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Problem 29301

Round 38,469 to the nearest thousand. How many seats does the stadium have?

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Problem 29302

Find $P(B)$ given $P(A)=0.4$ , $P(A \text{ OR } B)=0.89$ , and $P(A \text{ AND } B)=0.01$ .

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Problem 29303

What is the probability of rolling a 1, 2, or 3 on the first die and a 5 on the second die? Express as a fraction.

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Problem 29304

Calculate moles of $\mathrm{CH}_{3} \mathrm{OH}$ in $150.0 \mathrm{~mL}$ of $0.210 \mathrm{M} \mathrm{CH}_{3} \mathrm{OH}$ .

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Problem 29305

Find the secant line between $x=3$ and $x=7$ for $y=f(x)=x^{2}+x$ and the tangent line at $x=3$ .

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Problem 29306

A rectangle's length is $5 \mathrm{ft}$ more than twice the width, with an area of $42 \mathrm{ft}^{2}$ . Find its dimensions.

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Problem 29307

Find the probability that a patient has the flu and is a woman, given $P(A)=0.09$ and $P(B)=0.65$ .

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Problem 29308

Find the probability of a student taking yoga or pilates given: P(yoga) = 0.70, P(pilates) = 0.60, P(yoga and pilates) = 0.51.

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Problem 29309

Find the secant line for $y=f(x)=x^{2}+x$ at $x=3$ and $x=7$ , and the tangent line at $x=3$ .

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Problem 29310

What is the probability that Sam chooses either the day shift or the night shift if P(day) = 0.9 and P(night) = 0.03?

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Problem 29311

Find the probability of a student living off campus given that P(cafeteria and off campus) = 0.07 and P(cafeteria | off campus) = 0.20.

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Problem 29312

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.09$ and $P(B)=0.03$ .

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Problem 29313

Find the probability that a student is a business major given that the probability of being in a statistics course is 0.29 and 0.67. Round to three decimal places.

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Problem 29314

A gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

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Problem 29315

A police officer gives a warning with probability 0.03 and a ticket or warning with probability 0.52. Find the ticket probability.

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Problem 29316

Find integers for the description: fewer than 9 people.

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Problem 29317

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.22$ and $P(B)=0.42$ .

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Problem 29318

Find the slope of the tangent line for $f(x)=\frac{5}{x}$ at $x=4$ by calculating the instantaneous rate of change.

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Problem 29319

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.22$ and $P(B)=0.42$ .

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Problem 29320

Calculate the mean, median, and mode of these depths: 4.1, 4.1, 4.0, 4.1, 3.9, 4.4, 3.9, 4.3, 4.0, 4.2, 4.0, 3.8.

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Problem 29321

Find the slope of the tangent line for $f(x)=\frac{5}{x}$ at $x=4$ . The slope is $-\frac{5}{16}$ . What is the tangent line equation?

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Problem 29322

How far does sound travel in $3 \times 10^{10}$ seconds at $3.4 \times 10^{2}$ m/s? Show the calculator's answer.

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Problem 29323

Convert the mixed number 4 1/3 to a fraction. What is it? $4 \frac{1}{3} =$

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Problem 29324

Write the missing number. $3 + 2 = 2 + \_$

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Problem 29325

Calculate the product of 57 and 23: $57 \times 23$ .

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Problem 29326

Find the weight of an airplane with 70 gallons of fuel, given it weighs 2012 lbs at 20 gallons and 2208 lbs at 55 gallons.

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Problem 29327

Find the probability that a child requests a toy and watches cartoons, given $P(A) = 0.56$ and $P(B|A) = 0.89$ . Answer as a percent.

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Problem 29328

Find the sums or differences for the following:
1. $\frac{1}{5}+\frac{2}{5}$
2. $\frac{8}{9}-\frac{4}{9}$
3. $\frac{5}{10}-\frac{3}{10}$
4. $\frac{3}{8}+\frac{1}{8}$
5. $\frac{3}{8}+\frac{1}{6}$
6. $\frac{1}{12}+\frac{2}{3}$
7. $\frac{3}{4}-\frac{1}{6}$
8. $\frac{5}{12}-\frac{1}{8}$
9. $5 \frac{1}{2}+2 \frac{1}{4}$
10. $9 \frac{3}{10}+4 \frac{1}{2}$
11. $7 \frac{5}{6}-2 \frac{1}{2}$
12. $7-3 \frac{1}{3}$
13. $3.04+2.881$
14. $14.9-6.18$
15. $8.19-0.042$
16. $73.24+12.623$
Also, answer the question: How is adding fractions different from adding integers?

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Problem 29329

Chau drives to Dallas. After 43 min, he has 47 miles left; after 65 min, 30.5 miles. How far after 71 min?

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Problem 29330

Find the difference between Carl's weight gain ( $1,695$ gms) and Don's weight loss ( $-2,958$ gms).

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Problem 29331

Divide: $\frac{1}{4} \div \frac{1}{2}$ . What is the answer as a whole number or simplified fraction?

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Problem 29332

Find $P(B)$ given $P(A \text{ AND } B)=0.29$ and $P(A \mid B)=0.67$ . Answer as a percent, rounded to two decimal places.

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Problem 29333

Solve for $y$ : $3(4y - 1) = 2\left(5y + \frac{1}{2}\right)$ . What is $y$ ?

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Problem 29334

Find the monthly cost for 75 minutes of calls if 55 mins costs \$13.63 and 91 mins costs \$17.95.

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Problem 29335

If $A$ and $B$ are independent with $P(A)=0.60$ and $P(A \text{ AND } B)=0.30$ , find $P(B)$ as a percent.

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Problem 29336

What is the probability of rolling greater than 1 on a die and getting heads on a coin? Answer as a fraction.

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Problem 29337

Find the height from which a marble falls in 3 seconds using the formula $s=16 t^{2}$ . What is the height $s$ ?

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Problem 29338

A forest area of $2700 \mathrm{~km}^{2}$ decreases by $3.75\%$ yearly. Find the area after 13 years, rounded to the nearest km.

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Problem 29339

Find the sums or differences for these fractions and mixed numbers: 1. $\frac{1}{5}+\frac{2}{5}$ , 2. $\frac{8}{9}-\frac{4}{9}$ , 5. $\frac{3}{8}+\frac{1}{6}$ , 6. $\frac{1}{12}+\frac{2}{3}$ , 9. $5 \frac{1}{2}+2 \frac{1}{4}$ , 10. $9 \frac{3}{10}+4 \frac{1}{2}$ , 3. $\frac{5}{10}-\frac{3}{10}$ , 4. $\frac{3}{8}+\frac{1}{8}$ , 13. $3.04+2.881$ , 14. $14.9-6.18$ , 7. $\frac{3}{4}-\frac{1}{6}$ , 8. $\frac{5}{12}-\frac{1}{8}$ , 11. $7 \frac{5}{6}-2 \frac{1}{2}$ , 12. $7-3 \frac{1}{3}$ , 17. How is adding fractions different from adding integers?

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Problem 29340

At a party with 130 students, 35 speak French, 50 speak English, 28 speak only English, and 13 speak only French. Find the probability a randomly selected student speaks both languages.

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Problem 29341

Find $P(B)$ given $P(A)=0.3$ , $P(A \text{ OR } B)=0.63$ , and $P(A \text{ AND } B)=0.17$ .

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Problem 29342

A student drops a marble from a $180 \mathrm{~cm}$ ramp, reaching $80.0 \mathrm{~cm/s}$ . How long to reach the bottom?

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Problem 29343

Find the slope between the points (-4,6) and (6,6). Then find the slope between (-3,2) and (-3,-9).

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Problem 29344

Expressions with Irrational Numbers: Tutorial Part C Find the square roots of the two factors of $\sqrt{36}$ and multiply them. $\square$
Space used (includes formatting): $0 / 30000$ Submit
Part D
Is this answer the same as the answer you would get from directly finding the square root of 36 ? What does this finding show? $\square$

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Problem 29345

ASK YOUR TEACHER
A contestant in a winter games event pushes a $41.0-\mathrm{kg}$ block of ice across a frozen lake with a force of 25 N at $28.0^{\circ}$ below the horizontal as shown in Figure (a) below, and it moves with an acceleration of $0.540 \mathrm{~m} / \mathrm{s}^{2}$ to the right. (a) (b) (a) What is the normal force exerted by the lake surface on the block of ice? $\square$ N surface on the block of ite? $\square$ Tutorial

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Problem 29346

El Sr. Reyes preparó 4 bandejas de pastelitos para su clase. Cada bandeja tiene 12 pastelitos. Si en la clase del Sr. Reyes hay 24 estudiantes, ¿cuántos pastelitos le tocarán a cada estudiante?

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Problem 29347

4. Given $f(x)=3 x^{2}+17$ , find $f(-5)$

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Problem 29348

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

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Problem 29349

$6 of 15 Next (x Maurice had$ 23.72 in his checking account, then a debit of $48.39 and another debit of$ 82.16 were processed for automatic payments. The bank also assessed a $12 for each of these two automatic payments since Maurice had insufficient funds in his checking account. Next, Maurice deposited$ 238 into his checking account. What is the current balance for Maurice's checking account? Basic 0 7 4 5 8 00 1 2 3 X 9 9 = + -- < X X • y * X X % ° = > +1 8 三 ντ X 69 口

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Problem 29350

Expressions with Irrational Numbers: Tutorial ? Question Drag each expression to the correct location. Estimate the value of each irrational expression to the nearest integer. $\begin{array}{lllll} -3 \sqrt{4} \cdot \sqrt{3}+2 \sqrt{9} \cdot \sqrt{3} & \frac{-\sqrt{20}}{-\sqrt{21}} & \frac{2 \sqrt{2}+3 \sqrt{2}}{5 \sqrt{2}} & -\frac{3 \pi}{3 \sqrt{10}} & 4 \cdot 3 \sqrt{2}-2 \sqrt{2} \cdot \sqrt{36} \end{array}$ $-\frac{3 \pi}{3 \sqrt{10}}$

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Problem 29351

Which representation has the same rate of change of $y$ with respect to $x$ as the equation $x+$ $2 y=6$ ? (A) $y=-\frac{1}{2} x+2$

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Problem 29352

SUbmit Test Reader
Drag each expression to the correct location on the number line. Not all expressions will be used. Evaluate the expressions. Then, place the expressions on the corresponding locations on the number line. $\begin{array}{lllll} \frac{5}{7}+\pi & \frac{5 \pi}{5}+2 & 5 \sqrt{7}-6 & \frac{19}{\pi}-5.5 & \sqrt{5}+2 \sqrt{3} \end{array}$

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Problem 29353

Darin's great aunt lives in a retirement home. Darin visits her to help plant green beans in a garden. So far they have planted 6 rows with 72 green bean stalks. They plant the same number of green bean stalks in each row.
What is the constant of proportionality in this relationship? 6 12 72 78

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Problem 29354

Write the coordinates of the vertices after a translation 2 units left. $K^{\prime}(\square, \square)$

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Problem 29355

The premium for 3-5 day shipping is $20 \%$ . What is the cost to ship 2,000 lbs of goods from Chicago to Atlanta ( 700 miles) using 3-5 day shipping? \begin{tabular}{|c|c|c|c|c|c|} \hline Distance (miles) & $0-200$ & $201-400$ & $401-600$ & $601-800$ & $801-1000$ \\ \hline Price per 100 lbs & $\$ 100$ & $\$ 120$ & $\$ 200$ & $\$ 240$ & $\$ 400$ \\ \hline \end{tabular} $\$[?]$

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Problem 29356

4. $\begin{array}{l} m \angle P= \\ m \angle Q= \\ m \angle R= \end{array}$

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Problem 29357

Question Show Examples
Answer the questions below about Line 1 and Line 2 shown below. $\begin{array}{l} (6+7)+3 \\ 6+(7+3) \end{array}$ Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the $(6+7)+3$ equals $\square$ +3 which equals $\square$ 7. $6+(7+3)$ equals $6+$ $\qquad$ which equals $\square$ .

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Problem 29358

2. A 30-1b cocker spaniel is to get a ketamine and diazepam induction IV, and the dose is $0.025 \mathrm{~mL} / \mathrm{lb}$ for each. How much ketamine and diazepam will you draw up?

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Problem 29359

4. A $50-\mathrm{lb}$ dog requires a Carprofen dose of $2.2 \mathrm{mg} / \mathrm{kg}$ BID for 7 days. The drug is available in $25 \mathrm{mg}, 75 \mathrm{mg}$ , and 100 mg chewable tablets. What size tablet should be used and how many tablets must be dispensed?

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Problem 29360

as default
Solve the problem. Hint: remember to convert feet to yards (3 feet equals 1 yard) 3) The Smith family plans to carpet their new family room, which is 30 feet long and 21 feet wide. The carpeting costs $\$ 13$ per square yard. How many square yards will the family need and what will be the total cost for the carpeting? A) $70 \mathrm{ft} 2 ; \$ 2730$ B) $70 \mathrm{yd} 2 ; \$ 910$ C) $17 \mathrm{yd} 2 ; \$ 221$ D) $630 \mathrm{yd} 2 ; \$ 8190$ Question 4

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Problem 29361

2.5
Use the equality test for fractions to determine if the fractions are equal. $\text { 15) } \frac{4 ? 22}{6}$ A) Yes B) No No answer text provided. No answer text provided.

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Problem 29362

Convert. 22) $7 \mathrm{~mL}=$ $\qquad$ L A) 0.007 L B) 7.0 L C) 700 L D) 0.07 L

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Problem 29363

29) Perform the operations indicated $18.85+71.23+13.063$ A) 103.143 B) 104.243 C) 105.153 D) 104.143

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Problem 29364

Ms. Driva Reck drove from her home to a service station at $48 \mathrm{~km} / \mathrm{h}$ . She returned home by bicycle at $16 \mathrm{~km} / \mathrm{h}$ . The entire trip took 4 hours. How far was the service station from Ms. Reck's home?

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Problem 29365

Question 34
Divide. 34) $5.3346 / 1.02$ A) 0.19578 B) 0.5783 C) 52.3 D) 5.23

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Problem 29366

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. $y=-x^{2}+6 x$

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Problem 29367

$f(x)=2 x^{3}+15 x^{2}+4 x-21$
Identify the $y$ -intercept of the function. $-21$
Identify all real roots. Use commas to separate $\square$

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Problem 29368

Henry bought $\frac{5}{6}$ pound of roasted almonds for $\$ 5$ . He wants to know the price per pound.
What is the price per pound?

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Problem 29369

Solve the system of linear equations by elimination. $\begin{array}{l} x+y=2 \\ 2 x+7 y=9 \end{array}$

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Problem 29370

Jasmine paid $\$ 10$ for $\frac{5}{8}$ yard of fabric to make a pillow. She wants to know the price of 4 yards of the same fabric so that she can make a quilt.
What is the price per yard of the fabric?

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Problem 29371

Solve for $v$ . $\frac{v}{5}=75$
Simplify your answer as much as possible.

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Problem 29372

Solve for $v$ . $\frac{v}{5}=75$
Simplify your answer as much as possible. $v=$

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Problem 29373

Find the slope and the $y$ -intercept of the line with the following equation. $y=\frac{6}{7} x-6$

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Problem 29374

ement of the progress bor moy be uneven because questions can be worth more or less (including zero) depending A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a $65^{\circ}$ angle with a short vertical support.
What is the length $x$ of a diagonal support, to the nearest tenth of a foot? $x \approx$ $\qquad$ feet
The solution is

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Problem 29375

Mr. Harris owns a bubble machine that he uses for different school events. The bubble solution contains $\frac{3}{4}$ cup of corn starch for every 2 cups of water.
What is the rate in cups of corn starch per cup of water?
The rate is of water. \begin{tabular}{|l|} \hline $?$ \\ \hline $\frac{3}{8}$ \\ \hline $\frac{2}{3}$ \\ \hline $1 \frac{1}{2}$ \\ \hline $2 \frac{2}{3}$ \\ \hline \end{tabular}

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Problem 29376

The price of dried apricots is $\$ 4$ for every $\frac{2}{3}$ pound. What is the price per pound of the dried apricots? \\square$ per lb

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Problem 29377

The tape diagram models the lengths of two snowboarding trails. The combined length of the trails is 2000 meters. How long is each trail? Beginner Trail $\square$ Expert Trail $\square$
The beginner trail is $\square$ meters.
The expert trail is $\square$ meters.

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Problem 29378

Ready Understand Percent Concepts - Quiz - Level F
Keesha keeps track of the fiber she eats to make sure she gets enough each day. Her breakfast contains 8 grams of fiber and her recommended daily amount is 25 grams per day. Keesha wants to know what percent of her daily amount of fiber she has at breakfast.
Complete the table to show an equivalent ratio where the total amount is 100 grams. \begin{tabular}{|c|c|c|} \hline Amount at Breakfast (g) & 8 & \\ \hline Total Amount (g) & 25 & 100 \\ \hline \end{tabular}

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Problem 29379

Graph the equation using the slope and the $y$ -intercept. $y=-\frac{9}{5} x-6$

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Problem 29380

The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administration building. The engineer will collect data on different variables related to the intersection each day for ten days. Of the following variables, which will be measured using continuous data?
A The number of cars passing through the intersection in one hour
B The number of pedestrians crossing the intersection in one hour (C) The number of bicyclists crossing the intersection in one hour (D) The number of food trucks that park within four blocks of the intersection (E) The number of minutes for a car to get from the intersection to the administration building

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Problem 29381

Find the missing side. Round to the nearest tenth. 15) 17)

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Problem 29382

Solve for the value of $q$ .

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Problem 29383

$-\frac{9}{5} n-\frac{19}{10}=-1$

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Problem 29384

Consider quadrilateral $P Q R S$ below.
Note that $P Q R S$ has vertices $P(-1,3), Q(4,1), R(1,-7)$ , and $S(-4,-5)$ . Complete the following to determine if $P Q R S$ is a parallelogram. (a) Find the length of $\overline{Q R}$ and the length of $\overline{P S}$ .
Give exact answers (not decimal approximations).
Length of $\overline{Q R}$ : $\square$
Length of $\overline{P S}$ : $\square$ (b) Find the length of $\overline{R S}$ and the length of $\overline{P Q}$ . Give exact answers (not decimal approximations) y
Length of $\overline{R S}$ : $\square$
Length of $\overline{P Q}$ : $\square$ (c) From parts (a) and (b), what can we conclude? The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though the other two sides are not congruent. The quadrilateral is not a parallelogram because it has a pair of opposite sides that are not congruent. The quadrilateral is a parallelogram because it has two pairs of opposite sides that are congruent. It cannot be determined if the quadrilateral is a parallelogram.

