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Grace [21]
3 years ago
7

A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical

evaporates at a rate of 12,000 in³ per week.
How many weeks will it take for all of the chemical to evaporate?

Use 3.14 to approximate pi.

Enter your answer in the box.
Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
It would take 471 weeks. First, square the radius. Then divide the height by three. Multiply the square radius and the answer you got after dividing h by 3. Then multiply that answer by 3.14. Usually, you're done, but for this problem take the extra step and divide it by 12,000.
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31<9 and --3X = 4X = 15X = 12X = 11x = 18
JulsSmile [24]

Given:

\frac{3x}{4}

Find: values belong to the solution

Explanation:

\begin{gathered} \frac{3x}{4}

and

\begin{gathered} -\frac{x}{6}\ge-3 \\ -x\ge-18 \\ x\leq18 \end{gathered}

so those values are solution which is x<12

i.e; x=4 and x=11

5 0
1 year ago
Let ​ f(x)=x2+17x+72 ​ . What are the zeros of the function? ​Enter your answers in the boxes.
Bess [88]

Answer:

(x-9)(x-8)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone help me match these too?
Furkat [3]

ANSWER:

A is number 3

B is number 2

Step-by-step explanation:

The left side is A and B (order)

the right side is 1,2,3,4 (order)

explanation: A is number 3 because as said in A the tram already has 5 people which is what we start with a1 = 5 and we add 11 at each stop as shown in the equation.

B is number 2 for the same reason as it started with 2 but added 4 inches of rain each time.

7 0
3 years ago
1.) Evaluate the indicated function, where f(x) = x2 − 8x + 3and g(x) = 7x − 5.
noname [10]

Answer:

1) (f + g) (5) = 18, 2) (f + g) (1/2) = - 13/4, 3) (f - g) (-1) = 14, 4) (f * g) (7) = 456, 5) (f/g) (- 2) = - 3/4, 6) (g ○ f)(x) = 6 x - 23, (f ○ g)(x) = 6 x - 6, 7) (g \circ f) (x) = \frac{9}{x} - 24, (f \circ g) (x) = \frac{1}{x - 2} + 5, 8) (f ○ g)(5) = 3

Step-by-step explanation:

1) (f + g) (x) = x^{2}-8\cdot x + 3 + 7 \cdot x - 5\\(f + g) (x) = x^{2} - x - 2\\(f + g) (5) = 18

2) (f + g) (x) = x^{2} - 7 \cdot x + 4 + 6 \cdot x - 7\\(f + g) (x) = x^{2} - x - 3\\(f + g) (\frac{1}{2} ) = - \frac{13}{4}

3) (f - g) (x) = x^{2} - 3 \cdot x + 4 - 4 \cdot x + 2\\(f - g) (x) = x^{2} - 7 \cdot x + 6\\(f - g) (-1) = 14

4) (f \cdot g) (x) = (x^{2}-4\cdot x + 3) \cdot (3\cdot x - 2)\\(f \cdot g) (7) = 456

5) (f / g) (x)  = \frac{x^{2}-3\cdot x + 2}{4 \cdot x - 8} \\(f / g) (-2) = - \frac{3}{4}

6) (g \circ f) (x) = 3 \cdot (2 \cdot x - 8) + 1\\(g \circ f) (x) = 6 \cdot x - 23\\(f \circ g) (x) = 2 \cdot (3 \cdot x + 1) - 8\\(f \circ g) (x) = 6 \cdot x - 6

7) (g \circ f) (x) = 3 \cdot (\frac{3}{x} - 6) - 6\\(g \circ f) (x) = \frac{9}{x} - 24\\(f \circ g) (x) = \frac{3}{3 \cdot x - 6} + 5\\(f \circ g) (x) = \frac{1}{x - 2} + 5

8) (f \circ g) (x) = 2 \cdot (x^{2} - 5 \cdot x) + 3\\(f \circ g) (x) = 2 \cdot x ^{2} - 10 \cdot x + 3\\(f \circ g) (5) = 3

3 0
3 years ago
What is the actual number of kilometers that is represented by 2 centimeters ?
astraxan [27]
I think 5kilometers i’m not 100% sure
6 0
3 years ago
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