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AlekseyPX
3 years ago
10

What is the unit rate if there are 189 miles driven using 7 gallons of gas? PLEASE ANSWER FAST

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

11

Step-by-step explanation:

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L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0
3 years ago
Read 2 more answers
Junior has a recipe that uses 1 3/4 cups of brown sugar and 3 1/3 cups of flour to make 18 muffins. He has a total of 10 cups of
Furkat [3]

54 muffins because if you take both your given fraction find the nearest common denominator which is 3 4/12 divide the 4 and 12 to get 3 than divide by 0.10 than divided by a whole 10 which got me 3.03 etc.

Round it see how many times it can go into 10 3 times than multiply it by 18.

8 0
3 years ago
A. x ≥ 0
AlladinOne [14]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
beks73 [17]

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

3 0
3 years ago
If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?
miv72 [106K]
The equation would be 2x+3 so when you plug it in it's 2(-2)+3 which simplify to -4+3 which is -1
5 0
3 years ago
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