Expression

Problem 8501

Divide 72 by 5, then divide that result by 7. What is the final answer?

See Solution

Problem 8502

Divide 72 in the ratio of $5:7$ .

See Solution

Problem 8503

Calculate $29 \cdot 40$ and then find $29 \cdot 40 \div 12$ .

See Solution

Problem 8504

Convert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ .

See Solution

Problem 8505

Calculate $29 \cdot 40 \div 12$ .

See Solution

Problem 8506

Convert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ . Also, simplify: $2.9 \times 10^{5}$ , $56 \times 10^{-4}$ .

See Solution

Problem 8507

Round the numbers 2005.0043 and 0.010908 to 3 significant figures and express them in scientific notation.

See Solution

Problem 8508

Convert the following numbers to integers or decimals: 1) $2.9 \times 10^{5}$ , 2) $56 \times 10^{-4}$ , 3) $0.274 \times 10^{8}$ , 4) $0.00338 \times 10^{-3}$ .

See Solution

Problem 8509

Evaluate the following without a calculator and express in scientific notation:
1. $0.0025 \times 10^{7}-1.07 \times 10^{5}$
2. $9 \times 10^{6}+2.4 \times 10^{7}$
3. $(0.0034)(2.5 \times 10^{-7})$
4. $1.44 \times 10^{-8} \div 0.000024$

See Solution

Problem 8510

Express $1058_{10}$ in expanded form and identify the place value of the digit '1' in 105810.

See Solution

Problem 8511

Evaluate these expressions without a calculator and express answers in scientific notation:
1. $0.0025 \times 10^{7}-1.07 \times 10^{5}$
2. $9 \times 10^{6}+2.4 \times 10^{7}$
3. $(0.0034)(2.5 \times 10^{-7})$
4. $1.44 \times 10^{-8} \div 0.000024$

See Solution

Problem 8512

Convert the following binary numbers to decimal: 39. $10112$ and 40. $11101_{2}$ .

See Solution

Problem 8513

Calculate $8.12 \times 10^{6} \times 4.7 \times 10^{3}$ using scientific notation. Give your answer with correct significant figures.

See Solution

Problem 8514

Convert 41 and 21 from decimal to binary: 41 and $21_{10}$ .

See Solution

Problem 8515

Arrange $2^{16}, 4^{7}, 8^{5}$ , and $64^{3}$ in ascending order with " $<$ ".

See Solution

Problem 8516

Calculate the limit: $\lim _{x \rightarrow+\infty} \frac{2-x}{3}(x^{3}-1)$ .

See Solution

Problem 8517

Find the atom counts in the formula for aluminum sulfate $=\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ .

See Solution

Problem 8518

Simplify $4^{7}, 8^{5}, 2^{16}, 64^{3}$ and the expressions in problems 44 and 45 with positive indices.

See Solution

Problem 8519

Express $\left(\frac{1}{125}\right)^{600}$ as $5^{n}$ for some integer $n$ .

See Solution

Problem 8520

Express $4^{x+1}+12(4^{x})$ as a power of $4$ . Then simplify $\frac{(4^{3 x})(5^{6 x})}{10^{4 x}}$ as a power of $10$ .

See Solution

Problem 8521

Simplify $2(3^{n+2}) - 2(3^{n})$ and then $\frac{2(3^{n+2}) - 2(3^{n})}{6 \times 3^{n-1}}$ .

See Solution

Problem 8522

Convert $2 \times 4^{4}+8^{3}-5 \times 2^{2}-2$ to binary.

See Solution

Problem 8523

Find and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=4x$ , where $h \neq 0$ .

See Solution

Problem 8524

Find the number of ways to wear one bracelet and one necklace from 6 bracelets and 15 necklaces.

See Solution

Problem 8525

Find and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=\frac{2}{x}$ , where $h \neq 0$ .

See Solution

Problem 8526

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': $P(a) = \frac{3}{7}$ .

See Solution

Problem 8527

Calculate the volume of a triangular prism with side lengths of 8yd, 10yd, and 12yd.

See Solution

Problem 8528

Find the probability of spinning an even number and flipping heads with a spinner and a coin.

See Solution

Problem 8529

Calculate the volume of a rectangular prism with dimensions 20 in, 10 in, and 12 in using the formula $V = l \times w \times h$ .

See Solution

Problem 8530

In the figure, lines $A C$ and $B D$ intersect at $E$ . Given $\angle A C B=32^{\circ}$ and $\angle A E D=108^{\circ}$ , find $\angle B A C$ .

See Solution

Problem 8531

In triangle $ABC$ , with points $D$ on $AB$ and $E$ on $BC$ , find angles given $\angle ABC=28^{\circ}$ , $\angle BED=38^{\circ}$ . (a) Find $\angle ACD$ . (b) Express $\angle DFE$ in terms of $\theta$ where $\angle CAE=\theta$ .

See Solution

Problem 8532

Find the supplementary angle of $\frac{(14x+2)^\circ}{(11x+3)^\circ}$ when $x=19$ .

See Solution

Problem 8533

Calculate $93 \times 65$ .

See Solution

Problem 8534

Find $\lim _{x \rightarrow 5}(f(-x)+3 g(x))$ given $\lim _{x \rightarrow-5} f(x)=4$ , $\lim _{x \rightarrow 5} f(x)=2$ , $\lim _{x \rightarrow 5} g(x)=5$ .

See Solution

Problem 8535

Carly has a white cord of length $4.3$ feet and a green cord of length $7.3$ feet. What is their total length when connected?

See Solution

Problem 8536

Calculate the product: $P = \frac{-3}{5} \cdot \frac{2}{-7} \cdot \frac{-5}{8} \cdot \frac{3}{-10}$ .

See Solution

Problem 8537

How much more pepperoni than sausage did the chef use if he used $114 / 5$ packages of pepperoni and $41 / 3$ packages of sausage?

See Solution

Problem 8538

Calculate $(-13)+(-7)[(-2)(-3)]-[(-7)(-3)](-2)$ .

See Solution

Problem 8539

Calculate $6 \cdot(-7)\cdot[(-2)\cdot(-3)]-[-(-7)\cdot(-3)]\cdot(-2)$ .

See Solution

Problem 8540

Simplify the expression: $(9 x^{2}+9-3 x)-(4-6 x+8 x^{2})$ .

See Solution

Problem 8541

How much longer is Tammy's drive ( $\frac{2}{3}$ hour) than Nina's ( $\frac{1}{4}$ hour)? Answer as a fraction or mixed number.

See Solution

Problem 8542

Calculate the value of $2.75+\sqrt{2}-\sqrt{2}+75$ .

See Solution

Problem 8543

Calculate: $5 \cdot(-13) + 45 - (-45) + 13$

See Solution

Problem 8544

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

See Solution

Problem 8545

Express the complex number in standard form $a+bi$ :
$\frac{\left(3 \mid 150^{\circ}\right)}{\left(2 \mid 30^{\circ}\right)\left(0.5 \mid 10^{\circ}\right)}$

See Solution

Problem 8546

Find the sum of $5.3 \times 10^{5}$ and $3.8 \times 10^{4}$ in scientific notation.

See Solution

Problem 8547

Approximate $\frac{617}{15}$ by rounding and truncating to three decimal places.

See Solution

Problem 8548

Convert 1234.5678 to scientific notation.

See Solution

Problem 8549

What is the probability of moving forward an even number of spaces when spinning a pointer and rolling a number cube?

See Solution

Problem 8550

Calculate the expression $4 x y^{-1}$ for $x=9$ and $y=-2$ .

See Solution

Problem 8551

Reflect the point $P(-6,6)$ over the $y$ -axis. What are the coordinates of $P^{\prime}$ ?

See Solution

Problem 8552

Identify the different isotope from the following: ${ }_{12}^{25} X, { }_{13}^{25} X, { }_{11}^{25} X, { }_{12}^{25} X, { }_{25}^{12} X$ .

See Solution

Problem 8553

Find the number of electrons, protons, and neutrons in the isotope $^{192}_{77}\mathrm{Ir}$ .

See Solution

Problem 8554

Simplify the expression and ensure all exponents are positive:
$\frac{(-5)^{3} x^{3}(y z)^{4}}{(2)^{3} x y^{8} z}$

See Solution

Problem 8555

Find the number of neutrons in the isotope ${ }_{76}^{190} \mathrm{Os}$ (integer value).

See Solution

Problem 8556

Multiply the polynomial $(-3 x^{2}-5)$ by the monomial $-3 x$ using the distributive property.

See Solution

Problem 8557

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

See Solution

Problem 8558

Simplify the expression: $\frac{(-5)^{3} x^{7}(y z)^{3}}{(4)^{2} x^{5} y^{7} z^{2}}$

See Solution

Problem 8559

Multiply the binomials using FOIL and combine like terms: $(x-1)(x+3)$ .

See Solution

Problem 8560

Multiply and simplify: $3x(2x+5) + 2(2x+5)$ .

See Solution

Problem 8561

Multiply the polynomials and combine like terms: $(-x+1)(5 x^{2}-4 x-8)$

See Solution

Problem 8562

Simplify the expression $\frac{x^{4} y^{4}}{x^{2} y^{5}}$ assuming bases are not 0 for 0 or negative exponents.

See Solution

Problem 8563

Multiply the polynomials $(x-1)(8x+9)$ using the distributive property and combine like terms.

See Solution

Problem 8564

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches. Simplify your expression.

See Solution

Problem 8565

Multiply and simplify: $3 x^{2}(9 x^{5}-4 x^{2}+5)$

See Solution

Problem 8566

Multiply the polynomials and combine like terms: $(x+4)(x+3)$ .

See Solution

Problem 8567

Simplify the expression $\left(x^{8} y^{-4}\right)^{3}$ .

See Solution

Problem 8568

Simplify the expression $\left(x^{9} y^{-8}\right)^{3}$ .

See Solution

Problem 8569

Simplify the expression: $\left(3 g^{6}\right)^{3}$ .

See Solution

Problem 8570

Multiply the polynomials and combine like terms: $(7x - 5)(x + 2)$ .

See Solution

Problem 8571

Identify values to exclude from the domain of $\frac{x}{x^{2}-4}$ . Options: $x=0$ , $x=-2$ , $x=-1$ , $x=2$ , None.

See Solution

Problem 8572

Find values to exclude from the domain of $\frac{x^{2}+7 x-11}{x^{3}-4 x}$ . Options: $x=2$ , $x=11$ , $x=-2$ , $x=0$ . Select all that apply.

See Solution

Problem 8573

Calculate $(-12)^{2}$ .

See Solution

Problem 8574

Simplify the expression: $(2^{-2})^{-3}$ .

See Solution

Problem 8575

Calculate the hourly temperature drop if it decreases by 24.8 degrees in $6 \frac{1}{4}$ hours.

See Solution

Problem 8576

Identify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) $2x=6$ d) $5+5=5$ .

See Solution

Problem 8577

Find the converse, inverse, and contrapositive of: "If you visit your grandparents, then you can go to the park."

See Solution

Problem 8578

How many pounds of chicken are needed for one serving if a recipe for 3 servings requires $3 \frac{3}{7}$ pounds?

See Solution

Problem 8579

Find the limit as $x$ approaches 2 for the expression $x^{2} - 4x + 3$ .

See Solution

Problem 8580

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches.

See Solution

Problem 8581

Multiply the binomials using FOIL and combine like terms: $(x+9)(x-8)$ .

See Solution

Problem 8582

Multiply and simplify: $-5 x^{2}(9 x^{3}+6 x^{2}-5)$

See Solution

Problem 8583

Find the limit: $\lim _{x \rightarrow \frac{\pi}{3}} \frac{\sin 2 x}{\sin x}$ .

See Solution

Problem 8584

Multiply and simplify: $4 x^{2}(9 x^{4}-5 x^{3}+4)$ .

