Solve

Problem 28801

Claim: The mean systolic blood pressure of all healthy adults is less than 125 mm Hg . Sample data: For 250 healthy adults, the mean systolic blood pressure level is 121.77 mm Hg and the standard deviation is 15.81 mm Hg . Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult. $\square$ $\square$ $\square$ (Type an integer or a decimal. Do not round.)

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Problem 28802

Use the information given in the figure to find the length $K N$ . If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

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Problem 28803

Find the slope of the line below.
Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. $1 / 3$ for $\frac{2}{6}$ $\mathrm{m}=$ $\square$ type your answer...

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Problem 28804

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

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Problem 28805

Question Given $\int_{6}^{1} f(x) d x=13 \text { and } \int_{5}^{6} f(x) d x=-2$ compute the following integral. $\int_{1}^{5} 2 f(x) d x$
Provide your answer below: $\int_{1}^{5} 2 f(x) d x=$ $\square$

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Problem 28806

Bob has 21 different dress shirts in his wardrobe. (a) In how many ways can Bob select seven shirts to pack for a business trip? (b) In how many ways can Bob select 5 of the 7 dress shirts he packed for the business trip? Each one is purposed for the five different events he will attend during the trip. (a) Bob can select seven shirts to pack for a business trip in $\square$ ways. (Simplify your answer.)

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Problem 28807

(2 points) Solve for $x$ by converting the logarithmic equation to exponential form $\begin{array}{l} \log _{c}(x)=2 \\ x=\square \text { help (numbers) } \end{array}$

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Problem 28808

3. Look at $\triangle S T U$ on this coordinate grid.
Suppose that $\triangle S^{\prime} T^{\prime} U^{\prime}$ is the result of a dilation of $\triangle S T U$ with center $T$ and scale factor 2 . What are the coordinates of point S?
A $(4,2)$ B. $(0,-3)$ c. $(3,4)$
D $(6,9)$

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Problem 28809

According to a report by CBS News, $25.8 \%$ of seniors between 65 and 74 years old still work. a. When 10 seniors between 65 and 74 are randlomly selected, find the probability that exactly 2 of them still work. $\square$ (Round to four decimal places, if possible) b. When 10 seniors between 65 and 74 are randlomly selected, find the probability that at least 5 of them still work. $\square$ (Round to four decimal places, if possible)

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Problem 28810

7. $-34 b=272$
9. $65,600=160 j$
11. $-15 x=-120$

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Problem 28811

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. Leave in simplest fractional form. $2 x^{2}-x-3=0$ $\square$

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Problem 28812

Find the arithmetic sequence for $n=19$ given the formula $a_{n}=6n+0$ .

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Problem 28813

Calculate the correlation coefficient for the sets $x = \{28, 10, 21, 17, 24, -3, 16\}$ and $y = \{29, 21, -8, 22, -7, -10, -5\}$ .

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Problem 28814

Find the $x$ -intercepts of the parabola with vertex $(1,245)$ and $y$ -intercept $(0,240)$ . Round to the nearest hundredth.

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Problem 28815

Calculate the total amount and interest after 5 years for a \$5000 deposit at 2\% annual interest, compounded monthly.

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Problem 28816

Find the real zeros of $f(x)=2x^{3}-4x^{2}-34x+68$ and factor it over the reals. A. $x=$ B. No real zeros. Factor: $f(x)=$

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Problem 28817

Solve the inequality $x^{3}-x^{2}-72 x>0$ and express the solution in interval notation.

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Problem 28818

Solve the inequality $2x - 8 \geq -3x^2$ and express the solution in interval notation.

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Problem 28819

Calculate $5|\mathbf{A}| + |\mathbf{B}|$ for $\mathbf{A}=\begin{pmatrix}0 & 1 \\ -8 & -4\end{pmatrix}$ and $\mathbf{B}=\begin{pmatrix}7 & 1 \\ 0 & -5\end{pmatrix}$ .

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Problem 28820

Find the $x$ -coordinates where the tangent of $f(x)=\frac{1}{3} x^{3}-5 x^{2}+1$ has slope $m=-16$ .

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Problem 28821

Find $A$ and $B$ for the function $f(x)=A x^{3}+B x+1$ given that the tangent at $x=1$ has slope 4 and $f(2)=12$ .

