Which equation represents the partial sum of the geometric series?

A. 125 + 25 + 5 + 1
B. 25 + 5 + 1 + one-fifth
C. 1 + one-fifth + StartFraction 1 Over 25 EndFraction + StartFraction 1 Over 125 EndFraction
D. StartFraction 1 Over 125 EndFraction + one-fifth + 5 + 125

Answer:

2144.66 cubic inches

Step-by-step explanation:

The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.

What is the closest value of water in the Fishbowl in cubic inches?

From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.

This means we are to find the volume.

The volume of a sphere is given as:

4/3πr³

We are given Diameter of the fish bowl = 16 inches

Radius = Diameter/2 = 16 inches/2

= 8 inches

Hence,

Volume of the sphere (Volume of water) = 4/3 × π × 8³

= 2144.66 cubic inches

Answer:

1,050 years

Step-by-step explanation:

A comet passes Earth every 70 years.

Another comet passes Earth

every 75 years

If both comets pass Earth this year, how many years

will it be before they both pass Earth on the same year again?

Find the lowest common multiple of 70 years and 75 years

70 years = 70, 140, 210 , 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260,

75 years = 75, 150, 225 , 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350

Lowest common multiple of 70 years and 75 years is 1,050 years

Therefore,

If both comets pass Earth this year, they both pass Earth the same year again in the next 1,050 years

9514 1404 393

Answer:

  see attachments

Step-by-step explanation:

The side lengths are found using the distance formula.

  d = √((x2-x1)^2 +(y2-y1)^2)

For example, the length of RS in the first triangle is ...

  d = √((4-(-1))^2 +(4-(-3))^2) = √(25 +49) = √74 ≈ 8.602

This same computation is used for all of the sides of the triangles. When the same tedious computation is repeated over and over, I like to use a spreadsheet to do it. In the attached spreadsheet the two points used are the one on the same line as the distance, and the one on the line below. Side lengths are shown in the attachment to 3 decimal places.

__

In order to classify the triangle as acute, right, or obtuse, we can compare the side lengths to those of a right triangle. For the purposes of computation in a spreadsheet, it is convenient to compute the middle length side of a right triangle that has the same longest and shortest sides as the triangle we have.

If the computed side is longer than the actual middle side, then the triangle we have is obtuse. If it is shorter, the triangle we have is acute. If it is exactly the same, then the triangle we have is a right triangle.

In every case here, the computed middle side is shorter than the actual middle-length side, so all of the triangles are acute triangles. (The one of problem 39 is isosceles, since two sides are the same length. The others are scalene.)

__

The triangles are graphed in the second attachment.

  problem 38: RST

  problem 39: ABC

  problem 40: DEF

Answer:

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

x

=

20

−

2

y

Answer:

r = 10

y = 11

Step-by-step explanation:

4y = 40 + 4

4(r + 1) = 40 + 4

4(r) + 4(1) = 40 + 4

4r + 4 = 40 + 4

4r + 4 = 44

4r + 4 - 4 = 44 - 4

4r = 40

4r ÷ 4 = 40 ÷ 4

r = 10

-----------------------------------------

y = r + 1

y = (10) + 1

y = 11

-----------------------------------------

4y = 40 + 4

4(11) = 40 + 4

4(11) = 44

44 = 44

Answer:

12

Step-by-step explanation:

[tex]6y \geqslant 72 \\ divide \: both \: side \: by \: 6 \\ y \geqslant \frac{72}{6} \\ y \geqslant 12[/tex]

Answer:

6y > 72

Inequality Form: y > 12

Interval Notation: (12,infinite loop)

I have answered have a good day.

Answer:

B) n ≥ -20

Step-by-step explanation:

n/4 ≥ -5

n ≥ -20

Answer:

Shifted by 6 units left on the x-axis.

Step-by-step explanation:

Given function is,

f(x) = 5ˣ + 1

After transformation, this function becomes g(x) = [tex]5^{(x+6)}+1[/tex]

Here, g(x) = f(x + 6)

By the rule of transformation,

Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.

Answer:

b

Step-by-step explanation:

Since the order is important, as there are different roles, a permutation is used, hence option B is correct.

In this problem:

Hence the order is important, which means that it is a permutation.

More can be learned about the combination and permutation at https://brainly.com/question/25821700

Answer:

86 shots

Step-by-step explanation:

Answer:

The age which occurs most often is 45 with a frequency of 3

Step-by-step explanation:

Given the data :

33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38

Using the line graph plotter

Answer:

total plane weight with 82gallons fuel is 2424.80 lbs.

Answer:

12x² - x - 20 = (4x+5)(3x−4)

Step-by-step explanation:

[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Answer:

14k

They both have the same variable, so use the communitive property and there is your answer!

Answer:

4.76%

Step-by-step explanation:

A jar will hold 252 grams of powder

The label shows that its contains 240 grams

Therefore the percent error can be calculated as follows

= 240-252/252 × 100

= -12/252 × 100

= 0.0476 × 100

= 4.76%

Hence the percent error is 4.76%

Answer:

590 ft²

Step-by-step explanation:

11+5+11+5=32

32x15=480

5x11x2=110

480+110=590

Answer:

A + 12 > 21

Step-by-step explanation:

This means the sum of salem and his cousin's age should be bigger than 21 years.

Answer:

I think its 5.6%

Step-by-step explanation:

20% of 28% is 5.6%

if its multiple choice that would help but that's my best guess

do you have a picture with it??

Answer:

Step-by-step explanation:

A wall is rectangular in shape. The area of a shape is used to determine the amount of space taken up by a 2Dimensional or surface.

So, the area of the wall will help determine the amount of space the paint will take.

Answer:ummmmm

Step-by-step explanation:

t

Answer:

your answer will be 0.75

Step-by-step explanation:

hope it helps

have a nice day!!

I will do it in a way that can solve all these kinds of problem.

Of course, you can just substitute every possible answer in and see which one has the highest y value.

BUT I'm going to do this question by completing the square.

First organize the equation by decreasing degrees.

y=-16t^2+32t

Now factor out a -16 to make the x variable have no coefficient.

y=-16(t^2-2t)

Now complete the square.

y=-16(t-1)^2+16

By this if you graph it its the parent graph y=x^2, its a reflection over x axis by the negative sign at the beginning, then a vertical stretch by 16, and then go to the right by 1 then up by 16. This meant that the vertex is (0,0) go right 1 and up 16.

The vertex or the highest point of the graph is point (1,16) This also meant that its after 1 second at 16 feet height. The answer is B.

Answer:

there's nothing there you have to insert a file

Step-by-step explanation:

Answer:

3a. Angles q,r, and u are 105 degrees.

 b. Angles p,s, and t are 75 degrees.

Step-by-step explanation:

Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.

Hope this helps:)

Answer:

yes

Step-by-step explanation:

Answer:

yes. 81+51+48 = 180

I hope this helps

Answer:

The true statement of the area of the piece of land is;

(C) It is between 0.0007 and 0.007 square mile

Step-by-step explanation:

Using scientific notation, we have the value of a measurement presented as follows;

c × 10ⁿ = ce±n

Where;

c = The coefficient number, less than 10

en = 1 × 10⁺ⁿ

e-n = 1 × 10⁻ⁿ

Therefore, the given number, 7.4 e - 4, can be expressed as follows;

7.4 e - 4 = 7.4 × 10⁻⁴ = 0.00074

0.00074 ≈ 0.0007 and we have;

0.0007 < 0.00074 < 0.007

The correct option is therefore that it is between 0.0007 and 0.007 square mile

The statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074

The standard form for writing scientific notation is given as A * 10^n

Writing this as a standard value will give:

Hence the statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074

Learn more on scientific notation here: https://brainly.com/question/13526198

Answer:

Kindly check explanation

Step-by-step explanation:

From the question :

Duration, time, t = 3 minutes, 27 seconds = (3 * 60) + 27 = 207 seconds

Average speed = 15 km/h = (15*1000) /3600 = 4.16666 m/s

Let distance = x

Recall:

Speed = distance / time

Distance = speed * time

x ≤ (speed * time)

x ≤ (4.16666 * 207)

x ≤ 862.5 m

x ≤ (862.5 / 1000) km

x ≤ 0.862.5 km

Answer:

The point of intersection is at (2,3)

Step-by-step explanation:

Answer:

A.) Angle CAD

Step-by-step explanation:

Hope this helps! :)