Solve

Problem 26401

Luis is learning to play traditional Spanish guitar from his grandfather. The table shows the total number of hours he practiced over 3 days.
Complete each statement.
Luis practiced ______ hours on day 1.
Days | Practice Time (h) ------- | -------- 1 | 1.5 2 | 3.0 3 | 4.5

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Problem 26402

What is the least value for integer $x$ such that $x, x+5$ , and $2 x-15$ can be the lengths of the sides of a triangle?
The smallest integer $x$ is $\square$
ANSWER Use the toolbar to enter Basic Trig/log $a \beta y$

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Problem 26403

6) $7 v+8(7 v-8)=-379$

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Problem 26404

Determine la antiderivada para $f^{\prime}(x)=\frac{5}{x^{3}}-\frac{2}{x}$

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Problem 26405

Fill in the blank. ABCD is \_\_\_\_\_ a parallelogram. definitely not possibly

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Problem 26406

$x \cdot \log_{x} 12 = \log_{x} 75 - 2$

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Problem 26407

Suppose that the functions $g$ and $h$ are defined as follows. $\begin{array}{l} g(x)=x+7 \\ h(x)=(x-6)(x+6) \end{array}$ (a) Find $\left(\frac{g}{h}\right)$ (2). (b) Find all values that are NOT in the domain of $\frac{g}{h}$ .
If there is more than one value, separate them with commas. (a) $\left(\frac{g}{h}\right)(2)=$ $\square$ (b) Value(s) that are NOT in the domain of $\frac{g}{h}$ :

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Problem 26408

In 6-14, solve each equation.
6. $t-\frac{2}{3}=25 \frac{3}{4}$

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Problem 26409

8. $13.27=t-24.45$

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Problem 26410

Marta paid \$30 for 3 shirts and got \$6.03 change. What is the cost of each shirt? A. \$23.97 B. \$6.99 C. \$7.99 D. \$8.32

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Problem 26411

Calculate the drip rate in gtt/min for a fluid volume of $V = 100 \, \text{mL}$ infused over $T = 30 \, \text{minutes}$ with $D = 10 \, \text{gtt/mL}$ .

See Solution

Problem 26412

Flora bought 4 pizzas at \$11.95 each and paid \$3.20 for delivery. What is her total cost?

See Solution

Problem 26413

Find the hypotenuse of a right triangle with legs $a=16$ and $b=30$ . What is its length in units?

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Problem 26414

Calculate the infusion rate in drops per minute (gtt/min) for $500 \mathrm{mg}$ ampicillin in $100 \mathrm{~mL}$ over 30 minutes with a drop factor of $10 \mathrm{gtt}/\mathrm{mL}$ .

See Solution

Problem 26415

What number is 28% of if 48% of 28 equals that number? A) 3.76 B) 13 C) 48 D) 58.3

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Problem 26416

Calculate: $\frac{5}{6}-\frac{1}{5}=$

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Problem 26417

What is the sum of $\frac{1}{10}$ and $\frac{5}{8}$ ?

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Problem 26418

The equation is $10z + 4 = 144$ . Solve for $z$ to find the number.

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Problem 26419

Find the hypotenuse of a right triangle with legs $a=20$ and $b=48$ .

See Solution

Problem 26420

Evaluate $b - 2y$ for $b = -3$ and $y = 3$ .

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Problem 26421

When $20.4 \mathrm{~g}$ of carbon reacts with oxygen, $11.6 \mathrm{~g}$ of oxygen remains. Find the mass of carbon dioxide produced.

See Solution

Problem 26422

Calculate $6 \frac{3}{4}+2 \frac{4}{5}$ .

See Solution

Problem 26423

Find the dimensions of a rectangular garden that is $20 \mathrm{ft}$ longer than its width and has an area of $4125 \mathrm{ft}^{2}$ .

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Problem 26424

Let the number of ten dollar bills be $x$ . Then, the number of five dollar bills is $2x$ . Solve for $x$ given $5(2x) + 10(x) = 720$ . How many ten's are there?