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Problem 28822

How much to deposit today at $3\%$ semiannual compounding to reach $\$8000$ in 3 years? Amount: \$\square.

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Problem 28823

Solve the equation: $\frac{3 n-7}{6}=\frac{2 n+5}{3}$ .

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Problem 28824

How much will Karen have in her savings after 15 weeks if she starts with \ $20 and adds \$3 weekly? Use$ d + 15x$.

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Problem 28825

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante $AB$ zwischen $A(3 \mid 4)$ und $B(7 \mid 6)$ .

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Problem 28826

A candle burns $5\%$ of its height per hour. If it starts at 10 inches and burns for 3 hours, find its height: $10 - 0.05 \cdot 10 \cdot 3$ .

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Problem 28827

What will your earnings be after 12 months if you deposit \$500 at a 3.6% interest rate?

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Problem 28828

A camp counselor needs to find length $x$ in feet across a lake. Given lengths: $AB = 1800$ , $EB = 1400$ , $BD = 700$ , $CD = 800$ . Find $x$ .

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Problem 28829

Find the derivatives: 1) $y=5 t^{3}+t^{2}+4 t-1$ , find $\frac{d y}{d t}$ . 2) $y=2 u^{4}+4 u^{3}+4$ , find $\frac{d^{2} y}{d u^{2}}$ . 3) $y=2 \sin (\theta)+5 \cos (\theta)$ , find $\frac{d^{5} y}{d \theta^{5}}$ .

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Problem 28830

Find the coordinates of the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

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Problem 28831

Calculate the mean length of seedlings: $4, 2, 4, 1, 5, 3, 4, 3, 7, 3$ . What is $\frac{[?]}{[]}=[]$ ? 36, 22, 7, 10.

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Problem 28832

Find the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

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Problem 28833

How much more of the $\frac{23}{32}$ mile track does the inspector need to check after inspecting $\frac{7}{32}$ mile?

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Problem 28834

Find $x$ such that $f(x)=0$ for $f(x)=x^{2}-6x+9$ . Options: A) -3 B) 0 C) 3 D) 9

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Problem 28835

How long for prices to double with an 8.40% inflation rate? Use the formula: $t = \frac{\ln(2)}{\ln(1 + r)}$ .

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Problem 28836

A woman saves \$400 monthly in an annuity at 4.1% interest to reach \$800,000. How many years until retirement?

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Problem 28837

Find the point that divides the segment $AB$ with $A(-4,-7)$ and $B(12,5)$ in a $3:7$ ratio. Give as an ordered pair.

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Problem 28838

Calculate the mean number of dogs from the data: $12, 8, 6, 3, 1, 6$ . Mean: [?] dogs.

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Problem 28839

What is the rate of return on a \$ 12,000 investment that earns \$ 960 in 1 year?

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Problem 28840

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find $C$ .

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Problem 28841

Find the derivative of the function: $\frac{d}{d x} \sqrt[4]{\frac{x^{3}+8}{x^{3}-8}}$ .

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Problem 28842

Find the real values of $x$ satisfying: $\frac{6}{x+2}-\frac{2}{x-2}=-\frac{4}{x^{2}-4}$ , with $x \neq \pm 2$ .

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Problem 28843

Calculate the mean length of fish in cm: $7, 2, 1, 4, 5, 2, 3$ . Round to the nearest tenth. Mean: [?] cm

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Problem 28844

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find coordinates of $C$ .

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Problem 28845

Solve for $x$ : $\frac{3 x}{6}+1=7$ . What is $x$ ? Options: $4$ , $12$ , $16$ .

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Problem 28846

Given data on prisoners by age and courses taken, find:
1. The probability a prisoner takes no classes.
2. The probability a prisoner is under 30 and takes high school or college classes.

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Problem 28847

If $(x-1)$ is a factor of $f(x)=x^{4}-b x^{3}+4 x^{2}+3$ , find the value of $b$ .

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Problem 28848

You owe \$15,000 at 4.45% interest compounded monthly. What are your monthly payments to pay off in 7 years, and total interest paid?

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Problem 28849

Find the probability that a randomly selected patient had exactly 3 tests done, given the test distribution for 32 patients.

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Problem 28850

What will a \$10,000 investment be worth after 1 year with a 4.9% annual return?

