A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(r) relates the area of the cardboard piece, in square inches, to the radius r in inches. Which of the following shows a reasonable domain for f(r)?7 < r < 14

154 < r < 616

all positive integers less than 7

all positive integers between 14 and 154

Answers

Answer 1

Answer: The area of the circle by definition is given by:
$f (r) = \pi * r ^ 2$
For f (r) = 154:
$154 = \pi * r ^ 2$
Clearing r we have:
$r ^ 2 = 154 / 3.14 r = √(154/3.14) r = 7$
For f (r) = 616:
$616 = \pi * r ^ 2$
Clearing r we have:
$r ^ 2 = 616 / 3.14 r = √(616/3.14) r = 14$
Answer:
a reasonable domain for f (r) is:
7 <r <14

Answer 2

Answer:

7 < r < 14

Step-by-step explanation:

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Whats the answer to 55y2 − 33x2 + 12x2?

Answers

$55y2 - 33x2 + 12x2 = \n \n52y2 - 66 + 24 = \n \n\boxed{52y2 - 42} \n \n$

Answer:

52y2 - 42

Step-by-step explanation:

GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 3 x − 1, determine the slope of the line.

Answers

Answer:

The general equation for a linear equation is

y is the y-coordinate

x is the x-coordinate

m is the gradient of the slope

c is where is passes through the y axis

So if you breakdown this equation () you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.

positive 2/3

Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'

Step-by-step explanation:

The general equation for a linear equation is $y=mx+c$

y is the y-coordinate
x is the x-coordinate
m is the gradient of the slope
c is where is passes through the y axis

So if you breakdown this equation ( $y=(2)/(3) x-1$ ) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.

Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'

It would be nice if I get some help with these 2 thingsThing 1.
A. EXPLAIN how to set up a proportion and then

B. solve the problem below.

A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons of milk must the chef add?

thing 2.
solve the proportion 24/36 = 8/y

Answers

Thing 1
A. You can set up a proportion by dividing how much of something there is by the original. (This probably doesn't make much sense but I hope you can understand it from the answer to the problem below!)
B.First, do 168/21 to see how many more times he put flour in.
168/21= 8
Then to find out the milk in the same proportion do the number (in this case 8) times the original of the thing you wan to find out.
8x9=72
72 tablespoons of milk are needed for 168 cups of flour in this adapted recipe.

Thing 2
24/36=8y
To solve any equation, you want to have letters on one side and numbers on the other, so...
-8 from both sides...
(24/36)-8=y
24/36=0.6
y=(0.6-8)
y=-7.4

Hope this helps :)

What is the length of the longest side of a triangle that has the vertices (-5, 6), (-5, -2), and (1, -2)? Round to the nearest hundredth, if necessary

Answers

Well you'd use the distance formula for each pair of points:

d = sq.root of((x2 - x1)^2 + (y2-y1)^2)

(1) For the points (-5,6) and (-5,-2):

d = sq.root of((-5-(-5))^2 + (-2-6)^2)
= sq.root of (0 + 64)
= 8

(2) For the points (-5,-2) and (1,-2):

d = sq.root of((1-(-5))^2 + (-2-(-2))^2)
= sq.root of (36 + 0)
= 6

(3) For the points (1,-2) and (-5,6):

d = sq.root of((-5-1)^2 + (6-(-2))^2)
= sq.root of(36 + 64)
= sq.root of(100)
= 10

Therefor the length of the longest side is 10 units

0.2 is what percent of 16?

Answers

0.2% of 16=0.032
:)))]

2100 square-foot home cost $110 per square foot how much does this home cost

Answers

Answer:

2100 x 110= $231,000 , there you go

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