Expression

Problem 11401

Calculate $\left(\frac{7}{9}-\frac{7}{12}\right) \div \frac{1}{6}$ .

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Problem 11402

Calculate $\frac{10}{3} \cdot\left(\frac{11}{9}-\frac{7}{9}\right)$ .

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Problem 11403

Calculate $-\frac{2}{7} \div \frac{1}{3} \cdot \frac{2}{3}$ .

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Problem 11404

Calculate $\frac{1}{2} \cdot\left(\frac{10}{9}+\frac{5}{9}\right)$ .

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Problem 11405

Calculate $-\frac{2}{5} \div -\frac{4}{15} \cdot \frac{4}{5}$ .

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Problem 11406

Simplify $\frac{x^{4}}{x^{7}}$ using positive exponents. What is the answer?

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Problem 11407

Factor the quadratic expression $x^{2}+12 x+27$ .

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Problem 11408

Simplify: $\frac{5 x}{x^{2}+3 x-4}-\frac{x+1}{x-1}$

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Problem 11409

Find the mass number of xenon with 54 protons and 75 neutrons. Use the formula: mass number = protons + neutrons.

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Problem 11410

What fraction of \$1.00 is \$2.80? Express your answer as a fraction.

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Problem 11411

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ . Distance $=$

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Problem 11412

Find the protons $(p)$ and electrons $(e)$ in $\mathrm{N}^{3}$ . A) $10 p, 7 e$ B) $7 p, 10 e$ C) $7 p, 7 e$ D) $7 p, 9 e$ E) $10 p, 10 e$

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Problem 11413

Simplify the expression: $\frac{3 m^{-4}}{m^{3}}$ .

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Problem 11414

What is the name of the compound $\mathrm{PCl}_{3}$ ?

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Problem 11415

Find the area of a parallelogram tile with a base of 4 inches and a height of 2.5 inches. Use the formula $A = b \cdot h$ .

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Problem 11416

Simplify the expression $\left(\frac{x^{2} y^{0} x^{-4} y^{4}}{\left(x^{-4} y^{2}\right)^{2}}\right)^{-3}$ .

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Problem 11417

Simplify the expression: $\frac{4 x^{0} y^{-2} z^{3}}{4 x}$ .

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Problem 11418

Find the slope between the points $(-6,8)$ and $(-1,9)$ . Calculate $m=$

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Problem 11419

Simplify the expression: $\frac{2 x^{4} y^{-1} \cdot\left(2 x^{3}\right)^{2}}{2 x^{-4} y^{2}}$ .

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Problem 11420

Simplify the expression: $\frac{x^{-5} \cdot(x y)^{4}}{\left(y^{-4}\right)^{4}}$

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Problem 11421

Calculate the weight of the water molecule $\mathrm{H}_{2} \mathrm{O}$ using atomic weights: $\mathrm{H} = 1.008$ , $\mathrm{O} = 15.999$ . Round to nearest whole number.

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Problem 11422

Identify the integer for each situation and explain what 0 signifies:
1. Team loses 10 yards: integer -10, 0 means no yardage change.
2. Point in Yuma is 70 feet above sea level: integer 70, 0 means sea level.
3. Temperature is 40 degrees below zero: integer -40, 0 means freezing point.
4. Larry withdraws \$30: integer -30, 0 means no money change.
5. Tricia's golf score is 7 below par: integer -7, 0 means par score.
6. Chlorine ion has one more electron than proton: integer 1, 0 means equal protons and electrons.

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Problem 11423

Estimate the standard deviation $s$ using the range rule of thumb for heights from $160.0 \mathrm{~cm}$ to $196.4 \mathrm{~cm}$ . $s = \square \mathrm{cm}$

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Problem 11424

For 203 female heights with a mean of 64.1 in. and SD of 2.7 in., find the $z$ -score for 58 in. and check for outliers.

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Problem 11425

Find the slope of the line through $(-3,5)$ and $(6,2)$ , or state if it's undefined. Is it rising, falling, horizontal, or vertical?

