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.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

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:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)

Answer:

[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]

Step-by-step explanation:

Hi there!

[tex]h(x) = x^2-5x + 7[/tex]

First, find h(-8) by replacing all of [tex]x[/tex] with -8:

[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]

Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:

[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]

I hope this helps!

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

Answer:

5

Step-by-step explanation:

12 - 7 = 5

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

Answer:

d1 = -1.5

dn = dn-1 *-4

Step-by-step explanation:

-1.5, 6, -24,96

The first terms is d1

d1 = -1.5

To find the common ratio divide the second term by the first term

6/-1.5 = -4

Check 6*-4 = -24

-24*-4 = 96

dn =dn-1 * -4

Answer:

D (1) = -1.5        

D (n)= dn-1 *-4

Step-by-step explanation:

I know ;) hope this helps.

Answer:

B:

4 units right and six units up

Answer:

35, 36, 37, 38, 39, 41, 42, 43 and 44

Step-by-step explanation:

Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Answer:

x=3

Step-by-step explanation:

Step 1: you have to replace y with x-6 to make it all one equation (as seen in the picture below)  

Step 2: write it all together so: x-6= -2x+3

Step 3: add 2x on both sides to cancel out the negative so: x+ 2x and -2x+2x

Step 4: add 6 on both sides to cancel out the negative so: -6+ 6 and 3+6

Step 5: divide 3 by 3x and 9 to get x

Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

its 7.2

find the distance using the formula

square root ((y2-y1)^2+(x2-x1)^2)

hope that answers your question.

comment for more explanation

Answer:

-4

Step-by-step explanation:

please tell me if u need explaination

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are green in any season

3rd- Amazon forest - in Amazon forests there are many venomous/ poisonous amphibians and stuff like anacondas and wild animals.

Step-by-step explanation:

so sorry this is all i could find

Answer:

c) 6

Step-by-step explanation:

18 divided by 3 is 6

30 divided by 5 is 6

Answer:

C: 6

Step-by-step explanation:

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

Since (-4, -2.4) becomes (4, -2.4)  The x values changes sign.  It is a reflection  across the y axis

Answer:

C

Step-by-step explanation:

Answer:

because any number over 0 is 0 and if   |abcd|=1 that it is not possible to be 0

Step-by-step explanation:

Answer:

You can check if an equation is true for all some or no values of x by simply to  try and solve the equation if you get something like x = x, then the equation  is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.  

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

111

Answer:

1) 12

2) 72

Step-by-step explanation:

1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.

2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.

Answer:

1. 12 children

2. 72 minutes

Step-by-step explanation:

1. Find the GCF of 36 and 24, which is 12

2. Find the LCM of 18 and 24, which is 72

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

To learn more about the area on the map

https://brainly.com/question/24103758

#SPJ2

Answer:Can't see the question

Step-by-step explanation:

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

Answer:

17 rojo

51 amarillo

en el dibujo son 11 rojos y 33 amarillo

Step-by-step eplanation:

Answer:

probably first one but i might be wrong

Step-by-step explanation:

if it has line under its filled circle and the direction the point is facing is where line goes

Answer:

1

Step-by-step explanation: