Expression

Problem 8801

Question 11 Which open array model helps solve $210 \div 6$ ? \begin{tabular}{|c|c|c|} \hline & \multirow[b]{3}{}{ $\begin{array}{r} 10 \\ \rightarrow \quad 10 \end{array}$ } & 6 \\ \hline \multirow{4}{}{210} & & 60 \\ \hline & & 60 \\ \hline & 10 & 60 \\ \hline & 5 & 30 \\ \hline \end{tabular}
B
C
D

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Problem 8802

Question 34
Divide: $\frac{-6 x^{7}-4 x^{3}-2 x^{2}}{2 x^{2}}$ $\square$ Question Help: Video

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Problem 8803

Factor the polynomial completely. $9 x^{2}+48 x+64$

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Problem 8804

4) $\left(x^{3}-5 x^{2}-17 x-65\right) \div(x-8)$

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Problem 8805

Rudi memiliki dua buah koin 1000 rupiah, Ialu melemparkan kedua koin tersebut bersamaan. Berapa peluang muncul angka dan gambar pada kedua koin?
Sebuah kartu diambil dari satu kartu standar 52 kartu. Berapakah peluang kartu yang diambil adalah hati?
Dalam sebuah kotak terdapat 5 bola merah dan 3 bola biru. Jika satu bola diambil secara acak, berapakah peluang bola yang diambil adalah bolah merah?
Dalam sebuah undian terdapat 10 tiket, dimana 3 tiket adalah pemenang. Jika satu tiket diambilsecara acak, berapakah peluang tiket yang diambil adalah tiket pemenang?
Banyak kata yang dapat disusun dari kata "SUKSES" adalah...
Arkan akan membuat password untuk alamat emailnya yang terdiri dari 5 huruf kemudian diikuti oleh 2 angka yang berbeda. Jika huruf yang disusun berasal dari pembentuk kata pada namanya, maka banyaknya password yang dibuat adalah...
Dari angka-angka 01234567 dan akan dibentuk bilangan tiga angka yang kurang dari 800 dan angka tidak boleh ada yang berulang. Banyak bilangan yang terjadi adalah....bilangan

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Problem 8806

Simplify completely: $12 \sqrt{11}+\sqrt{11}$ Answer = $\square$

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Problem 8807

Simplify completely: $-5 \sqrt{11}-13 \sqrt{11}+14 \sqrt{11}$ Answer = $\square$

See Solution

Problem 8808

Evaluate: $[-24] \div[4(8-14)]$

See Solution

Problem 8809

Simplify the expression: $(-6 y^{3}+12-9 y)-(10-4 y+5 y^{3})$ .

See Solution

Problem 8810

Rewrite the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ in descending order.

See Solution

Problem 8811

Find the product of the binomial factor using the square of a binomial: $(x+2)^{2}$ .

See Solution

Problem 8812

What is the chemical symbol for the ion with electron configuration $[\mathrm{He}] 2 \mathrm{~s}^{2} 2 \mathrm{p}^{6}$ ?

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Problem 8813

Write the electron configuration for a sodium ion (Na $^+$ ).

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Problem 8814

Find the degree of the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ .

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Problem 8815

Find the leading coefficient of the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ .

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Problem 8816

Multiply the polynomials: $(5 x^{2}+y)(x^{2}-3 y)$ .

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Problem 8817

Simplify the expression $(2 x)^{2}$ .

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Problem 8818

Classify the expression $-4 y^{\frac{3}{2}}-12 x$ as a polynomial or non-polynomial.

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Problem 8819

Calculate the product of the binomial factor using the square of a binomial: $(x+1)^{2}$ .

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Problem 8820

Rewrite the polynomial in descending order: $3 y^{13} - y^{6} + 7 y^{3} + 7$ .

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Problem 8821

Explain how to represent division with 2-digit divisors in math problems.

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Problem 8822

Factor the expression $121 r^{2}+4 s^{2}$ in the complex number set.

