Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?

Answers

Answer 1

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

We can model this as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common difference)

Given information:

Miles run in first week = 8Weekly increase of miles = 5%Total number of weeks in plan = 19

Therefore:

[tex]a[/tex] = 8[tex]r[/tex] = 1.05[tex]n[/tex] = 19

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 19 terms:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

So Levi ran a total of 244 miles (to the nearest whole number)


Related Questions

A standard number cube is tossed. Find P(2 or even)

Answers

Answer:

1/2

Step-by-step explanation:

there are 3 even numbers including 2. there are 6 possible outcomes. 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

What is the value of y??

Answers

Answer:

3

Step-by-step explanation:

The opposite sides are equal

2y+ 4  = 10

2y = 6

y = 3

Which statement about 6x2 7x – 10 is true? one of the factors is (x 2). one of the factors is (3x – 2). one of the factors is (2x 5). one of the factors is (x – 5).

Answers

One of the factors of the given quadratic expression is (x+2).

The given quadratic expression is:

[tex]6x^{2} +7x-10[/tex]

What is a quadratic expression?

Any expression of the form [tex]ax^{2} +bx+c[/tex] is called a quadratic expression where a≠0.

Splitting the middle term of the given expression

[tex]6x^{2} +12x-5x-10[/tex]

[tex]6x(x+2)-5(x+2)[/tex]

[tex](x+2)(6x-5)[/tex]

Hence, one of the factors of the given quadratic expression is (x+2).

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If the slope of a line is 0, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answers

When the slope is 0

it is in a horizontal positionthe rise is zero, same from left to right; right to left

This picture below shows some examples of equation with slope as 0

Answer:

horizontal

rise remains conserved

Step-by-step explanation:

Slope is 0

means

[tex]\\ \rm\dashrightarrow tan\theta=0[/tex]

[tex]\\ \rm\dashrightarrow \theta=tan^{-1}(0)[/tex]

[tex]\\ \rm\dashrightarrow \theta=0°[/tex]

Line will be parallel to x axis

2. 5 kg of potatoes cost £1. 40
workout the cost of 4. 25 kg of potatoes

Answers

2.5/ 1.4 = 4.25 / x

Cross multiple

2.5x = 4.25* 1.4
2.5x= 5.95
X= 2.36

5 star?

A company sells cocoa powder in a cylindrical container that is 5 inches long with a circular base of diameter 4 inches. The company is planning to sell a family-size product that will use similar packaging scaled by a factor of 2.


The circumference of the original container is (62.8, 15.7, 12.57, 6.28)

inches. This is (18.84, 9.42, 37.68, 12.57)

inches less than the circumference of the new container.

Answers

The circumference of the original container is 12.57 inches.

The cirucmference of the original container is 12.57 inches less than the circumference of the new container.

What is the circumference of the cylinder?

The circumference of a cylinder is the distance round the cylinder. It is the perimeter of the cylinder.

The circumference of a cylinder = πD

Where:

π = 22/7D = diameter

The circumference of the original container = 22/7 x 4 = 12.57 inches

The circumference of the family sized container 12.57 x 2 = 25.14 inches

Difference in the circumference = 25.14 - 12.57 = 12.57 inches

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Answer: 12.57 for both

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

What is the axis of symmetry for y=8x² + 2x - 6?​

Answers

answer is x= - 1/8. see image for methods

Express -48 by 60 as a rational number with denominator 25 pura Karen​

Answers

Answer:

  -20/25

Step-by-step explanation:

To change a fraction to one with a different denominator, common factors can be removed or added to numerator and denominator as required.

__

-48/60 can be reduced to lowest terms by removing the common factor of 12. It can be made to have a denominator of 25 by adding a common factor of 5.

