The function d(h)=50+45hd(h)=50+45h represents the distance a family traveled, in miles, h hours after they stopped for lunch.What does the value 45 represent in this situation?

1.Before lunch, the family traveled at a speed of 45 mph.

2.The family drove 45 miles after they stopped for lunch.

3.The family drove 45 miles before they stopped for lunch.

4.After lunch, the family traveled at a speed of 45 mph.

Answers

Answer 1

Answer: Given the function d(h)=50+45 represents the distance a family traveled, in miles, h hours after they stopped for lunch. The value 45 represents the speed they are traveling in miles per hour. So if the function will be graph, the 45 represents the slope of the line.

Answer 2

Answer:

After lunch, the family traveled at a speed of 45 mph.

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How is using a conversion factor different from using proportions to convert measurement units? Explain which is easier and why.

Answers

A conversion factor is basically a simplified ratio. For example, we want to convert 50 cm to meters
With a ratio,
1 m: 100 cm
x m : 50 cm
1/100 = x/50
x = 50 * 1/100
x = 0.5 m
Whereas, the conversion factor says,
cm/100 = meters
50/100 = 0.5m
The conversion is easier to use since it skips many steps and produces an answer directly.

Answer: Please don't copy and paste my answer. Conversion is simpler if you have the conversion factor.

Step-by-step explanation:

Conversion factor is easier because it uses a known conversion.

for example: 1 foot = 12 inches or 12 inches = 1 foot

or 1 cm= __ mm or 1 m= ___ cm

please don't copy my work or anyone else's. Read what is here and put it in your own words.

Converting measurements using proportions is a little more difficult because you do not know the conversion factor immediately and you have to find it based on information you are given.

For example: lets say I'm playing Minecraft with my 5 friends and I want to make chests for every one in the group, but I haven't played in a long time so i forget the amount of wood needed to make a chest. It's easier for me to make the chests if i already have enough pieces of wood first rather than gathering, then making, then gathering more etc.

I do remember that i will have to go cut down trees to get logs of wood to turn into pieces to make the chest. If i collect 5 logs and go to the crafting table, I am able to turn those logs into 4 pieces per log so I have 5 logs = 20 pieces total.

Then I use all those pieces to craft chests and i discover that I am only able to make 2 chests and I have 4 pieces of wood left over. That means that it takes 8 pieces of wood to make 1 chest. To recap, I now know that 1 log= 4 pieces of wood and it takes 8 pieces of wood to make a chest, so I can say that 2 logs is what i should gather per chest i want to make.

Don't get confused here, I started working this out as a proportion conversion, not conversion factor... I'm just saying that when using a proportion that you still have to find a conversion rate of some kind. So, I guess in a way, we have changed using proportion conversion into a conversion factor because we now know the ratio of 2 logs = 1 chest ( 2 logs of wood= 8 pieces of wood= 1 chest, so 2 logs = 1 chest).

I want to make a chest for every one so now I have to figure out how many logs I need. There area total of 6 of us ( me and 5 friends). 6 people= 6 chests.

so 2 logs= 1 chest and ___ logs = 6 chests

you can also write this as 2/1 = x/6 where x represents the number of logs

2/1= 2 so you can simplify to 2=x/6

multiply each side by 6 to solve for x

12=x

i need to find 12 logs to make a total of 6 chests

So, now that you've read through all of this, the difference is really pretty small between using conversion factor and proportion to convert measurement. Conversion factor is where you already know the conversion and proportion means that you have to find the conversion factor to solve the equation. Don't copy and paste this. Every one is going to obviously say that conversion factor is easier. However, you have to use proportion if you do not already have a set, standard conversion.

Hope that helps!

Find the volume of each figure. Round your answer to the nearest hundredth, if necessary.

Answers

Formula for volume of cone:

V = $\pi r^(2) (h)/(3)$

r = 6 km

h = 12 km

V = $\pi 6^(2) (12)/(3)$

V = $\pi 36*4$

V = $\pi 144$

V = 452.389 km^3 <----------------------Using the calculators pi button

V = 452.16 km^3 <-------------------------Using 3.14 for pi

Hope this helped!

~Just a girl in love with Shawn Mendes

Baileys rectangular dog pen for his Irish settler must have an area of 300 square feet. Also the length must be 10 ft longer than the width. Find the dimension of the pen

Answers

Answer:

Width of rectangular pen = 10 feet

Length of rectangular pen = 20 feet

Step-by-step explanation:

We are given the following in the question:

Area of rectangular dog pen = 300 square feet

Let $x\text{ feet}$ be the width of the rectangular pen.

Then, length of the pen is given by:

$l= (x+10)\text{ feet}$

Area of rectangular pen = Area of rectangle

$A = l* w$

Putting values, we get

$200 = (x+10)x\n200 = x^2 + 10x\nx^2 + 10x-200 = 0\n (x + 20)(x - 10) = 0\nx = -20, x = 10$

Since, dimensions can never be negative, we get

Width of rectangular pen = 10 feet

Length of rectangular pen = 20 feet

Which sentence uses present tense?a. The catacombs was dark and cold, symbolizing death.
b. Fortunato loved wine, so he was vulnerable to the plan.
c. The piles of bones foreshadow Fortunato's fate.
d. Poe used many images of death and darkness.

Answers

As for this problem, the answer would most probably be and most likely be C. The piles of bones foreshadow Fortunato's fate.

In the first option, symbolizing wasn't used in present tense but a simple mixing of present and past tense. The more appropriate form of the sentence would be "The catacombs was dark and cold which symbolized death." This would be a lot more understandable and it will not create confusion to the readers because of the inconsistency of the usage of tenses. The second option and the last option would be both in past tenses. The correct one is used in plural present form.

Answer:

Step-by-step explanation:

c. The piles of bones foreshadow Fortunato's fate.

this sentence is talking about the past

i just took the test and it was incorrect the real answere is D trust me i just took the test

A concert is being held in your hometown. 1500 tickets are sold. Adult tickets are $10.50 and child's tickets are $7.50. If a total of $13950 worth of tickets were sold, determine how many adult tickets and how many child tickets were sold. 1st equation: 2nd equation: Solution: x = and y =

Answers

Answer:

x+y=1500

10.50x+7.50y=13950

multiply the first one by -7.5 to eliminate y

-7.5x-7.5y=-11250

3x=2700

x=900 adults for $9450

y=600 children for $450

Step-by-step explanation:

Pls help me i’m so stuck

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across y = -x, coordinates of the image point will be,

(x, y)→ (-y, -x)

Following this rule,

Vertices of the triangle will be,

(3, 1) → (-1, -3)

(3, -2) → (2, -3)

(6, -3) → (3, -6)

Therefore, image of the given triangle A will be,

(-1, -3), (2, -3) and (3, -6)

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1 1/3 divided by 3/5 and i wil name brainliest