14, 16, 18, 20, \ldots14,16,18,20,…

Problem 55808

Given 20 scores from 2.5 to 12.0 with some missing, the mean is M=8.0M = 8.0M=8.0. Estimate the sample standard deviation from: 2.7, 6.4, 9.5, 0.5.

Problem 55809

Find the square root of 7 to two decimal places: 7\sqrt{7}7​ options: 2.24, 2.45, 2.65, 3.32.

Problem 55810

True or false: For any continuous function fff, does ∫abf(x)dx+∫baf(x)dx=0\int_{a}^{b} f(x) dx + \int_{b}^{a} f(x) dx = 0∫ab​f(x)dx+∫ba​f(x)dx=0 when a<ba < ba<b?

Problem 55811

What is Tim's average velocity if he walks 600 m600 \mathrm{~m}600 m south, 300 m300 \mathrm{~m}300 m north in 5 minutes?

Problem 55812

Calculate the square root of 5 to two decimal places. Options: 2.65, 2.73, 2.83, 2.24.

Problem 55813

True or false: If 0≤f(x)≤g(x)0 \leq f(x) \leq g(x)0≤f(x)≤g(x) and ∫3∞g(x)dx\int_{3}^{\infty} g(x) dx∫3∞​g(x)dx diverges, does ∫3∞f(x)dx\int_{3}^{\infty} f(x) dx∫3∞​f(x)dx also diverge?

Problem 55814

True or false: For differentiable functions fff and ggg, is it true that ∫f(x)g′(x)dx=f(x)g(x)−∫f′(x)g(x)dx\int f(x) g^{\prime}(x) dx = f(x) g(x) - \int f^{\prime}(x) g(x) dx∫f(x)g′(x)dx=f(x)g(x)−∫f′(x)g(x)dx?

Problem 55815

Problem 55816

Find the volume of a solid with base R\mathrm{R}R (bounded by y=x(1−x)1/2y=x(1-x)^{1/2}y=x(1−x)1/2 and the xxx-axis) and square cross-sections.

Problem 55817

What is the force on an 80g object with an acceleration of 20 m/s²? Calculate using: 80⋅2080 \cdot 2080⋅20, 80⋅1000⋅2080 \cdot 1000 \cdot 2080⋅1000⋅20, (C) 801000⋅20\frac{80}{1000} \cdot 20100080​⋅20, (D) 80602⋅20\frac{80}{60^{2}} \cdot 2060280​⋅20.

Problem 55818

Estimate the sample standard deviation for 20 scores (mean M=21.0M=21.0M=21.0) ranging from 4.0 to 31.0 with some obscured. Options: 27.0, 0.4, 7.6, 16.1.

Problem 55819

Find the unit price of turkey per pound if a 1141 \frac{1}{4}141​ pound package costs \$9. Show your work.

Problem 55820

Find the average velocity of an object from t=2t=2t=2 to t=5t=5t=5 given s(2)=5s(2)=5s(2)=5, s(5)=8s(5)=8s(5)=8.

Problem 55821

Find the unknown side length bbb in triangle ABCABCABC using a=10a=10a=10 and c=20c=20c=20. Then calculate the six trig functions for angle B.

Problem 55822

Calculate the new mean age after subtracting 2 from 20.1 and the new standard deviation of ages. Convert mean height 165.4 cm to inches using 0.394.

Problem 55823

Find the value of the integral ∫14f(x)xdx\int_{1}^{4} \frac{f(\sqrt{x})}{\sqrt{x}} d x∫14​x​f(x​)​dx given that ∫12f(x)dx=6\int_{1}^{2} f(x) d x=6∫12​f(x)dx=6.

Problem 55824

Calculate the square of 5 using multiplication tables. What is 525^{2}52? Options: 25, 10, 32, 35.

Problem 55825

Match each measure (sample std dev, population std dev, sample variance, population variance) with a description and equation.

Problem 55826

A pitcher's arm rotates at 7 degrees/ms. What is the speed in degrees/s?

Problem 55827

Given fff is continuous with f(x)≥0f(x) \geq 0f(x)≥0 for a≤x≤ba \leq x \leq ba≤x≤b, and the area from aaa to bbb is 8. If F(a)=6F(a)=6F(a)=6, find F(b)F(b)F(b).

Problem 55828

A moped slows down from 31ft/s31 \mathrm{ft} / \mathrm{s}31ft/s at 3ft/s23 \mathrm{ft} / \mathrm{s}^{2}3ft/s2. How far does it travel before stopping?

Problem 55829

A truck drives 60mph60 \mathrm{mph}60mph, a car enters 6 min later at 73mph73 \mathrm{mph}73mph. How long until the car passes the truck?

Problem 55830

Trevor's family has 6 members and 3 bathrooms. Each person showered for 480 mins and used 72 liters. Water costs \$0.20/liter. Total cost?

Problem 55831

How long (in yr) will it take for 1.00 g1.00 \mathrm{~g}1.00 g of Strontium-90 to decay to 0.200 g0.200 \mathrm{~g}0.200 g? Half-life is 28.1yr28.1 \mathrm{yr}28.1yr.

