Math Statement

Problem 26701

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

See Solution

Problem 26702

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

See Solution

Problem 26703

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

See Solution

Problem 26704

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

See Solution

Problem 26705

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

See Solution

Problem 26706

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

See Solution

Problem 26707

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

See Solution

Problem 26708

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 26709

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

See Solution

Problem 26710

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

See Solution

Problem 26711

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 26712

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

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Problem 26713

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 $T(\mathbf{x})=A \mathbf{x}$ .

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Problem 26714

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

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Problem 26715

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

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Problem 26716

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

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Problem 26717

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

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Problem 26718

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

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Problem 26719

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

See Solution

Problem 26720

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

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Problem 26721

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 26722

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 26723

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

See Solution

Problem 26724

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

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Problem 26725

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

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Problem 26726

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

See Solution

Problem 26727

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

See Solution

Problem 26728

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 26729

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

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Problem 26730

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

See Solution

Problem 26731

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

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Problem 26732

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.)

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Problem 26733

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

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Problem 26734

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 26735

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

See Solution

Problem 26736

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

See Solution

Problem 26737

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

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Problem 26738

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 26739

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

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Problem 26740

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

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Problem 26741

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

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Problem 26742

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

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Problem 26743

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

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Problem 26744

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.

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Problem 26745

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

See Solution

Problem 26746

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

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Problem 26747

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

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Problem 26748

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 $s(t)=-16 t^{2}+34 t+42$ .

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Problem 26749

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

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Problem 26750

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

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Problem 26751

Simplify the expression: $\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)$ .

See Solution

Problem 26752

Find the slope of a line perpendicular and a line parallel to $y=-\frac{2}{5} x+8$ .

See Solution

Problem 26753

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

See Solution

Problem 26754

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

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Problem 26755

Find the slope of a line parallel and a line perpendicular to $y=3x-7$ .

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Problem 26756

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

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Problem 26757

Find the slope of a line perpendicular and parallel to $y=\frac{1}{2} x$ .

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Problem 26758

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

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Problem 26759

Find the velocity function $v(t)$ for the hummingbird's position $s(t)=-10 t^{3}-t-6$ in feet.

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Problem 26760

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

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Problem 26761

$16 x^{4}-25 x=021-18011$

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Problem 26762

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

See Solution

Problem 26763

Find the area of the region enclosed by the curves $y=2 \cos x$ and $y=2 \cos 2 x$ for $0 \leq x \leq \pi$ .

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Problem 26764

Find $\frac{d y}{d x}$ of the following finctions: if $y=2 \cos 2 x-1$

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Problem 26765

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

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Problem 26766

Find $\frac{d y}{d x}$ of the following function (1) if $y=\frac{x^{2}}{x+1}$

See Solution

Problem 26767

Defferentiate with respect to $x: 4-x^{2}$

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Problem 26768

Find $d y / d x$ by implicit differentiation $x^{3} y^{5}+3 x=8 y^{3}+1$

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Problem 26769

EX02: Soit N ''ensemble des entiers naturels. 1- Remplacer les pointillés par l'un des symboles $\in, \mathcal{C}, \notin$ . $5 \ldots \mathrm{~N}, \quad 5 \ldots P(\mathbb{N}),\{5\} \ldots N, \quad\{5\} \ldots P(\mathbb{N}),\{-3,5,1.1\} \ldots P(\mathbb{N})$ , 2. Soit $F=\{0,7\}$ expliciter $P(\mathbb{F})$ . Puis $P(P(F))$ .Meme question pour $F=\varnothing$

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Problem 26770

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

See Solution

Problem 26771

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

See Solution

Problem 26772

Given $\vec{F}=4 \hat{i}+5 \hat{j}-6 y \hat{k}$ . Find $\oint \vec{F} \cdot \overrightarrow{d l}$ going around the loop that starts from the point $(0,0,0)$ to the point $(0,0,4)$ then to the point $(0,1,4)$ then to the point $(0,1,0)$ and back to $(0,0,0)$ . a. 4 b. -4 c. 24 d. 0 e. -24

