Isabelle made a punch for her birthday celebration by combining 6 liters of orange juice, 4 liters of pineapple juice, and 6 liters of soda. she then poured equal amounts of all the punch into 4 different containers. how much punch did francesca pour into each container?

Answer:

4

Step-by-step explanation:

Find and classify the global extrema of the following function:

f(x) = -x^3 + 5 x^2 + x

Find the critical points of f(x):

Compute the critical points of -x^3 + 5 x^2 + x

To find all critical points, first compute f'(x):

d/(dx) (-x^3 + 5 x^2 + x) = -3 x^2 + 10 x + 1:

f'(x) = -3 x^2 + 10 x + 1

Solving -3 x^2 + 10 x + 1 = 0 yields x = 1/3 (5 - 2 sqrt(7)) or x = 1/3 (5 + 2 sqrt(7)):

x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))

f'(x) exists everywhere:

-3 x^2 + 10 x + 1 exists everywhere

The critical points of -x^3 + 5 x^2 + x occur at x = 1/3 (5 - 2 sqrt(7)) and x = 1/3 (5 + 2 sqrt(7)):

x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))

The domain of -x^3 + 5 x^2 + x is R:

The endpoints of R are x = -∞ and ∞

Evaluate -x^3 + 5 x^2 + x at x = -∞, 1/3 (5 - 2 sqrt(7)), 1/3 (5 + 2 sqrt(7)) and ∞:

The open endpoints of the domain are marked in gray

x | f(x)

-∞ | ∞

1/3 (5 - 2 sqrt(7)) | -0.0490425

1/3 (5 + 2 sqrt(7)) | 21.9009

∞ | -∞

The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

The open endpoints of the domain are marked in gray

x | f(x) | extrema type

-∞ | ∞ | global max

1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither

1/3 (5 + 2 sqrt(7)) | 21.9009 | neither

∞ | -∞ | global min

Remove the points x = -∞ and ∞ from the table

These cannot be global extrema, as the value of f(x) here is never achieved:

x | f(x) | extrema type

1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither

1/3 (5 + 2 sqrt(7)) | 21.9009 | neither

f(x) = -x^3 + 5 x^2 + x has no global extrema:

Answer: -x^3 + 5 x^2 + x has no global extrema

The relative maximum point is point D.

The relative maximum point is determined by the slope.

Here the slope is represented by tan theta.

If we draw a tangent at every point of the curve then we observe that A has a positive curse and point D has a increasing curve which is almost equal to 90° and tan 90 is 1.  Point B and C however have a steady curve and tan 0 is 0.

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After dilation, the length of line segment A'B' is 6 units.

So, the length of line segment AB:

After dilation:

Therefore, after dilation, the length of line segment A'B' is 6 units.

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800 people in the cinema are eating popcorn by probability.

What does math probability mean?

Total people in cinema = 200

probability of choosing a person eating popcorn is = 0.25

people in the cinema are eating popcorn = 200/0.25

people in the cinema are eating popcorn     = 800

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Answer:

An is A and E

Plsss mark as brainliest

The slope of the ramp is m =  h/√(r² - h²).

What is mean by square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Let h = height of the landing.

And, r = the length of the ramp.

Then, the length from the ground where the ramp touches it, to the ground directly below the landing is

⇒ √(r² - h²)

And, The slope of the ramp is m =  h/√(r² - h²)

For example, if the ramp is 5 meters long and the landing height is 3 meters high, the slope of the ramp is 3/4.

As, Slope of the ramp (m) = 3/√(25-9)  = 3/√16  = 3/4

Thus, The slope of the ramp is m =  h/√(r² - h²).

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Answer:

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

The expression two hundred and fifty six x^4 minus one thousand two hundred and ninety six y⁴ will be 16(4²x⁴ - 9²y⁴)

It should be noted that expressions simply means one or more number or variables that are used to represent a data or a particular information.

It should be noted that two hundred and fifty six x⁴ minus one thousand two hundred and ninety six y^4 will be expressed as:

256x⁴ - 1096y⁴

In this case, there's a common factor between 256 and 1096. This will give a result as:

= 16(16x⁴ - 81y⁴)

= 16(4²x⁴ - 9²y⁴)

= 16[(4x)² - (9y²)²][(4x²)² + (9y²)²]

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Ratios  equivalent to 1:2 9:18 12:24 5:10​ are 13: 26, 4:8, 7:14, 15: 30 and many more.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given Data

ratios  equivalent to 1:2 9:18 12:24 5:10​ are

13:26

as [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

4:8

7:14

15:30

and many more.

Ratios  equivalent to 1:2 9:18 12:24 5:10​ are 13: 26, 4:8, 7:14, 15: 30 and many more.

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Answer:

<8=66°

Step-by-step explanation:

2 angles on a straight line will add up to 180° so

180-114=66.

<8,<4, <1, <5 all equal 66° since vertical angles are equal

Together, Bob and John will need 10 hours to finish the computer program with the given rate of working.

We divide the change in y (output) by the change in x to determine the average rate of change (input).

The amount of work finished in a single day if a task takes x days to complete is equal to 1/x.

It is given that In 30 hours, Bob can write a computer program. John can write a computer program in half the time that Bob takes.

Bob's rate =  B

John 's rate = J

B × 30 = J × 15

Rate of Bob = 1/30 h

Rate of John = 1/15 h

Total time(1/30 + 1/15) = Computer Program

(1/30 + 1/15) = Computer Program/Total time

0.099 = Computer Program/Total time

So, total time = 1/0.099 = 10 hours/computer program

Therefore, Bob and John will finish the computer program in a total of 10 hours.

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[tex]m = \frac{y - y1}{x2 - x1} \\ m = \frac{ - 7 - ( - 1)}{ - 8 - 1} \\ m = \frac{ - 7 + 1}{ - 9} \\ m = \frac{ - 6}{ - 9} \\ m = \frac{2}{3} [/tex]

I ALSO PROVIDED THE FORMULA TO USE.

HOPE THIS HELPS

Answer:

0.0533

Step-by-step explanation:

first remove the decimal points, then add a zero to the end.

205*

260  0*5,0*0,0*2=0. 6*5=30, but you carry the 3, so its another 0.

6*0+3=3

6*2=12

2*5=10, but you carry the one, so it is 0. 2*0+1=1

2*2=4

1230

4100=

5330, but we moved 0.26 2 spaces forward, and we moved 0.205 3 spaces forward too. in total, that makes 6 spaces, so now we have to move it back. 533-1 space

53.3-2 spaces           5.33-3 spaces          0.533-4   0.0533-5 spaces

Answer:total cost= 20x+50 x= number of hours

Step-by-step explanation: Gooooooooooooogle

Given:

Let the cost of chocolate bar be 'x'.

Cost of chocolate bar is $0.55

The scale factor that Noah apply to Polygon P to create Polygon Q is 3

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Area of polygon Q = (6 unit * 9 units) - (3 units * 3 units) = 45 unit²

Area of polygon P * scale factor² = area of polygon Q

5 * scale² = 45

Scale factor = 3

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The average rate of change per minute in the amount downloaded is 11.5 megabytes per minute

File size: 1400 megabytes

Start time of download: 7:00 pm

File size remaining to be downloaded: 825 megabytes

Time after one has done homework: 7:50 pm

Time elapsed: 50 minutes

File size downloaded: Total file size - File size remaining to be downloaded

= 1400 - 825 = 575 megabytes

Average rate of change per minute = File size downloaded/Time elapsed in minutes

= 575/50

= 11.5 megabytes per minute

So, the average rate of change per minute in the amount of download is 11.5 megabytes per minute

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answer; 6^8

explanations;

power rule for exponent; 2 x 4 = 8

The volume of the box is 287 and the height of the box is 3

The figure that completes the question is added as an attachment

On the figure, we have

So, the base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

Volume = 7 x 41 x 1^2

Evaluate

Volume = 287

The base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

123 = Height  x 41 x 1^2

Evaluate

123 = Height  x 41

Divide by 41

Height  = 3

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Answer:

[tex]x=5/3[/tex]

Step-by-step explanation:

[tex]9x+1=16 \\ \\ 9x=15 \\ \\ x=5/3[/tex]

The inequality which is represented by the dashed line and the description as in the task content is; y < Negative three-halvesx + 1.

