Determine the area of this circle.
Area = ??? in^2

Answer:

12s^2 - s - 20

Step-by-step explanation:

It's simplest form is when it's fully expanded.

To expand: (3s-4)(4s+5)

(3s * 4s) + (3s * 5) + (-4 * 4s) + (-4 * 5)

= 12s^2 + 15s -16s -20

= 12s^2 - s - 20

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

   Expression representing the number of books after 5 years,              

                           [tex]A(60)=10000(1.01)^{60}[/tex]

          [tex]A(t)=A_0(1+r)^t[/tex]

          Here, [tex]A(t)=[/tex] Final amount

          [tex]A_0=[/tex] Initial amount

           [tex]r=[/tex] Growth rate

           [tex]t=[/tex] Duration or time

Given in the question,

Substitute these values in the expression,

[tex]A(t)=A_0(1+r)^t[/tex]

[tex]A(60)=10000(1+0.01)^{60}[/tex]

      Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]

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it 4.56 that how i know because

Answer:

x*(x+3)*(x^2)

Step-by-step explanation:

Width: x meters, length: x + 3 meters, height x^2 meters

It's an expression, so there's no simplifying needed.

x(x+3)(x^2)

But if I'm wrong and it's supposed to be simplified, Read the rest.

First, multiply x by x + 3

x(x + 3)

x^2 + 3x

Now, multiply x^2 + 3x by x^2

(x^2)(x^2 + 3x)

x^4 + 3x^3

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Answer:

i think its c

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

My guess would be B

Step-by-step explanation:

I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses

answer on Brainly.

The original price of the racket is $30

Let the original price be x

If there is 30% off the original price, then the new price will  be 0.7x

If the price of tennis racquet is now $21, hence;

0.7x = 21

Divide both sides by 0.7

0.7x/0.7 = 21/0.7

x = 21/0.7

x = $30

Hence the original price of the racket is $30

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Answer:

0.01

Step-by-step explanation:

the answer is 0.010834 so I would round that to 0.01

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

[tex]Orna\ ments = 2[/tex]

[tex]Time = 4[/tex]

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

[tex]Unit\ Rate = \frac{Orna\ ments}{Time}[/tex]

Substitute values for Time and number of ornaments

[tex]Unit\ Rate = \frac{2}{4}[/tex]

[tex]Unit\ Rate = \frac{1}{2}[/tex]

This implies that Constance can decorate 1/2 ornaments in an hour

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

---------------

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

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Answer:

[tex]y = {x}^{2} - 4x[/tex]

Answer:

See explanations below

Step-by-step explanation:

Given the equation

6x-9 = 15

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

For the equation

16x - 20 = 44+ 5x

Since we have x variables on both sides, we will collect the like terms

16x - 5x = 44+20

11x = 64

Divide both sides by 11

11x/11 = 64/11

x = 64/11

x = 5.82

Hence the value of x is 5.82

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Answer:

Both are equal to [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]

[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

1 over 4

Step-by-step explanation:

if u do rise over run it will be 1 over 4 as well

Step-by-step explanation:

x=20 y =5

y=mx+b

b=0

5=20m

m=5/20=0.25

the slope is 0.25

Answer:

x = -1.791 and x = 2.791

Step-by-step explanation:

To solve this problem, we have to plot this graph using  tool so we also know which of the lines is right.

The solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.

A given quadratic equation is an equation that has the highest degree of 2. Further more, when plotted on a graph, it has a parabolic shape.

The given equation is

[tex]3= x^2 - x - 2\\y = x^2 - x -5[/tex]

Let's proceed to plot this graph and we would see the solutions at the point in which the lines curves.

Using that, the solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.

The solution are

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Answer:

Answer:

r=60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

3-r/8=-9/2

r/8=3-(-9/2)

r/8=3+9/2

r/8=6/2+9/2

r/8=15/2

r=(15/2)*(8/1)

r=120/2

r=60

Answer:

40.32

Step-by-step explanation:

I did it on Goggle

Answer: It's an acute triangle.

Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer

The triangle with side lengths 8, 12, 14 is an obtuse triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

8² + 12² = 64 + 144 = 208

14² = 196

Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.

Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.

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Answer:

f(x) = x3

Step-by-step explanation: im not smart i just looked up your question and thats what i got

Answer:

It would cost 3 dollars.

Answer:

3 dollars

Step-by-step explanation:

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

Answer:

-12

Step-by-step explanation:

as the poem goes,

if you are bad at being good then you are bad

if you are good at being good then you are good

if you are bad at being bad then you are good

if you are good at being bad then you are good

take the third line into account

-12 - -12 is the same as -12 + 12 = 0