The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.

Answers

Answer 1

The equation of population of Laredo, Texas is :

-  [tex]p=\frac{92500}{17}t+123000[/tex]

"Population Growth"

Given:

t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).

Using point slope formula:

point slope= [tex]\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000[/tex]

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Related Questions

In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. If 4 such number cubes are rolled, what is the probability that at least 1 number cube will show a number 8 or larger?

Answers

The probability that at least 1 number cube will show a number 8 or larger is 0.83.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is

[tex]n^C_xp^xq^{n - x}.[/tex]

Given, In a certain board game, a 12-sided number cube showing numbers 1 to 12 is rolled.

So, Numbers that are 8 or larger is 8, 9, 10, 11, 12.

Now, The probability(p) of getting a number 8 or larger P(X ≥ 8) = 5/12.

hence q = 1 - p = 7/12.

Therefore, If 4 such cubes rolled the probability that at least 1 number cube will show a number 8 or larger is,

P(X≥ 8) = [tex]^4C_1(\frac{5}{12})(\frac{7}{12})^4+^4C_2(\frac{5}{12})^2(\frac{7}{12})^2+^4C_3(\frac{5}{12}^3)(\frac{7}{12})^1+^4C_4(\frac{5}{12})^4(\frac{7}{12})^0[/tex].

P(X≥ 8) = 4(0.41×0.115) + 6(0.173×0.34) + 4(0.072×0.58) + 1(0.030×1).

P(X≥ 8) = 0.283 + 0.35 + 0.167 + 0.030.

P(X≥ 8) = 0.83 or 83% chance.

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A student can eat 1/8 of a pizza If there are 40 students in Ms. Leila's class, how many pizzas does Ms. Leila need

pls i need it

Answers

She would need 5 pizzas

The explanation is 40/8=5
The answer is 5 pizzas since 8 x 5= 40

$72 game with a 20% discount and 7.5% tax

Answers

Answer:

Cost of game after discount = 72 - 20% of 72 = $57.6

Cost after tax = 57.6 + 7.5% of 57.6 = $61.92

So, the required cost is $61.92.

HELP ASAP!! SOMEONE DO NUMBER 1 TO 4 FOR ME PLEASE IM RUSHING. ILL GIVE BRAINLIEST

Answers

1.)9+9+4+4=26 that is what I got

Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be valued at $768?

Answers

Answer:

4 years

Step-by-step explanation:

Hope this helps

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

how to solve the equation.. 1/4x=7

Answers

Answer:

b

Step-by-step explanation:

b

Answer:

x=27

Step-by-step explanation:

simplify 1/4

(1/4*x)-7=0

7=7/1=7*4/4

x-(7*4)/4=x-28/4

x-28/4=0

x-28/4*4=0*4

x-28=0

add 28 to both sides of the equation

x=28

One bag contains 2 green marbles and 4 white marbles, and a second bag contains 3 green marbles and 1
white marble. If Trent randomly draws one marble from each bag, what is the probability that they are both
green?

Answers

Answer:

1/4

Step-by-step explanation:

the first bag has 2 green marbles out of 6 total marbles, so the probability of getting a green marble out of the first bag is 2/6, or 1/3.

the 2nd bag has 3 green marbles out of 4 total marbles, so the probability of getting a green marble is 3/4

then multiply those together

1/3 × 3/4 = 3/12, which is 1/4

So that's the probability

Find the slope of the graph of
the linear function, f,
if f(3) = 6
and f(-2) = -4.

Answers

Answer:

slope is 2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

= [tex]\frac{-4-6}{-2-3}[/tex]

= [tex]\frac{-10}{-5}[/tex]

= [tex]2[/tex]

cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))

Answers

Answer:

Answer below

Step-by-step explanation:

I really hope it works

PLEASE help me I WILL MARK BRAINLIEST

Answers

I think it’s b not positive but I think that’s it

Answer: The answer is B

Step-by-step explanation:

-(5n-1\right)\left(25n^2+5n+1)

u gotta flip it and the answer is B on your screen!!!

What is the solution of each equation?

2(h - 8) - h = h - 16

a

no solution

b

infinitely many solutions

c

8

d

-8

Answers

The correct answer is b

Mr. Heath is TRYING to grow his hair out! Currently, his hair is 0.25 inches long. Each month, it grows 0.5 inches. His goal is to have hair that is 2.5 inches long. Let x be the number of months that Mr. Heath grows hair. Which of the equations represents Mr. Heath's hair growth journey? *

Answers

Answer: 0.25 + 0.5x = 2.5

Step-by-step explanation:

0.25 = the how long his hair is right now

0.5 = how much it grows each month

X= how many months it takes to reach 2.5 inches of hair

2.5= how long he'd like his hair to be

What is a function?

A)Every x-value has more than one y-value.

B) Every x-value has exactly one y-value.

Answers

Answer:

A

Step-by-step explanation:

Rewrite 5/3 as an improper fraction.

Answers

Answer:

2

1 - -

3

Step-by-step explanation:

gogiueueudkdkdkd

Answer:

1 2/3

Step-by-step explanation:

Solve the proportional
equation below:
7/5 = a/8

Answers

Answer:

11 1/5  hope this can help you

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have the proportion

7/5=a/8

a=(7*8)/5=56/5= 11 1/5

Please help me 20 points

Answers

Answer:

the thrird option

Step-by-step explanation:

Destiny types 20,420 words in 5 minutes. How many words does she type per minute?

Answers

Answer:

4084

Step-by-step explanation:

20420/5=4084

Answer:

4084 words.

Step-by-step explanation:

If Destiny types 20,420 words in 5 minutes, then she types 20,420 divided by 5 words in 1 minute.

20,420/5 = 4084

Destiny types 4084 words in 1 minute.

Let me know if this helps!

CAN SOMEONE HELP ME PLS PLS I GIVE MANY POINTS AND BRAINLISt

Answers

i think it’s 6.75 but i’m not 100% sure. have a nice day

Answer:

4.75

Step-by-step explanation:

Area:3²π÷4-2×2÷2=4.75

The train travels at a constant speed. What is its speed? please hurry

Answers

Answer:

300 km in hour are the answers

PLEASE, PLEASE HELP D:
write the linear equation given :

1. slope = 1/4; y-intercept =7

2. slope = -3; y-intercept = 2/3

3. slope = 2/3; y-intercept = 2/3

4. slope = -2; y-intercept = -1/2

5. slope = -3/4; y-intercept = -3

Answers

Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

If f(x) = - 4x + 5 then what is f(-2)?

Answers

f(-2) = -3
This is my work

Find the value of x and y from the figure, if A, B & C are points on the circle with centre O.

Answers

Answer:

x=55 y=125

Step-by-step explanation:

X= 110/2=55

if BC is 110, BAC=250

so Y=250/2=125

X=110 divided by 2=55 because x is half of the 110 . Since it’s quadratic inside the circle the opposite sides equals to 180 so 180-110=70 so Y =70

Can someone could explain the part of simplifying rational expressions where it is x is not equal to a number. I've had a hard time understanding how to get that answer. The picture is an example in my notes.

Answers

Answer:

yeah it is bcoz if x is -1 then x+1 will be

-1+1 which is 0 and ur whole equation will say

now thats a lot of damage

Convert this decimal into its fractional
form, simplified completely.
0.240
please help me

Answers

Answer:

the answer is 6/25 , hope this helps

Answer:

6/25 is the correct answer. I guess it helps you

What is the value of the expression? 8.5 - (-4.8) - 7

Answers

Answer:

6.3

Step-by-step explanation:

8.5 - (-4.8)

Let's focus on - (-4.8)

if a negative number is subtracted, it reverses itself

In other words, if a negative number is being subtracted, it is the same as being added as a positive number

So we change the equation to

8.5 + 4.8 = 13.3

Now we subtract 7 from 13.3

Since positive 7 is being subtracted, the rule for -4.8 does not apply to it

13.3 - 7 = 6.3

The perimeter of a rectangular plot of land is 76 m. Its length is 3 more than 4 times the width. What is the area of the plot of land?​

Answers

Answer:

Step-by-step explanation:

perimeter =76 m

L=3+w

w

2L+2W=76

2(3+W)+2W=76

6+2w+2w=76

4w=70

w=70/4

w=17.50

L=17.50+3=20.50

A=L*W=17.50*20.50=358.75m^2

Solve by completing the square x^2-10x-24=0

Answers

Step-by-step explanation:

=x²-10x-24

=x²-4x+6x-24

=x(x-4)+6(x-4)

=(x-4)(x+6)

hope it helps.

A music store has 5 guitars for sale. Each guitar has 6 strings. The manager wants to replace all the strings. How many new strings does he need?

Answers

Answer:

30 strings

Step-by-step explanation:

Answer:

5 guitars...each has 6 strings

5 x 6=30

so 30 strings needed

Helppppp please. I am stumped..

Answers

Answer:

D

Step-by-step explanation:

w = width

length = w + 0.6

A = l · w

A = w (w + 0.6)

A = w² +.6w

Answer:

D

Step-by-step explanation:

w = width

l = length = w + 0.6

Area = ( l ) * ( w )

Area = ( w + 0.6 ) ( w )

Area = w^2 + 0.6w

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