Math

Problem 65701

Evaluate: $2 \cdot 4 + (8 + 1)^{2}$ .

See Solution

Problem 65702

Find the $y$ -intercept and slope of the line $-6x - y = -1$ . Provide answers in simplest form.

See Solution

Problem 65703

Find the additive and multiplicative inverses of 8. a) Additive inverse: $-8$ ; b) Choose: A. $1/8$ or B. No inverse.

See Solution

Problem 65704

Calculate the expression using order of operations: $9+[8+(2 \cdot 2+3)] \div 5$ .

See Solution

Problem 65705

Find the additive and multiplicative inverses of 8.
a) Additive inverse:
b) Multiplicative inverse: $\frac{1}{8}$

See Solution

Problem 65706

Simplify the expression using order of operations: $-1-[6-(-1 \cdot 7-5)] \div(-2)$ .

See Solution

Problem 65707

Find the standard matrix for the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ that rotates points by $-\frac{5 \pi}{4}$ radians. $A=$

See Solution

Problem 65708

Is 4328 divisible by 9?

See Solution

Problem 65709

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

See Solution

Problem 65710

Simplify the expression: $(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})$ .

See Solution

Problem 65711

Check if 4328 is divisible by 2, 3, 4, 5, 6, 8, 10, and 1. What about 4328 divisible by ??

See Solution

Problem 65712

Evaluate the expression: $-10^{2}$ .

See Solution

Problem 65713

Find the prime factorization of 676, using exponents for repeated factors.

See Solution

Problem 65714

Find the standard matrix of the linear transformation $T$ that reflects points first through $x_{2}=-x_{1}$ and then the $x_{2}$ -axis. $A=$ (Enter values for each matrix element.)

See Solution

Problem 65715

Find the least common multiple (LCM) of 84 and 56.

See Solution

Problem 65716

Find the limit: $\lim _{x \rightarrow e}(x \ln x - x)$ .

See Solution

Problem 65717

Simplify the expression $\frac{4}{4^{-1}}$ using exponent properties and show only positive exponents.

See Solution

Problem 65718

Simplify the expression: $(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2})$ .

See Solution

Problem 65719

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

See Solution

Problem 65720

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-8 x_{2}+5 x_{3}, x_{2}-7 x_{3}\right)$ . $A=$

See Solution

Problem 65721

Solve for $x$ in the equation $4(x-b)=x$ .

See Solution

Problem 65722

Find the equation of the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

See Solution

Problem 65723

Find the additive inverse and multiplicative inverse of the expression $-\frac{2}{5}$ .

See Solution

Problem 65724

Calculate the limit: $\lim _{x \rightarrow e}(x \ln x - x)$

See Solution

Problem 65725

Is the Hotel Capitale's weekly rate of 85,010 RP mid-range compared to \ $125 to \$175? Use$ 1 \mathrm{RP}=\ $0.0147$ to calculate.

See Solution

Problem 65726

Find the common divisor of 70 and 385.

See Solution

Problem 65727

Simplify $3^{5} \cdot 3^{-7}$ using exponent properties, showing only positive exponents.

See Solution

Problem 65728

Simplify the expression: $(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2})$ .

See Solution

Problem 65729

Identify the property shown: $20c \cdot 1 = 20c$ . Options: inverse, commutative, associative, distributive, identity.

See Solution

Problem 65730

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

See Solution

Problem 65731

Identify the property shown in: $5(z+4)=5z+20$ . Options: A. distributive, B. associative addition, C. associative multiplication, D. commutative multiplication.

See Solution

Problem 65732

Find the limit: $\lim _{x \rightarrow 0} \ln \left(e^{x+1}\right)$ .

See Solution

Problem 65733

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

See Solution

Problem 65734

Identify the property shown by $3 z \cdot \frac{1}{3 z}=1$ . Choose from: A. inverse multiplication B. identity multiplication C. identity addition D. inverse addition.

See Solution

Problem 65735

Simplify $x^{-3}$ using exponent rules, expanding numerical parts and using only positive exponents.

See Solution

Problem 65736

Given $A=\left[\begin{array}{ccc}\frac{1}{3} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{3}\end{array}\right]$ , $u=\left[\begin{array}{r}9 \\ 12 \\ -15\end{array}\right]$ , find $T(u)$ and $T(v)$ for $T(\mathbf{x})=A \mathbf{x}$ .

See Solution

Problem 65737

Simplify the expression: $(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4})$ .

