MATHEMATICS
COLLEGE

Answer: The base of a triangle exceeds the height by 9 feet. If the area is 180 square feet, find the length of the base and the height of the triangle.

MIDDLE SCHOOL

What is 0.94% written as a decimal?

Answer:

0.0094

Step-by-step explanation:

0.94%=0.0094

Answer:

Step-by-step explanation:

the answer is c 0.0094

COLLEGE

Pablo is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Pablo has 67 miles to his destination after 49 minutes of driving, and he has 47.5 miles to his destination after 75 minutes of driving. How many miles will he have to his destination after 85 minutes of driving?

Answer:

40 miles to his destination.

Step-by-step explanation:

If the distance to the destination is a linear function of his driving time then the function f(x) has the form f(x)=mx + b

Now we're going to write two equations with the data that was given to us to find the function for this problem:

Therefore the equation f(x), is f(x) = -0.75x+103.75

To find how many miles he will have after driving 85 minutes:

He will have 40 miles to his destination

MIDDLE SCHOOL

Name the property that the equation illustrates. Explain. –0.3 + 0.3 = 0 A. Identity Property of Addition; 0 is part of the equation. B. Inverse Property of Multiplication; a number and its inverse are multiplied. C. Inverse Property of Addition; a number and its inverse are added.

Answer is choice C) Inverse property of addition; a number and its inverse are added

The number is 0.3 and its additive inverse is -0.3, which add to 0. You can flip things around to say that the number is -0.3 and its additive inverse is 0.3 to add them to the same result of 0. The order of addition doesn't matter. It's like saying 2+3 = 5 and 3+2 = 5

MIDDLE SCHOOL

The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t , where t ≥ 0. What is the maximum population of the species in the region? A. 1,620

B. 1,200

C. 0

D. 720

Answer:

A

Step-by-step explanation:

The function is

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (). Let's check:

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

Answer:

A.1620

Step-by-step explanation:

We are given that

We have to find the maximum population of the species in the region.

We know that

In fraction

Larger the denominator smaller the value of fraction.number.

Substitute t=0

When t increases then the values of decreases

As the denominator decreases the value of given function increases.

The maximum population of the species in the region=1620

A.1620