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3 years ago

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Find the volume of a sphere with a diameter of 25 cm. Approximate pi as 3.14 and round your answer to the nearest hundredth.

1 answer:

Sholpan [36]3 years ago

7 0

Answer: The volume of the sphere is 8177.08

Step-by-step explanation:

v= 4/3nr^3

v= 4/3*3.14*1953.125

v= 8177.08

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

3 years ago

What is 2+6*5/8 ? I need help with this math problem , thank you.

vampirchik [111]

Hey.

I hope that you're familiar with P.E.M.D.A.S :)

applying PEMDAS :

2 + 6 × 5 ÷ 8

2 + 30 ÷ 8

32 ÷ 8 = 4

Hence, The required answer is 4

Thanks.

8 0

3 years ago

Read 2 more answers

If f and t are both even functions, is the product ft even? If f and t are both odd functions, is ft odd? What if f is even and

Natali5045456 [20]

Answer:

(a) If f and t are both even functions, product ft is even.

(b) If f and t are both odd functions, product ft is even.

(c) If f is even and t is odd, product ft is odd.

Step-by-step explanation:

Even function: A function g(x) is called an even function if

$g(-x)=g(x)$

Odd function: A function g(x) is called an odd function if

$g(-x)=-g(x)$

(a)

Let f and t are both even functions, then

$f(-x)=f(x)$

$t(-x)=t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=f(x)t(x)$

$ft(-x)=ft(x)$

The function ft is even function.

(b)

Let f and t are both odd functions, then

$f(-x)=-f(x)$

$t(-x)=-t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=[-f(x)][-t(x)]$

$ft(-x)=ft(x)$

The function ft is even function.

(c)

Let f is even and t odd function, then

$f(-x)=f(x)$

$t(-x)=-t(x)$

The product of both functions is

$ft(x)=f(x)t(x)$

$ft(-x)=f(-x)t(-x)$

$ft(-x)=[f(x)][-t(x)]$

$ft(-x)=-ft(x)$

The function ft is odd function.

7 0

3 years ago

Students are comparing their heights jose is 4 1/6 feet tall lee is 4 1/4 feet tall judi is 4 1/12 feet tall and sammy is 4 2/3

klemol [59]

Sammy is the tallest one because he is 4.667 feet tall

6 0

3 years ago

Read 2 more answers

What is 600 divided by 7

mafiozo [28]

Answer: It is exactly 85.7142857143

But if you would like it rounded: 85.7

I would go with the second answer.

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4 0

3 years ago