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Problem 26425

Juan bought a \$ 16,100 truck, paid \$ 4,100 down, and took a loan with \$ 265.62 monthly for 4 years. Find: (a) Total cost of the truck. (b) Interest paid on the loan.

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Problem 26426

A rectangular room's width is 2 times its length, with a perimeter of 28 m. Find the dimensions rounded to two decimal places.

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Problem 26427

Juan rented a truck for \$18.99 plus \$0.76 per mile. He paid \$111.71 total. How many miles did he drive?

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Problem 26428

Find the derivative of the implicit function: $y^2 + \sin y + x + y + y \sin x + y \sin y + \cos(y^2 + 1) + \sin y + x^2 + 4y = \cos x$ and $3xy^2 + \cos y^2 = 2x^3 + 5$ and $\tan(5y) - y \sin x + 3xy^2 = 9$ .

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Problem 26429

Solve for $t$ using the square root property: $2 t^{2}-45=-19$ . Find $t=$ .

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Problem 26430

Find leg $x$ in a right triangle with sides 18 and 9. $x$ is a leg, not the hypotenuse.

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Problem 26431

Complete the square for the equation $p^{2}+14 p-33=10$ . Write it as $(p-a)^{2}=b$ and find $p=$ .

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Problem 26432

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula and list solutions in simplest radical form.

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Problem 26433

How many unique ways can 5 friends sit in a row of 6 seats?

See Solution

Problem 26434

How many unique 3-digit numbers with non-repeating digits are divisible by 5?

See Solution

Problem 26435

If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.

See Solution

Problem 26436

Solve: $\sqrt{-1 x+68}=x-12$ . Find $x=$ (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

See Solution

Problem 26437

Solve for $x$ : $x^{3/5} = 8$

See Solution

Problem 26438

Solve $a^{2}=15 a-56$ . Find $a=$ . If multiple solutions, separate with a comma.

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Problem 26439

Solve the equation $3 r^{3}-12 r=-2 r^{2}+8$ for real values of $r$ . Provide answers as integers or simplified fractions, separated by commas.

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Problem 26440

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

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Problem 26441

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: $x + 2(x + 2) = (x + 4) + 20$ .

See Solution

Problem 26442

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

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Problem 26443

Solve the quadratic $p^{2}+14 p-33=10$ by completing the square. Give the equation as $(p-a)^{2}=b$ and list solutions.

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Problem 26444

Find the six trigonometric function values for the angle $420^{\circ}$ . Calculate $\sin 420^{\circ}=$ .

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Problem 26445

Find the derivative $f^{\prime}(x)$ of the function $f(x)=9x-2$ .

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Problem 26446

Find the six trigonometric functions for the angle $420^{\circ}$ .

See Solution

Problem 26447

Find the leg length $x$ in a right triangle with one leg 18 and hypotenuse 9.

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Problem 26448

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula. Provide solutions in simplest radical form.

See Solution

Problem 26449

Find $f(64)$ given the function $f(x)=9 \sqrt{x}$ . What is $f(64)=?$

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Problem 26450

Calculate $5.9 \times 10^{-2} - 0.078 \times 10^{3}$ .

See Solution

Problem 26451

Find the six trigonometric function values for the angle $-1650^{\circ}$ . Calculate $\sin \left(-1650^{\circ}\right)$ .

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Problem 26452

In Amanda's class, the ratio of students with widow's peaks to those without is 3:2. With 35 students, how many lack widow's peaks? $\frac{3}{2} w p=35$

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Problem 26453

Find $f(10)$ for the function $f(x)=5x+x^{2}+10$ . What is $f(10)$ ?

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Problem 26454

Calculate the product of $1.08 \times 10^{-3}$ and $9.3 \times 10^{-3}$ .

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Problem 26455

Find $f(5.75)$ using the function $f(x)=\frac{5.98}{x}$ . Provide the answer as a decimal or whole number.

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Problem 26456

Convert the number $86_{\text{twelve}}$ to decimal.

