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mixer [17]
2 years ago
6

Which statements are correct interpretations of this graph?

Mathematics
1 answer:
ki77a [65]2 years ago
6 0

3 boxes are filled every 4 min.

.75 boxes are filled per minute.

You might be interested in
Which expression is equivalent to ( 4mn / m^-2n^6)^-2
inn [45]

Here are a few rules with exponents that apply here:

  1. Raising a power to a power: (x^m)^n=x^{m*n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Converting negative exponents to positive ones: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m

Firstly, solve the outer exponent:

(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}

Next, divide:

\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}

Next, convert the negative exponents:

4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}

<u>Your final answer is n^10/16m^6 , or B.</u>

8 0
3 years ago
write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4
VashaNatasha [74]

Answer:

  y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

3 0
3 years ago
The area of the circle is 64pie cm. What is the radius in cm?
Vinil7 [7]

Answer: 8 centimeters

Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².

To solve for <em>r</em>, we first divide both sides of the equation by π.

On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².

So we have 64 = r².

Next, we take the square root of both sides to get 8 = r.

So the radius of our circle is 8 centimeters.

8 0
3 years ago
Read 2 more answers
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
iogann1982 [59]

Answer:

None of these choices are correct.

Step-by-step explanation:

If a bond is quoted at 99.875, it means that it is sold at 99.875%  of the face value;

Face value = 1000

Therefore, Price = 0.99875 * 1000

Price = $998.75

If Leona pays  5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;

5.5% of 998.75 is;

0.055*998.75 = $54.93

The total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the given choices is correct.

4 0
3 years ago
Read 2 more answers
10 = z/2 + 7<br> Help please..??
laila [671]
10 = \frac{z}{2} + 7\\\\3 = \frac{z}{2}\\\\\boxed{\bf{z = 6}}
7 0
2 years ago
Read 2 more answers
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