Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.

Dots: (-3,0) (-2,0) (3,0)
Zeros: -2, -3, 3
Y-intercept: (0,18)​

Answer:

See below.

Step-by-step explanation:

The formula for slope is y²-y¹/x²-x¹.

9-8/1-10

1/-9, or -1/9.

-hope it helps

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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Answer:

28π, reasonable

Step-by-step explanation:

A. Circumference is 2πr (or dπ), so we plug in 14 for r

this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π

B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable

Answer:

9/21

Step-by-step explanation:

45 / 105 = 9/21 (simplified)

The exponential decay function which showing the relationship between y and t is y(t) = 800 (0.947)^t milligrams.

The formula for exponential decay is f(x) = ab^x, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.

Thus, in this case:

the initial amount of sample = 800 mg

rate of decay = 5.3%

Hence, f(x) = ab^x

y(t) = 800 (1 - 5.3/100)^t

y(t) = 800 (0.947)^t

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Step-by-step explanation:

8-11= -3

which means it negative number

Answer:

D, 20

Step-by-step explanation:

Put this in a calculator.

Or you can try to work it out yourself.

Have the equation written out.

5/1 / 1/4

Then divide

Hope this helps!

Answer:

20.

Step-by-step explanation:

Answer:

the question is blurry and it has a glare

Answer:

Step-by-step explanation:

will multiply the first equation with -2

-2x-10y=-40

i will add it now to the second equation

-2x-10y=-40

 2x-7y=9

-17y=-31

y=31/17

and x=185/17

A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias

An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number

The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.

A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

To multiply radical expressions with the same index, we use the product rule for radicals. \(\sqrt[n]{A}.\sqrt[n]{B} = \sqrt[n]{A.B}\)

To divide radical expressions with the same index, we use the quotient rule for radicals. \(\frac{\sqrt[n]{A} }{\sqrt[n]{B} } =\sqrt[n]{\frac{A}{B} }\)

Multiplying Radical Expressions :

Example,

given:  Multiply: \(\sqrt[3]{12} .\sqrt[3]{6}\)

Apply the product rule for radicals, and then simplify.

\(\sqrt[3]{12}.\sqrt[3]{6}=\sqrt[3]{12.6}\)

            \(=\sqrt[3]{72}\\=\sqrt[3]{2^{3} .3^{2} } \\=2\sqrt[3]{3^{2} } \\=2\sqrt[3]{9}\)

Dividing Radical Expressions

Example,

given: Divide: \(\frac{\sqrt[3]{96} }{\sqrt[3]{6} }\)

In this case, we can see that 6 and 96 have common factors. If we apply the quotient rule for radicals and write it as a single cube root, we will be able to reduce the fractional radicand.

\(\frac{\sqrt[3]{96} }{\sqrt[3]{6} } =\sqrt[3]{\frac{96}{6} }\)

      \(=\sqrt[3]{16} \\=\sqrt[3]{8.2} \\=2\sqrt[3]{2}\)

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Answer:

ok

Step-by-step explanation:

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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Answer:

Step-by-step explanation:

Step 1: You have the slope so its already y=-4x+b. So you need to find the y intercept.

To find the y intercept, you need to plug the coordinates in. So 2=-4(-3)+b. Then you solve the equation from there.  

Hope this helps!

Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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To calculate the magnetic field at point A due to the two long wires, you can use the Biot-Savart law.

The Biot-Savart law states that the magnetic field created by a current-carrying wire at a point is proportional to the current and inversely proportional to the distance from the wire.

The formula for the magnetic field due to a straight, long wire is given by:

B = (μ₀ / 4π) × (I / r),

where B is the magnetic field,

μ₀ is the permeability of free space (μ₀ = 4π × 10⁽⁻⁷⁾ T·m/A),

I is the current, and

r is the distance from the wire.

In this case, you have two wires with currents I₁ = 7.6 A

and I₂ = 2.4 A.

Let's calculate the magnetic field at point A due to each wire separately and then find the total magnetic field.

Magnetic Field due to Wire 1:

Using the Biot-Savart law, the magnetic field at point A due to Wire 1 is given by:

B₁ = (μ₀ / 4π) × (I₁ / r₁),

where r₁ is the distance from Wire 1 to point A.

Magnetic Field due to Wire 2:

Similarly, the magnetic field at point A due to Wire 2 is given by:

B₂ = (μ₀ / 4π) × (I₂ / r₂),

where r₂ is the distance from Wire 2 to point A.

