What is the surface area of this design?

Answer:

1023

Step-by-step explanation:

[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]

a = first term

r = common ratio

n = number of terms

Here we have

a = 1

r = 2

n = 10

[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]

[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]

[tex] S_{10} = \dfrac{-1023}{-1} [/tex]

[tex] S_{10} = 1023 [/tex]

Of course, since 10 is not such a large number of terms, you can simply do this:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023

Answer:

Step-by-step explanation:

The number of groups of 5 boys that we can have from 7 boys is 7C5 = 21

The number of groups of 5 boys that we can have from 12 students is

12C5 = 792

then the probability = 21/792 = 0.026515151515

by the way you can calculate 12C5 and 7C5 using a calculator.

Answer:

Construct two [intersecting, perpendicular] diameters and connect the four endpoints

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Answer:

B I believe

Step-by-step explanation:

have a good day

It's E

Its a scatter plot nothing is coordinated or anything.

Answer:

24 square blocks

Step-by-step explanation:

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

Answer: 83%

Explanation: idk how to explain but there ya go

Answer:

83%

Had the same question but *We love cheating for IREADY!*

Answer:

can you show the planets. or do you want real planets volumes?

Answer:

46

Step-by-step explanation:

he count of numbers from 1 to n that are divisible by k is integer part of (n/k).

So the numbers from 1 to 99 divisible by 3 is int(99/3) = 33

Those divisible by 5: int(99/5) = 19

From the sum of those two, subtract those divisible by 15 = int(99/15) = 6

That gives you 33+19-6 = 46.

Now subtract the 1 digit numbers: 3, 5, 6, 9, or four of them

46 - 4 = 42 is the answer.

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Answer:

The correct answer is -2.

Step-by-step explanation:

it is -2 because if you replaced -2 with a you would have -2 minus 1.5 which is -0.5. -0.5 multiplied by 3 gets you -1.5.

Answer:

Step-by-step explanation:

3(a + 1.5) = -1.5

3a + 3*1.5 = -1.5

3a + 4.5 = -1.5

Subtract 4.5 from both sides

3a + 4.5 - 4.5 = -1.5 - 4.5

3a +0 = - 6.0

3a = - 6

Divide both sides by 3

3a/3 = -6/3

a = -2

Answer: I hope this helps, I also used to have trouble with pythagorean therom

All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.

Step-by-step explanation:

I'm guessing that the therom you need help with is pythagorean therom

a^2+b^2=c^2

  Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.

a = side of right triangle

b = side of right triangle

c = hypotenuse -(longest side of the triangle)

Answer:

(2x³-5x²-24x+63)π

Step-by-step explanation:

According to the formula, it would be (x-3)²(2x+7)π. Expanding (x-3)², you would get (x-3)(x-3) which equals x²-3x-3x+9 which equals x²-6x+9. Now you have (x²-6x+9)(2x+7). Expanding it would equal 2x³+7x²-12x²-42x+18x+63. Combining like terms would result in 2x³-5x²-24x+63. You have to multiply it all by pi so the answer is (2x³-5x²-24x+63)π.

Answer:

-3

Step-by-step explanation:

keep the sign of the number with a higher absolute value and subtract the smaller absolute value from the larger

Answer: choices 1 and 4

Step-by-step explanation:

A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.

Answer:

Step-by-step explanation:

use pythagoras’ theorem

square of hypotenuse = square of adjacent + square of opposite

h^2 = 5^2 + 7^2

h^2 = 25 + 49

h^2 = 74

h = square root of 74

h = 8.6 feet

Answer:

ok, so first of alll the answer is D the square root of 74, and second of all, who builds a sandBOX in the shape of a triangle? like key word BOX rob. Jesus

Step-by-step explanation:

Answer:

a≤39/5

Step-by-step explanation:

Answer:

84.78 in

Step-by-step explanation:

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is  [tex]2*3.14*13.5[/tex] which equals 84.78  

Answer:

C

Step-by-step explanation:

Answer:

the answer is 12

we know what AB and PB are so to get AP we minus AB and PB.

Hope this helped

Step-by-step explanation:

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

Answer:

y^2+3y+9/4

Step-by-step explanation:

y^2+3y+

Take the coefficient of y

3

Divide by 2

3/2

Square it

(3/2)^2 = 9/4

Add it

y^2+3y+9/4

Answer:B

Step-by-step explanation:

c=2nr  or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 inches.

Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a diameter of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is half of the diameter of it.

Radius of the tire = 20 / 2 = 10 inches

Circumference of a circular object = 2πr, r is the radius.

Circumference of the tire = 2π r

                                          = 2 (3.14) (10)

                                          = 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

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Answer:

9/25

Step-by-step explanation:

3/5/5/3

3/5*3/5=9/25

Answer:

=9/25

Step-by-step explanation:

The reciprocal of 3/5 is 5/3, and when you divide it you multiply 3/5 * 3/5. Then you multiply the two and the answer you get is 9/25

The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability:

P(Math/Music') = P(Math∩Musci')/P(Music')

Total number of sample = 22+80+45+38 = 185

Probability of liking math:

P(Math) = (22+80)/185 =0.55

Probability:

P(Music) = (45+80)/185 = 0.68

P(Music') = 1-0.68 = 0.32

Probability of liking math and liking music:

P(Math∩Music) = 80/185 = 0.43

Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37

Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

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Stop and Save is the better buy because its $1.00 for 5 apples so its 20 cents per apple

and

Quick Market is $1.35 for 3 apples so its 45 cents per apple

[tex]1.00 \div 5 = 0.20[/tex]

Stop and Save Better Buy

[tex]1.35 \div 3 = 0.45[/tex]

Quick Market

Answer: [tex]1.2447 * 10^4[/tex]

Step-by-step explanation:

1.2447 × [tex]10^4[/tex]

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.2447 = 4

So, that would get you 1.2447 times 10 to the power of 4.

Answer:

what exactly are we trying to solve for

Answer:

Not enough information.