How can I remember slope?

Answers

Answer 1

Answer: You can remember slope by saying " rise over run"

Answer 2

Answer: just remember a hill going down.

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In a certain country, the life expectancy of a woman born in 1995 was 80.2 years. Between 1995 and 2005, the life expectancy increased 0.4 year every 5 years.

Answers

The Equation of life expectancy is x- 0.4(2) = 80.2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The life expectancy of a woman born in 1995 was 80.2 years.

The life expectancy increased 0.4 year every 5 years.

So, from 1995 to 2005 there are two times the life expectancy increase.

let the lifeexpectancy by x.

Thus, the equation is

x- 0.4(2) = 80.2

Learn more about Equation here:

brainly.com/question/29657992

#SPJ5

Answer:

a. L - 0.4(2)= 80.2 or L - 80.2 = 0.4(2) or 80.2 + 0.4(2) = L

b. No; The equations must be equivalent. They may look different, but all equations can be rewritten as L= 80.2 + 0.4(2).

Step-by-step explanation:

How can you use addition and subtract to put together and separate measures of an angle and its parts

Answers

How can you use addition and subtract to put together and separate measures of an angle and its parts

Adding and Subtracting angles can be put this way.
Complementary angles can be formed by two angles with total of 90 degrees.
Supplementary angles can be formed by two angles with total of 180 degrees.

X + Y = 90 degrees
Y = 90 - X
X = 90 - Y

X + Y = 180 degrees
Y = 180 - X
X = 180 - Y

Given equations A and B as 2/5x+y=12 and 5/2y-x=6 , respectively, which expression will eliminate the variable x?

Answers

Answer:

$(2)/(5)$ × B + A

Step-by-step explanation:

Given equations are $(2)/(5)$ x + y = 12 ---------(A)

and equation $(5)/(2)$ y - x = 6 -------------(B)

To eliminate the variable x we will multiply equation A by $(5)/(2)$

and add it to equation B.

In other words, the expression that we will adopt to eliminate the variable x will be $(2)/(5)$ × B + A

Hello,

the answer is 5/2*A+B

What is the formula for a cylinder and a circle?

Answers

The surface area of a right cylinder equals $2 \pi rh+2 \pi r^2$

As you can see in the attached picture, the surface area consists of two equal circles (bottom and top one) and area that would look like a rectangle, if "unraveled".

The formulae for the surface area of the circle is $\pi r^(2)$ . You have to multiply it by two and add to the area of the "rectangle", which equals $2 \pi rh$ where $2 \pi r$ is the circumference of the circle and $h$ is the height of the cylinder.

The table represents the temperature of a cup of coffee over time. Which model best represents the data set?

exponential, because there is a relatively consistent multiplicative rate of change

exponential, because there is a relatively consistent additive rate of change

linear, because there is a relatively consistent multiplicative rate of change

linear, because there is a relatively consistent additive rate of change

Answers

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

A. exponential, because there is a relatively consistent multiplicative rate of change

Is the square root of 18 closer to 4 or 5

Answers

It’s closer to 4 because 18 is closer to 16

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The sales tax in Bill's state is 6%. Bill bought a Scion having a sales tax of $820. What was the cost of the car? Round to the nearest dollar. A. $13,666 B. $13,668 C. $13,665 D. $13,667

taylor is moving and must rent a truck. there is an initial charge of $45 for the rental plus an additional fee per mile driven. of taylor were to drive 5 miles, the total cost would be $60 write an equation for c, in terms of m, representing the total cost of renting the truck if taylor were to drive m miles

What is the surface are of a rectangle pool with a lenth of 105 feet and a width of 45 yards?