F(x)=2.37ft*(X)
if x=6
then you multiply the amount of feet per minute which is 2.37 by 6
2.37*6=14.22
so your answer would be 14.22
To get the answer we can use proportion.
30 ------------- 100%
12 --------------x
crossmultiply now
30x=12*100%
30x=1200% /:30 (divide both sides by 30)
x=40% - its the percentage of cars which finished the race.
100%-40%=60% - its the answer
Answer:
They are not similar.
Step-by-step explanation:
The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.
81° + 40° + 60° does not equal 180.
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function

where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form

Factor -1

Complete the square


Rewrite as perfect squares

The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Answer: 3, then 5/8, then, -2.9, and finally -4.
Step-by-step explanation:
3 is the biggest positive integer in value, so that one is automatically first.
5/8 is the second-biggest positive number in value. It isn't a full number, considering it is a fraction, but it is a positive number nonetheless so that makes it larger in value than the last two:
-2.9 is the third-largest integer in value, leaving -4 as the smallest number in this sequence. I know, I know, you're probably like "but 4 is bigger than 2.9." Let me explain the logistics behind this.
When figuring out which number is larger and which is smaller with negative integers, you go by how far they are from 0 on a number line. -2.9 is 2.9 places from zero on a number line. This is called absolute value. Absolute value is defined as "how far a number is on a number line from zero." The absolute value of -4 is 4. (Absolute value is ALWAYS positive). As you can see from this simple observation, -4 is farther from -2.9 on a number line and is therefore less than -2.9. Using the absolute values of negative integers, classifying them from least to greatest or greatest to least is fairly easy. Hopefully this helped. :)