Learning Diagnostic Analytics Skill plans Language arts E TN Standards Math Recommendations You have prizes to reveal! C Algebra 1 > F.17 Pythagorean theorem: word problems EU8 To wash a window that is 8 meters off the ground, Abby leans a 10-meter ladder against the side of the building. To reach the window, how far away from the building should Abby place the base of the ladder? meters Submit

Q: A CD has diameter of 120 millimeters. When playing audio, the angular speed varies to keep the linea...

A: Given data set:    Diameter of the CD= 120 millimeter   Angular speed = 240 rpm   Thus, Radius of th...

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A: Given,         The unit vector in the same direction as the vector u=-8,6,7.

Q: Predict the next number in this pattern: 11, 165, 2475, 37125, 556875, ..

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A: Solution: The objective is to find the norm of the given vector

Q: 16. If f(x) = x² + 3 and g(x) = 4x – 5, perform the following function operations: a. (f - g)(x) b. ...

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Q: 12. Write an equation and solve. Abby scored 89, 80, 96, and 93 on her first four Math quizzes. What...

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Q: Evaluate the sum:  30 Σ        (1/(i+1)^6)- (1/(i-1)^6) i=2

A: ∑i=2301(i+1)6-1(i-1)6=∑i=2301(i+1)6-∑i=2301(i-1)6Plugging the values of i we get:=136+146+156+166+17...

Q: Write an equation of the line that passes through the points. Given points (4,3) (6,-3) Please ...

A: To Find the equation of a line first of all we need to find slope of the line. So first of all will ...

Q: 63 Given the sum of the first six terms of a geometric sequence is and the common 16 ratio is find t...

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Q: I didn't know what math subject to pick so I just picked one please help

A: Given  To complete the chart

Q: A population numbers 14,000 organisms initially and grows by 2% each year. (A) Suppose P represents ...

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Q: Find three consecutive odd integers whose sum is 303. (Hint: if n represents the smallest of the thr...

A: There are three consecutive odd integers. Remember, the difference between two consecutive odd integ...

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A: Given the vector  V = [ 4 , -1 , 3] we need to find ||V|| . As we now that  let X = [x1 , x2 ,x3 ] t...

Q: Use the histogram to answer the questions. Frequency Choose which shape best describes the data. Eli...

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Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of '플 radi...

A: Given : Diameter = 10 m  

Q: A population of bacteria is growing according to the equation P(t) = 600e0.09t. Estimate when the po...

A: Since, a population of bacteria is growing according to the equation given below:-P(t)=600e0.09t -(i...

Q: 1. What is the greatest common factor of 6x2 – 3x + 18? а. 3 b. 3x С. 6х d. There is no GCF a d

A: We have to find greatest common factor of 6x^2 -3x+18. I have explained in details please check in s...

Q: Let A = [a;;] be the n x n matrix defined by aji = k and a;; = 0 if i + j. Show that if B is any n x...

A: Given: A=aijn×n,     aii=k and aij=0 if i≠k. Let B be a square matrix of order 3 which can be assu...

Q: Linear function

A: Since the graph is a straight line there for the rate of change is equal to slope of the graph. So t...

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Q: 7b + 8b^2​2​​ + 3 + y + 2b + 2y + 2 =

A: We have to find  7b + 8b22 + 3 + y + 2b + 2y + 2 =  Rearrange the terms   

Q: Suppose that you decide to buy a car for ​$58,000​, including taxes and license fees. You saved $12,...

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Q: Number 7

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Q: You want to rent a moving truck for the day. The first option has a $20 flat fee, and an extra $2.50...

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Q: Consider the following functions. f(x) = 3x + 6, g(x) = 2x - 1 Find (fo g)(x). Find the domain of (f...

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A: Given, u=-1,1  and we have to find the value of 5u

Q: Based on the picture

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Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the...

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Q: 58 (16x + 22)" (5x-2) m 134 廾 3. 4. (7x- 1)- (9x + 2)- 133 125

A: Sorry we are able to answer of first three questions as per the policy. Please resubmit the other qu...

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the ...

A: We will use trigonometric ratios to find the answer

Q: In 2020 the population of town was 17770 and is decreasing at an exponential rate of 2.5% per year. ...

A: Exponential decrement can be expressed as the standard notation y=a1-rx where y represents the final...

Q: • where not met in 200 iterationswhere not met in 200 iterations Use synthetic division to factor f(...

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Q: 5x-7 2r M

A: As PM = MQ So that  5x-7 = 11-2x 7x = 4 X= 4/7

Q: You need a 70% alcohol solution. On hand, you have a 195 mL of a 20% alcohol mixture. You also have ...

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Q: The weights for 10 adults are 72, 78, 76, 86. 77. 77. 80. 77, 82, 80 kilograms. Determine the mean. ...

A: The mean is the average of the given number. The mean is calculated as follows: mean = sum of the nu...

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Q: Multiply this binomial using the box method. (x-2)(x+3)

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Q: Find the quadratic equation that goes through the following points: (-1,-12), (2, 15), and (-3, 0).

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Q: Answer 4 and 5 with solution. Thank You.

A: Hello, thanks for the question. We’ll answer the first question since the exact one wasn’t specified...

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Q: A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $8.50 per po...

A: Given that, cost of Rift Valley Blend is $8.50 , cost of House Blend is $12.90 and the cost of mix i...

Q: Find the third side in sin

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Q: Unit test We want to fiınd the zeros of this polynomial: p(x) = 3z- 322 18r %3D Plot all the zeros (...

A: Solution: The objective is to find the zeros of the polynomial and graph the polynomial

Q: 2X+4=8X

A: Given,    2X+4=8X   Subtracting both side 2X ;   2X+4-2X=8X-2X   4 = 6X

Q: 0 0 1 -1 1 1 2 0 1 [1 -1 | Let A = 1 1 and B = %3| 3 1 Compute each of the following: (b) В? (а) АЗ ...

A: (a) part Consider the given matrix   A=10-1211310 Then, A3=A·A·A=10-1211310·10-1211310·10-1211310=10...

Q: 6.5.10 Please help me solve these math practice questions.

A:   W = The work required (N.m) to empty the bowl to the height of 7m.  y = The depth of water below t...

Q: please help me in d,e and f. a,b and c is already done

A: Find Cartesian equation of curves from parametric equations (d,e,f)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.