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Problem 8823

Calculate and simplify: $(1+\sqrt{-49})-(29 i-34)$ in the form $a+bi$ .

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Problem 8824

Is $\mathrm{C}_{4} \mathrm{H}_{8}$ an alkane? Answer yes or no.

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Problem 8825

Calculate the absolute and relative change when support rises from $34\%$ to $55\%$ .

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Problem 8826

Calculate the percent change for: 30 to 25, 25 to 30, \$3.12 to \$2.86, and \$2.86 to \$3.12. Round to the nearest tenth.

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Problem 8827

Find the absolute and relative change in a car's value from \$34,400 to \$31,900. Round answers to the nearest dollar and tenth percent.

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Problem 8828

A scientist measures $90.7 \mathrm{~kg}$ , while the true value is $60.0 \mathrm{~kg}$ . Find the absolute and relative error.

See Solution

Problem 8829

A scientist measures $218 \mathrm{kg}$ ; the true value is $200 \mathrm{kg}$ . Find absolute and relative error.

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Problem 8830

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: $\frac{58,000,000}{65,000,000}$ .

See Solution

Problem 8831

Calculate the value of $9-2 \cdot 4 \div (-3 - (-1))^{3}$ .

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Problem 8832

Find the value of $\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}$ for $p=4$ , $q=\frac{1}{2}$ , $r=2$ .

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Problem 8833

A politician's support rises from $37\%$ to $58\%$ . Find the absolute and relative change, rounded to the nearest tenth of a percent.

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Problem 8834

Calculate the percent change for these cases: 30 to 25 (decrease), 25 to 30 (increase), \$3.12 to \$3 (decrease), \$3 to \$3.12 (increase).

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Problem 8835

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

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Problem 8836

A scientist measures $1151 \mathrm{cm}^{3}$ ; true value is $1000 \mathrm{cm}^{3}$ . Find absolute and relative error.

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Problem 8837

Calculate the limit: $\lim _{x \rightarrow 0}\left(\frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}\right)$ .

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Problem 8838

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

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Problem 8839

A scientist measures $7.09 \mathrm{~g} \cdot \mathrm{m}^{-3}$ ; true value is $6.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find absolute and relative error.

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Problem 8840

A scientist measures $744 \mathrm{m}$ ; true value is $500 \mathrm{m}$ . Find absolute and relative error.

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Problem 8841

Classify the number $-\sqrt{7}$ as natural, integer, rational, or real. Options: A, B, C, D.

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Problem 8842

Calculate the discount amount for an item priced at \$4300 with a 9\% discount.

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Problem 8843

Find the discount on an item with a face value of \ $4300 and a discount rate of 9\%. Calculate using$ 4300 \times 0.09$.

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Problem 8844

Identify the whole numbers from this list: A. $\pi$ , B. $\frac{2}{1}$ , C. $0 . \overline{25}$ , D. $\sqrt{2}$ , E. $-\frac{8}{9}$ , F. None.

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Problem 8845

Identify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

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Problem 8846

Convert the following numbers to scientific notation: A) -0.0087 B) 206.8

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Problem 8847

Evaluate the following expressions by hand:
A) $\sqrt{9-5}-\frac{8-4}{4-2}$ B) $\frac{13-\sqrt{9+16}}{|5-7|^{2}}$

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Problem 8848

What is the contraposition of "If it is hot, then we turn on the AC"? Options: A) If AC is on, not hot B) If AC off, not hot C) If AC off, cold D) No contraposition

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Problem 8849

What is true about the contrapositive of $\mathrm{p} \rightarrow q$ ? Options include its truth value and negation of $p$ and $q$ .

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Problem 8850

The inverse of the conditional proposition $p \rightarrow q$ is $\neg p \rightarrow \neg q$ .

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Problem 8851

Identify the difference between the converse and contraposition of a conditional statement.

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Problem 8852

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

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Problem 8853

Find the value of $5 x^{2}-6 x+\frac{1}{x}$ when $x=-2$ . Type an integer or a decimal.

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Problem 8854

Find the slope $m$ between the points $(10,-6.5)$ and $(0,-1.5)$ .

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Problem 8855

The expression $\frac{f(x+h)-f(x)}{h}$ is called the derivative of $f$ .

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Problem 8856

Which statements about the bi-conditional proposition $p \leftrightarrow q$ are true?

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Problem 8857

Which statement is equivalent to $p \leftrightarrow q$ ? Options: $q$ is necessary for $p$ , $p$ only if $q$ , $p$ if and only if $q$ , $\neg p \leftrightarrow \neg q$ .

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Problem 8858

Simplify the expression: $7(y-9)-2y$ .

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Problem 8859

Calculate the mass: $(4.3 \frac{\mathrm{mol}}{\mathrm{L}})(0.27 \mathrm{~L})(139.76 \frac{\mathrm{g}}{\mathrm{mol}})=$

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Problem 8860

A scientist measures $71.1 \mathrm{~m}$ ; true value is $50.0 \mathrm{~m}$ . Find absolute and relative error.

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Problem 8861

Find values of $p$ and $q$ for the false bi-conditional $p \leftrightarrow q$ . Options: True/False pairs.

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Problem 8862

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

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Problem 8863

Find the total mass of a material with density $2 \mathrm{~g} / \mathrm{cm}^{3}$ and volume $24 \mathrm{~cm}^{3}$ . Include units!

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Problem 8864

A scientist measures $22.4 \mathrm{~m}$ ; true value is $20.0 \mathrm{~m}$ . Find absolute and relative errors.

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Problem 8865

A scientist measures $3.93 \mathrm{~g} \cdot \mathrm{m}^{-3}$ while the true value is $7.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find the absolute and relative error.

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Problem 8866

Calculate the absolute and relative error for a measurement of $581 \mathrm{g} \cdot \mathrm{m}^{-3}$ vs. true value $500 \mathrm{g} \cdot \mathrm{m}^{-3}$ .

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Problem 8867

Calculate the absolute and relative error for a measurement of $5.22 \mathrm{~m}$ when the true value is $9.00 \mathrm{~m}$ .

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Problem 8868

Rewrite the expression as a sum/difference of logarithms: $\log _{2}\left(\frac{x^{4}}{y^{6}}\right)$

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Problem 8869

Subtract: $-\frac{1}{2}-\frac{3}{8}$

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Problem 8870

A scientist measures $536 \, \mathrm{g} \, \mathrm{m}^{-3}$ ; true value is $1000 \, \mathrm{g} \, \mathrm{m}^{-3}$ . Find absolute and relative error.

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Problem 8871

Evaluate the following expressions: $0 \div 9$ and $\frac{8}{0}$ . Click "Undefined" if applicable.

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Problem 8872

Convert the following values to decimals: 35 thousandths, 9.235, 805 thousandths, $\frac{8}{1000}$ , $\frac{28}{1000}$ , $7 \frac{528}{1000}$ , $300 \frac{502}{1000}$ . Also, express 0.008, 15.062, 607.409 in words and show 27.346 in expanded notation.

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Problem 8873

Calculate the absolute and relative error for a measurement of $11.49 \mathrm{~kg}$ when the true value is $8.00 \mathrm{~kg}$ .

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Problem 8874

Find the value of $\log _{4} 1$ .

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Problem 8875

Calculate the absolute and relative error for a measurement of $11.1 \mathrm{~m}$ when the true value is $10.0 \mathrm{~m}$ .

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Problem 8876

Find the inverse of the function value: if $\mathrm{f}(-1)=7$ , then find $(f(-1))^{-1}$ .

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Problem 8877

Usa restas repetidas y notación expandida para calcular $288 \div 12$ .

