Expression

Problem 8901

Simplify these expressions: 1) $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$ 2) $\frac{x-1}{x+2}+\frac{x+1}{2 x+4}$

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Problem 8902

Simplify $\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)$ .

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Problem 8903

Simplify the expression: $\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)$ .

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Problem 8904

Calculate the integral $\int_{0}^{3}(1-e^{-x}) \, dx$ with $h=2$ .

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Problem 8905

Calculate the integral $\int_{v}^{t} t \cdot \cos \left(\frac{t}{5}\right) \cdot d t$ .

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Problem 8906

正十二面体の頂点 $\mathrm{O}, \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ に関する問題です。 (1) 点 $\mathrm{O}$ と平面 $\mathrm{P}$ の距離を証明せよ。 (2) 点 $\mathrm{O}$ を含む立体の体積を求めよ。

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Problem 8907

Is the number 15 prime, composite, or neither?

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Problem 8908

Find the prime factors of 25.

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Problem 8909

Find the prime factors of 245.

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Problem 8910

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

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Problem 8911

Beregn arealet for rektangler med dimensjoner: (3,3), (2,2), (9,4), (10,10).

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Problem 8912

Distribute 100 in the expression: $100(0.06 a + 0.09 b) =$

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Problem 8913

Simplify the expression: $1(2) - 3(-2) + (-3)(3) =$

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Problem 8914

Simplify the following expressions using order of operations: a. $(7+6)^{2}=$ b. $7^{2}+6^{2}=$ c. $7^{2}+2 \cdot 7 \cdot 6+6^{2}=$

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Problem 8915

Evaluate these expressions for $x = 3$ : a. $x^{2}+8x+16$ , b. $(x+4)^{2}$ , c. $x^{2}+4$ , d. $x^{2}-16$ .

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Problem 8916

Distribute in the expression: $x\left(1-\frac{4}{x}\right)=$

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Problem 8917

Simplify using properties: $1 - 2(5b - 5) + 3b =$

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Problem 8918

If you multiply two decimals less than 1, will the product be less than both factors? Explain your reasoning.

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Problem 8919

Estimate $8 \times 1$ to show Kim's answer of 76.16 is incorrect. What is the estimated value?

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Problem 8920

Calculate the expression: $6 + 5 \times 8 - 7 \times 5$ .

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Problem 8921

Find the number of digits in the product of $2^{101}$ and $5^{99}$ .

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Problem 8922

Find the highest common factor (HCF) of $A=2 \times 3^{4} \times 5$ and $B=2^{3} \times 3^{2} \times 5^{2}$ . HCF = 12.

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Problem 8923

Kerro $12 \cdot 32$ ja laske tulos.

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Problem 8924

Laske $30 \cdot 22$ hajottamalla kertoja tulontekijöihin.

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Problem 8925

Calculate $\left(1 \frac{17}{25} \cdot 2 \frac{1}{7}-2 \frac{4}{7} \cdot 1 \frac{2}{5}\right) \cdot 2 \frac{7}{9}$ .

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Problem 8926

Find the distance between -3 and 2 on the number line: $|-3 - 2|$ . Options: -5, -1, 1, 5.

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Problem 8927

Find $\frac{a}{b} + \frac{c}{d}$ where $a$ is the circumscribed circle radius, $b$ is the inscribed circle radius, $c$ is the larger square side, and $d$ is the smaller square side.

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Problem 8928

Find the value of $c$ where $c=\sqrt{105+24 \sqrt{6}}-\sqrt{105-24 \sqrt{6}}$ is rational.

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Problem 8929

Which of these products is negative?
1. $\left(-\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(\frac{1}{4}\right)$
2. $\left(\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(-\frac{1}{4}\right)$
3. $\left(\frac{3}{8}\right)\left(\frac{5}{7}\right)\left(\frac{1}{4}\right)$
4. $\left(-\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(-\frac{1}{4}\right)$

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Problem 8930

Which expression equals $63.56 + (-81.47)$ ? Options: $63.56 - 81.47$ , $63.56 + 81.47$ , $-63.56 - 81.47$ , $-63.56 + 81.47$ .

