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bonufazy [111]
2 years ago
13

If water flows out of a faucet at 500 L per hour, how long will it take for 20 L to come out of the faucet?

Mathematics
1 answer:
notka56 [123]2 years ago
6 0

Answer:

2 hr

Step-by-step explanation:

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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
2 years ago
Complete the sentence.<br> In the formula C=2r. C stands for
AleksAgata [21]

Answer:

Circumference

3 0
2 years ago
Read 2 more answers
Complete the factoring: <br><br> 5x^2-40x=5x( )<br><br> A) x-8 B)8-x C)x^2-8 D) 8-x^2
dolphi86 [110]

Answer:

A) x-8

Step-by-step explanation:

\mathsf{5x^2-40x=5x(x-8)}

because

\mathsf{5x(x-8)=5x\cdot x-5x\cdot8=5x^2-40x}

4 0
2 years ago
Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).
Dmitrij [34]

Answer:

y = 14 (6)^{x}

Step-by-step explanation:

For an exponential function of the form y = ab^{x}

Use the given points to find a and b

Using (0, 14 ), then

14 = ab^{0} ( b^{0} = 1 ) , thus

a = 14

y = 14b^{x}

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = \sqrt[3]{216} = 6 , thus

y = 14 × 6^{x} ← exponential function

5 0
3 years ago
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x + 4|?
Tamiku [17]

Answer:

Left on the x-axis

Step-by-step explanation:

The opposite of the coefficient's amount of units is how much the graph will be moved.

Table comparisons

g(x)=|x+4|

x  1   -2   <u>-4</u>

y  5   2    <u>0</u>

Underlined is the x-int of the equation.

f(x)=|x|

x  1  <u>0</u>  -1  3

y  1  <u>0</u>   1  3

5 0
3 years ago
Read 2 more answers
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