Can someone help me please

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

Answer:

its the 1st answer choice/A

Step-by-step explanation:

there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30

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Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=30t-\frac{g_s}{2} t^2$

Velocity is defined as the rate of change of position. Therefore,

$v(t)=\frac{d}{dt}(s(t))$

So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

5 0

4 years ago

Which of the following is not a theorem taught from this lesson?

MariettaO [177]

Answer:

The altitude to the base of an isosceles triangle bisects the vertex angle of the triangle.

Step-by-step explanation:

7 0

2 years ago

Find the value of x

AURORKA [14]

Hello Alondra,

To solve this problem, you have to write a proportion using the ratios formed by the similar triangles.

Or proportion can be:
x/(x+2) = 10/15

Cross multiply to solve it:
10x + 20 = 15x
20 = 5x
4 = x

The value of x is 4.

I hope this helps,
MrEQ

6 0

3 years ago

Simplity (4^-2)^5 A.1/4^10 B. 4^3 C.1/4^3 D. 4^10

Goshia [24]

Answer:

$(4^{-2})^5=\dfrac{1}{4^{10}}$