See Solution

Problem 65738

Calculate the expression using order of operations: $4^{2}-18 \div 3^{2} \times 4-24$ .

See Solution

Problem 65739

Find the equation of the line given that it passes through (6, 0). Use $y=3x+b$ to find $b$ .

See Solution

Problem 65740

A glacier advanced 3.2 inches in 116 minutes. How many feet will it advance in one year? Round to the nearest hundred.

See Solution

Problem 65741

How many rows and columns must matrix $A$ have to map $\mathbb{R}^{8}$ to $\mathbb{R}^{9}$ using $T(x)=A x$ ? A. 9 rows, 9 columns B. 9 rows, 8 columns C. 8 rows, 8 columns D. 8 rows, 9 columns

See Solution

Problem 65742

Simplify $\frac{x^{-1}}{x^{8}}$ using exponent properties and show only positive exponents.

See Solution

Problem 65743

Graph the line with slope -3 and y-intercept -2.

See Solution

Problem 65744

Complete the equation using the distributive property: $7(x+y+3)=$ $7(x+y+3)=7x+7y+21$

See Solution

Problem 65745

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

See Solution

Problem 65746

Name the following ionic compounds: $\mathrm{NH}_{4} \mathrm{OH}$ , $\mathrm{CoCO}_{3}$ , $\mathrm{BaF}_{2}$ , $\left(\mathrm{NH}_{4}\right)_{3} \mathrm{PO}_{4}$ , $\mathrm{Cul}_{2}$ , $\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}$ .

See Solution

Problem 65747

Find the elevation difference between a mountain at 16,933 feet and a valley at $-\frac{3}{6}$ feet.

See Solution

Problem 65748

Simplify $4^{0} \cdot 4^{2}$ using exponent rules and show only positive exponents.

See Solution

Problem 65749

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

See Solution

Problem 65750

Find all $\mathbf{x}$ in $\mathbb{R}^{4}$ such that $A \mathbf{x} = \mathbf{0}$ for the matrix $A = \begin{bmatrix} 1 & 4 & 16 & 8 \\ 1 & 0 & 4 & -4 \\ 0 & 1 & 3 & 4 \\ -2 & 0 & -8 & -4 \end{bmatrix}$ .

See Solution

Problem 65751

Identify the property shown: $q \cdot(p-r)=(q \cdot p) \cdot r$ . Choose: A. addition, B. multiplication commutative, C. multiplication associative, D. distributive.

See Solution

Problem 65752

Find the radius of a circle with circumference $22 \mathrm{~m}$ . Round to the nearest tenth if needed.

See Solution

Problem 65753

Simplify the expression $\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}}$ using exponent properties, ensuring positive exponents.

See Solution

Problem 65754

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

See Solution

Problem 65755

Find the additive and multiplicative inverses of $-\frac{7}{8}$ . a) Additive inverse: $\square$ . b) Multiplicative inverse: A. $\square$ or B. No inverse.

See Solution

Problem 65756

Convert the engine volume of $4320 \mathrm{~cm}^{3}$ to cubic inches.

See Solution

Problem 65757

Approximate the total candy bars purchased in one year if 1.2 thousand are bought per minute. Use $5.3 \times 10^5$ minutes/year.

See Solution

Problem 65758

Rewrite the equation in standard form: $y + 1 = \frac{2}{3}(x + 3)$

See Solution

Problem 65759

Complete the equation to show the identity property of multiplication: $\left(\frac{5}{6} n\right)(1)=\square$

See Solution

Problem 65760

Name the following transition metal ions: $\mathrm{Fe}^{3+}$ , $\mathrm{Cu}^{+}$ , $\mathrm{Zn}^{2+}$ , $\mathrm{Fe}^{2+}$ , $\mathrm{Ti}^{4+}$ .

See Solution

Problem 65761

Graph the line with y-intercept 1 and slope 4.

See Solution

Problem 65762

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

See Solution

Problem 65763

Simplify $1^{0}$ using exponent properties and show only positive exponents.

See Solution

Problem 65764

Find where the piecewise function $f(x)$ is not continuous:
$f(x)=\left\{\begin{array}{cc} \sin x & x<0 \\ x & 0 \leq x \leq 1 \\ -x+2 & 1<x<2 \\ x-3 & x \geq 2 \end{array}\right.$

See Solution

Problem 65765

Find the height of a triangular park with a base of $200 \mathrm{yd}$ and an area of $7500 \mathrm{yd}^{2}$ .

