What is 42cm per second converted to meters per min

HELPPPP!!!! Need the answer ASAP!!

Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

We need to determine the value of the function $(g \ {\circ} f)(-3)$

First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

$(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

$(g \circ f)(-3)=-27+12(9)+48(-3)+64$

$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

Thus, the value of the function $(g \ {\circ} f)(-3)$ is 1.

8 0

3 years ago

Solve x+4 ≤ 19 type answer in comments below and post them please.

RoseWind [281]

Answer:

$x \leqslant 15$

Step-by-step explanation:

To find the answer we have to first group the like terms:

$x + 4 \leqslant 19 \:$

therefore

$x \leqslant 19 - 4$

so

$x \leqslant 15$

4 0

2 years ago

Triangles ABC and DEF are similar. Find the missing angles.

Ratling [72]

Angle A and D are similar
Angle B and E are similar
Angle C and F are similar

So this means they have congruent angles, meaning whichever angles are similar the angles will also be similar.

So since angle A is 62 degrees, angle D is 62 degrees too.

Since angle E is 80 degrees, angle B has to be 80 degrees as well.

All triangles add up to 180 degrees, so to find the angle measure of angle C and F, do:

180-(62+80)
180-142
= 38 degrees

So angles C and F are 38 degrees

Conclusion:
angles A and D: 62 degrees
angles B and E: 80 degrees
angles C and F: 38 degrees

4 0

3 years ago

Jasmine is a receptionist at a doctor's office she books 86 appointments each day four out of every 24 appointments are canceled

bonufazy [111]

Answer:

3.07

Step-by-step explanation:

(86.0/(4.0+24.0))

5 0

3 years ago

35 is 70% of what number?

vova2212 [387]

The equation is 70     35
                          ----- = ------
                          100      x
To solve, multiply diagonally
You should get 70x = 3500
Then to get x alone, divide each side by 70
Your answer should be 50

5 0

4 years ago

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