What is the slope of the line through (-5,-10)and (-1,5)

Functions can be represented as equations, and equations can be represented as functions.

The number of people that started the rumor is 10

The function is represented as:

[tex]\mathbf{N(t) = \frac{400}{1 + 39e^{-0.7t}}}[/tex]

To calculate the number of people that started the rumor, we simply set t to 0.

So, we have:

[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{-0.7 \times 0}}}[/tex]

Evaluate the exponent of e

[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{0}}}[/tex]

Express e^0 as 1

[tex]\mathbf{N(0) = \frac{400}{1 + 39\times 1}}[/tex]

Multiply 39 and 1

[tex]\mathbf{N(0) = \frac{400}{1 + 39}}[/tex]

Add 1 and 39

[tex]\mathbf{N(0) = \frac{400}{40}}[/tex]

Divide 400 by 40

[tex]\mathbf{N(0) = 10}[/tex]

When t = 0, N(t) = 10

This means that 10 people started the rumor.

Hence, the number of people that started the rumor is 10

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Answer: 24 in, 41 in

Step-by-step explanation:

Set shorter piece is x in, and another longer one is y.

1. x + y = 65

2. y = 2x - 7

plug in the second equation into y of the first equation, we get:

x + (2x - 7) = 65

x + 2x - 7 = 65

    3x - 7 = 65  （Add 7 to the both side)

          3x = 72     (Divide 3 to both side)

            x = 24 in

Plug x in the second equations to slove y.

y = 2x - 7

y = 2(24) - 7

y = 41 in

Answer:

5

Step-by-step explanation:

|-3| = 3

2 + 3 = 5

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

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]

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Answer: well if I am correct, then 9/12 is equal to 3/4 so you then have to subtract 1/12 from 9/12 so 8 (8/12) would be what was taken away. (if you were to simplify 8/12 I believe that would be 2/3)

-hope that helped-

let me know if I misunderstood anything or did something wrong

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:

-3

Step-by-step explanation:

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

Answer:

[tex](f - g)(x) = - 5 {x}^{2} + 5x - 7[/tex]

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

Let A represent the amount Garage A would charge if Aaliyah parks for t hours, and let B represent the amount Garage B would charge if Aaliyah parks for t hours.

Garage A charges an initial fee of $8 to park plus $2 per hour. Hence:

A = 2t + 8  

Garage B charges an initial fee of $4 to park plus $3 per hour. Hence:

A = 3t + 4

For Garage A to be cheaper than Garage B:

2t + 8 < 3t + 4

8 - 4 < 3t - 2t

4 < t

t > 4

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

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Answer:

A1 46 A5 134 dkfhwjhdufkk

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: the slope would be 0

Step-by-step explanation:

Answer:

  AC = BC = 5 cm

  ∠A = 60°

Step-by-step explanation:

All of the points on a circular arc are the same distance from the center of the arc. This construction makes the radius of each arc be 5 cm, so point C is 5 cm from the arc centers: A and B. That is, ...

  AC = 5 cm

  BC = 5 cm

___

A triangle with all sides the same length is an equilateral triangle. It is also an equiangular triangle, so all three angles have the same measure: 180°/3 = 60°.

  ∠A = 60°

Answer:

16x - 16

Step-by-step explanation:

Distribute the 4 to the other terms.

4(4x - 4) = 16x - 16

Answer:

y = 26

Step-by-step explanation:

y=x^2+10; x=4

plug in the value

y=4^2+10

simplify

y=16+10

y=26

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:

31:5

Step-by-step explanation:

A ratio is "the quantitative relation between two amounts," according to the Oxford Dictionary. We usually put a colon (:) between the two amounts in a ratio. In the scenario given, we have 31 gold coins for every 5 silver coins. We can represent this with the ratio 31:5.

If you have any more questions, let me know! :)

Answer:

Well 31 gold coins

5 silver

basically

31:5

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:

363

Step-by-step explanation:

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:

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

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

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:

x = 115°

Step-by-step explanation:

The two angles are vertical, so x = 115°

Vertical Angles are two angles formed by the intersection of two lines. Angles that are non-adjacent to each other are congruent in degrees.

We can see that 115° and x° are formed by the intersection of two lines, and they are non-adjacent (don't share a common side) which makes them congruent in degrees.

x = 115°

-Chetan K

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

Check the attached image.

_____

RainbowSalt2222 ☔

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