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zaharov [31]
3 years ago
8

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

44,826.72\ \text{pounds}

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3

If water weighs 62.4 pounds per cubic foot, it means

V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}

So, the total weight of the water is 44,826.72\ \text{pounds}.

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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
Dovator [93]

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form  ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}

where

The <u>discriminant</u> of the <u>quadratic equation</u>  is equal to

b^{2}-4ac

if  (b^{2}-4ac)> 0 ----> the <u>quadratic equation</u> has two <u>real roots</u>

if  (b^{2}-4ac)=0 ----> the <u>quadratic equation</u> has one <u>real root</u>

if  (b^{2}-4ac)< 0 ----> the <u>quadratic equation</u> has two <u>complex roots</u>

in this problem we have that

the <u>discriminant</u> is equal to -8

so

the <u>quadratic equation</u> has two <u>complex roots</u>

therefore

the answer is the option A

There are two complex roots

5 0
3 years ago
Read 2 more answers
Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They wi
Kobotan [32]

Answer:

The value of the expected profit from the concert is 8,910

Step-by-step explanation:

Profit on a clear day X₁ = 36,000 with  13% probability.  

i.e  X₁ = 36000

    P(X₁) = 0.13

Profit on a cloudy day = 17,000 with 39% probability.

i.e  X₂ = 17000

    P(X₂) = 0.39

else,

loss of 5,000 if it rains with the probability of 48%.

i.e  X₃ = 5000

    P(X₃) = 0.48

The value of the expected profit from the concert is obtained as follows

Expected Value = (36,000*0.13) + (17,000*0.39) - (5,000*0.48)

                           = 4,680 + 6,630 - 2,400

                           = 8,910

8 0
3 years ago
PLEASE HELP ASAP 50 POINTS
Tomtit [17]

Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

8 0
3 years ago
Read 2 more answers
How do you do this? Thanks for your time and effort!
joja [24]
Since log(0) is undefined, we can assume that there is a vertical asymptote there. So, to make the function log(0), x needs to be -3. There is a vertical asymptote at x=-3. Since the function has not been shifted anywhere, or flipped vertically/horizontally, the answer would most likely be A.
3 0
3 years ago
Read 2 more answers
If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
zloy xaker [14]

Answer:

25

Step-by-step explanation:

Let x be the number of students in the class

15 is 60% of x

60% of x can be written as 0.6x

15 = 0.6x

Divide by 0.6 on both sides

25 = x

There are 25 students in the class

Hope this helps :)

8 0
2 years ago
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