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Problem 8878

Identify and factor the following polynomials that are differences of two squares: $L^{2}-9$ , $U^{2}-25O^{2}$ , $A^{2}-100$ , $16E^{2}-1$ , $Y^{2}-81$ , $H^{2}-9E^{2}$ .

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Problem 8879

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

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Problem 8880

Find the probability of selecting one green and one black marble from a jar of 10 marbles without replacement.

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Problem 8881

What is the probability of drawing two hearts from a deck without replacement? Express as a reduced fraction.

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Problem 8882

Calculate $\frac{734}{2}$ .

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Problem 8883

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

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Problem 8884

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

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Problem 8885

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

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Problem 8886

Find the probability of rolling a 3 or an odd number on a die. Express as a simplified fraction.

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Problem 8887

Find the probability of drawing a 6 or a red card from a deck. Express your answer as a reduced fraction.

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Problem 8888

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

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Problem 8889

Evaluate $6(12+4)$ .

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Problem 8890

Find the exact value of $\ln \mathrm{e}^{\sqrt{6}}$ using logarithm properties without a calculator.

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Problem 8891

Rewrite the expression as a sum/difference of logarithms: $\log_{6}\left(\frac{x-1}{x^{4}}\right)$ .

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Problem 8892

Find the exact value of $\log _{2} 11 \cdot \log _{11} 8$ using logarithm properties without a calculator.

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Problem 8893

Find $\log_{b} B^{2}$ if $\log_{b} A = 5$ and $\log_{b} B = -4$ .

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Problem 8894

Find $\log_{b} AB$ given that $\log_{b} A=5$ and $\log_{b} B=-2$ .

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Problem 8895

Find the exact value of $7^{\log_{7} 0.499}$ using logarithm properties without a calculator.

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Problem 8896

Find the value of $\ln e^{4}$ .

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Problem 8897

Find the exact value of $2 \ln e^{4.2}$ using logarithm properties without a calculator.

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Problem 8898

Combine the expression into one logarithm: $2 \log_{c} m - \frac{4}{3} \log_{c} n + \frac{1}{6} \log_{c} j - 6 \log_{c} k$ .

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Problem 8899

Find the exact value of the expression using logarithm properties: $\log_{3} 6 - \log_{3} 2$ .

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Problem 8900

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

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1 ...86 87 88 89 90 91 92 ...144

Expression

Problem 8801

Problem 8802

Question 34Divide: −6x7−4x3−2x22x2\frac{-6 x^{7}-4 x^{3}-2 x^{2}}{2 x^{2}}2x2−6x7−4x3−2x2​ □\square□ Question Help: Video

Problem 8803

Factor the polynomial completely. 9x2+48x+649 x^{2}+48 x+649x2+48x+64

Problem 8804

4) (x3−5x2−17x−65)÷(x−8)\left(x^{3}-5 x^{2}-17 x-65\right) \div(x-8)(x3−5x2−17x−65)÷(x−8)

Problem 8805

Problem 8806

Simplify completely: 1211+1112 \sqrt{11}+\sqrt{11}1211​+11​ Answer = □\square□

Problem 8807

Simplify completely: −511−1311+1411-5 \sqrt{11}-13 \sqrt{11}+14 \sqrt{11}−511​−1311​+1411​ Answer = □\square□

Problem 8808

Evaluate: [−24]÷[4(8−14)][-24] \div[4(8-14)][−24]÷[4(8−14)]

Problem 8809

Simplify the expression: (−6y3+12−9y)−(10−4y+5y3)(-6 y^{3}+12-9 y)-(10-4 y+5 y^{3})(−6y3+12−9y)−(10−4y+5y3).

Problem 8810

Rewrite the polynomial −8y7−y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}−8y7−y3+8+2y6 in descending order.

Problem 8811

Find the product of the binomial factor using the square of a binomial: (x+2)2(x+2)^{2}(x+2)2.

