Answer:
Hourly growth rate is 4.24%
Step-by-step explanation:
The formula or exponential growth is given by:
![y = a*(1+r)^n](https://tex.z-dn.net/?f=y%20%3D%20a%2A%281%2Br%29%5En)
Where
y is the instantaneous value of growing culture
a is the initial value of growing culture
r is the 'hourly' growth rate
n is the number of hours passed
As per given values:
y = 1997; a = 1800; n = 2.5
![1997 = 1800*(1+r)^{2.5}](https://tex.z-dn.net/?f=1997%20%3D%201800%2A%281%2Br%29%5E%7B2.5%7D)
![1.10944=(1+r)^{2.5}](https://tex.z-dn.net/?f=1.10944%3D%281%2Br%29%5E%7B2.5%7D)
![1+r = 1.0424](https://tex.z-dn.net/?f=1%2Br%20%3D%201.0424)
Hence, growth rate is:
r = 0.0424 = 4.24%
Hey there! :D
In a ratio, the first thing or item mentioned is first in the ratio. Let the muffins stand for x, and the donuts stand for y. It asks for the ratio of muffins to donuts.
x:y
Plug in the numbers.
28:49
Both numbers are divisible by 7.
28/7= 4 49/7=7
4:7 <=== simplified ratio
I hope this helps!
~kaikers
It is very hard for me to explain this but i will do my best
for example: a cube has a length, height, and width of 1
the area of the cube is 1 units cubed right?
well when you have a cube that has a length, height, and width of 3, the area of the cube is 9 cubic units
what i mean is that we have to multiply 55 by 9 to find the number of shirts that will fin in the jumbo box.
55 times 9 = 495
the amount of shirts the box can hold is 495
Answer:
y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.
-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3
is a solid line that crosses the y-axis at (0, -3) and is shaded below the line
Problem 2:
first inequality is mentioned in problem 1
second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4
is a solid line that crosses the y- axis at (0, -4) and is shaded above the line
It is parallel to the first line because they have the same slope
Step-by-step explanation:
y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.
-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3
is a solid line that crosses the y-axis at (0, -3) and is shaded below the line
Problem 2:
first inequality is mentioned in problem 1
second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4
is a solid line that crosses the y- axis at (0, -4) and is shaded above the line
It is parallel to the first line because they have the same slope
Answer:
The correct answer would be A. 15/4.
Step-by-step explanation:
Slope is equal to the change in <em>y </em>over the change in x<em>, </em>or rise over run.
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m = y2 - y1/x2 - x1
Substitute in the values of x and y into the equation to find the slope.
m = 5 - (- 10)/- 1 - (- 5)
Simplify.
m = 15/4