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Problem 29385

TEK 4.3F Ayala's class, $\frac{2}{6}$ of the students prefer kiwis and $\frac{3}{6}$ of the students prefer angos. Ayala finds that $\frac{5}{6}$ of the students in her class prefer kiwis and mangos. nich statement best describes $\frac{5}{6}$ as the sum?
It is reasonable because $\frac{1}{2}+\frac{1}{2}=1$ . It is reasonable because $0+\frac{1}{2}=\frac{1}{2}$ It is not reasonable because $0+\frac{1}{2}=\frac{1}{2}$ It is not reasonable because $\frac{1}{2}+\frac{1}{2}=1$

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Problem 29386

10. Une grande roue de 20 m de rayon comporte 10 nacelles équidistantes sur sa circonférence. Suppose que les nacelles sont numérotées dans l'ordre. Quelle distance y a-t-il entre la première et la cinquième, en ligne droite?

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Problem 29387

(2) $\int x e^{x^{2}} d x$

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Problem 29388

F24 7.7 Probability Alyssa Villa 12/16/249:54 PM Question 5, 7.7.39 HW Score: $28.57 \%, 4$ of 14 points Points: 0 of 1 Save
The table gives the results of a survey of freshmen from the class of 2006 at a number of colleges and universities. Number of Colleges Applied To Percent (as a decimal) Using the percents as probabilities, find the probability of the event for a randomly selected student: the student applied to more than 3 colleges.
The probability that a randomly selected student applied to more than 3 colleges is

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Problem 29389

Which of these bonds could be triple-tax free? federal bonds corporate bonds municipal bonds all of the above none of the above

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Problem 29390

An OB/GYN physician in private practice knows her malpractice insurance will be $\$ 75,000$ and is due in one year. How much should she deposit into an account each month if that account has an annual rate of $4.0 \%$ compounded monthly and she wishes to pay it in full knowing that the insurance company drops the price by $2 \%$ if paid in full? Round your answer to two decimal places. Do not include the $\$$ sign in your answer. Hint: Lower the price by $2 \%$ as she is planning on paying in full. Your Answer:

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Problem 29391

NOM : $\qquad$ GROUPE:
Les résultats
1. Inscrivez les résultats obtenus dans le tableau 1. puis calculez la variation de la température de l'eau.
TABLEAU 1 Resultats du laboratoire
L'analyse des résultats
2. En comparant les variations de température de l'eau en présence des trois métaux, que déduisez-vous? On nemargue que les varictions de température sonk similoines et poche metrick. $\qquad$
3. Pour chacun des trois métaux, déterminez la quantité de chaleur absorbée par l'eau. $\begin{array}{l} C=4,19 \text { de leque } \\ Q=m c .4 t . \end{array}$
Aluminivm: $G=(18,28 \mathrm{~g})(4,19)\left(3^{\circ} \mathrm{C}\right)=230 \mathrm{~kJ}$
Cuture: $Q=(57,059)(419)\left(4^{\circ} \mathrm{C}\right)=956 \mathrm{~kJ}$
Laiton: $\text { Laiton: } Q(53,78 \mathrm{~g})(4,19)\left(3^{\circ} \mathrm{C}\right)=676 \mathrm{~kJ}$
Réponse: $\qquad$ Aluminium: 230 kJ Cuive: 956 kJ Lauton: 676 kJ QUANTUM Chimie • Chapitre 3 • Section 3.3

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Problem 29392

Order the following expressions from least to greatest.
LEAST $55 \%$ of 180 $300 \%$ of 26

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Problem 29393

1 Given that the radius of the Ferris wheel planned for Alphapark is 70 m and that $\theta$ represents the angle measured anticlockwise from the $x$ -axis, find all thelangles for which the pod P is: a a distance of 30 m from the $x$ -axis b a distance of 20 m to the right of the $y$ -axis. 2 a Solve the following equations. i $\sin \theta_{1}=\cos \theta_{1}$ for $0^{\circ} \leq \theta_{1} \leq 360^{\circ}$ ii $\sin \theta_{2}=0.8$ for $0^{\circ} \leq \theta_{2} \leq 360^{\circ}$ iii $\cos \theta_{3}=-0.1$ for $0^{\circ} \leq \theta_{3} \leq 360^{\circ}$ b Hence find the coordinates of the pod on the Alphapark Ferris wheel for each value of $\theta_{1}, \theta_{2}$ and $\theta_{3}$ found in part $a$ .
3 Jakub models the average monthly temperature $T$ degrees Celsius in Warsaw with the function $T=-11 \cos (30 t)+7.5$ on the domain $0 \leq t \leq 11$ . $t$ is time measured in months, with $T(0)$ representing the average temperature in January. a Predict the average temperature in May. b Predict when the average temperature would be zero. 4 Zuzanna models the depth $D$ metres of sea water in a harbour $h$ hours after midnight with the function $D=1.8 \sin (30 h)+12.3$ . a Predict the depth of water in the harbour at 5.30 am . b Predict when the depth of water in the harbour will be 10.9 m .

