Someone remind me of what the Pythagorean theorem is (Geometry)

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:

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:

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:

16x - 16

Step-by-step explanation:

Distribute the 4 to the other terms.

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

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:

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:

<--------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: 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:

[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]

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

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: 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:

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:

There is no question, but I'll assume that if there is one, the useful conversion factor will be one tah expresses paint coverage in gallons/ft^2.

0.050 gallon/ft^2

Step-by-step explanation:

1 1/4 gallon covers  425 ft^2

(1 1/4 gallon)/(425 ft^2)

0.050 gallon/ft^2

Answer:

A1 46 A5 134 dkfhwjhdufkk

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:

If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.

Step-by-step explanation:

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:

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:

20 x 10

Step-by-step explanation:

because these ar​e the remaining digits :D

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:

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

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:

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:

5

Step-by-step explanation:

|-3| = 3

2 + 3 = 5

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

Check the attached image.

_____

RainbowSalt2222 ☔

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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