How many packs of batteries can you buy with $39.78 if one pack costs $6.63?

Answer:

Step-by-step explanation:

y = a * x(x - 3)(x + 1)^2

2,12 is used to find the value of a

y = a (2)(2 - 3)(2 + 1)^2

12 = a (2)(-1)(3)^2

12 = a (2) (-1) (9)

12 = - 18*a

12/-18 = a

a = - 2/3

y = (-2/3)*x*(x - 3)(x + 1)^2

Answer:

38 muffins were sold by noon.

Answer:

38 muffins were sold

Step-by-step explanation:

percents can always be turned into fractions so 95% is actually just 0.95, you multiply that to 40 and you get 38, meaning 38 muffins were sold

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Answer:

4

Step-by-step explanation:

The missing value with a whole number is 4.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given that, 40 thousandths= hundredths

Let the missing value with a whole number be x.

Now, 40 thousandths= x hundredths

40 thousandths

= 40 ×1/1000

= 0.04

So, 0.04= x ×1/100

0.04×100=x

x=4

So, 40 thousandths= 4 hundredths

Therefore, the missing value with a whole number is 4.

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There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

b y=6x+50

Step-by-step explanation:

i got it right hope this helps

Answer:

B-y = 6 x + 50

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

the top one is the answer

To pass the given 3 tables to 3NF using Armstrong's Axioms, you need to follow a step-by-step process.

1. Identify the functional dependencies: Analyze the given tables to determine the functional dependencies between the attributes. Functional dependencies represent the relationships between the attributes.
2. Create the minimal cover: Use Armstrong's Axioms to reduce the functional dependencies to their minimal form. This involves removing redundant dependencies and combining overlapping ones.
3. Decompose the tables: Decompose the original tables into smaller tables, ensuring that each table represents a single theme or concept. The goal is to eliminate any partial dependencies.

4. Resolve transitive dependencies: Check for transitive dependencies, where an attribute depends on another attribute through a third attribute. If transitive dependencies exist, further decompose the tables until they are eliminated.
5. Verify 3NF compliance: Finally, ensure that all the tables satisfy the third normal form (3NF) requirements. Each non-key attribute should be dependent only on the key attribute(s) in a table.
By following these steps, you can successfully pass the given 3 tables to 3NF using Armstrong's Axioms.

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Answer:

The width of the foil = w = 2.5 inches

Step-by-step explanation:

We know that the Area of a rectangular piece:

\(A=wl\)

Here:

Given that area of the rectangular piece of foil:

Area = A = 11 1/4 square inches

               = 45/4 square inches

               = 11.25 square inches  

Length = l = 4 1/2 inches

                 = 9/2 inches

                 = 4.5 inches

Using the Area formula

\(A=wl\)

\(w\:=\:\frac{A}{l}\)

    \(=\frac{11.25}{4.5}\)

    \(= 2.5\) inches

Thus, the width of the foil = w = 2.5 inches

Answer:

Step-by-step explanation:

I think it would be 5

Answer:

Answer:

x = 6

Step-by-step explanation:

- 12x - 17 = - 89 ( add 17 to both sides )

- 12x = - 72 ( divide both sides by - 12 )

x = \(\frac{-72}{-12}\) = 6

Answer:u>2

Step-by-step explanation:

The quadratic function representing the given graph is f(x) = 2(x - 1)^2 - 3. This quadratic function is obtained by observing the key features of the graph, namely the vertex and the direction of the parabola.

In the given graph, the vertex of the parabola is at the point (1, -3). This gives us the vertex form of the quadratic function: f(x) = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

Since the vertex is at (1, -3), we substitute these values into the vertex form and solve for the coefficient a. This gives us f(x) = a(x - 1)^2 - 3.

To determine the value of a, we can use another point on the graph. From the graph, we can observe that when x = 0, y = -1. Substituting these values into the equation, we get -1 = a(0 - 1)^2 - 3, which simplifies to -1 = a - 3.

