What is the constant of proportionality in the equation
Below

Answer:

y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2

Step-by-step explanation:

7 i believe

Answer:

y2-y1/x2-x1

11-4/1-0

7/1

slope = 7

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Answer:

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

Step-by-step explanation:

Same as last time, take any 2 points you want:

(0, 3) and (4, 1)

Use the slope formula to calculate the slope:

[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]

On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.

Answer:

A

Step-by-step explanation:

Answer:

operations

Step-by-step explanation:

to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Answer:

4

Step-by-step explanation:

8x - 4 = 4x + 12

Add 4 to both sides:

8x = 4x + 16

Subtract 4x from both sides:

4x = 16

Divide by 4 from both sides"

x = 4

Answer:

A    y - 1 = -4(x + 2)

Step-by-step explanation:

point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]

y - 1 = -4(x -(-2) )

y - 1 = -4(x + 2)

Answer:

9.5 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given triangle has:

The ratio (slope) is:

For any triangle using same line the proportion is:

Answer:

25

Step-by-step explanation:

124% = 31

1% = 0.25

100% = 25 biscuits

...YUMMY!

Answer:

24

Step-by-step explanation:

The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.

The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.

Using a point on the graph, (5, 2):

Unit rate of the graph = y/x = 2/5

Unit rate = 0.4.

Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]

Unit rate for the second table = 2/6 = 0.3 [less than 0.4]

Unit rate for y = 2x, is 2 [greater than 0.4].

Unit rate for y = 0.25x, is 0.25 [less than 0.4].

Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]

Unit rate for the second table = 3/8 = 0.375 [less than 0.4]

Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.

Learn more about unit rate on:

https://brainly.com/question/4895463

#SPJ1

Answer:

Step-by-step explanation:

Answer:

The symbol for a square root is [tex]\sqrt{}[/tex].

:)

Answer:

√

Step-by-step explanation:

Math=Explanitory

Answer:

30.55 <_ a < 30.55

Step-by-step explanation:

a = 1/2 × b × h

a = 1/2 × 13 × 4.7

a = 30.55 cm^2

30.55 <_ a < 30.55

Answer:

x = 8°

y = 21°

Step-by-step explanation:

27 + 3y = 90

3y = 63

y = 21°

x + 8x + 18 = 90

9x = 72

x = 8°

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

The given parameters are:

[tex]\mathbf{a =10000}[/tex] --- the initial population

[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate

Population are always modelled using exponential function.

This is represented as:

[tex]\mathbf{y = a(1 - r)^x}[/tex]

Where y represents the population in x years.

So, we have:

[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]

[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]

[tex]\mathbf{y = 10000(0.997)^x}[/tex]

When the population reaches half, then y = 5000.

So, we have:

[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = 0.997^x}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]

Apply law of logarithm

[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]

Make x the subject

[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]

[tex]\mathbf{x = 230.7}[/tex]

This means that the population will become half the original population in 230.7 years.

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

Read more about exponential function at:

https://brainly.com/question/11487261

Answer:

2+2 =22. ‍♀️ ................

Answer:

s ≈ - 0.5 , s ≈ 8.5

Step-by-step explanation:

s² - 8s - 4 = 0 ( add 4 to both sides )

s² - 8s = 4

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 4)s + 16 = 4 + 16

(s - 4)² = 20 ( take square root of both sides )

s - 4 = ± [tex]\sqrt{20}[/tex] ( add 4 to both sides )

s = 4 ± [tex]\sqrt{20}[/tex]

Then

s = 4 - [tex]\sqrt{20}[/tex] ≈ - 0.5 ( to the nearest tenth ) ← smaller solution

s = 4 + [tex]\sqrt{20}[/tex] ≈ 8.5 ( to the nearest tenth ) ← larger solution

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

Answer:

2 years

Step-by-step explanation:

casue if you multilpy 2 x 11,500 you get 23,000

Answer:

you got to do it

Step-by-step explanation:

Answer:

104 divided by a 100

1.04

Step-by-step explanation:

it is the same as moving the decimal two places to the left

Answer:

I think this is it 2/36=1/18

Step-by-step explanation:

if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.

2/3x1/12= 2/36

simplified 1/18

Answer:

911

Step-by-step explanation:

The expression  5k+m3  is a sum. The term 5k is an addend, but it is also a product. The term m3  is an addend, but it is also a quotient.

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.

Answer: Choice D

Explanation:

We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).

Answer:

the correct is C. because they are lines going to 2.

Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.

An increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 16(1 + 0.02)^t[/tex]

[tex]A(t) = 16(1.02)^t[/tex]

It will be 30 million after t years, for which A(t) = 30, hence:

[tex]A(t) = 16(1.02)^t[/tex]

[tex]30 = 16(1.02)^t[/tex]

[tex](1.02)^t = \frac{30}{16}[/tex]

[tex](1.02)^t = 1.875[/tex]

[tex]\log{(1.02)^t} = \log{1.875}[/tex]

[tex]t\log{1.02} = \log{1.875}[/tex]

[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]

[tex]t = 31.7[/tex]

It will take 31.7 years for the state's population to be of at least 30 million people.

A similar problem is given at https://brainly.com/question/14773454

Answer:

B) x = 2

Step-by-step explanation:

1 + 1 = x

2 = x

1 + 1 = 2