Problem 55832

Lúcia uses energy at 420 kcal/h. Find her energy use rate in calories/min (calmin)\left(\frac{\mathrm{cal}}{\mathrm{min}}\right)(mincal​).

Problem 55833

Find F′(3)F^{\prime}(3)F′(3) where F(x)=∫xx2f(t)dtF(x)=\int_{x}^{x^{2}} f(t) dtF(x)=∫xx2​f(t)dt, given f(3)=3f(3)=3f(3)=3 and f(9)=7f(9)=7f(9)=7.

Problem 55834

Find ccc if the average value of f(x)=x2+cxf(x)=x^{2}+c xf(x)=x2+cx over [0,7][0,7][0,7] equals 4. Enter your answer as a decimal.

Problem 55835

Predict the resting heart rate for a man aged 50-65 based on exercise time: more than 60 min, more than 30 min, 15-60 min, or 0-30 min?

Problem 55836

Prove that ∠B≅∠C\angle B \cong \angle C∠B≅∠C given AB‾⊥BC‾\overline{A B} \perp \overline{B C}AB⊥BC and DC‾⊥BC‾\overline{D C} \perp \overline{B C}DC⊥BC.

Problem 55837

Calculate the square of 7 using multiplication tables: 727^{2}72. What is the result?

Problem 55838

Find the value of ∫25[2f(x)−3g(x)+9]dx\int_{2}^{5}[2 f(x)-3 g(x)+9] d x∫25​[2f(x)−3g(x)+9]dx given that ∫25f(x)dx=8\int_{2}^{5} f(x) d x=8∫25​f(x)dx=8 and ∫25g(x)dx=4\int_{2}^{5} g(x) d x=4∫25​g(x)dx=4.

Problem 55839

How far does sound travel in 3×10103 \times 10^{10}3×1010 seconds at 3.4×1023.4 \times 10^{2}3.4×102 m/s? What will the calculator display?

Problem 55840

Find the exact value of y(2)y(2)y(2) given the differential equation dydx=3x2+2\frac{d y}{d x}=3 x^{2}+2dxdy​=3x2+2 and y(1)=6y(1)=6y(1)=6.

True or false: $\int \frac{1}{1+x^{2}} d x=\ln \left(\left|1+x^{2}\right|\right)+C$

True or false: The integral of $\sin(x)$ is $\cos(x) + C$ .

True or false: If $f$ is continuous on $[a, b]$ , then $\left[\int_{a}^{b} f(x) dx\right]^{2}=\int_{a}^{b}[f(x)]^{2} dx$ ?

Find the 23rd term of the sequence: $12, 17, 22, 27, \ldots$

True or false: The partial fractions expansion for $f(x)=\frac{x+3}{x^{3}(x-1)}$ is $\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x-1}$ ?

True or false: For any continuous function $f$ , is it true that $\frac{d}{d x} \int_{x}^{0} f(t) d t=-f(x)$ ?

Find the 31st term of the sequence: $14, 16, 18, 20, \ldots$

Given 20 scores from 2.5 to 12.0 with some missing, the mean is $M = 8.0$ . Estimate the sample standard deviation from: 2.7, 6.4, 9.5, 0.5.

Find the square root of 7 to two decimal places: $\sqrt{7}$ options: 2.24, 2.45, 2.65, 3.32.

True or false: For any continuous function $f$ , does $\int_{a}^{b} f(x) dx + \int_{b}^{a} f(x) dx = 0$ when $a < b$ ?

What is Tim's average velocity if he walks $600 \mathrm{~m}$ south, $300 \mathrm{~m}$ north in 5 minutes?

True or false: If $0 \leq f(x) \leq g(x)$ and $\int_{3}^{\infty} g(x) dx$ diverges, does $\int_{3}^{\infty} f(x) dx$ also diverge?

True or false: For differentiable functions $f$ and $g$ , is it true that $\int f(x) g^{\prime}(x) dx = f(x) g(x) - \int f^{\prime}(x) g(x) dx$ ?

Find the volume of a solid with base $\mathrm{R}$ (bounded by $y=x(1-x)^{1/2}$ and the $x$ -axis) and square cross-sections.

What is the force on an 80g object with an acceleration of 20 m/s²? Calculate using: $80 \cdot 20$ , $80 \cdot 1000 \cdot 20$ , (C) $\frac{80}{1000} \cdot 20$ , (D) $\frac{80}{60^{2}} \cdot 20$ .

Estimate the sample standard deviation for 20 scores (mean $M=21.0$ ) ranging from 4.0 to 31.0 with some obscured. Options: 27.0, 0.4, 7.6, 16.1.

Find the unit price of turkey per pound if a $1 \frac{1}{4}$ pound package costs \$9. Show your work.

Find the average velocity of an object from $t=2$ to $t=5$ given $s(2)=5$ , $s(5)=8$ .

