Logan has an automatic hummingbird feeder in his backyard. He fills it to its capacity, 10 fluid ounces. Each day, it releases 1 fluid ounce of nectar.


Write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since Logan filled it, x.

Answers

Answer 1

Answer:

-1x+10

Step-by-step explanation:

Answer 2

The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:

y = 10 - x.

The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.

Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.

As each day passes, 1 fluid ounce of nectar is released.

Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:  y = 10 - x.

Here's an explanation of each component of the equation:

y: This represents the number of fluid ounces of nectar remaining.

As the days pass, this value will decrease as nectar is released.

10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.

x: This represents the number of days that have passed since Logan filled the feeder.

Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."

This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.

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Related Questions

Drag and drop the fractions to order them from least to greatest. 2/3 -4/5 1/4 -3/7

Answers

Step-by-step explanation:

I hope this helps out bye.

You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a black picture card.

Answers

Answer: 1 in 51

Step-by-step explanation:

Answer:

23/26

Step-by-step explanation:

A standard deck of cards has 52 cards.

The cards are divided into 13 cards of each of 4 suits.

2 suits are black and 2 suits are red.

Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.

The total number of cards in a deck is 52.

52 - 6 = 46

There are 46 cards that are not black suit cards out of 52 total cards.

p(not black face card) = 46/52 = 23/26

The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.

Answers

[tex]A=\pi ab\qquad \qquad \begin{array}{llll} a+b=20\\ b=20-a \end{array}\qquad \qquad \stackrel{\textit{substituting}}{A=\pi a(20-a)}\implies A=\pi (20a-a^2)[/tex]

The area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.

To write the area of the ellipse as a function of a using the given constraint a + b = 20, we first need to solve for b in terms of a and then substitute the expression for b into the formula for the area of the ellipse.

Given the equation for the ellipse:

x²/a² + y²/b² = 1

We have the constraint: a + b = 20

Now, let's solve for b in terms of a:

b = 20 - a

Now, we'll substitute this expression for b into the formula for the area of the ellipse:

Area (A) = πab

Area (A) = πa(20 - a)

Area (A) = 20πa - πa²

So, the area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.

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A golf retailer purchases its clubs from a wholesaler at $39 per club. It sells the same clubs to golfers at $76 per club. What is the markup on each club, as a percentage of the wholesale price?

Answers

Find the amount of the markup by subtracting:

76-39 = $37

Divide the amount of the mark up by the purchase price:

37/39 = 0.948 x 100 = 94.8%

Answer: 94.8 %. Round the answer as needed.

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answers

Answer: f(x) and g(x) are inverses of each other

========================================================

Explanation:

Start with the f(x) function. Then plug in g(x) like so

[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]

----------------------------

Now we'll start with the g(x) function and then plug in f(x)

[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]

----------------------------

We've shown that the two equations are true

f(g(x)) = xg(f(x)) = x

Therefore, f and g are inverses of each other.

Using the previous problem, what is the rate at which
the shadow changes when the person is 10 ft from the wall,
if the person is walking away from the wall at a rate of 2 ft/
sec

Answers

Answer:

It grows at a rate  

4/9 ft/second

Step-by-step explanation:

Which is equivalent to the expression below for a +5 minus a +2

Answers

Answer:

3

Step-by-step explanation:

Positive 5 minus 2 positive its just simple subtraction.

Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’

Answers

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

What is a finance charge?

Answers

What is a finance charge?

are a form of compensation to the lender for providing the funds, or extending credit, to a borrower. These charges can include one-time fees, such as an origination fee on a loan, or interest payments, which can amortize on a monthly or daily basis. Finance charges can vary from product to product or lender to lender.

Hope It's Help

Solution set for the equation x^2-6x+10=0

Answers

Answer:

3+2i, 3-2i

Step-by-step explanation:

no rational solutions

if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2

ANSWER FOR BRAINIEST!!!

How do you answer this and what did I do incorrectly?

Answers

Answer:

x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])

Step-by-step explanation:

Hi, these are not my strong point, Sorry if its incorrect.

6-[tex]\frac{2}{3}[/tex](x+5)=4x

I first did 6-[tex]\frac{2}{3}[/tex]

6/1 -2/3,  18/3-2/3 =16/3

[tex]\frac{16}{3}[/tex](x+5)=4x

I then expanded the bracket to get [tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]

[tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]=4x

Then I took away [tex]\frac{16}{3}[/tex]x from both sides to get.

5[tex]\frac{16}{3}[/tex]=4x-[tex]\frac{16}{3}[/tex]x

I then factorised x out

5[tex]\frac{16}{3}[/tex]=x(4-[tex]\frac{16}{3}[/tex])

I then divided by the bracket to get:

x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])

Answer:

4/7

Step-by-step explanation:

[tex]6 - \frac{2}{3} (x + 5) = 4x[/tex]

U take -2/3 into the brackets

[tex]6 - \frac{2}{3} x - \frac{10}{3} = 4x[/tex]

Put all values with x on one side

[tex]6 - \frac{10}{3} = 4x + \frac{2}{3} x[/tex]

Ensure that they all have the same denominator so that u can add and subtract

[tex] \frac{18}{3} - \frac{10}{3} = \frac{12}{3} x + \frac{2}{3} x[/tex]

[tex] \frac{8}{3} = \frac{14}{3} x[/tex]

Drop the denominator since they both have the same denominator

[tex]8 = 14x[/tex]

divide both sides by 14

[tex] \frac{8}{14} = \frac{14}{14} x[/tex]

[tex]x = \frac{4}{7} [/tex]

Answer fast plzz... i will give brainly

Answers

Answer:

1.15 inches

Step-by-step explanation:

I need this answer answed ASAP please..work out the area of the shaded shape

Answers

Answer:

Step-by-step explanation:

A = 8(14) - 5(14 - 5 - 2) = 77 m²

Answer:

77m (squared)

Step-by-step explanation:

The wheels on Jamie's bicycle are 3 feet
in diameter. Her younger sister Josie has
a bike with 12-inch wheels. What is the
ratio of Jamie's bike wheels to Josie's
bike wheels?

Answers

Answer:

a ratio of 3 or also 3/1 is a fraction is wanted

PLEASE HELP DUE NOW!!

Answers

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

I need help with a quiz

A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?

Answers

Answer: the area of the base will be multiplied by 4, since it will be changed from LW to

(2L)(2W) = 4LW

So, apply that to finding the new volume.

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.

The height of the prism will be given as,

960 = 80 x H

H = 960 / 80

H = 12 units

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

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PLS HELP i will GIVE BRAINLESS)!!!! Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table. a. List the players from worst score to best score. Show your work.SOLUTION b. Check your answer to problem 3a. Show your work. 3 Player Score Brett27 Ellema 21 Felipe 13 Jennifer 0 Kamal 12 Riley25

Answers

Answer:

0,12,13,21,25

Step-by-step explanation:

jennifer-0, kamal-12, felipe -13, ellma-21, riley 25

basically least to greatest order

Express as a single power.

Answers

[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]

find the slope and y-intercept of line x÷a+y÷b=1​

Answers

Answer:

slope:

-b/a

y-intercept:

1

Apply the distributive property to create an equivalent expression.
(6m -7)x4 =

Answers

Answer:

6mx^4-7x^4

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

What is 3/4+11/12= I can't figure this out

Answers

Answer:

1 2/3

Step-by-step explanation:

1 and 2/3

Andre draws a tape diagram for 3÷2/3

Andre says that 3÷2/3= 4 1/3 because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning

Answers

Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?

Answers

Answer:

Please give me Brainliest!

Step-by-step explanation:

President Kennedy's position on the expense of the space program was that  it would be well worth the high cost.

Explanation:

The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.

The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.

These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.

"One subtracted
from the
product of 4 and
a number is 11

Answers

4x-1=11 for some reason this needs to be 20 letters doodle doo

Write an expression that is the product of two factors and is equivalent to -2x - 10

PLEASE HELP

Answers

Answer:

-2(x + 5)

Step-by-step explanation:

Pls help I’ll brainlest and add extra points

Answers

Answer:

slope is -3

y intercept is 6

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses the y axis at 6

We need two points to find the slope (0,6) and (2,0)

m = ( y2-y1)/(x2-x1)

   = (0-6)/(2-0)

   = -6/2

   = -3

The slope is -3

Part A. What is the unit rate in dollars per hour for each company?


The unit rate for the 1st company is 2,86.


The unit rate for the 2nd company is 2,50.



Part B. Analyze Relationships Which company offers the best deal? Explain your answer.




Part C. What if? Another company offers a rate of $0.05 per minute. How would you find the unit rate per hour?

Answers

Answer:

i thinks its

the unot rate for the 1st company is 2,86

Step-by-step explanation:

Help help help math math

Answers

Ok done. Thank to me :>

Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3

Answers

The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)

Thus,

∠1 and ∠2 are on a straight line, therefore,

m∠1 + m∠2 = 180°

∠2 and ∠3 are on a straight line, therefore,

m∠2 + m∠3 = 180°

Thus:

m∠1 + m∠2 = m∠2 + m∠3

Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

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