Answer:
x = -5
Step-by-step explanation:
4-2(x+7)=3(x+5)
Distribute
4 -2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10+2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
1) When you have an exponent being raised to an exponent, you multiply them. 2*3 is 6, so you have x^6, which would make C your answer.
2) You reduce them by subtracting the top ones from the bottom ones, so it becomes x^2*z. The y's cancel out, 6-4 is 2 and 9-8 is 1. Your answer is C again.
3) As you did in one, simply multiply out the top first. The top them becomes 9x^12*y^18. Subtract the bottom exponents to get 9x^6y^9/3, which then becomes 3x^6*y^9, which is D.
4) When you have a square root over a square root, you can put the numbers inside like this: . 81 over 27 is equal to 3, so you have sqrt3 as your answer - A.
5) You have sqrt2*2*sqrt3. You can put 2*3 under the square root together, and they multiply to 6, so you have 2sqrt6 - D.
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
Answer:
96cm²
Step-by-step explanation:
<u>Top left part:</u>
12 x 3 = 36 cm²
<u>Bottom right part:</u>
The width is 12 - 6 = 6, then 6 + 6 = 12, so
12 x 5 = 60cm²
<u>Add them together:</u>
60 + 36 = 96cm²
<u>Total:</u>
96cm²
Answer:
The area under the normal curve from the mean to 118.8. is 0.47
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Find the area under the normal curve from the mean to 118.8.
This is the pvalue of Z when X = 118.8 subtracted by the pvalue of Z when X = 100.
X = 118.8
has a pvalue of 0.97
X = 100
has a pvalue of 0.5
0.97 - 0.5 = 0.47
The area under the normal curve from the mean to 118.8. is 0.47