Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Base diameter if cylinder = 12 ft

To find :-

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

answer

f(-5)=115

Step-by-step explanation:

x+5=0

x=-5

f(x)=3x^2-7x+5

f(-5)=3*(-5)^2-7(-5)+5

f(-5)=3*25+35+5

f(-5)=115

The expression (36m ÷ 9m) is equivalent to 4.

Given is the following division as follows -

(36m ÷ 9m)

We have the following expression -

36m ÷ 9m

So, we can write -

(36m/9m)

36/9

4

Therefore, the expression (36m ÷ 9m) is equivalent to 4.

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Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

Answer:

Answer is 18

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

the question on top is right

Step-by-step explanation:

Answer:

S = 4a

Step-by-step explanation:

Rosa saves three times as much money as Anna. If a represents Anna's savings, which relationship shows how much money they have saved,

together?

Let

S = Total money they have saved,

together

a = Anna's savings

Rosa saves three times as much money as Anna

Rosa = 3 * a

= 3a

Total savings = Anna's savings + Rosa's savings

S = a + 3a

S = 4a

Step-by-step explanation:

x²– 8x - 7 = 0

(x²-8x+16) -7 = 16

(x²-8x+16) = 16+7

(x-4)² = 23

x-4 = √23

so x= 4+√23 or x= -4√23

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (1)

x + 2y = 9 → (2)

Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term

- 3x - 6y = - 27 → (3)

Add (1) and (3) term by term to eliminate x

0 - 3y = - 9

- 3y = - 9 ( divide both sides by - 3 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(3) = 9

x + 6 = 9 ( subtract 6 from both sides )

x = 3

solution is x = 3, y = 3

Answer:

x = 3 , y = 3

Step-by-step explanation:

Dividing (1) by 3 : x + y = 6 --(3)

                                  x = 6 - y --(3)'

Substituting (3)' into (2),

(6 - y) + 2y = 9

6 - y + 2y = 9

             y = 3 -- (4)

Substituting (4) into (3),

x + 3 = 6

     x = 3 -- (5)

According to (4) and (5),

x = 3 , y = 3

Answer:

the ball's momentum is 10 × 1.5 = 15 kg m/s

Step-by-step explanation:

Answer:

The percent increase in pay is 50%.

Step-by-step explanation:

We need to find the percent increase from $24 to $36.

To solve this, we first must ask ourselves the question

36 is what percent of 24?

Y = P% of 24

36 = X · 24

To get X alone, we divide 36 by 24. That's 1.50. So now we know 36 is 150% of 24. Knowing 24 is 100%, we can find the percent increase. Well, how do we get from 100% (24) to 150% (36)? By increasing by 50%. Therefore, the percent increase in pay is 50%.

Answer:

If you want to know what b is then it is 16

Step-by-step explanation:

38 + b = 54

54- 38 = 16

38 + 16= 54

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

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21.5

Answer:

Lol its just 48 divided by 2/3 and u get 72

Step-by-step explanation:

If you can give Brainiest answer it would be much help :)

Answer:

Hello! answer: 154

Step-by-step explanation:

In the picture shown I found the area of each shape now I just have to add it up for the total so... 64 + 24 + 54 + 12 = 154 therefore the area is 154 hope that helps

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

[tex]7c+3l=9.8p[/tex]

5 liters - 9 cups = 6 pints

[tex]5l+9c=6p[/tex]

Cups and Liters

[tex]7c+3l=9.8p[/tex]

[tex]p= 7c+3l/9.8[/tex] (put in equation 2)

[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]

[tex]l=9.8p-7c/3[/tex](put in equation 2)

[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]

1 Pint = 2 Cups.

Step 3:

Pints and Liters

[tex]7c=9.8p-3l[/tex]

[tex]c=9.8p-3l/7[/tex](put in equation 2)

[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]

​1 Liter = 2.1 Pints.

Answer:

[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]

Step-by-step explanation:

To get a scale of inches to feet, divide both 54 and 6 by 54:

[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]

Answer:

2353

Step-by-step explanation:

7^2+48^=2353

Answer:

65.45 feet

Step-by-step explanation:

According to the Question,

Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .

(Please find Diagram in Attachment)

So, By Phythagoras Theorem,

AC² = BC² + AB²

X² = 37² + 54²

X² = 4285 ⇔ √4285 ⇒ 65.45 feet

[tex] \sqrt{x { }^{2} -6x + 9} [/tex]

Given x>3 i.e. 4

√4^2 -6*4+ 9

√16 -24 + 9

√25-24

√1

Answer:

240.

Step-by-step explanation:

200 * 6/5

= 1200/5

= 240