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Strike441 [17]
3 years ago
10

Which expression is equivalent to (4^−3)^−6?1. 4^-182. 4^183. 4^-94. 4^3

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

4^18

Step-by-step explanation:

4^18 = 2^36

(4^−3)^−6? = 2^36

Please visit: https://youtu.be/_0Ft9HdNg5c

Thanks.

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Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)
natita [175]
Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
6 0
3 years ago
What are the zeros of h(x)=x^4-18x^2+81
kykrilka [37]

Answer:

zeros: x = -3, 3

Step-by-step explanation:

The zeros are the x values where the graph intersects the x-axis. to find the roots, replace the y with 0 and solve for x.

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5 0
3 years ago
Read 2 more answers
The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340

Thus, the correct answer is

Option D) 340

7 0
3 years ago
A rectangle has an area of 226.1 square miles and a base of 13.3 miles. What is the height?
miskamm [114]

Answer:

The width (in our case it is the height) of the rectangle equals 17 miles

Step-by-step explanation:

In order to solve this, we need to know the following...

Area of a rectangle = Length x Width

(in our case based on what you said length is the base and width is the height)

Now we just change the formula to our needs and get that...

Width = Area of the rectangle / Length

And so we get...

Width = Area of the rectangle / Length

Width = 226.1 / 13.3

Width = 17 miles

3 0
3 years ago
I need help for this to pass my last math class please help and show your work
Maksim231197 [3]
-12 + 3x + 2 = 5x - 10 - 8x 
-10 + 3x = -3x -10
-10 + 6x = -10
6x = 0 
x = 0 
3 0
3 years ago
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