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Hunter-Best [27]
3 years ago
9

Studio fee:$8 per hour Vase:$10

Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0

Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

p(x)=8x+10

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

46=8x+10

Subtract 10 from both sides:

36=8x

Divide both sides by 8:

x=36/8

Reduce:

x=4.5

So, we spent about 4.5 hours.

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Answer:

boiling and melting

Step-by-step explanation:


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Based on the dotplot of the simulation results and the
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Answer:

The conclusion to be drawn is:

The actual proportion of teenagers who do not smile  is only 8%.  It is clear that exactly 6 out of 10 teenagers will smile  in their driver's license photo.

If we continued to take more samples of 10  teenagers, the center of the distribution would shift to

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4 0
3 years ago
A biking track has a length of 0.8 miles mi. How long is this in feet ft?
Sedbober [7]

Answer:

4224

Step-by-step explanation:

.8 mile = 4224 feet

8 0
3 years ago
Read 2 more answers
At what point of the curve y = cosh(x does the tangent have slope 2?
Dahasolnce [82]
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
5 0
3 years ago
A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in
oksano4ka [1.4K]

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

6 0
3 years ago
Read 2 more answers
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