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Problem 8931

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: $A = \pi(R^2 - r^2)$ .

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Problem 8932

Evaluate $26 + 9(17 - 3^{2}) \div 4$

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Problem 8933

Calculate total liquid assets ( $2600 + 780 + 87400$ ) and total current liabilities ( $262 + 489$ ).

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Problem 8934

Calculate the following products:
1. $(-10)(-2)$
2. $-3(5)$
3. $8(4)$
4. $0(-22)$

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Problem 8935

What percentage is $26 \mathrm{~g}$ of $208 \mathrm{~g}$ ?

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Problem 8936

Calculate the following: $(-2)(50)$ , $(-7)(-7)$ , $-15(9)$ , $-3(-100)$ , and find $O(-153)$ . What is the total change?

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Problem 8937

Convert 452 joules to calories. What is the energy in calories, including the unit symbol?

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Problem 8938

Calculate $3^{4}-20$ .

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Problem 8939

How many mm are in 5 m?

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Problem 8940

Calculate: $9.43 + 11.3 =$

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Problem 8941

A clinic gives 1136 vaccine doses in 16.8 hours. How many doses per hour is that? Round to the nearest whole number.

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Problem 8942

What is the equivalent of $0.0009$ ?

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Problem 8943

Multiply: $\frac{5}{8} \times \frac{2}{9} =$

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Problem 8944

Multiply: $(226)(55.3) = ?$

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Problem 8945

Divide: $\frac{2}{5} \div \frac{3}{7} =$

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Problem 8946

Convert 651 joules to kilocalories. Include the unit symbol in your answer. Use the conversion: 1 kcal = 4184 J.

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Problem 8947

Divide 248 by 26 and verify your answer by multiplication.

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Problem 8948

Divide 2868 by 2. Verify your answer by multiplication.

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Problem 8949

When 9.5 grams of glucose yields $8.8 \mathrm{kcal}$ , how many kilojoules is that? Include the unit symbol.

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Problem 8950

Divide 238 by 2. Check your answer by multiplying.

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Problem 8951

Divide 286 by 2. What is the quotient? A. No remainder. B. Provide the whole number answer.

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Problem 8952

Find the area of a rug measuring 8 ft by 12 ft and the cost per square foot if it costs \$ 590. Round to the nearest cent.

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Problem 8953

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

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Problem 8954

A mug contains 220 grams of water. How many moles is this? Use the fractions 220 g/1 and 1 mole/18 g for your calculation. Round to one decimal place.

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Problem 8955

Find two fractions to calculate the cost per mile of driving, using 24 miles/gallon and \$2.30/gallon. Round to the nearest cent.

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Problem 8956

Select two fractions that, when multiplied, yield the cost per mile to drive, rounding to the nearest cent:
1 gallon / 2.30 dollars 2.30 dollars / 1 gallon 24 miles / 1 gallon 1 gallon / 24 miles
Find the cost in \$ per mile.

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Problem 8957

Find two fractions to multiply for the car's cost per mile, using 24 miles/gallon and gas at \$2.30/gallon.

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Problem 8958

Identify the binomials from the options: A. $x^{2}+3$ , B. $8 x$ , C. $\frac{5}{7} y^{3}+5 y^{2}+y$ , D. $x^{4}+x^{2}+1$ , E. $6 x^{2}+\frac{1}{2} y^{3}$ , F. $x^{11}$ .

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Problem 8959

Find the coefficient of $x^{3}$ in the polynomial $x^{3}+\frac{1}{3} x^{4}+6 x+5$ . A. 0 B. 5 C. 6 D. 1

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Problem 8960

Find the degree of the polynomial $5 y^{4}+y^{3}+\frac{2}{3} y^{2}+y+1$ . A. 4 B. 2 C. 5

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Problem 8961

Simplify: $3 x^{4}+2 x^{3}-5 x^{2}+4 x^{2}+6 x-2 x-3 x^{4}+7 x^{5}-3 x^{3}$ . Choose A, B, C, or D.

