Answer: c.1/81
Step-by-step explanation:
1. The negative exponent indicates that (3²)² is actually in the denominator, thererfore,, you can rewrite the expression as it is shown below:
2.By the properties of exponents you raise a powers of powers, you must multiply the exponents shown, then:
3. Then. you obtain that the equivalent expression is:
Sometines like with 4 and eight thats 4 but with others like 2 and 4 its 2
hope it helps
Answer:
A: 5x^2 + 42x + 16
B: 12x + 20
C: 351 units
Step-by-step explanation:
A: (5x + 2) * (x + 8) is the same as x(5x + 2) + 8(5x + 2). You just need to solve and simplify that for the area:
x(5x + 2) + 8(5x + 2)
= 5x^2 + 2x + 40x + 16
= 5x^2 + 42x + 16
B: You need to do 2l + 2w, or 2(5x + 2) + 2(x + 8):
2(5x + 2) + 2(x + 8)
= 10x + 4 + 2x + 16
= 12x + 20
C: You can either replace the x in the equation with 5 or replace the x in the figure itself with 5. I will replace the one in the figure with 5 because it is a lot easier:
(5(5) + 2) * (5 + 8)
= 27 x 13
= 351 units
Answer:
B(2;4) C(1;0)
Step-by-step explanation:
the shift is (x+3)-1....meaning 3 units to the left and 1 unit downwards
Answer:
Decision rule: Do not reject ; we cannot conclude that the mean differs from zero
Step-by-step explanation:
From the given information:
The null hypothesis and alternative hypothesis is given as:
And the 99% confidence interval for the population mean is: [−3.79, 5.86]
The significance level ∝ = 1 - 0.99 = 0.01
We will notice that the 99% confidence interval for the population mean contains the null hypothesis mean value which is equal to zero.
Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01
∴
Decision rule: Do not reject ; we cannot conclude that the mean differs from zero