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Problem 11426

Estimate the distance Earth travels in 60 seconds at a speed of 18.6 miles per second. Use $d = rt$ .

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Problem 11427

Find $-(-3)$ using a number line. Graph 3, then its opposite, and finally the opposite of that number. What is the value?

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Problem 11428

Calculate the area of a triangle with base 6 units and height 5 units using the formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$ .

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Problem 11429

Find the area of a rectangle with length 7 units and width 9 units. Simplify your answer: $A = l \times w$ .

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Problem 11430

Juanito bought six items for \$0.24, \$0.32, \$0.41, \$0.36, \$0.21, and \$0.05. What is his total spending?

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Problem 11431

Calculate the value of $\sqrt{0.00001 \times 128}$ .

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Problem 11432

Find the percent increase in population from 59,932 in 1990 to 99,470 in 2020. Round to the nearest percent.

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Problem 11433

Convert the following fractions to decimals and check if they are terminating: $\frac{5}{8}$ , $-\frac{3}{4}$ , $\frac{2}{9}$ .

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Problem 11434

Calculate the value of $5+\sqrt{108}$ .

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Problem 11435

Calculate the total cost for 1 to 4 rounds of mini-golf at \$4.50 each. Explain the cost ratio for the rounds.

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Problem 11436

Simplify the fraction using positive exponents: $(3 k^{3})^{3} / (5 k^{6})$ .

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Problem 11437

Simplify the fraction with positive exponents: $\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}$ .

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Problem 11438

Simplify the expression: $\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}$ to find the result in terms of $a$ .

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Problem 11439

Simplify the fraction with positive exponents: $\frac{5 r^{8}}{5\left(r^{2}\right)^{2}}$ .

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Problem 11440

Evaluate the integral from 0 to 1: $\int_{0}^{1} \sqrt{x^{2}+1} \, dx$ .

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Problem 11441

Find the slope of the line through points $(-5,3)$ and $(3,6)$ and state if it rises, falls, is horizontal, or vertical.

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Problem 11442

四边形 $A B C D$ 中， $\angle D A B=\angle C B A=90^{\circ}$ ，若 $A D=6, B C=10$ ，求 $\triangle A D E$ 的面积。

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Problem 11443

Write the expression $x^{\frac{1}{4}}$ in radical form.

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Problem 11444

How many ways can you choose 5 chips from 140, containing exactly 1 nonconforming chip (10 total nonconforming)?

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Problem 11445

Find the slope of the line through points $(-5,2)$ and $(3,5)$ , and describe its direction (rises, falls, horizontal, vertical).

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Problem 11446

How do you find the area of rectangles with these dimensions: 5x3, 8x2, 9x1, 4x3, and 9x4?

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Problem 11447

How many ways can you select a sample of 5 chips from 140, containing exactly 1 nonconforming chip out of 10?

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Problem 11448

Find the slope of the line through points $(-1,-2)$ and $(-5,-6)$ , and describe its direction (rises, falls, horizontal, vertical).

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Problem 11449

Calculate the slope of the line through points $(-1,2)$ and $(4,5)$ ; state if it rises, falls, horizontal, or vertical.

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Problem 11450

Simplify the fraction with positive exponents: $\frac{4(a)^{2}}{4 a^{5}}$ .

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Problem 11451

Calculate the slope between points $(-5,2)$ and $(6,6)$ ; state if it's undefined and describe the line's direction.

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Problem 11452

Simplify the expression: $(2 v^{2}-8 v^{3}+2 v^{4})-(6 v^{3}+7 v+6 v^{4})$

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Problem 11453

Determine the slope of the line through points $(-7,4)$ and $(5,-8)$ and describe its direction (rises, falls, horizontal, vertical).

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Problem 11454

Тэгш өнцөгтний талбайг олж, бүхлээр тоймло: 2.23м ; өргөн 1.69м. A. 3.5 b. 5 c. 3 d. 4

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Problem 11455

Үсэгт илэрхийллийг бодож олно уУ? $y=8$ бол $2y(y+5)-2y(y+2)=$ A. -16 b. 12 c. d. 48

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Problem 11456

How many electrons does bromine ( $\mathrm{Br}$ ) have? Options: 34, 7, 4, 36.

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Problem 11457

A skydiver falls at 176 feet/second. Calculate his fall speed in feet/minute.

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Problem 11458

Water weighs 8.34 pounds per gallon. How many ounces per gallon is that? (1 gallon = 128 ounces)

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Problem 11459

Convert a go-kart's speed of 607,200 feet per hour to miles per hour.

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Problem 11460

A human's top speed is 27 miles per hour. Calculate miles per minute.

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Problem 11461

13. A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumstick costs $\$ 3$ . How many drumsticks does she have? What is the cost to replace them all?

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Problem 11462

12. At a music recital, there are 30 chairs. They are set up in 6 equal rows. Find the number of columns.

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Problem 11463

What is the area of this figure? $\square$ square kilometers

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Problem 11464

1 Amy's practice HH. 5 Area of complex figures Video 56:54
What is the area of this figure? $\square$ square centimeters

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Problem 11465

$63[4,424$

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Problem 11466

What is the next largest co-terminal angle for $140^{\circ}$ ? $180^{\circ}$ $40^{\circ}$ $240^{\circ}$ $360^{\circ}$ $500^{\circ}$

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Problem 11467

(2) What is the volume, in cubic feet, of the right rectangular prism shown by the net? Show your work.

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Problem 11468

21. $\lim _{x \rightarrow \infty} \frac{4-\sqrt{x}}{2+\sqrt{x}}$
23. $\lim _{x \rightarrow \infty} \frac{\sqrt{x+3 x^{2}}}{4 x-1}$

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Problem 11469

4) It took a pet store 10 weeks to sell 80 cats. What is the rate sold per week?

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Problem 11470

QUESTION ONE COMBINATIONAL CIRCUIT (5 mark)
i. Simplify and Implement the following Boolean expression $F(A, B, C, D) = \Sigma m(1, 3, 7, 11, 15) + \Sigma d(0, 2, 4)$ (2 mark) ii. Define all two subtractors types and design a full subtractor (3 mark)

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Problem 11471

Use the properties of logarithms to expand the following expression. $\log \left(y^{4} \sqrt[3]{x z^{2}}\right)$
Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive.

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Problem 11472

Ejercicio 2. Calcular el perímetro de las siguientes figuras: 2. 3.

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Problem 11473

Emily is making jewelry. Write an expression that shows how much it will cost Emily for the long-length chain, bracelet, and for $b$ beads that cost $\$0.30$ each. Then, find the total cost of the jewelry if Emily uses 22 beads.
Jewelry Length | Cost of Chain | Cost of Bracelet ---|---|---| Long | $\$2.50$ | $\$7.50$ Medium | $\$1.95$ | $\$3.75$ Short | $\$1.25$ | $\$2.49$
The total cost for a long-length jewelry using $b$ beads is $2.50 + 7.50 + 0.30b$ . (Use the operation symbols in the math palette as needed. Do not include the \$ symbol in your answer. Use whole numbers or decimals for any numbers in the expression.)
The total cost of the jewelry using 22 beads is $\$$ (Type a whole number or a decimal.)

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Problem 11474

Fractionville (MUST SHOW WORK) Evaluate & simplify: $-\frac{9}{4} + 3$

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Problem 11475

A variety of summary statistics were collected for a small sample of bivariate data, where the dependent variable was $y$ and an independent variable was $x$ . $\sum x = 90$ , $\sum y = 170$ , $n = 10$ , $\sum[(x - \overline{x})(y - \overline{y})] = 466$ , $\sum[(x - \overline{x})^2] = 234$ , and $\sum[(y-\overline{y})^2]$ Find $a$ . 0.928 -0.928 1.992 -1.992

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Problem 11476

Unt 9 Fractions Homewonk \#13
Solve Multi-Term Fraction Problems Estimate, then solve. Write your answer as a mixed number in simplest form. 3.) $7 \frac{3}{4}+1 \frac{2}{7}+\frac{3}{2}=$ 2.) $3 \frac{1}{6}+\frac{3}{4}+\frac{5}{6}=$ 7 $\square$
Sent + 4.) $9 \frac{5}{6}+1 \frac{1}{4}+\square=14$ $9 \frac{5}{6}$ $1 \frac{1}{a}$

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Problem 11477

Evaluate the expression.
$8 + 10 + [10 \div (10 \times 8 \div 8)]$

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Problem 11478

2. $-12\frac{3}{4} \div -2\frac{1}{4}=$

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Problem 11479

13. $11+(-3)-\frac{1}{8} j-\frac{3}{8} j+7$

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Problem 11480

What is the volume of this figure? 3 yd. 14 yd. 3 yd. 4 yd. 3 yd. 11 yd.

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Problem 11481

Select the correct answer from each drop-down menu. $\cos\left(\frac{7\pi}{12}\right) + \cos\left(\frac{\pi}{12}\right) =$ $\cos\left(\frac{7\pi}{12}\right) - \cos\left(\frac{\pi}{12}\right) =$ 0 0.35 0.71 -0.71

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Problem 11482

Question 12
Complete each sentence to simplify the expression $(-4 t-7)+(3 t+8)$ . a. $-4 t$ and $3 t$ have a sum of Select Choice $\square$ b. -7 and 8 have a sum of Select Choice $\square$ c. The expression written in simplified form is Select Choice $\square$ (D) Need help with this question?

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Problem 11483

Find the perimeter of the triangular hedge. $(8x - 9)$ ft $5x$ ft $(3x + 6)$ ft Perimeter: ______ feet

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Problem 11484

At the fast food restaurant, an order of fries costs \$1.20 and a drink costs \$0.96. How much would it cost to get 3 orders of fries and 5 drinks? How much would it cost to get $f$ orders of fries and $d$ drinks?
Answer Attempt 1 out of 2
Total cost, 3 orders of fries and 5 drinks:
Total cost, $f$ orders of fries and $d$ drinks:
Submit Answer

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Problem 11485

Evaluate $-6-(-9) \div 3$

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Problem 11486

Which expression is equivalent to $\frac{(8 \cdot 10^{-5}) + (6 \cdot 10^{-5})}{5.6 \cdot 10^{-3}}$ ?
A. $2.5 \cdot 10^{-7}$ B. $2.5 \cdot 10^{-2}$ C. $2.5 \cdot 10^{8}$ D. $2.5 \cdot 10^{-8}$

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Problem 11487

Evaluate the following expression $\log_{8}9$

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Problem 11488

$\text{In the bleachers at the basketball game, } \frac{1}{4} \text{ of the fans are adult men, and } \frac{5}{12} \text{ are adult women. What fraction of the fans are adults? What fraction of the fans are children?}$

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Problem 11489

Command 3: Start at $\frac{1}{3}$ . Move $\frac{1}{12}$ to the right.
First, choose a common denominator for $\frac{1}{3}$ and $\frac{1}{12}$ .
12
Next, rewrite the command to show how many twelfths are in $\frac{1}{3}$ .
New Command 3: Start at $\frac{\Box}{12}$ . Move $\frac{1}{12}$ to the right.

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Problem 11490

Find the unit rate. $21 \frac{3}{4}$ meters in $2 \frac{1}{2}$ hours
The unit rate is $\square$ meters per hour.

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Problem 11491

Find the quotient and remainder using long division for $\frac{4x^2 + 11x - 18}{x + 4}$ The quotient is The remainder is

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Problem 11492

5 What is the percentage change when you multiply by a 1.6 b 1.08 c 4 d 0.6 e 0.99 f 0.07?
6 a Increase 240 by 60% b Decrease 384 by 37.5% c What do you notice about your answers to a and b?
Practice 7 a What percentage of 4 hours is 6.5 hours? b The length of a train journey increases from 4 hours to 6.5 hours. What is the percentage increase? 8 a What percentage of \$680 is \$490? b A price is reduced from \$680 to \$490. What is the percentage decrease? 9 The money in a bank account increases from \$400 to \$1000. Copy and complete these sentences. a \$1000 is ......% of \$400. b The money has increased by ......%. 10 There are 320 people in a room. Show that an increase of 10% followed by an increase of 50% is the same as an increase of 65%.

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Problem 11493

$3 \cdot 4$

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Problem 11494

$Arccos(0)$

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Problem 11495

Maria and Hoang's class started recycling. In 10 days, they had 11.6 pounds of recycling! How many pounds per day is that?
Solution 1.16 pounds per day
Here is a problem and its solution. Explain how to go from the problem to the solution. Be as detailed as possible. Use the sketch tool if it helps you show your thinking.

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Problem 11496

Trapezoid $MIND$ is dilated to form trapezoid $M'N'I'D'$ as shown. Is each statement true or false? Select True or False in each row.
The measure of angle $I'$ is $90^\circ$ ; therefore, the measure of angle $I$ is $90^\circ$ .
The ratio of $MD$ to $M'D'$ is $\frac{1}{2}$ times the ratio of $IN$ to $I'N'$ .
The length of $D'N'$ is $\frac{1}{2}$ times the length of $DN$ .
The ratio of $IM$ to $I'M'$ is equal to the ratio of $ND$ to $N'D'$ .
The sum of the angle measures of trapezoid $MIND$ is $\frac{1}{2}$ the sum of the angle measures of trapezoid $M'N'I'D'$ .

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Problem 11497

$\text{Given that 477 out of 1722 people have a commute of more than 10 minutes, calculate the probability that a randomly selected person has a commute of more than 10 minutes. Round your answer to four decimal places.}$

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Problem 11498

$53 \div 14$
Solve.

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Problem 11499

Another option she has is a lease where the monthly payment is $\$375$ for 4 years and she must make a one-time balloon payment of $\$1,500$ when she trades in the car.
6. What is the total cost of the lease for this car? (Multiply the monthly payment times $12$ times $4$ plus balloon payment)

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Problem 11500

5. Use an appropriate double angle formula to simplify: a) $10\sin{3\theta}\cos{3\theta}$ $5\sin{2\theta} = 10\sin{\theta}\cos{\theta}$

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1 ...112 113 114 115 116 117 118 ...144

Expression

Problem 11401

Calculate (79−712)÷16\left(\frac{7}{9}-\frac{7}{12}\right) \div \frac{1}{6}(97​−127​)÷61​.

Problem 11402

Calculate 103⋅(119−79)\frac{10}{3} \cdot\left(\frac{11}{9}-\frac{7}{9}\right)310​⋅(911​−97​).

Problem 11403

Calculate −27÷13⋅23-\frac{2}{7} \div \frac{1}{3} \cdot \frac{2}{3}−72​÷31​⋅32​.

Problem 11404

Calculate 12⋅(109+59)\frac{1}{2} \cdot\left(\frac{10}{9}+\frac{5}{9}\right)21​⋅(910​+95​).

Problem 11405

Calculate −25÷−415⋅45-\frac{2}{5} \div -\frac{4}{15} \cdot \frac{4}{5}−52​÷−154​⋅54​.

Problem 11406

Simplify x4x7\frac{x^{4}}{x^{7}}x7x4​ using positive exponents. What is the answer?

Problem 11407

Factor the quadratic expression x2+12x+27x^{2}+12 x+27x2+12x+27.

Problem 11408

Simplify: 5xx2+3x−4−x+1x−1\frac{5 x}{x^{2}+3 x-4}-\frac{x+1}{x-1}x2+3x−45x​−x−1x+1​

Problem 11409

Find the mass number of xenon with 54 protons and 75 neutrons. Use the formula: mass number = protons + neutrons.

