Answer:
D) 81x²y¹⁰
Step-by-step explanation:
(9xy⁵)²
Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.
(9)² = 81
(x)² = x²
(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.
Now combine the components.
D) 81x²y¹⁰
Answer:
yes it is a right triangle if you look closely at triangle ABC there is a right triangle mark the little square
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
The width would be x-4 and
Length would be x
Add all of the sides together
(x-4)+(x-4) + x + x =72,
Which would come out
4x-8=72
Subtract 8 fro, 72 and you get 64
Then divided 64 by 4
So. Width is 16 and length is 20 . given (x-4)
<h2>
Answer with explanation:</h2>
Confidence interval for mean, when population standard deviation is unknown:

, where
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the population has a normal distribution.
Given, n= 19 , s= 3.8 , 

A) Critical t value for
and degree of 18 freedom
= 2.8784
B) Required confidence interval:

Lower bound = 19.9 years
Uppen bound = 24.9 years
C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .