find the sum of the first 15 terms of the goemetric series 3+9+27

Answer:

The new volume is 7^3 or 343 times the old volume

Step-by-step explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume

Answer:

False. 0.17

Step-by-step explanation:

Answer: y + 5 = 2 ( x + 1 ) = 2 x − y + 2 = 5

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 3/2 = 1.50000

 y-intercept = -3/1 = -3.00000

Step-by-step explanation:

I hope this helped!

Answer:

5/2

Step-by-step explanation:

5/8 ÷ 1/4

= 5/8 × 4

= 5/2

Answer:

160

Step-by-step explanation:

add the numbers together then divide by 8

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

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Answer:

9:2

Step-by-step explanation:

Put in what we know

cars: motorcycles

9         2

Answer:20 apples

Step-by-step explanation:

30-10=20

Answer:

8 - 3.2m

10- 4m

7- 2.8m

5- 2m

Step-by-step explanation:

Aquí, podemos hacer los componentes en forma de relaciones para conocer la longitud equivalente de cada uno de los componentes a la longitud total de la pared.

Ahora usando los componentes en forma de proporciones, tenemos 8: 7: 10: 5. sumando todos los componentes juntos, tenemos; 8 + 7 + 10 + 5 = 30.

Para 8, tenemos 8/30 * 12 = 3.2 metros

para 7, tenemos 7/30 * 12 = 2.8 metros

Para 10, tenemos 10/30 * 12 = 4 metros

para 5, tenemos 5/30 * 12 = 2 metros

Answer:

Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.

Step-by-step explanation:

Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .

1 centimetre = 0.01 meters

65 centimetres = ? meters

cross multiply

65 × 0.01 = 0.65  meters

A centimetre is equal to  0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.  

The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.

Answer:

17.5

Step-by-step explanation:

First you need to put those numbers in order from least to greatest

second go from each side and count till you get to the middle 17 and 18

third add 17 + 18 = 35

fourth divid by 2 35/2 = 17.5

Hope this helps

Answer:

What’s the third length?..

Step-by-step explanation:

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

Answer:

(-2,1)

Step-by-step explanation:

The two equations cross at (-2,1). Hope this helps.

Answer:

mean  is 16

Step-by-step explanation:

to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.

17+21+14+17+12+15+16 = 112

then u see how many number there are and there are 7

112/7= 16

You need more information. Maybe a picture?

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Step-by-step explanation:

Answer:

B: x = -y+6

Step-by-step explanation:

Since y = x+6:

Bring x and y to their opposite sides:

x = -y+6

I hope this helps and plz mark me brainliest!!

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

[tex]A=\pi r^2[/tex]

Solve for r;

Divide by pi

[tex]r^2=\frac{A}{\pi}[/tex]

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

Answer:

3/4 or 3:4

Step-by-step explanation:

To express this as a ratio, we simply place 15 over 20

mathematically that would be;

15/20

divide numerator and denominator by 5

= 3/4

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

Answer:

The answer might be d.

Answer:

300 square units

Step-by-step explanation:

explanation-because i just know

Answer:

300

Step-by-step explanation:

300 is correct

Just got it correct on Edge IYI

Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: −37/4

Step-by-step explanation:

The area of a vertical cross-section through the center of the pool is 24 square feet for a cylindrical swimming pool having height of 4 feet and a circumference of  75.36 feet.

Area is the total space occupied by a 2D figure.

Given the following,

Height of the pool, h= 4 feet

Circumference of pool, C= 75.36 feet

C=2πrh

On substituting the values of h=4 and  π=3.14

[tex]75.36=2\times 3.14\times r\times 4\\\\[/tex]

[tex]r=\dfrac{75.36}{2\times 3.14\times 4}\\r=3[/tex]

Thus the given pool is of radius 3 feet.

Vertical cross-sectional area of a cylinder= Area of rectangle

Area of cross-section = Width*Height

Here for a cylindrical pool,

Width of cylindrical pool=2r=2*3

Width of cylindrical pool=6 feet

Height of cylindrical pool= 4 feet

Area of cross section =6*4

Area of cross section= 24 square feet

Thus, the cross-sectional area of a pool is 24 square feet.

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Answer:

16

Step-by-step explanation:

just use a mean absolute deviation calculator next time