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Problem 29394

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a $t$ -statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the endpoints of the $t$ -distribution with $5 \%$ beyond them in each tail if the samples have sizes $n_{1}=8$ and $n_{2}=10$ . Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = $\square$ endpoints $= \pm \mathbf{i}$

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Problem 29395

5. A number $x$ is three less than twice $y$ . When you add $x$ multiplied by 4 and $y$ , the sum is six. What are the values of $x$ and $y$ ?
Equation 1: $\qquad$
Equation 2: $\qquad$

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Problem 29396

ve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

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Problem 29397

5.) If I decrease a number by $62 \%$ , what $\%$ do you need to apply to the result to get back to your original number?

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Problem 29398

(2) $c+\frac{1}{2}=\frac{4}{8}$

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Problem 29399

SITUATION COMPLEXE Koffi est un grand cultivateur de la ville d'Abengourou. Il utilise une charrette pour ramener ses récoltes à la maison. La charrette comporte deux roues dotées chacune de rayons fait en barres de fer par un soudeur comme l'indique la figure ci -- contre. Il voudrait que cette charrette puisse supporter des charges beaucoup plus importantes. Sur ce, son ami Kouman, professeur de MATHS au lycée Moderne d'Abengourou lui
conseille de refaire les roues de sorte que l'angle $\alpha \in$ ]0; $\frac{\pi}{3}$ [ entre deux rayons successifs vérifie la relation : $\sqrt{3}\cos{2\alpha} + \sin{2\alpha} = 1$ .
Etant donné que ni Koffi, ni son soudeur n'a de connaissances en Mathématiques, il sollicite son fils Tano, votre camarade de classe pour déterminer le nombre de rayons qu'il faudra avoir sur chaque nouvelle roue. En utilisant votre connaissance mathématique au programme, Aidez votre camarade à trouver une solution au problème de son père.

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Problem 29400

2. Find the derivative $d y / d x$ of $y=\sqrt{2-3 x}$ using the definition of the derivative.

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Solve

Problem 29301

Round 38,469 to the nearest thousand. How many seats does the stadium have?

Problem 29302

Find P(B)P(B)P(B) given P(A)=0.4P(A)=0.4P(A)=0.4, P(A OR B)=0.89P(A \text{ OR } B)=0.89P(A OR B)=0.89, and P(A AND B)=0.01P(A \text{ AND } B)=0.01P(A AND B)=0.01.

Problem 29303

What is the probability of rolling a 1, 2, or 3 on the first die and a 5 on the second die? Express as a fraction.

Problem 29304

Calculate moles of CH3OH\mathrm{CH}_{3} \mathrm{OH}CH3​OH in 150.0 mL150.0 \mathrm{~mL}150.0 mL of 0.210MCH3OH0.210 \mathrm{M} \mathrm{CH}_{3} \mathrm{OH}0.210MCH3​OH.

Problem 29305

Find the secant line between x=3x=3x=3 and x=7x=7x=7 for y=f(x)=x2+xy=f(x)=x^{2}+xy=f(x)=x2+x and the tangent line at x=3x=3x=3.

Problem 29306

A rectangle's length is 5ft5 \mathrm{ft}5ft more than twice the width, with an area of 42ft242 \mathrm{ft}^{2}42ft2. Find its dimensions.

Problem 29307

Find the probability that a patient has the flu and is a woman, given P(A)=0.09P(A)=0.09P(A)=0.09 and P(B)=0.65P(B)=0.65P(B)=0.65.

Problem 29308

Find the probability of a student taking yoga or pilates given: P(yoga) = 0.70, P(pilates) = 0.60, P(yoga and pilates) = 0.51.

Problem 29309

Find the secant line for y=f(x)=x2+xy=f(x)=x^{2}+xy=f(x)=x2+x at x=3x=3x=3 and x=7x=7x=7, and the tangent line at x=3x=3x=3.

Problem 29310

What is the probability that Sam chooses either the day shift or the night shift if P(day) = 0.9 and P(night) = 0.03?

Problem 29311

Find the probability of a student living off campus given that P(cafeteria and off campus) = 0.07 and P(cafeteria | off campus) = 0.20.

Problem 29312

Find the probability of either event AAA or event BBB occurring, given P(A)=0.09P(A)=0.09P(A)=0.09 and P(B)=0.03P(B)=0.03P(B)=0.03.

Problem 29313

Find the probability that a student is a business major given that the probability of being in a statistics course is 0.29 and 0.67. Round to three decimal places.

Problem 29314

A gardener creates a circular flower bed with a 12 ft diameter. Find its circumference and area.

Problem 29315

A police officer gives a warning with probability 0.03 and a ticket or warning with probability 0.52. Find the ticket probability.

Problem 29316

Find integers for the description: fewer than 9 people.

Problem 29317

Find the probability of either event AAA or event BBB occurring, given P(A)=0.22P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42P(B)=0.42.

Problem 29318

Find the slope of the tangent line for f(x)=5xf(x)=\frac{5}{x}f(x)=x5​ at x=4x=4x=4 by calculating the instantaneous rate of change.

Problem 29319

Find the probability of either event AAA or event BBB occurring, given P(A)=0.22P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42P(B)=0.42.

Problem 29320

Calculate the mean, median, and mode of these depths: 4.1, 4.1, 4.0, 4.1, 3.9, 4.4, 3.9, 4.3, 4.0, 4.2, 4.0, 3.8.

Problem 29321

Find the slope of the tangent line for f(x)=5xf(x)=\frac{5}{x}f(x)=x5​ at x=4x=4x=4. The slope is −516-\frac{5}{16}−165​. What is the tangent line equation?

Problem 29322

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

Problem 29323

Convert the mixed number 4 1/3 to a fraction. What is it? 413=4 \frac{1}{3} = 431​=

Problem 29324

Write the missing number. 3+2=2+_3 + 2 = 2 + \_3+2=2+_

Problem 29325

Calculate the product of 57 and 23: 57×2357 \times 2357×23.

Problem 29326

Find the weight of an airplane with 70 gallons of fuel, given it weighs 2012 lbs at 20 gallons and 2208 lbs at 55 gallons.

Problem 29327

Find the probability that a child requests a toy and watches cartoons, given P(A)=0.56P(A) = 0.56P(A)=0.56 and P(B∣A)=0.89P(B|A) = 0.89P(B∣A)=0.89. Answer as a percent.

Problem 29328

Problem 29329

Chau drives to Dallas. After 43 min, he has 47 miles left; after 65 min, 30.5 miles. How far after 71 min?

Problem 29330

Find the difference between Carl's weight gain (1,6951,6951,695 gms) and Don's weight loss (−2,958-2,958−2,958 gms).

Problem 29331

Divide: 14÷12\frac{1}{4} \div \frac{1}{2}41​÷21​. What is the answer as a whole number or simplified fraction?

Problem 29332

Find P(B)P(B)P(B) given P(A AND B)=0.29P(A \text{ AND } B)=0.29P(A AND B)=0.29 and P(A∣B)=0.67P(A \mid B)=0.67P(A∣B)=0.67. Answer as a percent, rounded to two decimal places.

Problem 29333

Solve for yyy: 3(4y−1)=2(5y+12)3(4y - 1) = 2\left(5y + \frac{1}{2}\right)3(4y−1)=2(5y+21​). What is yyy?

Problem 29334

Find the monthly cost for 75 minutes of calls if 55 mins costs \$13.63 and 91 mins costs \$17.95.

Problem 29335

If AAA and BBB are independent with P(A)=0.60P(A)=0.60P(A)=0.60 and P(A AND B)=0.30P(A \text{ AND } B)=0.30P(A AND B)=0.30, find P(B)P(B)P(B) as a percent.

Problem 29336

What is the probability of rolling greater than 1 on a die and getting heads on a coin? Answer as a fraction.

Problem 29337

Find the height from which a marble falls in 3 seconds using the formula s=16t2s=16 t^{2}s=16t2. What is the height sss?

Problem 29338

A forest area of 2700 km22700 \mathrm{~km}^{2}2700 km2 decreases by 3.75%3.75\%3.75% yearly. Find the area after 13 years, rounded to the nearest km.

Problem 29339

Problem 29340

At a party with 130 students, 35 speak French, 50 speak English, 28 speak only English, and 13 speak only French. Find the probability a randomly selected student speaks both languages.

Problem 29341

Find $P(B)$ given $P(A)=0.4$ , $P(A \text{ OR } B)=0.89$ , and $P(A \text{ AND } B)=0.01$ .

Calculate moles of $\mathrm{CH}_{3} \mathrm{OH}$ in $150.0 \mathrm{~mL}$ of $0.210 \mathrm{M} \mathrm{CH}_{3} \mathrm{OH}$ .

Find the secant line between $x=3$ and $x=7$ for $y=f(x)=x^{2}+x$ and the tangent line at $x=3$ .

A rectangle's length is $5 \mathrm{ft}$ more than twice the width, with an area of $42 \mathrm{ft}^{2}$ . Find its dimensions.

Find the probability that a patient has the flu and is a woman, given $P(A)=0.09$ and $P(B)=0.65$ .

Find the secant line for $y=f(x)=x^{2}+x$ at $x=3$ and $x=7$ , and the tangent line at $x=3$ .

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.09$ and $P(B)=0.03$ .

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.22$ and $P(B)=0.42$ .

Find the slope of the tangent line for $f(x)=\frac{5}{x}$ at $x=4$ by calculating the instantaneous rate of change.

Find the probability of either event $A$ or event $B$ occurring, given $P(A)=0.22$ and $P(B)=0.42$ .

Find the slope of the tangent line for $f(x)=\frac{5}{x}$ at $x=4$ . The slope is $-\frac{5}{16}$ . What is the tangent line equation?

How far does sound travel in $3 \times 10^{10}$ seconds at $3.4 \times 10^{2}$ m/s? Show the calculator's answer.

Convert the mixed number 4 1/3 to a fraction. What is it? $4 \frac{1}{3} =$

Write the missing number. $3 + 2 = 2 + \_$

Calculate the product of 57 and 23: $57 \times 23$ .

Find the probability that a child requests a toy and watches cartoons, given $P(A) = 0.56$ and $P(B|A) = 0.89$ . Answer as a percent.

Find the difference between Carl's weight gain ( $1,695$ gms) and Don's weight loss ( $-2,958$ gms).

Divide: $\frac{1}{4} \div \frac{1}{2}$ . What is the answer as a whole number or simplified fraction?

Find $P(B)$ given $P(A \text{ AND } B)=0.29$ and $P(A \mid B)=0.67$ . Answer as a percent, rounded to two decimal places.

Solve for $y$ : $3(4y - 1) = 2\left(5y + \frac{1}{2}\right)$ . What is $y$ ?

If $A$ and $B$ are independent with $P(A)=0.60$ and $P(A \text{ AND } B)=0.30$ , find $P(B)$ as a percent.

Find the height from which a marble falls in 3 seconds using the formula $s=16 t^{2}$ . What is the height $s$ ?

A forest area of $2700 \mathrm{~km}^{2}$ decreases by $3.75\%$ yearly. Find the area after 13 years, rounded to the nearest km.

Find $P(B)$ given $P(A)=0.3$ , $P(A \text{ OR } B)=0.63$ , and $P(A \text{ AND } B)=0.17$ .

A student drops a marble from a $180 \mathrm{~cm}$ ramp, reaching $80.0 \mathrm{~cm/s}$ . How long to reach the bottom?

4. Given $f(x)=3 x^{2}+17$ , find $f(-5)$

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

Which representation has the same rate of change of $y$ with respect to $x$ as the equation $x+$ $2 y=6$ ? (A) $y=-\frac{1}{2} x+2$

Darin's great aunt lives in a retirement home. Darin visits her to help plant green beans in a garden. So far they have planted 6 rows with 72 green bean stalks. They plant the same number of green bean stalks in each row.
What is the constant of proportionality in this relationship? 6 12 72 78

Write the coordinates of the vertices after a translation 2 units left. $K^{\prime}(\square, \square)$

4. $\begin{array}{l} m \angle P= \\ m \angle Q= \\ m \angle R= \end{array}$

2. A 30-1b cocker spaniel is to get a ketamine and diazepam induction IV, and the dose is $0.025 \mathrm{~mL} / \mathrm{lb}$ for each. How much ketamine and diazepam will you draw up?

2.5
Use the equality test for fractions to determine if the fractions are equal. $\text { 15) } \frac{4 ? 22}{6}$ A) Yes B) No No answer text provided. No answer text provided.

Convert. 22) $7 \mathrm{~mL}=$ $\qquad$ L A) 0.007 L B) 7.0 L C) 700 L D) 0.07 L

29) Perform the operations indicated $18.85+71.23+13.063$ A) 103.143 B) 104.243 C) 105.153 D) 104.143

Ms. Driva Reck drove from her home to a service station at $48 \mathrm{~km} / \mathrm{h}$ . She returned home by bicycle at $16 \mathrm{~km} / \mathrm{h}$ . The entire trip took 4 hours. How far was the service station from Ms. Reck's home?

Question 34
Divide. 34) $5.3346 / 1.02$ A) 0.19578 B) 0.5783 C) 52.3 D) 5.23

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. $y=-x^{2}+6 x$

$f(x)=2 x^{3}+15 x^{2}+4 x-21$
Identify the $y$ -intercept of the function. $-21$
Identify all real roots. Use commas to separate $\square$

Henry bought $\frac{5}{6}$ pound of roasted almonds for $\$ 5$ . He wants to know the price per pound.
What is the price per pound?

Solve the system of linear equations by elimination. $\begin{array}{l} x+y=2 \\ 2 x+7 y=9 \end{array}$

Jasmine paid $\$ 10$ for $\frac{5}{8}$ yard of fabric to make a pillow. She wants to know the price of 4 yards of the same fabric so that she can make a quilt.
What is the price per yard of the fabric?

Solve for $v$ . $\frac{v}{5}=75$
Simplify your answer as much as possible.

Solve for $v$ . $\frac{v}{5}=75$
Simplify your answer as much as possible. $v=$

Find the slope and the $y$ -intercept of the line with the following equation. $y=\frac{6}{7} x-6$