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Problem 28851

Find the inverse function $f^{-1}$ for $f(x)=\sqrt[3]{x-2}+8$ .

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Problem 28852

Find the solutions to $2 x^{2} = -10 x + 12$ . Select from: $x=1, x=6, x=-3, x=-6, x=-2, x=3$ .

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Problem 28853

A hospital has 4 MDs and 1 DO in Pathology. Find the probability of randomly selecting a pathologist as a fraction or decimal.

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Problem 28854

Find the probabilities:
1. Probability a randomly chosen doctor is a pathologist: $P(\text{pathologist})=0.128$ .
2. Probability a randomly chosen doctor is a pediatrician or a Doctor of Osteopathy.

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Problem 28855

Find the solutions for $2 x^{2} = -10 x + 12$ . Choose from: $x=1$ , $x=6$ , $x=-3$ , $x=-6$ , $x=-2$ , $x=3$ .

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Problem 28856

Pamela's loan grew by R7980,00 to R32 923,00 in 4 years. Find the annual interest rate (compounded quarterly) as a %.

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Problem 28857

Calculate the payback time for a loan of \R 4670,00 with a simple discount rate of 14\% received as \R 3852,75. Choices: a. 16.58 years, b. 1.51 years, c. 1.47 years.

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Problem 28858

Which equation matches $-4(x-5)+8x=9x-3$ ? A. $-5x=2$ B. $5x=-12$ C. $-5x=-23$ D. $5x=17$

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Problem 28859

Calculate monthly payments and total interest for a \$23,000 loan at 4.35\% interest over 6 years.

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Problem 28860

Find the probability of selecting a white paper clip first ( $A$ ) and then a green paper clip second ( $B$ ) from mixed clips.

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Problem 28861

Invest \$5,000 at 3% interest. How much to invest at 5% for total interest of \$275 after one year? Options: \$2,500, \$2,000, \$3,000.

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Problem 28862

Tristan has a \$7,000 balance on his credit card with a 7\% A.P.R. What will be the interest charge next month?

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Problem 28863

Solve the equations: $6x=32$ and $6(x-8)=32$ .

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Problem 28864

Find the fraction of countries in North America where a nonprofit works. Total: 7 NA, 5 SA, 5 CE, 11 AF, 14 AS.

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Problem 28865

How many standard deviations is \$183 from the mean of \$307 with a standard deviation of \$62? Round to two decimal places.

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Problem 28866

How many standard deviations is Tyler's 11 pounds of sugar from the mean of 5 pounds with a standard deviation of 1.1 pounds? Round to two decimal places.

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Problem 28867

A hospital has 4 pathologists, 11 pediatricians, and 23 orthopedists. Find the probability of selecting a pathologist and a pediatrician or a doctor of osteopathy.

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Problem 28868

A Discover card gives 3% cash-back on groceries/restaurants and 1% on other purchases. Calculate cash-back on \$2000 monthly spend.

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Problem 28869

Lucy owes \$500 on her credit card. Find her minimum payment (3.5\%), monthly interest (29\% annual), and new balance. Round to cents.

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Problem 28870

After adding $3 x$ to $5 - 3 x = 2 x + 9$ , what should you do next? Options: add -9, add $-2 x$ , add -5.

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Problem 28871

Solve for $c$ in the equation: $-3c + 8 = -14$ .

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Problem 28872

How much water (in cubic inches) should Mary pour into her cylinder vase with radius 4 in and height 10 in to fill it $\frac{3}{4}$ full?

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Problem 28873

Solve for $c$ in the equation: $-3c + 8 = -19$ .

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Problem 28874

Marissa deposits \$1,000 and adds \$100 monthly for 40 years at a 6.5% annual return. What's her total balance?

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Problem 28875

Lerato wants to buy a car for R160000 in 5.5 years. He has R30000 now. What's needed in his second account with 11% interest?

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Problem 28876

R2 300,00 is deposited, then R1400,00 added after 12 months. Find total after 2 years at $8\%$ and $9.5\%$ interest.

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Problem 28877

Bongeka owes R1,684 now and R1,323 in 8 months. Find equal payments in 2 and 5 months at $11.4\%$ interest. Choices: a. R1583 b. R1546 c. R3137 d. R1569

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Problem 28878

Calculate the miles per gallon if Dave and Mary drove $290 \frac{1}{4}$ miles using $13 \frac{1}{2}$ gallons of gas.

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Problem 28879

Calculate the mass change (in kg) for each mole of $\mathrm{H}_{2}$ formed in the reaction: $\mathrm{H}(g)+\mathrm{H}(g) \rightarrow \mathrm{H}_{2}(g)$ with $\Delta H^{\circ}=-436.4 \mathrm{~kJ} / \mathrm{mol}$ .

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Problem 28880

The flag's length is $2 \frac{2}{5}$ times its width. If the width is $4 \frac{1}{2}$ ft, find the length.

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Problem 28881

Jessica bakes 112 muffins in 7 batches. Find the number of muffins per batch: $x = \frac{112}{7}$ .

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Problem 28882

Find the protons and electrons in a $\mathrm{Cr}^{3+}$ ion.

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Problem 28883

Find the number of electrons in the ion $N^{3-}$ .

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Problem 28884

Calculate the miles per gallon if Dave and Mary drove $290 \frac{1}{4}$ miles using $13 \frac{1}{2}$ gallons of gas.

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Problem 28885

Find the number of electrons in the ion $\mathrm{Fe}^{2+}$ .

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Problem 28886

Solve the equation $e^{2}+6 e+8=0$ .

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Problem 28887

Solve for $y$ in the equation $4(y-3)=24$ .

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Problem 28888

Solve the equation $i^{2}+8 i+16=0$ .

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Problem 28889

Find the mass of a gas in a tank measuring $27.0 \mathrm{~cm} \times 7.0 \mathrm{~cm} \times 11.25 \mathrm{~cm}$ with density $0.020 \mathrm{~g/mL}$ .

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Problem 28890

Find the relative charge of a monatomic ion with 20 protons and 18 electrons.

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Problem 28891

How fast must a horse run in mph to complete the 10 furlong Derby in 2 minutes? (1 mile = 8 furlongs)

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Problem 28892

How fast must a horse run in mph to finish the 10 furlong Kentucky Derby in 2 minutes? (1 mile = 8 furlongs)

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Problem 28893

Solve the equation $g^{2}+8g+7=0$ .

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Problem 28894

Find the relative charge of a monatomic ion with 15 protons and 18 electrons.

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Problem 28895

Calculate the decimal approximation of $\csc \left(-6^{\circ} 10^{\prime}\right)$ .

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Problem 28896

Find the value of $a$ using the Cosine rule: $a^{2}=3^{2}+4^{2}-2 \cdot 3 \cdot 4 \cdot 0.5$ .

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Problem 28897

Find the reciprocal of $4 \frac{2}{5}$ . Options: $\frac{22}{5}$ , $\frac{8}{5}$ , $\frac{5}{8}$ , $\frac{5}{22}$ .

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Problem 28898

Solve the quadratic equation: $k^{2}+10k+16=0$ .

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Problem 28899

Find the measures of complementary angles $\angle J$ and $\angle K$ , where $\angle J$ is 18 less than $\angle K$ .

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Problem 28900

Find the speed of light in the second medium using Snell's Law: $\frac{c_{1}}{c_{2}}=\frac{\sin \theta_{1}}{\sin \theta_{2}}$ for given angles.

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1 ...286 287 288 289 290 291 292 ...307

Solve

Problem 28801

Problem 28802

Use the information given in the figure to find the length KNK NKN. If applicable, round your answer to the nearest whole number.The lengths on the figure are not drawn accurately.

Problem 28803

Find the slope of the line below.Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. 1/31 / 31/3 for 26\frac{2}{6}62​ m=\mathrm{m}=m= □\square□ type your answer...

Problem 28804

Solve for w. 5 8 4 7 M 2 Simplify your answer as much as possible. W = ☐ Go X G

Problem 28805

Problem 28806

Problem 28807

(2 points) Solve for xxx by converting the logarithmic equation to exponential form log⁡c(x)=2x=□ help (numbers) \begin{array}{l} \log _{c}(x)=2 \\ x=\square \text { help (numbers) } \end{array}logc​(x)=2x=□ help (numbers) ​

Problem 28808

Problem 28809

Problem 28810

7. −34b=272-34 b=272−34b=2729. 65,600=160j65,600=160 j65,600=160j11. −15x=−120-15 x=-120−15x=−120

Problem 28811

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. Leave in simplest fractional form. 2x2−x−3=02 x^{2}-x-3=02x2−x−3=0 □\square□

Problem 28812

Find the arithmetic sequence for n=19n=19n=19 given the formula an=6n+0a_{n}=6n+0an​=6n+0.

