The cost of a new robotic toy after an 8% markup can be represented by the expression r+0.08r . Simplify the expression.

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

Answer is 4 because

(-2)-(4)=2

Answer:

5. 314.16 feet squared

6. 615.75 inches squared

7. 254.47 kilometers squared

8. 380.13 yards squared

Step-by-step explanation:

A=πr^2

For 5 and 6 plug in the numbers and multiply. For 7 and 8, they give you the diameter, to find the radius, simply divide the number by 2, then plug the number into the formula.

Have a good day :)

Answer:

14mph

Step-by-step explanation:

First, lets find how many 16s can go into 60.

We can find this by doing 60 / 16 = 3.75

Then we need to find his average speed. We can find this by doing

18.4 * 3.75 = 69

To find how much he exceeded the speed limit, we will subtract 55 from 69

69 - 55 = 14

Therefore, Femi's average speed exceeded the speed limit by 14mph.

Answer:

C

Step-by-step explanation:

Hii I hope this helps I'm a bit rusty on this stuff but I'm sure it right

the answer is V= 1657.0 in^3

Answer:

1657

Step-by-step explanation:

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

Answer:

C; D; E

Step-by-step explanation:

✔️Angles in a straight line = 180°

Therefore, m<5 + m<6 = 180° is correct.

✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.

Therefore,

m<2 + m<3 = m<6 is correct.

✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.

Answer:

Step-by-step explanation:

Let the equation of the function is,

y = mx + b

Here, m = slope of the function

b = y-intercept

y-intercept of function is the y-value of a point where x = 0.

From the table given,

y-intercept 'b' = 1

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (2, 6) and (4, 2) will be,

Slope = [tex]\frac{6-2}{2-4}[/tex]

          = [tex]-2[/tex]

Equation of the line will be,

y = -2x + 1

B). Slope of the line = -2

x-intercept of the line (at y = 0),

y = -2x + 1

0 = -2x + 1

x = [tex]\frac{1}{2}[/tex]

y-intercept of the line = 1

y-intercept indicates that the power of the battery was 100% when we turn on the laptop.

C). Equation of the line is,

y = -2x + 1

Here, y = power remaining

x = Hours

For y = 75% ≈ 0.75

0.75 = -2x + 1

0.75 - 1 = -2x

-0.25 = -2x

x = 0.125

Therefore, after 0.125 hours battery power will be 75%.

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the percent of battery after x hours.

From the table using the points (0, 1) and (4, 0.2):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]

At y = 75% (0.75):

0.75 = -0.2x + 1

x = 1.25 hours

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

1 inch

Answer:

a) A = 8000(1 + .06/4)^4t

b) $9,564.95

Step-by-step explanation:

b) A = 8000(1 + .06/4)^12

Answer:

no

Step-by-step explanation:

x²-2x-5=0

a=1

b=-2

c=-5

So also you need to correct the equasion according to the schematic below:

x=(-b+-root(b²-4*a*c))/2*a

Answer: It’s Title 26 of the U.S. Code that contains nearly all of the federal tax laws.

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex] m³

Answer:

450

Step-by-step explanation:

6% = 0.06

0.06x = 27

Divide both sides by 0.06

x = 450

Answer:

81.68

Step-by-step explanation:

Answer:

D. The new volume is twenty-seven times the old volume.

Step-by-step explanation:

Old volume:

Volume = length x width x height

Volume = 8 x 4 x 2

Volume = 64

New volume:

Volume = length x width x height

Volume = 24 x 12 x 6

Volume = 1,728

1,728 divided by 64 = 27

Final Answer: 27

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Answer:

The ratio of quarters to nickels is:

Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

Where:

As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values ​​that accompany "d" in the formulas:

If we express it in ratio as it is in the exercise, we obtain:

So, 15:8 is the ratio of quarters to nickels, which means that for every 15 quarters, jon has 8 nickels.

Answer:

Bella is largely mistaken.

Step-by-step explanation:

What she described equals 90

Answer:

Option D

Step-by-step explanation:

Equation of the piecewise function,

f(x) = -x² + 2x  for x ≤ -3

        [tex]2(\frac{1}{3})^{2x}[/tex] for -3 < x < 4

         [tex]\frac{2x-5}{x-7}[/tex] for x ≥ 4

For x = -3,

f(x) = -x² + 2x

f(-3) = -(-3)² + 2(-3)

       = -9 - 6

       = -15

For x = -1

f(x) = [tex]2(\frac{1}{3})^{2x}[/tex]

f(-1) = [tex]2(\frac{1}{3})^{2(-1)}[/tex]

      = [tex]2(\frac{1}{3})^{-2}[/tex]

      = [tex]2\times 3^2[/tex]

      = 18

For x = 4

f(x) = [tex]\frac{2x-5}{x-7}[/tex]

f(4) = [tex]\frac{2(4)-5}{4-7}[/tex]

     = [tex]\frac{3}{-3}[/tex]

     = -1

Therefore, f(-3) + 2f(-1) + f(4) = -15 + 2(18) - (-1)

                                              = -15 + 36 + 1

                                              = 22

Option D will be the correct option.

Answer: The Answer is 3rd

Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

Answer:

the formula is : V=πr2h

the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)

Step-by-step explanation:

Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.

Step-by-step explanation:

m<N = ½×144 = 72°

m (NQ = 2×47 = 94°

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Step-by-step explanation:

Therefore the third side should be less than 12+15 = 27cm

And also the third side cannot be less than the difference of the two sides

Therefore, the third has to be more than 15-12 = 3cm

Thus, the third side could be the length more than 3cm and less than 27cm.

Answer:

1800 m²

Step-by-step explanation:

Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have

rate × area = cost

area = cost/rate = 13760/40 = 344 m²

Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².

Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.

So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.

The area of the rectangular field is thus the inner area plus the area of the uniform path

So, 2B² - 12B + 16 + 344

We equate this the the area of the rectangular field. So,

2B² - 12B + 16 + 344 = 2B²

- 12B + 16 + 344 = 2B² - 2B²

- 12B + 360 = 0

- 12B = -360

B = -360/-12

B = 30 m

Since the area of the field A' = 2B²,

A' = 2(30 m)²

= 2(900 m²)

= 1800 m²