In 2010, the population of a city was 58,000. From 2010 to 2015, the population grew
by 6.9%. From 2015 to 2020, it fell by 5.7%. To the nearest 100 people, what was the
population in 2020?

Answer:

The y-intercept is the point in which the line crosses the y-axis (meaning, you'd find -2 on the y-axis).

Slope is the movement up or down and left or right, from the y-intercept (in this case we'll move downwards 3 units and to the right 2 units, and we'll keep doing this until our line forms).

I'll graph it for you, so you can get a visual, (but you really should do what the other person said and check out Desmos. It's really neat, and you don't even have to download it.)

Hope this helps you :)

The graph of the line with a slope of -3/2 and a y-intercept of -2 is a downward-sloping line passing through the point (0, -2) and (2, -5).

To graph the given features, which include the slope and y-intercept, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Given:

Slope (m) = -3/2

Y-intercept (b) = -2

Using these values, we can write the equation of the line as:

y = (-3/2)x - 2

To graph this line, follow these steps:

1. Plot the y-intercept: Start at the point (0, -2) since the y-intercept is -2.

2. Use the slope to determine the next point: Since the slope is -3/2, this means that for every 2 units you move to the right, you move down 3 units.

  Start from the y-intercept point (0, -2) and move 2 units to the right, then 3 units down to plot the next point.

  This gives us the point (2, -5).

3. Connect the two points: Draw a straight line passing through the plotted points (0, -2) and (2, -5).

To know more about slope, refer here:

https://brainly.com/question/30021035

#SPJ2

Answer:

1.5 Feet

Step-by-step explanation:

Answer:

3 ft

Step-by-step explanation:

Divide 12 ft by 8 pieces.

12 ÷ 8 = 3

Answer:

ok I looked at it!

Step-by-step explanation:

I'm letting you be a able to give the other dude brainiest!

Answer:

Step-by-step explanation:

Let the intensity is y and the distance is x.

Their relationship is:

Let's substitute given values and find the value of k:

Our equation becomes:

Now find the value of y when x = 4:

Answer:

B- 20

D- no solutions

Step-by-step explanation:

Cuz its light work lol

Answer:

For the first question, the answer is x=20 so the answer is B

For the second I don't know, sorry :(

Step-by-step explanation:

Answer:

y = 22

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the angles in the lower triangle and equate to 180°

∠ 1 + 19° + 41° = 180°

∠ 1 + 60° = 180° ( subtract 60° from both sides )

∠ 1 = 120°

∠ 1 and ∠ 2 are vertically opposite angles and are congruent , so

∠ 2 = 120°

Sum the angles in the upper triangle and equate to 180

y + 120 + 38 = 180

y + 158 = 180 ( subtract 158 from both sides )

y = 22

Answer:

1.

Step-by-step explanation:

0.01x100.

think of it as a decimal turning into a percent. it will be 1

Answer:

C.    The relationship is linear; y + 2 = (-5/4)x - 11.25

Step-by-step explanation:

If the relationship f is linear then its graph is a line D of equation y = ax+b

(-9 ,-2)∈D ⇔ -2 = -9a + b  (1)

(-5 , -7)∈D ⇔ -7 = -5a + b (2)

(2)-(1)⇒ -5 = 4a ⇒ a = -5/4

-2 = -9a + b  ⇒ -2 = -9(-5/4) + b ⇒  2 +45/4 = -b ⇒ b = -13.25

then

D : y = (-5/4)x - 13.25 ⇒ y + 2 = (-5/4)x - 11.25

since (-1,-12) and (3,-17) are points of D (easy to check)

then it’s a linear relationship

Answer:

y=120x

Step-by-step explanation

i got it right

Answer:

8

Step-by-step explanation:

You can set up a proportion to find your missing side.

Let x be the missing side.

[tex]\frac{12}{x} =\frac{18}{12}[/tex]

Cross multiply and solve for x.

144= 18x

8=x

Answer:

8 mm

Step-by-step explanation:

[tex]\frac{12}{18} = {?}{12} \\\\ 18×? = 144 \\\ ? = \frac{144}{18} \\\\ ? = 8[/tex]

I hope I've helped you.

