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2 years ago

What do the differences between the points (as shown on the graph) represent?

Mathematics

2 answers:

Mekhanik [1.2K]2 years ago

8 0

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.

My name is Ann [436]2 years ago

5 0

Answer:

ahhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

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The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders

Arte-miy333 [17]

Answer: $\frac{1}{16}$

Step-by-step explanation:

Given: The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released.

The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released

$=\frac{35}{140}\times\frac{35}{140}=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$

Hence, The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released is $\frac{1}{16}$ .

5 0

2 years ago

Read 2 more answers

Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g

givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet. AD = 5 feet

BA = BD + AD

= 2 + 5 = 7 feet

In ΔABC

tan 20° = $\frac{BC}{BA} = \frac{BC}{7}$

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0

2 years ago

Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch. According to the tree dia

USPshnik [31]

Sizes = Small, Medium and Large, so they has 3 choices for size.

Crust = Thin or thick for each size, so they have 2 choices for crust.

Topping = Tomato or meatball for each one, so they have 2 choices for toppings.

The answer would be:

Three choices for size, two choices for crust, and two choices for topping

8 0

2 years ago

Read 3 more answers

While Sam was at work, his house lost electrical power. By the time the electrical power came back on, the temperature inside th

Lunna [17]

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) $f(x)=-0.4x+88$

Step-by-step explanation:

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

$f(30)=76$

Which implies that:

$x=30$ , which means that 30 minutes have passed after the conditioner has started to cool the house

$f(x)=76$ , which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

Here we want to write explicitely a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the hosue is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

$f(x)=mx+q$

where

$q$ is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

$m=\frac{76-88}{30-0}=-0.4$

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

$f(x)=-0.4x+88$

4 0

2 years ago

22.Island A is 160 miles from island B. A ship captain travels 170 miles from island A and then finds that he is off course and

bixtya [17]

we know that

Applying the law of cosines:

c² = a² + b² - 2abcos(C)

where:

a,b and c are sides of the triangle and C is the angle opposite side c

let

a=170 mi

b=200 mi

c=160 mi

that is

160² = 170² + 200² - 2(170)(200)cos(C)

solve for C

25,600 = 28,900 + 40,000 - 68,000cos(C)

25,600 - 28,900 - 40,000 = -68,000cos(C)

-43,300=-68,000cos (C)

cos (C)=0.6367

C=arc cos(0.6367)--------> C=50.45°

hence,

he should turn in the direction of island b by

180 - 50.45 = 129.55 degrees

the answer is

129.55 degrees

6 0

2 years ago