4^3*4^-5= 4^-2 (add the exponents since the base is the same)
5^-4*5^1= 5^-3 (add the exponents since the base is the same)
Square both terms (double the exponents)
(4^-2)^2= 4^-4
(5^-3)2= 5^-6
Then take out negative exponents (x^-a= 1/x^a)
4^-4 /5^-6 = 5^6/4^4
Final answer: 5^6/4^4
If you want it in number form
5^6= 15625
4^4=256
15625/256= 61.035...
Answer:
Step-by-step explanation:
Given
Required
Determine the sample space
The sample space is a list of combination of 1 meal and 1 beverage.
Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same
The sample space (S) is as follows:
Hello!
We can first find RZ. A midpoint is the point right in the middle of a line segment. It splits the line into two equivalent lengths. If z is the midpoint of RT, it therefore splits RT into two equivalent segments, RZ and ZT. Thus, the length of RZ is equivalent to ZT, therefore, the length of RZ is 150.
Next, find RT. We know that RT is made of RZ and ZT, and we know the side lengths of both - 150 and 150. Therefore, add these two together to get the length of RT. 150 + 150 = 300.
Finally, find x. We know that RZ is equal to 150, and we are given 8x - 10 = RZ. Therefore, we know 8x - 10 = 150. Solve this equation for x by isolating x.
8x - 10 = 150
8x = 160
x = 20
Therefore, x = 20.
Your final answer is choice C: x = 20, RZ = 150, and RT = 300.
Hope this helps!
Answer:
A. 30
Step-by-step explanation:
The interquartile range for a box and whiskers plot, is the value from the right side of the box minus the value of the left side of the box.
In this case at the far right side of the box it is at 130, at the far left side of the box it is at 100.
130-100=30
Answer:
The midpoint is (-1, 1.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(2+-4)/2 = -2/2 = -1
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(-3+6)/2 = 3/2 = 1.5
The midpoint is (-1, 1.5)