  [tex]-\dfrac{48}{60}=-\dfrac{4\cdot12}{5\cdot12}=-\dfrac{4}{5}\\\\=-\dfrac{4\cdot5}{5\cdot5}=\boxed{-\dfrac{20}{25}}[/tex]

__

Alternatively, the numerator of the desired fraction can be found by multiplying the given fraction by the desired denominator.

  numerator = 25×(-48/60) = -1200/60 = -20

  new fraction = -20/25

A ladder 15 feet long leans against a house and makes an angle
of 60° with the ground. Find the distance from the house to the
foot of the ladder.
A 13 feet
)
B 7.5 feet
C 10 feet
D
8.2 feet

Answers

Answer:

B

Step-by-step explanation:

assume a right angle between the house and the ground.

then the ladder is the hypotenuse and distance from ladder to house is d

using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{d}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 15 ( divide both sides by 2 )

x = 7.5

distance from house to foot of ladder is 7.5 feet



99 like Sorbet
94 like Rocky Road and Berry
96 like Rocky Road
96 like Sorbet and Berry
99 like Berry
93 like all three
95 like Sorbet and Rocky Road

How many people prefer:
(a) none of the three?
(b) Sorbet, but not Rocky Road?
(c) Anything but Berry?
(d) only Rocky Road?
(e) Exactly two kinds of ice cream?
WILL GIVE BRAINLIEST PLLSSSS!!!!!

Answers

Answer:

b

Step-by-step explanation:

Find the volume of the sphere, round your answer to the nearest tenth

Answers

Answer:

904.8 units^3

Step-by-step explanation:

The formula for the area of a circle is [tex]4/3 \pi r^3[/tex]

By the picture we know r = 6

Thus our answer is 4/3 * π * [tex]6^3[/tex]

This is the same as 4/3 * 216 * π = 904.778684234

Rounding to the nearest tenth yields 904.8 units^3

What is the missing term?

Answers

Answer:

-2x

filler filler filler

Can someone please explain 3 and 4 to me? I don’t understand how to solve them

Answers

Answer:

see explanation

Step-by-step explanation:

3)   line l and m are perpendicular so they intersect at 90 degrees

I labelled the angles that are the same measure.

2x + 23 = 90    subtract 23

2x = 67             divide by 2

x = 23.5 degrees

4) 2m + 66 = 120  subtract 66

2m = 54                 divide by 2

m = 27 degrees

A carpenter has to cut four lengths of wood, each 128cm long. What is the total length of wood that he needs?

Answers

Answer:

512cm

Step-by-step explanation:

same length of 128 4 times. 512

Look at the equation.
X-3 = 12
Which value of x makes this equation true?
4
(b9
с
15
d) 36

Answers

Answer:

c) 15

Step-by-step explanation:

Plugging in the value of x as 15 in the equation,

15-3 which is equal to 12

How do you find the measure of angle A?

Answers

Answer:

m∠A = 18

Step-by-step explanation:

Formula:

the sum of the interior angles of a triangle is 180.

____________________

According to the formula :

    [tex]m\angle A\ +\ m\angle B\ +\ m\angle C=180[/tex]

⇔ x - 22  +  3x + 19  +  x - 17 = 180

⇔ 5x + (19 - 17 - 22) = 180

⇔ 5x + (2 - 22) = 180

⇔ 5x - 20 = 180

⇔ 5x = 180 + 20

⇔ 5x = 200

[tex]\Leftrightarrow x = \frac{200}{5} \\\Leftrightarrow x = 40[/tex]

Conclusion:

m∠A = x - 22 = 40 - 22 = 18

Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
4
4(1.4)
2
N(2.0)
14
-2
x
(Pl-1, -2)
M(4,0)
The perimeter is about
units.

Answers

Check the picture below, now the distance from 2,0 to 4,0 there's no need to do much calculation since that's just 2 units, as you see there.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) ~\hfill d1=\sqrt{[ 1- 2]^2 + [ 4- 0]^2} \\\\\\ d1=\sqrt{(-1)^2+4^2}\implies \boxed{d1=\sqrt{17}} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill d2=\sqrt{[ -1- 1]^2 + [ -2- 4]^2} \\\\\\ d2=\sqrt{(-2)^2+(-6)^2}\implies \boxed{d2=\sqrt{40}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) ~\hfill d3=\sqrt{[ 4- (-1)]^2 + [ 0- (-2)]^2} \\\\\\ d3=\sqrt{(4+1)^2+(0+2)^2}\implies \boxed{d3=\sqrt{29}}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~ + ~~\sqrt{17}~~ + ~~\sqrt{40}~~ + ~~\sqrt{29}~~\approx~~17.83}[/tex]

The perimeter of the polygon with the vertices L = (1, 4), P = (-1, -2),

N = (2, 0) and M = (4, 0) is approximately 17.93 units.

