Math Statement

Problem 18001

Evaluate the expression when n=2n=2. n2+8n6n^{2}+8 n-6

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Problem 18002

63x5y4c8\sqrt{63 x^{5} y^{4} c^{8}}

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Problem 18003

actoring: A General Strategy Question 4 of 6
Factor completely. If the polynomial is prime, state this. 2q2+3qr35r22 q^{2}+3 q r-35 r^{2}
Select the correct choice and, if necessary, fill in any answer boxes within your choice. A. 2q2+3qr35r2=2 q^{2}+3 q r-35 r^{2}= \square B. The polynomial is prime.

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Problem 18004

Use substitution to solve the system of equations. y=9xx+2y=3\begin{array}{l} y=9 x \\ x+2 y=-3 \end{array}
Enter your answer, as fractions in simplest form, by filling in the boxes \square \square

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Problem 18005

Write the expression as a single logarithm. 2logmy+2(logmz3logmw)2 \log _{m} y+2\left(\log _{m} z-3 \log _{m} w\right)

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Problem 18006

implify: (10x2)(2x4)\left(-10 x^{2}\right)\left(-2 x^{4}\right)
Answer \square

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Problem 18007

Suppose k(w)=4wk(w)=4^{w}. (a) Find a formula for y=k(w)7y=k(w)-7 in terms of the variable ww. y=k(w)7=y=k(w)-7= \square help (formulas)

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Problem 18008

What is the solution of the following system? Use the elimination method. {4x+3y=62x+2y=5\left\{\begin{array}{l} 4 x+3 y=6 \\ 2 x+2 y=5 \end{array}\right. The only solution is (32,4)\left(-\frac{3}{2}, 4\right). The only solution is (0,2)(0,2). There are an infinite number of solutions. There is no solution.

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Problem 18009

b) Starting with meridional acceleration following the motion (avdt)\left(\frac{a v}{d t}\right) show that dˉvˉdt=dvˉdt+uvx+vvy+vwz where dˉ()dt=()+uˉ()x+vˉ()y+wˉ()z\begin{array}{l} \frac{\bar{d} \bar{v}}{d t}=\frac{d \bar{v}}{d t}+\frac{\partial \overline{u^{\prime} v^{\prime}}}{\partial x}+\frac{\partial \overline{v^{\prime} v^{\prime}}}{\partial y}+\frac{\partial \overline{v^{\prime} w^{\prime}}}{\partial z} \text { where } \\ \frac{\bar{d}()}{d t}=\frac{\partial()}{\partial}+\bar{u} \frac{\partial()}{\partial x}+\bar{v} \frac{\partial()}{\partial y}+\bar{w} \frac{\partial()}{\partial z} \end{array} [15 marks]

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Problem 18010

0.1×30=0.1 \times 30= \qquad 0.01×30=0.01 \times 30= \qquad

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Problem 18011

Use Cramer's Rule to solve the system. {13x17y+14z=112823x+27y+34zx67y+z(x,y,z)=1328x\begin{array}{r} \left\{\begin{array}{r} \frac{1}{3} x-\frac{1}{7} y+\frac{1}{4} z=-\frac{11}{28} \\ -\frac{2}{3} x+\frac{2}{7} y+\frac{3}{4} z \\ x-\frac{6}{7} y+z \\ (x, y, z)=-\frac{13}{28} \end{array}\right. \\ x \end{array} Need Help? Read It Watch it Masterit

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Problem 18012

11. Find the equation of the tangent line to the graph of y=(x2+1)sinxy=\left(x^{2}+1\right) \sin x at x=0x=0.

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Problem 18013

(x522x+56)×12=\left(\frac{x-5}{2}-\frac{2 x+5}{6}\right) \times 12=

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Problem 18014

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 4x+xx4 x+x-x \square Submit

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Problem 18015

MHF4UZ - Assessment \#6 Night School Dec 02, 2024
Name of Student: \qquad Student ID: \qquad Q. 1 Simplify each expression: Write the formula you will use to solve the Trig function a) Cos7π12Cos5π12+Sin7π12sin5π12\operatorname{Cos} \frac{7 \pi}{12} \operatorname{Cos} \frac{5 \pi}{12}+\operatorname{Sin} \frac{7 \pi}{12} \sin \frac{5 \pi}{12} b) sin2xcosxcos2xSinx\sin 2 x \cos x-\cos 2 x \operatorname{Sin} x

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Problem 18016

Question 14 (1 point) Determine the exact value of tan7π6\tan \frac{7 \pi}{6}. a) 13-\frac{1}{\sqrt{3}} b) 13\frac{1}{\sqrt{3}} C) 32-\frac{\sqrt{3}}{2} d) 32\frac{\sqrt{3}}{2}

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Problem 18017

Videc
Combine any like terms in the expression. If there are no like terms, rewrite the expression. 3v+v3 v+v \square Submit

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Problem 18018

Part B Solve the inequality and graph the solution on a number line. A) x2x \geq-2 B) x2x \geq-2 C) x2x \leq-2 D) x2x \geq-2

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Problem 18019

el vector opuesto de ē: (1,-1,-1) es: a. eˉ=i+j+k\bar{e}=i+j+k b. eˉ=(1,1,1)\bar{e}=(-1,-1,1) c. eˉ=ijk\bar{e}=\mathrm{i}-\mathrm{j}-\mathrm{k} d. eˉ=(1,1,1)\bar{e}=(-1,-1,1)

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Problem 18020

cond Attempt Personalized Question 11, 5.1.69 Part 1 of 9 Points: 0 of 13
For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the xx-axis at each xx-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of ff resembles for large values of x|x|. f(x)=9x2(x22)f(x)=-9 x^{2}\left(x^{2}-2\right) (a) Find any real zeros of f . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zero(s) of ff is/are \square . (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.

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Problem 18021

A person has a taco stand. They have found that their daily costs are approximated by C(x)=x220x+330C(x)=x^{2}-20 x+330, where C(x)C(x) is the cost, in dollars, to sell xx units of tacos. Find the number of units of tacos they should sell to minimize costs. What is the minimum cost?
The person should sell \square units of tacos to minimize the costs. The minimum cost is $\$ \square . (Simplify your answers. Type integers or fractions.)

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Problem 18022

Perform the operation and combine to one fraction. 7x249+7xx7\frac{7}{x^{2}-49}+\frac{7 x}{x-7}

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Problem 18023

12-6
1. Compute 4234÷2893\frac{4^{2}}{3^{4}} \div \frac{2^{8}}{9^{3}}
2. 2(4)02^{(-4)^{0}}
3. 23÷242^{3} \div 2^{-4}
4. (3)533(-3)^{-5} \cdot 3^{3}
5. 37343^{7} \cdot 3^{-4}
6. 1÷521 \div 5^{-2}
7. (14)382\left(\frac{1}{4}\right)^{-3} \cdot 8^{-2}

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Problem 18024

Use synthetic division to perform the division. 8x3+7x25x+9x2\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2} 8x3+7x25x+9x2=\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2}= \square (Simplify your answer.)

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Problem 18025

5. 54=135x54=135-x
6. z7=19z-7=-19
7.  Exit ficket z9=15\begin{array}{l}\text { Exit ficket } \\ z-9=-15\end{array}
8. 52=12b52=12-b
9. 67=c(4)-67=c-(-4)
10. x7=87x-7=87

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Problem 18026

Solve for zz in the equation 2.8=4.8z5.1z2.62.8 = 4.8z - 5.1z - 2.6. Express your answer as an integer, fraction, or rounded decimal.

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Problem 18027

Solve the equation 2.8=4.8z5.1z2.62.8 = 4.8z - 5.1z - 2.6. Express your answer as an integer, fraction, or rounded decimal.

