what is the equation of the line with slope -7 which goes through the point (2,5)

Answer:

A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Answer: A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Step-by-step explanation:

Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.

When the sides and angles of two triangles match, the triangles are said to be congruent. When the angles of two triangles match, the triangles are said to be similar. Thus, two triangles can be superimposed side to side and angle to angle.

Hence, when the sides and angles of two triangles match that triangle is congruent and When the angles of two triangles match that triangle is similar.

To learn more about congruent triangle theorem link is here

brainly.com/question/29475209

#SPJ4

The means of two or more populations being equal is determined by a statistical approach for the ANOVA procedure. Option B is correct.

The ANOVA (Analysis of Variance) procedure is a statistical method used to determine whether there is a significant difference between the means of two or more groups. To statistically test the equality of means ANOVA uses F-tests.

The repeated-measures ANOVA is a two-stage process that is described as an analysis of dependencies. This test is used to prove an assumed cause-effect relationship between variables. The conditions that must be met for the results of an ANOVA are Independence, Random Sampling, Large Sample Size, and Normality.

To learn more about the ANOVA :

https://brainly.com/question/30127764

#SPJ4

Answer:

I cant graph on here

Step-by-step explanation:

Answer:

3x-5 if x≤-1    = Green

-2x+3 if -1<x<4   = Orange

2 if x≥4  = Purple

The number of phones sold is 15 and the number of accessories sold is 24, and the graph is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

Samir earns an $8 commission for every phone he sells and a $4 commission for every accessory he sells,

Total money earned = $216,

Total number of phones  and accessories sold = 39

Write the equation of the above statement as shown below,

8x + 4y = 216,

x + y = 39

Assume the number of phones sold is x and the number of accessories sold is y,

Solve the equation by elimination as shown below

x = 15,

y = 39 - 15 = 24

The graph is also attached below,

To know more about Graph:

https://brainly.com/question/10712002

#SPJ1

Answer:

i dont see the graph need more info

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

1.8 * 15 = 27 total earning

27-20 = 7 profit

$ 7 profit  / $20 cost  = 0.35

0.35*100 = 35%

The given linear transformation dx maps a function f(x) to its derivative, dx(f) = 4x^2. To find the preimage, we need to determine the original function f(x) that satisfies this derivative.

By integrating the derivative with respect to x, we can find the antiderivative F(x) of 4x^2. The antiderivative is obtained by reversing the process of differentiation.

The antiderivative of 4x^2 is (4/3)x^3, where (4/3) is the coefficient of the term and x^3 is the term raised to the power one higher than the exponent in the derivative. The constant of integration C is added to account for the family of functions that have the same derivative.

Therefore, the preimage of the function dx(f) = 4x^2 is F(x) = (4/3)x^3 + C, where C represents any constant value.

A). Surface area of option1 is 256.85 in²

surface area of option 2 is 309.35 in²

surface area of option 3 is 223.1 in²

B) volume of option 1 is 249.8 in³

volume of option 2 is 249.8 in³

volume of option 3 is 249.8 in³

C). The volumes are thesame

D). I will choose container 3

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A. The surface area of a cylinder is expressed as;

SA = 2πr(r+h)

for option 1

SA = 2 × 3.14 × 5( 5+3.18)

= 31.4 ( 8.18)

= 256.85 in²

For option 2

SA = 2 × 31.4 × 6( 6+2.21)

= 37.68( 8.21)

= 309.35 in²

for option 3

SA = 2 × 3.14 × 3 ( 8.84+3)

= 18.84 × 11.84

= 223.1 in²

B. For volume, the volume of the cylinder is expressed as;

V = πr²h

for first option

V = 3.14 × 5² × 3.18

V = 249.63 in³

For option2

V = 3.14 × 6² × 2.21

V = 249.8 in³

for option 3

V = 3.14 × 3² × 8.84

V = 249.8 in³

C. The cylinders have different surface areas but almost thesame volumes

D. I will advice the company to choose option 3 because it has the lowest surface area and the cost of producing the container will be lesser to others.

learn more about surface area and volume of cylinder from

https://brainly.com/question/27440983

#SPJ1

Answer:

K = -7

Step-by-step explanation:

If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0

Given the 2×2 matrices

A = \(\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right]\)

We are to find K if  =0

A² =  \(\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right]\)\(\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right]\)

A² = \(\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right]\)

8A = 8\(\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right]\)

8A = \(\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right]\)

Since \(I = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] \\\)

\(KI = \left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right]\)

Substitute the resulting matrices into the expression above:

A^2-8A-KI =  \(\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right]\) - \(\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right]\) - \(\left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right]\) =\(\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]\)

From the expression, we have the equations;

1 - 8 - k = 0

-7 - k = 0

-7 = k

k = -7

Hence the value of K is -7

Answer:

630

Step-by-step explanation:

Answer:

630

Step-by-step explanation:

90/6=15

42/6=7

Those are the lowest you can go in those numbers and when you do 90*42  

it is 3780. Divide that by 6 and it is 630.

Answer:

10,11

Step-by-step explanation:

Givne set: {7, 8 , 9 , 10 , 11}

To solve the inequality, isolate 'h'.

        2h - 3 > 15

Add 3 to both sides,

     2h - 3 + 3 > 15 + 3

               2h  > 18

Divide both sides by 2,

                \(\sf \dfrac{2h}{2} > \dfrac{18}{2}\)

                 h > 9

h = {10 , 11}

Answer: 16 meters

Step-by-step explanation:

1 cm         4cm

--------    =  ---------

4m             16m

Answer:

y = \(\frac{4}{3}\)\(x\) \(-7\)

Step-by-step explanation:

Use the points (9, 5) and (6, 1) to identify the slope of the graph

\(m\) = \(\frac{y^2-y^1}{x^2-x^1}\)

m = \(\frac{1-5}{6-9}\)

m = \(\frac{-4}{-3}\)

m = \(\frac{4}{3}\)

The y-intercept is -7 because -7 touches y axis causing it to be the y-intercept

Answer:

n > 5

Step-by-step explanation:

Answer:

3n + 2 > 17

Step-by-step explanation:

3n + 2 > 17

-2 -2

3n > 15

÷3 ÷3

n > 5

The null hypothesis for the single factor ANOVA states that all means are equally true.

The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.

The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.

The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.

Hence, the statement is true .

To know more about null hypothesis click here :

https://brainly.com/question/30821298

#SPJ4

Answer:

7-56n

Step-by-step explanation:

By using the distributive property you multiply the 7 to the 1 which equals 7. Then you distribute the 7 to the -8n which gives you -56n becaus emultiplying a negative and a possitive gives you a negative.

The required solution is -56n+7.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Rearrange terms

7(1 - 8n)

=7(-8n+1)

Then distribute by multiplying 7 we get,

-56n+7

Therefore, the required solution is -56n+7.

Learn more about  algebra here:

brainly.com/question/17516957

#SPJ6

Answer:

The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

Find the slopes of both lines with rise/run

f(x): 3/1 = 3

g(x): 2/4 = 1/2

The slope of g(x) is less than the slope of f(x)

Answer:

B. The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).

2 + 5sin((2π/80)t + d)  an equation that models your height, in metres, above the ground as you travel on the Ferris Wheel over time, t in seconds.

A Ferris wheel with a diameter of 10 m and makes one complete revolution every 80 seconds. The objective is to determine an equation that models your height, in metres, above the ground as you travel on the Ferris Wheel over time, t in seconds.

Assume that at time t=0 the Ferris Wheel is at the lowest position of 2 m.

To obtain the equation that models your height, h above the ground as you travel on the Ferris wheel over time, t in seconds, we use the sine function as follows:

sine function:

h(t) = a + b

sin(ct + d)

Where:

a represents the vertical displacement of the graph,

b is the amplitude of the wave,

c is the frequency of oscillation, and

d is the phase shift of the graph.

For the given Ferris wheel,
diameter, d = 10 metersradius, r = d/2 = 5 meters

The circumference of the Ferris wheel is,2πr = 2 × π × 5 = 10π meters

One complete revolution will be equivalent to the circumference,

2πr80 seconds is required for one complete revolution which will be equivalent to the period, T = 80s

Therefore, the frequency of oscillation, c = 1/T = 1/80

As given, at time t=0, the Ferris Wheel is at the lowest position of 2 m.

So, the vertical displacement of the graph, a = 2 m.

The amplitude of the wave, b = r = 5 m

Putting all the values in the formula:

h(t) = a + b

sin(ct + d)

h(t) = 2 + 5sin((2π/80)t + d)

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

There are 30 of 1/10's in the number 3

From the question, we have the following parameters that can be used in our computation:

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

Read more about fractions at

https://brainly.com/question/17220365

#SPJ1

Answer:

-5-10 is not 10 it will be -15 ..

Step-by-step explanation:

mark me as brainliest ❤️

Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

To learn more about Coefficient of Variation visit:

https://brainly.com/question/13977805

#SPJ4

Answer:

Let x be the width of the pool. Then the length of the pool is 2x, since it is twice as long as it is wide.

The area of the pool is (2x)(x)=2x^2

The total area of the pool and the walkway is 2x^2+196 square feet.

We can set up the equation using this information:

2x^2 + 22x = 196

Where 22x is the area of the walkway, 22x = 2x * 2 = 4x

2x^2 + 4x = 196

2x^2 + 4x - 196 = 0

Using the quadratic formula to solve the equation above:

x = (-b ± √(b^2 - 4ac))/2a

x = (-4 ± √(4^2 - 42196))/2*2

x = (-4 ± √(16 - 1568))/4

x = (-4 ± √(-1552))/4

Since x is width of the pool, it cannot be a negative value, the x value that is negative must be rejected. Therefore x = (-4 + √1552)/4 = 8

The width of the pool is 8 feet and the length is 2x = 2*8 = 16 feet

Answer:

I think it's z= 110/3

Step-by-step explanation:

Answer:

z = 36.68

Step-by-step explanation:

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

To know more about trigonometric expressions refer here:

https://brainly.com/question/12676341#

#SPJ11

The function f(x) = 2x^4 - 4x on the interval [0,2] is c = \((3/2)^{(1/3)}.\)

To find a number c that satisfies the conclusion of the mean value theorem for the function \(f(x) = 2x^4 - 4x\) on the interval [0,2],

We need to verify that the function is continuous on the interval [0,2] and differentiable on the interval (0,2).

The function is a polynomial, so it is continuous on the interval [0,2].

To show that the function is differentiable on the interval (0,2), we need to check that the derivative exists and is finite at every point in the interval.

Taking the derivative of f(x), we get:

\(f'(x) = 8x^3 - 4\)

This derivative exists and is finite at every point in the interval (0,2).

Now, we need to find a number c in the interval (0,2) such that f'(c) = (f(2) - f(0))/(2-0), or equivalently, such that:

f'(c) = (f(2) - f(0))/2

Substituting the function and simplifying, we obtain:

\(8c^3 - 4 = (2(2^4) - 4(2) - (2(0)^4 - 4(0)))/2\)

Simplifying further, we get:

\(8c^3 - 4 = 24\)

Solving for c, we obtain:

\(c = (3/2)^{(1/3)}\)

Therefore, a number c that satisfies the conclusion of the mean value theorem for the function \(f(x) = 2x^4 - 4x\) on the interval [0,2] is c = \((3/2)^{(1/3)}.\)

Learn more about mean value theorem

brainly.com/question/29107557

#SPJ11

Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ6