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Studentka2010 [4]
3 years ago
5

In one month ,Charlie read 814 pages in the same month his mom read4 times as many pages as Charlie and that was 143 pages more

than Charlie’s dad read.What was the total number of pages read by Charlie and his parents ?
Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

7183

Step-by-step explanation:

First, you multiply 814 by 4 to get the # that his mom read, then ypu subtract 143 from thanswer to get the # that his dad read

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Median is 6 range is 9 mode is 6 and mean is 7
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Which expression is in simplest form?
mixas84 [53]

Answer:

The answer is simply A. (3 cube root 8)

Step-by-step explanation:

This is the solution because the cube root of 8 makes 2. All of the other options give a decimal/unsimplified number...

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3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30
anastassius [24]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

3x-5y=-30

Move the -3x to the right side

-5y=-3x-30

Divide both sides by -5

y=\dfrac{3}{5}x+6

This should be your answer, let me know if you need any clarifications, thanks!

5 0
3 years ago
Read 2 more answers
What is the coordinate of point Z after translating it 7 units down and then translating it 8 units right
Diano4ka-milaya [45]

Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the translations are given as follows:

  • 8 units right, hence x -> x + 8.
  • 7 units down, hence y -> y - 7.

Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:

Z'(x + 8, y - 7).

More can be learned about translation concepts at brainly.com/question/28351549

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3 0
2 years ago
Integrate <img src="https://tex.z-dn.net/?f=e%5E%7B4x%7D%5Csqrt%7B1%2Be%5E%7B2x%7D%20%7D%20dx" id="TexFormula1" title="e^{4x}\sq
AnnyKZ [126]

Answer:

(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the function

                    f(x) = e^{4x} \sqrt{1+e^{2x} }

Now integrating on both sides, we get

                 \int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx

                               =    \int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx

                         

<u><em>Step(ii):-</em></u>

  Let  1 + e^{2x}  = t

           e^{2x}  = t -1  

          2e^{2x}dx = d t

          e^{2x}dx = \frac{1}{2} d t

                = \int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx

                  = \int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }

                 = \frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }

                = \frac{1}{2} \int\limits {(t^{\frac{1}{2}  } t^{1} +t^{\frac{1}{2} } ) } \, dx

                = \frac{1}{2} \int\limits {(t^{\frac{3}{2}  } +t^{\frac{1}{2} } ) } \, dx

               = \frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C

              =  \frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C

             = \frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C

            = (\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

<u><em>Final answer:-</em></u>

= (\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C

             

3 0
3 years ago
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