See Solution

Problem 8585

Compare $-2 \times 3$ with 0 using $<$ , $>$ , or $=$ .

See Solution

Problem 8586

Multiply and simplify: $5x(5x+2) + 4(5x+2)$ .

See Solution

Problem 8587

Multiply and simplify: $-2 x^{6}(5 x^{6}+3 x^{3}+7)$

See Solution

Problem 8588

Multiply the polynomials $(x+7)(x+1)$ using the distributive property and combine like terms.

See Solution

Problem 8589

Solve: $0.53 \div 0.05 + 5.20$

See Solution

Problem 8590

Simplify the expression: $7s - 3s$ .

See Solution

Problem 8591

Simplify the expression by combining like terms: $-3x + 9x$ .

See Solution

Problem 8592

Identify the first term in $6a + 6$ . Is it a variable or constant term? If variable, state the coefficient.

See Solution

Problem 8593

Evaluate $(x+y)^{2}-9z$ at $x=4, y=-4, z=-4$ and simplify.

See Solution

Problem 8594

Evaluate and simplify the expression $-3(y-5)-2(y+1)$ for $y=2$ .

See Solution

Problem 8595

Simplify $\left(\frac{3 a}{b^{-3}}\right)^{3}$ using only positive exponents.

See Solution

Problem 8596

Find the sum of $24.68 + 12.138 + 2.14$ and estimate by rounding to the nearest whole number. Exact answer: $\square$ .

See Solution

Problem 8597

Calculate and round the result of $\frac{8.828-9.973}{\sqrt{24.675}}$ to two decimal places.

See Solution

Problem 8598

1. Calculate $1 \frac{3}{4}-\frac{4}{5}$ . What is the result?
2. Find the product of $\frac{3}{5}$ and $\frac{5}{6}$ in simplest form.
3. Convert 0.35 to a fraction in lowest terms.
4. Express 0.35 as a percentage.
5. Identify the equivalent of $2.3\%$ .

See Solution

Problem 8599

Calculate and round the result of $\frac{2.653-4.117}{\sqrt{16.168}}$ to two decimal places.

See Solution

Problem 8600

Simplify the expression with positive exponents: $s^{8} \cdot s^{5}$ .

See Solution

1 ...83 84 85 86 87 88 89 ...144

Expression

Problem 8501

Divide 72 by 5, then divide that result by 7. What is the final answer?

Problem 8502

Divide 72 in the ratio of 5:75:75:7.

Problem 8503

Calculate 29⋅4029 \cdot 4029⋅40 and then find 29⋅40÷1229 \cdot 40 \div 1229⋅40÷12.

Problem 8504

Convert these numbers to scientific notation: 0.00000056, -193.47, 0.0531×1080.0531 \times 10^{8}0.0531×108, −3671×105-3671 \times 10^{5}−3671×105.

Problem 8505

Calculate 29⋅40÷1229 \cdot 40 \div 1229⋅40÷12.

Problem 8506

Convert these numbers to scientific notation: 0.00000056, -193.47, 0.0531×1080.0531 \times 10^{8}0.0531×108, −3671×105-3671 \times 10^{5}−3671×105. Also, simplify: 2.9×1052.9 \times 10^{5}2.9×105, 56×10−456 \times 10^{-4}56×10−4.

Problem 8507

Round the numbers 2005.0043 and 0.010908 to 3 significant figures and express them in scientific notation.

Problem 8508

Convert the following numbers to integers or decimals: 1) 2.9×1052.9 \times 10^{5}2.9×105, 2) 56×10−456 \times 10^{-4}56×10−4, 3) 0.274×1080.274 \times 10^{8}0.274×108, 4) 0.00338×10−30.00338 \times 10^{-3}0.00338×10−3.

Problem 8509

Problem 8510

Express 1058101058_{10}105810​ in expanded form and identify the place value of the digit '1' in 105810.

Problem 8511

Problem 8512

Convert the following binary numbers to decimal: 39. 101121011210112 and 40. 11101211101_{2}111012​.

