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4 years ago

99 points and brainliest if correct with work shown!

Mathematics

2 answers:

Aleks04 [339]4 years ago

8 0

Question:

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?

Answer:

D) 1047.2

docker41 [41]4 years ago

4 0

Volume of the cone: 1/3 of area of the circle * the height
(1/3)π5²*5=(125/3)π
volume of the cylinder: area of the circle *the height: π5²*10=250π
add up: (125/3)π+(125/3)π+250π≈1047.2
D is the correct answer

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What is the sum of the infinite geometric series represented by?

ExtremeBDS [4]

Answer:

B. 360 hope it helps

faze up

4 0

3 years ago

"(b) use part (a) to find a power series for f(x) = 1 (4 + x)3 ."

Firdavs [7]

Assuming

$f(x)=\dfrac1{(4+x)^3}$

Recall that for $|x|$ ,

$\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}$

Denote the above by $s(x)$ . Then

$s'(x)=\displaystyle\sum_{n\ge1}nx^{n-1}=\frac1{(1-x)^2}$
$s''(x)=\displaystyle\sum_{n\ge2}n(n-1)x^{n-2}=\frac2{(1-x)^3}$

Now,

$\dfrac1{(4+x)^3}=\dfrac1{4^3}\dfrac1{\left(1-\left(-\frac x4\right)\right)^3}=\dfrac1{2^7}\dfrac2{\left(1-\left(-\frac x4\right)\right)^3}$

which means we have

$f(x)=\dfrac1{2^7}s''(x)=\dfrac1{128}\displaystyle\sum_{n\ge2}n(n-1)\left(-\frac x4\right)^{n-2}$

which is valid for $\left|-\dfrac x4\right|$ , or $|x|$ .

4 0

3 years ago

For a school play, Rico bought 3 adult tickets and 5 child tickets for $40. Sasha bought 1 adult ticket and 5 child tickets for

Serhud [2]

The cost of one adult ticket is $7.5 and one child ticket is $3.5

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+5y=40 Eqn 1

x+5y=25 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(3x+5y)-(x+5y)=40-25\\3x+5y-x-5y=15\\2x=15$

Dividing both sides by 2

$\frac{2x}{2}=\frac{15}{2}\\x=7.5$

Putting x=2.5 in Eqn 1

$3(7.5)+5y=40\\22.5+5y=40\\5y=40-22.5\\5y=17.5$

Dividing both sides by 5

$\frac{5y}{5}=\frac{17.5}{5}\\y=3.5$

The cost of one adult ticket is $7.5 and one child ticket is $3.5

5 adult tickets = 5*7.5 = $37.5

3 child tickets = 3*3.5 = $10.5

Total = 37.5+10.5 =$48

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

4 years ago

Given

DochEvi [55]

Answer:

first option

Step-by-step explanation:

${x}^{3} + 1 - (x - 1) \\ {x}^{3} + 1 - x + 1 \\ {x}^{3} - x + 2$

4 0

3 years ago

Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p

Zinaida [17]

Answer:

£9.80

Step-by-step explanation:

The calculation of the total value is given below:

Provided that that

The value of 20p coins is £2.80

So 1p = £2.80 ÷ 20

= £0.14

For 50p it would be

= £0.14 × 50

= £7

Now the total value is

= £2.80 + £7

= £9.80

3 0

3 years ago