See Solution

Problem 26773

Simplify. $\frac{x^{2}}{x^{7}}$

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Problem 26774

Given $\vec{F}=4 \hat{i}+5 \hat{j}-6 y \hat{k}$ . Find $\oint \vec{F} \cdot \overrightarrow{d l}$ going around the loop that starts from the point $(0,0,0)$ to the point $(0,0,4)$ then to the paint $(0,1,4)$ then to the point $(0,1,0)$ and back to $(0,0,0)$ . a. -4 b. -24 c. 0 d. 24 e. 4
Clear my choice

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Problem 26775

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

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Problem 26776

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

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Problem 26777

Rewrite without parentheses and simplify. $(x-4)^{2}$

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Problem 26778

If a random variable X is normally distributed with mean 35 and variance 4, then $P(X<39)$ is equal to a. 0.8413 b. 0.9982 c. 0.9332 d. 0.9772

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Problem 26779

Exercice $\mathrm{n}^{\circ} 9$ : Soit $a \in] 0,1$ . Montrer à l'aide des accroissements finis que pour tout $n \in \mathbb{N}^{*}$ , $\frac{a}{(n+1)^{1-a}} \leqslant(n+1)^{a}-n^{a} \leqslant \frac{a}{n^{1-a}} .$

See Solution

Problem 26780

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

See Solution

Problem 26781

Determine if the car is moving left or right at $t=8$ for the function $s(t)=-4 t^{3}-10 t^{2}+t-4$ .

See Solution

Problem 26782

Find the acceleration function $a(t)$ for the particle with position $s(t)=-3t^{2}-t+1$ (in meters) at time $t$ .

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Problem 26783

Simplify the expression: $\frac{1}{\sqrt{0+14}+\sqrt{14}}$

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Problem 26784

Solve the inequality $x + 5 \leq 3$ and express the solution in interval notation.

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Problem 26785

Solve the inequality $-2 x \leq 12$ and express the solution in interval notation.

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Problem 26786

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

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Problem 26787

Determine if the train, described by $s(t)=t^{4}-2 t^{3}-5 t^{2}+3$ , is speeding up or slowing down at $t=2$ seconds.

See Solution

Problem 26788

Find the interval(s) where the hummingbird slows down for $s(t)=-t^{3}+9 t^{2}-24 t-4$ , $t \geq 0$ .

See Solution

Problem 26789

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

See Solution

Problem 26790

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

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Problem 26791

Simplify the expression $\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}$ .

See Solution

Problem 26792

Simplify $\frac{t^{400}}{t^{100}}$ . What is the result? Options: $t^{500}$ , $300$ , $t^{300}$ , $t^{4}$ .

See Solution

Problem 26793

Add without a calculator: $\frac{2}{3}+\frac{1}{15}$ . Enter your answer as a mixed number (e.g., 11/2).

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Problem 26794

Simplify the expression: $(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})$ .

See Solution

Problem 26795

Calculate the sum of $\frac{7}{9}$ and $\frac{1}{3}$ .

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Problem 26796

Determine the slope and $y$ -intercept of the line given by the equation $6x - 2y = 3$ .

See Solution

Problem 26797

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

See Solution

1 ...265 266 267 268

Math Statement

Problem 26701

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

Problem 26702

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

Problem 26703

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

Problem 26704

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

Problem 26705

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

Problem 26706

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 26707

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

Problem 26708

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 26709

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

Problem 26710

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 26711

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 26712

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

Problem 26713

Problem 26714

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 26715

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 26716

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 26717

Simplify x−1x8\frac{x^{-1}}{x^{8}}x8x−1​ using exponent properties and show only positive exponents.

Problem 26718

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

Problem 26719

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

Problem 26720

Simplify 40⋅424^{0} \cdot 4^{2}40⋅42 using exponent rules and show only positive exponents.

Problem 26721

Problem 26722

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

Problem 26723

Simplify the expression −6x5y−22x3y5\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}}2x3y5−6x5y−2​ using exponent properties, ensuring positive exponents.