Problem 8513

Calculate 8.12×106×4.7×1038.12 \times 10^{6} \times 4.7 \times 10^{3}8.12×106×4.7×103 using scientific notation. Give your answer with correct significant figures.

Problem 8514

Convert 41 and 21 from decimal to binary: 41 and 211021_{10}2110​.

Problem 8515

Arrange 216,47,852^{16}, 4^{7}, 8^{5}216,47,85, and 64364^{3}643 in ascending order with "<<<".

Problem 8516

Calculate the limit: lim⁡x→+∞2−x3(x3−1)\lim _{x \rightarrow+\infty} \frac{2-x}{3}(x^{3}-1)limx→+∞​32−x​(x3−1).

Problem 8517

Find the atom counts in the formula for aluminum sulfate =Al2(SO4)3=\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}=Al2​(SO4​)3​.

Problem 8518

Simplify 47,85,216,6434^{7}, 8^{5}, 2^{16}, 64^{3}47,85,216,643 and the expressions in problems 44 and 45 with positive indices.

Problem 8519

Express (1125)600\left(\frac{1}{125}\right)^{600}(1251​)600 as 5n5^{n}5n for some integer nnn.

Problem 8520

Express 4x+1+12(4x)4^{x+1}+12(4^{x})4x+1+12(4x) as a power of 444. Then simplify (43x)(56x)104x\frac{(4^{3 x})(5^{6 x})}{10^{4 x}}104x(43x)(56x)​ as a power of 101010.

Problem 8521

Simplify 2(3n+2)−2(3n)2(3^{n+2}) - 2(3^{n})2(3n+2)−2(3n) and then 2(3n+2)−2(3n)6×3n−1\frac{2(3^{n+2}) - 2(3^{n})}{6 \times 3^{n-1}}6×3n−12(3n+2)−2(3n)​.

Problem 8522

Convert 2×44+83−5×22−22 \times 4^{4}+8^{3}-5 \times 2^{2}-22×44+83−5×22−2 to binary.

Problem 8523

Find and simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=4xf(x)=4xf(x)=4x, where h≠0h \neq 0h=0.

Problem 8524

Find the number of ways to wear one bracelet and one necklace from 6 bracelets and 15 necklaces.

Problem 8525

Find and simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=2xf(x)=\frac{2}{x}f(x)=x2​, where h≠0h \neq 0h=0.

Problem 8526

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': P(a)=37P(a) = \frac{3}{7}P(a)=73​.

Problem 8527

Calculate the volume of a triangular prism with side lengths of 8yd, 10yd, and 12yd.

Problem 8528

Find the probability of spinning an even number and flipping heads with a spinner and a coin.

Problem 8529

Calculate the volume of a rectangular prism with dimensions 20 in, 10 in, and 12 in using the formula V=l×w×hV = l \times w \times hV=l×w×h.

Problem 8530

In the figure, lines ACA CAC and BDB DBD intersect at EEE. Given ∠ACB=32∘\angle A C B=32^{\circ}∠ACB=32∘ and ∠AED=108∘\angle A E D=108^{\circ}∠AED=108∘, find ∠BAC\angle B A C∠BAC.

Problem 8531

Problem 8532

Find the supplementary angle of (14x+2)∘(11x+3)∘\frac{(14x+2)^\circ}{(11x+3)^\circ}(11x+3)∘(14x+2)∘​ when x=19x=19x=19.

Problem 8533

Calculate 93×6593 \times 6593×65.

Problem 8534

Problem 8535

Carly has a white cord of length 4.34.34.3 feet and a green cord of length 7.37.37.3 feet. What is their total length when connected?

Problem 8536

Calculate the product: P=−35⋅2−7⋅−58⋅3−10P = \frac{-3}{5} \cdot \frac{2}{-7} \cdot \frac{-5}{8} \cdot \frac{3}{-10}P=5−3​⋅−72​⋅8−5​⋅−103​.

Problem 8537

How much more pepperoni than sausage did the chef use if he used 114/5114 / 5114/5 packages of pepperoni and 41/341 / 341/3 packages of sausage?

Problem 8538

Calculate (−13)+(−7)[(−2)(−3)]−[(−7)(−3)](−2)(-13)+(-7)[(-2)(-3)]-[(-7)(-3)](-2)(−13)+(−7)[(−2)(−3)]−[(−7)(−3)](−2).

Problem 8539

Calculate 6⋅(−7)⋅[(−2)⋅(−3)]−[−(−7)⋅(−3)]⋅(−2)6 \cdot(-7)\cdot[(-2)\cdot(-3)]-[-(-7)\cdot(-3)]\cdot(-2)6⋅(−7)⋅[(−2)⋅(−3)]−[−(−7)⋅(−3)]⋅(−2).

Problem 8540

Simplify the expression: (9x2+9−3x)−(4−6x+8x2)(9 x^{2}+9-3 x)-(4-6 x+8 x^{2})(9x2+9−3x)−(4−6x+8x2).

Problem 8541

How much longer is Tammy's drive (23\frac{2}{3}32​ hour) than Nina's (14\frac{1}{4}41​ hour)? Answer as a fraction or mixed number.

Problem 8542

Divide 72 in the ratio of $5:7$ .

Calculate $29 \cdot 40$ and then find $29 \cdot 40 \div 12$ .

Convert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ .

Calculate $29 \cdot 40 \div 12$ .

Convert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ . Also, simplify: $2.9 \times 10^{5}$ , $56 \times 10^{-4}$ .

Convert the following numbers to integers or decimals: 1) $2.9 \times 10^{5}$ , 2) $56 \times 10^{-4}$ , 3) $0.274 \times 10^{8}$ , 4) $0.00338 \times 10^{-3}$ .

Express $1058_{10}$ in expanded form and identify the place value of the digit '1' in 105810.

Convert the following binary numbers to decimal: 39. $10112$ and 40. $11101_{2}$ .

Calculate $8.12 \times 10^{6} \times 4.7 \times 10^{3}$ using scientific notation. Give your answer with correct significant figures.

Convert 41 and 21 from decimal to binary: 41 and $21_{10}$ .

Arrange $2^{16}, 4^{7}, 8^{5}$ , and $64^{3}$ in ascending order with " $<$ ".

Calculate the limit: $\lim _{x \rightarrow+\infty} \frac{2-x}{3}(x^{3}-1)$ .

Find the atom counts in the formula for aluminum sulfate $=\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ .

Simplify $4^{7}, 8^{5}, 2^{16}, 64^{3}$ and the expressions in problems 44 and 45 with positive indices.

Express $\left(\frac{1}{125}\right)^{600}$ as $5^{n}$ for some integer $n$ .

Express $4^{x+1}+12(4^{x})$ as a power of $4$ . Then simplify $\frac{(4^{3 x})(5^{6 x})}{10^{4 x}}$ as a power of $10$ .

Simplify $2(3^{n+2}) - 2(3^{n})$ and then $\frac{2(3^{n+2}) - 2(3^{n})}{6 \times 3^{n-1}}$ .

Convert $2 \times 4^{4}+8^{3}-5 \times 2^{2}-2$ to binary.

Find and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=4x$ , where $h \neq 0$ .

Find and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=\frac{2}{x}$ , where $h \neq 0$ .

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': $P(a) = \frac{3}{7}$ .

Calculate the volume of a rectangular prism with dimensions 20 in, 10 in, and 12 in using the formula $V = l \times w \times h$ .

In the figure, lines $A C$ and $B D$ intersect at $E$ . Given $\angle A C B=32^{\circ}$ and $\angle A E D=108^{\circ}$ , find $\angle B A C$ .

Find the supplementary angle of $\frac{(14x+2)^\circ}{(11x+3)^\circ}$ when $x=19$ .

Calculate $93 \times 65$ .

Carly has a white cord of length $4.3$ feet and a green cord of length $7.3$ feet. What is their total length when connected?