It follows from the task content that the inequality which correctly represents the line is to be determined.

Therefore, first, the slope which is the rate of change of y to x according to the two points given is;

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

m = (-2 - 1)/(2 - 0)

m = -3/2.

Also, since the point, (0, 1) is given, the y-intercept of the line is; 1.

Therefore the equation of the dashed line is;

y = (-3/2)x + 1.

And ultimately, since the line is dashed and everything to the left is shaded, the required inequality is;

y < (-3/2)x + 1.

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Part (a)

A = {prime numbers between 10 and 16}

A = {11, 13}

B = {multiples of 3 between 10 and 16}

B = {12, 15}

A U B = union of set A with set B

A U B = {set of stuff from A or B or both}

A U B = {11, 12, 13, 15}

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

Part (b)

I'm assuming that you meant to write [tex]A \cap B[/tex]

If so, then this is the set of values inside set A and set B at the same time.

Since there is no common overlap between the sets A and B, we say that the answer is the empty set. We write the empty set as a pair of curly braces with nothing inside. Not even zero is a member of the empty set.

[tex]A \cap B = \{ \ \}[/tex]

we could also write the empty set using the symbol [tex]\varnothing[/tex]

So,

[tex]A \cap B = \varnothing[/tex]

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

Part (c)

Reason:

The weird looking E symbol in this context means "is inside" or "is part of"

In other words, a statement like [tex]11 \in B[/tex] translates to "11 is part of set B", which is a false statement. Recall that B = {12, 15}

If we said [tex]11 \in A[/tex], then it would be true since A = {11, 13} which shows 11 as one of the values of set A.

Answer:

Quadrant I

Step-by-step explanation:

Time and height must both be positive.

Answer:

y=1.75 that’s the unit or you can say the constant so I can do 1.75+1.75 and I would get 3.50

Step-by-step explanation:

Answer:

I believe so but I'm nor 100% sure

The ratios 5:3 and 6:4 are not equivalent.

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Equivalent ratios are those that are the same when compared. Two or more ratios can be compared to determine whether they are equal. For example, the ratios 1:2 and 2:4 are equal.

The given two ratios are 5:3 and 6:4. We can write them as 5/3 and 6/4

Let us apply subtraction, if we get 0 then these are equivalent.

6/4-5/3

The LCM of 4 and 3 is 12

=(18-20)/12

The value of 18-20 is -2

=-2/12

We have to divide 2 by 12 we get -1/6.

=-1/6 not equal to 0

Therefore, it can be concluded that the ratios 5:3 and 6:4 are not equivalent.

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Answer:

2 + 2 is 5

Step-by-step explanation:

everyone knows that

Answer:

Obviously its 22

Step-by-step explanation:

Use the horizontal number line, the statements which are true include the following:

A. –9 < –7

C. –1 > –3

A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.

In Mathematics, a number line typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In this context, we can reasonably and logically deduce that the following inequalities on a number line are either true or false:

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Complete Question:

Use the horizontal number line shown to answer the question. Which statements are true?

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1

Check all that apply.

A. –9 < –7

B. –6 = 6

C. –1 > –3

D. 0 < –3

Answer: A & C

Step-by-step explanation:

Answer:

$1.53

Step-by-step explanation:

Let x represent each bottle of juice, then the equation will be -->

2.45+18x=29.99

18x=29.99−2.45=27.54

Therefore, x=1.53

Each bottle of juice costs $1.53