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Problem 18028

Evaluate the expression and write the answer as a mixed number: 379×310-3 \frac{7}{9} \times -\frac{3}{10}.

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Problem 18029

Simplify the expression (6+5)(65)(\sqrt{6}+5)(\sqrt{6}-5).

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Problem 18030

For the function f(x)=x24xf(x)=-x^{2}-4x, determine if it opens up or down, and find the vertex and intercepts.

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Problem 18031

Graph the function f(x)=x24xf(x)=-x^{2}-4 x and find its vertex, axis of symmetry, yy-intercept, and xx-intercepts.

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Problem 18032

Solve the equation 5n9n+1=75n - 9n + 1 = -7 and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 18033

Solve for xx in the equation: 54+3=75x+5887x54 + 3 = 75x + 58 - 87x. Answer as an integer, fraction, or rounded decimal.

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Problem 18034

Solve the equation 9 + 4 = 4x + 9. Express your answer as an integer, simplified fraction, or decimal (2 decimal places).

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Problem 18035

Solve the equation -6u - 30 = 0. Provide your answer as an integer, fraction, or rounded decimal (two decimal places).

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Problem 18036

Solve the equation 8u+2=168u + 2 = -16. Provide your answer as an integer, fraction, or decimal rounded to two decimal places.

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Problem 18037

Find the vertex coordinates of the parabola defined by f(x)=4(x2)21f(x)=4(x-2)^{2}-1. Answer as an ordered pair.

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Problem 18038

For the function f(x)=2x2+2x3f(x)=-2 x^{2}+2 x-3, graph it and find the vertex, axis of symmetry, yy-intercept, and xx-intercepts.

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Problem 18039

Solve the equation: 6.3=1.5z1.7z+5.96.3 = 1.5z - 1.7z + 5.9. Provide the answer as an integer, fraction, or decimal (2 decimal places).

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Problem 18040

Solve for xx in the equation: 45+85=53x+8599x45 + 85 = 53x + 85 - 99x. Express xx as an integer, fraction, or rounded decimal.

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Problem 18041

Solve the equation 2.03v+5.62v3.41=0.462.03 v + 5.62 v - 3.41 = 0.46 and express the answer as an integer, fraction, or rounded decimal.

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Problem 18042

Solve the equation 9 + 6 = 2x + 3. Express your answer as an integer, simplified fraction, or rounded decimal.

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Problem 18043

Solve the equation 9+6=2x+39 + 6 = 2x + 3 and express your answer as an integer, fraction, or decimal rounded to two places.

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Problem 18044

Solve the equation 5z7z24=325z - 7z - 24 = -32 and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 18045

Solve 8v+16=128v + 16 = -12. Provide the answer as an integer, simplified fraction, or rounded to two decimal places.

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Problem 18046

Find yy in terms of xx from the equation x+2y=3-x + 2y = 3.

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Problem 18047

Find the function g(x)g(x) for a vertical stretch by 3 of f(x)=x+11f(x)=|x+1|-1. What is g(x)g(x)?

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Problem 18048

Evaluate 445×14-4 \frac{4}{5} \times \frac{1}{4} and express the answer as a simplified mixed number.

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Problem 18049

Find the values of the trigonometric functions given that sinθ=1\sin \theta=1. What is cosθ\cos \theta? A. cosθ=\cos \theta= B. Undefined.

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Problem 18050

Solve the inequality 2x2+6x10-2 x^{2}+6 x-1 \leqq 0.

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Problem 18051

Classify the equation 3(x2)=4(72x)+11x3(x-2)=4(7-2 x)+11 x as conditional, identity, or contradiction.

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Problem 18052

Evaluate the expression: 414÷12-4 \frac{1}{4} \div \frac{1}{2} and express your answer as a mixed number in simplest form.

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Problem 18053

Classify the equation 4(x6)+5x=5x+4(x6)4(x-6)+5x=5x+4(x-6) as conditional, identity, or contradiction.

