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Nitella [24]
3 years ago
8

Look at this graph:

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

3/2

Step-by-step explanation:

slope=rise/run=30/20=3/2

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Dan wants to grow new grass in his yard. The yard is 12 feet by 20 feet. 1 package of grass seed will cover 50 square feet. Dete
ozzi
Find square footage of his yard
assuming is is roughtly a rectangle
area of rectangle=length times width
length=20ft
width=12 ft

area=length times width=20 times 12= 240 square feet

how many packages?
1 pack times x is at least 240
1 pack times x>240
50 times x>240
divide both sides by 50
x>4.8
you can't buy 0.8 pack, so round up
5 packs needed

3 0
3 years ago
Read 2 more answers
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder
erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

7 0
2 years ago
Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
vovikov84 [41]

The option are missing in the question. The options are :

A.  P = 2, a = 1

B.  $P=\frac{1}{2} ;  a =\frac{1}{3}$

C. $P=\frac{1}{2} ;  a =1$

D. P = 2, a = 3

Solution :

The given function is $f(x)= Pa^x$

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since $2(1^x)=2$

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. $f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

  $f(x)=2(3)^x$

Therefore, option (D). represents an exponential function.

4 0
3 years ago
After having been on the air for more than a decade, Fox's American Idol seemed to be suffering from viewer fatigue. The average
ElenaW [278]

Answer:

a) In the first season, there were 25.450 million viewers.

b) In the fourth season, the number of viewers was 11.950 million.

Step-by-step explanation:

Hi there!

The average number of viewers in season t is given by the following function:

f(t) = 32.744 e^{-0.252t}

a) To obtain the average number of viewers in season 1, we have to evaluate the function at t = 1:

f(1) = 32.744e^{-0.252 (1)} = 25.450

In the first season, there were 25.450 million viewers.

b) Now we have to evaluate the function at t = 4:

f(4) = 32.744e^{-0.252(4)} = 11.950

In the fourth season, the number of viewers was 11.950 million.

3 0
4 years ago
the sales tax in your city is 8.8%, and an item cost $63 before tax. how much tax would you pay on that item?round to the neares
Free_Kalibri [48]

Answer:

$68.54

Step-by-step explanation:

If you multiply the percent, 8.8% or .088 by 63 (the price), then add the tax to the item, the total adds to 68.54

3 0
4 years ago
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