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Allushta [10]
2 years ago
11

(16x^3)^3/4 Express in simplest radical form.

Mathematics
1 answer:
ruslelena [56]2 years ago
4 0

Answer:

8 x 3/4. Simplify using exponent rule with same exponent abn=an . bn:16 3/4 * x 3/4 Express as a product of p

Step-by-step explanation:

...

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
2 years ago
Good science requires that you record your observations accurately.<br><br><br><br> TrueFalse
enyata [817]

Answer:

True.

Step-by-step explanation:

6 0
2 years ago
What is the volume of this?
yawa3891 [41]
Hello there.

Answer: Split the shape into two
Calculate both shapes separately
10 x 10 x 10 = 1000
20 x 20 x 20 = 8000.
Add together both values:
8000 + 1000 = 9000in³

Hope Thus Helps You!
Good Luck Studying ^-^
4 0
3 years ago
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Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
aivan3 [116]
The equation is:
f ( t )=
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Wich shapes can the the shaded area be divided into to find the area
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Answer:

A. a rectangle and a triangle

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