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tekilochka [14]
4 years ago
5

How do I solve this

Mathematics
1 answer:
Flauer [41]4 years ago
3 0
Volume of Cylinder  V₁ =πR². H

Volume of a cone  V₂ = (1/3).πR².h

We know that H=4h (given) &  R, the radius =75 &The total Volume = V₁+V₂,
We also know that the hopper has one cylinder & 2 equal cones
Hence
πR². H + 2 [(1/3).πR².h] =343,000 ft³
π(75)².H + 2[(1/3).π(75)².h] =343,000
But H = 4h, then
π(75)².4h + 2[(1/3).π(75)².h] =343,000. Solve for h
26250.π.h = 81,466.8.h = 343,000

& h=343,000/81,466.8, ==> h=4.16 ft & H =16.6 FT



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Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is
insens350 [35]

Answer:

The explicit form for this sequence is f(n)=f(1)-\frac{n-1}{10} for all n\geq 1.

Step-by-step explanation:

The explicit form of an arithmetic sequence  of numbers   is given by the formula  f(n)=f(1)+(n-1)d, where  f(1)  is the first term of the sequence,  d  is the difference between two consecutive terms of the sequence, and n\geq 1.

We know that  the first four elements for the arithmetic sequence are {f(1)=\frac{1}{5},f(2)=\frac{1}{10},f(3)=0, f(4)=-\frac{1}{10}}.

To find the general formula for this problem we only need to calculate d in the above formula.

For n=2, we have

f(2)=f(1)+(2-1)d=f(1)+d

if we replace f(1)=\frac{1}{5} and f(2)=\frac{1}{10} and solve for d we obtain  

\frac{1}{10}=\frac{1}{5}+d

d=\frac{1}{10}-\frac{1}{5}=-\frac{1}{10}

Therefore the explicit form is  f(n)=f(1)-\frac{n-1}{10} for all  n\geq 1.

7 0
3 years ago
Why is 4r + 5 = 3 not an algebraic expression?
saw5 [17]

4r + 5 = 3 is not an algebraic expression because expressions are basically equations but WITHOUT answers. In this equation, 3 is shown as the answer, which makes it an equation, not an expression.

Hope this helps! Please correct me if I'm wrong! :D

6 0
4 years ago
Inqualtites question<br><br>Complete the inequality expression that describes this set of numbers:
RideAnS [48]

Answer:

- 3 ≤ x < 0

Step-by-step explanation:

- 3 is included in the set thus x can equal - 3

- 3 is less than all other values in the set including the largest value of 0, thus

- 3 ≤ x < 0

3 0
3 years ago
Please help me I don’t understand this at all
Keith_Richards [23]

Answer:

A and D

option A is correct because if you do 4/5 times 2/2 you get 8/10

so that means they both are Equal.

option D is also correct

because

after 6/10 It’s 7/10, 8/10..

3 0
3 years ago
What is the measure of Arc ED in circle H? 98 POINTS!!
svlad2 [7]

Answer:

90°

Step-by-step explanation:

EG is a straight line

EG = EHD + DHG

DHG is a 90 degree angle

180 = EHD +90

Subtract 90 from each side

180-90= EHD +90-90

90 = EHD

The arc has the same measure as the angle since it is from the center

arc ED = 90

3 0
3 years ago
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