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viva [34]
3 years ago
13

Simplify the expression. Write your answer as a power.

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

either 2^8/3^8 or 256/6561

Step-by-step explanation:

looked it up on Symbolab

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A 6-ounce tube of toothpaste costs $2.00. What is the approximate difference in the unit price from the original price if a $1.2
LenKa [72]
I believe it is D, because if you divide 2/6 its .333 minus 1.25/6, which is .124.
4 0
3 years ago
Read 2 more answers
Find the equation of the vertical line through (7,-3)
wlad13 [49]
X = 7
Is a vertical line that passes through (7,-3).
4 0
3 years ago
Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
12. The circumference of a quarter is about 76 mm. What is
77julia77 [94]

Answer: A= 460 mm2

Step-by-step explanation:

Hi, since the circumference formula is :

C = 2 π r

Where r is the radius, we can solve the formula for the radius replacing with the value given:

76 =2 π r

76 / (2 π) = r

r = 12.1 mm

Now , we have to apply the formula for the area of a circle.

A = π r^2

A = π (12.1)^2

A= 459.96 mm2= 460 mm2 (rounded to the nearest tenth, since .9 is higher than .5)

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Marcos is mixing a solution in science class. He is mixing 3 ounces of food coloring with every 8 ounces of water. If he wants a
jonny [76]

Answer:

With the 24 ounces of water he would have 9 ounces of food coloring.

Step-by-step explanation:

For ever 8 ounces of water there is 3 ounces of food coloring so if there is 24 ounces of water that mean there is 3 times the original starting amount. So 8x3=24 so there is 24 ounces of the water. Since the8 got multiplied by 3 that means the 3 we haven't used yet will get multiplied by 3 as well so we can find the answer. So 3x3=9. That means we would have 9 ounces of food coloring with the 24 ounces of water.

7 0
3 years ago
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