Problem 28813

Calculate the correlation coefficient for the sets x={28,10,21,17,24,−3,16}x = \{28, 10, 21, 17, 24, -3, 16\}x={28,10,21,17,24,−3,16} and y={29,21,−8,22,−7,−10,−5}y = \{29, 21, -8, 22, -7, -10, -5\}y={29,21,−8,22,−7,−10,−5}.

Problem 28814

Find the xxx-intercepts of the parabola with vertex (1,245)(1,245)(1,245) and yyy-intercept (0,240)(0,240)(0,240). Round to the nearest hundredth.

Problem 28815

Calculate the total amount and interest after 5 years for a \$5000 deposit at 2\% annual interest, compounded monthly.

Problem 28816

Find the real zeros of f(x)=2x3−4x2−34x+68f(x)=2x^{3}-4x^{2}-34x+68f(x)=2x3−4x2−34x+68 and factor it over the reals. A. x=x=x= B. No real zeros. Factor: f(x)=f(x)=f(x)=

Problem 28817

Solve the inequality x3−x2−72x>0x^{3}-x^{2}-72 x>0x3−x2−72x>0 and express the solution in interval notation.

Problem 28818

Solve the inequality 2x−8≥−3x22x - 8 \geq -3x^22x−8≥−3x2 and express the solution in interval notation.

Problem 28819

Calculate 5∣A∣+∣B∣5|\mathbf{A}| + |\mathbf{B}|5∣A∣+∣B∣ for A=(01−8−4)\mathbf{A}=\begin{pmatrix}0 & 1 \\ -8 & -4\end{pmatrix}A=(0−8​1−4​) and B=(710−5)\mathbf{B}=\begin{pmatrix}7 & 1 \\ 0 & -5\end{pmatrix}B=(70​1−5​).

Problem 28820

Find the xxx-coordinates where the tangent of f(x)=13x3−5x2+1f(x)=\frac{1}{3} x^{3}-5 x^{2}+1f(x)=31​x3−5x2+1 has slope m=−16m=-16m=−16.

Problem 28821

Find AAA and BBB for the function f(x)=Ax3+Bx+1f(x)=A x^{3}+B x+1f(x)=Ax3+Bx+1 given that the tangent at x=1x=1x=1 has slope 4 and f(2)=12f(2)=12f(2)=12.

Problem 28822

How much to deposit today at 3%3\%3% semiannual compounding to reach $8000\$8000$8000 in 3 years? Amount: \$\square.

Problem 28823

Solve the equation: 3n−76=2n+53\frac{3 n-7}{6}=\frac{2 n+5}{3}63n−7​=32n+5​.

Problem 28824

How much will Karen have in her savings after 15 weeks if she starts with \20andadds$3weekly?Use20 and adds \$3 weekly? Use 20andadds$3weekly?Used + 15x$.

Problem 28825

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante ABABAB zwischen A(3∣4)A(3 \mid 4)A(3∣4) und B(7∣6)B(7 \mid 6)B(7∣6).

Problem 28826

A candle burns 5%5\%5% of its height per hour. If it starts at 10 inches and burns for 3 hours, find its height: 10−0.05⋅10⋅310 - 0.05 \cdot 10 \cdot 310−0.05⋅10⋅3.

Problem 28827

What will your earnings be after 12 months if you deposit \$500 at a 3.6% interest rate?

Problem 28828

A camp counselor needs to find length xxx in feet across a lake. Given lengths: AB=1800AB = 1800AB=1800, EB=1400EB = 1400EB=1400, BD=700BD = 700BD=700, CD=800CD = 800CD=800. Find xxx.

Problem 28829

Problem 28830

Find the coordinates of the point that is 710\frac{7}{10}107​ of the way from A(−3,−5)A(-3,-5)A(−3,−5) to B(9,7)B(9,7)B(9,7).

