Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. 1 Passing through (7, – 5) and perpendicular to the line whose equation is y=x+ 5

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Q: 9. 1 What is the volume of the cone with a diameter of 10 inches and a height of 8 inches? Remember…

A: given  diameter is  10 inches height is 8 inches formula for volume is  V=13πr2hwhere r is radius…

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Q: Solve for x. 4(x + 4) - 26 = x+8

A: The given equation is: 4x+4-26=x+8   As we know from the distributive law: ab+c=ab+ac

Q: Maia finds a new tablet on sale for 40% off and decides to buy it. In the store's location, the…

A: To find amount after sales tax.

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Q: Show that A = (A\B) U (ANB)

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Q: Perform the indicated operation and express the result as a simplified complex number. (5 - 6i)…

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Q: x + 2 3x-4 4. Find the inverse of the function f(x)=; and the domain and range of each function.

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Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open…

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Q: After a 35% increase, a town has 675 people. What was the population before the increase? Before the…

A: given  after 35% increase town has 675 peoples let population before increase is x people

Q: You are at the store and find a shirt that the price tag says $40.00. When you go to pay the store…

A: we need to to find out the perfect change.

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Q: For the below function, make the desired transformation to the correct function. Describe the…

A: Let's find new equation after transformation.

Q: Solve the following initial value problem: y(t) dy dt +0.7ty=6t, y(0) = 5

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Q: 5 Write an equation of the line satisfying the given conditions. (Hint: Recall the relationships…

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Q: Let V/1 ----- For what value of h is y in the span of the vectors v1 and v₂? h

A: Let, v1=15-4,  v2=-3-168, y=843h To determine the value of h in the span of the vectors v1 and v2.…

Q: Given f(x) = x2 + 9x and g(x) = 1 - x², find f + g, f - g, fg, and f 10

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Q: Given the graph of f(x), ev 05 0-1 02 00

A: According to the given graph we can conclude the value of f( x ) at some value of x these are as…

Q: 1. a. Consider the inequality -1 ≤. i. Predict which values of x will make the inequality true. ii.…

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Q: 4. The height h of a geometric solid varies directly as the volume V and inversely as the square of…

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Q: Given vector = v 1 -5 3 state a vector with all non-zero entries which is orthogonal to v.

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Q: b) -3x (-5x + 4) + 9x-x² d) 2x (4x + 5) - 9x³ - 6x²

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Q: Let U={1, 2, 3, 4, 5, 6, 7), A=(3, 5, 6, 7), and B = {4, 6, 7). Find the set A' B'.

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Q: Write out the proper prime factorization and list all the natural factors. 1. 490 2. 300 3. 686

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Q: Assume that the given angles have been measured, and calculate the angle (marked as x) that could…

A: given   a=56°given  angle between ground and the wall iforms right angle we know right angle=90°

Q: Find the general solution of the differential equation d2y/dx2 - 6dy/dx + 13y = 6e^3x .sin x.cos x…

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Q: Mike Branson invested his summer earnings of $2000 in a savings account for college. The account…

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Q: Find the center and radius of the circle whose equation is x² + 3x + y² + 6y + 4 = 0.

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Q: values of x and y. 9 + (x + y)i = 9 - i x + 2i = 9 + 2i ور

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Q: Select each equation that represents a direct variation. x+y = 3 y = 3 xy = 3 3 y y = 3x

A: given  direct variation let  a variable ix x and a is y

Q: Find the average rate of change of the function from x = 1 to x = 2. 6 x2 f(x) = --

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Q: What value are part of the domain of (-∞, -6) 0x=-6 (-6, -2) x=12 (-2,2) x=2 of f(x) = √2+ (2,00)…

A: f(x)=x+6x2-4for domain x2-4≠0

Q: Find the distance between points a and b on a number line. a = 1 4 ,  b = 15 4

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Q: Use the point-slope formula to write an equation of the line that passes through (-2, 3) and (2,-6).…

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Q: Evaluate the function f(x)=x2+7x−4 at the given values of the independent variable and simplify.…

A: Given function f(x)=x2+7x−4

Q: Graph the following piecewise function on the set of axes below. f(x) = = [x], -5≤x≤2 −2x+10, 2≤x≤6…

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Q: Let u, v and w be vectors of a vector space V. Prove that: if u + v = u + w, then v = w.

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Q: #1) 4x + 7y = -24               #2) 7x - 4y = -19              #3) -3x - 6y = 21             #4)…

A: Here is the solution

Q: The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 77…

A: The area of the rectangle having length l and width w is given as A=l×w.

Q: Solve the quadratic equation by factoring. 2x + 24x +22=0

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Q: which value x is a solution to this equation 5x2-36x+36=0

A: given  5x2-36x+36=0

Q: If det (A) = 3. det (B) = -4. and det (C) ((AC)TB-144) = Then, det 5 for invertible n x n matrices…

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Q: Solve for x. √√T-1=2x

A: Given equation x3 - 1 = 2x

Q: 5) A farmer wants to enclose a sheep field using 800 feet of fencing. The pen is to be 3-sided and…

A: Let the dimensions of the rectangular field side along the river side = x other side = y

Q: 8pxq4 4(p²xq5j² ×p³ × 3q³ × p-5 × q-² = Ap²qu The expression The value of y = Answer:

A: let B=8pq44(p2×q5)2×p3×3q3×p-5×q-2we know   ax×ay=ax+y

Q: A middle school counselor, attempting to correlate school performance with leisure interests, found…

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Q: Solve for the variable, expressing any non- integer as a mixed number

A: Solving for 'a'

Q: In 3 and 4, an equation for a step function is given. Identify each. a. its domain b. its range 3.…

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