Solving for a, we find a = 2. Substituting this value back into the equation, we obtain the quadratic function f(x) = 2(x - 1)^2 - 3 as the desired function representing the given graph.

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The completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

First to complete the square for the given equation:

x^2 + y^2 + 8x - 6y - 15 = 0

We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.

x^2 + 8x + y^2 - 6y = 15

We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:

x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9

Now we can rewrite the left side of the equation as a sum of perfect squares:

(x + 4)^2 + (y - 3)^2 = 40

Therefore, the completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

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Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

The volume of pyramid A is ____ the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is ______the volume of pyramid A.

Since, volume of pyramid = \(\frac{1}{3}(\text{Area of the base})(\text{Height})\)

Volume of the pyramid A = \(\frac{1}{3}(\text{length}\times \text{Width})(\text{height})\)

                                          = \(\frac{1}{3}(10\times 20)(h)\)

                                          = \(\frac{200h}{3}\)

Volume of pyramid B = \(\frac{1}{3}(10)^2(h)\)

                                    = \(\frac{100h}{3}\)

Ratio of the volumes of the pyramids = \(\frac{\text{Volume of pyramid A}}{\text{Volume of pyramid B}}\)

                                                              = \(\frac{\frac{200h}{3}}{\frac{100h}{3} }\)

                                                              = 2

Therefore, volume of pyramid A is TWICE the volume of pyramid B.

If If height of the pyramid B increases twice of pyramid A,

Then the volume of pyramid B = \(\frac{1}{3}(100)(2h)\)

                                                   = \(\frac{200h}{3}\)

Ratio of volumes of pyramid B and pyramid A = \(\frac{\text{Volume of pyramid B}}{\text{Volume of pyramid A}}\)

                                                                            = \(\frac{\frac{200h}{3}}{\frac{200h}{3}}\)

                                                                            = 1

Therefore, new volume of pyramid B is EQUAL to the volume of pyramid A.  

Based on the calculations, the volume of this pyramid is equal to 1440 cm³.

Given the following data:

Length of right triangular base = 9 centimeters and 15 centimeters.

Height of right triangular base = 32 centimeters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height of a pyramid.

b is the base area of a pyramid.

Substituting the parameters into the formula, we have:

Volume = 1/3 × 9 × 15 × 32

Volume = 3 × 15 × 32

Volume of pyramid = 1440 cm³.

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Let x represent the horse age

Let y represent the human age

Since the horse age and human age vary directly, we have the relation

Introducing an equality sign, we

Where K is a proportionality constant, evaluated as

Since a 5-year-old horse is equivalent to 15-year old human,

x = 5

y = 15

we have

Thus,

Thus, for a horse who has lived 16 years

x = 16

Answer:

Yes, 2.01< 2.20

Step-by-step explanation:

Assuming the sample sizes are large enough, a two-sample z-test can be used with a significance level of 0.05.

To determine whether the proportion of individuals who developed heart problems differs between the experimental medication group and the placebo group, a hypothesis test can be performed.

Let p1 be the proportion of individuals who developed heart problems in the experimental medication group, and p₂ be the proportion in the placebo group. The null hypothesis is that the difference in proportions is equal to zero (i.e., p₁ - p₂ = 0), and the alternative hypothesis is that the difference in proportions is not equal to zero (i.e., p₁ - p₂ ≠ 0).

Using the given information, we can calculate the sample proportions, denoted by p₁ and p₂. Let x₁ be the number of individuals who developed heart problems in the experimental medication group, and x₂ be the number in the placebo group. Then:

p₁ = x₁/n₁

p₂ = x₂/n₂

where n₁ and n₂ are the sample sizes in the experimental medication and placebo groups, respectively.

