Browse Math problems Studdy Solved!

Problem 53601

Find the linear function $f(x) = 0.25(10-x) + 1$ .

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Problem 53602

Select the values that make the inequality $r<7$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt iout of 2 \begin{tabular}{lll} -1 & 2 & 4 \\ 6 & 6.9 & 6.99 \\ 6.999 & 7 & 7.001 \\ 7.01 & 7.1 & 8 \\ 10 & 12 & 15 \end{tabular} Submit Answer

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Problem 53603

Which of the following values are solutions to the inequality $1>5+4 x ?$ I. -1 II. 5 III. 2
Answer None I only II only III only I and II I and III II and 7 I, II and III

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Problem 53604

1. Which chemical equation is properly balanced? A. $4\text{Ba} + \text{S}_2 \rightarrow 2\text{BaS}$ B. $4\text{HgO} \rightarrow 4\text{Hg} + 3\text{O}_2$ C. $2\text{FeO} + 4\text{C} \rightarrow \text{Fe} + \text{CO}_2$ D. $\text{SiI}_4 + 2\text{Mg} \rightarrow \text{Si} + 2\text{MgI}_2$

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Problem 53605

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă $MN = 2$ cm și $PQ = 6$ cm atunci lungimea în centimetri a segmentului $(XY)$ este egală cu:

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Problem 53606

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă $MN + PQ = 22$ cm atunci lungimea în centimetri a segmentului $XY$ este egală cu:

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Problem 53607

Fie trapezul $MNQP$ din figura de mai sus în care $XY$ este linie mijlocie. Folosind datele de pe figură, $x$ este egal cu:

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Problem 53608

Solve the system of equations. If the system has no solution, say that it is inconsistent. $\begin{cases} x + 4y = 8 \\ 6x + 24y = 48 \end{cases}$ Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is $x =$ and $y =$ (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered pairs, they can be expressed as $\{(x,y) | x =$ , y any real number\}. (Simplify your answer. Type an expression using $y$ as the variable as needed.)
C. The system is inconsistent.

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Problem 53609

15. Coin Value. A parking meter contains dimes and quarters worth $\$15.25$ . There are $103$ coins in all. How many of each type of coin are there?

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Problem 53610

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă MN+PQ=22 cm atunci lungimea în centimetri a segmentului (XY) este egală cu:

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Problem 53611

$6$ cm $A$ $B$ $8$ cm $45^\circ$ $D$ $M$ $C$ Fie trapezul dreptunghic de mai sus în care $BM \perp CD$ . Folosind datele din figură obținem: $BM =$ cm, $DM =$ cm, $MC =$ cm, $DC =$ cm.

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Problem 53612

$x + y \ge -3$ $-x + y \ge -3$ Find all corner points. (If there are no corner points, enter NONE in each blank.) $(x, y) = (0, -3)$

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Problem 53613

$AB = 6$ cm $AD = 8$ cm $m\angle{C} = 45^\circ$ $BM \perp CD$ $BM = \boxed{\phantom{00}}$ cm $DM = \boxed{\phantom{00}}$ cm $MC = \boxed{\phantom{00}}$ cm $DC = \boxed{\phantom{00}}$ cm Fie trapezul dreptunghic de mai sus în care $BM \perp CD$ . Folosind datele din figură obținem:

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Problem 53614

A parenting magazine reports that the average amount of wireless data used by teenagers each month is 7 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 4 teenagers at her high school, and calculates a mean of 5.8 Gb per month with a standard deviation of 1.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.005 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. Answer

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Problem 53615

11) 12% of 53 12) 78% of 36 13) 90% of 56 14) 80% of 223 15) 45% of 390

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Problem 53616

Multiply. Assume $w$ and $v$ are greater than or equal to zero, and write your answer in simplest form. $\sqrt{30 w^{5}} \cdot \sqrt{5 v^{2}}$ $\square$ Submit

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Problem 53617

6. Find the domain of $f(x)$ . $f(x)=\sqrt{12-4 x}$

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Problem 53618

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is $48\sqrt{13}$ square units. What is the length, in units, of the other leg of this triangle?
A 16 B 32 C $3\sqrt{13}$

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Problem 53619

Simplify the given polynomial by combining like terms. $\begin{array}{c} 12 x^{2}-7 x^{2}-y \\ 12 x^{2}-7 x^{2}-y= \end{array}$

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Problem 53620

Use the information below to answer the questions that follow. 2
The arithmetic sequence with terms $a_{4}=-8$ and $a_{5}=-4$ Numeric Find $a_{1}$ Type your
Arithmetic Sequence and Series: $a_{n}=a_{1}+(n-1) d \quad S_{n}=\frac{n\left(a_{1}+a_{n}\right)}{2}$
Geometric Sequences and Series: $\begin{array}{l} a_{n}=a_{1} \cdot r^{n-1} \\ S_{n}=\frac{a_{1}\left(1-r^{n}\right)}{1-r} \text { or } S_{n}=\frac{a_{1}-a_{n} r}{1-r} \end{array}$

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Problem 53621

28. The monthly profit $P$ , in dollars, of a party-planning business after time $t$ , in months, is given by $P(t) = -30t^2 + 1260t - 2400$ . A. Write the function in intercept form. What are the x-intercepts of the graph of the function? What do they mean in this situation? B. What is the y-intercept of the graph of the function? How would you interpret the y-intercept in this situation? C. Write the function in vertex form. What is the vertex of the graph of the function? How would you interpret the vertex in this situation?