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Problem 18054

Solve the equation y1.7y+2.1=1.4(y+4.5)y - 1.7 y + 2.1 = 1.4(y + 4.5) and simplify to an integer, fraction, or decimal (2 decimal places).

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Problem 18055

Solve the equation 7(3x5)=3(x+2)197(3x-5)=3(x+2)-19 and express the answer as an integer, simplified fraction, or decimal (2 decimal places).

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Problem 18056

Simplify the expression: (5zy2)2(zy4)3\left(5 z y^{2}\right)^{2}\left(z y^{4}\right)^{3}.

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Problem 18057

Find the natural numbers in the range from 14 to 190, inclusive.

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Problem 18058

Solve the equation 1.8(z18)=1.8(z1.5)-1.8(z-18)=1.8(z-1.5) and express the answer as an integer, fraction, or decimal (2 decimal places).

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Problem 18059

Is 1010 an element of the set {20,30,40,50,60}\{20,30,40,50,60\}?

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Problem 18060

4 is not an element of the set of odd numbers {1, 3, 5, 7, ...}.

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Problem 18061

Solve the equation 3v3=4v+83v - 3 = 4v + 8 for vv and express your answer as an integer or simplified fraction.

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Problem 18062

Find the number of elements in the set C={3,5}C=\{3,5\}. Calculate n(C)=n(C) =

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Problem 18063

Solve the equation 4(4x5)=5(x+6)+34(4x-5)=5(x+6)+3 and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 18064

Are the sets {73,68,20}\{73,68,20\} and {68,20,73}\{68,20,73\} equal, equivalent, both, or neither?

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Problem 18065

Are the sets {first,second,third}\{ \text{first}, \text{second}, \text{third} \} and {1,2,3}\{1, 2, 3\} equal, equivalent, both, or neither?

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Problem 18066

Solve the equation 23(x+15)=18(x+25)-\frac{2}{3}\left(x+\frac{1}{5}\right)=-\frac{1}{8}\left(x+\frac{2}{5}\right) and simplify.

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Problem 18067

Fill in the blanks with \subseteq, \nsubseteq, or \subset: {11,12,13}_{10,11,12,13}\{11,12,13\} \_\{10,11,12,13\}.

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Problem 18068

Solve the equation 19(z+3)=23(z23)-\frac{1}{9}(z+3)=-\frac{2}{3}\left(z-\frac{2}{3}\right) and simplify to an integer, fraction, or decimal.

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Problem 18069

Calculate 20.53×1.55+0.0220.53 \times 1.55 + 0.02.

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Problem 18070

Solve for yy in the equation 3y9=4y13y - 9 = 4y - 1 and express your answer as an integer or simplified fraction.

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Problem 18071

Solve the equation 18(z3)=12(z+12)\frac{1}{8}(z-3)=\frac{1}{2}\left(z+\frac{1}{2}\right) and simplify to an integer, fraction, or decimal.

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Problem 18072

Compare -2 + 3 and 1 using <<, >>, or ==.

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Problem 18073

Rewrite the expression: 4(5b+6c)4(5b + 6c).

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Problem 18074

Calculate the product of 6.03, 0.55, and 1.12.

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Problem 18075

Rewrite the expression 2(5x+10y)2(5x + 10y) in an equivalent form.

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Problem 18076

Evaluate the expression: 34÷89-\frac{3}{4} \div \frac{8}{9} and express your answer as a simplified fraction.

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Problem 18077

Calculate the product of 4 and 9: 494 \cdot 9.

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Problem 18078

Evaluate the expression: 4725\frac{4}{7} \cdot -\frac{2}{5} and express your answer as a simplified fraction.

