Let y= 2t + 5 be a linear function representing the distance, in feet, from home for an ant t minutes after starting out from a location near its home. What does the number 2 represent in this function?

Answers

Answer 1

Answer:

2 represents the slope

Step-by-step explanation:

Given the linear function representing the distance, in feet, from home for an ant t minutes after starting out from a location near its home expressed as

y = 2t + 5. This function is a linear function of the form y = mx+c where;

m is the slope (change in y with respect to x)

c is the intercept

Comparing this standard equation to y = 2t + 5, we will see that 2 represents the slope m which is change in the distance covered in feet with respect to the time taken


Related Questions

What is 5/9+7/12? as a fraction in simplest form?

Answers

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

HELP ONLY DO 3,1,2 ITS ONLY # PROBLEMS PLZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

3. 68.44

2.25 percent

1.86

Random Questions To Answer For Points.

1) Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who walks 42 feet in 6 seconds?

Answers

Answer:

The rate is the distance divided by the time.

  60 feet in 10 seconds   =   60 ft / 10 sec   =  6 ft / sec

  42 feet in 6 seconds   =   42 ft / 6 sec   =   7 ft / sec    <--- We have a winner!

Step-by-step explanation:

Solve for y.
-2(y-7) =9y – 30
Simplify your answer as much as possible.

Answers

Answer:

y=4

Step-by-step explanation:

-2(y-7)=9y-30

Do distributive property

-2y+14=9y-30

Move the terms

-2y-9y=-30-14

Collect like terms

-11y=-30-14

Calculate the difference

-11y=-44

Divide both sides by -11

y=4

When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

Given:

Oven's temperature rose 3 degrees in [tex]\dfrac{1}{6}[/tex] of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in [tex]\dfrac{1}{6}[/tex] of a minute [tex]=3 \text{ degrees}[/tex]

Oven's temperature rose in 1 minute [tex]=6\times 3 \text{ degrees}[/tex]

                                                             [tex]=18 \text{ degrees}[/tex]

Therefore, the oven's will heat up 18 degrees in 1 minute.

Answer:

18

Step-by-step explanation:

therefore it will be 18 degrees in 1 min

finding the domain and range ​

Answers

Answer:

Domain: -inf to inf

Range: -1, inf

Step-by-step explanation:

what a fraction has numerator 12 and is equivalent 3/4?
9/12
12/13
9/16 or 12/16

Answers

Answer:

Step-by-step explanation:

9/12

12/16 bc 12 is four times 3 so you multiply also the denominator for 3 and you get 12/16

What is the standard form of –23f² + f/2 = –√3?​

Answers

Answer:

y = -23f^2 + 1/2f + √3

Step-by-step explanation:

Standard form: y = ax^2 + bx + c

x = f

a = -23

b = 1/2

c = √3

–23f² + f/2 = -√3

-23f² + f/2 + √3 = 0

y = -23f^2 + f/2 + √3

y = -23f^2 + 1/2f + √3

There is a wall of 13 feet long and you want to hang three equally-sized travel posters of 2 feet width, on a wall so that the posters on the ends are each 1.75 feet from the end of the wall. You want the spacing between posters to be equal. Write and solve an equation to determine how much space you should leave between the posters.

Answers

Answer:

Spacing between the posters will be 1.75 each

Step-by-step explanation:

We are given

The length of the wall = 13ft

width of the poster = 2ft ⇒2*3=6ft for three posters

Poster's from end of the wall = 1.75*2 = 3.50ft

let the spacing be = x ⇒ 2x for two spacing between three posters

Total length of the wall = 6 + 3.50 + 2x = 13

2x + 9.50 = 13

2x = 3.50

x = 1.75ft

So the spacing between the posters will be 1.75 each

please can you answer this whole page please

Answers

Answer:

.......................................................................................

Find the slope of the line that passes through (9,8) and (6,4)​

Answers

Answer:

the slope is 4/3

Step-by-step explanation:

your welcome :D

Answer:

slope=2

Step-by-step explanation:

(3,2)

(7,10)

10-2=

7-3=

8/4=2/1=2

Help Asap!

find the equation that is parallel to a line 5x-2y=14 and passes through the point (-3,2)

Answers

Answer:

y=-5x-13

Step-by-step explanation:

y=-5(-3)-13

Prove that this equation is true.

Answers

First to answer

Answer:

The answer is True:

Let's solve your equation step-by-step.

1/n−1 = 4/15

Step 1: Cross-multiply.

1/n−1 = 41/ 5

(1)*(15)=4*(n−1)

15=4n−4

Step 2: Flip the equation.

4n−4=15

Step 3: Add 4 to both sides.

4n−4+4=15+4

4n=19

Step 4: Divide both sides by 4.

4n/4=19/4

n=19/4

simplify:

19/4 = 4.75

4.75 in decimal for is equal to 4 3/4

50 ton is what percent of 85?

Answers

Answer:

58.82

Step-by-step explanation:

Answer:

58.8

Step-by-step explanation:

I think it’s 58.8 sorry if it isn’t

Need help ASAP!?

Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5

Answers

Answer: The correct answer is B) 19.5(sin35)

Step-by-step explanation:

I took the practice

Write the equation of a vertical line that goes through (2,-1)

Answers

the equation would be ... Y = 2x + (-5)

If y = 12 when x = 6, determine y when x = 18.

Answers

when x=18, y will be 36

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Cercul cel mai mare are raza a unitati (imagine atasată). Cercurile cele mai mici au raza de c unitati. Celelalte doua (medii) au raza de b unitati. Stiind ca toate cercurile sunt tangente, demonstrati ca a : b : c = 6 : 3 : 2.
Stiu ca trebuie sa folosesc Pitagora si sa arat ca a=3c. Dar in rest m-am blocat si e super importanta problema. Va multumesc FOARTE mult. Puteti efectiv doar sa mi dati hints pentru ca de abia mi-am facut contul si am doar 25 de puncte. V-as fi dat 100.

Answers

mathematic that is not math

A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.

Answers

Answer:

167%

Step-by-step explanation:

1800/300=$6 apiece

6x = 10

10/6 = x

x = 1.67, or 167%

There are some parallelograms that are rectangles.
A. True
B. False

Answers

A. True because rectangles two sides of opposite parallel
A. True because rectangles have two opposite sides that are parallel of each other

James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would the new balance of the account be after 3 years?

Answers

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

Solution :

Interest on $3500 after 3 years is :

[tex]I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5[/tex]

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

Hence, this is the required solution.

Find the distance when y2=9, y1=13, x2=4, and x1=0.

Answers

Answer:

Tthe distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:

[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]

Step-by-step explanation:

Given the points

[tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex][tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex]

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(4-0\right)^2+\left(9-13\right)^2}[/tex]

[tex]=\sqrt{4^2+4^2}[/tex]

[tex]=\sqrt{4^2\cdot \:2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{2}\sqrt{4^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=4\sqrt{2}[/tex]

Therefore, the distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:

[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]

An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?

Answers

Complete question :

An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.

1) What is the total amount in the account if the interest rate for the account is 3% each year?

Answer:

2,431.311498

Step-by-step explanation:

Given that:

Growth factor (x) = (1 + r) per year

If rate (r) = 3% = 0.03

x = 1 + 0.03 = 1.03

Amount in account after 4 years is given by the function :

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

Put x = 1.03 to obtain the total amount ;

A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

Hence, total amount in account after 4 years = 2,431.311498

if AB = BC and BC = CD, then AB = CD

Answers

Answer:

correct

Step-by-step explanation:

8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 customers 16 minutes 8 customers 16 minutes Resize the right columns to represent the unit rate. Resize these You must answer all questions above in order to submit.

Answers

Answer:

2min/customer

Step-by-step explanation:

If 8 customers entered a store over the course of 16 minutes, then;

8 customers = 16 minutes.

The rate at which the customers are entering is expressed as;

Rate = Time (in minutes)/amount of customers;

Given

Time = 16 minutes

Amount of customers = 8 customers

Rate = 16min/8customers

Rate = 2min/customer

Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.

Least common denominator of 6/7 and 5/14

Answers

Answer:

14

Step-by-step explanation:

You can‘t simplify 5/14 because 5 is a prime number. So, now you have to convert the 6/7 to 12/14 to match it up to 5/14. They now have a common denominator of 14.

Hope this helps! :)

Len is planning a three-hour trip down the Allenem River and back to his starting point. He
knows that he can paddle in still water at 3 milh and that the rate of the current is 2 milh.
How much time can he spend going
downstream?

Answers

Answer:

Step-by-step explanation:

resources. This includes fostering the wisest use of our land and water resources, ... Back Cover: Geologist John B. Mertie exploring the Brooks Range, April 1924. ... I would like to thank Lynn Horvath for her wise counsel and ... focuses more broadly on exploration as a his- ... he paused several times to meet with Eskimo.

What is the average rate of change of the function from x=-5 to x=7

Answers

it would be positive 12 right? it’s just asking for the distance ?

Write an equation of the line with a slope of 2 and y-intercept of 9.

y=

Answers

Here’s one equation. y=2x+9

Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?

Answers

Answer:

speed=distance÷time

Step-by-step explanation:

time×speed=distance

distance =6×0.16=0.96 km

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