See Solution

Problem 65766

Find the volume in liters of 3.02 kg of a liquid with a density of $1.17 \mathrm{~g} / \mathrm{cm}^{3}$ .

See Solution

Problem 65767

Convert the distance between two oxygen atom centers, $1.21 \times 10^{-8} \mathrm{cm}$ , to $\mathrm{nm}$ .

See Solution

Problem 65768

Simplify the expression $x^{0} - 4y^{0}$ using exponent properties, showing only positive exponents.

See Solution

Problem 65769

Evaluate the expression $-9 x^{2}+9 y^{2}+1$ for $x=-7$ and $y=3$ , then simplify.

See Solution

Problem 65770

Calculate the product: $(3.5 \times 10^{8}) \cdot (5 \times 10^{-3}) =$

See Solution

Problem 65771

Graph the line with slope $-\frac{3}{4}$ and $y$ -intercept at -2.

See Solution

Problem 65772

Find the standard matrix of the linear transformation $T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$ given $T(\mathbf{e}_{1})=(1,9)$ , $T(\mathbf{e}_{2})=(-4,6)$ , $T(\mathbf{e}_{3})=(9,-8)$ . $A=\square$ (Type an integer or decimal for each matrix element.)

See Solution

Problem 65773

A vehicle travels at $65 \mathrm{mi/h}$ . How long to cover $25 \mathrm{mi}$ ?

See Solution

Problem 65774

Simplify the expression by combining like terms: $4x - x$ .

See Solution

Problem 65775

Find the standard matrix for the linear transformation $T$ that rotates points in $\mathbb{R}^2$ by $-\frac{\pi}{2}$ radians. $A =$ (Enter exact values for each matrix element.)

See Solution

Problem 65776

Calculate the wavelength for a hydrogen atom transition from $(n=2)$ to $(n=4)$ using $\lambda=\frac{h c}{\Delta E}$ . What color is it?

See Solution

Problem 65777

Simplify the expression: $(b^{3}-b^{2}-3 b^{4})+(2 b^{3}-b^{4}-7 b^{2})$ .

See Solution

Problem 65778

Convert the number $8.31 \times 10^{5}$ into decimal notation.

See Solution

Problem 65779

Simplify the expression: $-2(3x + 1) - 3(4y + 4)$ .

See Solution

Problem 65780

Solve the equation $9 - x = 2x - 3$ and match the solution to the correct description.

See Solution

Problem 65781

A will divides $\frac{1}{2}$ of the estate among relatives. $\frac{1}{5}$ of the remaining goes to charity A. Find the fraction for charity A.

See Solution

Problem 65782

Convert 0.475 into a fraction.

See Solution

Problem 65783

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-4 x_{2}+7 x_{3}, x_{2}-6 x_{3}\right)$ . $A=\square$

See Solution

Problem 65784

Evaluate $(x+y)^{2}-5z$ at $x=0, y=3, z=-4$ and simplify your answer.

See Solution

Problem 65785

Simplify the expression: $\left(x+7 x^{2}-2 x^{3}\right)-\left(7 x+4-6 x^{3}\right)$ .

See Solution

Problem 65786

In a jar, $\frac{2}{5}$ are blue, $\frac{1}{3}$ are red, and the rest (126) are green and yellow. Green = $\frac{3}{4}$ yellow. Find yellow beads.

See Solution

Problem 65787

Find the decimal form of $\frac{1}{9} d$ .

See Solution

Problem 65788

Simplify the expression: $(4x + 6x^2 - 6x^3) - (2x + 5x^3 - 8x^4)$ .

See Solution

Problem 65789

Graph the equation $y=3x+5$ and find the graph that matches $y=11$ . Solve the equation $3x+5=11$ .

See Solution

Problem 65790

Find the decimal form of $\frac{1}{9}$ .

See Solution

Problem 65791

Identify the first term of the expression $5s + 3$ . Is it a variable or constant term? State the variable and coefficient if it's variable.

See Solution

Problem 65792

Adjust the brownie recipe for 12 servings from 16. Calculate the new amounts for each ingredient.

See Solution

Problem 65793

Select the graph for $y=3 x+5$ and $y=11$ . Solve $3 x+5=11$ to find $x=\square$ .

See Solution

Problem 65794

Find the limit: $\lim _{x \rightarrow \infty} \frac{x+1}{\sqrt{4 x^{2}+2}}$ .

