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3 years ago

Use the power rules for exponents to simplify the expression. (Type as a fraction, use exponential form)

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer: $\bold{\dfrac{h^9}{g^9}}$

Step-by-step explanation:

The power rule is "multiply the exponents".

You must understand that the exponent of both h and g is 1.

Multiply 1 times 9 for both variables.

$\bigg(\dfrac{h}{g}\bigg)^9=\bigg(\dfrac{h^1}{g^1}\bigg)^9=\dfrac{h^{1\times 9}}{g^{1\times 9}}=\large\boxed{\dfrac{h^9}{g^9}}$

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23) A ball is launched into the air. The function h=-16 +126 gives the height of the

Paul [167]

The equation is missing 't' terms. The correct equation is:

$h=-16t^2+126t$

Answer:

(a) 248.06 ft

(b) 7.875 s

Step-by-step explanation:

Given:

Height of ball in air above ground is given as:

$h=-16t^2+126t$

(a)

At maximum height, the speed of the ball is 0 momentarily. Speed is nothing but rate of change of height which is the first derivative of height with time. Therefore,

At maximum height:

Speed = 0

$h'=0\\-16(2t)+126=0\\-32t+126=0\\32t=126\\t=\frac{126}{32}=3.9375\ s$

Now, maximum height is obtained by plugging in $t=3.9375$ . Thus,

$h_{max}=-16(3.9375)^2+126(3.9375)\\h_{max}=-248.0625+496.125=248.0625\ ft$

Therefore, the maximum height of the ball is 248.06 ft. (Rounded to nearest hundredth)

(b)

Now, total time of travel of the ball is the sum of time taken to reach maximum height and the time taken from maximum height to the bottom.

Also, time taken for upward journey would be same as that of downward journey. Therefore, total time taken is twice that of the upward journey.

We have,

Time to reach maximum height, $t = 3.9375\ s$

Therefore, total time the ball was in air = $2(t)=2\times 3.9375=7.875\ s$

Hence, the ball was in the air for 7.88 s. (Rounded to nearest hundredth)

3 0

3 years ago

I GIVE BRAINIEST Someone pls help me with number 3 and 4 But step by step pls

shepuryov [24]

Answer:

The video is blocked for me

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Pls help. No files pls. Will give brainliest.

nordsb [41]

To find f(-20), first figure out which piece x = -20 fits with.

Since -20 < -12, x = -20 first in the domain used by the third piece.

For f(-20), treat this function as if it was just f(x) = 3x-7.

f(-20) = 3(-20) -7

= -60 - 7

= -67

6 0

3 years ago

Which point would be a solution to the system of linear inequalities shown below?

Ede4ka [16]

The question has errors.

6 0

3 years ago

22% of what number is 33?

ivolga24 [154]

The correct answer would be 150 ^-^

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3 years ago