Answer:

x = 5

Step-by-step explanation:

4x - 3 = 2x + 7

4x - 2x = 7 + 3

2x = 10

x = 10/2

Answer:

x<-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-5/2<-5

divide x-5 by 2

1/2x-2.5<-5

factor out the -2.5 by adding it to both sides

1/2x< -2.5

divide both sides by 1/2

x=-1.25

Answer:

6

Step-by-step explanation:

mulyiplying is for finding out the area

Applying the steps to find the confidence interval of a proportion, it is found that the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

From a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter, hence:

[tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]

90% confidence level

So [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.4892[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.5356[/tex]

The 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

A similar problem is given at https://brainly.com/question/16807970

Answer:yesStep-by-step explanation:

yes

Answer:

[tex]x<-\frac{31}{2}[/tex]

Step-by-step explanation:

Answer:

The answer is (5x - 3) (25x² + 15x + 9)

Step-by-step explanation:

125x³ - 27

5 × 5 × 5 × x × x × x - 3 × 3 × 3

Rewrite 125x³ as (5x)³.

(5x)³ - 27

Rewrite 27 as (3)³.

(5x)³ - (3)³

Here, Both terms are perfect cubes, factor using the difference of cube formula,

a³ - b³ = (a - b) (a² + ab + b²)

where,

a = 5x

b = 3

Now,

(5x - 3) [(5x)² + (5x)(3) + (3)²]

Now, Simplify

(5x - 3) (25x² + 15x + 9)

Thus, The answer is (5x - 3) (25x² + 15x + 9)

-TheUnknownScientist 72

Answer:

i think its A

Step-by-step explanation:

The area of the indicated region of the standard normal distribution is 0.3520.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

From the normal distribution table, the region where z < −0.38 = P(z < -0.38) = 0.3520

Find out more at: https://brainly.com/question/15016913

Answer:

This equation is NOT proportional

Step-by-step explanation:

A proportional version of this equation would be Y=7x

Answer:

Polynomial Degree: 6 Leading Term: 7y^6 Leading Coefficient: 7

Step-by-step explanation:

Thank me later

Answer:

160,000

Step-by-step explanation:

Estimations like this usually involve rounding to easy numbers to multiply. You could do this in a number of ways depending on your ability to keep track of factors in your head, but the easiest way (and what I assume your teacher is looking for) is to round to the nearest, largest-power-of-ten, which in this case is the hundreds. 786 is closest to 800, and 217 is closest to 200, and 200*800 is 160,000. No calculator required is the key. You can also be slightly more sure that this is reasonable because you rounded up for one and down for the other, approximately by the same amount, too.

The ticket price that would maximize the total revenue would be $ 23.

Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

Therefore, the ticket price that would maximize the total revenue would be $ 23.

Learn more in https://brainly.com/question/7271015

Answer:

Step-by-step explanation:

x - y = 8

2*y = x + 4  Reverse the equation

x + 4= 2y    Subtract 4 from both sides

x = 2y - 4

Put that value for x in the first equation

2y - 4 - y = 8        Combine like terms on the ledt

y - 4 = 8               Add 4 to both sides

y = 8 + 4

y = 12

x - y = 8

x - 12 = 8           Add 12 to both sides

x = 8 + 12

x = 20

Answer:

3 + 0.6 + 0.01 + 0.004

Answer:

60km/h

Step-by-step explanation:

90 ÷ 1.5

= 60

60 km/h

Answer: 0.2588

Step-by-step explanation:

B. 3:14

Hope that helped:)

Answer:

length = 4

Step-by-step explanation:

A rhombus has four equal sides so the perimeter equals 4 sides.

Let x = length of a side

Perimeter of the rhombus is 7 times the length of the side decreased by 12

     4x = 7x - 12

    -4x = -4x    

      0 = 3x - 12

     +12 =    +12

       12 =  3x

      12/3 = 3/3x

        4 = x