let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2

Answer:

22w - 18

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Answer:

2(10w-10)+2(w+1) =

20w-20+2w+2 =

22w-18

Answer:

Step-by-step explanation:

3,2

Answer:

2,3 because the point is inside the origin or equivalent so the answer has to be 2,3

Answer:

77 in.

Step-by-step explanation:

Peter: 75.25 in.

Steve: 75.25 in. + 1.75 in. = 77 in.

Answer:

11

Step-by-step explanation:

2x - 6 = 16 (Based on similarity)

2x = 16 + 6

2x = 22

x = 22/2

x = 11

Answer:

Both are equal prices per can

Step-by-step explanation:

9/12 = 3/4 = .75 per can

3/4= .75 per can

answe:

102/13.65= 7.47m/s

then multoply by 3600 to get per hour

26.9 km/h

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Answer:

18/12

Step-by-step explanation:

Answer:

5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back

Step-by-step explanation:

Answer:

Divisible by none

Step-by-step explanation:

9,953 is odd

9+9+5+3 = 2 + 6 = 8 (not divisible)

53/4 is not a whole number

9,953 doesn't end with 5 or 0.

9 + 9 + 5 + 3 = 26 (not divisible by 9)

9,953 has no 0 at end.

You are welcome!

Kayden Kohl

8th Grade Student

The number 9,953 is divisible by neither of the digits 2, 3, 4, 5, 9, 10.

The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.

Given, 9,953. Is this number divisible by 2, 3, 4, 5, 9, 10 or not.

A number is divisible by 2 if it's unit digit is divisible by 2.

A number is divisible by 3 if the sum of the digits is divisible by 3.

A number is divisible by 4 if the last two digits is divisible by 4.

A number is divisible by 5 if its unit digit is 5 or 0.

A number is divisible by 9 if the sum of the digits is divisible by 9.

A number is divisible by 10 if its unit digit is 0.

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Answer:

$3.07

Step-by-step explanation:

First add up all of the costs:

3.49+3.49+2.79+2.79+2.79=15.35

Then divide this by the 5 friends:

15.35÷5=3.07

Answer:

6

Step-by-step explanation:

Answer:

Observation

Step-by-step explanation:

He walked around seeing if every fifth person bought lunch

Survey - Requires asking questions

Simulation - Needs prior data to make an estimation

Experiment - Testing something

Observation - Just observing and watching

Study - Looking up data

The method he used to collect his data is observational method.

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.

Random experiment is done specifically to deduce conclusions, but it is done in a random manner.

We are given that;

He saw every fifth person in cafeteria

Now,

An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.

Therefore, by sampling the answer will be observational method.

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Answer

169

Step-by-step explanation:

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

Answer:

[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]

[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]

[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]

[tex] \\ = \frac{8 - 13}{12} [/tex]

[tex] \\ = \frac{ - 5}{12} [/tex]

Answer:

1.23 x 10^-2

Answer 1.085

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d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

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Answer:

After substituting We multiply 5 with 9.

Step-by-step explanation:

Given Expression 5 + ( 9x - 3 ) ÷ 2

5 + ( 9 × 5 - 3 ) ÷ 2

5 + ( 45 - 3 ) ÷ 2

5 + ( 42 ) ÷ 2

5 + 21

26

x = 5

explanation:

3 + 4.5 = 7.5 to get the side of the big triangle

set up a proportion

[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]

3x=7.5(2)..........cross multiply

3x=15.................multiply

x=5.....................divide both sides by 3

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]

3x = 15

x = 5

Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

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Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Answer: .55

55/100

Step-by-step explanation:

[tex] \large \text{answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

' X ' has no value, v should consider x has ' 1 '

Answer:

Than the other one is a good idea for the angle measured

Measures of angles 3 and 6 is 60°

Parallel lines are those straight lines that are always the same distance apart from each other.

Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)

Since m ║ n then

m ∠ 3 = m ∠ 6

(7x-10) = (5x+10)

2x = 20

x = 10

m ∠ 3 = 7x-10 = 7*10 - 10 = 60°

m ∠ 6 = (5x+10) = 5*10 + 10 = 60°

Hence, Measures of angles 3 and 6 is 60°

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Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

Answer:

32 seconds

Step-by-step explanation:

The median is the exact middle of the data after putting the data in order. In this example, it would be 32 seconds.

23, 23, 28, 31, 32, 34, 47, 49, 56

Answer:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Step-by-step explanation:

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.

Answer:

The first piece of information you need is the slope number and the second piece of information you need is the y intercept