Total Magnetic Field at Point A:

The magnetic field at point A due to both wires is the vector sum of the magnetic fields from each wire:

B_A = B₁ + B₂.

Now, substitute the given values for currents and distances to calculate the magnetic field at point A.

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Answer:

A.

Step-by-step explanation:

A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.

Choice B contradicts the previous statement.

Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.

Choice D is wrong because the y-intercept is where x = 0.

I hope this helps!

40 percent of 140 is equal to 56 and that makes 140 the unknown number

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.

We are asked to find 40% of a number which equals 56.

Let the unknown number = x

40/100 = 56/x

0.4 = 56/x

x = 56/0.4

x = 140

The number is 140

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The area of triangle XYZ when using YZ as the base, can be found to be 24 square units.

To find the area of triangle XYZ, we can use the Shoelace Theorem (also known as the Surveyor's Formula). Given the coordinates of the vertices, the area of the triangle is:

Area = (1/2) x |(x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2))|

Plugging in the coordinates:

Area = (1/2) x |(2(9 - 1) + 10(1 - 5) + 6(5 - 9))|

Area = (1/2) x |(2(8) - 10(4) + 6(-4))|

Area = (1/2) x |(16 - 40 - 24)|

Area = (1/2) x |-48|

Area = 24 square units

The area of triangle XYZ is 24 square units.

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The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -the coordinate for column 2.

What are the coordinates and vertex of an equation?

When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=a\(x^{2}\)+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient \(x^{2}\) is positive. The apex of the U-shaped curve should be at the top of the coefficient  \(x^{2}\) is negative.

In the given question, It is given:

The two equations are:

\(y=2x^{2}-4x+12\)

and,

\(y=4x^{2}+8x+3\)

We have to find the vertex of the x-coordinate.

So, for the equation: \(y=2x^{2}-4x+12\)

In Column 1:

\(\begin{aligned}y &=-2 x^2-4 x+12 \\&=-2\left(x^2+2 x-6\right) \\&=-2\left((x+1)^2-7\right)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is -1.

So, for the equation:\(y=4x^{2}+8x+3\)

In Column 2:

\(\begin{aligned}y &=x^2-4 x+3 \\&=(x-2)^2+(-1)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is 2.

So, Option b is correct.

Hence, The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -coordinate for column 2.

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The probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is the fraction 1/4, 0.25 as a decimal, 25% as a percent.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the number of Cheetos in her bag = 50

probability of selecting a hot Cheetos = 25/50

probability of selecting a cheese Cheetos = 25/50

the required outcome is the two hot Cheetos selected at random

the probability of getting a hot Cheeto and another hot Cheeto is calculated as follows:

25/50 × 25/50 = 1/2 × 1/2

25/50 × 25/50 = 1/4

Therefore, the probability of Vanessa selecting at random a hot Cheeto and another hot Cheeto is 1/4

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Answer:

727.5

Step-by-step explanation:

If Jarrod made 3 percent in commissions then y have to find what 97 percent of 750 is

The equation set up would be .97 times 750

750 times .97= 727.5

Answer:

The answer is 20

Step-by-step explanation:

There's two ways in which you can do this. The first one, and the simpliest one is finding the derivative of the equation P(x). After finding the derivative, set the dy/dx to be zero (so set the derivative to be zero). Then solve for x. This should give you the point at which there's no increase or decrease in the value of P, thus meaning the point at which its the maximum.

The second method is simply ploting a graph and finding the highest point.

The statement that the f distribution is always a left-tailed test is false statement about the f distribution. So, the right choice for answer option (a).

The F distribution (Snedecor's F distribution) represents continuous probability distribution which occurs frequently as null distribution of test statistics. Let two independent

chi-square variables are x and y with n₁ and n₂ with degree of freedom respectively. So, F-distribution is defined as F = ( X/n₁)/ (Y/n₂)

Characteristics : The F random variable is non-negative variable and the distribution is skewed to the right.

The F for left tail test both right-tailed &left tailed. So, the false statement is option(a).

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Complete question:

which of the following statements about the f distribution is false? group of answer choices

a) the f distribution is always a left-tailed test.

b) the f distribution is skewed to the right.

c)the f statistic is greater than or equal to zero.

d) as the degrees of freedom of for the numerator or denominator get larger, the curves approximates the normal distribution.