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Akimi4 [234]
3 years ago
13

Which expression is equivalent to (7x^3)^2 (x^8)^1/2​

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:

Step-by-step explanation:

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Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1
oee [108]
Let's review the terminology.  A product is what you get when you multiply two numbers.  So, the product of 5 and 2 is basically "5*2," and the product of 5 and 1 is "5*1."

The difference means when you subtract one from the other.  So, the difference of 5*2 and 5*1 means "(5*2)-(5*1)".  (Note: I put in parentheses to make sure the reader understands that 5*2 is separate from 5*1.  5*2-5*1 is confusing: you might not know what to do first!)

So, "(5*2)-(5*1)" can be your answer, OR you can simplify it further by actually doing the multiplication: "10-5".  If you want the answer, just subtract--the expression is equal to 5.

Answer: "<span>(5*2)-(5*1)" OR "10-5" OR "5"</span>
3 0
4 years ago
Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
4 years ago
120 &lt; 12k + 29 need help plz answer for 15 points
kherson [118]
1000 this is because it is the right one
8 0
3 years ago
Read 2 more answers
the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder t
Sauron [17]

Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

26^2=10^2+H^2

Calculating:

676=100+H^2

Solving:

H^2=676-100

H^2=576

H=\sqrt{576}

H=24 feet

The ladder touches the wall at 24 feet from the ground.

8 0
3 years ago
If 8 feet of fencing costs $12.40 , how much does 36 feet of fencing cost?
Vesnalui [34]

Answer:

$55.80

Step-by-step explanation:

8, 16, 24, 32, 36

8=12.40, 16=24.80, 24=37.2, 32=49.6,

+4 makes it 36 so it's have of 8, so add 6.20 to the end and it's 55.80

6 0
3 years ago
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