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Problem 18079

Multiply: 4 yd 1ft×81 \mathrm{ft} \times 8

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Problem 18080

Determine if the statement CDC \subset D is true or false, given the sets A={1,3,5,7}A=\{1,3,5,7\}, B={5,6,7,8}B=\{5,6,7,8\}, C={5,8}C=\{5,8\}, D={2,5,8}D=\{2,5,8\}, and U={1,2,3,4,5,6,7,8}U=\{1,2,3,4,5,6,7,8\}. If false, explain why.

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Problem 18081

Find the total subsets of the set {12,13,14}\{12, 13, 14\}.

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Problem 18082

Find the total number of subsets of the set {1,2,3,,8}\{1,2,3, \ldots, 8\}.

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Problem 18083

Find xx given that BC=2x17BC = 2x - 17, AC=19AC = 19, and AB=2x12AB = 2x - 12.

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Problem 18084

Find the complement AA^{\prime} of the set A={g,h,n}A=\{g, h, n\} in the universal set U={g,h,j,k,m,n}U=\{g, h, j, k, m, n\}. Use a Venn diagram to show the relationships.

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Problem 18085

Subtract 185 from 403 and 219 from 403. What are the results?

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Problem 18086

Calculate 604405604 - 405.

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Problem 18087

Calculate (4×105)2(2×106)3\frac{\left(4 \times 10^{-5}\right)^{2}}{\left(2 \times 10^{6}\right)^{3}}.

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Problem 18088

What is the effective buffering range for acetic acid with a pKa of 4.76?

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Problem 18089

Calculate the following: (a) 1.600×107×2.1×1031.600 \times 10^{-7} \times 2.1 \times 10^{3}, (b) (1.33)3(1.33)^{3}, (c) 1.93×2.6511.93 \times 2.651, (d) 4.4/2.2004.4 / 2.200.

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Problem 18090

Solve the equation 42x+7=164|2 x+7|=16.

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Problem 18091

Solve the system of equations: 35x40y=2035x - 40y = -20 and 42x48y=2442x - 48y = -24.

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Problem 18092

Solve for xx in the equation x2+5=9|x-2|+5=9.

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Problem 18093

Calculate 17×817 \times 8 using the distributive property: (10+7)×8=(10×8)+(7×8)(10+7) \times 8 = (10 \times 8)+(7 \times 8).

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Problem 18094

Solve for cc in the inequality 5<c+3<75 < c + 3 < 7.

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Problem 18095

Solve for uu: u+430\frac{u+4}{3} \leq 0 or 7u+1157u+1 \geq 15. Provide your answer as a compound inequality with integers.

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Problem 18096

Solve the system: 2x3y=142x - 3y = -14 and 3x2y=63x - 2y = -6. Find xyx - y. A) -20 B) -8 C) -4 D) 8

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Problem 18097

Solve the system of equations: 3x+4y=233x + 4y = -23 and 2yx=192y - x = -19. Find (x,y)(x, y). A) (5,2)(-5,-2) B) (3,8)(3,-8) C) (4,6)(4,-6) D) (9,6)(9,-6)

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Problem 18098

Solve the system: 2x3y=142x - 3y = -14 and 3x2y=63x - 2y = -6. Find xyx - y. A) -20 B) -8 C) -4 D) 8

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Problem 18099

Calculate the value of sin62\sin 62^{\circ}.

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Problem 18100

Derive the fractional flow equation:
fw=1+0.001127krow (Sw)kAμoqt[pcowl0.433(γwγo)sin(θ)]1+(μwμo)[krow(Sw)krw(Sw)] f_{w}=\frac{1+\frac{0.001127 \cdot k_{\text {row }}\left(S_{w}\right) \cdot k \cdot A}{\mu_{o} q_{t}}\left[\frac{\partial p_{c o w}}{\partial l}-0.433\left(\gamma_{w}-\gamma_{o}\right) \sin (\theta)\right]}{1+\left(\frac{\mu_{w}}{\mu_{o}}\right)\left[\frac{k_{r o w}\left(S_{w}\right)}{k_{r w}\left(S_{w}\right)}\right]}
Show all steps.

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