Answer:
7 2/3 minutes
Step-by-step explanation:
We can write this equation in y = mx+b form
where m = 3 ft/min and b = -105 ft
x is the number of minutes and y is the depth
y = 3 * x -105
We want to find when y = -82
-82 = 3x -105
Add 105 to each side
-82+105 = 3x-105+105
23=3x
Divide by 3
23/3 = 3x/3
23/3=x
Changing into a mixed number
3 goes into 23 7 times with 2 left over
7 2/3 minutes
Answer:
the volume of the sphere is
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)
also diameter d=length l
Diameter d= 
Radius r = 
= 
= 
Height h=
we know that the volume of a sphere is given by
substituting into the formula we have
Answer:
F , D, A
Step-by-step explanation:
As we know vertical stretch of f(x) happens when we chane the value of the patameter a in this general form:
y = a. f(k(x-d))+ c
when |a| > 1 because When |a| > 1 (when a is greater than 1), the function is stretched vertically by a dilation factor of |a|.
So we choose, F , D, A
Answer:
A. 2 4/5
Step-by-step explanation:
To find how many hours she worked for $210, you must get the amount of money she gets in 1 hour.
Because she charges $43 dollars every hour, and fines a fee of $30 flat, we must add both of the amount to get how many she earns in 1 hour.
So:
$45 + $30= $75
She earn $75 in 1 hour.
Next, divide $210 dollars that she earned for working for hour(s) to the amount of money she earned in 1 hour to find how many hours she worked.
So:
$210 ÷ $75= 2.8 hours
The answer is 2.8 hours
Because the given answers is in fraction, we must change the decimal into a fraction.
To change a decimal into a fraction, you must place the decimal over its place value.
Because 8 in the decimal 2.8 is in the tenths place, you must place it over 10
So:
2.8 into a decimal is 2 8/10
Simplify (only simplify if possible):
Divide 8 and 10 to their GCF which is 2.
So:
8 ÷ 2= 4
10 ÷ 2= 5
So the fraction and the answer is now:
2 4/5
I hope this helps! I'm sorry if it's wrong and too complicated.
