Simplify 1+3^2⋅2−5 -48 14 15 27

Find the volume for a can of corn with a diameter of 3 inches and a height of 6 inches

mixas84 [53]

The answer is D (42.39 cubic inches)

4 0

3 years ago

HELP ME PLEASE

solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

$P(t)=A(r)^t$

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

$\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}$

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}$

Solve for A. Simplify:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^3$

Simplify:

$\displaystyle 2=A\Big(\frac{1}{8}\Big)$

Thus, the initial mass of the sample was:

$A=16\text{ mg}$

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

$\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}$

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0

3 years ago

What is the ratio a:b if 8a=3b?

Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

$8a=3b$

Dividing both sides by 8

$\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}$

Dividing both sides by b

$\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}$

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

#LearnwithBrainly

5 0

3 years ago

You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?

nikdorinn [45]

Answer:

7/7

Step-by-step explanation:

Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)

5 0

3 years ago

I hope I’m correct but correct me if I’m wrong is this complementary?

Nesterboy [21]

Answer:

Linear Pair

Step-by-step explanation:

The kind of angle formed by a and b when put together is a straight angle.

A straight angle means that a+b=180 degrees.

a and b are supplementary.

They are also a linear pair since they are already put together. Meaning, they share a common vertex and a common side while forming a straight angle together.

They aren't complementary because the angles exceed 90 degrees when added together. Complementary angles should add up to 90 degrees exactly.

They aren't vertical angles because they don't happen across from each other in two intersecting lines. (Note: Vertical angles are also congruent.)

They aren't alternate interior because they don't even happen at two different intersections. So we would definitely not go to to that, alternate exterior, same side interior, same exterior, or corresponding angles. Because all of these require the angles to happen at two different intersections.

5 0

3 years ago