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Ksju [112]
3 years ago
12

Dominic used the equation below to find d, the amount in dollars he would spend on gasoline to drive a distance of m miles.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

Dominic used the equation below to find d, the amount in dollars he would spend on gasoline

to drive a distance of m miles.

d= m/25 (3.5)

Based on this equation, how much would Dominic spend on gasoline to drive a distance of

180 miles?

A $25.20

B $21.00

C $24.50

D $28.00

Step-by-step explanation:

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Find A and B if sin2xcos3x = A sin 5x + B sin x
patriot [66]
Recall that

\sin(x+y)=\sin x\cos y+\cos x\sin y
\sin(x-y)=\sin x\cos y-\cos x\sin y

Adding these together, you have

\sin(x+y)+\sin(x-y)=2\sin x\cos y
\dfrac12\sin(x+y)+\dfrac12\sin(x-y)=\sin x\cos y

Replace x with 2x and y with 3x. You end up with

\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x
\sin2x\cos3x=\dfrac12\sin5x+\dfrac12\sin(-x)=\dfrac12\sin5x-\dfrac12\sin x

and so A=\dfrac12 and B=-\dfrac12.
7 0
3 years ago
Plot 2 2/3 and 1 7/9.
PolarNik [594]

Answer:

Down below :)

Step-by-step explanation:

Hey there!

To plot a fraction on a graph you have to turn it into an improper fraction. In this case, the improper fraction for 2 2/3 is 8/3 and the improper fraction for 1 7/9 is 16/9.

*Note: To find the improper fraction of a fraction you must multiply the denominator by the whole number and then add the numerator.

With these two improper fractions...

8/3

16/9 (Simplify it down to 8/3 since both 16 and 9 go into 3)

You can now graph it. To graph, the numerator tells you how many times to go up and the denominator tells you how many times to go right. <u>IF IT'S NEGATIVE IT WILL DO THE OPPOSITE</u><u> </u><u>IF THE NUMERATOR IS NEGATIVE IT WILL GO DOWN INSTEAD OF UP AND IF THE DENOMINATOR IS NEGATIVE IT WILL GO LEFT INSTEAD OF RIGHT.</u>

8/9 means you need to start at the origin, (0,0) and go 8 up and 3 to the right. 8/3 means you start at the origin and go 8 up and 3 to the right. You will almost always start at the origin.

I really hope this helps :)

3 0
3 years ago
Which best describes the relationship between the successive terms in the sequence shown?
tensa zangetsu [6.8K]
This is a geometric sequence where each number is being multiplied by -2
3 0
3 years ago
WLL GIVE. BRAINLIEST IF YOU ANSWER PLEASE
Yakvenalex [24]
This would be easiest with a graphing calculator.

I recommend changing the mixed fractions to improper ones (so change 2 and 5/6 to 17/5, 1.75 to 7/4, 2 and 1/3 to 7/3, 1.1 to 11/10 and lastly 1.6 to 8/5) If you wish to change .14 to 14/100 and then reduce it to 7/50, then do so.

Your answer should be 1.21.

On a calculator, type in ((17/50+(7/4)x(7/50)). Hit enter. Then input ((7/3)x(11/10)/(8/5)). Hit enter. Then divide the top number and the bottom number.
5 0
4 years ago
Screenshot of the math question below
liubo4ka [24]

Answer:

1 hour and 25 minutes

Step-by-step explanation:

There is a 2 1/2 grid unit separation. If each grid unit represents 20 miles, there is a 50 mile separation. 50/40=1.25. It will take a truck driving at 40 miles per hour 1 hour and 25 minutes to drive from warehouse N to this store.

3 0
3 years ago
Read 2 more answers
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