A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.

Using the function concept, it is found that the missing point was of (0,3), hence option A is correct.

In the given graph, values are already defined for x = 1, x = 2 and x = 3, while no value is defined for x = 0. Hence, the missing point was of (0,3), and option A is correct.

More can be learned about the function concept at https://brainly.com/question/12463448

Answer:

h=366

Step-by-step explanation:

A polynomial of degree 4 will have 4 zeros. The zero of 3 with a multiplicity of 2 counts as two of these zeros. You've also been given a zero of -i. So it seems that we only have 3 of the 4 zeros. We need all 4 to be able to form the desired polynomial.

You didn't mention that the polynomial should have real coefficients. But I'm going to assume it because otherwise we can't solve the problem. If a polynomial with real coefficients has a complex zero, then the complex conjugate of that complex zero will also be a zero. This is how we will find the 4th zero.

A complex number in standard form is a + bi. Its complex conjugate is a + (-bi) or a - bi. The complex zero we were given is -i. In standard form this would be 0 + (-i). The complex conjugate of 0 + (-i) would be 0 - (-i) or 0 + i or just i.

So the four zeros of the desired polynomial are 3 (twice), -i and i. If a number "z" is a zero of a polynomial then (x - z) is a factor of that polynomial. Using this fact and the four zeros we can write a factored form of our desired polynomial:

f%28x%29+=+a%28x-3%29%28x-3%29%28x-%28-i%29%29%28x-i%29

Simplifying the 3rd factor we get:

f%28x%29+=+a%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29

where the "a" is any non-zero number. Since there are an infinite number of non-zero numbers, there will be an infinite number of possible correct solutions to this problem. To make things easy we will choose to make "a" be 1. This makes our factored polynomial:

f%28x%29+=+%28x-3%29%28x-3%29%28x%2Bi%29%28x-i%29

All we have to do now is multiply this out. We can simplify this process if we take advantage of some factoring patterns. The first two factors can be multiplied using:

%28a-b%29%5E2+=+a%5E2-2ab%2Bb%5E2

And the last two factors can be multiplied using:

%28a%2Bb%29%28a-b%29+=+a%5E2-b%5E2

With these patterns we get:

f%28x%29+=+%28%28x%29%5E2-2%28x%29%283%29%2B%283%29%5E2%29%28%28x%29%5E2-%28i%29%5E2%29

Simplifying inside each factor we get:

f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-i%5E2%29

And since i%5E2+=+-1 this becomes:

f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2-%28-1%29%29

or

f%28x%29+=+%28x%5E2-6x%2B9%29%28x%5E2%2B1%29

We have one more multiplication. There are no shortcuts for this one. We have to multiply each term of one factor times each term of the other and then add like terms, if any:

f%28x%29+=+x%5E2%2Ax%5E2%2Bx%5E2%2A1%2B%28-6x%29%2Ax%5E2%2B%28-6x%29%2A1%2B9%2Ax%5E2%2B9%2A1

Simplifying...

f%28x%29+=+x%5E4%2Bx%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9x%5E2%2B9

f%28x%29+=+x%5E4%2B10x%5E2%2B%28-6x%5E3%29%2B%28-6x%29%2B9

Re-ordering into standard form:

f%28x%29+=+x%5E4%2B%28-6x%5E3%29%2B10x%5E2%2B%28-6x%29%2B9

This is a polynomial function of degree 4 with the given zeros.

P.S. As mentioned earlier, this is not the only possible correct answer. This is the answer when you make "a" equal to 1. Other values for "a" give us different polynomial functions which also have the same zeros. For example, if we had chosen a = 2 we would have gotten f%28x%29+=+2x%5E4%2B%28-12x%5E3%29%2B20x%5E2%2B%28-12x%29%2B18.

Answer:

19.1

Step-by-step explanation:

Answer:

circumference = 2*3.14*r

6.28r=120m

r= 19.1

Answer:

15

Step-by-step explanation:

[tex]using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2} = x {}^{2} + 20 {}^{2} \\ 625 = x {}^{2} + 400 \\ x {}^{2} = 625 - 400 \\ x {}^{2} { = 225} \\ x = \sqrt{225} \\ x = 15 \\ lenght \: of \: the \: third \: side = 15[/tex]

Answer:

Half

Step-by-step explanation:

[tex]\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12[/tex]

Answer:

between 18 and 19

Step-by-step explanation:

150/8= 18.75

Answer:

11

subtract 3

Step-by-step explanation:

The numbers are getting lower in value as you go,

So that means it is a subtracting sequence,

Take the first two numbers and subtract them,

23 - 20 = 3

So now subtract 3 from the others and see if it works,

20 - 3 = 17

17 - 3 = 14

14 - 3 = 11

11 is the missing number

Yep, it works,

Hence the sequence is to subtract three.

Answer:

x = 2

Step-by-step explanation:

Given :

Add 4 on each side

Subtract 3x from each side

Divide 2 from each side

Answer:

5. angle A=40

6. angle C= 80

7. angle C= 110

Step-by-step explanation:

In all three questions, it says angle B= angle A+ angle C

So for each when it gives you angle B and one of the others, you just subtract either angle A or angle C from the total angle (B) to find the other. For example, for question 5, it asks for angle A saying that B is a right angle and c equals 50. Well, a right angle is 90 degrees. So to find angle A, you do 90-50.

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

the answer is D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The height of the parallelogram for A is 3 units while the length the base is 6 units.

For D it follows this same pattern, the height is 1 which is half of the length of the base, 2.

B also follows this pattern, the height is 2 which is half of the length of the base, 4

C does not follow this pattern and is the odd one out.

Answer:

x = 8

Step-by-step explanation:

2(13x + 12) = 70 + 20x + 2

26x + 24 = 72 + 20x

-20x                 -20x

6x + 24 = 72

      -24    -24

6x = 48

÷6   ÷6

x = 8

Answer:

Corresponding

Step-by-step explanation:

Matching angles of two congruent figures are called corresponding angles. The angles that are in the same position will have the same measurement.

Answer:

2nd one is correct.....

Answer:

720

Step-by-step explanation:

If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.

The volume of the given pyramid comes to be 64 cubic inches.

Length of the square base a= 8 inches

Slant height l =5 inches

The volume of a pyramid is with base area A and height h is 1/3Ah.

So, base area A= 8*8 =64 square inches.

From Pythagoras theorem

[tex]l^{2} =(\frac{a}{2})^2 +h^{2}[/tex]

[tex]5^{2} =(\frac{8}{2})^2+h^{2}[/tex]

[tex]h=3[/tex] inches

So, volume of the pyramid = 1/3*A*h

=1/3*64*3

=64 cubic inches.

Hence, the volume of the given pyramid comes to be 64 cubic inches.

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Answer:

5, 4, 3, & 64

Step-by-step explanation:

i did it

Answer:

64

Step-by-step explanation:
1. Plug it in:

(2(-4))^2

2 times -4 is -8

(-8)^2 = 64

So there’s your answer

Answer:

4 (cooked)

Step-by-step explanation:

2 / 1/2 = 4

Answer:

Since its on a workbook, I think what your supposed to do for the shapes is measure the given side, say the line for the first question for a square was 2 inches, then you would have to put the rest of the sides 2 inches as well, paying attention to the angle measures.

each angle is 90° in a square, 120° for a hexagon, and the rest should hopefully be do-able.

Answer:

5.11) Radius ~~- D

5.12) 5 Hours 23 Mins ~~- C

Step-by-step explanation:

Hope this helps

Answer:

11) D. 10) C.

Step-by-step explanation:

Answer:

-1=x    

Step-by-step explanation:

2-11x=4x+17                   Given

2(+11x)-11x=4x+(11x)+17  Subtract 11x from both sides

2=15x+17                       Simplify

2 (-17)=15x (-17) +17       Subtract 17 from both sides

-15=15x                          Simplify

-15/15=15x/15                Divide both sides by 15 (isolate x)

-1=x                                Simplify  

x=-1

Step-by-step explanation:

Answer: Mr. Silberman has to pay $150 more than Ms. Washington.

Step-by-step explanation: First calculate how much tax Mr. Silberman will have to pay off after 9 months. 50x9=450, so $450 is how much tax he will have to pay. Add that to 1,500, which is the total cost of the computer, which equals $1,950.

Ms. Washington only has to pay $1,800. Mr. Silberman has to pay $1,950. So Mr.  Silberman has to pay more. He has to pay $150 more than Ms. Washington.

Answer:

so what is the question ??

I think D at (2,1) will do

hope it helps...!!!

Step-by-step explanation:

I think D at (2,1)

hope it will help

Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount which will credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we can see, the Manny is spending amount of $368 and the other expenses are not flexible means to all other expenses are fixed expenses.

According to the data, Manny should spend less on food and clothes and put the money towards his credit card payment.

We know the expression for the monthly payment is given by:

[tex]\rm M = P \frac{r}{(1-(1+r)^{-nt})}[/tex]

Where P is the principal amount

r is the interest rate.

M is the monthly payment

t is the time

n is the number of times the amount compounded.

Thus, Manny could spend less on food and clothes and put the money towards his credit card payment, as she is spending $368 on foods and clothing.

Learn more about the debt here:

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Answer:

a = 3 , b = 8 , c = 4

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0

3x² + 8x + 4 = 0 ← is in standard form

with a = 3, b = 8, c = 4