We have,

The polygon has the following sides:

LP, PN, NM, and ML.

The coordinates for each point are:

L = (1, 4)

P = (-1, -2)

N = (2, 0)

M = (4, 0)

The perimeter of the polygons.

= LP + PN + NM + ML

Using the distance formula for the distance between two points (a, b) and (c, d):

Distance = √((c - a)² + (d - b)²)

Let's calculate the distances between the points:

LP:

Distance(LP)

= √((-1 - 1)² + (-2 - 4)²)

= √((-2)² + (-6)²)

= √(4 + 36)

= √40

= 6.32

PN:

Distance(PN)

= √((2 - (-1))² + (0 - (-2))²)

= √((2 + 1)² + (0 + 2)²)

= √(3² + 2²)

= √(9 + 4)

= √13

≈ 3.61

NM:

Distance(NM)

= √((4 - 2)² + (0 - 0)²)

= √(2² + 0²)

= √4

= 2

ML:

Distance(ML)

= √((4 - 1)² + (0 - 4)²)

= √((4 - 1)² + (-4)²)

= √(3² + 16)

= √(9 + 16)

= √25

= 5

Now,

Perimeter = LP + PN + NM + ML

Perimeter ≈ 6.32 + 3.61 + 2 + 5 ≈ 16.93

Thus,

The perimeter of the polygon is approximately 17.93 units.

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Factor the following expression using the greatest common factor 18a+24c

Answers

Step-by-step explanation:

divide each by six

3a+4c

Answer:

6(3a+4c)

Step-by-step explanation:

GCF = 6

18a/6+24c/6

= 6(3a+4c)

Is it possible that a packet of candies does not divide into 9 equal parts, but rather divides into 3 equal parts? Give an example with your answer.​

Answers

Answer:

Yes, if there are 6 candies it can be divided equally by 3 and not 9.

Step-by-step explanation:

Using the tools from before, what is the theoretical probabilty of spinning an even number and rolling an odd number?

Answers

Roll two dice. Look at one die and note whether the “up” face is odd or even. If odd, there are 3 of the 6 faces

In triangle ABC, m∠ A = 45˚ and a = c. Which best describes triangle ABC? *

Answers

C keep it up bro peace d

Four more than three times a number x is 48

Answers

48-4=44
44/3=14 2/3

14 2/3 is your answer.

The graph and the table below show the relationship between y, the total cost, and x, the number of loads washed, at two laundromats.

Answers

Well this is simple. When ever it comes to a question about finding a variable (y), you always have to think about the original equation of the line. In this example since the line is straight, it is then: y=mx+c.
The information from the table will be used, subtraction will be done to find the equations for both tables which are.
Table 1 (line graph): y= 3/2x
Table 2: y= 5/4x.
What to do now is to substitute x=12 in both equations which are
Y=3/2(12)
=18
Y=5/4(12)
=15
Finally since we are finding the difference. 18-15=$3

Some of the dimensions of a square pyramid are shown in the diagram. The height of the square pyramid is 5.1 meters.

What is the volume of the square pyramid in cubic meters?

60 m3

40 m3

360 m3

120 m3

Answers

Answer:

27.2 m³

Step-by-step explanation:

Given:

Base edge = 4 mHeight = 5.1 meters

Formula:

[tex](\text{Base edge})^{2} \times \dfrac{\text{Height}}{3}[/tex]

Replace the base edge and the height in the formula:

[tex]\implies (\text{4})^{2} \times \dfrac{\text{5.1}}{3}[/tex]

Evaluate the volume of the prism:

[tex]\implies (\text{4})(4) \times 1.7[/tex]

[tex]\implies 16 \times 1.7[/tex]

[tex]\implies 27.2 \ \text{m}^{3}[/tex]

Answer:

27.2 cm³

Step-by-step explanation:

Volume of a square pyramid

[tex]\sf V=\dfrac13a^2h[/tex]

where:

a is the base edgeh is the height

Given:

a = 4 mh = 5.1 m

[tex]\sf \implies Volume=\dfrac13\cdot 4^2\cdot5.1=27.2\;cm^3[/tex]

Estimate the value Square Root 49 to your best judgement and explain why

Answers

V49 = 7 because 7²=49?