Problem 8812

What is the chemical symbol for the ion with electron configuration [He]2 s22p6[\mathrm{He}] 2 \mathrm{~s}^{2} 2 \mathrm{p}^{6}[He]2 s22p6?

Problem 8813

Write the electron configuration for a sodium ion (Na+^++).

Problem 8814

Find the degree of the polynomial −8y7−y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}−8y7−y3+8+2y6.

Problem 8815

Find the leading coefficient of the polynomial −8y7−y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}−8y7−y3+8+2y6.

Problem 8816

Multiply the polynomials: (5x2+y)(x2−3y)(5 x^{2}+y)(x^{2}-3 y)(5x2+y)(x2−3y).

Problem 8817

Simplify the expression (2x)2(2 x)^{2}(2x)2.

Problem 8818

Classify the expression −4y32−12x-4 y^{\frac{3}{2}}-12 x−4y23​−12x as a polynomial or non-polynomial.

Problem 8819

Calculate the product of the binomial factor using the square of a binomial: (x+1)2(x+1)^{2}(x+1)2.

Problem 8820

Rewrite the polynomial in descending order: 3y13−y6+7y3+73 y^{13} - y^{6} + 7 y^{3} + 73y13−y6+7y3+7.

Problem 8821

Explain how to represent division with 2-digit divisors in math problems.

Problem 8822

Factor the expression 121r2+4s2121 r^{2}+4 s^{2}121r2+4s2 in the complex number set.

Problem 8823

Calculate and simplify: (1+−49)−(29i−34)(1+\sqrt{-49})-(29 i-34)(1+−49​)−(29i−34) in the form a+bia+bia+bi.

Problem 8824

Is C4H8\mathrm{C}_{4} \mathrm{H}_{8}C4​H8​ an alkane? Answer yes or no.

Problem 8825

Calculate the absolute and relative change when support rises from 34%34\%34% to 55%55\%55%.

Problem 8826

Calculate the percent change for: 30 to 25, 25 to 30, \$3.12 to \$2.86, and \$2.86 to \$3.12. Round to the nearest tenth.

Problem 8827

Find the absolute and relative change in a car's value from \$34,400 to \$31,900. Round answers to the nearest dollar and tenth percent.

Problem 8828

A scientist measures 90.7 kg90.7 \mathrm{~kg}90.7 kg, while the true value is 60.0 kg60.0 \mathrm{~kg}60.0 kg. Find the absolute and relative error.

Problem 8829

A scientist measures 218kg218 \mathrm{kg}218kg; the true value is 200kg200 \mathrm{kg}200kg. Find absolute and relative error.

Problem 8830

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: 58,000,00065,000,000\frac{58,000,000}{65,000,000}65,000,00058,000,000​.

Problem 8831

Calculate the value of 9−2⋅4÷(−3−(−1))39-2 \cdot 4 \div (-3 - (-1))^{3}9−2⋅4÷(−3−(−1))3.

Problem 8832

Find the value of 7÷(q)2⋅22p⋅−p+6q−r−q\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}2p7÷(q)2⋅2​⋅−q−p+6q−r​ for p=4p=4p=4, q=12q=\frac{1}{2}q=21​, r=2r=2r=2.

Problem 8833

A politician's support rises from 37%37\%37% to 58%58\%58%. Find the absolute and relative change, rounded to the nearest tenth of a percent.

Problem 8834

Calculate the percent change for these cases: 30 to 25 (decrease), 25 to 30 (increase), \$3.12 to \$3 (decrease), \$3 to \$3.12 (increase).

Problem 8835

Find the length of FG‾\overline{F G}FG if GGG is the midpoint of FH‾\overline{F H}FH and you know the length of FH‾\overline{F H}FH.

Problem 8836

A scientist measures 1151cm31151 \mathrm{cm}^{3}1151cm3; true value is 1000cm31000 \mathrm{cm}^{3}1000cm3. Find absolute and relative error.

Problem 8837

Calculate the limit: lim⁡x→0(1−cos⁡2x2x)\lim _{x \rightarrow 0}\left(\frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}\right)limx→0​(2​x1−cos2x​​).

Problem 8838

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: 3952\frac{39}{52}5239​.

Problem 8839

A scientist measures 7.09 g⋅m−37.09 \mathrm{~g} \cdot \mathrm{m}^{-3}7.09 g⋅m−3; true value is 6.00 g⋅m−36.00 \mathrm{~g} \cdot \mathrm{m}^{-3}6.00 g⋅m−3. Find absolute and relative error.

Problem 8840

A scientist measures 744m744 \mathrm{m}744m; true value is 500m500 \mathrm{m}500m. Find absolute and relative error.

Problem 8841

Question 34
Divide: $\frac{-6 x^{7}-4 x^{3}-2 x^{2}}{2 x^{2}}$ $\square$ Question Help: Video

Factor the polynomial completely. $9 x^{2}+48 x+64$

4) $\left(x^{3}-5 x^{2}-17 x-65\right) \div(x-8)$

Simplify completely: $12 \sqrt{11}+\sqrt{11}$ Answer = $\square$

Simplify completely: $-5 \sqrt{11}-13 \sqrt{11}+14 \sqrt{11}$ Answer = $\square$

Evaluate: $[-24] \div[4(8-14)]$

Simplify the expression: $(-6 y^{3}+12-9 y)-(10-4 y+5 y^{3})$ .

Rewrite the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ in descending order.

Find the product of the binomial factor using the square of a binomial: $(x+2)^{2}$ .

What is the chemical symbol for the ion with electron configuration $[\mathrm{He}] 2 \mathrm{~s}^{2} 2 \mathrm{p}^{6}$ ?

Write the electron configuration for a sodium ion (Na $^+$ ).

Find the degree of the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ .

Find the leading coefficient of the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ .

Multiply the polynomials: $(5 x^{2}+y)(x^{2}-3 y)$ .

Simplify the expression $(2 x)^{2}$ .

Classify the expression $-4 y^{\frac{3}{2}}-12 x$ as a polynomial or non-polynomial.

Calculate the product of the binomial factor using the square of a binomial: $(x+1)^{2}$ .

Rewrite the polynomial in descending order: $3 y^{13} - y^{6} + 7 y^{3} + 7$ .

Factor the expression $121 r^{2}+4 s^{2}$ in the complex number set.

Calculate and simplify: $(1+\sqrt{-49})-(29 i-34)$ in the form $a+bi$ .

Is $\mathrm{C}_{4} \mathrm{H}_{8}$ an alkane? Answer yes or no.

Calculate the absolute and relative change when support rises from $34\%$ to $55\%$ .

A scientist measures $90.7 \mathrm{~kg}$ , while the true value is $60.0 \mathrm{~kg}$ . Find the absolute and relative error.

A scientist measures $218 \mathrm{kg}$ ; the true value is $200 \mathrm{kg}$ . Find absolute and relative error.

What fraction of New York's 65,000,000 visitors did Chicago's 58,000,000 represent? Calculate: $\frac{58,000,000}{65,000,000}$ .

Calculate the value of $9-2 \cdot 4 \div (-3 - (-1))^{3}$ .

Find the value of $\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}$ for $p=4$ , $q=\frac{1}{2}$ , $r=2$ .

A politician's support rises from $37\%$ to $58\%$ . Find the absolute and relative change, rounded to the nearest tenth of a percent.

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

A scientist measures $1151 \mathrm{cm}^{3}$ ; true value is $1000 \mathrm{cm}^{3}$ . Find absolute and relative error.

Calculate the limit: $\lim _{x \rightarrow 0}\left(\frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}\right)$ .

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

A scientist measures $7.09 \mathrm{~g} \cdot \mathrm{m}^{-3}$ ; true value is $6.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find absolute and relative error.

