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Vesnalui [34]
3 years ago
10

A downtown parking lot charges $4.00 per hour for the first two hours and $1.50 for each additional hour thereafter. Raul paid $

12.50 for parking during a business meeting. Which equation describes h, the number of hours Raul paid for?
Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

5 hours

Step-by-step explanation:

2 first hours cost 4.00 which equals 8.00

Additional hours cost 1.50

So we know he already has to pay 8.00 for the first 2 hours

now you just subtract 8.00 from 12.50 which equals 4.50

If one hour is 1.50 Then 2 hours is 3.00 so we subtract 3.00 from 4.50 which equals 1.50 and 1.50 equalss another hour

y=4x+1.50

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A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

V=Bh

where

B is the area of the base of cylinder

h is the height of cylinder

we have

B=\pi r^{2}

we have

h=8\ mm

r=6/2=3\ mm ----> the radius is half the diameter

B=(3.14)(3)^{2}

B=28.26\ mm^2

substitute

V=(28.26)(8)=226.08\ mm^3

step 2

Find the volume of the sphere

The volume is given by

V=\frac{4}{3}\pi  r^{3}

we have

r=6/2=3\ mm ----> the radius is half the diameter

substitute

V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3

step 3

Adds the volumes

226.08+113.04=339.12\ mm^3

6 0
3 years ago
If f(x)=√2x+3/6x-5, then f(-1/2)=
denis23 [38]

answere=-1

this is the answere and the explanation.

8 0
3 years ago
What are the coordinates of the vertex of the parabola with the equation y = x + 2x - 3?
loris [4]

Answer:

<em>The coordinates of the vertex are (-1,-4).</em>

Step-by-step explanation:

<u>Equation of the Quadratic Function </u>

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We are given the function:

y=x^2+2x-3

We must transform the equation above by completing squares:

The first two terms can be completed to be the square of a binomial. Recall the identity:

x^2+2xy+y^2=(x+y)^2

Thus if we add and subtract 1:

y=(x^2+2x+1)-3-1

Operating:

y=(x^2+2x+1)-4

The trinomial in parentheses is a perfect square:

y=(x+1)^2-4

Adding 4:

y+4=(x+1)^2

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).

The coordinates of the vertex are (-1,-4).

4 0
2 years ago
alyssa has 6 quarters, 4 dimes and 5 nickels in her change jar. if she picks 2 at random, what is the probability that she will
rusak2 [61]
The probability of Alyssa picking a nickel and a quarter would be 11/15 (eleven over fifteen)

6/15 plus 5/15 which is 11/15
You get 15 as the denominator because you add 6+4+5=15

I hope u understand.
5 0
3 years ago
12x - 3x + 11 3 4x - (17 - 9x)
KengaRu [80]

sorry it won't let me show step by step but your answer is 150x-17

8 0
3 years ago
Read 2 more answers
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