Correct option C) 0.98%
<u>Step-by-step explanation:</u>
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒ 
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒ 
So , Probability of occurring both events is :
⇒ 
⇒ 
⇒ 
Percentage =
%
Therefore , Correct option C) 0.98%
The inverse of the function f(x) = 4(x-3)² + 2 is 
The given function is:
f(x) = 4(x - 3)² + 2
To find the inverse of the function:
Make x as the subject of the formula

Replace x by
and replace f(x) by x

Therefore, the inverse of the function is:

Learn more here: brainly.com/question/17285960
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Financial aid would cover 5,700 and you would need to pay 1,900
Answer:
x = 16
Explanations:
The given rquation is:

Step 1: Cross multiply the equations. That is 28 multiplies 4 and 7 multiplies x:

112 = 7x
Step 2: Divide both sides by 7

16 = x x = 16