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Problem 26457

Find when the water ride height $y=3 \sin \left(\frac{\pi}{2}(x+3)-2\right)$ is 1 foot below the start in $0<x<5$ .

See Solution

Problem 26458

In a class of 32 students with a junior to senior ratio of 5:3, how many are seniors? (A) 3 (B) 8 (C) 9 (D) 1 (E) 20

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Problem 26459

Find the leg $x$ of a right triangle with hypotenuse 18 and other leg 9. Provide the exact value. $x=$

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Problem 26460

Find the exact value of $\cot (-855)^{\circ}$ . Simplify your answer, including radicals, using integers or fractions.

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Problem 26461

Find the exact value of $\sin 1020^{\circ}$ . Simplify your answer with integers, fractions, or radicals.

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Problem 26462

Morgan's new balance after a \$600 purchase with a 10.99% APR and 4.5% minimum payment is needed. Round to the nearest cent.

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Problem 26463

Find $f(34.58)$ using the rule $f(x)=0.07 \sqrt{38.58-x}$ . What is $f(34.58)$ ?

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Problem 26464

Morgan's new balance after a \$600 purchase on a card with 20.99\% APR and 4\% minimum payment is needed.

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Problem 26465

Gina's credit card has an APR of 18.99% and a limit of \$1600. If she buys \$200, what is her minimum payment at month-end?

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Problem 26466

Evaluate $\cos ^{2} 30^{\circ}+\sec ^{2} 150^{\circ}-\csc ^{2} 210^{\circ}$ and simplify your answer.

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Problem 26467

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta=\frac{1}{2}$ . What are the values of $\theta$ ?

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Problem 26468

Find $\tan \theta$ given $\sin \theta=\frac{1}{4}$ and $\cos \theta=\frac{\sqrt{15}}{4}$ .

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Problem 26469

Find the height of a tree that casts a 26m shadow with a sun angle of elevation of $24^{\circ}$ . Options: 10m, 11m, 12m, 13m.

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Problem 26470

Solve the equation $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ .

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Problem 26471

Solve $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ . Options include $\frac{\pi}{3}, \pi$ .

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Problem 26472

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\csc \theta=\frac{2 \sqrt{3}}{3}$ .

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Problem 26473

Find $\tan A$ in triangle $ABC$ (right angle at $C$ ) with sides $a=6$ and $b=7$ . Provide exact answers.

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Problem 26474

Find $\cos \theta$ for the point (15,20) on the terminal side of angle $\theta$ . Options: $\frac{4}{5}$ , $\frac{3}{5}$ , $\frac{3}{4}$ , $\frac{4}{3}$ .

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Problem 26475

Find the exact value of $\cot \left(\frac{\pi}{2}-\theta\right)$ if $\tan \theta=7$ .

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Problem 26476

Find $\sin \theta$ for the point (6,8) on the terminal side of angle $\theta$ . Options: $\frac{4}{5}$ , $\frac{3}{5}$ , $\frac{4}{3}$ , $\frac{3}{4}$ .

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Problem 26477

Find the exact value of $\csc \frac{\pi}{6}$ without a calculator. Options: $\sqrt{2}$ , $\frac{2 \sqrt{3}}{3}$ , 2, $\frac{1}{2}$ .

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Problem 26478

Find $\sin A$ for right triangle $\mathrm{ABC}$ with sides $a=5$ and $b=3$ . Exact answers only.

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Problem 26479

Find $\sin \theta$ for the point (6,8) on the terminal side of angle $\theta$ . Choices: $\frac{4}{5}$ , $\frac{3}{5}$ , $\frac{4}{3}$ , $\frac{3}{4}$ .

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Problem 26480

Find the exact value of $\sin 405^{\circ}$ using a coterminal angle without a calculator. Options: $\frac{\sqrt{2}}{2}$ , $-\frac{\sqrt{2}}{2}$ , $\frac{1}{2}$ , $-\frac{1}{2}$ .

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Problem 26481

Solve for $\theta$ in the equation $2 \sin (\theta) = 0.651$ . What are the steps?

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Problem 26482

Find the exact value of $\sec \frac{9 \pi}{4}$ using a coterminal angle without a calculator. Options: $\frac{\sqrt{2}}{2}$ , $\frac{2 \sqrt{3}}{3}$ , $\sqrt{2}$ , 2.

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Problem 26483

Find the exact value of $\sec \left(\frac{\pi}{2}-\theta\right)$ if $\tan \theta=2$ . Choices: $\sqrt{5}$ , $\frac{\sqrt{5}}{2}$ , 2, $\frac{1}{2}$ .

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Problem 26484

Solve for $\theta$ in the equation $2 \sin (\theta) = 0.651$ .

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Problem 26485

Find $\cos A$ for a right triangle with sides $a=5$ and $b=2$ . Provide the exact answer with a rational denominator.

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Problem 26486

Find the exact value of $\tan \theta$ for the point (7, -3). Options: $-\frac{3}{8}$ , $\frac{7}{8}$ , $-\frac{3}{7}$ , $-\frac{7}{3}$ .

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Problem 26487

Convert $52.4_{8}$ (octal) to decimal (base ten).

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Problem 26488

Calculate the value of $1 - \sin^2 30^{\circ} - \sin^2 60^{\circ}$ without a calculator. Options: $\frac{1-\sqrt{3}}{2}$ , 1, 0, $\frac{1}{4}$ .

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Problem 26489

Find $\cot \theta$ if $\cos \theta=\frac{3 \sqrt{10}}{10}$ .

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Problem 26490

Find the time $t$ for a block to slide down an incline with base $a=12$ and angle $\theta=45^{\circ}$ using $t=\sqrt{\frac{2 a}{g \sin \theta \cos \theta}}$ .

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Problem 26491

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

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Problem 26492

Solve for $0^{\circ} \leq \theta < 360^{\circ}$ where $\cos \theta = \frac{1}{2}$ . What are the values of $\theta$ ?

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Problem 26493

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

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Problem 26494

Find the exact value of $\csc \theta$ given $\sin \theta=\frac{1}{4}$ and $\cos \theta=\frac{\sqrt{15}}{4}$ .

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Problem 26495

Find the value of $\cot A$ in triangle $ABC$ where $b=5$ and $c=6$ . Provide exact answers with rational denominators.

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Problem 26496

Find the length of side $a$ in triangle $ABC$ with $b=13.5$ , $c=8.9$ , and $\angle A = 29^{\circ}$ .

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Problem 26497

Find the length of a guy wire attached 10 ft from the top of a 230 ft tower at a $32^{\circ}$ angle. Round to the nearest tenth.

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Problem 26498

Solve the system: 3x + 5y = -7 and 14x - 9y = 32. Choose from (2,1), (-2,1), (1,-2), (1,2).

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Problem 26499

Find the radian measure of a $300^{\circ}$ angle: $\frac{3 \pi}{5}$ , $\frac{5 \pi}{3}$ , $2 \pi$ , $150 \pi$ .

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Problem 26500

Find the distance between two cars below a 1000-foot cliff with angles of depression $21^{\circ}$ and $28^{\circ}$ .

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1 ...262 263 264 265 266 267 268 ...308

Solve

Problem 26401

Luis is learning to play traditional Spanish guitar from his grandfather. The table shows the total number of hours he practiced over 3 days.Complete each statement.Luis practiced ______ hours on day 1.Days | Practice Time (h) ------- | -------- 1 | 1.5 2 | 3.0 3 | 4.5

Problem 26402

What is the least value for integer xxx such that x,x+5x, x+5x,x+5, and 2x−152 x-152x−15 can be the lengths of the sides of a triangle?The smallest integer xxx is □\square□ANSWER Use the toolbar to enter Basic Trig/log aβya \beta yaβy

Problem 26403

6) 7v+8(7v−8)=−3797 v+8(7 v-8)=-3797v+8(7v−8)=−379

Problem 26404

Determine la antiderivada para f′(x)=5x3−2xf^{\prime}(x)=\frac{5}{x^{3}}-\frac{2}{x}f′(x)=x35​−x2​

Problem 26405

Fill in the blank. ABCD is \_\_\_\_\_ a parallelogram. definitely not possibly

Problem 26406

x⋅log⁡x12=log⁡x75−2x \cdot \log_{x} 12 = \log_{x} 75 - 2x⋅logx​12=logx​75−2

Problem 26407

Problem 26408

In 6-14, solve each equation.6. t−23=2534t-\frac{2}{3}=25 \frac{3}{4}t−32​=2543​

Problem 26409

8. 13.27=t−24.4513.27=t-24.4513.27=t−24.45

Problem 26410

Marta paid \$30 for 3 shirts and got \$6.03 change. What is the cost of each shirt? A. \$23.97 B. \$6.99 C. \$7.99 D. \$8.32

Problem 26411

Calculate the drip rate in gtt/min for a fluid volume of V=100 mLV = 100 \, \text{mL}V=100mL infused over T=30 minutesT = 30 \, \text{minutes}T=30minutes with D=10 gtt/mLD = 10 \, \text{gtt/mL}D=10gtt/mL.

Problem 26412

Flora bought 4 pizzas at \$11.95 each and paid \$3.20 for delivery. What is her total cost?

Problem 26413

Find the hypotenuse of a right triangle with legs a=16a=16a=16 and b=30b=30b=30. What is its length in units?

Problem 26414

Calculate the infusion rate in drops per minute (gtt/min) for 500mg500 \mathrm{mg}500mg ampicillin in 100 mL100 \mathrm{~mL}100 mL over 30 minutes with a drop factor of 10gtt/mL10 \mathrm{gtt}/\mathrm{mL}10gtt/mL.

Problem 26415

What number is 28% of if 48% of 28 equals that number? A) 3.76 B) 13 C) 48 D) 58.3

Problem 26416

Calculate: 56−15=\frac{5}{6}-\frac{1}{5}=65​−51​=

Problem 26417

What is the sum of 110\frac{1}{10}101​ and 58\frac{5}{8}85​?

Problem 26418

The equation is 10z+4=14410z + 4 = 14410z+4=144. Solve for zzz to find the number.

Problem 26419

Find the hypotenuse of a right triangle with legs a=20a=20a=20 and b=48b=48b=48.

Problem 26420

Evaluate b−2yb - 2yb−2y for b=−3b = -3b=−3 and y=3y = 3y=3.

Problem 26421

When 20.4 g20.4 \mathrm{~g}20.4 g of carbon reacts with oxygen, 11.6 g11.6 \mathrm{~g}11.6 g of oxygen remains. Find the mass of carbon dioxide produced.

Problem 26422

Calculate 634+2456 \frac{3}{4}+2 \frac{4}{5}643​+254​.

Problem 26423

Find the dimensions of a rectangular garden that is 20ft20 \mathrm{ft}20ft longer than its width and has an area of 4125ft24125 \mathrm{ft}^{2}4125ft2.

Problem 26424

Let the number of ten dollar bills be xxx. Then, the number of five dollar bills is 2x2x2x. Solve for xxx given 5(2x)+10(x)=7205(2x) + 10(x) = 7205(2x)+10(x)=720. How many ten's are there?

Problem 26425

Juan bought a \$ 16,100 truck, paid \$ 4,100 down, and took a loan with \$ 265.62 monthly for 4 years. Find: (a) Total cost of the truck. (b) Interest paid on the loan.

Problem 26426

A rectangular room's width is 2 times its length, with a perimeter of 28 m. Find the dimensions rounded to two decimal places.

Problem 26427

Juan rented a truck for \$18.99 plus \$0.76 per mile. He paid \$111.71 total. How many miles did he drive?

Problem 26428

Problem 26429

Solve for ttt using the square root property: 2t2−45=−192 t^{2}-45=-192t2−45=−19. Find t=t=t=.

Problem 26430

Find leg xxx in a right triangle with sides 18 and 9. xxx is a leg, not the hypotenuse.

Problem 26431

Complete the square for the equation p2+14p−33=10p^{2}+14 p-33=10p2+14p−33=10. Write it as (p−a)2=b(p-a)^{2}=b(p−a)2=b and find p=p=p=.

Problem 26432

Solve the equation 4m2−3m−2=04 m^{2}-3 m-2=04m2−3m−2=0 using the quadratic formula and list solutions in simplest radical form.

Problem 26433

How many unique ways can 5 friends sit in a row of 6 seats?

Problem 26434

How many unique 3-digit numbers with non-repeating digits are divisible by 5?

Problem 26435

If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.

Problem 26436

Solve: −1x+68=x−12\sqrt{-1 x+68}=x-12−1x+68​=x−12. Find x=x=x= (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

Problem 26437

Solve for xxx: x3/5=8x^{3/5} = 8x3/5=8

Problem 26438

Solve a2=15a−56a^{2}=15 a-56a2=15a−56. Find a=a=a=. If multiple solutions, separate with a comma.

Problem 26439

Solve the equation 3r3−12r=−2r2+83 r^{3}-12 r=-2 r^{2}+83r3−12r=−2r2+8 for real values of rrr. Provide answers as integers or simplified fractions, separated by commas.

Problem 26440

Solve for xxx: 12<−14(x+3)<1512 < -14(x+3) < 1512<−14(x+3)<15. Type DNE if no solution exists. Provide your answer in interval notation.

Problem 26441

Luis is learning to play traditional Spanish guitar from his grandfather. The table shows the total number of hours he practiced over 3 days.
Complete each statement.
Luis practiced ______ hours on day 1.
Days | Practice Time (h) ------- | -------- 1 | 1.5 2 | 3.0 3 | 4.5

What is the least value for integer $x$ such that $x, x+5$ , and $2 x-15$ can be the lengths of the sides of a triangle?
The smallest integer $x$ is $\square$
ANSWER Use the toolbar to enter Basic Trig/log $a \beta y$

6) $7 v+8(7 v-8)=-379$

Determine la antiderivada para $f^{\prime}(x)=\frac{5}{x^{3}}-\frac{2}{x}$

$x \cdot \log_{x} 12 = \log_{x} 75 - 2$

In 6-14, solve each equation.
6. $t-\frac{2}{3}=25 \frac{3}{4}$

8. $13.27=t-24.45$

Calculate the drip rate in gtt/min for a fluid volume of $V = 100 \, \text{mL}$ infused over $T = 30 \, \text{minutes}$ with $D = 10 \, \text{gtt/mL}$ .

Find the hypotenuse of a right triangle with legs $a=16$ and $b=30$ . What is its length in units?

Calculate the infusion rate in drops per minute (gtt/min) for $500 \mathrm{mg}$ ampicillin in $100 \mathrm{~mL}$ over 30 minutes with a drop factor of $10 \mathrm{gtt}/\mathrm{mL}$ .

Calculate: $\frac{5}{6}-\frac{1}{5}=$

What is the sum of $\frac{1}{10}$ and $\frac{5}{8}$ ?

The equation is $10z + 4 = 144$ . Solve for $z$ to find the number.

Find the hypotenuse of a right triangle with legs $a=20$ and $b=48$ .

Evaluate $b - 2y$ for $b = -3$ and $y = 3$ .

When $20.4 \mathrm{~g}$ of carbon reacts with oxygen, $11.6 \mathrm{~g}$ of oxygen remains. Find the mass of carbon dioxide produced.

Calculate $6 \frac{3}{4}+2 \frac{4}{5}$ .

Find the dimensions of a rectangular garden that is $20 \mathrm{ft}$ longer than its width and has an area of $4125 \mathrm{ft}^{2}$ .

Let the number of ten dollar bills be $x$ . Then, the number of five dollar bills is $2x$ . Solve for $x$ given $5(2x) + 10(x) = 720$ . How many ten's are there?

