g(x) = 5x + 7
Use G=(14)

Answer:

-360

Step-by-step explanation:

Given:

[tex] a = \frac{180(n - 2)}{n} [/tex]

Solve for n. Multiply both sides by n

[tex] a*n = \frac{180(n - 2)}{n}*n [/tex]

[tex] an = 180(n - 2) [/tex]

Apply the distributive property

[tex] an = 180n - 360 [/tex]

Subtract 180n from both sides

[tex] an - 180n = - 360 [/tex]

Factor out n

[tex] n(a - 180) = - 360 [/tex]

Divide both sides by (a - 180)

[tex] n = \frac{-360}{a - 180} [/tex]

Therefore, the numerator of the fraction that n is equal to is -360

Answer:

y=200+3x

Step-by-step explanation:

I hope that this helps you

Answer:

a. 48.1 square inches

b. yes

c. 2.51 in

Step-by-step explanation:

a. How many square  inches of paper are left over?

To know this, we need to calculate the area of the sheet of colored paper and then subtract the are of the circle from it.

So, A = area of colored paper = 8" x 12" = 96 in²

A'= Area of 3 inch radius circle = πr²

= π(3)²

= 9π in²

A" = Area of 5 inch diameter circle = πd²/4

= π(5)²/4

= 25π/4 in²

= 6.25π in²

A₀ = area of circles = 9π in² + 6.25π in²

= 15.25π in²

= 47.91 in²

So, there are left A₁ = A - A₀

= 96 in² -  47.91 in²

=  48.09 in²

≅ 48.1 in²

So there are 48.1 square inches left over.

b. Is it possible to cut another circle with a 3 inch radius from  the paper?

To know this, we calculate the area of a 3 inch radius paper and see if it is less or more than the remaining area of paper. If it is less, it can be cut.

So, A₂ = Area of 3 inch radius circle = πr²

= π(3)²

= 9π in²

= 28.3 in²

Since A₂ = 28.3 in² < A₁ = 48.1 in² (the rest of the colored paper area), it can be cut. So the answer is yes, another circle with a 3 inch radius can be cut from  the paper.

c. If the 3 inch circle fits what is the largest circle (What is its radius) you can  draw that will still fit on your paper.

We find the area of the remaining colored paper by subtracting the area of the 3 inch circle from the remaining area. So.

A₃ = A₁ - A₂

= 48.1 in² - 28.3 in²

= 19.8 in²

This is the area of the remaining colored paper. We then find the radius, r of the circle with area A₃ = 19.8 in² that would fit into the area.

So, A₃ = πr²

r = √(A₃/π)

= √(19.8 in²/π)

= √(6.302 in²)

= 2.51 in

Answer: 107 students

Step-by-step explanation: 115 minus 8 is 107

Answer:

132

Step-by-step explanation:

becca have 115-8= 107 so 107+25= 132

Answer:

It is C

Step-by-step explanation:

Just Finished the test and that's the answer

Answer:

x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149

Answer:

yes all the time

Step-by-step explanation:

Answer:

Step-by-step explanation:

980

Answer:

First, I go by finding x and r.

After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)

If you are still confused, comment down and I'll try to provide better explanation!

A rectangle is drawn so the width is 14 inches longer than the height. If the rectangle's diagonal measurement is 26 inches, the height is 10m.

Let the height is H and width is w

So w= 14+H

And diagonal is 26

So if diagonal is d

d^2 = w^2 + H^2 = 26^2

So (14+H)^2 +H^2 = 676

196 +2H^2+28H = 676

H^2+14H-240 = 0

H^2+24H-10H -240 = 0

H(H+24) -10(H+24) = 0

So H =10,-24

So only H = 10m is possible.

So height is 10 m

A diagonal is a line segment that connects two polygonal corners (vertexes), although it is not an edge (side). In other words, it connects any two polygonal vertices that are not neighboring. In a polygon, a diagonal is created by directly connecting any two vertices that are not connected by a side.

To learn more about diagonal visit:https://brainly.com/question/12274248

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Answer:

C

Step-by-step explanation:

The width of the screen is approximately 15.65 or √(245) inches. The correct answer would be an option (C).

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The height of the screen (AB) is 14 inches, and the diagonal distance (AC) is 21 inches.

AB² + BC² = AC²

We can use these values to solve for the width of the screen (x):

x² = 21² - 14²

x²  = 441 - 196

x²  = 245

To solve for x, we can take the square root of both sides of the equation:

x = √(245)

x ≈ 15.65

Thus, the width of the screen is about 15.65 or √(245) inches.

Learn more about Pythagoras's theorem here:

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Answer:

C. [tex]x = 3\cdot (y-3)^{2}+1[/tex]

Step-by-step explanation:

From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in [tex]V(x,y) = (h,k)[/tex] is described below:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex.

