Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Given:
Right Rectangular Prism.
It has its length, width, and height.
Surface area of a right rectangular prism has this formula:
SA = 2 (wl + hl + hw)
Volume of a right rectangular prism has this formula
V = whl
Formula of Surface Area is different from Volume.
Surface
area measures the area the whole rectangular prism surface. It computes
for the area of all 6 faces that a right rectangular prism has.
Volume measures the area within the rectangular prism. It is the space that is enclosed within the rectangular prism.
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
If you divide 380 by 20, you get 19. To check this, multiply 20 x 19 to see 380. Hope this helps :D
Answer:
A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.
Step-by-step explanation:
Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.
So, from the given conditions we can write two different equations as
5x + 8y = 34.5 ............ (1) and
2x + 16y = 33 ............... (2)
Now, solving the equations (1) and (2) we get
2x + 2(34.5 - 5x) = 33
⇒ 8x = 36
⇒ x = $4.5
Again, from the equation (2) we can write
2(4.5) + 16y = 33
⇒ 16y = 24
⇒ y = $1.5
Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)