Problem 11410

What fraction of \$1.00 is \$2.80? Express your answer as a fraction.

Problem 11411

Calculate the distance between the points (−5,2)(-5,2)(−5,2) and (3,−4)(3,-4)(3,−4). Distance ===

Problem 11412

Find the protons (p)(p)(p) and electrons (e)(e)(e) in N3\mathrm{N}^{3}N3. A) 10p,7e10 p, 7 e10p,7e B) 7p,10e7 p, 10 e7p,10e C) 7p,7e7 p, 7 e7p,7e D) 7p,9e7 p, 9 e7p,9e E) 10p,10e10 p, 10 e10p,10e

Problem 11413

Simplify the expression: 3m−4m3\frac{3 m^{-4}}{m^{3}}m33m−4​.

Problem 11414

What is the name of the compound PCl3\mathrm{PCl}_{3}PCl3​?

Problem 11415

Find the area of a parallelogram tile with a base of 4 inches and a height of 2.5 inches. Use the formula A=b⋅hA = b \cdot hA=b⋅h.

Problem 11416

Simplify the expression (x2y0x−4y4(x−4y2)2)−3\left(\frac{x^{2} y^{0} x^{-4} y^{4}}{\left(x^{-4} y^{2}\right)^{2}}\right)^{-3}((x−4y2)2x2y0x−4y4​)−3.

Problem 11417

Simplify the expression: 4x0y−2z34x\frac{4 x^{0} y^{-2} z^{3}}{4 x}4x4x0y−2z3​.

Problem 11418

Find the slope between the points (−6,8)(-6,8)(−6,8) and (−1,9)(-1,9)(−1,9). Calculate m=m=m=

Problem 11419

Simplify the expression: 2x4y−1⋅(2x3)22x−4y2\frac{2 x^{4} y^{-1} \cdot\left(2 x^{3}\right)^{2}}{2 x^{-4} y^{2}}2x−4y22x4y−1⋅(2x3)2​.

Problem 11420

Simplify the expression: x−5⋅(xy)4(y−4)4\frac{x^{-5} \cdot(x y)^{4}}{\left(y^{-4}\right)^{4}}(y−4)4x−5⋅(xy)4​

Problem 11421

Calculate the weight of the water molecule H2O\mathrm{H}_{2} \mathrm{O}H2​O using atomic weights: H=1.008\mathrm{H} = 1.008H=1.008, O=15.999\mathrm{O} = 15.999O=15.999. Round to nearest whole number.

Problem 11422

Problem 11423

Estimate the standard deviation sss using the range rule of thumb for heights from 160.0 cm160.0 \mathrm{~cm}160.0 cm to 196.4 cm196.4 \mathrm{~cm}196.4 cm. s=□cm s = \square \mathrm{cm} s=□cm

Problem 11424

For 203 female heights with a mean of 64.1 in. and SD of 2.7 in., find the zzz-score for 58 in. and check for outliers.

Problem 11425

Find the slope of the line through (−3,5)(-3,5)(−3,5) and (6,2)(6,2)(6,2), or state if it's undefined. Is it rising, falling, horizontal, or vertical?

Problem 11426

Estimate the distance Earth travels in 60 seconds at a speed of 18.6 miles per second. Use d=rtd = rtd=rt.

Problem 11427

Find −(−3)-(-3)−(−3) using a number line. Graph 3, then its opposite, and finally the opposite of that number. What is the value?

Problem 11428

Calculate the area of a triangle with base 6 units and height 5 units using the formula: Area = 12×base×height\frac{1}{2} \times \text{base} \times \text{height}21​×base×height.

Problem 11429

Find the area of a rectangle with length 7 units and width 9 units. Simplify your answer: A=l×wA = l \times wA=l×w.

Problem 11430

Juanito bought six items for \$0.24, \$0.32, \$0.41, \$0.36, \$0.21, and \$0.05. What is his total spending?

Problem 11431

Calculate the value of 0.00001×128\sqrt{0.00001 \times 128}0.00001×128​.

Problem 11432

Find the percent increase in population from 59,932 in 1990 to 99,470 in 2020. Round to the nearest percent.

Problem 11433

Convert the following fractions to decimals and check if they are terminating: 58\frac{5}{8}85​, −34-\frac{3}{4}−43​, 29\frac{2}{9}92​.

Problem 11434

Calculate the value of 5+1085+\sqrt{108}5+108​.

Problem 11435

Calculate the total cost for 1 to 4 rounds of mini-golf at \$4.50 each. Explain the cost ratio for the rounds.

Problem 11436

Simplify the fraction using positive exponents: (3k3)3/(5k6)(3 k^{3})^{3} / (5 k^{6})(3k3)3/(5k6).

Problem 11437

Simplify the fraction with positive exponents: 5(a2)35a2\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}5a25(a2)3​.

Problem 11438

Simplify the expression: 5(a2)35a2\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}5a25(a2)3​ to find the result in terms of aaa.

Problem 11439

Simplify the fraction with positive exponents: 5r85(r2)2\frac{5 r^{8}}{5\left(r^{2}\right)^{2}}5(r2)25r8​.

Problem 11440

Evaluate the integral from 0 to 1: ∫01x2+1 dx\int_{0}^{1} \sqrt{x^{2}+1} \, dx∫01​x2+1​dx.

Calculate $\left(\frac{7}{9}-\frac{7}{12}\right) \div \frac{1}{6}$ .

Calculate $\frac{10}{3} \cdot\left(\frac{11}{9}-\frac{7}{9}\right)$ .

Calculate $-\frac{2}{7} \div \frac{1}{3} \cdot \frac{2}{3}$ .

Calculate $\frac{1}{2} \cdot\left(\frac{10}{9}+\frac{5}{9}\right)$ .

Calculate $-\frac{2}{5} \div -\frac{4}{15} \cdot \frac{4}{5}$ .

Simplify $\frac{x^{4}}{x^{7}}$ using positive exponents. What is the answer?

Factor the quadratic expression $x^{2}+12 x+27$ .

Simplify: $\frac{5 x}{x^{2}+3 x-4}-\frac{x+1}{x-1}$

Calculate the distance between the points $(-5,2)$ and $(3,-4)$ . Distance $=$

Find the protons $(p)$ and electrons $(e)$ in $\mathrm{N}^{3}$ . A) $10 p, 7 e$ B) $7 p, 10 e$ C) $7 p, 7 e$ D) $7 p, 9 e$ E) $10 p, 10 e$

Simplify the expression: $\frac{3 m^{-4}}{m^{3}}$ .

What is the name of the compound $\mathrm{PCl}_{3}$ ?

Find the area of a parallelogram tile with a base of 4 inches and a height of 2.5 inches. Use the formula $A = b \cdot h$ .

Simplify the expression $\left(\frac{x^{2} y^{0} x^{-4} y^{4}}{\left(x^{-4} y^{2}\right)^{2}}\right)^{-3}$ .

Simplify the expression: $\frac{4 x^{0} y^{-2} z^{3}}{4 x}$ .

Find the slope between the points $(-6,8)$ and $(-1,9)$ . Calculate $m=$

Simplify the expression: $\frac{2 x^{4} y^{-1} \cdot\left(2 x^{3}\right)^{2}}{2 x^{-4} y^{2}}$ .

Simplify the expression: $\frac{x^{-5} \cdot(x y)^{4}}{\left(y^{-4}\right)^{4}}$

Calculate the weight of the water molecule $\mathrm{H}_{2} \mathrm{O}$ using atomic weights: $\mathrm{H} = 1.008$ , $\mathrm{O} = 15.999$ . Round to nearest whole number.

Estimate the standard deviation $s$ using the range rule of thumb for heights from $160.0 \mathrm{~cm}$ to $196.4 \mathrm{~cm}$ . $s = \square \mathrm{cm}$

For 203 female heights with a mean of 64.1 in. and SD of 2.7 in., find the $z$ -score for 58 in. and check for outliers.

