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4 years ago

Help with slope please....

Mathematics

2 answers:

masha68 [24]4 years ago

6 0

Answer:

1. 1 Calorie Per Minute

2. 5/20 (Simplified = 1/4)

Really Hope This Helps :D

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

(Equation For Step Three is y=mx+b where m is the slope and b is the y-intercept.

Enjoy :D

OlgaM077 [116]4 years ago

4 0

Answer:

Part A: 4 calories per minute.

Part B: The slope is 1/2

Step-by-step explanation:

Part A: We look at the first point (40,10). 40 divided by 10? 4. We can check this by the second point (60,15). 60 divided by 15? Also 4.

Part B: Slope is found by 'rise over run' or rise/run. We take the first point (40,10). How many to get the our second point (60,15)? We 'rise' 1 and 'run' 2. Or we go up 1 and move to the right 2 times to get to (60,15). Since the line is going up, it's positive. Hope this helps!

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Original price: $23.37<br>with tax : $24.91<br>what is the sales tax percentage

Marina86 [1]

Answer:

6.6% = tax rate

Step-by-step explanation:

The first step is to find out how much was paid in tax

24.91 - 23.37 =1.54

The tax is 1.54

The tax is the original price * tax rate

1.54 = 23.37 * tax rate

Divide each side by 23.37

1.54/23.37 = tax rate

.065896448= tax rate

Changing to percent form

6.6% = tax rate

8 0

4 years ago

A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point

$f(t) = a(t-0.76)^2 + 57$ , now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a then we substitute a to get the quadratic equation therefore f is

$f(t) = -9.9788169(t-0.76)^2 +57$

4 0

3 years ago

Give an example of a linear equation that is perpendicular to y=5

scoray [572]

Answer:

Step-by-step explanation:

A linear equation (in slope intercept form) for a line perpendicular to y= -x+12 with a y-intercept of 5

5 0

4 years ago

Alejandra spent her birthday money on a video game that cost 24$,a controller for 13$,and a memory card for 16$ . The total tax

natita [175]

Answer: Alejandra gave $60 to the cashier.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given.

We have to subtract to the amount that Alejandra paid(x) the sum of the costs of each product [videogame (24), controller (13) and memory card (169] and the total tax (3). the expression must be equal to the amount received in change.

Mathematically speaking:

x -(24+13+16+3) = 4

Solving for x:

x - 56 =4

x = 4+56

x =60

Alejandra gave $60 to the cashier.

Feel free to ask for more if needed or if you did not understand something.

5 0

4 years ago

You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8

Firlakuza [10]

Answer:

Margin of error = 4.21 ounces

Step-by-step explanation:

According to the Question,

Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Thus, Margin of error = $Z_{critical}$ × σ / √n ( $Z_{critical}$ at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

8 0

3 years ago