Answer:
<h2>
a₃₀ = 120</h2>
Step-by-step explanation:

By using exponent properties, we will get the simplified expression:

<h3>
How to simplify the given expression?</h3>
Here we have the expression:

Remember the exponent properties:

And:

So using these two properties, we can rewrite:

So we conclude that the completely simplified expression is:

If you want to learn more about exponents:
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Answer:
b) y = 289.815 when 
Step-by-step explanation:
We are given the following information in the question:

where y is the dependent variable,
are the independent variable.
The multiple regression equation is of the form:

where,
: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.
: It is the slope coefficient of the independent variable
.
: It is the slope coefficient of the independent variable
.
- The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.
Comparing the equations, we get:

- This means holding
constant, a change of one in
is associated with a change of 0.5906 in the dependent variable.
- This means holding
constant, a change of 1 in
is associated with a change of 0.4980 in the dependent variable.
b) We have to estimate the value of y

5(n + 27) >= 6(n + 26)
5n + 135 >= 6n + 156
-n >= 21
n <= -21
Answer:
544 cm²
Step-by-step explanation:
hello,
to find the tsa of a rectangular prism, you use:
tsa = 2 ( lw + lh + wh )
in this case, l = 16 cm, w = 6 cm and h = 8 cm.
knowing these informations, you can proceed with using the formula.
tsa = 2 [ ( 16*6) + ( 16*8 ) + ( 6*8) ]
= 2 [ 96 + 128 + 48 ]
= 2 ( 272 )
= 544 cm²
please try to understand how i worked this out, and do let me know if you have any questions.
have a great day! thank you!