Easy work for extra points

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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Answer:

19.5

Step-by-step explanation:

Step-by-step explanation:

If we count for both numbers up to 36, we start seeing a pattern...

Candy: 6 12 18 24 30 36

Danny: 4 8 12 16 20 24 28 32 36

Every other number in Candy's counting is also counted by Danny. So here's what we'll do:

600/6 = 100

This is how many numbers Candy counted overall.

100/2 = 50

This is how many numbers Danny counted that were also numbers Candy counted.

Answer:

50 of the numbers that candy counted were also counted by Danny.

Answer:

50

Step-by-step explanation:

Answer:

7.1

Step-by-step explanation:

6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30

20 - 6 = 14

14 children have an average age of 8  14*8 =112 so the sum of their ages is 112

Add the two sums

30+112 = 142

Divide by the total number of children

142/20 =7.1

The average age of all the 20 children is 7.1

Answer: 7.1

Step-by-step explanation:

Answer:

7(top left) 5(top right)

6(bottom left) 0(bottom right)

Answered by GAUTHMATH

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Answer:

jhv

Step-by-step explanation:

kjbb

Step-by-step explanation:

Given the following configurations, the followed may be constructed and fabricated into the following:

Point-Slope Form:

Point: (-6, -2).

Slope: 9

Y - y1 = m(x - x1)

Y + 2 = 9(x + 6)

Y + 2 = 18x + 48

Y = 18x + 46 <== Slope-Intercept Form.

-18x + y = 46 <== Standard (General) Form.

Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.

*I hope this helps.

Answer:

Given the following configurations, the followed may be constructed and fabricated into the following:

Point-Slope Form:

Point: (-6, -2).

Slope: 9

Y - y1 = m(x - x1)

Y + 2 = 9(x + 6)

Y + 2 = 18x + 48

Y = 18x + 46 <== Slope-Intercept Form.

-18x + y = 46 <== Standard (General) Form.

Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.

*I hope this helps.

Step-by-step explanation:

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer:

the answer is -2x-y=2

Step-by-step explanation:

Ax+By=C

y=mx+b

y=2x-2

-2x-y=2

Answer:

y=−2x−2

Step-by-step explanation:

Answer

around 10%

Step-by-step explanation:

Answer:

g = -1/2

Step-by-step explanation:

-10(g - 6) = 65

Distribute

-10g +60 = 65

Subtract 60 from each side

-10g+60-60 = 65-60

-10g = 5

Divide by -10

-10g/-10 = 5/-10

g = -1/2

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

61.973

Step-by-step explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi

Answer:

[tex]y = x-7[/tex]

Step-by-step explanation:

Step 1:  Write the equation in point-slope form

Point Slope Form:  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

Plug in the numbers and solve

[tex]y - (-2) = 1(x - 5)[/tex]

[tex]y + 2 = x - 5[/tex]

[tex]y + 2 - 2 = x - 5 - 2[/tex]

[tex]y = x-7[/tex]

Answer:  [tex]y = x-7[/tex]

Answer:

1/4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Answer:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Step-by-step explanation:

Answer:

Can we have a picture please? That would help a lot! Thanks!~

Step-by-step explanation:

Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( -5-1)/(2- -3)

   = (-5-1)/(2+3)

  - 6/5

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Answer: um

Step-by-step explanation:

The volume of the marbles is   26-20.9 = 5.1 l      and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie    .06 l/marble x 200 marbles = 12 liters

so he would only need  26-12= 14 liters of water to fill the tank !

Answer:

14 marbles

Step-by-step explanation:

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

Answer:

48 Chocolates

Step-by-step explanation:

Monday: 48

Tuesday: 24

Wednesday: 12

Thursday: 6

Friday: 3

Answer:

Step-by-step explanation:

10.

a. y=30x + 50

b. 30(2.5)+50= 125

c. y= 60x+100

d. 60(2.5)+100= 250

Answer:

10)

a) y = 50+30x

b) y=50+30(2.5)

       50+75 = 125

c) y = 2(50+30x)

d) y=2(50+30(2.5))

       2(50+75)

       2(125) = 250

13)

a) P = 2 ( L + W )

        10x+2

b) A = W L

        5x+1

c) for A its 15x+3 and for B its 54 x 2 + 18 x

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