Solve for $t$ using the square root property: $2 t^{2}-45=-19$ . Find $t=$ .

Find leg $x$ in a right triangle with sides 18 and 9. $x$ is a leg, not the hypotenuse.

Complete the square for the equation $p^{2}+14 p-33=10$ . Write it as $(p-a)^{2}=b$ and find $p=$ .

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula and list solutions in simplest radical form.

Solve: $\sqrt{-1 x+68}=x-12$ . Find $x=$ (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

Solve for $x$ : $x^{3/5} = 8$

Solve $a^{2}=15 a-56$ . Find $a=$ . If multiple solutions, separate with a comma.

Solve the equation $3 r^{3}-12 r=-2 r^{2}+8$ for real values of $r$ . Provide answers as integers or simplified fractions, separated by commas.

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: $x + 2(x + 2) = (x + 4) + 20$ .

Solve the quadratic $p^{2}+14 p-33=10$ by completing the square. Give the equation as $(p-a)^{2}=b$ and list solutions.

Find the six trigonometric function values for the angle $420^{\circ}$ . Calculate $\sin 420^{\circ}=$ .

Find the derivative $f^{\prime}(x)$ of the function $f(x)=9x-2$ .

Find the six trigonometric functions for the angle $420^{\circ}$ .

Find the leg length $x$ in a right triangle with one leg 18 and hypotenuse 9.

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula. Provide solutions in simplest radical form.

Find $f(64)$ given the function $f(x)=9 \sqrt{x}$ . What is $f(64)=?$

Calculate $5.9 \times 10^{-2} - 0.078 \times 10^{3}$ .

Find the six trigonometric function values for the angle $-1650^{\circ}$ . Calculate $\sin \left(-1650^{\circ}\right)$ .

In Amanda's class, the ratio of students with widow's peaks to those without is 3:2. With 35 students, how many lack widow's peaks? $\frac{3}{2} w p=35$

Find $f(10)$ for the function $f(x)=5x+x^{2}+10$ . What is $f(10)$ ?

Calculate the product of $1.08 \times 10^{-3}$ and $9.3 \times 10^{-3}$ .

Find $f(5.75)$ using the function $f(x)=\frac{5.98}{x}$ . Provide the answer as a decimal or whole number.

Convert the number $86_{\text{twelve}}$ to decimal.

Find when the water ride height $y=3 \sin \left(\frac{\pi}{2}(x+3)-2\right)$ is 1 foot below the start in $0<x<5$ .

Find the leg $x$ of a right triangle with hypotenuse 18 and other leg 9. Provide the exact value. $x=$

Find the exact value of $\cot (-855)^{\circ}$ . Simplify your answer, including radicals, using integers or fractions.

Find the exact value of $\sin 1020^{\circ}$ . Simplify your answer with integers, fractions, or radicals.

Find $f(34.58)$ using the rule $f(x)=0.07 \sqrt{38.58-x}$ . What is $f(34.58)$ ?

Evaluate $\cos ^{2} 30^{\circ}+\sec ^{2} 150^{\circ}-\csc ^{2} 210^{\circ}$ and simplify your answer.

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta=\frac{1}{2}$ . What are the values of $\theta$ ?

Find $\tan \theta$ given $\sin \theta=\frac{1}{4}$ and $\cos \theta=\frac{\sqrt{15}}{4}$ .

Find the height of a tree that casts a 26m shadow with a sun angle of elevation of $24^{\circ}$ . Options: 10m, 11m, 12m, 13m.

Solve the equation $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ .

Solve $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ . Options include $\frac{\pi}{3}, \pi$ .

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\csc \theta=\frac{2 \sqrt{3}}{3}$ .

Find $\tan A$ in triangle $ABC$ (right angle at $C$ ) with sides $a=6$ and $b=7$ . Provide exact answers.

Find $\cos \theta$ for the point (15,20) on the terminal side of angle $\theta$ . Options: $\frac{4}{5}$ , $\frac{3}{5}$ , $\frac{3}{4}$ , $\frac{4}{3}$ .