All categories

2 years ago

Find the volume of the given shape. Round your answer to the nearest hundredth if necessary.*

Mathematics

1 answer:

hjlf2 years ago

6 0

Answer:

Step-by-step explanation:

It is a sphere with radius r = 5 cm

volume = (4/3)πr³

= (4/3)π(5³)

≅ 523.60 cm³

You might be interested in

Can someone please tell me if this is correct if it’s not can u tell me what’s the correct answer

bearhunter [10]

Answer:

2. option D and 3. option A

Step-by-step explanation:

2. 7 + y = 30

7 - 7 + y = 30 - 7

y = 23

3. w - 32 = 55

w - 32 + 32 = 55 - 32

w = 87

Basically the answers you choose are right. Hope this helps, thank you :) !!

8 0

2 years ago

Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t

s344n2d4d5 [400]

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

7 0

2 years ago

What is the difference between 27,202-3,489

insens350 [35]

27202 - 3489 you can't do 2-9 so you cross out the 0 next to it and put it into a 10 and then turn your to into a 12 so 12 - 9 is 3 then since you have your 0 turned into 10 you do 10-8 you would you get 2 then you can't do 2-4 so we got the cross out your 7 next to it and turn that into a 6 then change 2 into 12 and then do 12 - 4 equals 8 then since you changed your 7
into a 6 6-3 would you get three and then you do 2-0 because there is no number there and you put down 23823 so 23823 is your answer

7 0

2 years ago

Read 2 more answers

Write the equation in exponential form. Assume that all constants are positive and not equal to 1.

algol13

Answer:

1. $16 = 4^2$

2. $2 = {16}^{\frac{1}{4}}$

3. $log_2 y=z$

Step-by-step explanation:

$1.\ log_2 16=4$

Write in exponential form

Using the law of logarithm which says if

$log_b A=x$

then

$A = b^x$

By comparison;

A = 16; b = 2 and x = 4

The expression $log_2 16=4$ becomes

$16 = 4^2$

$2.\ log_{16} 2=\frac{1}{4}$

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and $x = \frac{1}{4}$

The expression $log_{16} 2=\frac{1}{4}$ becomes

$2 = {16}^{\frac{1}{4}}$

$3.\ 2^z=y$

Write in logarithm form

Using the law of logarithm which says if

$b^x =A$

then

$log_b A=x$

By comparison;

b = 2; x = z and A = y

The expression $2^z=y$ becomes

$log_2 y=z$

3 0

2 years ago

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?

vivado [14]

Hello there!

To find the increasing intervals for this graph just based on the equation, we should find the turning points first.

Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3

Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x

This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.

This means that the interval by which this parabola is increasing is...
(-∞,3/2)

PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.

I really hope this helps!
Best wishes :)

7 0

2 years ago

Read 2 more answers