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Problem 8962

Calculate $19 \times 38$ .

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Problem 8963

Simplify the expression: $\left(9 x^{-2} y^{4}\right)^{-1 / 2}\left(x y^{1 / 2}\right)$ .

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Problem 8964

Lorena's baby brother is 23 weeks old. How many hours old is he? A) 1,380 h B) 3,864 h C) 2,760 h D) 552 h

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Problem 8965

Evaluate the expression: $6(12+4)$ .

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Problem 8966

Calculate the expression: $6(12+4)$ .

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Problem 8967

Lorena's baby brother is 23 weeks old. How many hours old is he? A $1,380 \mathrm{~h}$ B $3,864 \mathrm{~h}$ C $2,760 \mathrm{~h}$ D $552 \mathrm{~h}$

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Problem 8968

Divide 6675 by 5. What is the result?

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Problem 8969

A pack of 8 candy bars weighs how much if one bar weighs 4.56 ounces? Calculate: $8 \times 4.56$ .

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Problem 8970

Find the distance between the top (55 ft) and bottom (385 ft) of the iceberg. Show your work.

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Problem 8971

Subtract the following pairs of numbers: 1. $9-(-2)$ 2. $-20-10$ 3. $13-(-63)$ 4. $28-14$ 5. $-10-0$ 6. $-33-33$ 7. $-18-(-12)$ 8. $-28-(-13)$ 9. $-18-(-40)$

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Problem 8972

Multiply integers with different signs. Find $-7(5)$ and $9(-13)$ . Show your work.

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Problem 8973

Evaluate the expression: $6(12 + 4)$

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Problem 8974

Calculate: $10 + 4(2 + 20)$

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Problem 8975

Calculate $7(4+19)$ .

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Problem 8976

Substitute b = 2 and c = 4 into $\frac{b^{2}-2 c^{2}}{a+c-b}$ and express in terms of 'a'.

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Problem 8977

Calculate $\frac{b c^{2}+a}{c}$ for $a = 12$ , $b = 9$ , and $c = 4$ .

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Problem 8978

Calculate $\frac{7+3^{2}}{4^{2} \cdot 2}$ .

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Problem 8979

Calculate $\frac{(2 \cdot 5)^{2}+4}{3^{2}-5}$ .

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Problem 8980

Calculate total hours spent on a job by 5 workers (10 hours each) and 1 foreman (4 hours). Which expression is correct? F. $10 \times(4+5)$ G. $(4 \times 10)+5$ H. $10+5+4$ J. $5 \times 10$ K. $(5 \times 10)+4$

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Problem 8981

Multiply and simplify. $\frac{30 x-12}{35} \cdot \frac{10}{2-5 x}$

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Problem 8982

9. If a Canadian social insurance number begins with the digit 6 , it indicates that the number was registered in Manitoba, Saskatchewan, Alberta, Northwest Territories, or Nunavut. If the number begins with a 7, the number was registered in British Columbia or the Yukon. How many different SINs can be registered in each of these groups of provinces and territories?

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Problem 8983

Ava has six pages left to read in his book. She reads $\frac{1}{2}$ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

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Problem 8984

15. Mrs. Echols chooses a student at random from the Coronado High School student body, and the following events are recorded: $M$ : the student is male $F$ : the student is female B : the student ate breakfast that morning N : the student did not eat breakfast that morning The tree diagram gives probabilities associated with these events.
Find $P(B \mid F)$ and write in words what this expression represents. a) 0.18 . This is the probability the student ate breakfast and is female. b) 0.18 . This is the probability the student ate breakfast, given she is female. c) 0.18 . This is the probability the student is female, given she ate breakfast. d) 0.30 . This is the probability the student ate breakfast, given she is female. e) 0.30 . This is the probability the student is female, given she ate breakfast.

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Problem 8985

$5,229 \div 9$

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Problem 8986

3,649 x 6 = ?