.........

6-8x=7x-9x-36 i really need help

Answers

Answer:

Simplifying

6 + -8x = 7x + -9x + -36

Reorder the terms:

6 + -8x = -36 + 7x + -9x

Combine like terms: 7x + -9x = -2x

6 + -8x = -36 + -2x

Solving

6 + -8x = -36 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

6 + -8x + 2x = -36 + -2x + 2x

Combine like terms: -8x + 2x = -6x

6 + -6x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0

6 + -6x = -36 + 0

6 + -6x = -36

Add '-6' to each side of the equation.

6 + -6 + -6x = -36 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -36 + -6

-6x = -36 + -6

Combine like terms: -36 + -6 = -42

-6x = -42

Divide each side by '-6'.

x = 7

Simplifying

x = 7

Answer:

x = 7

Hope This Helps! :) Please Give brainliest if you can!

Aaron was plotting the shape of his garden on grid paper. While it was an irregular shape, it was perfect for his yard. each square on the grid represents 1 square meter. What is the area of the garden?

pls, add an explanation as well as an answer, i wont open any links, thanks :)

Answers

Answer:

44 [tex]m^{2}[/tex]

Step-by-step explanation:

As the shape contain triangle ,rectangle and square so we calculate the area of all these and then add up.

As one box = 1 [tex]m^{2}[/tex]

Area of Triangle= [tex]\frac{1}{2}*b*h[/tex]

b= 8, h=2

Area of Triangle= [tex]\frac{1}{2}*8*2[/tex]

Area of Triangle= [tex]8 m^{2}[/tex]

Area of Rectangle= [tex]l*w[/tex]

l=8,w=4

Area of Rectangle= [tex]8*4\\[/tex]

Area of Rectangle= [tex]32m^{2}[/tex]

Area of Square=[tex]a^{2}[/tex]

a=2

Area of Square=[tex]2^{2}[/tex]

Area of Square=[tex]4m^{2}[/tex]

Total Area=[tex]8 m^{2}[/tex]+[tex]32m^{2}[/tex]+[tex]4m^{2}[/tex]=44[tex]m^{2}[/tex]

What life cycle adaptation allows a seahorse to make lots of babies in a short amount of time? (2 points)


a seahorse


Group of answer choices


The female hatches the eggs in the sand while the male gets rid of predators.


The female hatches the eggs in the sand while the male protects them.


The male carries the babies while the female makes more eggs.


The male makes more eggs while the female carries the babies

Answers

The seahorse make a lot of babies because the male carries the babies while the female makes more eggs.

What is mating?

Mating is the process in which opposite or hermaphroditic organisms pair for reproduction.

During mating between the male and female seahorse mates, the female seahorse puts her eggs in the male pouch and the male fertilises the egg in his pouch. The eggs develop into baby seahorse in the father pouch.

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Find the median of the data.

24,74,61,29,38,27,68,54

Answers

Answer:

The median is 46

Step-by-step explanation:

To find the median, you must first order the numbers, from left to right, lowest to highest:

24, 27, 29, 38, 54, 61, 68, 74

Next, we have to find the number in the middle. We can do this by counting inwards one and crossing out each of the lowest and highest each time we get closer to the middle/center.

24, 27, 29, 38, 54, 61, 68, 74

   ,  27, 29, 38, 54, 61, 68,    

   ,      , 29, 38, 54, 61,      ,    

   ,      ,      , 38, 54,     ,      ,    

Now, if there is no exact middle, we would add them add divide by 2. If there was an exact middle, that would be the answer. But there isn't.

38 + 54 = 92

92 / 2 = 46

The median is 46

What is the answer
5 3/5 - 3 14/16

Answers

Answer:

138/80

Step-by-step explanation:

5×5+3/5-3×16+14/16

28/5-62/16

28×16/5×16-62×5/16×5

448/80-310/80

448-310/80

138/80

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