A sequence is defined that the first term is 4 and each term after the first term is found by adding 4 5 to the preceding term. What is the 8th term of the sequence?

Answers

Answer 1

Answer: The 8th term of the sequence is 9.6
Hope this helped! :)

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The graph below shows the distance, y, in feet, of a mouse from its hole, for a certain amount of time, x, in minutes:Graph titled Distance Vs Time is shown with Time in minutes along the x-axis and Distance from Hole in feet along the y-axis. The scale on the x-axis shows the numbers 0 to 45 at increments of 9, and the scale on the y-axis shows the numbers 3 to 24 at increments of 3. A straight line joins the ordered pairs 0, 9 and 9, 12 and 18, 15 and 27, 18 and 36, 21. Based on the graph, what is the initial value of the graph and what does it represent? 0.23 foot per minute; it represents the speed of the mouse 9 feet; it represents the original distance of the mouse from its hole 0.23 foot; it represents the original distance of the mouse from its hole 9 feet per minute; it represents the speed of the mouse
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The ordered pairs (1,6), (,25), (3,36), (4,49) and (5, 64) represent a function. what is a rule that represents this function?

Answers

I believe this is a function. I am not sure because one of the pairs only has a y value.
But the rule is there can only be one x value for one y value so for example, you can have (3.7) and (3,9) and the same for the y values.

Plz Hurry In which number is the value of the digit in the ten-thousands place 10 times the value of the digit in the thousands place?

A.

80,846

B.

68,486

C.

88,604

D.

64,808

Answers

D I’m pretty sure because 8 times itself = 64

Answer:

i think its D

Step-by-step explanation:

i think its D

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5?y = x - 1/5
y = x + 1/5
y = 1/5x
y = 5x

Answers

Answer:

y = 1/5x

Step-by-step explanation:

quickly enter 0 1 2 3 4 5 for x

see what you get for y

for y = 1/5x you get the SAME number whenever you do y divided by x

x y

0 0

5 1

10 2

15 3

20 4

The equation that represents a proportional relationship with a constant of proportionality equal to 1/5 is:

y = 1/5x

A proportional relationship between two variables x and y can be written as:

y = kx

Where k is the constant of proportionality.

If k = 1/5, then the equation becomes:

y = (1/5)x

Which is the same as:

y = 1/5x

So out of the given options, y = 1/5x is the only equation that represents a proportional relationship with a constant of proportionality equal to 1/5.

The other equations have different constants of proportionality:

- y = x - 1/5 -> k = 1

- y = x + 1/5 -> k = 1

- y = 5x -> k = 5

Therefore, y = 1/5x is the correct equation with a constant of proportionality equal to 1/5.

Issa jogged 2/3 of the way home from school .Then he was tired ,so he walked the remaining 3,200 m how many kilometers did he travel from school to home

Answers

Answer:

9.6 km

Step-by-step explanation:

Issa jogged 2/3 of the way home from school.

Then he was tired, so he walked the remaining 3200 m.

In other words, the remaining 3200 m is 1/3 of the way from school to home.

Let the distance from school to home be x. Therefore:

$(1)/(3) * x = 3200\n\n=> x = 3200 * 3 \n\nx = 9600 m$

Therefore, from school to home he traveled 9600 m.

To put this is kilometres:

1000 m = 1 km

9600 m = 9600 / 1000 = 9.6 km

He traveled 9.6 km from school to home.

It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.

Answers

It takes Gary 1 hour to milk all the cows. 1 hour per job ==> 1 job per hour.

It takes Dana 1.5 hours. 1.5 hour per job ==> 1/1.5 job per hour.

Working together, they can do (1/1 + 1/1.5) job per hour.

To add these fractions, put them over a common denominator:

(1/1 + 1/1.5) = (1.5/1.5 + 1/1.5) = (2.5/1.5) = 5/3 job per hour.

5/3 job per hour ==> 3/5 hour per job.

3/5 hour = 36 minutes.

Solve 6/7 divided 36/56 and put answer in simplest form A.8/6
B.2/8
C.6/8
D.4/3

Answers

Answer:

Solve $(6)/(7)$ divided $(36)/(56)$ and put answer in simplest form

D. $(4)/(3)$

Step-by-step explanation:

The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and denominator should be multiplied by the other denominator after invert one of the fraction.

$(6)/(7)$ ÷ $(36)/(56)=(6)/(7)*(56)/(36)$