Calculate the product: $P = \frac{-3}{5} \cdot \frac{2}{-7} \cdot \frac{-5}{8} \cdot \frac{3}{-10}$ .

How much more pepperoni than sausage did the chef use if he used $114 / 5$ packages of pepperoni and $41 / 3$ packages of sausage?

Calculate $(-13)+(-7)[(-2)(-3)]-[(-7)(-3)](-2)$ .

Calculate $6 \cdot(-7)\cdot[(-2)\cdot(-3)]-[-(-7)\cdot(-3)]\cdot(-2)$ .

Simplify the expression: $(9 x^{2}+9-3 x)-(4-6 x+8 x^{2})$ .

How much longer is Tammy's drive ( $\frac{2}{3}$ hour) than Nina's ( $\frac{1}{4}$ hour)? Answer as a fraction or mixed number.

Calculate the value of $2.75+\sqrt{2}-\sqrt{2}+75$ .

Calculate: $5 \cdot(-13) + 45 - (-45) + 13$

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

Express the complex number in standard form $a+bi$ :
$\frac{\left(3 \mid 150^{\circ}\right)}{\left(2 \mid 30^{\circ}\right)\left(0.5 \mid 10^{\circ}\right)}$

Find the sum of $5.3 \times 10^{5}$ and $3.8 \times 10^{4}$ in scientific notation.

Approximate $\frac{617}{15}$ by rounding and truncating to three decimal places.

Calculate the expression $4 x y^{-1}$ for $x=9$ and $y=-2$ .

Reflect the point $P(-6,6)$ over the $y$ -axis. What are the coordinates of $P^{\prime}$ ?

Identify the different isotope from the following: ${ }_{12}^{25} X, { }_{13}^{25} X, { }_{11}^{25} X, { }_{12}^{25} X, { }_{25}^{12} X$ .

Find the number of electrons, protons, and neutrons in the isotope $^{192}_{77}\mathrm{Ir}$ .

Simplify the expression and ensure all exponents are positive:
$\frac{(-5)^{3} x^{3}(y z)^{4}}{(2)^{3} x y^{8} z}$

Find the number of neutrons in the isotope ${ }_{76}^{190} \mathrm{Os}$ (integer value).

Multiply the polynomial $(-3 x^{2}-5)$ by the monomial $-3 x$ using the distributive property.

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

Simplify the expression: $\frac{(-5)^{3} x^{7}(y z)^{3}}{(4)^{2} x^{5} y^{7} z^{2}}$

Multiply the binomials using FOIL and combine like terms: $(x-1)(x+3)$ .

Multiply and simplify: $3x(2x+5) + 2(2x+5)$ .

Multiply the polynomials and combine like terms: $(-x+1)(5 x^{2}-4 x-8)$

Simplify the expression $\frac{x^{4} y^{4}}{x^{2} y^{5}}$ assuming bases are not 0 for 0 or negative exponents.

Multiply the polynomials $(x-1)(8x+9)$ using the distributive property and combine like terms.

Find the area of a poster with length $6x$ inches and width $5x + 6$ inches. Simplify your expression.

Multiply and simplify: $3 x^{2}(9 x^{5}-4 x^{2}+5)$

Multiply the polynomials and combine like terms: $(x+4)(x+3)$ .

Simplify the expression $\left(x^{8} y^{-4}\right)^{3}$ .

Simplify the expression $\left(x^{9} y^{-8}\right)^{3}$ .

Simplify the expression: $\left(3 g^{6}\right)^{3}$ .

Multiply the polynomials and combine like terms: $(7x - 5)(x + 2)$ .

Identify values to exclude from the domain of $\frac{x}{x^{2}-4}$ . Options: $x=0$ , $x=-2$ , $x=-1$ , $x=2$ , None.

Find values to exclude from the domain of $\frac{x^{2}+7 x-11}{x^{3}-4 x}$ . Options: $x=2$ , $x=11$ , $x=-2$ , $x=0$ . Select all that apply.

Calculate $(-12)^{2}$ .

Simplify the expression: $(2^{-2})^{-3}$ .