Answer:
The answer is

Step-by-step explanation:
First you have to find the radius of sphere by dividing diameter by 2 :

Let diameter = 14,


Next you have to use the volume of sphere formula :

Let r = 7,



9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
Answer:
12.5%
Step-by-step explanation:
In order to find the percentage the worker spent traveling, we can make us of the following ratio:

where number is how many hours he spent traveling, ammount is the total ammount of hours he reported and percent is the percentage we want to find. So we can solve the ratio for the percent, so we get:

now, we need to find the total amount of hours he spent traveling, this is gotten by adding the provided data:
6hrs+5hrs=11hrs
next we need to find the total amount of hours reported:
42hrs+46hrs=88hrs
so now we can substitute the data the problem provided us with:

which yields:
percent=12.5%
9514 1404 393
Answer:
- garden: 8 years
- tree: 120 years
Step-by-step explanation:
Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...
g +15g = 128
16g = 128 . . . . . collect terms
g = 128/16 = 8 . . . . divide by the coefficient of g
The garden is 8 years old; the tree is 120 years old.
Answer: yes
Step-by-step explanation:
it does have a proportional relationship because as the number of days goes on the number of sales increases. it's a direct relationship