A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice. What will be the concentration of apple juice in the drink if 6 gallons of 20% drink are added? Give the answer as a percent but do not include the percent sign (%).

Answers

Answer 1

Answer: 40

Step-by-step explanation:

Answer 2

The concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

What are Functions?

The function is a type of relation, or rule, that maps one input to a specific single output.

Given that the functions that model the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice.

f(x)=(2)(1.0)+x(0.2)²+x

If the concentration of apple when 2 gallons of apple juice are added to 6 gallons of the other juice;

f(6) = (2)(1.0)+ 6(0.2)²+ 6

f(6) = 2.0 + 6.24

f(6) = 8.24

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

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Related Questions

Elizabeth invested $7,800 in an account paying an interest rate of 7\tfrac{1}{8}7 8 1 ​ % compounded monthly. Mason invested $7,800 in an account paying an interest rate of 7\tfrac{3}{8}7 8 3 ​ % compounded continuously. To the nearest dollar, how much money would Elizabeth have in her account when Mason's money has doubled in value?

Answers

Answer:

$339

Step-by-step explanation:

List the Slope of this Equation: Y=-7/2x+3

Answers

The slope is -7/2

Y = mx + b

m stands for the slope (numerical coefficient for x)

PLEASE HELP ME WITH THIS ONE !!!

Answers

Answer: A & C

Step-by-step explanation: 3 + 4 = 7     5 -3 = 2

The answer is A and C

The radius of a circle is 3 5/12 inches
What is the diameter of the circle?

Answers

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

3 5/12 = 41/12

41/12 * 2 = 82/12 = 6 5/6

Answer: 6 5/12

Step-by-step explanation: i just took the k12 test and this is the corret answer

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=5800(0.806)^x

Answers

Using exponential function concepts, it is found that it represents a decay of 19.4%.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, the function is:

[tex]A(x) = 5800(0.806)^x[/tex]

Since the rate of change is less than 1, it is a decay.

Then:

1 - r = 0.806.

r = 1 - 0.806 = 0.194.

The function represents a decay of 19.4%.

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The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular

Answers

Answer:

angle

Step-by-step explanation:

A N G L E

A N S W E R

Find the area of the figure. Use 3.14 for it.
30 m
34 m
The area of the figure is about
m?

Answers

Answer:

963.73 m²

Step-by-step explanation:

To Find :-

Area of the figure

Solving :-

Area (figure) =  Area (triangle) + Area (semicircle)

= 1/2bh + 1/2πr²

= 1/2 (30 x 34 + 3.14 x 17 x 17)

= 1/2 (1020 + 289 x 3.14)

= 1/2 (1020 + 907.46)

= 1/2 (1927.46)

= 963.73 m²

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Answers

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality can she use to determine the number of shirts she can buy, x?​

Answers

Answer:

easy

Step-by-step explanation:

65=26=13x

you should be able to solve it from there, its legit just subtracting then dividing.

Y = – (x – 5)2 + 3
y = –3(x – 6)2 + x + 1
To make sure the flip is in unison, after how many seconds should the flip occur?

Answers

The flip should tur after 2.4 scon

How to find the point of intersection of two lines

Given the following functions expressed as:
[tex]Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1[/tex]

Equating both expression will give

-(x-5)² + 3 = -3(x-6)² + x + 1

-(x-5)²  +3(x-6)² + 3 - x - 1 = 0
-(x-5)²  +3(x-6)² + 2 - x = 0

-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0

x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0

4x² + 45x + 85 = 0

Factorize for the value of x

On factorizing, the value of x is 2.405

Hence the flip should tur after 2.4 sconds

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I know the first one, I just need help on b.

Answers

Answer:

its the one at about (8, 8000)

Step-by-step explanation:

If you look at all of the points, you can see the price constantly goes done as the car gets older. The only point away from the constant pattern is the one that is 8 years old, costing about 8000.

If a point is on the perpendicular bisector, then...
O It will cut the segment into two parts
O it forms a 90 degree angle all by itself.
O it is pretty
O It is equidistant from the endpoints

Answers

It forms a 90 degree angle by its self

You want to determine how quickly messages can spread on a social media website. On the first day, you
create a message that is shared with 2 people. On the second day, each of those people share it with 3 people.
On third day, everyone who received the message shares it with 3 more people, and so on. Write an equation
that represents the nth term of the geometric sequence. Then find as.

Answers

The equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

Equations

Given that you want to determine how quickly messages can spread on a social media website, and on the first day, you create a message that is shared with 2 people, and on the second day, each of those people share it with 3 people, and on the third day, everyone who received the message shares it with 3 more people, and so on, to write an equation that represents the nth term of the geometric sequence, the following calculation must be made:

2 x 3 x (3 x (3 x (3 x( 3 x ...)))) = X2x3x3^N = X6x3^N = X

Therefore, the equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

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Make a number line and mark the points that represent the following values of x.

−5≤x≤34

Answers

The expression −5 ≤ x ≤ 34 is an inequality expression

How to draw the number line

The expression is given as:

−5 ≤ x ≤ 34

This can be split as follows:

−5 ≤ x and x ≤ 34

The inequalities used in the expression are less than or equal to.

This means that the endpoints of the inequality are inclusive of the values of x.

So, the value of x starts from -5, and it ends at 34

See attachment for the number line

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What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).

Answers

The domain of the provide function where the function is defined is x less than the number three.

What is the domain of the function?

Domain of a function is the set of all the possible input values which are valid for that function.

The function given in the problem is,

[tex]y=\ln\left(\dfrac{-x+3}{1}\right)[/tex]

The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.

Thus, the function should be greater than zero as,

[tex]\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3[/tex]

Change the sign of both side, by changing the inequality,

[tex]x < 3[/tex]

Thus, the domain of the provide function where the function is defined is x less than the number three.