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Problem 8987

$500 \times 150$

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Problem 8988

$(\sin \sqrt{x})^{\prime}$

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Problem 8989

A sphere of radius 2 inches is cut by three planes passing through its center. This partitions the solid into 8 equal parts, one of which is shown. The volume of each part is $t \pi$ cubic inches. What is the value of $t$ ?

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Problem 8990

Use cross products to show equality: then $a \times d=b \times c$ .
Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 $\qquad$ 3) 3.2 is to 11 as 16 is to 55

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Problem 8991

Complete the trinomial so that it is a perfect square. Then factor the trinomial. $x^{2}+28 x$
Find the missing term that completes the square. $x^{2}+28 x+$ $\square$ (Simplify your answer. Type an integer or a fraction.)

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Problem 8992

See year lavels
What is the area of this figure?

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Problem 8993

What is the area of this figure?

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Problem 8994

Current Attempt in Progress Encore Inc. declared an $\$ 80,000$ cash dividend. It currently has 3,000 shares of $7 \%, \$ 100$ par value cumulative preferred stock outstanding. It is one year in arrears on its preferred stock. How much cash dividends will Encore distribute to the common stockholders? \$38,000 \$42,000 \$59,000 None of these answer choices are correct Save for Later Attempts: 0 of 1 used Submit Answer

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Problem 8995

$x^{2}-12 x+36$

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Problem 8996

$25 x^{2}-1$

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Problem 8997

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.
The probability is $\square$ (Type an integer or a simplified fraction.) Clear all Check answer

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Problem 8998

$\lim _{x \rightarrow 0^{+}}(\tan x \cdot \ln x)$

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Problem 8999

the simple statements p: There is a fire in the fireplace. $q$ : The house is cold. ch each compound statement to its symbolic form. There is a fire in the fireplace if and only if the house is not cold. If there is a fire in the fireplace then the house is not cold. There is no fire in the fireplace and the house is cold. a. $\sim p \vee q$ There is a fire in the fireplace or the house is not cold. b. $\sim p \wedge q$ There is no fire in the fireplace or the house is cold. c. $\sim p \leftrightarrow q$
d. $q \rightarrow \sim p$ e. $p \wedge \sim q$
There is no fire in the fireplace if and only if the house is cold. f. $p \leftrightarrow \sim q$
There is a fire in the fireplace and the house is not cold. g. $p \rightarrow \sim q$ If the house is cold then there is no fire in the fireplace. h. $p \vee \sim q$

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Problem 9000

4 Two Squares are shown. Find the area and perimeter of each. $\begin{array}{c} P=\ldots \text { units } \\ A=\quad \text { square units } \end{array}$ a) The perimeter increased by a factor of $\qquad$ . b) The area increased by a factor of $\qquad$

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1 ...87 88 89 90 91 92 93 ...144

Expression

Problem 8901

Simplify these expressions: 1) x2−3x−4x2+x÷x−4x2\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}x2+xx2−3x−4​÷x2x−4​ 2) x−1x+2+x+12x+4\frac{x-1}{x+2}+\frac{x+1}{2 x+4}x+2x−1​+2x+4x+1​

Problem 8902

Simplify [(mn)2−1]÷(m/n+1)\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)[(nm​)2−1]÷(m/n+1).

Problem 8903

Simplify the expression: [(mn)2−(−m)0]÷(mn−1+1)\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)[(nm​)2−(−m)0]÷(mn−1+1).

Problem 8904

Calculate the integral ∫03(1−e−x) dx\int_{0}^{3}(1-e^{-x}) \, dx∫03​(1−e−x)dx with h=2h=2h=2.

Problem 8905

Calculate the integral ∫vtt⋅cos⁡(t5)⋅dt\int_{v}^{t} t \cdot \cos \left(\frac{t}{5}\right) \cdot d t∫vt​t⋅cos(5t​)⋅dt.

Problem 8906

正十二面体の頂点 O,A,B,C,D\mathrm{O}, \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}O,A,B,C,D に関する問題です。 (1) 点 O\mathrm{O}O と平面 P\mathrm{P}P の距離を証明せよ。 (2) 点 O\mathrm{O}O を含む立体の体積を求めよ。

Problem 8907

Is the number 15 prime, composite, or neither?

Problem 8908

Find the prime factors of 25.

Problem 8909

Find the prime factors of 245.

Problem 8910

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med π=3\pi=3π=3.

Problem 8911

Beregn arealet for rektangler med dimensjoner: (3,3), (2,2), (9,4), (10,10).

Problem 8912

Distribute 100 in the expression: 100(0.06a+0.09b)=100(0.06 a + 0.09 b) = 100(0.06a+0.09b)=

Problem 8913

Simplify the expression: 1(2)−3(−2)+(−3)(3)=1(2) - 3(-2) + (-3)(3) = 1(2)−3(−2)+(−3)(3)=

Problem 8914

Simplify the following expressions using order of operations: a. (7+6)2=(7+6)^{2}=(7+6)2= b. 72+62=7^{2}+6^{2}=72+62= c. 72+2⋅7⋅6+62=7^{2}+2 \cdot 7 \cdot 6+6^{2}=72+2⋅7⋅6+62=

Problem 8915

Evaluate these expressions for x=3x = 3x=3: a. x2+8x+16x^{2}+8x+16x2+8x+16, b. (x+4)2(x+4)^{2}(x+4)2, c. x2+4x^{2}+4x2+4, d. x2−16x^{2}-16x2−16.

Problem 8916

Distribute in the expression: x(1−4x)=x\left(1-\frac{4}{x}\right)=x(1−x4​)=

Problem 8917

Simplify using properties: 1−2(5b−5)+3b=1 - 2(5b - 5) + 3b = 1−2(5b−5)+3b=

Problem 8918

If you multiply two decimals less than 1, will the product be less than both factors? Explain your reasoning.

Problem 8919

Estimate 8×18 \times 18×1 to show Kim's answer of 76.16 is incorrect. What is the estimated value?

Problem 8920

Calculate the expression: 6+5×8−7×56 + 5 \times 8 - 7 \times 56+5×8−7×5.

Problem 8921

Find the number of digits in the product of 21012^{101}2101 and 5995^{99}599.

Problem 8922

Find the highest common factor (HCF) of A=2×34×5A=2 \times 3^{4} \times 5A=2×34×5 and B=23×32×52B=2^{3} \times 3^{2} \times 5^{2}B=23×32×52. HCF = 12.

Problem 8923

Kerro 12⋅3212 \cdot 3212⋅32 ja laske tulos.

Problem 8924

Laske 30⋅2230 \cdot 2230⋅22 hajottamalla kertoja tulontekijöihin.

Problem 8925

Calculate (11725⋅217−247⋅125)⋅279\left(1 \frac{17}{25} \cdot 2 \frac{1}{7}-2 \frac{4}{7} \cdot 1 \frac{2}{5}\right) \cdot 2 \frac{7}{9}(12517​⋅271​−274​⋅152​)⋅297​.

Problem 8926

Find the distance between -3 and 2 on the number line: ∣−3−2∣|-3 - 2|∣−3−2∣. Options: -5, -1, 1, 5.

Problem 8927

Find ab+cd\frac{a}{b} + \frac{c}{d}ba​+dc​ where aaa is the circumscribed circle radius, bbb is the inscribed circle radius, ccc is the larger square side, and ddd is the smaller square side.

Problem 8928

Find the value of ccc where c=105+246−105−246c=\sqrt{105+24 \sqrt{6}}-\sqrt{105-24 \sqrt{6}}c=105+246​​−105−246​​ is rational.

Problem 8929

Problem 8930

Which expression equals 63.56+(−81.47)63.56 + (-81.47)63.56+(−81.47)? Options: 63.56−81.4763.56 - 81.4763.56−81.47, 63.56+81.4763.56 + 81.4763.56+81.47, −63.56−81.47-63.56 - 81.47−63.56−81.47, −63.56+81.47-63.56 + 81.47−63.56+81.47.

