Find the value of expression:15/3+(7-3)^2

Which value of x makes the numerical sentence true? 25^ 1/2 × 5 ^–3 = 5 ^x

Elenna [48]

5^-3=0.008
1/2=0.5
0.5*0.008=0.004
5/0.004=1250

5 0

4 years ago

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Reduce 1.256 g to micrograms, to milligrams, and to kilograms.

ch4aika [34]

Answer:

1.256g = 1,256,000 micrograms

1.256g = 1256mg

1.256g = 0,001256kg

Step-by-step explanation:

This is a conversion of units problem, that can be solved by rules of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 1.256g to micrograms

Each g has 1,000,000 ug. So:

1g - 1,000,000 ug

1.256g - xug

x = 1,000,000*1.256

x = 1,256,000 micrograms

Second step: 1.256g to mg

Each g has 1,000 mg. So:

1g - 1,000mg

1.256g - xmg

x = 1,000*1.256

x = 1256mg

Final step: 1.256g to kg

Each kg has 1,000g. So:

1kg - 1,000g

xkg - 1.256g

1,000x = 1.256

$x = \frac{1.256}{1,000}$

x = 0,001256kg

5 0

3 years ago

How do you find the circumference of a circle??

Phoenix [80]

Answer:

how do you find the circumference of a circle??

C=2πr

4 0

3 years ago

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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:

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