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Luba_88 [7]
3 years ago
10

The U.S. Bureau of the Census predicted that the population of Pennsylvania would be about 12.7 million in 2010 and then would i

ncrease by about 0.24 million per year until 2018. Which of the following models predicts the population, y, of Pennsylvania (in millions) in terms of x, the number of years since 2010. y = 0.24x + 12.7 y = -12.7x + 0.24 y = -0.24x + 12.7 y = 12.7x + 0.24
Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

y=0. 24x + 12. 7

Step-by-step explanation:

since you start with 12. 7 and gain .24 each year, you would multiply the years by. 24 and just add the 12. 7 I hope this makes sense. also I love your profile picture :)

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The sum of Two numbers is 9. The<br> sum of the squares of the numbers is<br> 41. Find the numbers.
Tju [1.3M]

Answer:

4 and 5

Step-by-step explanation:

Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"

X + Y = 9   {equation 1}

X² + Y² = 41  {equation 2}

from equation 1:  y = 9-x

Substitute that into equation 2

x² + (9-x)² = 41

x² + 81 - 18x + x²= 41

2x² - 18x + 40 = 0

We can factor out a 2

x² - 9x + 20 = 0

(x-5)(x-4) = 0

x = 5 or 4

checking

Your two numbers are 4 and 5

4² + 5² 

= 16 + 25

= 41

3 0
2 years ago
Figure out the pattern, fill in<br> the blank
zmey [24]

Answer:

384

Step-by-step explanation:

The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.

48 * 8 = 384

Hope this helps! Please tell me if I did something wrong, thanks!

6 0
3 years ago
5 percent as a simplyfied fraction
ss7ja [257]
As a simple fraction it would be 5/100=1/20
7 0
3 years ago
Read 2 more answers
Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the wate
Masja [62]

Answer: a. 112 feet, b= 3 seconds, c= 256 feet, d = 6 seconds

Step-by-step explanation:

Here is the complete question:

Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.

Find the actual value(s) now to each question. Use the solution from the previous question to assist you with what you are actual solving for.

(a) From what height was the quarter tossed?

The quarter was tossed at 112 feet.

(b) How long does it take the quarter to reach its maximum height?

It will take ________ seconds for the quarter to reach its maximum height.

(c) What is the maximum height of the quarter?

The maximum height of the quarter is ________ feet.

(d) How much time does it take for the quarter to hit the water?

It will take ______ seconds for the quarter to hit the water.

a. Since the function is

d(t) = −16t² + 96t + 112,

The coin is tossed at 112 feet. This is because it is the the initial value of the function. It is the constant term and does not depend on any other variable.

b. To calculate the maximum height, we have to find vertex of the function, that has coordinates of h,k and,

h = -b/2a and k = f(h).

From the question, we are aware that,

a = -16, b = 96, c = 112

Using the values, the vertex will be:

h = -b/2a

= -96/(2 × -16)

= -96/-32

= 3

k = f(3)

= 16t² + 96t + 112

= -16(3)² + 96(3) + 112

= -144 + 288 + 112

= 256

The maximum height is therefore 256 feet, and time needed to reach the height will be 3 seconds.

c. The maximum height has been calculated and it is 256 feet.

d. The time it take for the quarter to hit the water will be:

= 3 seconds × 2 = 6 seconds

Since the maximum height took 3 seconds, it would take another 3 seconds to hit the water. This makes it 6 seconds

4 0
3 years ago
What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?
Stels [109]

Answer:

(x+1)^2+(y+4)^2=16

Step-by-step explanation:

equation of the circle

(x-x0)^2+(y-y0)^2=r^2

where x0 and y0 is center of circle

and r is radius of the circle.

we know that the center point is the middle of the diameter

so x0=(x1+x2)/2

x0=(3+(-5))/2=-2/2=-1

y0=(-4+(-4))/2=-8/2=-4

so the midpoint or the center of circle is the points (-1,-4)

the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]

so r is the distance between the center point and one of the diameter endpoints.

let us take points (3,-4) and center point (-1,-4)

√(-1-3)^2+(-4-(-4))^2=

√(-4)^2+0^2=

√16=4

so the radius of the circle is 4

now the equation of the circle will be

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

(x+1)^2+(y+4)^2=16

4 0
2 years ago
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