The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3)=27?

A. # sides of the cube have a total length of 27 feet.

B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.

C. A cube with a volume of 3 cubic feet has side lengths of 27 feet.

D. 3 of these cubes will have a total volume of 27 cubic feet.

Answer:

Hi there!

Your answers are:

As the pizza size increases, the topping price increases and the base price increases

The small pizza:

Base price: $9.49

Price per topping: $1.39

The medium pizza:

Base price: $11.49

Price per topping: $1.59

The large pizza:

Base price: $13.49

Price per topping: $1.79

The XL pizza:

Base price: $15.49

Price per topping: $1.99

Step-by-step explanation:

small:

15.05- 12.27 = 2.78 for TWO toppings

2.78/ 2 = 1.39$ per 1 topping

12.27 - 2.78 = 9.49$ for a plain pizza

medium:

17.85-14.67 = $3.18 for TWO toppings

3.18/2 = $1.59 per 1 topping

14.67- 3.18= $11.49 for plain pizza

large:

20.65-17.07= $3.58 for TWO toppings

3.58/ 2 = $1.79 per 1 topping

17.07- 3.58= $13.49 for plain pizza

xl:

23.45- 19.47= $3.98 for TWO toppings

3.98/2 = $1.99 per 1 topping

19.47- 3.98 = $15.49

I hope this makes sense! Let me know if you need clarification!

Answer:

son2: 5

son1: 10

Step-by-step explanation:

2x (son1) + x (son2) + 35 (mother) + 3 (years)*3 (people) = 59

3x = 15

x = 5

The age of each boy at present will be 2 years and 3 years.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the age of the sons will be x and y.

A mother who is 35 years old has two sons, one of whom is twice as old as the other. Then the equation will be

x = 2y

In 3 years, the sum of all their ages will be 59 years. Then the equation will be

x + y + x + 1 + y + 1 + x + 2 + y + 2 + 35 = 59

Simplify the equation, we have

3x + 3y + 41 = 59

      6y + 3y = 59 – 41

              9y = 18

                y = 2

Then the value of x will be

x = 2y

x = 2(2)

x = 4

Thus, the age of each boy at present will be 2 years and 3 years.

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Answer:

i ithink number 2 or 4 hehehhehe yea

Answer:

feel like its C

Step-by-step explanation:

Hello!

For this type of problem, we are given a right triangle, and my go-to for finding a side length with another given side length and an angle value would most likely be the law of sines.

The law of sines states that:

\(\frac{a}{sin(A)}=\frac{b}{sin(B)}\)

In the given triangle, the \(a\) would be 45, and the opposite angle \(71\), would be the \(A\).

The same can be applied to the other side of the proportion.

\(x=b\)

The opposite angle of side \(x\) can be found using the definition of the combined angle of a triangle.

\(90+71+B=180\)

\(B=19\)

So now we can set up our proportion.

\(\frac{45}{sin(71)}=\frac{x}{sin(19)}\)

\(x=sin(19)*\frac{45}{sin(71)}\)

And we get that \(x\) is around 15.5.

Hope this helps!

Answer:

no, because for each input, there is not exactly one output.

Step-by-step explanation:

the relation is not a function because the input 0 has multiple outputs (1-to-many means that the relation is not a function).

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Answer:

\(Students = \frac{1}{50}\)

Step-by-step explanation:

Given

\(Track = \frac{1}{30}\)

\(Pizza = \frac{3}{5}\)

Required

The fraction of students in the school that ate Pizza

To do this, we simply multiply the fraction of track students and those among them that ordered pizza.

So, we have:

\(Students = Pizza * Track\)

\(Students = \frac{3}{5} * \frac{1}{30}\)

\(Students = \frac{1}{5} * \frac{1}{10}\)

\(Students = \frac{1}{50}\)

Answer:

ポイント

Step-by-step explanation:

ポイント

To find the margin of error for the poll at the 95% confidence level, we can use the formula:

Margin of Error = z * sqrt(p * (1 - p) / n)

Given that the sample size is 280 and the proportion of people who liked dogs is 48% (0.48), we need to determine the appropriate value of z for a 95% confidence interval. The value of z for a 95% confidence interval is 2.

Substituting the values into the formula, we have:

Margin of Error = 2 * sqrt(0.48 * (1 - 0.48) / 280)

Calculating this expression, we find:

Margin of Error ≈ 2 * sqrt(0.48 * 0.52 / 280) ≈ 2 * sqrt(0.2496 / 280) ≈ 2 * sqrt(0.000892)

Simplifying further, we get:

Margin of Error ≈ 2 * 0.0299 ≈ 0.0598

Therefore, the margin of error for this poll, at the 95% confidence level, is approximately 0.0598 or 5.98%.

The margin of error represents the maximum expected difference between the estimated proportion in the poll and the true proportion in the entire population. It indicates the level of uncertainty associated with the poll's results and helps determine the range within which the true proportion is likely to fall. In this case, at a 95% confidence level, we can expect the actual proportion of people who like dogs to be within 5.98% of the estimated proportion obtained from the poll.

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The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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An ellipse is described by this equation. It is a conic section because it has two variables, x and y, that are squared and multiplied together. The conic's shape is fixed because the equation also contains a constant.

An ellipse is described by this equation. It is a conic section because it has two variables, x and y, that are squared and multiplied together. A constant in the equation, 4x2 + 3xy + 5y2 - x - y = 0, shows that the conic's shape is fixed.  The equation is neither a parabola nor a hyperbola because it lacks any x or y terms. The equation therefore describes an ellipse. An oval-shaped closed curve known as an ellipse is produced when a plane and a cone intersect. The foci, or the two places at which the ellipse is symmetric, serve as its two defining points. The standard form of an ellipse, which is centred at the origin and contains the equation A(x2) + B(xy) + C(y2) + D(x) + E(y) + F = 0, is described by the equation provided. In this case, the constants are A=4, B=3, C=5, D=1, and E=1, and F=0. The major axis to minor axis ratio in the equation is 4:5, describing a moderately flattened ellipse. The equation can be used to determine the ellipse's area, circumference, and other parameters because it is symmetrical.

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Answer:

None

Step-by-step explanation:

Square roots of negatives are imaginary numbers.

3*sqrt(7)

3 times the square root of 7

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

Explanation:

I'm assuming the V stands for square root. You can write sqrt(63).

\(\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}\)

The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is \(\sqrt{x*y} = \sqrt{x}*\sqrt{y}\)

answer:

it will be rounded to 52

Answer:

Not sure what you are wanting the number to be rounded to, so I'll just put all of the options here:

To the nearest whole number: 52

To the nearest tenth: 51.9

To the nearest one hundredth: 51.89

Answer:

The multiplication property of equality was not performed correctly.

Step-by-step explanation:

You are supposed to divide by 3 instead of multiplying by 1/3.

Answer:

now you see 3x-2=9 if x was 5 then it would 15-2 which is 13. so the person did not check the multipulcation to see if it worked out.

Step-by-step explanation: so the answer is A

The probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤)

The given data says that of adults questioned reported that their health was excellent and a researcher wishes to study the health of people living close to a nuclear power plant. Among adults randomly selected from this area, only reported that their health was excellent.The total adults who participated in the study are not given, so we cannot calculate the probability of randomly selecting adults from the given area. But, we can find the probability of adults who have excellent health from this area that is less than or equal to .To find the probability, we can use binomial distribution theory.

A binomial distribution is a discrete probability distribution of the number of successes in a sequence of independent trials with a given probability of success in each trial.Mathematically, a binomial distribution is represented by:P(x) = (nCx) px(1−p) n−xHere, n is the number of trials, p is the probability of success, and x is the number of successes.Using the above formula, we can find the probability of randomly selecting x adults having excellent health from n adults who participated in the study.

The probability of randomly selecting or fewer adults having excellent health is given by the sum of probabilities of randomly selecting 0, 1, 2, … , , , adult(s) having excellent health.P(X≤x)= P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)Therefore, the probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤) using the given information.