Find the slope of the line through $(-3,5)$ and $(6,2)$ , or state if it's undefined. Is it rising, falling, horizontal, or vertical?

Estimate the distance Earth travels in 60 seconds at a speed of 18.6 miles per second. Use $d = rt$ .

Find $-(-3)$ using a number line. Graph 3, then its opposite, and finally the opposite of that number. What is the value?

Calculate the area of a triangle with base 6 units and height 5 units using the formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$ .

Find the area of a rectangle with length 7 units and width 9 units. Simplify your answer: $A = l \times w$ .

Calculate the value of $\sqrt{0.00001 \times 128}$ .

Convert the following fractions to decimals and check if they are terminating: $\frac{5}{8}$ , $-\frac{3}{4}$ , $\frac{2}{9}$ .

Calculate the value of $5+\sqrt{108}$ .

Simplify the fraction using positive exponents: $(3 k^{3})^{3} / (5 k^{6})$ .

Simplify the fraction with positive exponents: $\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}$ .

Simplify the expression: $\frac{5\left(a^{2}\right)^{3}}{5 a^{2}}$ to find the result in terms of $a$ .

Simplify the fraction with positive exponents: $\frac{5 r^{8}}{5\left(r^{2}\right)^{2}}$ .

Evaluate the integral from 0 to 1: $\int_{0}^{1} \sqrt{x^{2}+1} \, dx$ .

Find the slope of the line through points $(-5,3)$ and $(3,6)$ and state if it rises, falls, is horizontal, or vertical.

四边形 $A B C D$ 中， $\angle D A B=\angle C B A=90^{\circ}$ ，若 $A D=6, B C=10$ ，求 $\triangle A D E$ 的面积。

Write the expression $x^{\frac{1}{4}}$ in radical form.

Find the slope of the line through points $(-5,2)$ and $(3,5)$ , and describe its direction (rises, falls, horizontal, vertical).

Find the slope of the line through points $(-1,-2)$ and $(-5,-6)$ , and describe its direction (rises, falls, horizontal, vertical).

Calculate the slope of the line through points $(-1,2)$ and $(4,5)$ ; state if it rises, falls, horizontal, or vertical.

Simplify the fraction with positive exponents: $\frac{4(a)^{2}}{4 a^{5}}$ .

Calculate the slope between points $(-5,2)$ and $(6,6)$ ; state if it's undefined and describe the line's direction.

Simplify the expression: $(2 v^{2}-8 v^{3}+2 v^{4})-(6 v^{3}+7 v+6 v^{4})$

Determine the slope of the line through points $(-7,4)$ and $(5,-8)$ and describe its direction (rises, falls, horizontal, vertical).

Үсэгт илэрхийллийг бодож олно уУ? $y=8$ бол $2y(y+5)-2y(y+2)=$ A. -16 b. 12 c. d. 48

How many electrons does bromine ( $\mathrm{Br}$ ) have? Options: 34, 7, 4, 36.

13. A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumstick costs $\$ 3$ . How many drumsticks does she have? What is the cost to replace them all?

What is the area of this figure? $\square$ square kilometers

1 Amy's practice HH. 5 Area of complex figures Video 56:54
What is the area of this figure? $\square$ square centimeters

$63[4,424$

What is the next largest co-terminal angle for $140^{\circ}$ ? $180^{\circ}$ $40^{\circ}$ $240^{\circ}$ $360^{\circ}$ $500^{\circ}$

21. $\lim _{x \rightarrow \infty} \frac{4-\sqrt{x}}{2+\sqrt{x}}$
23. $\lim _{x \rightarrow \infty} \frac{\sqrt{x+3 x^{2}}}{4 x-1}$

Use the properties of logarithms to expand the following expression. $\log \left(y^{4} \sqrt[3]{x z^{2}}\right)$
Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive.

Fractionville (MUST SHOW WORK) Evaluate & simplify: $-\frac{9}{4} + 3$