The first one is false! An exponent must be greater than 1 to show exponential growth. The next 3 are TRUE! From 0 to 1, the exponent will show decay. An exponential function make some sort of parabola shape and NOT a straight line. And for y=2x, just plug in your given points (x,y) so: 6=2(3) which means 6=6, and that is true
So first you’ll combine the J’s.
8j - 9j = 1j
+ -5j
Which will be -4j.
That makes: 6 + -4j - 3
So you can subtract 6-3 to make 3.
Which makes 3 + -4j
That’s the answer!
<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>
Answer:
The radius of the cylinder:
Step-by-step explanation:
The volume of a cylinder is represented by the formula
V=πr²h
here
The radius of the cylinder can be computed using the formula of the volume of a cylinder
V = πr²h
r² = V / πh
Taking square roots

Thus, the formula of the radius of the cylinder.

Therefore, the radius of the cylinder:
Answer:
D
Step-by-step explanation:
They all move 1 unit up.
The mapping notation essentially tells you, what you do to each point to get the image point.
In this case (x,y)→(x,y+1) is telling you, for any given coordinate on the original, you add 1 to its y coordinate. Adding 1 to a y coordinate moves it up one unit.
Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg =
and hypotenuse = 
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Plugging in values.


Subtracting both sides by 9.


Taking square root both sides.


Thus, the height of the dog house = 4 feet.