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Ket [755]
3 years ago
5

If volume of a candle is 28 cu. in. How many rectangular molds can you make?

Mathematics
1 answer:
Korolek [52]3 years ago
5 0
Well if you c an make 5 bea cuse ... each mold is 28

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At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce
storchak [24]

Answer:

The correct answer will be "60 min/hour".

Step-by-step explanation:

At time 2:00 PM

A car reads = 30 mi/h

At time 2:20 PM

A car reads = 50 mi/h

Now,

At time 2:00 PM

t = 0

At time 2:20 PM

t = \frac{1}{3}

v(0)=30

v(\frac{1}{3})=50

For MVT,

v'(c)=\frac{v(\frac{1}{3} -v(0))}{(\frac{1}{3} )}

       =\frac{20}{\frac{1}{3} }

       =60 \ min/hour

5 0
3 years ago
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
AnnZ [28]
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
3 0
2 years ago
Read 2 more answers
What does x stand for in 4+x=3x
Irina18 [472]

x stands for a variable, in which the variable would be replaced by a number(s) that would make the equation true.

Hope this helps

7 0
3 years ago
Madelyn sells girl scout cookies. Her grandmother bought 5 boxes. Her next door neighbor bought 1 box.
olganol [36]
If that was the end and the question was "How many boxes did she sell?" then the answer is 6 boxes.
6 0
3 years ago
Read 2 more answers
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