Assuming the null hypothesis is true, the test statistic can be calculated using:

z = (p₁ - p₂) / √(p(1 - p) * (1 / n₁ + 1 / n₂))

where p is the pooled sample proportion, calculated as:

p = (x₁ + x₂) / (n₁ + n₂)

Using a standard normal distribution, the critical value for a two-tailed test with a significance level of 0.05 is ±1.96.

If the calculated test statistic falls outside the critical region (i.e., less than -1.96 or greater than 1.96), then we reject the null hypothesis and conclude that there is a significant difference between the two proportions. Otherwise, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in proportions.

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can see picture but i tried sorry

Answer: Your slope would be -2.

Step-by-step explanation:

So for this, I'm going to use the points (-5,10) and (-3,6).

The regular slope formula is Y2-Y1 over X2-X1. (Make it like a fraction with the Y2-Y1 as the numerator and the X2-X1 as the denominator.)

The first part is to substitute your 2 coordinates into each variable.

Y2 - Y1 = 6 - 10 = -4. | X2 - X1 = (-3) - (-5) = 2.

The second part is to divide the -4 you got from the y-coordinates, by the 2 you got from the x-coordinates.

And a rule when dividing negative numbers is that if you divide a negative by a positive, the quotient is going to be negative.

Thus, your slope is -2.

Answer: 5+5+12+12

Step-by-step explanation:

Answer:

\frac{170}{48}

Step-by-step explanation:

1\(\frac{1}{6}\) = \(\frac{7}{6}\)

2\(\frac{3}{8}\) = \(\frac{19}{8}\)

in order to add these fractions, we need the denominators to be same. We can multiply 6 and 8 to get 48.

In doing this, we need to multiply the numerators by the respective numbers also.

So, 7 (8) = 56 and 19 (6) = 114.

Add:

\(\frac{56}{48}\) + \(\frac{114}{48}\) = \(\frac{170}{48}\)

The value of the trigonometric function sin a is given by a and has a domain of -1 to 1. The value of a is calculated by sin⁻¹(a), and the output is given in radians.

The letter "a" represents the value of the trigonometric function (sin a), and the letter "t" represents the angle in radians in the equation t = sin⁻¹(a).

The inverse sine function is known as the arcsine function. It is a mathematical function that allows you to calculate the angle measure of a right triangle based on the ratio of the side lengths. The ratio of the length of the side opposite to the angle to the length of the hypotenuse is a, the value of the sine function.

In mathematical terms, this is stated as sin a = opposite / hypotenuse.

The output of the arcsine function is an angle value that ranges from -π/2 to π/2.

The value of the trigonometric function sin a is given by a and has a domain of -1 to 1. The value of a is calculated by sin⁻¹(a), and the output is given in radians.

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When attempting to persuade an audience that is neutral, you should refer to beliefs that many listeners share. Option A is the correct answer.

By identifying common ground or shared beliefs, you can establish a connection with the audience and create a foundation for your persuasive message.

This approach helps to build rapport and increases the likelihood of the audience being receptive to your ideas

When persuading a neutral audience, it is important to be clear, concise, and engaging in order to capture their attention and effectively convey the message.

By using these strategies, the speaker can increase the likelihood of persuading the neutral audience to take action or adopt a particular perspective.

When attempting to persuade an audience that is neutral, there are several strategies that can be employed. Firstly, it is important to establish credibility and trust with the audience by presenting relevant and reliable information from credible sources.

Secondly, it is important to appeal to the audience's emotions by using storytelling, humor, or personal anecdotes.

This can help create a connection between the audience and the speaker and help them see the issue from a more personal perspective.

Thirdly, it is important to anticipate and address any potential objections or counterarguments the audience may have , and to provide convincing evidence and logical reasoning to support the speaker's position.

The correct option is A.

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Complete Question

When attempting to persuade an audience that is neutral, you should __________.

a. refer to beliefs that many listeners share.

b. ask listeners for an immediate show of support.

c. consider making advocacy, rather than understanding, your goal.

d. acknowledge the opposing points of view that audience members may hold.

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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