Problem 26724

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

Problem 26725

Rewrite the equation in standard form: y+1=23(x+3)y + 1 = \frac{2}{3}(x + 3)y+1=32​(x+3)

Problem 26726

Name the following transition metal ions: Fe3+\mathrm{Fe}^{3+}Fe3+, Cu+\mathrm{Cu}^{+}Cu+, Zn2+\mathrm{Zn}^{2+}Zn2+, Fe2+\mathrm{Fe}^{2+}Fe2+, Ti4+\mathrm{Ti}^{4+}Ti4+.

Problem 26727

Simplify 101^{0}10 using exponent properties and show only positive exponents.

Problem 26728

Find where the piecewise function f(x)f(x)f(x) is not continuous: f(x)={sin⁡xx<0x0≤x≤1−x+21<x<2x−3x≥2 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. f(x)=⎩⎨⎧​sinxx−x+2x−3​x<00≤x≤11<x<2x≥2​

Problem 26729

Simplify the expression x0−4y0x^{0} - 4y^{0}x0−4y0 using exponent properties, showing only positive exponents.

Problem 26730

Evaluate the expression −9x2+9y2+1-9 x^{2}+9 y^{2}+1−9x2+9y2+1 for x=−7x=-7x=−7 and y=3y=3y=3, then simplify.

Problem 26731

Calculate the product: (3.5×108)⋅(5×10−3)=(3.5 \times 10^{8}) \cdot (5 \times 10^{-3}) = (3.5×108)⋅(5×10−3)=

Problem 26732

Problem 26733

Simplify the expression by combining like terms: 4x−x4x - x4x−x.

Problem 26734

Find the standard matrix for the linear transformation TTT that rotates points in R2\mathbb{R}^2R2 by −π2-\frac{\pi}{2}−2π​ radians. A= A = A= (Enter exact values for each matrix element.)

Problem 26735

Simplify the expression: (b3−b2−3b4)+(2b3−b4−7b2)(b^{3}-b^{2}-3 b^{4})+(2 b^{3}-b^{4}-7 b^{2})(b3−b2−3b4)+(2b3−b4−7b2).

Problem 26736

Convert the number 8.31×1058.31 \times 10^{5}8.31×105 into decimal notation.

Problem 26737

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

Problem 26738

Find a matrix for the linear transformation T(x1,x2,x3)=(x1−4x2+7x3,x2−6x3)T(x_{1}, x_{2}, x_{3})=\left(x_{1}-4 x_{2}+7 x_{3}, x_{2}-6 x_{3}\right)T(x1​,x2​,x3​)=(x1​−4x2​+7x3​,x2​−6x3​). A=□A=\squareA=□

Problem 26739

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

Problem 26740

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

Problem 26741

Find the decimal form of 19d\frac{1}{9} d91​d.

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

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.

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 $b$ .

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 $-2x + 3y = 4$ .

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

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

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 $(3,-1)$ .

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

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

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

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

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

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

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.)

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

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

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

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

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

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

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

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

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

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.

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

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

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

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 $s(t)=-16 t^{2}+34 t+42$ .

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

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

Simplify the expression: $\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)$ .

Find the slope of a line perpendicular and a line parallel to $y=-\frac{2}{5} x+8$ .

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

Find the slope of a line parallel and a line perpendicular to $y=3x-7$ .

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

Find the slope of a line perpendicular and parallel to $y=\frac{1}{2} x$ .

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

Find the velocity function $v(t)$ for the hummingbird's position $s(t)=-10 t^{3}-t-6$ in feet.

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

$16 x^{4}-25 x=021-18011$

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

Find the area of the region enclosed by the curves $y=2 \cos x$ and $y=2 \cos 2 x$ for $0 \leq x \leq \pi$ .

Find $\frac{d y}{d x}$ of the following finctions: if $y=2 \cos 2 x-1$

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

Find $\frac{d y}{d x}$ of the following function (1) if $y=\frac{x^{2}}{x+1}$

Defferentiate with respect to $x: 4-x^{2}$

Find $d y / d x$ by implicit differentiation $x^{3} y^{5}+3 x=8 y^{3}+1$

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

Simplify. $\frac{x^{2}}{x^{7}}$