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Charra [1.4K]
2 years ago
14

A geodesic dome has a radius of 54 feet. What is the volume of the dome? Use 3.14 for pi.

Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Answer:

Modeling the dome as a hemisphere, V = 2/3 πr³ =  

(2/3)(3.14)(54 ft)³ = 629,624.64 ft³

Step-by-step explanation:

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prescription for marilyn jones piroxicam 20 mg capsule take 1 capsule 2 times a day how many milligrams mg will marilyn take of
fenix001 [56]

Answer:

\boxed{\text{3600 mg}}

Step-by-step explanation:

Step 1. Calculate the number of capsules

Marilyn takes 2 capsules per day

\text{No. of capsules} = \text{90 days} \times \dfrac{\text{2 capsules}}{\text{1 day}} = \text{ 180 capsules}

Step 2. Convert capsules to milligrams

There are 20 mg in each capsule.  

\text{No. of milligrams} = \text{180 capsules} \times \dfrac{\text{20 mg}}{\text{1 capsule}} = \textbf{3600 mg}\\\\\text{Marilyn will take } \boxed{\textbf{3600 mg}} \text{ of Pirixocam}

6 0
3 years ago
Which of the following is the general term for the sequence a, -a, a, -a, . . . ?
Nataly_w [17]

Answer:

a(-1)^(n-1).

Step-by-step explanation:

This is a Geometric Sequence with common ratio r = -1.

The general term is a(-1)^(n-1).

5 0
2 years ago
Graph this following function
Inessa05 [86]

Answer:

Please find attached the graph of the following function;

\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if  & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

8 0
3 years ago
Suppose that x and y vary inversely and that y = 5 when x = 1. What is y when x = 15?
LiRa [457]

Answer:

Y=1/3

Step-by-step explanation:

X=k/y

So let's make k the subject of formula

k=xy

x=1,y=5

So let's substitute

k=1×5

k=5

So we are to determine the value for y when x is 15

So let's solve

Y=k/x

Y=5/15

Y=1/3

Y=0.333333~0.3

7 0
3 years ago
Write algebraic expressions for each of the following: a. Multiply n by 5 then add 4. b. Add 4 to n then multiply by 5. c. Add 4
kirza4 [7]

Answer:

A. n5+4   B. (4+n)5  C.(4+n)/5    D.(n*n)3   E. (n*3)  2

Step-by-step explanation:

I am not good at explaining but for E. the 2 will be squared but I am not sure how to type it out so Hope this can help  ;)

6 0
3 years ago
Read 2 more answers
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