(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?

A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

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Answer:

the polynomial function has 2 zeros

Step-by-step explanation:

f(x) = 0

⇔ x⁴ - 4x = 0

⇔ x³ × (x) - 4 × (x) = 0

⇔ x × (x³ - 4) = 0

⇔ x = 0  or  x³ - 4 = 0

⇔ x = 0  or  x³ = 4

\(\Leftrightarrow x = 0\ \ or \ \ x=\sqrt[3]{4}=1.587401051968\)

Answer:

\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)

Step-by-step explanation:

Given the expression

\(\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)\)

Remove parentheses: (a) = a

\(=5n^2-4nm-9m^2+7n^2+4nm+8m^2\)

Group like terms

\(=5n^2+7n^2-4nm+4nm-9m^2+8m^2\)

Add similar elements: \(5n^2+7n^2=12n^2\)

\(=12n^2-4nm+4nm-9m^2+8m^2\)

Add similar elements: \(-4nm+4nm=0\)

\(=12n^2-9m^2+8m^2\)

Add similar elements:  \(-9m^2+8m^2=-m^2\)

\(=12n^2-m^2\)

Therefore, we conclude that:

\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)

The average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] is 1.

A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.

The average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] can be determined by taking the difference of the output values of the function at the endpoints of the interval, and then dividing it by the difference of the input values of the interval.

The output of the function at x=3 is f(3)=9/-3*3 +4 = -5,
and the output of the function at x=5 is f(5)=9/-3*5 +4 = -3.

Therefore, the difference of the output values is f(5)-f(3) = -3 - (-5) = 2

The difference of the input values is 5-3 = 2

Therefore, the average rate of change of the function on the interval [3,5] is f(5)-f(3) / (5-3) = 2/2 = 1.

Hence, the average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] is 1.

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Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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The limit of f(x) as x approaches -6 from the positive side is 6.

When x gets closer to 2 on the positive side, we can see that the function seems to be heading towards a value of -8. As a result, f(x) has a limit of -8 as x approaches 2 from the positive side.

The function seems to be heading towards a value of 6 when x approaches 2 from the negative side. Hence, when x gets closer to 2 from the negative side, the limit of f(x) is 6.

The function seems to be getting closer to a value of 6 when x approaches -6 from the positive side. Hence, as x gets closer to -6 on the positive side, the limit of f(x) is equal to 6.

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The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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Answer: -7x+4y-z would be the answer

Step-by-step explanation:

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

x = -11

x = 62

Step-by-step explanation:

Given:

The range of a data set is the difference between its highest and lowest values.

The highest value of the given data set (excluding x) is 46.

The lowest value of the given data set (excluding x) is 5.

The difference between the highest and lowest values is:

⇒ 46 - 5 = 41

As the range is 57, x must be the actual highest or lowest value.

To find the value of x that makes it the lowest value of the data set, subtract the given range from the highest observed value of the data set:

⇒ x = 46 - 57 = -11

To find the value of x that makes it the highest value of the data set, add the given range to the lowest observed value of the data set:

⇒ x = 5 + 57 = 62

Therefore, the two values of x are -11 and 62.

Answer:

0.55199

Step-by-step explanation:

When we have a random number of samples, We solve using z score formula

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation

n is random number of samples

z = 0.83/77/√147

z = 0.13069

Probabilty value from Z-Table:

P(x<48.83) = 0.55199

The probability that the mean of the sample would differ from the population mean by less than 0.83 months is 0.55199

The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p

Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Using this given property, let's write the equation

We can subtract like terms (6.5p– 0.01p = 6.49p) to get:

2.3p – 10.1 = 6.5p – 0.01p – 4

2.3p – 10.1 = 6.49p – 4

Also, we can multiply both sides of the algebraic equation by 100:

(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100

230p – 1010 = 650p – 400 – p

Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers

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Answer:

(4, -10)

Step-by-step explanation:

A reflection over the y-axis results in a reversing of the x-coordinate.

Respectively, a reflection over the x-axis results in a reversing of the y-coordinate

Answer:

4,-10

Step-by-step explanation:

Reflection Over The Y Axis Would Change The Point -4 To 4 But The Y Axis Point Wouldn't Change

Answer:

No, he's wrong. 5 in the thousands place looks like this, 0.005. 5 in the hundreds place looks like this, 0.05. So therefore, the 5 in the hundreds place is 10 times greater than the 5 in the thousands place.

Step-by-step explanation:

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

Explanation:

Let point C represent the center of the planet.

Segment QC is 2810 miles long as it's one of the radii.

Segment DC is 1970+2810 = 4780 miles long after adding on the height of the mountain.

Triangle DQC is a right triangle. That allows us to use a trig ratio to determine theta. Specifically we'll use cosine.

cos(angle) = adjacent/hypotenuse

cos(theta) =  QC/DC

cos(theta) = 2810/4780

theta = arccos(2810/4780)

theta = 53.9942734 degrees approximately

A full 360 degree rotation takes 24 hours. We take a fraction of that to find how many hours it takes for that planet to rotate so point P ends up where point Q is currently located.

(theta/360)*24 = (53.9942734/360)*24 = 3.599618

That's the number of approximate hours it takes. Multiply that by 60 to determine how many minutes it takes.

3.599618*60 = 215.97708

Then that rounds to the final answer 215.98 minutes.

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

10000010

Step-by-step explanation:

10^7 is 10000000 plus 9 plus 1^3 which is 1.

10000000+9+1=10000010

Answer:

10000010

Step-by-step explanation:

Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.  

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

The value of t for which the rockets height is 25 meters is 40.7 seconds

From the information, the ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t².

Therefore, the values of t for which the rockets height is 25 meters will be:

h= 4 + 36t - 16t².

where h = 25

25 = 4 + 36t - 16t².

Collect like terms

25 - 4 - 36t + 16t² = 0

16t² - 36t -21 = 0

Using almighty formula

t = 40.7 seconds.

Therefore, the value of t for which the rockets height is 25 meters is 40.7 seconds

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When the product of a fraction and a factor is greater than the factor, it means that the fraction is greater than 1.

Due to the principles of multiplication, when multiplying a value greater than 1 with a given amount, the product will be larger than the original number. To provide an example, if we multiply 5 by 2, the result will be 10, which is greater than 5.

By extension, if we multiply a fraction with a factor that's greater than 1, the resulting product will be greater in size as compared to the initial quantity. For instance, when we calculate 1/2 multiplied by 3, the outcome is 3/2, which surpasses the worth of 1/2. Hence, it can be deduced that any result which exceeds its own source was obtained through multiplication by value greater than 1.

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The angle  made by one of the tensions suspending particle P is 50⁰.

The angle θ made by one of the tensions is calculated by applying trig identities as follows;

the force opposite the angle = weight of the block = mg

W = 7.75 kg x 9.8 m/s²

W = 75.95 N

The angle θ made by one of the tensions is calculated as follows;

cos θ = (38 N ) / ( 59 N)

cos θ = 0.6441

θ = arc cos (0.6441)

θ = 50⁰

Thus, the angle θ made by one of the tensions is determined as 50 degrees.

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The missing part of the question is in the image attached.

Answer:

\(p = 2\) if given vectors must be linearly independent.

Step-by-step explanation:

A linear combination is linearly dependent if and only if there is at least one coefficient equal to zero. If \(\vec u = (1,1,2)\), \(\vec v = (1,p,5)\) and \(\vec w = (5,3,4)\), the linear combination is:

\(\alpha_{1}\cdot (1,1,2)+\alpha_{2}\cdot (1,p,5)+\alpha_{3}\cdot (5,3,4) =(0,0,0)\)

In other words, the following system of equations must be satisfied:

\(\alpha_{1}+\alpha_{2}+5\cdot \alpha_{3}=0\) (Eq. 1)

\(\alpha_{1}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\) (Eq. 2)

\(2\cdot \alpha_{1}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\) (Eq. 3)

By Eq. 1:

\(\alpha_{1} = -\alpha_{2}-5\cdot \alpha_{3}\)

Eq. 1 in Eqs. 2-3:

\(-\alpha_{2}-5\cdot \alpha_{3}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\)

\(-2\cdot \alpha_{2}-10\cdot \alpha_{3}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\)

\((p-1)\cdot \alpha_{2}-2\cdot \alpha_{3}=0\) (Eq. 2b)

\(3\cdot \alpha_{2}-6\cdot \alpha_{3} = 0\) (Eq. 3b)

By Eq. 3b:

\(\alpha_{3} = \frac{1}{2}\cdot \alpha_{2}\)

Eq. 3b in Eq. 2b:

\((p-2)\cdot \alpha_{2} = 0\)

If \(p = 2\) if given vectors must be linearly independent.

The possible values of x are 3 and 7

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

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