At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 1.1%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t.

Answer:

Step-by-step explanation:

If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.

=> We see that the rise is 2. So 2 will be our numerator,

=> We can also see that the run is 3. So 3 will be our denominator.

What do we get?

We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.

Answer:

246 math and 82 history textbooks

Step-by-step explanation:

this one is a fun one

328 / 4 gives us a value of m and h which is 82

so 328 = 3x + y

328 = 3m(82) + 1h(82)

328 = 246m + 82h

328=328

Answer:

B) 20

Step-by-step explanation:

c = √b2 + c2 - 2bc·cos(A) = 20

Have a nice day! :-)

Answer:

84 Miles

Step-by-step explanation:

The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.

Answer:

C

Step-by-step explanation:

yeah-ya......... right?

In this exercise we have to use the knowledge of polygon areas to calculate the area of ​​each of the informed objects, so we have to:

1) [tex]h = 19.1 in[/tex]

2) [tex]a = 6.7 ft[/tex]

3) [tex]e = 2.3 m[/tex]

4) [tex]y = 9.8 cm[/tex]

5) [tex]o = 71.6 ft[/tex]

6) [tex]e = 15.3 in[/tex]

7) [tex]y = 41.5 m[/tex]

8) [tex]o = 13.7 cm[/tex]

9) [tex]p = 18.5 ft[/tex]

10) [tex]s = 25.8 in[/tex]

11) [tex]b = 61.3 m[/tex]

12) [tex]n = 6.2 cm[/tex]

Then each of the figures will have its own area formula that corresponds to:

1) For the rectangle we find that:

[tex]14/11 = h/15\\h = 19.1 in[/tex]

2) For the rectangle we find that:

[tex]5/a = 9/12\\a = 6.7 ft[/tex]

3)For the rectangle we find that:

[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]

4) For the triangle we find that:

[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]

5) For the triangle we find that:

[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]

6) For the triangle we find that:

[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]

7) For the triangle we find that:

[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]

8) For the triangle we find that:

[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]

9) For the triangle we find that:

[tex]30/p = 13/8\\p = 18.5 ft[/tex]

10) For the trapezoid we find that:

[tex]20/s = 12/15.5\\s = 25.8 in[/tex]

11)For the triangle we find that:

[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]

12)For the triangle we find that:

[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]

See more about areas at brainly.com/question/1631786

Answer:

75

Step-by-step explanation:

he can download 2.5 songs per minute so 2.5 x 30 is 75

Answer:

Shane can download 75 songs in half an hour.

Step-by-step explanation:

use a proportion;

5 x

--- = ---

2 30

30/2 = 15

15 x 5 = 75

x = 75

Answer:

363

Step-by-step explanation:

Answer:

[tex]F = ( \frac{9}{5}C ) + 32[/tex]

with F = xF and C = xC

=> f(x) = (9/5)x + 32

I'm sorry I can't mark the degree symbol

Step-by-step explanation:

[tex]f(x) = \frac{5}{9}(x-32) \\xC = \frac{5}{9}(xF-32) \\xC * \frac{9}{5} = \frac{5}{9}(xF-32) * \frac{9}{5} \\xC * \frac{9}{5} + 32 = xF - 32 + 32 \\\\xC * \frac{9}{5} + 32 = xF[/tex]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-0}{0-(-2)}[/tex] = [tex]\frac{-2}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

Answer:

<--------o           o------------->

         -4           2

Step-by-step explanation:

Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.

From there, we shade the area on the graph that is true to the function.  So, we can test points.

First we will test x=-5

-5<-4  --> this is true, so we will shade to the left of x=-4

Now test x=0

0<-4  --> this is false

0>2  --> this is also false, so the area between the two open dots will not be shaded

Now test x=3

3>2  --> this is true, so we will shade to the right of x=3

Answer:

the factored expression: 2(x + 3)

Answer: the slope would be 0

Step-by-step explanation:

a is right its 58

and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.

but gotta check other people's answers

Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Plot the points on a graph. You'll get a figure like a trapezoid.

Check the attached image.

_____

RainbowSalt2222 ☔

Answer:

3

Step-by-step explanation:

Hice una ecuación: 2x+4=10. Luego, reste 4 de cada lado para obtener: 2x = 6, lo que resulta en: x = 3.

Answer:

What does this mean?

Step-by-step explanation:

So you need to divide the m by 234 and after you got your answer you would need to times it by 156

Answer:

2.85 divided by 2.91 is 0.97938144329

so about 97.9 percent 2.1 percent decrease

Answer:

2.1

Step-by-step explanation:

put change over original times percent over 100

so .06 times 100 is 6 and 6 divided by 2.91 is 2.06 and rounding to the nearest tenth would be 2.1%

Answer:

-3

Step-by-step explanation:

......................

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer:

15 hegevwyegecceccr

Step-by-step explanation:

5+3+0+7=15

Answer:

The digital root of 5307 is 6

Step-by-step explanation:

Answer:

1. 2 hours

2. 25cm

3. 6.84

Step-by-step explanation:

120÷3=40

4800÷40=120 so 2 hours

for the second one just divide 50 in half

for 3 just do $1.14×6

Answer:

1. 120 min

2. 25 cm

3. $6.84

Step-by-step explanation:

1. 120 words : 3min

multiply each side by 40 because 120 words times 4 is 4800 words

4800 words : 120min

2.   2 : 1 = length : width

multiply each side by 25 because 2 times 25 is 50 cm

50 cm : 25 cm

3. $1.14 : 100 grams

multiply each side by 6 because 100 grams times 6 is 600 grams

$6.84 : 600 grams

Answer:

[tex]n + 24 = 99 \\ \\ n = 99 - 24 \\ \\ n = 75[/tex]