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dem82 [27]
3 years ago
7

Write each expression as a multiple power of 10

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

ok

Step-by-step explanation:

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A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
4 years ago
Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center
Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0
4 years ago
What is the volume of a box measuring 1mX5mX6m?
Flauer [41]

Hey!

To find volume, you have to multiply the length, width, and height. All you have to do is multiply the 3 numbers together.

1 \times 5 \times 6 = 30

<em>The volume is 30 m³.</em>

Good luck and hope this helps! :)

6 0
3 years ago
Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
devlian [24]

Answer:

19( 42+ 58)

Step-by-step explanation:

19 \cdot 42+19 \cdot 58\\

The common factor is 19

19( 42+ 58)

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!!!!!!!!!!!!!
-Dominant- [34]

Answer: B

Step-by-step explanation:

4 0
3 years ago
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