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Problem 53622

(3) Decompose the numbers $\begin{array}{l} 481= \\ 270= \\ 518= \\ 709= \end{array}$

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Problem 53623

Multiplying Monomials Determine whether each expression is a monomial. Write yes or no. Explain.
1. 11
2. $a - b$
3. $\frac{p^2}{r^2}$
4. $y$
5. $j^3k$
6. $2a + 3b$ Simplify.
7. $a^2(a^3)(a^6)$
8. $x(x^2)(x^7)$
9. $(y^2z)(yz^2)$
10. $(l^2k^2)(l^3k)$
11. $(a^2b^4)(a^2b^2)$
12. $(cd^2)(c^3d^2)$
13. $(2x^2)(3x^5)$
14. $(5a^7)(4a^2)$
15. $(4xy^3)(3x^3y^5)$
16. $(7a^5b^2)(a^2b^3)$
17. $(-5m^3)(3m^8)$
18. $(-2cd)(-4cd)$
19. $(10^2)^3$
20. $(p^3)^{12}$
21. $(-6p)^2$
22. $(-3y)^3$
23. $(3pr^2)^2$
24. $(2b^3c^4)^2$ GEOMETRY Express the area of each figure as a monomial.

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Problem 53624

1. Simplify Using Exponent Rules
1. $x^{\frac{2}{3}} * x^{\frac{1}{2}}$

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Problem 53625

1. What is the product of $(2 x-1)\left(2 x^{2}-x+7\right) ?$

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Problem 53626

Jennifer purchased a seven-year old car for $\$ 14,400$ . When the car was new, it sold for $\$ 36,000$ . Find the exponential rate of depreciation. Round to the nearest tenth of a percent. $\square$ \%

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Problem 53627

3. $\left(8^{\frac{-3}{4}}\right)^{\frac{-8}{9}}$

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Problem 53628

Find the exact value of $\cos{G}$ in simplest radical form.
$\cos{G} =$
Answer Attempt 1 out of 2 Submit Answer

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Problem 53629

Найди площадь трапеции, изображённой на рисунке. $T$ 3 $R$ $150^\circ$ 7 $S$ 9 $K$ Запиши ответ числом.

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Problem 53630

2nd Term Exam
$8$ $10$ $6$ $8$
2. Angle $R$ and angle $S$ form a pair of supplementary angles. If $m\angle R = 2a$ , which expression represents the measure of angle $S$ ? A. $(2a - 90)$ B. $(90 - 2a)$ C. $2(a - 90)$ D. $2(90 - a)$

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Problem 53631

For the functions $f(x) = \frac{x}{x-3}$ and $g(x) = \frac{11}{x}$ , find the composition $f \circ g$ and simplify your answer as much as possible. Write the domain using interval notation.
$(f \circ g)(x) = \boxed{\phantom{0}}$
Domain of $f \circ g$ : $\boxed{\phantom{0}}$

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Problem 53632

$MNKL$ — трапеция. $QT = 23$ см, $NH = 15$ см. Чему равна площадь $MNKL$ ?
Запиши ответ числом. S = \text{____} \, \text{см}^2

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Problem 53633

Use radicals.
7. $\sqrt[4]{243x} \cdot \sqrt[4]{\frac{1}{3x^5}}$
8. $\sqrt[4]{7} \cdot \sqrt[3]{7}$

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Problem 53634

The linear function shown here can be used to find the length $y$ (in cm ) of a metal spring when an $\times$ pound weight is attached.
Find the slope of this line and interpret it as a rate of change. slope $=$ $\square$ A. The spring stretches 5 cm . B. The spring stretctes by 5 cm per pound. C. The slope is 5 . D. The length of the spring is 10 cm .

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Problem 53635

4. $y = x^3 - 3x$
(In this case alone I'll suggest some choices for possible x-values.)
x | y ---|--- -2 | -1 | 0 | 1 | 2 |

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Problem 53636

The measure of $\angle DCG$ is $145^\circ$ .
What is $m\angle DCE$ ?
$90^\circ$ $100^\circ$ $180^\circ$ $190^\circ$

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Problem 53637

Consider the figure.
$MN$ is a straight line passing through point $P$ and $m\angle QPR = 52^\circ$ , what is the measure of $\angle MPR$ ?
$52^\circ$ $64^\circ$ $71^\circ$ $116^\circ$

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Problem 53638

26. $4x + 8y = -8$ $x = -2y + 1$
27. $2x - 3y = 6$ $y = \frac{2}{3}x - 2$
28. $2x + 2y = 6$ $4x + 4y = 4$
29. $2x + 5y = -5$ $y = -\frac{2}{5}x - 1$
Write and solve a system of equations for the situation. SEE EXAMPLE 4
30. At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10 m/min. Tam's balloon is at an altitude of 16 m and descends 15 m/min. a. In how many minutes will both balloons be at the same altitude? b. What will be the altitude?
31. Ricardo and Teo have a combined age of 31. Ricardo is 4 years older than twice Teo's age. How old are Ricardo and Teo?

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Problem 53639

2. For a normal distribution with a mean of $\mu=40$ and $\sigma=4$ , what is the probability of selecting an individual with a score greater than 46 ? (a.) 0.0668

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Problem 53640

Solve each equation or inequality. Round to four decimal places.
7. $4^{3 x}=12$
8. $6^{x+2}=18$
9. $5^{4 x-2}=120$
10. $7^{3 x-1} \geq 21$
11. $2 \cdot 4^{x+4}=30$
12. $6.5^{2 x} \geq 200$
13. $3.6^{4 x-1}=85.4$
14. $2^{x+5}=3^{x-2}$
15. $9^{3 x}=4^{5 x+2}$
16. $6^{x-5}=2^{7 x+3}$

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Problem 53641

33. Use Structure In a basketball game, the Bulldogs make a total of 21 shots. Some of the shots are 2-point shots while others are 3-point shots. The Bulldogs score a total of 50 points. How many 2-point and 3-point shots did they make?