Problem 8931

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: A=π(R2−r2)A = \pi(R^2 - r^2)A=π(R2−r2).

Problem 8932

Evaluate 26+9(17−32)÷426 + 9(17 - 3^{2}) \div 426+9(17−32)÷4

Problem 8933

Calculate total liquid assets (2600+780+874002600 + 780 + 874002600+780+87400) and total current liabilities (262+489262 + 489262+489).

Problem 8934

Calculate the following products: 1. (−10)(−2)(-10)(-2)(−10)(−2) 2. −3(5)-3(5)−3(5) 3. 8(4)8(4)8(4) 4. 0(−22)0(-22)0(−22)

Problem 8935

What percentage is 26 g26 \mathrm{~g}26 g of 208 g208 \mathrm{~g}208 g?

Problem 8936

Calculate the following: (−2)(50)(-2)(50)(−2)(50), (−7)(−7)(-7)(-7)(−7)(−7), −15(9)-15(9)−15(9), −3(−100)-3(-100)−3(−100), and find O(−153)O(-153)O(−153). What is the total change?

Problem 8937

Convert 452 joules to calories. What is the energy in calories, including the unit symbol?

Problem 8938

Calculate 34−203^{4}-2034−20.

Problem 8939

How many mm are in 5 m?

Problem 8940

Calculate: 9.43+11.3=9.43 + 11.3 = 9.43+11.3=

Simplify these expressions: 1) $\frac{x^{2}-3 x-4}{x^{2}+x} \div \frac{x-4}{x^{2}}$ 2) $\frac{x-1}{x+2}+\frac{x+1}{2 x+4}$

Simplify $\left[\left(\frac{m}{n}\right)^{2}-1\right] \div\left(m/n + 1\right)$ .

Simplify the expression: $\left[\left(\frac{m}{n}\right)^{2}-(-m)^{0}\right] \div\left(m n^{-1}+1\right)$ .

Calculate the integral $\int_{0}^{3}(1-e^{-x}) \, dx$ with $h=2$ .

Calculate the integral $\int_{v}^{t} t \cdot \cos \left(\frac{t}{5}\right) \cdot d t$ .

正十二面体の頂点 $\mathrm{O}, \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ に関する問題です。 (1) 点 $\mathrm{O}$ と平面 $\mathrm{P}$ の距離を証明せよ。 (2) 点 $\mathrm{O}$ を含む立体の体積を求めよ。

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

Distribute 100 in the expression: $100(0.06 a + 0.09 b) =$

Simplify the expression: $1(2) - 3(-2) + (-3)(3) =$

Simplify the following expressions using order of operations: a. $(7+6)^{2}=$ b. $7^{2}+6^{2}=$ c. $7^{2}+2 \cdot 7 \cdot 6+6^{2}=$

Evaluate these expressions for $x = 3$ : a. $x^{2}+8x+16$ , b. $(x+4)^{2}$ , c. $x^{2}+4$ , d. $x^{2}-16$ .

Distribute in the expression: $x\left(1-\frac{4}{x}\right)=$

Simplify using properties: $1 - 2(5b - 5) + 3b =$

Estimate $8 \times 1$ to show Kim's answer of 76.16 is incorrect. What is the estimated value?

Calculate the expression: $6 + 5 \times 8 - 7 \times 5$ .

Find the number of digits in the product of $2^{101}$ and $5^{99}$ .

Find the highest common factor (HCF) of $A=2 \times 3^{4} \times 5$ and $B=2^{3} \times 3^{2} \times 5^{2}$ . HCF = 12.

Kerro $12 \cdot 32$ ja laske tulos.

Laske $30 \cdot 22$ hajottamalla kertoja tulontekijöihin.

Calculate $\left(1 \frac{17}{25} \cdot 2 \frac{1}{7}-2 \frac{4}{7} \cdot 1 \frac{2}{5}\right) \cdot 2 \frac{7}{9}$ .

