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2 years ago

For what value of x is the equation 2^2x+7 = 2^15 true?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

We assume your equation is intended to be ...

2^(2x+7) = 2^15

Equating exponents gives ...

2x +7 = 15

2x = 8 . . . . . . subtract 7

x = 4 . . . . . . . divide by 2

The value of x is 4.

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A store is selling 5 cans of tomato sauce for $4.50. What is the unit price?

NARA [144]

Hi there! The answer is $0.90

To find the price per unit we must divide the total amount of money by the amount of units sold. So we get the following:
$4.50 / 5 = $0.90

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2 years ago

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While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr

suter [353]

Answer:

1,200 cars per hour

Step-by-step explanation:

Let's suppose the car flow is constant and based on the observations stated in the problem.

If we set and imaginary car counter where your car is, then there are 25 cars in ¼ of a mile (including yours) going at your same speed.

Now compute how long it will take to travel ¼ mile. As your speed is constant 60 mph, we can cross multiply

60 miles -----------> 1 hour

¼ of a mile --------> x hours

and

60/ (¼) = 1/x ---------> x = 1/240 hours.

This means that in 1/240 hours the 25 cars will be passing the counter.

Now compute how many cars will pass through our counter in 1 hour. Again, cross multiplying

1/240 hours -------> 25 cars

1 hour --------------> x cars

and

1/240 = 25/x -------> x = 25*240 = 1,200 cars.

So, the flow rate of the highway (going in your direction) in cars per hour is 1,200 cars per hour.

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2 years ago

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv

vazorg [7]

The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
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2 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

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If we let
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y as the distance between the boat and the lighthouse.

Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y

Solving for y in the second equation:
y = 200 / tan 51°33'

Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
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Therefore, the boat traveled 458.81 ft before it stopped.

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2 years ago

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Max's cell phone plan charges a monthly

ludmilkaskok [199]

Answer:

Step-by-step explanation:

7.41 / 0.13 = 57

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2 years ago