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Problem 53642

Which of the following are true? If false, explain briefly.
a) A very high $P$ -value is strong evidence that the null hypothesis is false. b) A very low $P$ -value proves that the null hypothesis is false. c) A high $P$ -value shows that the null hypothesis is true. d) A $P$ -value below $0.05$ is always considered sufficient evidence to reject a null hypothesis.
a) Choose the correct answer below. A. This statement is false because it is a low $P$ -value that provides evidence that the null hypothesis is false. B. This statement is false because a very high $P$ -value proves that the null hypothesis is false. C. This statement is false because a very high $P$ -value is strong evidence that the null hypothesis is true. D. This statement is true.
b) Choose the correct answer below. A. This statement is false because a very low $P$ -value proves that the null hypothesis is true. B. This statement is false because it is a very high $P$ -value that proves that the null hypothesis is false. C. This statement is true. D. This statement is false because a very low $P$ -value only shows strong evidence that the null hypothesis is false.
c) Choose the correct answer below. A. This statement is false because a high $P$ -value shows that the null hypothesis is false. B. This statement is true. C. This statement is false because a high $P$ -value shows that the data is consistent with the null hypothesis, but can never prove that the null hypothesis is true. D. This statement is false because a high $P$ -value shows that the data is not consistent with the null hypothesis, and can only prove that the null hypothesis is false.

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Problem 53643

17. $\sqrt[4]{4x-3}=0$

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Problem 53644

3. First, $\angle R$ is congruent to $\angle Q$ . Next, $\angle P$ is congruent to $\angle S$ . Last, $MP$ is congruent to $NS$ . $MP$ is $\underline{opposite}$ side for $\angle R$ and $\angle P$ . Since two angles and one non-included side of the first triangle are congruent to the corresponding two angles and one non-included side of the other triangle, the two triangles are congruent by $\underline{AAS}$ .

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Problem 53645

Example 3 Solve each equation. Round to the nearest ten-thousandth.
23. $8^{x}=40$
25. $2.9^{a-4}=8.1$
24. $5^{x}=55$
27. $13^{x^{2}}=33.3$
26. $9^{b-1}=7^{b}$
28. $15^{x^{2}}=110$
Example 4 Solve each inequality. Round to the nearest ten-thousandth.
29. $6^{3 n}>36$
31. $3^{y-1} \leq 4^{y}$
30. $2^{4 x} \leq 20$
32. $5^{p-2} \geq 2^{p}$
Example 5 Express each logarithm in terms of common logarithms. Then approximate its value to the nearest ten-thousandth.
33. $\log _{7} 18$
35. $\log _{2} 16$
34. $\log _{5} 31$
37. $\log _{3} 11$
36. $\log _{4} 9$
38. $\log _{6} 33$

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Problem 53646

Реши задачу. Дана прямоугольная трапеция $MNKL$ с основаниями $ML = 260$ мм и $NK = 208$ мм. Найди её площадь, если $\angle KLM = 45^\circ$ . Вырази ответ в дм $^{2}$ .

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Problem 53647

The road outside of Butch's house, when seen from above, takes on the shape the graph of $y = x^3$ where both $x$ and $y$ are measured in feet. The end of Butch's driveway (where he gets onto the road) is at the origin which we will call the point H (for home).
One day Butch goes for a drive on this road, leaving home sometime in the mid-afternoon when the traffic is virtually nonexistent. Butch's position on the road can be thought of as the point B with coordinates $(x, y)$ where both $x$ and $y$ are differentiable functions of time, say $x(t)$ and $y(t)$ . At some time, not long after leaving home, Butch passes through the point where $x = 2$ . At that instant his $x$ -coordinate is increasing at a rate of 3 feet per second.
a) What is the rate of change of Butch's $y$ -coordinate at this instant? Number Units Section Attempt 1 of 4 Verify

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Problem 53648

Two Polish math professors and their students spun a Belgian euro coin 250 times. It landed on heads 140 times. One of the professors concluded that the coin was minted asymmetrically. A representative from the Belgian mint said that the result was just by chance. Is the math professor or the representative from the Belgian mint correct? At the 0.01 SL test the math professor's claim that the coin is not fair.
We reject the null hypothesis because we find sufficient evidence to state that the alternative hypothesis is true.
We reject the null hypothesis because we fail to find sufficient evidence to state that the alternative hypothesis is true.
We fail to reject the null hypothesis because we fail to find sufficient evidence to state that the alternative hypothesis is true.
We fail to reject the null hypothesis because we find sufficient evidence to state that the alternative hypothesis is true.

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Problem 53649

$4 y+12=3 x$

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Problem 53650

Marked out of 3.0 The integral $\int \frac{1}{2 x} d x$ :Select on . $\frac{1}{2} \ln |x|+$
$\text { . } \ln |2 x|+$ .non of these answer
$.2 \ln |2 x|+$

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Problem 53651

5. In the following rational cquations, state the restrictions on the variable and use cross-multiplication to solve the equation. a) $\frac{x^{2}+2}{x}=3$ b) $\frac{x^{2}-9}{x+3}=4$

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Problem 53652

16 Mark for Review Calculator Reference 2ACTICETEST $X^{2}$ :04 ide e $M$ 屛 $\square$ $\qquad$ $\begin{array}{c} y=-1.5 \\ y=x^{2}+8 x+a \end{array}$
In the given system of equations, $a$ is a positive constant. The system has exactly one distinct real solution. What is the value of $a$ ? $17.5$ $\square$
Answer Preview: 17.5 $\square$ Show Keypad 16 of 22 Back Next 734 AM 12759024

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Problem 53653

gwata Howe Wve Oevartanens ust Sign in migrats 6 Problem 5
Kiran and Mai are trying to figure out if this equation is an identity: $(a-b)^{4}=a^{4}-4 a^{3} b+6 a^{2} b^{2}-4 a b^{3}+b^{4}$
Kiran picks several different values for $a$ and $b$ to test. For each pair he tries, the left side and the right side have the same vatue. Since his tests all worked, Kiran thinks the equation is an identity.
Mai started by using the distributive property on the expression on the left side. Sbe then arranged the result to look the same astug right side. Since she can write both sides the same way, Mai thinks the equation is an identity. Who do you think had a better argument for why the equation is an identity?
A I think Kiran has a better argument.
B I think Mai has a better argument.
Explain your reasoning. Back to top Sidebar Tools 2 3 4 5 6 7 8 9 10 Fullscreen Save \& Exit Sign out Dec 5 10:32 US

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Problem 53654

$\frac{\cos x-\sin x}{\cos x+\sin x}=\sec 2 x-\tan 2 x$

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Problem 53655

Which of the following values are solutions to the inequality $7 \leq 3 x-2$ ? I. 3 II. -3 III. -2
Answer None I only Submit Answer II only III only I and II I and III II and III I, II and III

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Problem 53656

Which of the following values are solutions to the inequality $-4-3 x<-8 ?$ I. 8 II. 2 III. 9
Answer None I only Submit Answer II only III only I and II I and III II and III I, II and III

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Problem 53657

In the diagram of $\triangle$ ABC below, $\overline{AB} \cong \overline{AC}$ . The measure of $\angle B$ is $40^\circ$ .
Find the measure of $< A$ .

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Problem 53658

Evaluate the expression when $x = 6$ .
$x^2 - 5x - 1$

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Problem 53659

Solve for x and find angle D. $x^{\circ}$ x = Angle D =

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Problem 53660

Evaluate the function $f(x) = 5x^2 + 2x$ for the given values of $x$ .
(a) $f(-2)$ (b) $f(-1)$ (c) $f(0)$ (d) $f(1)$ (e) $f(2)$

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Problem 53661

4 Mark for Review
The point with coordinates $(d, 4)$ lies on the line shown. What is the value of $d$ ? (A) $\frac{7}{2}$ (B) $\frac{26}{7}$ (C) $\frac{24}{7}$ (D) $\frac{27}{8}$

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Problem 53662

Use the graph of the function $f(x)$ shown below in order to determine all values of $a$ for which $\lim_{x \to a} f(x) = -3$ on the interval $-9 < x < 9$ .
Answer Attempt 2 out of 2
Additional Solution No Solution
$a =$

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Problem 53663

Points: 0 of 1 Save
Use graphs to find the set. $(-1,4) \cap[0,5]$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set is $\square$ . (Type your answer in interval notation.) B. The set is the empty set.

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Problem 53664

59. After once again losing a football game to the archrival, a college's alumni association conducted a survey to see if alumni were in favor of firing the coach. An SRS of 100 alumni from the population of all living alumni was taken, and 64 of the alumni in the sample were in favor of firing the coach. Suppose you wish to see if a majority of living alumni are in favor of firing the coach. The appropriate test statistic is (a) $z=\frac{0.64-0.5}{\sqrt{\frac{0.64(0.36)}{100}}}$ (d) $z=\frac{0.64-0.5}{\sqrt{\frac{0.64(0.36)}{64}}}$ (b) $t=\frac{0.64-0.5}{\sqrt{\frac{0.64(0.36)}{100}}}$ (e) $z=\frac{0.5-0.64}{\sqrt{\frac{0.5(0.5)}{100}}}$ (c) $z=\frac{0.64-0.5}{\sqrt{\frac{0.5(0.5)}{100}}}$

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Problem 53665

If $n$ is the least of two consecutive odd integers, which of the fowlowing represents the product of the two integers?

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Problem 53666

Simplify. $(-6ba^2)^2$ Write your answer without parentheses

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Problem 53667

Instructions Answer Options
No calculator is allowed on this question. Given the differentiable function $f(x)$ and $\int_{1}^{5} f(x) d x=5$ , evaluate $\int_{-1}^{3} f(x+2) d x$
Elimination Tool
Select one answer
A -5
B -1
C 3
D 5 Next Question Submi

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Problem 53668

Salvatore is a plumber. He charges $\$ 100$ for all work that is completed in less than 2 hours. He charges $\$ 250$ for work that requires 2 to 5 hours, and he charges $\$ 400$ for work that takes between 5 and 8 hours. Which best describes the graph of the function that models Salvatore's price scale? A) Continuous; range: $\{y \backslash y=100,250,400\}$ B) Continuous; domain: $\{x \mid 0<x \leq 8\}$ C) Discontinuous; range: $\{y \mid y=100,250,400\}$ D) Discontinuous; domain: $\{x \mid x=2,5,8\}$

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Problem 53669

b) $\frac{2}{15} + \frac{11}{15} + \frac{8}{15}$

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Problem 53670

Complete the truth table for the statement $S \wedge \sim$ . \begin{tabular}{cc||c} $\mathbf{S}$ & $\mathbf{P}$ & $\mathbf{S \wedge \sim P}$ \\ \hline T & T & ?v \\ T & F & ?v \\ F & T & ?v \\ F & F & ?v \end{tabular}
Check Answer

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Problem 53671

Which of the following is equivalient to $-3(x-4)(x-9)$ ?

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Problem 53672

Graph of the function $f$ is shown in the figure below. main and range of $f$ as intervals or unions of intervals.

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Problem 53673

Emilia tried to evaluate an expression. Here is her work: $\begin{aligned} & 170-\left(4+36 \div 2 \cdot 3^{2}\right) \\ = & 170-(4+36 \div 2 \cdot 9) \\ = & 170-(4+36 \div 18) \\ = & 170-(4+2) \\ = & 170-6 \\ = & \text { step } 1 \\ & 164 \end{aligned}$
Is Emilia's work correct?
No, Emilia made a mistake going from Step 1 to Step 2. Emilia should have divided 36 by 2 before multiplying. The order of operations says to multiply and divide from left to right.
No, Emilia made a mistake going from Step 3 to Step 4. Emilia should have subtracted 4 from 170 before adding. The order of operations says to add and subtract from left to right.
Yes, Emilia's work is correct.

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Problem 53674

Solve the equation. $x - 13 = -22$

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Problem 53675

Video
Joey tried to evaluate an expression. Here is his work: $\begin{array}{l} 97-3+5^{3} \div 25 \cdot 2 \cdot 3^{2} \\ =97-3+125 \div 25 \cdot 2 \cdot 9 \text { Stap } 1 \\ =97-3+5 \cdot 2 \cdot 9 \quad \operatorname{siep} 2 \\ =97-3+10 \cdot 9 \quad \operatorname{stap} 3 \\ =97-3+90 \quad \text { Step } 4 \\ =97-93 \text { Stepp } 5 \\ =4 \text { Step } 6 \end{array}$
Is Joey's work correct?
No, Joey made a mistake going from the given expression to Step 1. Joey should have multiplied 2 and 3 instead of evaluating exponents. The order of operations says to multiply before you evaluate exponents.
No, Joey made a mistake going from Step 4 to Step 5. Joey should have subtracted 3 from 97 before adding. The order of operations says to add and subtract from left to right.
Yes, Joey's work is correct. Submit

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Problem 53676

8. (a) What is a reference angle? (b) i) Draw the unit circle showing the following angles $0^\circ$ , $30^\circ$ , $45^\circ$ , $60^\circ$ , $90^\circ$ . ii) Show the corresponding points to the angles i) and how you obtained them. (c) Write $f(x) = |x + 2|$ as a piecewise function and sketch it.

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Problem 53677

$(2x^3 + 4x^2 - 6) \div (x+2)$

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Problem 53678

Name 3 points that are collinear.

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Problem 53679

C. Written Response: Be sure to show all necessary work for full marks.
1. There are two unknown integers. The sum of the first number and twice the second number is 20 . The squared of the first number plus four-times itself equals to the second number. Determine the system from the question, and then algebraically solve it. (3 marks)

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Problem 53680

Question: Decompose the function $f(g(h(x))) = 5\sin{7x}$ into $f(x)$ , $g(x)$ and $h(x)$ .
Answer Attempt 1 out of 2
$h(x) =$ $g(x) =$ $f(x) =$ Submit Answer

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Problem 53681

$-6x + 4 < 40 =$

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Problem 53682

Over which interval does function $f(x) = \frac{1}{\sqrt{x+5}}$ have a point (points) of discontinuity?
(A) ]-5, + $\infty$ [ (B) ]- $\infty$ , -5] (C) ]0, -5[ (D) ]0, -5[ (E) [-5, + $\infty$ [

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Problem 53683

Decompose the function $f(g(h(x))) = \sqrt{\frac{1}{x}} + 9$ into $f(x)$ , $g(x)$ and $h(x)$ .

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Problem 53684

$x = 3(\sqrt[3]{15} + y)$ Solve for $y$ .

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Problem 53685

4. Dylan can invest $\$30$ each month compounded monthly for 50 years at an annual interest rate of 10%. Brynn can invest $\$400$ each year for 50 years compounded annually at an annual interest rate of 10%.
a) How much does each person invest each year? (Payment x frequency in one year) Dylan: Brynn:
b) How much will each person have at the end of the 50 years? Dylan: $PMT =$ $i =$ $n =$
Brynn: $PMT =$ $i =$ $n =$
c) Who will have the most money? By how much? What has caused this difference?

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Problem 53686

Random Variables and Distributions Normal distribution: Finding a probalility, baste
A certain test is designed to measure the satisfaction of an individual with his/her relationship. Suppose that the scores on this test are approxima distributed with a mean of 50 and a standard deviation of 8 . An individual with a score of 35 or less is considered dissatisfied with his/her relation to this criterion, what proportion of people in relationships are dissatisfied? Round your answer to at least four decimal places. $\square$

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Problem 53687

Solve the inequality for $z$ .
$z + 6 \le 12$

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Problem 53688

Consider the probability that no more than $98$ out of $125$ DVDs will malfunction. Assume the probability that a given DVD will malfunction is $2\%$ . Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions. Answer 2 Points Yes No Keypad Keyboard Shortcut

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Problem 53689

Find $f^{-1}(x)$ for $f(x)=-3 x+2$ and state whether or not it is a function. a. $f^{-1}(x)=-\frac{1}{3} x+\frac{2}{3} ;$ function c. $f^{-1}(x)=\frac{1}{3} x+\frac{2}{3}$ ; function b. $f^{-1}(x)=\frac{1}{3} x-\frac{2}{3} ;$ not a function d. $f^{-1}(x)=-\frac{1}{3} x-\frac{2}{3} ;$ function
Please select the best answer from the choices provided

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Problem 53690

If $(x+1)^{3}=-98$ , what is the value of $x$ ? A) $=6$ $-6+1>4$ B) $=5$ $5 \cdot 3 \cdot 3$ C) -8 4. D) -3

See Solution

Problem 53691

Solve the inequality for $x$ . $\frac{x}{4}>-9$

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Problem 53692

Section A: Factorizing with GCF
1. $12 x^{3}+18 x^{2}$
2. $8 y^{2}+20 y$
3. $24 a^{3} b-36 a^{2} b^{2}$
4. $15 x^{4}-10 x^{3}+5 x^{2}$
5. $9 p^{2} q+27 p q^{2}-18 p q$
6. $14 m^{4} n-21 m^{3} n^{2}+28 m^{2} n^{3}$
Section B: Factorizing by Grouping
7. $x^{3}+2 x^{2}+3 x+6$
8. $3 a^{2}-6 a+2 a b-4 b$
9. $2 x^{2}+5 x+4 x y+10 y$
10. $y^{3}-y^{2}+3 y-3$
11. $4 m^{2}+6 m n-3 n-2 m$
12. $6 x^{3}-9 x^{2}+4 x-6$

See Solution

Problem 53693

$y = -2x$ $y = \frac{1}{2}x$ $y = 2x$

See Solution

Problem 53694

Fill in the blank. The statement $x^2 - x - 56 = (x - 8)(x + 7)$ shows that the trinomial $x^2 - x - 56$ factors into the product of two ----Select---- Need Help? Read It

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Problem 53695

On January 1, 2019, Smith Company issued \$3 million of 5-year bonds at a 10% coupon interest rate to be paid annually. Calculate the issuance price if the market rate of interest was 8%. A) \$2,041,740. B) \$3,000,000. C) \$3,239,552. D) \$3,300,000.
Treasury stock is a corporation's own stock that was issued and then repurchased, and is still held by the corporation. A) True B) False
The issue of \$1 par value common stock for \$10 per share results in a \$9 credit to the Additional paid-in capital account for each share issued. A) True B) False
Total stockholders' equity of Grasse Company is not affected when a stockholder sells shares of Grasse Company stock to another stockholder. A) True B) False
Most investors who are retired people prefer to receive their return on investment in common stock in the form of stock price appreciation rather than in dividends. A) True B) False
Which of the following represents the number of shares currently owned by investors? A) Authorized shares. B) Issued shares. C) Outstanding shares. D) Treasury shares.
Treasury stock shares are shares of stock that are: A) Authorized and outstanding. B) Authorized but not issued. C) Authorized, issued, and outstanding. D) Authorized and issued, but not outstanding.
Component percentages are used to express items on financial statements as a percentage of a single base amount. A) True B) False
Both the gross profit percentage and the net profit margin use net sales revenue in the denominator. A) True B) False

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Problem 53696

EX Piecewise: A function is shown below. $f(x)=\left\{\begin{array}{ll} -x^{2}+2 x & \text { for } x \leq-3 \\ 2\left(\frac{1}{3}\right)^{2} & \text { for }-3<x<4 \\ \frac{2 x-5}{x-7} & \text { for } x \geq 4 \end{array}\right.$
Find $-3 f(-1)+3 f(10)$

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Problem 53697

Use a special-product rule to factor the perfect-square trinomial. $64y^2 + 112y + 49$ Need Help? Read It Watch It Submit Answer

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Problem 53698

Use a special-product rule to factor the perfect-square trinomial. $y^4 - 16y^2 + 64$ Need Help? Read It

See Solution

Problem 53699

Factor the trinomial. $50 + 15x^2 + x^4$ Need Help? Read It Watch It Submit Answer

See Solution

Problem 53700

23) Which of the following statements is incorrect? A) If selling and administrative expenses as a percentage of sales increases, then gross profit percentage will decrease. B) If the cost of goods sold percentage decreases and other expenses do not change, then net profit margin will increase as a percentage of sales. C) If sales dollars decrease, a company might still report a higher gross profit percentage if cost of goods sold decreases at a faster rate than the decrease in sales. D) It is possible that when selling and administrative expense in dollars decrease, selling and administrative expenses as a percentage of sales will increase. 24) Baron Company reported the following data: Cash \$80,000 Accounts receivable \$120,000 Marketable securities \$40,000 Inventory \$100,000 Prepaid rent expense \$10,000 Accounts payable \$70,000 Current portion of long-term debt \$140,000 Net credit sales \$1,000,000 Cost of goods sold \$600,000 The current ratio is closest to: A) 5.0 B) 4.92 C) 4.86 D) 1.67

See Solution

Math

Problem 53601

Find the linear function f(x)=0.25(10−x)+1 f(x) = 0.25(10-x) + 1 f(x)=0.25(10−x)+1.

Problem 53602

Select the values that make the inequality r<7r<7r<7 true. (Numbers written in order from least to greatest going across.)Answer Attempt iout of 2 \begin{tabular}{lll} -1 & 2 & 4 \\ 6 & 6.9 & 6.99 \\ 6.999 & 7 & 7.001 \\ 7.01 & 7.1 & 8 \\ 10 & 12 & 15 \end{tabular} Submit Answer

Problem 53603

Which of the following values are solutions to the inequality 1>5+4x?1>5+4 x ?1>5+4x? I. -1 II. 5 III. 2Answer None I only II only III only I and II I and III II and 7 I, II and III

Problem 53604

Problem 53605

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă MN=2MN = 2MN=2 cm și PQ=6PQ = 6PQ=6 cm atunci lungimea în centimetri a segmentului (XY)(XY)(XY) este egală cu:

Problem 53606

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă MN+PQ=22MN + PQ = 22MN+PQ=22 cm atunci lungimea în centimetri a segmentului XYXYXY este egală cu:

Problem 53607

Fie trapezul MNQPMNQPMNQP din figura de mai sus în care XYXYXY este linie mijlocie. Folosind datele de pe figură, xxx este egal cu:

Problem 53608

Problem 53609

15. Coin Value. A parking meter contains dimes and quarters worth $15.25\$15.25$15.25. There are 103103103 coins in all. How many of each type of coin are there?

Problem 53610

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă MN+PQ=22 cm atunci lungimea în centimetri a segmentului (XY) este egală cu:

Problem 53611

666 cm AAA BBB 888 cm 45∘45^\circ45∘ DDD MMM CCC Fie trapezul dreptunghic de mai sus în care BM⊥CDBM \perp CDBM⊥CD. Folosind datele din figură obținem: BM=BM = BM= ______ cm, DM=DM = DM= ______ cm, MC=MC = MC= ______ cm, DC=DC = DC= ______ cm.

Problem 53612

x+y≥−3x + y \ge -3x+y≥−3 −x+y≥−3-x + y \ge -3−x+y≥−3 Find all corner points. (If there are no corner points, enter NONE in each blank.) (x,y)=(0,−3)(x, y) = (0, -3)(x,y)=(0,−3)

Problem 53613

Problem 53614

Problem 53615

11) 12% of 53 12) 78% of 36 13) 90% of 56 14) 80% of 223 15) 45% of 390

Problem 53616

Multiply. Assume www and vvv are greater than or equal to zero, and write your answer in simplest form. 30w5⋅5v2\sqrt{30 w^{5}} \cdot \sqrt{5 v^{2}}30w5​⋅5v2​ □\square□ Submit

Problem 53617

6. Find the domain of f(x)f(x)f(x). f(x)=12−4xf(x)=\sqrt{12-4 x}f(x)=12−4x​

Problem 53618

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is 481348\sqrt{13}4813​ square units. What is the length, in units, of the other leg of this triangle?A 16 B 32 C 3133\sqrt{13}313​

Problem 53619

Simplify the given polynomial by combining like terms. 12x2−7x2−y12x2−7x2−y=\begin{array}{c} 12 x^{2}-7 x^{2}-y \\ 12 x^{2}-7 x^{2}-y= \end{array}12x2−7x2−y12x2−7x2−y=​

Problem 53620

Problem 53621

Problem 53622

(3) Decompose the numbers 481=270=518=709=\begin{array}{l} 481= \\ 270= \\ 518= \\ 709= \end{array}481=270=518=709=​

Problem 53623

Problem 53624

1. Simplify Using Exponent Rules1. x23∗x12x^{\frac{2}{3}} * x^{\frac{1}{2}}x32​∗x21​

Problem 53625

1. What is the product of (2x−1)(2x2−x+7)?(2 x-1)\left(2 x^{2}-x+7\right) ?(2x−1)(2x2−x+7)?

Problem 53626

Jennifer purchased a seven-year old car for $14,400\$ 14,400$14,400. When the car was new, it sold for $36,000\$ 36,000$36,000. Find the exponential rate of depreciation. Round to the nearest tenth of a percent. □\square□ \%

Problem 53627

3. (8−34)−89\left(8^{\frac{-3}{4}}\right)^{\frac{-8}{9}}(84−3​)9−8​

Problem 53628

Find the exact value of cos⁡G\cos{G}cosG in simplest radical form.cos⁡G=\cos{G} =cosG=Answer Attempt 1 out of 2 Submit Answer

Problem 53629

Найди площадь трапеции, изображённой на рисунке. TTT 3 RRR 150∘150^\circ150∘ 7 SSS 9 KKK Запиши ответ числом.

Problem 53630

Problem 53631

Problem 53632

MNKLMNKLMNKL — трапеция. QT=23QT = 23QT=23 см, NH=15NH = 15NH=15 см. Чему равна площадь MNKLMNKLMNKL?Запиши ответ числом. S = \text{____} \, \text{см}^2

Problem 53633

Use radicals.7. 243x4⋅13x54\sqrt[4]{243x} \cdot \sqrt[4]{\frac{1}{3x^5}}4243x​⋅43x51​​8. 74⋅73\sqrt[4]{7} \cdot \sqrt[3]{7}47​⋅37​

Problem 53634

Problem 53635

4. y=x3−3xy = x^3 - 3xy=x3−3x(In this case alone I'll suggest some choices for possible x-values.)x | y ---|--- -2 | -1 | 0 | 1 | 2 |

Problem 53636

The measure of ∠DCG\angle DCG∠DCG is 145∘145^\circ145∘.What is m∠DCEm\angle DCEm∠DCE?90∘90^\circ90∘ 100∘100^\circ100∘ 180∘180^\circ180∘ 190∘190^\circ190∘

Problem 53637

Consider the figure.MNMNMN is a straight line passing through point PPP and m∠QPR=52∘m\angle QPR = 52^\circm∠QPR=52∘, what is the measure of ∠MPR\angle MPR∠MPR?52∘52^\circ52∘ 64∘64^\circ64∘ 71∘71^\circ71∘ 116∘116^\circ116∘

Problem 53638

Problem 53639

2. For a normal distribution with a mean of μ=40\mu=40μ=40 and σ=4\sigma=4σ=4, what is the probability of selecting an individual with a score greater than 46 ? (a.) 0.0668

Problem 53640

Problem 53641

33. Use Structure In a basketball game, the Bulldogs make a total of 21 shots. Some of the shots are 2-point shots while others are 3-point shots. The Bulldogs score a total of 50 points. How many 2-point and 3-point shots did they make?

Problem 53642

Problem 53643

17. 4x−34=0\sqrt[4]{4x-3}=044x−3​=0

Problem 53644

Problem 53645

Problem 53646

Реши задачу. Дана прямоугольная трапеция MNKLMNKLMNKL с основаниями ML=260ML = 260ML=260 мм и NK=208NK = 208NK=208 мм. Найди её площадь, если ∠KLM=45∘\angle KLM = 45^\circ∠KLM=45∘. Вырази ответ в дм2^{2}2.

Problem 53647

Problem 53648

Find the linear function $f(x) = 0.25(10-x) + 1$ .

Select the values that make the inequality $r<7$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt iout of 2 \begin{tabular}{lll} -1 & 2 & 4 \\ 6 & 6.9 & 6.99 \\ 6.999 & 7 & 7.001 \\ 7.01 & 7.1 & 8 \\ 10 & 12 & 15 \end{tabular} Submit Answer

Which of the following values are solutions to the inequality $1>5+4 x ?$ I. -1 II. 5 III. 2
Answer None I only II only III only I and II I and III II and 7 I, II and III

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă $MN = 2$ cm și $PQ = 6$ cm atunci lungimea în centimetri a segmentului $(XY)$ este egală cu:

Fie trapezul MNPQ din figura de mai sus în care XY este linie mijlocie. Dacă $MN + PQ = 22$ cm atunci lungimea în centimetri a segmentului $XY$ este egală cu:

Fie trapezul $MNQP$ din figura de mai sus în care $XY$ este linie mijlocie. Folosind datele de pe figură, $x$ este egal cu:

15. Coin Value. A parking meter contains dimes and quarters worth $\$15.25$ . There are $103$ coins in all. How many of each type of coin are there?

$6$ cm $A$ $B$ $8$ cm $45^\circ$ $D$ $M$ $C$ Fie trapezul dreptunghic de mai sus în care $BM \perp CD$ . Folosind datele din figură obținem: $BM =$ cm, $DM =$ cm, $MC =$ cm, $DC =$ cm.

$x + y \ge -3$ $-x + y \ge -3$ Find all corner points. (If there are no corner points, enter NONE in each blank.) $(x, y) = (0, -3)$

Multiply. Assume $w$ and $v$ are greater than or equal to zero, and write your answer in simplest form. $\sqrt{30 w^{5}} \cdot \sqrt{5 v^{2}}$ $\square$ Submit

6. Find the domain of $f(x)$ . $f(x)=\sqrt{12-4 x}$

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is $48\sqrt{13}$ square units. What is the length, in units, of the other leg of this triangle?
A 16 B 32 C $3\sqrt{13}$

Simplify the given polynomial by combining like terms. $\begin{array}{c} 12 x^{2}-7 x^{2}-y \\ 12 x^{2}-7 x^{2}-y= \end{array}$

(3) Decompose the numbers $\begin{array}{l} 481= \\ 270= \\ 518= \\ 709= \end{array}$

1. Simplify Using Exponent Rules
1. $x^{\frac{2}{3}} * x^{\frac{1}{2}}$

1. What is the product of $(2 x-1)\left(2 x^{2}-x+7\right) ?$

Jennifer purchased a seven-year old car for $\$ 14,400$ . When the car was new, it sold for $\$ 36,000$ . Find the exponential rate of depreciation. Round to the nearest tenth of a percent. $\square$ \%

3. $\left(8^{\frac{-3}{4}}\right)^{\frac{-8}{9}}$

Find the exact value of $\cos{G}$ in simplest radical form.
$\cos{G} =$
Answer Attempt 1 out of 2 Submit Answer

Найди площадь трапеции, изображённой на рисунке. $T$ 3 $R$ $150^\circ$ 7 $S$ 9 $K$ Запиши ответ числом.

$MNKL$ — трапеция. $QT = 23$ см, $NH = 15$ см. Чему равна площадь $MNKL$ ?
Запиши ответ числом. S = \text{____} \, \text{см}^2

Use radicals.
7. $\sqrt[4]{243x} \cdot \sqrt[4]{\frac{1}{3x^5}}$
8. $\sqrt[4]{7} \cdot \sqrt[3]{7}$

4. $y = x^3 - 3x$
(In this case alone I'll suggest some choices for possible x-values.)
x | y ---|--- -2 | -1 | 0 | 1 | 2 |

The measure of $\angle DCG$ is $145^\circ$ .
What is $m\angle DCE$ ?
$90^\circ$ $100^\circ$ $180^\circ$ $190^\circ$

Consider the figure.
$MN$ is a straight line passing through point $P$ and $m\angle QPR = 52^\circ$ , what is the measure of $\angle MPR$ ?
$52^\circ$ $64^\circ$ $71^\circ$ $116^\circ$

2. For a normal distribution with a mean of $\mu=40$ and $\sigma=4$ , what is the probability of selecting an individual with a score greater than 46 ? (a.) 0.0668

17. $\sqrt[4]{4x-3}=0$

Реши задачу. Дана прямоугольная трапеция $MNKL$ с основаниями $ML = 260$ мм и $NK = 208$ мм. Найди её площадь, если $\angle KLM = 45^\circ$ . Вырази ответ в дм $^{2}$ .

$4 y+12=3 x$

Marked out of 3.0 The integral $\int \frac{1}{2 x} d x$ :Select on . $\frac{1}{2} \ln |x|+$
$\text { . } \ln |2 x|+$ .non of these answer
$.2 \ln |2 x|+$

5. In the following rational cquations, state the restrictions on the variable and use cross-multiplication to solve the equation. a) $\frac{x^{2}+2}{x}=3$ b) $\frac{x^{2}-9}{x+3}=4$

$\frac{\cos x-\sin x}{\cos x+\sin x}=\sec 2 x-\tan 2 x$

Which of the following values are solutions to the inequality $7 \leq 3 x-2$ ? I. 3 II. -3 III. -2
Answer None I only Submit Answer II only III only I and II I and III II and III I, II and III

Which of the following values are solutions to the inequality $-4-3 x<-8 ?$ I. 8 II. 2 III. 9
Answer None I only Submit Answer II only III only I and II I and III II and III I, II and III

In the diagram of $\triangle$ ABC below, $\overline{AB} \cong \overline{AC}$ . The measure of $\angle B$ is $40^\circ$ .
Find the measure of $< A$ .

Evaluate the expression when $x = 6$ .
$x^2 - 5x - 1$

Solve for x and find angle D. $x^{\circ}$ x = Angle D =

Evaluate the function $f(x) = 5x^2 + 2x$ for the given values of $x$ .
(a) $f(-2)$ (b) $f(-1)$ (c) $f(0)$ (d) $f(1)$ (e) $f(2)$

4 Mark for Review
The point with coordinates $(d, 4)$ lies on the line shown. What is the value of $d$ ? (A) $\frac{7}{2}$ (B) $\frac{26}{7}$ (C) $\frac{24}{7}$ (D) $\frac{27}{8}$

Use the graph of the function $f(x)$ shown below in order to determine all values of $a$ for which $\lim_{x \to a} f(x) = -3$ on the interval $-9 < x < 9$ .
Answer Attempt 2 out of 2
Additional Solution No Solution
$a =$

Points: 0 of 1 Save
Use graphs to find the set. $(-1,4) \cap[0,5]$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set is $\square$ . (Type your answer in interval notation.) B. The set is the empty set.

If $n$ is the least of two consecutive odd integers, which of the fowlowing represents the product of the two integers?

Simplify. $(-6ba^2)^2$ Write your answer without parentheses

b) $\frac{2}{15} + \frac{11}{15} + \frac{8}{15}$

Complete the truth table for the statement $S \wedge \sim$ . \begin{tabular}{cc||c} $\mathbf{S}$ & $\mathbf{P}$ & $\mathbf{S \wedge \sim P}$ \\ \hline T & T & ?v \\ T & F & ?v \\ F & T & ?v \\ F & F & ?v \end{tabular}
Check Answer

Which of the following is equivalient to $-3(x-4)(x-9)$ ?

Graph of the function $f$ is shown in the figure below. main and range of $f$ as intervals or unions of intervals.

Solve the equation. $x - 13 = -22$