Lines s and t are parallel. Find the value of x.
PLEASE HELPPPPP, THANKSS!!!!

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You can perform 10 push-ups in 25 seconds.

Then the equation represents the relationship between time x and the number of pushups y will be

The number of push-ups will be zero for zero seconds.

Then we have

y - 0 = [10/25] (x - 0)

    y = 0.4x

More about the linear system link is given below.

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Answer:

2 times became that's correct

Answer:

The Ratio you are looking for is 5:8

Step-by-step explanation:

Answer:

6: azul

20: lila o morado

Answer:

2x+5=31 is the most common correct answer

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

Answer:

c

Step-by-step explanation:

you would do

m = money overall

(m*1.08) +3000= you would do that twelve times

Answer:

( -2.5 , 1 )

Step-by-step explanation:

(-2.5 ,1 ) hope this helps u

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

Answer:

7

Step-by-step explanation:

2×3.7=7 is easy and less money

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

−

6

x

−

1

Step-by-step explanation:

x-1

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

Answer:

im pretty sure the answer is c

Answer: the equation for SU is 2(lb+bh+hl)

Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2

Answer:

851,968

Step-by-step explanation:

26*8*8*8*8*8= 851,968

From the combination of codes, 851,968 employee ID codes can be generated.

Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Required number of  codes = 26 * 8 * 8 * 8 * 8 * 8
                                         = 851,968

Thus, from the combination of codes, 851,968 employee ID codes can be generated.

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Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

Answer:

zero

Step-by-step explanation:

56+(-56),thus

the negative overcomes the positive,

56-56

0

Step-by-step explanation: amazon they have everything

Answer:

12

Step-by-step explanation:

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Answer:

  x: 3 = 23 -15

     x = 8 x 3

    x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Answer:

2

Step-by-step explanation:

PEMDAS says to do the equations in parentheses first

(14-4) = 10

PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case

(10)2 = 20

20 ÷ 10 = 2

9514 1404 393

Answer:

  $43.75

Step-by-step explanation:

The amount of the markup is ...

  $25 × 0.75 = $18.75

The final cost to the customer is ...

  selling price = purchase price + markup

  = $25.00 + 18.75 = $43.75

They charge customers $43.75 for a videogame.

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

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Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)