An albatross is a large bird that can fly 600 kilometers in 15 hours at a constant speed. Using LaTeX: dd for distance in kilometers and LaTeX: tt for number of hours, an equation that represents this situation is LaTeX: d=40td = 40 t . What are two constants of proportionality for the relationship between distance in kilometers and number of hours?

Answers

Answer 1

Answer:

The constant is 40

Step-by-step explanation:

According to the question we are given an equation that represents the given situation as d = 40t where;

d is the distance in km

t is the time in seconds.

The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;

p = kq (p and q are the variables)

A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t

Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.


Related Questions

Keith designs a game in which players work together to run a food truck business. During one game, the business loses $261. The four players share the loss equally. Write and solve an equation to represent the change in profit for each player.

Answers

Answer:

This is not very pog

Step-by-step explanation:

Answer:

Poggers

Step-by-step explanation:

Pog-ggers= Pogggers

Simplify. 12x • 3x plzzzzzzzzz answer fast ..

Answers

Answer:

36x²

Step-by-step explanation:

We multiply the 2 together:

12 · 3 = 36

x · x = x²

36x²

Answer:

36x²

Step-by-step explanation:

= 12x . 3x

= ( 12 . 3 ) ( x . x )

= ( 36 ) ( x² )

= 36x²

☆Detail :

________________________________

https://brainly.com/question/18508218

x-9=17 what’s the answer plz

Answers

Answer:

x=26

Step-by-step explanation:

x-9=17

1. add 9 to both sides:

x-9 +9 = 17 +9

x=26

2. check your answer by plugging the value of x back into the equation:

26-9=17

17=17, so the answer is correct

Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for $25 or processed further for $16 to make the end product industrial fiber that is sold for $57. The beet juice can be sold as is for $39 or processed further for $22 to make the end product refined sugar that is sold for $84. How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?

Answers

Answer:

Results are below.

Step-by-step explanation:

We will take into account the differential costs only. Therefore, the costs of sugar beets and to crush them are irrelevant to decision making.

Beet fiber:

Sold as is= $25

Continue processing= 57 - 16= $41

It is more convenient to process further the beet fiber.

Beet juice:

Sold as is= $39

Continue processing= 84 - 22= $62

It is more convenient to process further the beet juice.

HELP ME PLS PLS PLS The maximum number of oranges in a box of volume one cubic foot can be modeled by the inequality |x − 17| ≤ 5, depending on the size of the oranges. Solve the inequality to find the greatest and least numbers of oranges that could be in a box. Complete the explanation of how you found your answer.

The box can contain a minimum of ___ oranges and a maximum of ____ oranges. The inequality needs to be split into ____ and ____ before solving. The solutions to each of these inequalities can be combined to make ___ ≤ x ≤ ___

Answers

Answer:

The first two blanks are 12 and 22 and the last two blanks are 12 and 22

Step-by-step explanation:

HELPPP plssssz need answer fast like minato be

Answers

Answer:

x=16

Step-by-step explanation:

First, minus 80 from 180 because the sum of all the angles in a triangle is 180. Then use linear equations. 100=(4x-4)+(0.5x+32)

After that, you will get 100=4.5x+28

x=16

A board is 54.61 centimeters long.how long is the the board in inches?use the following conversion:1inch is 2.54 centimeters

Answers

Answer:

21.5 inches

Step-by-step explanation:

help me solve this:
16-x=x

Answers

Answer:

8

Step-by-step explanation:

16 - x = x

16 = x + x

16 = 2x

16 ÷ 2 = x

8 = x

A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before sales tax?

Answers

Answer:$19.20

Step-by-step explanation:

THIS IS ANOTHER FREEBIE FOR 15 POINTS, JUST SAY
"GEOMETRY' AS AN ANSWER

Answers

Answer:

GEOMETRY

Step-by-step explanation:

What is -21/9 x -18/7 ?

Answers

Answer:

The answer should be 6

Step-by-step explanation:

Sorry if I am wrong- but I hope this helps! :)

Calculate the value of k=xy​

Answers

Answer:

x times y

Step-by-step explanation:

k is the value of x times y

How do I find the length of the third side?​

Answers

Answer:

since it is a right triangle it is 35 i think

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

35^2 + b^2 = 37^2

1225 + b^2 = 1369

b^2 = 44

b = 12

Answer: 12

Find the distance between the parallel lines m and n whose equations are
(y = x + 4) and (y = x - 6.)

Answers

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4  = x - 6   add x, 6 to both sides

10 = 2x     divide both sides by 2

5  = x

So...using -x + 4, the y value  at intersection  = -1.......

So...we just need to find the distance from  (0,4)  to ( 5, -1)  =

√[ (5)^2 + (4 + 1)^2 ] =  5√2  ≈  7.07 units

Here's a pic....AB is the distance  with A = (0,4)  and B = (5, -1)

Step-by-step explanation:

2 × 14 ÷ ( 3 to the 2nd power − 2 )

Answers

Answer:

72

Step-by-step explanation:

so how do i so how do I solve to get this answer ​

Answers

Step-by-step explanation:

First, You would solve what you can which would be the equation on the left Which will get you 4096. After that its just solving for P

4096=(4^p)^2

64=4^p  (you would take the square root of 4096 to get 64)

Then, Since 64 is a perfect Cube root of 4, P will equal 3

(Please award this Brainliest and Thank the skeleton in your closet)

If m DGE=52 and FGE is a right angle, what is the measure of DGF

Answers

Answer:

DGF=38

Step-by-step explanation:

FGE is the total angle that adds up to 90 degree. We know that it is bisected into 2 separate angles where we know DGE is 52 but not DGF.

We use the following information above to make the equation x + 52 = 90 (x represent the unknown degree)

Then you just solve normally where you subtract 53 from 90 and get the solution of x=38.

What are the values of x in the equation shown?
2|3x – 4l= 20

Answers

Answer:

here it's 2 answers x=14/3 or x=22/3

is (-2, 1) (-1, 3) (0, -2) (1, 3) ( -2, 1)a function?

Answers

Answer:

Yes this is a function.

Explanation:

Functions are those that DO NOT REPEAT x values, in this case, you will see that -2 repeats twice as an x value, but it is expressing the same point, so it will not be considered as going twice.

I can also say that if you are to graph this:

Which is the decimal equivalent to 4 3/10?

Answers

4.3
Because 43/10 ( 4 3/10 ) = 4.3

You are loading 6 concrete blocks onto a wagon, one at a time. The linear function y=30x+25 represents the total weight y (in pounds) of the wagon and its contents after you have loaded x blocks?

Answers

Answer:

D

(0,25) (1,55) (2,85) (3,115) (4,145)

Step-by-step explanation:

Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.

Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)

Step-by-step explanation:

3m+8=15
[tex]3m + 8 = 15[/tex]

Answers

Answer:

m = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Given

3m + 8 = 15 ( subtract 8 from both sides )

3m = 7 ( divide both sides by 3 )

m = [tex]\frac{7}{3}[/tex]

Nicole accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Nicole's salary will be $100000 and after working for the company for 5 years, she will have a salary of $110000. Write an equation for S. S, in terms of
n, representing Nicole's salary after working
n years for the company

Answers

Answer:

  S = 100,000 + 2,000n

Step-by-step explanation:

The salary went up $10,000 in 5 years, so the average raise seems to be $2000 per year. Of course, the initial salary is 100,000. Then ...

  S = 100,000 + 2,000n

please helpppp me :(

Answers

Answer:

Very small

Step-by-step explanation:

Answer:

very small

Step-by-step explanation:

Scientific notation is used to shorten numbers that are either very large or small, so negative and positive aren't really relevant answers.

Now you have to determine if the number 9.3 x 10^-8 is very large or small.

When dealing with scientific notation, a negative exponent means the number was originally a decimal and a positive exponent means the number was very large. The exponent is negative 8 so it is very small.  

0.023 = 2.3 x 10^-2

2300. = 2.3 x 10^3

A rectangle is 11 inches long and 8 inches wide. Find its area.
A
88 square inches
B
96 square inches
с
81 square inches
D
19 square inches

Answers

Answer:

the answer is A:88 square inches

A is the correct answer

Help i'm confused.....

Answers

Answer:

the fourth one 2(4+n)

Step-by-step explanation:

you do 4+n

whatever the sum is you multiply that by 2

lmk if that helps

Plz help me 10 pointssss

Answers

Answer:

9,450ft in 3.5 minutes

Step-by-step explanation:

2700*3=8100

2700/2=1350

8100+3150=9450

1/2 (x-3) = 6

A. 13
B. 7
C. 15
D. 18

What is x!?!?!?!?!?!?!

Answers

Answer:

c which is 15

Step-by-step explanation:

15 - 3 is 12 and 12 split in half (or in case multiplied by 1/2) is 6.

Describe in your own words what a function is and include an example of a function?

Answers


A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x
x
is in the set of inputs (called the domain) then a function f
f
will map the object x
x
to exactly one object f(x)
f
(
x
)
in the set of possible outputs (called the codomain).
The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.


Example: x2 (squaring) is a function
x3+1 is also a function
Sine, Cosine and Tangent are functions used in trigonometry
and there are lots more!
But we are not going to look at specific functions ...
... instead we will look at the general idea of a function.

What is the slope of the line described by the equation below?
y-9= -2(x-8)

Answers

Answer:

-2x is the slope.

Step-by-step explanation:

y-9=-2(x-8)

y-9= -2x +16

y= -2x +25

m= -2

Answer: The slope is -2.

Step-by-step explanation: took the quiz.

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