Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.

Answer:

thankss

Step-by-step explanation:

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

Learn more about data here:

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Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

Maria completed a total of 8 laps in 16 minutes.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.

Assume that she completes [x] laps in 16 minutes.

x = L[walking] + L[Running]

x = (2 + 2) + (2 + 2)

x = 8

Therefore, Maria completed a total of 8 laps in 16 minutes.

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Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

B

Step-by-step explanation:

Answer:

5n+2m+3600nm^2

Step-by-step explanation:

Answer:

any line can pass through the point (2,2) so there needs to be a second point

Step-by-step explanation:

Answer:

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Prime Factorization of 80: 80 = 24 × 5.

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

This is true because of the communitive property that makes the numbers you multiply the same product in different orders

Step-by-step explanation:

Here is your answer

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

Answer:

The correct answer is A

Step-by-step explanation:

hope it will help you

Answer:

2+2=4

Step-by-step explanation:

thats the Anewer I know that it

Answer:

4

Step-by-step explanation:

Same thing as 2 x 2 = 4

[tex]\huge \bf༆ Answer ༄[/tex]

Let's calculate the volume of sphere with :

[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]

Now, plug the value of radius (r) and find volume ~

The value closest to it is 65.45

Therefore, that's the most appropriate choice ~

[tex] ꧁  \large \rm{kaul} \: ꧂[/tex]

Answer:

All

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5x+15+2=5x+17

2 Simplify 5x+15+25x+15+2 to 5x+175x+17.

5x+17=5x+17

5x+17=5x+17

3 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

we have: [tex](3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}[/tex]

so the triangle isn't a right triangle

ok done. Thank to me :>

Answer:

3x+4/2(x-1)

Step-by-step explanation:

Took the test

Answer:

D) 53.1

Step-by-step explanation:

we can use the soh,cah,toa rule

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

we would use tan because the opposite side of the angle is revealed as 12

the adjacent side of the angle is revealed as 9

there for

tan(theta) = 12/9

theta = arctan(12/9) = 53.1

arctan = tan^-1 = inverse of tan

Answer:

yes

Step-by-step explanation:

Answer: I don’t know

Step-by-step explanation: I don’t know because there is no numbers but the coldest Celsius I know is -273 degrees Celsius

Answer:

Ur answer buddy

+ - = +

Answer:

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

Is (x-2) is a factor of x³-3x²-x +7 –

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]

Now Put x = 2 into the polynomial –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]

________________________________________

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4