Answer: 
Step-by-step explanation:
1. The problem asked for the product of 
and 
, therefore, you must mutliply them, as you can see below:
2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:
Answer:
Step-by-step explanation:
Let us assume that the total area of the wall to be painted is w.
Then Jason painted an area of (1/4)w on Monday
And he painted (2)(1/4)w on Tuesday
So to find the unpainted area, we just take the whole wall area to be painted (which is w) and subtract out the amounts painted on Monday and Tuesday, which are shown above.
So the unpainted area (U) would be shown by the following expression:
U = w - (1/4)w - (2)(1/4)w
We can simplify this expression by factoring out w
U = w(1 - 1/4 - 1/2)
U = w (1/4) or w/4
So all Jason needs to do is paint as much of the wall as he did on Monday, and he will be done!
Answer:
.83333
Step-by-step explanation:
<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
Answer: 
Step-by-step explanation:
Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.
sample size : n= 1000
sample proportion: 
Critical value for 95% confidence interval = 
Confidence interval :
Hence, the 95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform:
