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3 years ago

What is the value of 5.7 × 108?

1 answer:

3 0

The value of 5.7 x 10⁸ is 570,000,000 CHOICE C.

The value of 8⁴ is 8 * 8 * 8 * 8 = 4,096 CHOICE C.

Prime factorization of 1,260

1260 ÷ 2 = 630
630 ÷ 2 = 315
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7

2 x 2 x 3 x 3 x 5 x 7 CHOICE D.

Composite numbers are numbers that have more factors other than 1 and itself.

91 / 1 = 91
91 / 7 = 13 CHOICE C. 91 is a composite number.

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Rasek [7]

I really don’t know sorry bro

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3 years ago

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Three irrational numbers are given below. Select the option that correctly plots the approximate value of each me on live where

Murljashka [212]

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3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

3 years ago

A motorcycle is traveling at a constant speed of 45 miles per hour. how many feet does it travel in 6 seconds? remember that 1 m

Fantom [35]

Answer:

The total number of feet travelled by the motorcycle is 396 feet

Step-by-step explanation:

Using the constant speed relationship with the distance:

v = s/t

From the above equation the distance travelled will be:

s = v * t (i)

We are given with the v, that is:

v = 45 miles per hour

Converting in to feet per second.

v = (45 * 5280)/3600 feet / s

v = 66 feet per second

Now, put that v and t in equation (i)

s = 66 * 6

s = 396 feet

5 0

2 years ago

Here is my question please answer and give a good explanation: Which expression cannot be used to calculate the total amount pai

Ierofanga [76]

I'm pretty sure the answer is D. because I don't think anyone would want to take their total meal cost and then multiply it by their tip to make it even larger. You would just add the tip to the meal cost.

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3 years ago