Find the unknown side length $b$ in triangle $ABC$ using $a=10$ and $c=20$ . Then calculate the six trig functions for angle B.

Find the value of the integral $\int_{1}^{4} \frac{f(\sqrt{x})}{\sqrt{x}} d x$ given that $\int_{1}^{2} f(x) d x=6$ .

Calculate the square of 5 using multiplication tables. What is $5^{2}$ ? Options: 25, 10, 32, 35.

Given $f$ is continuous with $f(x) \geq 0$ for $a \leq x \leq b$ , and the area from $a$ to $b$ is 8. If $F(a)=6$ , find $F(b)$ .

A moped slows down from $31 \mathrm{ft} / \mathrm{s}$ at $3 \mathrm{ft} / \mathrm{s}^{2}$ . How far does it travel before stopping?

A truck drives $60 \mathrm{mph}$ , a car enters 6 min later at $73 \mathrm{mph}$ . How long until the car passes the truck?

How long (in yr) will it take for $1.00 \mathrm{~g}$ of Strontium-90 to decay to $0.200 \mathrm{~g}$ ? Half-life is $28.1 \mathrm{yr}$ .

Lúcia uses energy at 420 kcal/h. Find her energy use rate in calories/min $\left(\frac{\mathrm{cal}}{\mathrm{min}}\right)$ .

Find $F^{\prime}(3)$ where $F(x)=\int_{x}^{x^{2}} f(t) dt$ , given $f(3)=3$ and $f(9)=7$ .

Find $c$ if the average value of $f(x)=x^{2}+c x$ over $[0,7]$ equals 4. Enter your answer as a decimal.

Prove that $\angle B \cong \angle C$ given $\overline{A B} \perp \overline{B C}$ and $\overline{D C} \perp \overline{B C}$ .

Calculate the square of 7 using multiplication tables: $7^{2}$ . What is the result?

Find the value of $\int_{2}^{5}[2 f(x)-3 g(x)+9] d x$ given that $\int_{2}^{5} f(x) d x=8$ and $\int_{2}^{5} g(x) d x=4$ .

How far does sound travel in $3 \times 10^{10}$ seconds at $3.4 \times 10^{2}$ m/s? What will the calculator display?

Find the exact value of $y(2)$ given the differential equation $\frac{d y}{d x}=3 x^{2}+2$ and $y(1)=6$ .

What does "If $A$ , then $B^{\prime \prime}$ " mean? Choose the correct option: A, B, C, or D. Explain $A$ , $B$ , and the prime symbol.

Question Graph the inequality on the axes below. $y \ge -\frac{1}{3}x - 6$

2. Triangle $ABC$ has vertices $A(1, 7)$ , $B(3, 2)$ , and $C(-2, -2)$ . Graph $\triangle ABC$ and its image after a rotation of $270^\circ$ counterclockwise about $(-4, 2)$ .

Let $v = \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ and let $x = \begin{bmatrix} -1 \\ 8 \end{bmatrix}$ .
The $Proj_v x$ is equal to $k \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ where
k = \text{______}.

$\triangle ABC$ and $\triangle FDE$ are congruent by the ___ criterion. (Use the three-letter abbreviation without spaces.) The value of $x$ is _ , and the value of $y$ is _____. $x+3$ $3$ $x-y$ $14$

Combine any like terms in the expression. If there are no like terms, rewrite th exprestion. $40 u+20 u+9 u+5 u$ $\square$ H Subroil

[9 marks] Suppose that eight $100m^2$ pens are arranged in a row, sharing common sides, as pictured below. Find the minimal length of fence needed to enclose them.

Question 25
Which one of the following formulas defines the area, $A$ , of a square in terms of its perimeter, $p$ ? $A=\frac{p^{2}}{4}$ $A=16 s^{2}$ $A=s^{2}$ $A=\frac{p^{2}}{16}$ $p=4 \sqrt{A}$
Next Question

Evaluate the definite integral. $\int_1^8 \left( \frac{x}{8} - \frac{3}{x} \right) dx$

Type the missing number. Hint: Use properties of multiplication. $665 \cdot 224 + 665 \cdot 811 = \boxed{\phantom{000}} \cdot (224 + 811)$ Submit

1 The triangle whose side lengths are $5 \mathrm{~cm} ., 5 \mathrm{~cm}$ ., - cm. is an isosceles triang (a) 12 (b) 11 (c) 10 (d) 9

Type the correct answer in each box. A circle is centered at the point $(5, -4)$ and passes through the point $(-3, 2)$ . The equation of this circle is (x + \text{___})^2 + (y + \text{_})^2 = \text{___} .

Find an equation of the line that satisfies the given conditions. Through $(9, 3)$ and $(8, 9)$ Submit Answer

Let $\begin{array}{l} f(x)=4 \cos x+4 \tan x \\ f^{\prime}(x)=\square \\ f^{\prime}\left(-\frac{\pi}{4}\right)=\square \end{array}$

Video
Solve for s. $s^{2}+23 s+22=0$
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $s=$ $\square$ Submit