Problem 28831

Calculate the mean length of seedlings: 4,2,4,1,5,3,4,3,7,34, 2, 4, 1, 5, 3, 4, 3, 7, 34,2,4,1,5,3,4,3,7,3. What is [?][]=[]\frac{[?]}{[]}=[][][?]​=[]? 36, 22, 7, 10.

Problem 28832

Find the point that is 710\frac{7}{10}107​ of the way from A(−3,−5)A(-3,-5)A(−3,−5) to B(9,7)B(9,7)B(9,7).

Problem 28833

How much more of the 2332\frac{23}{32}3223​ mile track does the inspector need to check after inspecting 732\frac{7}{32}327​ mile?

Problem 28834

Find xxx such that f(x)=0f(x)=0f(x)=0 for f(x)=x2−6x+9f(x)=x^{2}-6x+9f(x)=x2−6x+9. Options: A) -3 B) 0 C) 3 D) 9

Problem 28835

How long for prices to double with an 8.40% inflation rate? Use the formula: t=ln⁡(2)ln⁡(1+r)t = \frac{\ln(2)}{\ln(1 + r)}t=ln(1+r)ln(2)​.

Problem 28836

A woman saves \$400 monthly in an annuity at 4.1% interest to reach \$800,000. How many years until retirement?

Problem 28837

Find the point that divides the segment ABABAB with A(−4,−7)A(-4,-7)A(−4,−7) and B(12,5)B(12,5)B(12,5) in a 3:73:73:7 ratio. Give as an ordered pair.

Problem 28838

Calculate the mean number of dogs from the data: 12,8,6,3,1,612, 8, 6, 3, 1, 612,8,6,3,1,6. Mean: [?] dogs.

Problem 28839

What is the rate of return on a \$ 12,000 investment that earns \$ 960 in 1 year?

Problem 28840

Point BBB divides segment AC‾\overline{AC}AC in a 1:31:31:3 ratio. Given A(−4,−7)A(-4,-7)A(−4,−7) and B(12,5)B(12,5)B(12,5), find CCC.

Problem 28841

Find the derivative of the function: ddxx3+8x3−84\frac{d}{d x} \sqrt[4]{\frac{x^{3}+8}{x^{3}-8}}dxd​4x3−8x3+8​​.

Problem 28842

Find the real values of xxx satisfying: 6x+2−2x−2=−4x2−4\frac{6}{x+2}-\frac{2}{x-2}=-\frac{4}{x^{2}-4}x+26​−x−22​=−x2−44​, with x≠±2x \neq \pm 2x=±2.

Problem 28843

Use the information given in the figure to find the length $K N$ . If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Find the slope of the line below.
Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. $1 / 3$ for $\frac{2}{6}$ $\mathrm{m}=$ $\square$ type your answer...

(2 points) Solve for $x$ by converting the logarithmic equation to exponential form $\begin{array}{l} \log _{c}(x)=2 \\ x=\square \text { help (numbers) } \end{array}$

7. $-34 b=272$
9. $65,600=160 j$
11. $-15 x=-120$

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. Leave in simplest fractional form. $2 x^{2}-x-3=0$ $\square$

Find the arithmetic sequence for $n=19$ given the formula $a_{n}=6n+0$ .

Calculate the correlation coefficient for the sets $x = \{28, 10, 21, 17, 24, -3, 16\}$ and $y = \{29, 21, -8, 22, -7, -10, -5\}$ .

Find the $x$ -intercepts of the parabola with vertex $(1,245)$ and $y$ -intercept $(0,240)$ . Round to the nearest hundredth.

Find the real zeros of $f(x)=2x^{3}-4x^{2}-34x+68$ and factor it over the reals. A. $x=$ B. No real zeros. Factor: $f(x)=$

Solve the inequality $x^{3}-x^{2}-72 x>0$ and express the solution in interval notation.

Solve the inequality $2x - 8 \geq -3x^2$ and express the solution in interval notation.

Calculate $5|\mathbf{A}| + |\mathbf{B}|$ for $\mathbf{A}=\begin{pmatrix}0 & 1 \\ -8 & -4\end{pmatrix}$ and $\mathbf{B}=\begin{pmatrix}7 & 1 \\ 0 & -5\end{pmatrix}$ .

Find the $x$ -coordinates where the tangent of $f(x)=\frac{1}{3} x^{3}-5 x^{2}+1$ has slope $m=-16$ .

