HELP please!! “Find the volume of the sphere rounded to the nearest hundredth

Mathematics

1 answer:

zvonat [6]3 years ago

5 0

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

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If f(x)=-3x+4 and g(x)=2 solve for the value of x for which f(x) = g(x) is true

antiseptic1488 [7]

Set the equations equal to eachother. Make -3x+4 = 2 and solve. You got this!

5 1

3 years ago

Someone please helppp

mel-nik [20]

Answer:

k = 5/6

Step-by-step explanation:

First, we can make this have the form of a quadratic function, or ax²+bx+c=0. To do this, we can first subtract 10x from both sides to get

(2k+1)x²-8x=-6

Next, we can add 6 to both sides, resulting in

(2k+1)x²-8x+6 = 0

For a quadratic function of form ax²+bx+c=0, we can see that a=2k+1, b=-8, and c=6. We can then apply the quadratic equation, or

x= (-b ± √(b²-4ac))/(2a) to get our roots to be

x= (8 ± √(64-4(6)(2k+1)))/(2*(2k+1))

= (8 ± √(64-(48k+24)))/(4k+2)

= (8 ± √(40-48k))/(4k+2)

For the roots to be equal, we must have the two roots equal to each other. We can write this as

(8 + √(40-48k))/(4k+2) = (8 - √(40-48k))/(4k+2)

multiply both sides by (4k+2) to remove the denominator

8+√(40-48k) = 8 - √(40-48k)

subtract 8 from both sides to isolate the square roots

√(40-48k) = - √(40-48k)

The only number that is equal to its negative self (and is real) is 0. Therefore, √(40-48k) = - √(40-48k) = 0, so we have

√(40-48k) = 0

square both sides to remove the square root

40-48k = 0

add 48k to both sides to isolate the k and its coefficient

40 = 48k

divide both sides by 48 to isolate k

k = 40/48 = 5/6

7 0

3 years ago

50 POINTS!!!!! HELPFor the exponential function f(x)=a^x,a>0,a≠1 what is the domain? what is the range?

White raven [17]

I have included a graph to help you see what the domain and range would be
There are no minus y values.
0<y< infinity y is included in the reals.
The domain is
- infinity < x < infinity.

I don't want to say that either x or y can equal - or + infinity. Some teachers allow it. You have to ask your instructor what they will accept.

The blue line is y = 4^x
The red line is y = 2^x