Find the distance between -3 and 2 on the number line: $|-3 - 2|$ . Options: -5, -1, 1, 5.

Find $\frac{a}{b} + \frac{c}{d}$ where $a$ is the circumscribed circle radius, $b$ is the inscribed circle radius, $c$ is the larger square side, and $d$ is the smaller square side.

Find the value of $c$ where $c=\sqrt{105+24 \sqrt{6}}-\sqrt{105-24 \sqrt{6}}$ is rational.

Which expression equals $63.56 + (-81.47)$ ? Options: $63.56 - 81.47$ , $63.56 + 81.47$ , $-63.56 - 81.47$ , $-63.56 + 81.47$ .

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: $A = \pi(R^2 - r^2)$ .

Evaluate $26 + 9(17 - 3^{2}) \div 4$

Calculate total liquid assets ( $2600 + 780 + 87400$ ) and total current liabilities ( $262 + 489$ ).

Calculate the following products:
1. $(-10)(-2)$
2. $-3(5)$
3. $8(4)$
4. $0(-22)$

What percentage is $26 \mathrm{~g}$ of $208 \mathrm{~g}$ ?

Calculate the following: $(-2)(50)$ , $(-7)(-7)$ , $-15(9)$ , $-3(-100)$ , and find $O(-153)$ . What is the total change?

Calculate $3^{4}-20$ .

Calculate: $9.43 + 11.3 =$

What is the equivalent of $0.0009$ ?

Multiply: $\frac{5}{8} \times \frac{2}{9} =$

Multiply: $(226)(55.3) = ?$

Divide: $\frac{2}{5} \div \frac{3}{7} =$

When 9.5 grams of glucose yields $8.8 \mathrm{kcal}$ , how many kilojoules is that? Include the unit symbol.

Find the cost of a Toronto car in USD using dimensional analysis. Choose the right fractions to cross-cancel units. Use $25000 \mathrm{CAD}$ and $1 \mathrm{USD} / 1.329 \mathrm{CAD}$ . Round to the nearest dollar.

Select two fractions that, when multiplied, yield the cost per mile to drive, rounding to the nearest cent:
1 gallon / 2.30 dollars 2.30 dollars / 1 gallon 24 miles / 1 gallon 1 gallon / 24 miles
Find the cost in \$ per mile.

Identify the binomials from the options: A. $x^{2}+3$ , B. $8 x$ , C. $\frac{5}{7} y^{3}+5 y^{2}+y$ , D. $x^{4}+x^{2}+1$ , E. $6 x^{2}+\frac{1}{2} y^{3}$ , F. $x^{11}$ .

Find the coefficient of $x^{3}$ in the polynomial $x^{3}+\frac{1}{3} x^{4}+6 x+5$ . A. 0 B. 5 C. 6 D. 1

Find the degree of the polynomial $5 y^{4}+y^{3}+\frac{2}{3} y^{2}+y+1$ . A. 4 B. 2 C. 5

Simplify: $3 x^{4}+2 x^{3}-5 x^{2}+4 x^{2}+6 x-2 x-3 x^{4}+7 x^{5}-3 x^{3}$ . Choose A, B, C, or D.

Calculate $19 \times 38$ .

Simplify the expression: $\left(9 x^{-2} y^{4}\right)^{-1 / 2}\left(x y^{1 / 2}\right)$ .

Evaluate the expression: $6(12+4)$ .

Calculate the expression: $6(12+4)$ .

Lorena's baby brother is 23 weeks old. How many hours old is he? A $1,380 \mathrm{~h}$ B $3,864 \mathrm{~h}$ C $2,760 \mathrm{~h}$ D $552 \mathrm{~h}$

A pack of 8 candy bars weighs how much if one bar weighs 4.56 ounces? Calculate: $8 \times 4.56$ .

Multiply integers with different signs. Find $-7(5)$ and $9(-13)$ . Show your work.

Evaluate the expression: $6(12 + 4)$

Calculate: $10 + 4(2 + 20)$