Answer:
-15 + -3 = -18
Rob owes his father $18.
Step-by-step explanation:
Rob has to pay back the same amount of money that he took. Since he took 15 dollars, he has to give back 15 dollars which makes the 15 negative. The same goes for the 3 in the equation.
To find out the total amount Rob has to pay back, we have to add -15 and -3, which is -18.
Each batch gives you 3 dozen and you need 1 1/2 cups for each batch of cookies
she uses 6 cups in total, so divide 6 by 1 1/2 to get the number of batches
6 ÷ 1 1/2 = 4 batches
so 4 batches × 3 dozen cookies = 12 dozen cookies
Answer:
2^9 = 512
Step-by-step explanation:
2^9 = 512 is the largest number less than 1000 that has only 2s in its prime factorization.
Answer:
Part c) 
Part d) 
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
substitute
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
we have
substitute
-----> exact value
<em>Find the approximate value</em>
assume
We'll check if they're orthogonal:
u*v=0
(6,-2)*(8,24)=0
6*8+(-2)*24=0
48-48=0
0=0
they are orthogonal vectors