[tex]C[/tex] - Vertex factor.

If we know that [tex]h = 1[/tex] and [tex]k = 3[/tex], then the equation of the parabola is:

[tex]x-1 = C\cdot (y-3)^{2}[/tex]

[tex]x = C\cdot (y-3)^{2}+1[/tex]

Therefore, the option that could be its equation is C.

9514 1404 393

Answer:

  7 pieces

Step-by-step explanation:

In the 8 days between day 10 and day 18, Andre's candy decreased by 115-43 = 72 pieces. In the next 4 days (half the time of that decrease), we expect it to decrease by half that amount, so 72/2 = 36 pieces.

After 22 days, the amount remaining will be 43 -36 = 7 pieces.

Answer:

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Step-by-step explanation:

i. For rectangle ABCD;

length, l = 2x -3

width, w = 4x + 5

Perimeter of a rectangle = 2(l + w)

Perimeter of ABCD = 2((2x -3) + (4x + 5))

                                = 2(2x -3 + 4x + 5)

                                = 2(6x + 2)

Perimeter of ABCD = 12x + 4

ii. For rectangle PQRS;

length, l = x - 1

width, w = 3x + 2

Perimeter of a rectangle = 2(l + w)

Perimeter of PQRS = 2((x - 1) + (3x + 2))

                                = 2(x - 1 + 3x + 2)

                                = 2(4x + 1)

Perimeter of PQRS = 8x + 2

So that,

Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)

                                          = 12x + 4 - 8x - 2

                                          = 4x + 2

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Answer:

16 is the answer

Step-by-step explanation:

4 4/5 x 10/3

Answer:

16

Step-by-step explanation:

4 4/5 / 3/10 =

24/5 / 3/10 =

24/5 x 3/10=

240/15 / 15/15 =

16

hope it helps , mark brainleist if u want and thx

Answer:

it is 385$ because if you divide 70 by 2 you get 35 which is your constant rate so then you divide 77 by 7 to get the number of weeks(11) so then you multiply 11x35 to get the answer of 385

Step-by-step explanation:

70 divided by 2 = 35

77 divided by 7 = 11

35 times 7 = 385

Answer:

C. 385

Step-by-step explanation:

2/70 first you find out the rate by dividing both top and bottom by 2 and you get

1/35 that means every week he is saving $35

77 days = 11 weeks

so you do 11 * 1 = 11 and

11*35 which gets you

385

hope this helps, please make brainliest

Answer: [tex]14*\sqrt[3]{x^{10}}[/tex]

Step-by-step explanation:

First, let's remember the rules:

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

such that:

[tex]\sqrt[n]{x^m} = x^{m/n}[/tex]

[tex](x^a)^b = x^{a*b}[/tex]

[tex]x^a*x^b = x^{a + b}[/tex]

Now we have the equation:

[tex]4*\sqrt[3]{x^{10}} + 5*x^3*\sqrt[3]{8*x}[/tex]

First, let's rewrite the roots as we saw above:

[tex]4*x^{10/3} + 5*x^3*\sqrt[3]{8}*x^{1/3} = 4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3}[/tex]

We also know that: [tex]\sqrt[3]{8} = 2[/tex]

and that:  [tex]3 + 1/3 = 9/3 + 1/3 = 10/3[/tex]

Replacing those two things in our equation, we get:

[tex]4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3} = 4*x^{10/3} + 5*2*x^{10/3} = (4 + 5*2)*x^{10/3}[/tex]

[tex](4 + 10)*x^{10/3} = 14*\sqrt[3]{x^{10}}[/tex]

Where in the final step, I returned to the cubic root form.

Answer:

Step-by-step explanation: [tex]14x^{3} \sqrt[3]{x}[/tex]

Answer:

c=33/2

Step-by-step explanation:

25+8=2c

33=2c

33/2=c

Answer:

Step-by-step explanation:

Wow

Answer:

9/7

Step-by-step explanation:

Answer:

10/4, -10/-4, -5/-2, and 5/2

Step-by-step explanation:

These are equivalent.

Answer:

Option D

Step-by-step explanation:

Probability of an event = [tex]\frac{\text{Favorable outcome}}{\text{Total number of outcomes}}[/tex]

Favorable outcome = sum of numbers is 6 on rolling two cubes

                                 = (5 + 1), (4 + 2), (3 + 3), (2 + 4), (1 + 5)

Therefore, number of rolls that she gets a sum of 6 = 5

Total number of outcomes = 6 × 6 = 36

Therefore, probability that she rolls a sum equal to 6 = [tex]\frac{5}{36}[/tex]

Therefore, Option D will be the answer.