A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x

Answers

Answer 1

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

m represents the slope or rate c represents the y-intercept

In this case, we have:

[tex]m = -2[/tex][tex]c = 10[/tex]

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

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Related Questions

What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6

Answers

[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]


I need help completing this question.

Answers

Answer:

9.73556* 10^34

Step-by-step explanation:

A day and a half is 36 hours  ( 1 day is 24 hours)

1.5 days is 24 * 1.5 = 36 hours

P(t) = 300  ( 2) ^ 3t

t = 36

p(36) = 300 * 2^ (3*36)

         = 300  * 2^108

         =9.73556* 10^34

Will give brainly,5 stars,and thank if it CORRECTLY PLEASE

Answers

Answer:

31.68

Step-by-step explanation:

1.4×9.15= 12.81

0.8×10.75= 8.6

2.6×3.95= 10.27

10.27+ 8.6+ 12.81= $31.68

Hope this helps!

Plz mark brainliest

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Pat is saving money to buy a bicycle. The amount he has saved is shown in the table below.





Which of the functions below describe the amount A , in dollars, Pat has saved after t weeks?

Select all that apply.


A(t)=15+15(t−1)

A(t)=30+15(t−1)

A(t)=15+15t

A(t)=15+30t

A(t)=15t

Answers

Answer:

I think A and C

Step-by-step explanation:

Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?

Answers

71.42 and to be exact it’s 71 miles
71 is the answer
Answer:

71 miles

Step by step explanation:

500:7 and u will have the average distance travelled each day


Please help!! I need this ASAP

Answers

Answer:

a= 2.5 times 42

Step-by-step explanation:

i had this class last year

i really need help... factor by the simplest form 46xy^5

Answers

The simplest form is 46xy
Since 46 can not be factor out, there is only one x which stay there, and is 5 so the two pairs of y will be canceled and one y left.

An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .

Answers

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

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Which inequality is true when x = 4?

Answers

Answer:

x + 5 < 3

Step-by-step explanation:

One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.

I WILL MARK BRAINLIST PLS!!! + explain

Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.


What does y represent in this scenario?


Question 5 options:


the cost of a hotdog



number of drinks purchased



number of hot dogs purchased



the cost of a drink

Answers

Answer:

the number of drinks purchased

Step-by-step explanation:

Answer:

2, the number of drinks purchased.

Step-by-step explanation:

one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.

Fred makes $750 a week working 5 days .How much does he make in one day

Answers

Answer:

$150

Step-by-step explanation:

750/5 = 150

antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake

Answers

Answer:

69

Step-by-step explanation:

150*(0.46) = 69 blueberry muffins

HEELPPP PPPPLSSSS AHHH

Answers

Answer:

3

Step-by-step explanation:

18/6=3

Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents

Answers

Answer:

B

Step-by-step explanation:

5x5 = 25

She used 5 bags and saved 5 cents on each one.

1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.

Hope that helps

emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.

Answers

Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64

Answers

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

[tex]f(x)=4x^4-64[/tex]

[tex]0=4x^4-64[/tex]

[tex]0=x^4-16[/tex]

[tex]16=x^4[/tex]

[tex]\pm2=x[/tex]

Please help! I’m so confused.

Answers

The answer would be 12.5 :)

Answer: M = 12.50

Step-by-step explanation:

35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...

Answers

Answer:

40th term = -1187

                 

Solve for x
−4x+60<72 OR 14x+11<-31

Answers

Answer for 1 - = x> -3
Answer for 2 I did 14x+11-31 not sure it what u meant but answer is = 14x-20,

Answer:

  x ≠ -3

Step-by-step explanation:

Adding 4x-72 to the first inequality gives ...

  -12 < 4x

  -3 < x . . . . . divide by 4

Adding -11 to the second inequality gives ...

  14x < -42

  x < -3 . . . . divide by 14

Now we have ...

  x < -3 or x > -3

The solution is x ≠ -3.

_____

The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.

How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars

Answers

Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts

Answers

Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True

Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Answers

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hourWeekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

Earnings = $7 per hourWeekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

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What is the value of 24 + 32 - 52

Answers

The answer to you question is 4

FOR BRAINLIEST

А is equivalent to 0.001 grams.

milligram

kilogram

decigram

Answers

Answer:

one milligram

Step-by-step explanation:

Answer:

milligram

Step-by-step explanation:

1,000 mg = 1 g

1 mg = .001 g

From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?


Plz write the steps cause i want to understand it bcuz tomorrow is my exam

Answers

Answer:

0.039 hectolitres are left in the can

Step-by-step explanation:

One hectolitre equals 100 liters

The can:

10-3.8-2.3=3.9 liters

In hectolitres:

3.9/100 = 0.039

Hope this helps

A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe

Answers

Answer:

cool good me hungry i am kinda hungry

Step-by-step explanation:

If a dozen exercise books cost $144, what will 14 of the same books cost? *​

Answers

Answer:

$168

Step-by-step explanation:

1  dozen = 12

proportions

12 books ⇔ $144

14 books ⇔ $B

B = 144*14/12

B = $168

what is the following product 3 sqrt 4 times sqrt 3

Answers

Answer:

c on edge YW

Step-by-step explanation:

The value of ∛4 × √3 is 2.75 or  [tex]\sqrt[6]{432}[/tex].

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Expression,

product 3 sqrt 4 times sqrt 3.

In numerator form:

As per the given expression,

∛4 × √3

Simplifying,

∛4 × √3

= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]

= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]

= [tex]\sqrt[6]{16 + 27}[/tex]

= [tex]\sqrt[6]{432}[/tex]

= 2.749

= 2.75

Therefore, the product is 2.75 or  [tex]\sqrt[6]{432}[/tex].

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What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?

Answers

Answer:

if it is (2x-y)8

then it is 16x - 8y

[tex]x^0[/tex]y = 1.y = y

so the co efficient of y is -8

Step-by-step explanation:

write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)

Answers

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

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