there is a proportinal relationship between the volume of a sample of helium in liters and the mass of that sample in grams. if the mass of a sample is 5 grams, its volume is 28 liters. (5, 28) is shown on the graph below. what is the constant of proportionality in this relationship

plz help

Answer:

I just did this on my flvs exam! A:

The ordered pairs are

0,3

1,6

2,12

3,24

4,48

5,96

B: this is a function, because for each output value, there is exactly 1 input value

Step-by-step explanation:

Notice how output values are added to eachother as they increase

Answer:

There are 3 2/3 groups of 3/4 in 11/4

Answer: A pair of shoes that costs $20 is sold to the customer for $35, and A shirt that costs $12 is sold to the customer for $20.

Step-by-step explanation:

1. Half (or 50%) of 20 is 10, so 20+10=30, but 35 is bigger than 30.

2. Half (or 50%) of 12 is 6, so 12+8=18, but 20 is bigger than 18.

Answer:

-7

Step-by-step explanation:

it would be -7 because the more you go under the number becomes a negative but if you go above sea level the number becomes a positive!

Answer:7 feet below sea level is a lower elevation than 4 1/2 feet above sea level

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9 is 3 times larger than 3

10^7 is 10^5 times larger than 10^-2.

(just subtract the exponent)

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The L.C.M of the denominators is 30. Then, divide this 30 by the denominators respectively and multiply each quotient by each of their numerator. For example,6(the first denominator) divide 30=5,then multiply 5 by 1. Do this for all of them. Add the results and divide by 30. That is 42/30=1 2/5

Answer:

y = 21/5x

Step-by-step explanation:

y is directly proportional to x

y = kx

Find k constant.

21 = 5k

21/5 = k

Plug k as 21/5.

y = 21/5x

Answer:

y=21/5x

Step-by-step explanation:

When y is 21, x is 5.

5(21/5)=21, so we have y=21/5x

Hey there!

No, the graph is not a function because it has two of the same inputs, (7, -6) and (7, -7).

It also can't be a linear function because the graphs are not pointed to form a straight line.

Hope this helps!

Have a great day!

Answer: No

Step-by-step explanation: Since we can draw a vertical line that passes through two points on the graph, the relation is not a function.

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

Step-by-step explanation:

honestly irdk but the calculator can help with that

Answer:

144

Step-by-step explanation:

12 is big H

8 is the b.

3 is the height.

Put it in the formula and i believe you can solve it

Answer: 19.8

Step-by-step explanation: distribute -3.3 into -6 by multiplying them together

Answer:

The height of the object after 3 seconds is 45 feets.

Step-by-step explanation:

The height of an object thrown into the air with an initial upward velocity of 63 feet per second is given as

Where, h(t) is height of the object in feet and t is the time in seconds.

We have to find the height of the object after 3 seconds. So, substitute t=3.

Therefore height of the object after 3 seconds is 45 feets.

Answer:

Question A: A

Question B: C

Question C: B

Step-by-step explanation:

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer:

A/m=-2. since x goes up by 2 on the table, y decreases by 4 on the table, but if the next part of x on the table was 6, then y would be -2.

Answer:

You will run out of iced tea in 3 days (a total of 3 mornings and 3 evenings)

Step-by-step explanation:

Day 1 - 9.5 cups left

 14.25 - 2.5 - 2.25 = 9.5

Day 2 - 4.75 cups left

 9.5 - 2.5 - 2.25 = 4.75

Day 3 - 0 cup left

 4.75 - 2.5 - 2.25 = 0

Answer: You will run out of iced tea in 3 days

Step-by-step explanation:

2.5 + 2.25 = 4.75

14.25/4.75 = 3

Answer:

b

Step-by-step explanation:

it was pretty simple you just had to read

Answer:

m∠DEF is 90°

Step-by-step explanation:

It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have

⇒

⇒

and

⇒

⇒

Also,  

⇒

⇒

Now,

⇒

⇒

Thus, Pythagoras theorem holds.

Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.

DE^2 = 1 + 16 = 17.

EF^2 = 16 + 1 = 17.

DF^2 = 9 + 25 = 34.

Since (DE)^2 + (EF)^2 = (DF)^2,

angle E is 90 degrees.

DF must be the hypotenuse

Here look at that

Answer:

First, we know that:

1 1/3 = 4/3

10 2/3 = 32/3

15 minutes = 0.25 hours

Let's imagine that x (hours) is the time it takes Lee to type 32/3 pages.

From the information, we can tell that:

Lee can type:

4/3 pages in 0.25 hours

32/4 pages in x hours

So x should be:

x = (32/4 . 0.25)/4/3 = 2 (hours)

So it takes Lee 2 hours ro type 10 2/3 pages

Step-by-step explanation:

Answer:

I believe it's A.

Step-by-step explanation:

The formula for the perimeter of a rectangle: 2(l + w)

Since we have not found x, you would assume it hasn't been doubled yet by the 2. Since the width = 14, it is doubled to 28.

Next, we know from looking at the formula that l and w are added together, so inside the brackets is an addition problem. ( + 28)

Since we know that l = x and l has to be doubled, it will be = (2x +)

If we combine those two equations together it is =

2x + 28 = 48

Answer: 16

Step-by-step explanation: First you take care of what's inside the parenthesis which is x+2 and sine x=2 you should get 4. Then you do have 4(4). Which means all you need to do is multiple 4 times 4 and you get 16.

Answer:

The answer is the last one.

Step-by-step explanation:

When you do the others , they are step by step but when you do the last one, its just one step, which is -100.

Hope this helps :)

Answer:

True

Step-by-step explanation:

Looking at this topic generally force is used, if we look at the different countries across Europe at the beginning of civilization, there is lot of usage of force by the Aristocratic Governments. Even though it was prominent in Europe, there were also traces of it during the rule of Shang and Zhou dynasties of China. To support the citizens force is required, in the ancient times, use of force to make citizens obey the laws is a common practice. Nowadays in these countries the elite members who control the country reap the benefit and use of force is just to get themselves the money. Nowadays its all about Money.

False, because in aristocracy you are not forced to participate in the government.

Answer:

-9

Step-by-step explanation:

5(-9-4)

5(-13)

-65

4(-9+15)

4(6)

24

-65<24 so -9 is false because -65 is not smaller than 24

The solution is Option A.

The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

5 ( n − 4 ) < 4 ( n + 15 )

Now , on substituting the value of n as 80 in the inequality equation , we get

5 ( n − 4 ) < 4 ( n + 15 )

when n = 80

5 ( 80 - 4 ) < 4 ( 80 + 15 )

5 ( 76 ) < 4 ( 95 )

380 = 380

So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80

Hence ,

The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false

To learn more about inequality equation click :

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