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Novosadov [1.4K]
3 years ago
13

What is the rate of change for y = 29/5 x

Mathematics
1 answer:
givi [52]3 years ago
8 0

the rate of change is -29/5x^2

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Use the unit circle to find sec (-90)
andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

  1. Draw the vertical line passing trough (1,0)
  2. Extend the radius until it meets this line at point P
  3. The length of OP is the secant of your angle.

Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}

which is undefined.

4 0
3 years ago
What is the area of a triangle with a base of 5cm and height with 3cm
harina [27]
(5x3)/2 = 7.5cm^{2}
6 0
3 years ago
Find the volume of the prisms. Show work!
Fed [463]

1. Answer =   About 1451.42 m³

  • First, we need to find the volume of the cube:
  • Formula: πr²h
  • Volume = π * 3² * 50 = 1413.72 m³
  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
  • Third, we need to add these two volumes to find the total volume of the figure.
  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
  • 1/2 * 8 * 12 = 48.
  • Second, we need to multiply the area of the base by the height to get the volume.
  • B * h = 48 * 20 = 960 m³.
6 0
3 years ago
A business purchases a computer system for $5,300. The value of the system decreases at a rate of 12% per year. In how many year
N76 [4]

Answer:

7

Step-by-step explanation:

If a system decreases by 12% it's the same as multiplying it by .12-1 or .88

This means we can create the following equation

computer value=5300(.88)^n

where n is the number of years

We can then plug in the value of the computer and solve for n

2200=5300(.88)^n

Divide by 5300 and get

.415=.88^n

Then put this into log form and get

\frac{log(.415)}{log.88}

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7

6 0
3 years ago
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, on
fiasKO [112]

Answer:

Step-by-step explanation:

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a

1 rectangular play ground = 2l + 2w 

total fencing material = 8a + 2l + 2w

7 0
3 years ago
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