A scientist measures $744 \mathrm{m}$ ; true value is $500 \mathrm{m}$ . Find absolute and relative error.

Classify the number $-\sqrt{7}$ as natural, integer, rational, or real. Options: A, B, C, D.

Find the discount on an item with a face value of \ $4300 and a discount rate of 9\%. Calculate using$ 4300 \times 0.09$.

Identify the whole numbers from this list: A. $\pi$ , B. $\frac{2}{1}$ , C. $0 . \overline{25}$ , D. $\sqrt{2}$ , E. $-\frac{8}{9}$ , F. None.

Identify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

Evaluate the following expressions by hand:
A) $\sqrt{9-5}-\frac{8-4}{4-2}$ B) $\frac{13-\sqrt{9+16}}{|5-7|^{2}}$

What is true about the contrapositive of $\mathrm{p} \rightarrow q$ ? Options include its truth value and negation of $p$ and $q$ .

The inverse of the conditional proposition $p \rightarrow q$ is $\neg p \rightarrow \neg q$ .

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

Find the value of $5 x^{2}-6 x+\frac{1}{x}$ when $x=-2$ . Type an integer or a decimal.

Find the slope $m$ between the points $(10,-6.5)$ and $(0,-1.5)$ .

The expression $\frac{f(x+h)-f(x)}{h}$ is called the derivative of $f$ .

Which statements about the bi-conditional proposition $p \leftrightarrow q$ are true?

Which statement is equivalent to $p \leftrightarrow q$ ? Options: $q$ is necessary for $p$ , $p$ only if $q$ , $p$ if and only if $q$ , $\neg p \leftrightarrow \neg q$ .

Simplify the expression: $7(y-9)-2y$ .

Calculate the mass: $(4.3 \frac{\mathrm{mol}}{\mathrm{L}})(0.27 \mathrm{~L})(139.76 \frac{\mathrm{g}}{\mathrm{mol}})=$

A scientist measures $71.1 \mathrm{~m}$ ; true value is $50.0 \mathrm{~m}$ . Find absolute and relative error.

Find values of $p$ and $q$ for the false bi-conditional $p \leftrightarrow q$ . Options: True/False pairs.

Calculate $\frac{(2.40 \frac{\mathrm{g}}{\mathrm{mL}})(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}})}{(116.86 \frac{\mathrm{g}}{\mathrm{mol}})}$ .

Find the total mass of a material with density $2 \mathrm{~g} / \mathrm{cm}^{3}$ and volume $24 \mathrm{~cm}^{3}$ . Include units!

A scientist measures $22.4 \mathrm{~m}$ ; true value is $20.0 \mathrm{~m}$ . Find absolute and relative errors.

A scientist measures $3.93 \mathrm{~g} \cdot \mathrm{m}^{-3}$ while the true value is $7.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find the absolute and relative error.

Calculate the absolute and relative error for a measurement of $581 \mathrm{g} \cdot \mathrm{m}^{-3}$ vs. true value $500 \mathrm{g} \cdot \mathrm{m}^{-3}$ .

Calculate the absolute and relative error for a measurement of $5.22 \mathrm{~m}$ when the true value is $9.00 \mathrm{~m}$ .

Rewrite the expression as a sum/difference of logarithms: $\log _{2}\left(\frac{x^{4}}{y^{6}}\right)$

Subtract: $-\frac{1}{2}-\frac{3}{8}$

A scientist measures $536 \, \mathrm{g} \, \mathrm{m}^{-3}$ ; true value is $1000 \, \mathrm{g} \, \mathrm{m}^{-3}$ . Find absolute and relative error.

Evaluate the following expressions: $0 \div 9$ and $\frac{8}{0}$ . Click "Undefined" if applicable.

Calculate the absolute and relative error for a measurement of $11.49 \mathrm{~kg}$ when the true value is $8.00 \mathrm{~kg}$ .

Find the value of $\log _{4} 1$ .