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Lana71 [14]
4 years ago
9

Please help ASAP THANKS x

Mathematics
1 answer:
Trava [24]4 years ago
8 0
The formula of the volume of the sphere:
V=\dfrac{4}{3}\pi r^3
We have a diameter. It's equal double radius.
Therefore
2r=9\dfrac{1}{2}\\\\2r=9.5\ \ \ |:2\\\\r=4.75\ in.

V=\dfrac{4}{3}\pi\cdot(4.75)^3\approx449\ in^3.
Answer: D. 449 cubic inches.


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which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=
svetoff [14.1K]

For this case we have a direct variation of the form:

y = kx ^ 2

Where,

  • <em>k: proportionality constant </em>

We must find the value of k.

For this, we use the following data:

y = 36\\x = 3

Therefore, replacing values we have:

36 = k (3) ^ 2

Rewriting:

36 = 9k

Clearing the value of k we have:

k = \frac {36} {9}\\k = 4

Therefore, the direct variation equation is given by:

y = 4x ^ 2

Answer:

The quadratic variation equation for the relatonship is:

y = 4x ^ 2

8 0
3 years ago
PLEASE HELP!!!!!! The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
nataly862011 [7]
y= ax^{2} -8x-3

1.

the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.

the point x=2 is the midpoint of the roots x_1 and x_2. 

so 
\frac{x_1+x_2}{2}=2&#10;
x_1+x_2=4

Remark: in the x-axis, if c is the midpoint of a and b, then c= \frac{a+b}{2}


2.
since x_1 and x_2 are roots 

a(x_1)^{2} -8(x_1)-3=0 and a(x_2)^{2} -8(x_2)-3=0

3.
equalizing:

a(x_1)^{2} -8(x_1)-3=a(x_2)^{2} -8(x_2)-3

a(x_1)^{2} -8(x_1)=a(x_2)^{2} -8(x_2)

a(x_1)^{2}-a(x_2)^{2} =8(x_1) -8(x_2)

in the left side factorize a, in the left side factorize 8:

a[(x_1)^{2}-(x_2)^{2}] =8(x_1 -x_2)

in the right side use the difference of squares formula:

a(x_1 -x_2)(x_1 +x_2) =8(x_1 -x_2)

simplify by (x_1 -x_2)

a(x_1 +x_2) =8

substitute (x_1 +x_2) with 4:

a*4 =8

a=2


Answer: C)2

5 0
4 years ago
Stephen went to Game Stop to buy a new Xbox hat is $499 with 15% off. He has a coupon for an
SashulF [63]

Answer:

c. $399.20

Step-by-step explanation:

multiply 499 by .20 and get 99.8 subtract this from 499 get 399.20

3 0
3 years ago
All factor pairs for 13​
kvv77 [185]

Answer: 1, 13

Step-by-step explanation:

1, 13 because 13 is a prime number. And prime numbers don't have factors.

Hope this helps :)

3 0
3 years ago
Write an equation that represents the line. Use exact numbers. (graph shown in picture)
garik1379 [7]

Answer:

6/5x - 5

Step-by-step explanation:

-5 - 1 = -6

0-5= -5

-6/-5= 6/5

the y intercept is on the picture.

3 0
3 years ago
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