find an equation for the line that passes through the point (7,1) and is perpendicular to the line x-3y+25=0​

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Work Shown:

2/15 = h/125

2*125 = 15*h .... cross multiply

250 = 15h

15h = 250

h = 250/15

h = (5*50)/(5*3)

h = 50/3

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Extra info:

50/3 = (48+2)/3

50/3 = (48/3)+(2/3)

50/3 = 16 + (2/3)

50/3 = 16 & 2/3

The improper fraction 50/3 converts to the mixed number 16 & 2/3

Another way to see this is to use long division to get 50/3 = 16 remainder 2.

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

Answer:

Oiiiiio ka cha thik cha

Complete question is;

In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.

Answer:

σ = 1.77

Step-by-step explanation:

We are told that 70% stated that they plan to graduate with a STEM degree.

This means that probability of success is; p = 70% = 0.7

A sample of 15 female college students were randomly selected, this means that number of trials is;

n = 15

Now,in binomial distribution formula for standard deviation is;

σ = √(np(1 - p))

Plugging in the relevant values, we have;

σ = √(15 × 0.7 × (1 - 0.7))

σ = √(15 × 0.7 × 0.3)

σ = √3.15

σ ≈ 1.77

Answer:

2

Step-by-step explanation:

I think

Answer:

x=64

Step-by-step explanation:

Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

Answer:

A) Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume

Step-by-step explanation:

A) We are told that the mean sales volume is 14 automobiles per month.

The hypotheses is defined as follows;

Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.

Answer:

C

Step-by-step explanation:

Ed2021

The missing coefficient of xy² is 972, option C is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³

To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.

According to the binomial theorem, the expansion of (a + b)^3 is:

(a + b)³ = a³ + 3a²b + 3ab² + b³

Comparing this with the given polynomial, we can see that a = 9x and b = -2y.

Substituting these values in the binomial theorem, we get:

(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³

Simplifying this expression, we get:

729x³ - 1,458x²y + 972xy² - 8y³

Therefore, the missing coefficient of xy² is 972, option C is correct.

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-14 is the Determinant of given matrices A.

A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).

Given a Mtrix A:

3       1

11     -1

The formula for the determinant of a matrix:

The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.

In our case,

Determinants of A = (3 * -1 ) - (1 * 11)

Determinants of A = -3 -11

Determinants of A = -14

Therefore, the Determinant of given matrices A is -14.

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Complete question:

What is the determinant of

A=  3       1

       11     -1

Answer:

28 weeks

Step-by-step explanation:

It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.

1. $42 x 3 = $126

2. $126/$4.5 = 28

3. The answer is Sharon has been saving her allowance for 28 weeks.

Hope this helps!

-Jerc

Answer:

She has been saving her money up for 28 weeks.

Step-by-step explanation:

1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126

2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.

Answer:

I can't see it very well sorry

Answer:

Caleb must deliver at least 11 packages a day

P=11

Answer:

1.y=-2x+7

2. no

3.yes

Step-by-step explanation:

Answer:

fwe

Step-by-step explanation:

Answer:

A. 25.82

Step-by-step explanation:

(3*Tim)+(3*tom)=214.53

(3*45.69)+(3*tom)=214.53

137.07+(3*tom)=214.53

-137.07+(3*tom)=214.53-137.07

3*tom=77.46

tom/3=77.46/3

tom=25.82

Answer:

0

*see below incase you worded it wrong

Step-by-step explanation:

then we substitute 2 for f(x)

2 = 3x + 2

0 = 3x

x = 0

UNLESS you mean f(2) is what then that is:

f(2) = 3(2) + 2 = 8

hope that helps!

Answer:

sorry for my handwriting

i think this is the correct answer

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

Answer:     84.535 Quartas.

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

let x be cost of a hotdog

let y be cost of hamburger

so,

5x + 4y = 17.75                    eq. 1

4x + 5y = 18.25                    eq. 2

manipulate eq. 1 so solve for x:

5x = 17.75 - 4y

x = 17.75/5 - (4/5)y

x = 3.55 - (4/5)y                  eq. 3

substitute eq. 3 to eq. 2:

4(3.55 - (4/5)y) + 5y = 18.25

14.2 - (16/5)y + 5y = 18.25

14.2 + (9/5)y = 18.25

(9/5)y = 18.25 - 14.2

4.05= (9/5)y

y = 2.25

x = 3.55 - (4/5)(2.25)

x = 1.75

hotdog costs $1.75

hamburger costs $2.25

Answer:

y=arcsinx and y=arctanx

Step-by-step explanation:

The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.

The diagram is given below.

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Answer:

9 degrees

Step-by-step explanation:

18/2=9

Answer:

Y=4

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

The average rate of change of the function over the interval 2 < x < 10 is 5

The function is given as:

h(x) = x^2 - 7x + 8

Calculate h(2) and h(10)

h(2) = 2^2 - 7 * 2 + 8

h(2) = -2

h(10) = 10^2 - 7 * 10 + 8

h(10) = 38

The average rate is then calculated as:

Rate = (h(10) - h(2))/(10 - 2)

This gives

Rate = (38 + 2)/(10 - 2)

Evaluate

Rate = 5

Hence, the average rate of change of the function over the interval 2 < x < 10 is 5

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Answer:

Yes

80-24

Step-by-step explanation:

Using distributive property, multiply 8 by 10 and 8 by negative 3.