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Answer:

answer is 2x+y = 20

Step-by-step explanation:

I did the test

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is -2. Then the equation of line will be

y = –2x + c

The line is passing through (6, 8), then we have

8 = –2(6) + c

8 = –12 + c

c = 8 + 12

c = 20

Then the equation of line will be

       y = –2x + 20

2x + y = 20

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

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Working Model: Properties of Rational Numbers (Addition and Multiplication)

Using colored blocks, demonstrate how the closure, commutative, associative, and distributive properties hold true when performing addition and multiplication with rational numbers. Show visually and explain the properties through manipulations and examples.

Materials needed:

Colored blocks (preferably different colors to represent different rational numbers)

Paper or whiteboard to write down the operations and results

Closure Property of Addition

Start with two colored blocks, representing two rational numbers, such as 1/3 and 2/5.

Add the two blocks together by placing them side by side.

Explain that the sum of the two rational numbers is also a rational number.

Write down the addition operation and the result: 1/3 + 2/5 = 11/15.

Commutative Property of Addition

Take the same two colored blocks used in the previous step: 1/3 and 2/5.

Rearrange the blocks to demonstrate that the order of addition does not change the result.

Explain that the sum of the two rational numbers is the same regardless of the order.

Write down the addition operations and the results: 1/3 + 2/5 = 2/5 + 1/3 = 11/15.

Associative Property of Addition

Take three colored blocks representing three rational numbers, such as 1/4, 2/5, and 3/8.

Group the blocks and perform addition in different ways to show that the grouping does not affect the result.

Explain that the sum of the rational numbers is the same regardless of how they are grouped.

Write down the addition operations and the results: (1/4 + 2/5) + 3/8 = 25/40 + 3/8 = 47/40 and 1/4 + (2/5 + 3/8) = 1/4 + 31/40 = 47/40.

Distributive Property

Take two colored blocks representing rational numbers, such as 2/3 and 4/5.

Introduce a third colored block, representing a different rational number, such as 1/2.

Demonstrate the distribution of multiplication over addition by multiplying the third block by the sum of the first two blocks.

Explain that the product of the rational numbers distributed over addition is the same as performing the multiplication separately.

Write down the multiplication and addition operations and the results: 1/2 * (2/3 + 4/5) = (1/2 * 2/3) + (1/2 * 4/5) = 2/6 + 4/10 = 4/6 + 2/5 = 22/30.

By using this working model, students can visually understand and grasp the concepts of closure, commutative, associative, and distributive properties of rational numbers through hands-on manipulation and observation.

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Answer:

Step-by-step explanation:

If you are saying, Y is more than 9, then use this- Y>9

If you are saying Y more than 9 equals ? then use this- 9+Y=?

Hope i helped you!!

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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The expression (√z√y√x)^8 is simplified to zyx

Square root of a number can be defined as a value, which by multiplying itself, gives the original number.

It is represented with the symbol " √ ".

The square root of a number is the direct opposite of squaring a number.

Given the expression;

Find the square root of z

\({\sqrt{z\sqrt{y\sqrt{x} } }}^8\)

Square root can be expressed as the power of 1/2

Then, we have'

\(z\sqrt{y\sqrt{x} } ^ 4\)

Find the square root of y

\((zy\sqrt{x} )^2\)

Find the square root of x

zyz

Hence, the expression is xyz

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The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,

⇒ 4x + 5y = 35

Here,

The given point is (5, 3) and slope is -4/5.

We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.

What is Equation of line?

The equation of the line that passes through the point (a, b) and has a slope of m is;

⇒y - a = m (x - b)

Now,

The given point is (5, 3) and slope is -4/5.

Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;

y - 3 = -4/5 (x - 5)

5 (y - 3) = -4 (x - 5)

5y - 15 = -4x + 20

4x + 5y = 20 + 15

4x + 5y = 35

Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is

⇒ 4x + 5y = 35.

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Answer:did you get the answer?

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

\(\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50\)

Answer: 49

Step-by-step explanation:

28÷8=3.5

3.5 is the number you multiply 14 by to get 49

Using the fundamental counting theorem, we have that:

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

Thus:

\(8 \times 9 \times 9 = 648\)

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

Then

\(648 \times 10^7 = 6,480,000,000 \)

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

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Answer: Number of possible area codes: 792

Amount of​ 10-digit phone numbers: 6,273,640,000

Step-by-step explanation: