Math

Problem 39801

Find the domain of $\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}$ given $s(x)=\frac{x-3}{x^{2}-36}$ and $v(x)=\sqrt{x+6}$ .

See Solution

Problem 39802

Solve for $x$ : $0.68 x - 0.96 = 5.86 - 2.42 x$

See Solution

Problem 39803

Brianna has \$50. She buys a sweatshirt for \$22.50 and a tote bag for \$15.75. How much is left? (A) \$11.25 (B) \$11.50 (C) \$11.75 (D) \$13.25

See Solution

Problem 39804

Which phrase describes $4 \times 3 - 1$ ? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

See Solution

Problem 39805

Solve the compound inequality: $x-2 \leq 3$ and $x+1 \geq 4$ . Provide the solution set as an interval and a graph.

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Problem 39806

A dragster accelerated from 0 to $60 \mathrm{~m/s}$ in $8.0$ seconds. What was its acceleration?

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Problem 39807

Identify the true statement among these:
1. $\frac{11}{15}<\frac{4}{5}$
2. $\frac{5}{6}>\frac{10}{12}$
3. $\frac{8}{16}=\frac{1}{4}$
4. $\frac{3}{4}<\frac{4}{6}$

See Solution

Problem 39808

A family of 8 rides together. Which ticket total is NOT possible: (A) 42 (B) 40 (C) 24 (D) 16?

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Problem 39809

Find the intersection of sets $C$ and $A$ : $C \cap A$ where $C=\{3,4,5,6,\ldots\}$ and $A=\{9,12,15,18,\ldots\}$ .

See Solution

Problem 39810

Which option shows the prime factorization of 200 in exponential form? $8 \cdot 25$ $2^{3} \cdot 5^{2}$ $2^{2} \cdot 5^{2}$ $2 \cdot 10^{2}$

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Problem 39811

Find $f(x+h)$ for $f(x)=x^{2}+8x$ and simplify. Then, simplify $\frac{f(x+h)-f(x)}{h}$ .

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Problem 39812

Multiply and simplify: $2 \frac{2}{3} \cdot 3 \frac{1}{4}$ . Write the answer as a mixed number.

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Problem 39813

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

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Problem 39814

Solve the compound inequality $x+1>5$ or $-4x+1 \geq 5$ and express the solution in interval and graph form.

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Problem 39815

Which is NOT a reasonable estimate for $673 \times 18$ ? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

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Problem 39816

If you sleep 6 hours daily for a year, how many days do you sleep? Express your answer as a mixed number.

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Problem 39817

Solve the inequality and express the solution set in interval notation: $|2x + 1| + 3 > 8$ .

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Problem 39818

Rosa has $3 \frac{3}{4}$ pounds of dough. If one loaf uses $\frac{3}{4}$ pound, how many loaves can she make?

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Problem 39819

Find the value of $\pm \sqrt{289}$ .

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Problem 39820

Solve for $x$ in the equation: $6x - 8 = 10x + 16$ .

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Problem 39821

Peter mixes $4 \frac{1}{3}$ cups of orange juice, $2 \frac{1}{3}$ cups of ginger ale, and $6 \frac{1}{2}$ cups of lemonade. Find the total cups of punch.

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Problem 39822

Find the difference quotient for $f(x)=-8 x^{2}-3 x+5$ and simplify it.

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Problem 39823

8. SALARY Estimate the total cost to employ an engineer ( $55,000) and a programmer ($ 52,000) for 5 years.
9. COSTUMES Each butterfly costume needs $3 \frac{3}{5}$ yards of fabric. Find total yards for 10 costumes using the Distributive Property.
10. REASONING Letisha deposits: Checking \$125, Savings \$75, College \$50; Noelle: Checking \$250, Savings \$50, College \$50. Find Letisha's total after 12 months.

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Problem 39824

Which statements about 4.8 and 0.048 are true? (A) 4.8 is 100 times 0.048, (B) 0.048 is $\frac{1}{100}$ of 4.8, (C) 4.8 is 10 times 0.048, (D) 0.048 is $\frac{1}{10}$ of 4.8, (E) 0.048 is 100 times 4.8.

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Problem 39825

Subtract and express as a mixed number: $8 \frac{2}{5} - 3 \frac{4}{5}$ .

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Problem 39826

Find the difference quotient of $f(x)=\frac{1}{x+2}$ and simplify.

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Problem 39827

Find the values of $x$ for the angles $7x+7$ and $2x+47$ that are equal because they are vertical angles.

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Problem 39828

What score does John need on his third history test to average at least $89$ with grades of $86$ and $93$ ?

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Problem 39829

Calculate the total: 1 ten dollar bill + 3 one dollar bills + 5 nickels + 10 pennies = $$.

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Problem 39830

The place value of the 8 in $6.857$ is what? Options: tenths, tens, ones, hundredths.

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Problem 39831

Fill in the perfect cubes for $x = 1$ to $10$ : What is $x^3$ for each $x$ ?

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Problem 39832

Select expressions that equal 650.509: (A) 650 + 0.509, (B) 650 + 0.50 + 0.009, (C) 600 + 50 + 0.5 + 0.009, (D) 6500 + 0.5 + 0.009, (E) 650 + 5.0 + 9.

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Problem 39833

Solve the inequality and express the solution in interval and graph forms: $4(10 r-7)-5 r<35 r+10$ .

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Problem 39834

Identify the value that is not equal to 0.775 or $\frac{3}{8}$ : $\frac{31}{40}$ , 0.375, $\frac{6}{16}$ , 0.83.

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Problem 39835

Evaluate $(g \circ f)(2)$ for $f(x)=x^{3}+7x$ and $g(x)=\sqrt{5x}$ .

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Problem 39836

Solve for $p$ : $-8 p - 5(4 - 3 p) = 4(p - 4) - 13$ . Check your solution.

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Problem 39837

Calculate the slope of the line through the points $(-3,5)$ and $(4,9)$ .

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Problem 39838

Let $\mathrm{x}$ be the unknown. Write and solve the equation: $\mathrm{x} + 5 = -30$ .

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Problem 39839

Evaluate $(f \circ f)(2)$ for $f(x)=x^{3}-4x$ . What is the exact value?

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Problem 39840

Determine if these statements are true or false: 1) $3.0623 > 3.1$ 2) $561.762 > 561.726$ 3) $2.26 < 2.23$ 4) $0.5470 > 0.547$ 5) $5.01 < 5.10$

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Problem 39841

Solve and graph the inequality: $-(-4+x)+1-4x<-20$ .

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Problem 39842

Thaddeus needs \$180 for a camp. He earned \$58.35 raking leaves and \$82.80 shoveling snow. How much more does he need?

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Problem 39843

Find the cube roots of: -27, 343, 64, -512, 1000, -1, -8, and 1728.

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Problem 39844

Divide: $325.65 \div 0.65$ . Options: 501, 325, 50.1, 5.01.

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Problem 39845

Calculate the slope of the line through the points $(-2,-5)$ and $(-1,3)$ .

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Problem 39846

Divide 135.42 by 1,000. Options: 135,420; 0.13542; 0.00013542; 0.013542.

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Problem 39847

How many $12.5 \mathrm{mg}$ tablets of Benadryl are taken in a week if the dose is $25 \mathrm{mg}$ every 6 hours?

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Problem 39848

Find the consecutive integers for the cube roots: $\sqrt[3]{21}$ , $\sqrt[3]{-89}$ , $\sqrt[3]{150}$ .

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Problem 39849

Evaluate $(g \circ f)(2)$ where $f(x)=x^{3}-7x$ and $g(x)=\sqrt{5x}$ .

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Problem 39850

Calculate: $7 \times 1 \frac{1}{4}=$

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Problem 39851

Find $x$ so that the slope between $(x, 3)$ and $(5, 9)$ equals a given value.

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Problem 39852

Evaluate the following radicals:
26. $\sqrt{16+33}$
27. $\sqrt[3]{200-75}$
28. $\sqrt[3]{-24(9)}$
29. $2 \sqrt[3]{343}$
30. $\sqrt[3]{20+44}-\sqrt{36}$
31. $\sqrt{400}-2 \sqrt{324}$
32. $\sqrt{81}-2 \sqrt[3]{-8}$
33. $5 \sqrt{98 \div 2}+4 \sqrt{25}$
34. $3(\sqrt[3]{-27}-\sqrt[3]{125})$

See Solution

Problem 39853

Calculate $\frac{132 \lim _{\text {miles }}}{80 \frac{45}{8}}$ .

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Problem 39854

Find $x$ so that the line through $(x, 3)$ and $(5, 9)$ has a horizontal slope.

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Problem 39855

Find $x$ for the line through $(x, 3)$ and $(5, 9)$ with slope 2.

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Problem 39856

Rewrite and simplify using the Distributive Property:
23. $2(x+4)$ , 24. $(5+n) 3$ , 25. $(4-3 m) 8$ , 26. $-3(2 x-6)$ , 27. $(2-4 n) 17$ , 28. $11(4 d+6)$ , 29. $\left(\frac{1}{3}-2 b\right) 27$ , 30. $4(8 p+16 q-7 r)$ , 31. $6\left(2 c-c d^{2}+d\right)$ , 32. $7(h-10)$ , 33. $3(m+n)$ , 34. $2(x-y+1)$ , 35. $\left(\frac{1}{2}+6 a\right) 14$ , 36. $-2(7 m-8 n-5 p)$ , 37. $(0.3-6 x) 9$ , 38. $-4\left(4 a+2 b-\frac{1}{2} c\right)$ .

See Solution

Problem 39857

Find the domain of $f(x) = -5 + 5$ . Provide your answer in interval notation.

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Problem 39858

Calculate $1 \frac{2}{3} \times 2 \frac{1}{4}$ .

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Problem 39859

Find $(k \circ m)(x)$ and $(m \circ k)(x)$ for $k(x)=9x-5$ and $m(x)=x^2$ . Are they equal?

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Problem 39860

Find the value of $? \text{ miles}$ in the equation $\frac{1 \text{ inch}}{80 \text{ miles}}=\frac{4 \frac{5}{8}}{? \text{ miles}}$ .

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Problem 39861

Rewrite each expression using the Distributive Property and simplify:
23. $2(x+4)$
24. $(5+n) 3$
25. $(4-3 m) 8$
26. $-3(2 x-6)$
27. $(2-4 n) 17$
28. $11(4 d+6)$
29. $\left(\frac{1}{3}-2 b\right) 27$
30. $4(8 p+16 q-7 r)$
31. $6\left(2 c-c d^{2}+d\right)$
32. $7(h-10)$
33. $3(m+n)$
34. $2(x-y+1)$
35. $\left(\frac{1}{2}+6 a\right) 14$
36. $-2(7 m-8 n-5 p)$
37. $(0.3-6 x) 9$
38. $-4\left(4 a+2 b-\frac{1}{2} c\right)$

See Solution

Problem 39862

What is the symbol for the empty set and its cardinality?

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Problem 39863

Are sets $A$ (months of the year) and $B$ (first 12 letters of the alphabet) equal, equivalent, or neither?

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Problem 39864

Find $(k \circ m)(x)$ and $(m \circ k)(x)$ for $k(x)=9x-5$ and $m(x)=x^2$ . Are they equal?

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Problem 39865

Calculate: $3 \frac{1}{8} \times 18 =$

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Problem 39866

Find the simplified fraction of the function $(m \circ n)(x)$ where $m(x)=\sqrt{x+9}$ and $n(x)=x+6$ .

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Problem 39867

Find $(m \circ n)(x)$ for $m(x)=\sqrt{x+9}$ and $n(x)=x+6$ , then determine its domain in interval notation.

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Problem 39868

Evaluate $(q \circ p)(x)$ for $p(x)=x^{2}-9x$ and $q(x)=\frac{1}{x-10}$ . What is the domain?

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Problem 39869

Find how many inches are in 150 miles using the ratio $\frac{1 \text { inch }}{25 \text { miles }}$ .

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Problem 39870

Evaluate $(q \circ p)(x)$ for $p(x)=x^{2}-9 x$ and $q(x)=\frac{1}{x-10}$ . Find its domain in interval notation.

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Problem 39871

Evaluate $(q \circ r)(x)$ for $q(x)=\frac{1}{x-10}$ and $r(x)=|4x-5|$ . What is the domain?

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Problem 39872

Find the weekly profit function $P(x)$ for "Banjos Rock" T-shirts given demand $q=-50x+7200$ and cost $C(x)=-1800x+340200$ .

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Problem 39873

Inches per 25 miles equals inches per 12.5 miles: $\frac{\text { inches }}{25 \text{ miles}}=\frac{\text { inches }}{12.5 \text{ miles }}$ .

See Solution

Problem 39874

Inches to mils ratio: $\frac{\text{Inches}}{25 \text{ mils}} = \frac{\text{Inches}}{12.5 \text{ miles}}$

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Problem 39875

Find $(q \circ r)(x)$ for $q(x)=\frac{1}{x-10}$ and $r(x)=|4x-5|$ . What is the domain in interval notation?

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Problem 39876

Find $f(x)$ for $x=-1,4$ and determine the domain of $f$ , where $f(x)=x^{3}$ .

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Problem 39877

Find the unknown inches in the proportion $\frac{1 \text{ inch}}{25 \text{ miles}}=\frac{\text{inches}}{62.5 \text{ miles}}$ .

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Problem 39878

Find the height of a tree stump modeled as a cylinder with radius 37 in and volume 77415 in³. Round to the nearest tenth.

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Problem 39879

Find the value of inches in the equation: $\frac{1 \text { inch }}{25 \text { miles }}=\frac{x \text { inches }}{12.5 \text { miles }}$ .

See Solution

Problem 39880

Find the height of a tree stump modeled as a cylinder with radius 37 in and volume 77415 in³. Round to the nearest tenth.

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Problem 39881

Find $f(x)$ for $x=-1,4$ and determine the domain of $f$ given $f(x)=x^{3}$ .

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Problem 39882

Find $(f \circ g)(x)$ and its domain for $f(x)=\frac{5}{x^{2}+36}$ and $g(x)=\sqrt{4+x}$ .

See Solution

Problem 39883

Find the height of a water tank (rectangular prism) with volume 136 ft³, length 8.1 ft, width 4.1 ft.

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Problem 39884

Calculate the volume range for birdhouses using $Volume = Length \times Width \times Height$ for given dimensions.

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Problem 39885

Find $f(x)$ for $x=-1$ and $x=4$ if $f(x)=x^{3}$ . Also, determine the domain of $f$ .

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Problem 39886

Muestra la suma de 75 y -44: $75 + (-44)$ .

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Problem 39887

Find the volume of aluminum in a hollow post shaped like a prism with dimensions $11 \mathrm{~cm} \times 10 \mathrm{~cm} \times 30 \mathrm{~cm}$ and $1.75 \mathrm{~cm}$ thick. Round to the nearest hundredth.

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Problem 39888

Find the domain of the composite function $(f \circ g)(x) = \frac{5}{40+x}$ in interval notation, given $f(x)=\frac{5}{x^{2}+36}$ and $g(x)=\sqrt{4+x}$ .

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Problem 39889

Find $x$ for the line through $(-8,-2)$ and $(x, 2)$ with a slope of $3$ .

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Problem 39890

Autumn spends \ $34.14 total, \$5.76 on eggs, and buys 6 identical bags of apples. Find$ x$, the cost per bag of apples.

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Problem 39891

Calcula $-26 - (-51) =$

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Problem 39892

Find the volume of a wooden post (dimensions $8 \mathrm{~cm} \times 5 \mathrm{~cm} \times 22 \mathrm{~cm}$ ) after drilling a hole (diameter $4 \mathrm{~cm}$ ). Round to the nearest tenth.

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Problem 39893

Bentley rides 39.6 miles total, has done 8 miles, and rides for 4 more days. Find $x$ for daily miles needed: $8 + 4x = 39.6$ .

See Solution

Problem 39894

Explain how to find $f(g(x))$ from $f(x)$ and $g(x)$ , and determine its domain in interval notation.

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Problem 39895

Given the function $g(x)=1-x^2$ , find the domain, range, and evaluate $g(-1)$ and $g(2)$ . Describe the graph.

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Problem 39896

The histogram shows test scores of 30 students. Answer these questions:
1. Count students in $91-100$ .
2. Count students in $61-70$ .
3. What percent scored $91-100$ ?

See Solution

Problem 39897

Given $g(x)=1-x^2$ :
(a) Determine the domain and range.
(b) Calculate $g(-1)$ and $g(2)$ .
(c) Use the graph to find $g(-1)$ and $g(2)$ .

See Solution

Problem 39898

Determine the point-slope form equation of the line through $(1,4)$ with a slope of $2$ .

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Problem 39899

Find the product of $s(x) = \frac{x-3}{x^{2}-36}$ and $t(x) = \frac{x-6}{3-x}$ . Calculate $(s \cdot t)(x)$ .

See Solution

Problem 39900

Solve the equation: $3(-4x - 3) + 5x - 5 = 0$ .

See Solution

1 ...396 397 398 399 400 401 402 ...662

Math

Problem 39801

Find the domain of (vs)(x)=x2x+6−36x+6x−3\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}(sv​)(x)=x−3x2x+6​−36x+6​​ given s(x)=x−3x2−36s(x)=\frac{x-3}{x^{2}-36}s(x)=x2−36x−3​ and v(x)=x+6v(x)=\sqrt{x+6}v(x)=x+6​.

Problem 39802

Solve for xxx: 0.68x−0.96=5.86−2.42x0.68 x - 0.96 = 5.86 - 2.42 x0.68x−0.96=5.86−2.42x

Problem 39803

Brianna has \$50. She buys a sweatshirt for \$22.50 and a tote bag for \$15.75. How much is left? (A) \$11.25 (B) \$11.50 (C) \$11.75 (D) \$13.25

Problem 39804

Which phrase describes 4×3−14 \times 3 - 14×3−1? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

Problem 39805

Solve the compound inequality: x−2≤3x-2 \leq 3x−2≤3 and x+1≥4x+1 \geq 4x+1≥4. Provide the solution set as an interval and a graph.

Problem 39806

A dragster accelerated from 0 to 60 m/s60 \mathrm{~m/s}60 m/s in 8.08.08.0 seconds. What was its acceleration?

Problem 39807

Identify the true statement among these: 1. 1115<45\frac{11}{15}<\frac{4}{5}1511​<54​2. 56>1012\frac{5}{6}>\frac{10}{12}65​>1210​3. 816=14\frac{8}{16}=\frac{1}{4}168​=41​4. 34<46\frac{3}{4}<\frac{4}{6}43​<64​

Problem 39808

A family of 8 rides together. Which ticket total is NOT possible: (A) 42 (B) 40 (C) 24 (D) 16?

Problem 39809

Find the intersection of sets CCC and AAA: C∩AC \cap AC∩A where C={3,4,5,6,…}C=\{3,4,5,6,\ldots\}C={3,4,5,6,…} and A={9,12,15,18,…}A=\{9,12,15,18,\ldots\}A={9,12,15,18,…}.

Problem 39810

Which option shows the prime factorization of 200 in exponential form? 8⋅258 \cdot 258⋅25 23⋅522^{3} \cdot 5^{2}23⋅52 22⋅522^{2} \cdot 5^{2}22⋅52 2⋅1022 \cdot 10^{2}2⋅102

Problem 39811

Find f(x+h)f(x+h)f(x+h) for f(x)=x2+8xf(x)=x^{2}+8xf(x)=x2+8x and simplify. Then, simplify f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​.

Problem 39812

Multiply and simplify: 223⋅3142 \frac{2}{3} \cdot 3 \frac{1}{4}232​⋅341​. Write the answer as a mixed number.

Problem 39813

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

Problem 39814

Solve the compound inequality x+1>5x+1>5x+1>5 or −4x+1≥5-4x+1 \geq 5−4x+1≥5 and express the solution in interval and graph form.

Problem 39815

Which is NOT a reasonable estimate for 673×18673 \times 18673×18? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

Problem 39816

If you sleep 6 hours daily for a year, how many days do you sleep? Express your answer as a mixed number.

Problem 39817

Solve the inequality and express the solution set in interval notation: ∣2x+1∣+3>8|2x + 1| + 3 > 8∣2x+1∣+3>8.

Problem 39818

Rosa has 3343 \frac{3}{4}343​ pounds of dough. If one loaf uses 34\frac{3}{4}43​ pound, how many loaves can she make?

Problem 39819

Find the value of ±289\pm \sqrt{289}±289​.

Problem 39820

Solve for xxx in the equation: 6x−8=10x+166x - 8 = 10x + 166x−8=10x+16.

Problem 39821

Peter mixes 4134 \frac{1}{3}431​ cups of orange juice, 2132 \frac{1}{3}231​ cups of ginger ale, and 6126 \frac{1}{2}621​ cups of lemonade. Find the total cups of punch.

Problem 39822

Find the difference quotient for f(x)=−8x2−3x+5f(x)=-8 x^{2}-3 x+5f(x)=−8x2−3x+5 and simplify it.

Problem 39823

Problem 39824

Which statements about 4.8 and 0.048 are true? (A) 4.8 is 100 times 0.048, (B) 0.048 is 1100\frac{1}{100}1001​ of 4.8, (C) 4.8 is 10 times 0.048, (D) 0.048 is 110\frac{1}{10}101​ of 4.8, (E) 0.048 is 100 times 4.8.

Problem 39825

Subtract and express as a mixed number: 825−3458 \frac{2}{5} - 3 \frac{4}{5}852​−354​.

Problem 39826

Find the difference quotient of f(x)=1x+2f(x)=\frac{1}{x+2}f(x)=x+21​ and simplify.

Problem 39827

Find the values of xxx for the angles 7x+77x+77x+7 and 2x+472x+472x+47 that are equal because they are vertical angles.

Problem 39828

What score does John need on his third history test to average at least 898989 with grades of 868686 and 939393?

Problem 39829

Calculate the total: 1 ten dollar bill + 3 one dollar bills + 5 nickels + 10 pennies = $$.

Problem 39830

The place value of the 8 in 6.8576.8576.857 is what? Options: tenths, tens, ones, hundredths.

Problem 39831

Fill in the perfect cubes for x=1x = 1x=1 to 101010: What is x3x^3x3 for each xxx?

Problem 39832

Select expressions that equal 650.509: (A) 650 + 0.509, (B) 650 + 0.50 + 0.009, (C) 600 + 50 + 0.5 + 0.009, (D) 6500 + 0.5 + 0.009, (E) 650 + 5.0 + 9.

Problem 39833

Solve the inequality and express the solution in interval and graph forms: 4(10r−7)−5r<35r+104(10 r-7)-5 r<35 r+104(10r−7)−5r<35r+10.

Problem 39834

Identify the value that is not equal to 0.775 or 38\frac{3}{8}83​: 3140\frac{31}{40}4031​, 0.375, 616\frac{6}{16}166​, 0.83.

Problem 39835

Evaluate (g∘f)(2)(g \circ f)(2)(g∘f)(2) for f(x)=x3+7xf(x)=x^{3}+7xf(x)=x3+7x and g(x)=5xg(x)=\sqrt{5x}g(x)=5x​.

Problem 39836

Solve for ppp: −8p−5(4−3p)=4(p−4)−13-8 p - 5(4 - 3 p) = 4(p - 4) - 13−8p−5(4−3p)=4(p−4)−13. Check your solution.

Problem 39837

Calculate the slope of the line through the points (−3,5)(-3,5)(−3,5) and (4,9)(4,9)(4,9).

Problem 39838

Let x\mathrm{x}x be the unknown. Write and solve the equation: x+5=−30\mathrm{x} + 5 = -30x+5=−30.

Problem 39839

Evaluate (f∘f)(2)(f \circ f)(2)(f∘f)(2) for f(x)=x3−4xf(x)=x^{3}-4xf(x)=x3−4x. What is the exact value?

Problem 39840

Determine if these statements are true or false: 1) 3.0623>3.13.0623 > 3.13.0623>3.1 2) 561.762>561.726561.762 > 561.726561.762>561.726 3) 2.26<2.232.26 < 2.232.26<2.23 4) 0.5470>0.5470.5470 > 0.5470.5470>0.547 5) 5.01<5.105.01 < 5.105.01<5.10

Find the domain of $\left(\frac{v}{s}\right)(x)=\frac{x^{2} \sqrt{x+6}-36 \sqrt{x+6}}{x-3}$ given $s(x)=\frac{x-3}{x^{2}-36}$ and $v(x)=\sqrt{x+6}$ .

Solve for $x$ : $0.68 x - 0.96 = 5.86 - 2.42 x$

Which phrase describes $4 \times 3 - 1$ ? (A) One minus the product of four and three (B) One less than the product of four and three (C) One less than the sum of four and three (D) Four times the difference of three and one

Solve the compound inequality: $x-2 \leq 3$ and $x+1 \geq 4$ . Provide the solution set as an interval and a graph.

A dragster accelerated from 0 to $60 \mathrm{~m/s}$ in $8.0$ seconds. What was its acceleration?

Identify the true statement among these:
1. $\frac{11}{15}<\frac{4}{5}$
2. $\frac{5}{6}>\frac{10}{12}$
3. $\frac{8}{16}=\frac{1}{4}$
4. $\frac{3}{4}<\frac{4}{6}$

Find the intersection of sets $C$ and $A$ : $C \cap A$ where $C=\{3,4,5,6,\ldots\}$ and $A=\{9,12,15,18,\ldots\}$ .

Which option shows the prime factorization of 200 in exponential form? $8 \cdot 25$ $2^{3} \cdot 5^{2}$ $2^{2} \cdot 5^{2}$ $2 \cdot 10^{2}$

Find $f(x+h)$ for $f(x)=x^{2}+8x$ and simplify. Then, simplify $\frac{f(x+h)-f(x)}{h}$ .

Multiply and simplify: $2 \frac{2}{3} \cdot 3 \frac{1}{4}$ . Write the answer as a mixed number.

Solve the compound inequality $x+1>5$ or $-4x+1 \geq 5$ and express the solution in interval and graph form.

Which is NOT a reasonable estimate for $673 \times 18$ ? (A) 14,000 (B) 13,500 (C) 13,000 (D) 10,000

Solve the inequality and express the solution set in interval notation: $|2x + 1| + 3 > 8$ .

Rosa has $3 \frac{3}{4}$ pounds of dough. If one loaf uses $\frac{3}{4}$ pound, how many loaves can she make?

Find the value of $\pm \sqrt{289}$ .

Solve for $x$ in the equation: $6x - 8 = 10x + 16$ .

Peter mixes $4 \frac{1}{3}$ cups of orange juice, $2 \frac{1}{3}$ cups of ginger ale, and $6 \frac{1}{2}$ cups of lemonade. Find the total cups of punch.

Find the difference quotient for $f(x)=-8 x^{2}-3 x+5$ and simplify it.

Which statements about 4.8 and 0.048 are true? (A) 4.8 is 100 times 0.048, (B) 0.048 is $\frac{1}{100}$ of 4.8, (C) 4.8 is 10 times 0.048, (D) 0.048 is $\frac{1}{10}$ of 4.8, (E) 0.048 is 100 times 4.8.

Subtract and express as a mixed number: $8 \frac{2}{5} - 3 \frac{4}{5}$ .

Find the difference quotient of $f(x)=\frac{1}{x+2}$ and simplify.

Find the values of $x$ for the angles $7x+7$ and $2x+47$ that are equal because they are vertical angles.

What score does John need on his third history test to average at least $89$ with grades of $86$ and $93$ ?

The place value of the 8 in $6.857$ is what? Options: tenths, tens, ones, hundredths.

Fill in the perfect cubes for $x = 1$ to $10$ : What is $x^3$ for each $x$ ?

Solve the inequality and express the solution in interval and graph forms: $4(10 r-7)-5 r<35 r+10$ .

Identify the value that is not equal to 0.775 or $\frac{3}{8}$ : $\frac{31}{40}$ , 0.375, $\frac{6}{16}$ , 0.83.

Evaluate $(g \circ f)(2)$ for $f(x)=x^{3}+7x$ and $g(x)=\sqrt{5x}$ .

Solve for $p$ : $-8 p - 5(4 - 3 p) = 4(p - 4) - 13$ . Check your solution.

Calculate the slope of the line through the points $(-3,5)$ and $(4,9)$ .

Let $\mathrm{x}$ be the unknown. Write and solve the equation: $\mathrm{x} + 5 = -30$ .

Evaluate $(f \circ f)(2)$ for $f(x)=x^{3}-4x$ . What is the exact value?

Determine if these statements are true or false: 1) $3.0623 > 3.1$ 2) $561.762 > 561.726$ 3) $2.26 < 2.23$ 4) $0.5470 > 0.547$ 5) $5.01 < 5.10$

Solve and graph the inequality: $-(-4+x)+1-4x<-20$ .

Divide: $325.65 \div 0.65$ . Options: 501, 325, 50.1, 5.01.

Calculate the slope of the line through the points $(-2,-5)$ and $(-1,3)$ .

How many $12.5 \mathrm{mg}$ tablets of Benadryl are taken in a week if the dose is $25 \mathrm{mg}$ every 6 hours?

Find the consecutive integers for the cube roots: $\sqrt[3]{21}$ , $\sqrt[3]{-89}$ , $\sqrt[3]{150}$ .

Evaluate $(g \circ f)(2)$ where $f(x)=x^{3}-7x$ and $g(x)=\sqrt{5x}$ .

Calculate: $7 \times 1 \frac{1}{4}=$

Find $x$ so that the slope between $(x, 3)$ and $(5, 9)$ equals a given value.

Calculate $\frac{132 \lim _{\text {miles }}}{80 \frac{45}{8}}$ .

Find $x$ so that the line through $(x, 3)$ and $(5, 9)$ has a horizontal slope.

Find $x$ for the line through $(x, 3)$ and $(5, 9)$ with slope 2.

Find the domain of $f(x) = -5 + 5$ . Provide your answer in interval notation.

Calculate $1 \frac{2}{3} \times 2 \frac{1}{4}$ .

Find $(k \circ m)(x)$ and $(m \circ k)(x)$ for $k(x)=9x-5$ and $m(x)=x^2$ . Are they equal?

Find the value of $? \text{ miles}$ in the equation $\frac{1 \text{ inch}}{80 \text{ miles}}=\frac{4 \frac{5}{8}}{? \text{ miles}}$ .

Are sets $A$ (months of the year) and $B$ (first 12 letters of the alphabet) equal, equivalent, or neither?

Find $(k \circ m)(x)$ and $(m \circ k)(x)$ for $k(x)=9x-5$ and $m(x)=x^2$ . Are they equal?

Calculate: $3 \frac{1}{8} \times 18 =$

Find the simplified fraction of the function $(m \circ n)(x)$ where $m(x)=\sqrt{x+9}$ and $n(x)=x+6$ .

Find $(m \circ n)(x)$ for $m(x)=\sqrt{x+9}$ and $n(x)=x+6$ , then determine its domain in interval notation.

Evaluate $(q \circ p)(x)$ for $p(x)=x^{2}-9x$ and $q(x)=\frac{1}{x-10}$ . What is the domain?

Find how many inches are in 150 miles using the ratio $\frac{1 \text { inch }}{25 \text { miles }}$ .

Evaluate $(q \circ p)(x)$ for $p(x)=x^{2}-9 x$ and $q(x)=\frac{1}{x-10}$ . Find its domain in interval notation.

Evaluate $(q \circ r)(x)$ for $q(x)=\frac{1}{x-10}$ and $r(x)=|4x-5|$ . What is the domain?

Find the weekly profit function $P(x)$ for "Banjos Rock" T-shirts given demand $q=-50x+7200$ and cost $C(x)=-1800x+340200$ .

Inches per 25 miles equals inches per 12.5 miles: $\frac{\text { inches }}{25 \text{ miles}}=\frac{\text { inches }}{12.5 \text{ miles }}$ .

Inches to mils ratio: $\frac{\text{Inches}}{25 \text{ mils}} = \frac{\text{Inches}}{12.5 \text{ miles}}$