Find $A$ and $B$ for the function $f(x)=A x^{3}+B x+1$ given that the tangent at $x=1$ has slope 4 and $f(2)=12$ .

How much to deposit today at $3\%$ semiannual compounding to reach $\$8000$ in 3 years? Amount: \$\square.

Solve the equation: $\frac{3 n-7}{6}=\frac{2 n+5}{3}$ .

How much will Karen have in her savings after 15 weeks if she starts with \ $20 and adds \$3 weekly? Use$ d + 15x$.

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante $AB$ zwischen $A(3 \mid 4)$ und $B(7 \mid 6)$ .

A candle burns $5\%$ of its height per hour. If it starts at 10 inches and burns for 3 hours, find its height: $10 - 0.05 \cdot 10 \cdot 3$ .

A camp counselor needs to find length $x$ in feet across a lake. Given lengths: $AB = 1800$ , $EB = 1400$ , $BD = 700$ , $CD = 800$ . Find $x$ .

Find the coordinates of the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

Calculate the mean length of seedlings: $4, 2, 4, 1, 5, 3, 4, 3, 7, 3$ . What is $\frac{[?]}{[]}=[]$ ? 36, 22, 7, 10.

Find the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

How much more of the $\frac{23}{32}$ mile track does the inspector need to check after inspecting $\frac{7}{32}$ mile?

Find $x$ such that $f(x)=0$ for $f(x)=x^{2}-6x+9$ . Options: A) -3 B) 0 C) 3 D) 9

How long for prices to double with an 8.40% inflation rate? Use the formula: $t = \frac{\ln(2)}{\ln(1 + r)}$ .

Find the point that divides the segment $AB$ with $A(-4,-7)$ and $B(12,5)$ in a $3:7$ ratio. Give as an ordered pair.

Calculate the mean number of dogs from the data: $12, 8, 6, 3, 1, 6$ . Mean: [?] dogs.

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find $C$ .

Find the derivative of the function: $\frac{d}{d x} \sqrt[4]{\frac{x^{3}+8}{x^{3}-8}}$ .

Find the real values of $x$ satisfying: $\frac{6}{x+2}-\frac{2}{x-2}=-\frac{4}{x^{2}-4}$ , with $x \neq \pm 2$ .

Calculate the mean length of fish in cm: $7, 2, 1, 4, 5, 2, 3$ . Round to the nearest tenth. Mean: [?] cm

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find coordinates of $C$ .

Solve for $x$ : $\frac{3 x}{6}+1=7$ . What is $x$ ? Options: $4$ , $12$ , $16$ .

Given data on prisoners by age and courses taken, find:
1. The probability a prisoner takes no classes.
2. The probability a prisoner is under 30 and takes high school or college classes.

If $(x-1)$ is a factor of $f(x)=x^{4}-b x^{3}+4 x^{2}+3$ , find the value of $b$ .

Find the inverse function $f^{-1}$ for $f(x)=\sqrt[3]{x-2}+8$ .

Find the solutions to $2 x^{2} = -10 x + 12$ . Select from: $x=1, x=6, x=-3, x=-6, x=-2, x=3$ .

Find the probabilities:
1. Probability a randomly chosen doctor is a pathologist: $P(\text{pathologist})=0.128$ .
2. Probability a randomly chosen doctor is a pediatrician or a Doctor of Osteopathy.

Find the solutions for $2 x^{2} = -10 x + 12$ . Choose from: $x=1$ , $x=6$ , $x=-3$ , $x=-6$ , $x=-2$ , $x=3$ .

Which equation matches $-4(x-5)+8x=9x-3$ ? A. $-5x=2$ B. $5x=-12$ C. $-5x=-23$ D. $5x=17$

Find the probability of selecting a white paper clip first ( $A$ ) and then a green paper clip second ( $B$ ) from mixed clips.

Solve the equations: $6x=32$ and $6(x-8)=32$ .

After adding $3 x$ to $5 - 3 x = 2 x + 9$ , what should you do next? Options: add -9, add $-2 x$ , add -5.

Solve for $c$ in the equation: $-3c + 8 = -14$ .

How much water (in cubic inches) should Mary pour into her cylinder vase with radius 4 in and height 10 in to fill it $\frac{3}{4}$ full?

Solve for $c$ in the equation: $-3c + 8 = -19$ .