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Answer:

x<3

Step-by-step explanation:

edge 2022

For what values of a are the following expressions true? a +5 = −5−a ,a +5 = a + 5

Answers

Answer:

Step-by-step explanation:

What is the width rounded to the nearest whole number? (width = 13.62 ft)

Answers

Answer:

14

Step-by-step explanation:

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:

14

I’ve tried a couple different things and are still stuck some help would be great

Answers

Answer:

12×7×4+1=337

Step-by-step explanation:

if u did anything else it would be smaller and u can't use all multiplication because 12×7×4×1=336

The area of a rectangle is 54 square meters. The width is 9 meters long.

Answers

Answer:

A) [tex]9 *l=54[/tex]

Step-by-step explanation:

The area of a rectangle is w*l=A, where w is the width and l is the length.

In this question, we are given 2 of the variables. We are told that the width is 9 and the area is 54. So, to find the equation that represents this situation, simply plug in the values.

This gives [tex]9 *l=54[/tex].

Then, if needed we can find the length of the rectangle. Through the division property of equality, we know that dividing both sides of the equation maintains the equality of the equation. So, we can divide both sides by 9 to isolate the variable.

This means that [tex]l=6[/tex].

If f(–2) = 0, what are all the factors of the function f (x) = x cubed minus 2 x squared minus 68 x minus 120? use the remainder theorem.

Answers

Then all factors of the function f(x) = x³ – 2x² – 68x – 120 is (x + 2), (x + 6), and (x – 10).

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

If f(–2) = 0, that mean one root is –2.

The function f(x) = x³ – 2x² – 68x – 120

We have the one factor is (x + 2)

Then the function can be written as

f(x) = (x + 2)(x² – 4x – 60)

f(x) = (x + 2)(x² – 10x + 6x – 60)

f(x) = (x + 2)[(x(x – 10) + 6(x – 10)]

f(x) = (x + 2)(x – 10)(x + 6)

More about the factorization link is given below.

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Answer:

C

Step-by-step explanation:

edge2022

For the right triangles below, find the values of the side lengths c and h.
Round your answers to the nearest tenth.

Answers

Hope it helps… best of luck

Part A
What is the approximate area of each cross section of the cone and pyramid?

Type the correct answer in each box. Use numerals instead of words.

Answers

Both areas of the circle (cross section for cone) and the square(cross section for pyramid) was found using the

Area of Circle = πr^2Area of Square = Length * Width

Area of Flat Shapes

No Images were provided in this question, however, the cross section of a cone and a pyramid will result to the shapes of a circle and a square respectively when we slice them horizontally

Hence the area of the cross section of the cone can be estimated using the expression for the area of a circle

Area of Circle = πr^2

Also,  the area of the cross section of the pyramid can be estimated using the expression for the area of a square

Area of Square = Length * Width

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A plant is already 12.00 meters tall, and it will grow 15 centimeters every month. The plant's height, H (in meters), after x months is given by the following. H= 12.00 +0.15x What is the plant's height after 40 months?​

Answers

Answer:

495cm

Step-by-step explanation:

so for a second forget about the already 12 meters. Multiply 15 by the amount of months, in this case 40 so 12x40= 480. Then add the 15, so its 495cm tall

A small rectangular package has a area of 9x square units and a height of 5 units. A large rectangular package has an area of 6 square units a d a height of 3x units more than the small box. What equation could be used to determine the volume of the large rectangular box?

Answers

The equation to determine the volume of the rectangular box is:

V = 6 * (5 + 3x)

Given that the area of the large rectangular package is 6 square units and its height is 3x units more than the small box,

To determine the volume of the large rectangular package, multiply its area by its height.

Volume of the large rectangular package = Area of the large rectangular package * Height of the large rectangular package

The area of the large rectangular package is given as 6 square units, so we substitute it into the equation:

Volume of the large rectangular package = 6 * Height of the large rectangular package

Now, the height of the large rectangular package is 3x units more than the small box. The height of the small box is 5 units, so we add 3x to it:

Height of the large rectangular package = 5 + 3x

Substituting this into the equation:

Volume of the large rectangular package = 6 * (5 + 3x)

Hence, the equation to determine the volume of the large rectangular package is: Volume = 6 * (5 + 3x)

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help i need help! please help

Answers

Anwser: its the secend answer

Step-by-step explanation: have had the smae question

The local museum had 350 members only 20% of the members visit on any given Saturday what number usually on Saturday k

Answers

Answer:

70

Step-by-step explanation:

20% of 350 =

= 20% * 350

= 0.20 * 350

= 70

Which expression described a correct to find the missing number

Answers

Answer:

c

Step-by-step explanation:

it's 12x2 divided by 3

Answer:

c multiply by 2 divide by 3

Step-by-step explanation:

think of 12 as 12/1

multiply the numbers

it will be 24/3

divide

you get 8

anyone know the answer ​

Answers

Answer: 0.1 goes in the blank because the hundredths is improper

Step-by-step explanation:

Leila purchased a snack-size roll of candy tarts, and found that only 1/7 of them were grape-flavored. Suppose Leila later
buys a king-size roll of candy tarts that contains 40 pieces. How many of that roll can she expect to be grape-flavored?

HELP PLEASE!!!!!

Answers

Answer:

6 candy tarts

Step-by-step explanation:

Based on Leila's observations, we would expect all boxes of candy tarts to have 1/7 grape-flavoured ones. If we have a box of 40, we can find the expected number of grape flavoured nady tarts by multiplying 40 and 1/7.

40 × 1/7 = 5.714285714

You can round this to 6 candy tarts

find the measure of x

Answers

Answer:

3

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

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