If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .

Step-by-step explanation:

Universal Set(U)={2,3,4...16}

M={2,4,6,8..16}[Even numbers between 2-16]

N={3,5,7...15}[Odd numbers between 2-16]

(PUM)'=U-(PUM)={2,3,4...16}-[{2,4,6,8..16}U{3,5,7...15}]={}

For shading, Shade the area outside the two circles but inside the square.

This question is solved using range and domain concepts. Doing this, it is found that:

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Thus:

A similar question is given at https://brainly.com/question/18141895

Answer:

3 GB over: $80 x GB over: $35+$15x

Step-by-step explanation:

First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!

For using 3GB of data more, she'll be charged $80.

a. Amount charged per month = $35

Amount charged for over-usage = $15 per gb.

Therefore, when she uses 3gb more, the amount charged will be:

= $35 + ($15 × 3)

= $35 + $45.

= $80

When she uses x gb more, the amount that she'll be charged will be:

= $35 + ($15 × x)

= $35 + 15x

= 35 + 15x

Read related link on:

https://brainly.com/question/23306305

Answer:

[tex] \tan(A + 45 \degree) - \tan(A - 45 \degree) \\ \\ = \frac{ \tan(A) + \tan(45 \degree) }{1 - \tan(A) \tan(45 \degree) } - \frac{ \tan(A) - \tan(45 \degree) }{1 + \tan(A) \tan(45 \degree) } \\ \\ [/tex]

but tan 45° is 1;

[tex] = \frac{ \tan(A) }{1 - \tan(A) } - \frac{ \tan(A) }{1 + \tan(A) } \\ \\ \frac{\tan(A) + { \tan }^{3} A + \tan(A) - { \tan}^{3} A}{1 - { \tan }^{2} A } \\ \\ = (\frac{2 \tan(A) }{1 - { \tan }^{2} A}) \\ \\ = \frac{2 \sin(A) }{ \cos(A) } \times { \sec }^{2} A \\ \\ = \frac{2}{ \cos(2A) } \\ \\ = 2 \sec(2A) [/tex]

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]

Answer:

profit of 3.33%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the system by substitution:

Find p:

Total profit or loss:

Profit percent:

Answer:

I did for you but I don't know you will understand my HANDWRITING or not .

:(

The answer is : [tex]\left(m+n^2\right)\left(m-n^2\right)[/tex]

Here are the steps below to help you! ^^

Answer:

x=6

Step-by-step explanation:

(0.6)(x-1.5)=2.7

(x-1.5)=4.5

x=6

Answer:

Step-by-step explanation:

alphabet to represent numbers.

Answer:

[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]

I hope I helped you^_^

Answer:

y= -13x+77

Step-by-step explanation:

Parallel lines do not share any points but have the same slope.

First, put the equation y-5=-13(x+2) into slope-intercept form.

y= -13x-21

Slope= -13x

Y-Intercept= (0,-21)

Now that we know the slope...

y-(-1)=-13(x-6)

becomes

y+1=-13x+78

y-1=-13x+78-1

y=-13x+77

Answer:

come fast in English classhshshshdhhhdhhshdhdbb

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Answer:

jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr

Answer:

x = 30

b = 30

a = 90

Step-by-step explanation:

So first let's find the 'X'

we already know one angle - 30 degrees

i think you should know the straight equals 180 so we minus 180 to 30

- 180 - 30 = 150

then we know there is 2x and 3x, which is unknown so in this we actually divide 150 with 5 cause 2 + 3 = 5, to get the x value

so x = 30

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so you know the progress so I will write the answers now

x = 30

b = 30

a = 90

___

so just to check the answers I will add all the numbers to equal it to 360

30 + 90 + 60 + 30 + 60 + 90 = 360

Answer:

Step-by-step explanation:

30 + 2x + 3x = 180   {Straight line angles}

30 + 5x = 180     {Combine like terms}

5x = 180 - 30  {Subtract 30 from both sides}

5x = 150

x = 150/5           {divide both sides by 5}

x = 30

30 + 3x + a = 180  {Straight line angles}

30 + 3*30 + a  = 180

30 + 90 + a = 180

   120 +  a = 180      

{Subtract 120 from both sides}

             a = 180 - 120

             a = 60

b + 2b + a = 180  {Straight line angles}

 3b + a = 180

   3b + 60 = 180

       3b  = 180 - 60      {Subtract 60 from both sides}

      3b = 120

         b = 120/3

b = 40

Answer:

1861÷1250

Step-by-step explanation:

This is the simplified version

Answer:

-5pi/9

Step-by-step explanation:

The conversion factor is pi/180

-100 degrees * pi/180 = -100/180 *pi =-10pi/18 = -5pi/9

Answer:

a. convenience sample

Step-by-step explanation:

I guess it is correct

Step-by-step explanation:

Answer:

556

Step-by-step explanation:

Surface area of the cuboid = 2*(lb+bh+lh)

Surface area = 2*(80+88+110)=556

Answer:

n = -12/23

Step-by-step explanation:

This value is approximate.

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Work Shown:

First we need to find angle C

A+B+C = 180

46+73+C = 180

119+C = 180

C = 180 - 119

C = 61

This is not the final answer, so answer choice B is likely a trick/trap answer.

We'll use this angle value to help find side c. Use the law of sines

c/sin(C) = b/sin(B)

c/sin(61) = (32.3)/sin(73)

c = sin(61)*(32.3)/sin(73)

c = 29.5410185554849 which is approximate

c = 29.5 which points us to choice A as the final answer.

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

Answer:

3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

Answer:

97/4752

Step-by-step explanation:

So, this problem sounds hard but it is actually simple.

First, add

65/12 + 8/3 = 97/12

Next, subtract

65/12 - 8/3 = 33/12

Then, divide

97/12 ÷ 33/12 = 97/4752

Hope this helps! :)

Answer:

0.45

Step-by-step explanation:

45%

=45÷100

=0.45 is decimal value

Answer:

C.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.

I'll do problem a as an example: