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3 years ago

How much larger is 6 times 10 to the 5th power compared to 2 times 10 to the 3rd power

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer:

Either 10 times or 598,000.

Step-by-step explanation:

6 x 10 ^ 5 = 600,000

2 x 10 ^ 3 = 2,000

If we are figuring out the exact number, 600,000 - 2,000. If we are finding out how many powers larger, count.

600,000 - 2,000 = 598,000

600,000 is 10 times larger than 2,000.

See?

600,000

2,000

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If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi

Finger [1]

ANSWER:

If a ball is thrown into the air with a velocity of 34 feet per second, then velocity of the ball after 1 second is 2 feet per second

SOLUTION:

Given, a ball is thrown into the air with a velocity of 34 feet per second

Initial velocity (u) = 34 feet per second

And also given a relation between displacement and time = $\mathrm{y}=34 \mathrm{t}-16 \mathrm{t}^{2}$ --- eqn 1

We need to find the velocity when t = 1 ; v = ?

We know that, v = u + at and $\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}$

where v is instantaneous velocity and u is initial velocity

a is acceleration

t is time interval

s is displacement

using the displacement and time relation eqn (1) we get

Now, when t = 1, displacement s = 34(1) – 16(1)

$\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}=34-16$

$34 \times 1+\frac{1}{2} \times a \times 1^{2}=18$

$34+\frac{a}{2}=18$

$\begin{array}{l}{\frac{a}{2}=18-34} \\\\ {\frac{a}{2}=-16} \\ {a=-16 \times 2} \\ {a=-32}\end{array}$

here, -ve sign indicates that object is in deceleration . so acceleration is -32 ft/s

now put a value in v = u + at

v = 34 + (-32)(1)

v = 34 – 32

v = 2 ft/s

Hence, velocity of the ball after 1 second is 2 ft/s

6 0

3 years ago

Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.

UkoKoshka [18]

Solution

f(x) = -20 $x^{2}$ +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = $\frac{f(x)}{g(y)}$

(f/g)(x) = $\frac{-20x^{2}+14x +12 }{5x - 6}$

Step 1: Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6

f(x) = -2(2x + 1) (5x - 6)

Step 2: Plug in the factors

(f/g)(x) = $\frac{-2 (2x +1)(5x - 6)}{(5x - 6)}$

Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0

3 years ago

Find what w equals 4(3w+5)−2w=70

Luba_88 [7]

4(3w+5)-2w=70
10w+20=70
10w+20-20=70-20
10w=50
10w/10=50/10
w=5

8 0

3 years ago

Read 2 more answers

Counting the number of times a third-grade student leaves his seat without permission during a 30-minute observation period is a

notka56 [123]

Answer:

Behavioral modality of measurement

Step-by-step explanation:

Observing a 3rd grade student for 30 minutes as to how many time he leaves his seat without permission is a clear example of using behavioral modality of measurement.

In this modality of measurement the behavior of the object or system is observed when it is put into action.

This example shows as to what will happen or what is supposed to take place when a 3rd grade student is is seated and observed for 30 minutes. It counts as to how many times he leaves his seat in reaction to his stimulus from the environment.

6 0

3 years ago

Write a proportion for the following word problem.

Rashid [163]

<12> starting number <75%> next number your new hourly rate would be higher also know as 75% more meaning the answer to how much more i would get is <12> + <75> = <87>

6 0

3 years ago