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3 years ago

Log_4 (8) = 3/2 in exponential form

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

Answer:

4^ (3/2) =8

Step-by-step explanation:

Log_4 (8) = 3/2

We know that

log a (b) =c becomes a^c =b

Log_4 (8) = 3/2 becomes 4^ (3/2) =8

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Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 109 feet, and ball 2 is droppe

Natalija [7]

Answer: 5.22 seconds

<u>Step-by-step explanation:</u>

t represents time and y represents the height.

Since we want to know when the ball hits the ground, find t when y = 0

Ball 1 starts at a height of 109 --> h = 109

0 = -16t² + 109

16t² = 109

$t^2=\dfrac{109}{16}\\$

$t=\sqrt{\dfrac{109}{16}}$

$t=\dfrac{\sqrt{109}}{2}$

t = 5.22

4 0

3 years ago

Read 2 more answers

This math is so hard. Please help!

lord [1]

Answer:

f(x)= -(x+1)^2 -2

Step-by-step explanation:

f(x)=(x-h)^2 +k; (h,k)

Then you would substitute the x and y of the coordinate and solve.

-6= -(1+1)^2 -2

-6= -(4) -2

-6 = -6

3 0

2 years ago

Write the equation of each line in intercept form <br> slope = 1/2 goes through (2,6)

sergij07 [2.7K]

Step-by-step explanation:

y- 6 = 1/2 (x-2)

y -6 = 1/2x - 1

y = 1/2x + 5

5 0

3 years ago

An astronaut drops a rock into a crater of the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

ASHA 777 [7]

The average rate of change of the position of an object with respect to time is the average speed of the object, so to find the average speed of the rock over the interval [5,10], we are going to use the average rate of change formula: $V(t)= \frac{d(b)-d(a)}{b-a}$
where
$V(t)$ is the average rate of change (the speed)
$d(a)$ is the position function evaluated at $a$
$d(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We know for our problem that the first point in the interval is 5 and the second point is 10, so $a=5$ and $b=10$ . Lets replace those values in our formula:
$V(t)= \frac{d(b)-d(a)}{b-a}$
$V(t)= \frac{d(10)-d(5)}{10-5}$
$V(t)= \frac{0.8(10^2)-0.8(5^2)}{10-5}$
$V(t)= \frac{80-20}{5}$
$V(t)= \frac{60}{5}$
$V(t)=12$

We can conclude that the speed of the rock between 5 and 10 seconds is 12 meters per second.

4 0

3 years ago

Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The

Burka [1]

Answer:

2,624 cm²

Step-by-step explanation:

3 0

2 years ago