Help me with math please really need it

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Answer

32,768

Step-by-step explanation:

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Answer:

75+30=105....................

[tex]\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}[/tex]

[tex]\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]

Let

[tex]\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]

For n=1

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=(1)^2[/tex]

[tex]\\ \bf\longmapsto P(1)=1=1^3[/tex]

Let k be any positive integer.

[tex]\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2[/tex]

We have to prove that p(k+1) is true.

consider

[tex]\sf 1^3+2^3\dots k^3+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3[/tex]

Thus P(k+1) is true whenever P(k) is true.

Hence by the Principal of mathematical induction statement P(n) is true for [tex]\bf n\epsilon N.[/tex]

Note:-

We can solve without simplifying the Question .I did it for clear steps and understanding .

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Answer:

Step-by-step explanation:

[tex]1^3=1=\dfrac{1^2*(1+1)^2}{4} =\dfrac{4}{4} =1\\\\\\\displaystyle \sum_{i=1}^{n+1}\ i^3=(\sum_{i=1}^{n}\ i^3) + (n+1)^3\\\\\\=\dfrac{n^2*(n+1)^2}{4} +(n+1)^3\\\\\\=(n+1)^2*(\frac{n^2}{4} +n+1)\\\\\\=(n+1)^2*\dfrac{n^2+4n+4}{4} \\\\\\=\dfrac{(n+1)^2*(n+2)^2}{4}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The x-coordinate is the same in each pair of points, so the line segment will be a vertical line segment 3 units long.

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

Answer:

11

Step-by-step explanation:

[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]

154 divided by 14 equals 11.

To find the quotient of 154 divided by 14, we perform long division as follows:

     11

14 | 154

First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.

Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.

We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.

Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.

Since there are no more digits to bring down, we can conclude that the quotient is 11.

Therefore, 154 divided by 14 equals 11.

Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.

To learn more about the division;

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Answer:

2 apples: 5 bananas: 8 oranges

Final answer: 1 apple: 2,5 bananas ( divide by 2 )

Answer:

D.0.8

Step-by-step explanation:

The ratio in mathematics indicates how many times one number contain another. To find this ratio you must make a division of both. numbers. For example the ratio X to Y is X/Y.

As there are 4 apples to 5 bananas, the ratio of apples to bananas is:

4/5=0.8

Answer:

y = –5x + 4

Step-by-step explanation:

i had this question

Answer:

y=3

Step-by-step explanation:

(2y-1)2-7(y-1)+4=0

4y-2-7y+7+4=0

9-3y=0

9=0+3y

9=3y

9/3=y

y=3

Answer:

6x - 15

Step-by-step explanation:

(2x - 5)3

3(2x) - 3(5)

6x - 15

Answer:

Step-by-step explanation:

7/100 as a decimal is 0.07.

Answer:

7.00

Step-by-step explanation:

To get a decimal, you move the decimal point to the left twice. If you move the decimal point two times to the left on 700, you would get 7.00.

Answer: 3.6

Step-by-step explanation:

Answer:

63.6 pounds

Step-by-step explanation:

Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.

So 6% of 60 is

[tex]\frac{x}{60} *100=6[/tex]

x=360/100

x=3.6

So Jimmy's dog weighs 60+3.6=63.6 pounds

Answer:

C. (Image 092618

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

y1 is 2

y2 is -1

x1 is -3

x2 is 7

substitute:

[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]

Answer:

8 x 9 = 72

4. 48

5. 56

6. 18

7. 45

8. 48

9. 9

10. 6

11. 11

12. 10

13. 7

14. 5

15. 1530

16. 5478

17. 252

18. 8

19. 30

20. 30,000

21. 30,000; 300,000

22. 5,390

23. 124,000

24. 2,700,000

25. less than

26. less than

27. greater than

28. 300,000 + 40,000 + 2,000 + 500 + 7

29. 342,507

Step-by-step explanation:

For the rounding numbers, if the hundredth or tenth place is not 5 or more the number does not change.

Answer:

[tex]y=\frac{3}{4}x+\frac{25}{4}[/tex]

Step-by-step explanation:

when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.

to find the slope use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}[/tex] so the slope is -4/3

the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4

The median speed at which Dave drove to work was 62 miles per hour.

To find the median speed at which Dave drove to work, we need to arrange the average speeds in ascending order and determine the middle value.

Sorting the average speeds in ascending order:

44, 45, 54, 59, 62, 63, 66, 67, 70

Since we have nine values, the median will be the middle value when the data is arranged in ascending order. In this case, the fifth value, which is 62, represents the median speed at which Dave drove to work.

Dave drove to work at a median speed of 62 miles per hour as a result.

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Step-by-step explanation:

hope it is helpful for you

9514 1404 393

Answer:

  B. x = 0.80

Step-by-step explanation:

We suspect you want the solution to the exponential equation ...

  4e^(2x) +16 = 36

  e^(2x) +4 = 9 . . . . . . . . . . . divide by 4 (because we can)

  e^(2x) = 5 . . . . . . . . . . . . . . subtract 4

  2x = ln(5) . . . . . . . . . . . . . . . take natural logs

  x = ln(5)/2 ≈ 0.804719 . . . . .divide by the coefficient of x

  x ≈ 0.80

Answer:

The answer is 6000 days.

Answer:

- Each sum which is larger than 10 can be found by first making a 10. For example, to find 8 + 5, we can write. \begin{align} 8+5 &= 8 + (2+3) \\ &= (8+2) + 3 \\ &= 10 + 3 \\ &= 13

Step-by-step explanation:

Adding 9 to another single digit number can also be done by first making a 10. For example.

- Hope this helped ^^

Step-by-step explanation:

We can rewrite the left-hand side as

[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]

Here, we used the following properties of logarithms:

[tex]\log{x^a} = a\log{x}[/tex]

[tex]\log{ab} = \log{a} + \log{b}[/tex]

We can then write

[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]

or

[tex]x = 5[/tex]

Answer:

I don’t understand this

Step-by-step explanation:

Answer:

Question 1:

78 - 5 - 7

Question 2:

[tex] - \frac{1}{6} [/tex]

Answer:

[tex]14 = a - 8 \\ \\ - a = - 8 - 14 \\ \\ - a = - 22 \\ \\ a = 22[/tex]

Answer:

m+5

Step-by-step explanation:

4m+5-3m

1m+5

Answer:

Sol Levin needs to sell 49 pairs shoes on Saturday.

Step-by-step explanation:

29 x 6 = 174

(22 x 3) + 28 + 31 + x = 174

66 + 28 + 31 + x = 174

94 + 31 + x = 174

125 + x = 174

(125 - 125) + x = (174 - 125)

x = 49

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40