See Solution

Problem 65795

Simplify the expression: $(7 n^{4}+1+2 n)+(n^{4}+2 n-2)$ .

See Solution

Problem 65796

Identify the second term of the expression $5s + 3$ . Is it a variable or constant term? If variable, state the variable and coefficient.

See Solution

Problem 65797

A potato is shot up with an initial speed of $34 \mathrm{ft/s}$ from a 42 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}+34 t+42$ .

See Solution

Problem 65798

Simplify the expression: $(6+5 m^{2}-8 m^{4}) - (6+5 m^{2}+7 m^{4})$ .

See Solution

Problem 65799

Graph the line with a y-intercept of -8 and a slope of 8.

See Solution

Problem 65800

Simplify the expression by combining like terms: $7x + 7 - 2x + 2 + 5x$ .

See Solution

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Math

Problem 65701

Evaluate: 2⋅4+(8+1)22 \cdot 4 + (8 + 1)^{2}2⋅4+(8+1)2.

Problem 65702

Find the yyy-intercept and slope of the line −6x−y=−1-6x - y = -1−6x−y=−1. Provide answers in simplest form.

Problem 65703

Find the additive and multiplicative inverses of 8. a) Additive inverse: −8-8−8; b) Choose: A. 1/81/81/8 or B. No inverse.

Problem 65704

Calculate the expression using order of operations: 9+[8+(2⋅2+3)]÷59+[8+(2 \cdot 2+3)] \div 59+[8+(2⋅2+3)]÷5.

Problem 65705

Find the additive and multiplicative inverses of 8. a) Additive inverse: b) Multiplicative inverse: 18\frac{1}{8}81​

Problem 65706

Simplify the expression using order of operations: −1−[6−(−1⋅7−5)]÷(−2)-1-[6-(-1 \cdot 7-5)] \div(-2)−1−[6−(−1⋅7−5)]÷(−2).

Problem 65707

Find the standard matrix for the linear transformation T:R2→R2T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}T:R2→R2 that rotates points by −5π4-\frac{5 \pi}{4}−45π​ radians. A=A=A=

Problem 65708

Is 4328 divisible by 9?

Problem 65709

Graph the line with slope 25\frac{2}{5}52​ and yyy-intercept -5.

Problem 65710

Simplify the expression: (6p3−p+6p4)+(8p−5p4+2p3)(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})(6p3−p+6p4)+(8p−5p4+2p3).

Problem 65711

Check if 4328 is divisible by 2, 3, 4, 5, 6, 8, 10, and 1. What about 4328 divisible by ??

Problem 65712

Evaluate the expression: −102-10^{2}−102.

Problem 65713

Find the prime factorization of 676, using exponents for repeated factors.

Problem 65714

Find the standard matrix of the linear transformation TTT that reflects points first through x2=−x1x_{2}=-x_{1}x2​=−x1​ and then the x2x_{2}x2​-axis. A=A=A= (Enter values for each matrix element.)

Problem 65715

Find the least common multiple (LCM) of 84 and 56.

Problem 65716

Find the limit: lim⁡x→e(xln⁡x−x)\lim _{x \rightarrow e}(x \ln x - x)limx→e​(xlnx−x).

Problem 65717

Simplify the expression 44−1\frac{4}{4^{-1}}4−14​ using exponent properties and show only positive exponents.

Problem 65718

Simplify the expression: (6x3−6x4+5x)−(4x+2x3+7x2)(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2})(6x3−6x4+5x)−(4x+2x3+7x2).

Problem 65719

Find the line equation in slope-intercept form with yyy-intercept -7 and slope −13-\frac{1}{3}−31​.

Problem 65720

Find a matrix for the linear transformation T(x1,x2,x3)=(x1−8x2+5x3,x2−7x3)T(x_{1}, x_{2}, x_{3})=\left(x_{1}-8 x_{2}+5 x_{3}, x_{2}-7 x_{3}\right)T(x1​,x2​,x3​)=(x1​−8x2​+5x3​,x2​−7x3​). A=A=A=

Problem 65721

Solve for xxx in the equation 4(x−b)=x4(x-b)=x4(x−b)=x.

Problem 65722

Find the equation of the line with a yyy-intercept of -7 and a slope of −13-\frac{1}{3}−31​.

Problem 65723

Find the additive inverse and multiplicative inverse of the expression −25-\frac{2}{5}−52​.

Problem 65724

Calculate the limit: lim⁡x→e(xln⁡x−x)\lim _{x \rightarrow e}(x \ln x - x)limx→e​(xlnx−x)

Problem 65725

Is the Hotel Capitale's weekly rate of 85,010 RP mid-range compared to \125to$175?Use125 to \$175? Use 125to$175?Use1 \mathrm{RP}=\0.0147 0.01470.0147 to calculate.

Problem 65726

Find the common divisor of 70 and 385.

Problem 65727

Simplify 35⋅3−73^{5} \cdot 3^{-7}35⋅3−7 using exponent properties, showing only positive exponents.

Problem 65728

Simplify the expression: (r3+3r2−1)+(8r3+7+2r2)(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2})(r3+3r2−1)+(8r3+7+2r2).

Problem 65729

Identify the property shown: 20c⋅1=20c20c \cdot 1 = 20c20c⋅1=20c. Options: inverse, commutative, associative, distributive, identity.

Problem 65730

Graph the line with a yyy-intercept of -7 and a slope of −13-\frac{1}{3}−31​.

Problem 65731

Identify the property shown in: 5(z+4)=5z+20 5(z+4)=5z+20 5(z+4)=5z+20. Options: A. distributive, B. associative addition, C. associative multiplication, D. commutative multiplication.

Problem 65732

Find the limit: lim⁡x→0ln⁡(ex+1)\lim _{x \rightarrow 0} \ln \left(e^{x+1}\right)limx→0​ln(ex+1).

Problem 65733

Simplify the expression: (6x4+2x3−7)−(2−x4+8x3)(6 x^{4}+2 x^{3}-7)-(2-x^{4}+8 x^{3})(6x4+2x3−7)−(2−x4+8x3).

Problem 65734

Identify the property shown by 3z⋅13z=13 z \cdot \frac{1}{3 z}=13z⋅3z1​=1. Choose from: A. inverse multiplication B. identity multiplication C. identity addition D. inverse addition.

Problem 65735

Simplify x−3x^{-3}x−3 using exponent rules, expanding numerical parts and using only positive exponents.

Problem 65736

Problem 65737

Simplify the expression: (2a4+a3+4)−(5−8a3+a4)(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4})(2a4+a3+4)−(5−8a3+a4).

Problem 65738

Calculate the expression using order of operations: 42−18÷32×4−244^{2}-18 \div 3^{2} \times 4-2442−18÷32×4−24.

Problem 65739

Find the equation of the line given that it passes through (6, 0). Use y=3x+by=3x+by=3x+b to find bbb.

Problem 65740

A glacier advanced 3.2 inches in 116 minutes. How many feet will it advance in one year? Round to the nearest hundred.

Evaluate: $2 \cdot 4 + (8 + 1)^{2}$ .

Find the $y$ -intercept and slope of the line $-6x - y = -1$ . Provide answers in simplest form.

Find the additive and multiplicative inverses of 8. a) Additive inverse: $-8$ ; b) Choose: A. $1/8$ or B. No inverse.

Calculate the expression using order of operations: $9+[8+(2 \cdot 2+3)] \div 5$ .

Find the additive and multiplicative inverses of 8.
a) Additive inverse:
b) Multiplicative inverse: $\frac{1}{8}$

Simplify the expression using order of operations: $-1-[6-(-1 \cdot 7-5)] \div(-2)$ .

Find the standard matrix for the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ that rotates points by $-\frac{5 \pi}{4}$ radians. $A=$

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

Simplify the expression: $(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})$ .

Evaluate the expression: $-10^{2}$ .

Find the standard matrix of the linear transformation $T$ that reflects points first through $x_{2}=-x_{1}$ and then the $x_{2}$ -axis. $A=$ (Enter values for each matrix element.)

Find the limit: $\lim _{x \rightarrow e}(x \ln x - x)$ .

Simplify the expression $\frac{4}{4^{-1}}$ using exponent properties and show only positive exponents.

Simplify the expression: $(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2})$ .

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-8 x_{2}+5 x_{3}, x_{2}-7 x_{3}\right)$ . $A=$

Solve for $x$ in the equation $4(x-b)=x$ .

Find the equation of the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

Find the additive inverse and multiplicative inverse of the expression $-\frac{2}{5}$ .

Calculate the limit: $\lim _{x \rightarrow e}(x \ln x - x)$

Is the Hotel Capitale's weekly rate of 85,010 RP mid-range compared to \ $125 to \$175? Use$ 1 \mathrm{RP}=\ $0.0147$ to calculate.

Simplify $3^{5} \cdot 3^{-7}$ using exponent properties, showing only positive exponents.

Simplify the expression: $(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2})$ .

Identify the property shown: $20c \cdot 1 = 20c$ . Options: inverse, commutative, associative, distributive, identity.

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

Identify the property shown in: $5(z+4)=5z+20$ . Options: A. distributive, B. associative addition, C. associative multiplication, D. commutative multiplication.

Find the limit: $\lim _{x \rightarrow 0} \ln \left(e^{x+1}\right)$ .

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

Identify the property shown by $3 z \cdot \frac{1}{3 z}=1$ . Choose from: A. inverse multiplication B. identity multiplication C. identity addition D. inverse addition.

Simplify $x^{-3}$ using exponent rules, expanding numerical parts and using only positive exponents.

Simplify the expression: $(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4})$ .

Calculate the expression using order of operations: $4^{2}-18 \div 3^{2} \times 4-24$ .

Find the equation of the line given that it passes through (6, 0). Use $y=3x+b$ to find $b$ .

How many rows and columns must matrix $A$ have to map $\mathbb{R}^{8}$ to $\mathbb{R}^{9}$ using $T(x)=A x$ ? A. 9 rows, 9 columns B. 9 rows, 8 columns C. 8 rows, 8 columns D. 8 rows, 9 columns

Simplify $\frac{x^{-1}}{x^{8}}$ using exponent properties and show only positive exponents.

Complete the equation using the distributive property: $7(x+y+3)=$ $7(x+y+3)=7x+7y+21$

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

Find the elevation difference between a mountain at 16,933 feet and a valley at $-\frac{3}{6}$ feet.

Simplify $4^{0} \cdot 4^{2}$ using exponent rules and show only positive exponents.

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

Identify the property shown: $q \cdot(p-r)=(q \cdot p) \cdot r$ . Choose: A. addition, B. multiplication commutative, C. multiplication associative, D. distributive.

Find the radius of a circle with circumference $22 \mathrm{~m}$ . Round to the nearest tenth if needed.

Simplify the expression $\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}}$ using exponent properties, ensuring positive exponents.

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

Find the additive and multiplicative inverses of $-\frac{7}{8}$ . a) Additive inverse: $\square$ . b) Multiplicative inverse: A. $\square$ or B. No inverse.

Convert the engine volume of $4320 \mathrm{~cm}^{3}$ to cubic inches.

Approximate the total candy bars purchased in one year if 1.2 thousand are bought per minute. Use $5.3 \times 10^5$ minutes/year.

Rewrite the equation in standard form: $y + 1 = \frac{2}{3}(x + 3)$

Complete the equation to show the identity property of multiplication: $\left(\frac{5}{6} n\right)(1)=\square$

Name the following transition metal ions: $\mathrm{Fe}^{3+}$ , $\mathrm{Cu}^{+}$ , $\mathrm{Zn}^{2+}$ , $\mathrm{Fe}^{2+}$ , $\mathrm{Ti}^{4+}$ .

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

Simplify $1^{0}$ using exponent properties and show only positive exponents.

Find where the piecewise function $f(x)$ is not continuous:
$f(x)=\left\{\begin{array}{cc} \sin x & x<0 \\ x & 0 \leq x \leq 1 \\ -x+2 & 1<x<2 \\ x-3 & x \geq 2 \end{array}\right.$

Find the height of a triangular park with a base of $200 \mathrm{yd}$ and an area of $7500 \mathrm{yd}^{2}$ .

Find the volume in liters of 3.02 kg of a liquid with a density of $1.17 \mathrm{~g} / \mathrm{cm}^{3}$ .

Convert the distance between two oxygen atom centers, $1.21 \times 10^{-8} \mathrm{cm}$ , to $\mathrm{nm}$ .

Simplify the expression $x^{0} - 4y^{0}$ using exponent properties, showing only positive exponents.

Evaluate the expression $-9 x^{2}+9 y^{2}+1$ for $x=-7$ and $y=3$ , then simplify.

Calculate the product: $(3.5 \times 10^{8}) \cdot (5 \times 10^{-3}) =$

Graph the line with slope $-\frac{3}{4}$ and $y$ -intercept at -2.

A vehicle travels at $65 \mathrm{mi/h}$ . How long to cover $25 \mathrm{mi}$ ?

Simplify the expression by combining like terms: $4x - x$ .