Answer:
The new volume is two times the original volume
Step-by-step explanation:
we know that
The volume of a rectangular prism

where
B is the area of the base
H is the height of the prism
If the height of a rectangular prism is doubled,
then
The new volume is equal to


therefore
The new volume is two times the original volume
Answer:
Option b
Step-by-step explanation:
The equation
has center in (0,0).
But the transformation
shifts the center of the equation to the point (5, -6).
Therefore, when applying
we will have the following equation translated.
.
Simplifying we have:
Now we expand
and 

The equation of a circle has the form

For h = 1 and q = 1.
If
and
then the graph becomes an ellipse.
In this problem h = 4 and q = 5 therefore the figure is an ellipse
Answer:
There were 12 + 28 = 40 pieces of fruit in the basket.
Step-by-step explanation:
Suppose there were x oranges and y grapefruit.
Then we have
1 /3 x = 4
x = 4*3 = 12.
1/4 y = 7
y = 7*4 = 28.
Total cards with cat = 5
Total cards with dog = 6
Total cards = 5 + 6 = 11
He removed a card with dog.
Total cards with dog = 6 - 1 = 5
Total number of cards = 11 - 1 = 10
P(dog) = 5/10 (Answer C)