By referring to the vertices state the angle highlighted in blue.

The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

[tex]\sum_{n=1}^{4} 3(4)^{n-1}[/tex]

By solving the above term;

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}[/tex]

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3[/tex]

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192[/tex]

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer:

1. 3 + 12 +48 + 192

2. 255 edge

Step-by-step explanation:

Answer:

12 1/6

It wants me to add more but there's nothing to add

Answer:

27/2 in^3 or 13.5 in^3 as a mixed fraction

Step-by-step explanation:

V=whl

Simplify the following:

(1 + 1/2) (2 + 1/4)×4

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(2/2 + 1/2) (2 + 1/4)×4

2/2 + 1/2 = (2 + 1)/2:

((2 + 1)/2) (2 + 1/4)×4

2 + 1 = 3:

3/2 (2 + 1/4)×4

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(3×4)/2 ((4×2)/4 + 1/4)

4×2 = 8:

(3 (8/4 + 1/4)×4)/2

8/4 + 1/4 = (8 + 1)/4:

(3×4)/2 ((8 + 1)/4)

8 + 1 = 9:

3/2×9/4×4

3/2×9/4×4 = (3×9×4)/(2×4):

(3×9×4)/(2×4)

(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:

(3×9)/2

3×9 = 27:

Answer: 27/2 or 13.5 as a mixed fraction

Answer:

x = 18

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 15 when x = 9 , then

15 = 9x ( divide both sides by 9 )

[tex]\frac{15}{9}[/tex] = x , that is

x = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of variation

when y = 30 , then

30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

90 = 5x ( divide both sides by 5 )

18 = x

Answer:

she should get in change $5.55

Answer:

the answer is 75%

each dot represents 25% of the data

Below 345 meters are 3 points

so, 3 * 25% = 75%

The distance from the United States to Europe is 5200miles.

We have given that the,

There is a map of the world on the wall in Mr. Smith's classroom.

The scale on the map

lists 1 inch to 400 miles.

On his map, Mr. Smith measured 13 inches between the United States and Europe.

The value of one inch is 400 miles.

We have to determine the 13 inches in miles

We have given that

1inch=400miles

Therefore multiply both side by 13 so we get

13inches=13(400)miles

             =5200miles

Therefore we get, the distance from the United States to Europe is 5200miles.

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Answer:

5200

Step-by-step explanation:

If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:

Distance in miles = Number of inches * Scale

Distance in miles = 13 inches * 400 miles/inch

Distance in miles = 5200 miles

Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.

Answer:

-3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1 so put you numbers in and you get

-6-6/-9+5

-12/4

and then -3

Answer:

-3

Step-by-step explanation:

[tex]y=mx+b[/tex] is equation of a straight line.

Here, the slope is m.

[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]

Answer:

12.5

Step-by-step explanation:

.25 x 50= 12.5

46204 ft³

Volume of cube: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of cylinder: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

For cube

For cylinder

Area of base:-

Volume:-

Volume of figure:-

Answer:

See below

Step-by-step explanation:

This will create a cylinder    volume = 1/2 pi  r^2 h = 1/2  pi  4  *  12

                                                            = 24 pi = 75.398 in^3

Answer:

Step-by-step explanation:

Answer:

2) -1, 0, 1, 2, 3, 4

3) 78, -2 , 1

Step-by-step explanation:

2) Substitute the x into the equation.

3) Substitute the 9 as the x value into the function so ([tex]9^2[/tex]) -3 = 78 etc.

Answer:

y-intercept = (-2,0)

Step-by-step explanation:

the "C" is the answer

Answer:

Step-by-step explanation:

22000-18700=3300

3300/22000x100=15%

Answer:

It is a 15 percent decrease

Step-by-step explanation:

Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.

Answer:

Step-by-step explanation:

Answer:

The radius is 4.5cm.

Step-by-step explanation:

Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:

C = pi•d OR

C = 2•pi•r

Since we are looking for radius, use the second formula.

C = 2•pi•r

28.26 = 2pi•r

Divide by 2pi.

28.26/2pi = r

r = 4.5

The radius is 4.5 cm.

Answer:

8a³b²c(9a²b - 4c)

Step-by-step explanation:

The GCF of 72 and 32 is 8.

72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)

Answer:

c = -13.78.

Step-by-step explanation:

21.2x + c  ≡ 5.3(4x - 2.6)

21.2x + c  ≡ 21.2x - 13.78

Equating constant terms:

c = -13.78.

Answer:

13.78

Step-by-step explanation:

21.2x + c = 5.3(4x - 2.6)

open the bracket

21.2x + c = 21.2x - 13.78

collect like terms

c + 13.78 = 21.2x - 21.2x

c + 13.78 = 0

c = -13.78

Hey there!

12 1/2 * 4

= 12 1/2 * 4/1

= 12 * 2 + 1 / 2 * 4/1

= 24 + 1 / 2 * 4/1

= 25/2 * 4/1

= 25(4) / 2(1)

= 100 / 2

= 100 ÷ 2 / 2 ÷ 2

= 50 / 1

= 50

EASIER UNDERSTANDING….

= 25 + 25 + 25 + 25 / 2 + 0

= 50 + 50 / 2 + 0

= 100 / 2

= 100 ÷ 2

= 50

Therefore, your answer is: 50

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

1 mile = 1.6 kilometers so 24*1.6 = 38.4
24 miles = 38.4 kilometers

1 kilometer = 1000 meters so 38.4*1000 = 38,400 meters
38.4 kilometers = 38,400 meters

1 hour = 60 minutes so 2*60 = 120
2 hours = 120 minutes

To calculate meters per minute, divide.
38,400 / 120 = 320

So that means that Calvin's approximate speed is 320 meters per minute.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the 2nd and 4th answers look good.  the 1st answer is correct as well.

To solve this look at the x axis and y axis,  the x axis is in inches, the y axis is in pounds.  So you know that as the distance increase per inch,  the force in pounds is increasing too.  

so the force applied is going up,   0.73 pounds , for each inch of travel ( or stretch) of the spring.  

Answer:

A=34 B=20

Step-by-step explanation:

A: y=6(5)+4 (34)

B: y=45-(9(2)+7)

y= 45-(18+7)

y=45-25 (20)

Answer:

The surface area of cone = 54π cm²

Step-by-step explanation:

Given ;

Radius = 3 cm

slant height = 15cm

The surface area of cone = πr ( r + l )

=> π × 3 ( 3 + 15)

=> π × 3 ( 18)

=> 54 π cm²

Answer:

Option a

Explanation :

check out my attached work

Hope it helps, let me know if you have any questions !

Have a nice rest of your day :)

Answer:

It is attached

Step-by-step explanation:

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

[tex]Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.[/tex]

Calculate -b/2a:

[tex]X = -(-8)/2(3)[/tex]

[tex]X = 8/6[/tex]

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

[tex]Y = 3x^{2} - 8x + 10[/tex]

[tex]Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10[/tex]

[tex]Y = \frac{48}{9} - \frac{64}{6} + 10\\[/tex]

This is equal to 4.66 reccuring.

Answer:

[tex]0 = log_{10} 1[/tex]

Step-by-step explanation:

Base for the exponent and for the logarithm are the same!

10^0 is the exponential form where 10 is the base and 0 the exponent

[tex]log_{10} 1[/tex] is the logarithm form where 10 is the base

To solve [tex]log_{10} 1 =[/tex]   ask the question :

To what power should I raise the base 10 to obtain the number 1 ?

The answer to the power 0 therefore

[tex]log_{10} 1 = 0[/tex]

[tex]1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form[/tex]