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3 years ago

Rachel is a stunt driver, and she's escaping from a building that is about to explode!

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have, The expression that represents the Rachel's distance is given by, d = - 38t + 220

where, d represents the distance in meters

t represents the time in seconds

We know that, speed = distance by time. Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

we have, d/dt (d) = d/dt [- 38t + 220]

| d/dt (d) | = | - 38 + 0 |

s = d/dt (d) = 38 m/s

Therefore, the speed of Rachel is 38 m/s.

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Which expression is a sum of cubes?

erik [133]

we know that

A polynomial in the form $a^{3} +b^{3}$ is called a sum of cubes

Let's verify each case to determine the solution

case A) $-64x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-64=-4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case A) is not a sum of cubes

case B) $-32x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-32=-2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case B) is not a sum of cubes

case C) $32x^{6} y^{12} +125x^{9} y^{3}$

we know that

$32=2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

therefore

the case C) is not a sum of cubes

case A) $64x^{6} y^{12} +125x^{9} y^{3}$

we know that

$64=4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

Substitute

$4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}$

$(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}$

therefore

the answer is

$64x^{6} y^{12} +125x^{9} y^{3}$ is a sum of cubes

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3 years ago

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23,24 and 25 please! Thank you!!

Brut [27]

Answer:

it is too hard, You can caculator with each part.

example:

23, atrigle

24, cricle

25 atrigle

Step-by-step explanation:

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3 years ago

Solve for x: x2-14x+49

Bezzdna [24]

Answer:

x2 − 14x + 49 = 0

Step-by-step explanation:

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3 years ago

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Vanyuwa [196]

Answer:

C. Four less than seven times quantity of a number plus twelve.

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kati45 [8]

In the given question it is important to take note of every minute details that are given in the question. using these details the answer to the given question can be easily reached.
Let us assume the common ratio to be x.
Then
x + 9x = 81
10x = 81
x = 81/10
= 8.1
A s we already know that the ratio of chaperones to students is 1:9
Then
The number of chaperones = 1 * 8.1
= 8.1
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3 years ago