how do you solve quadratic equations?hoq doyou solve quadratic equations if a does not equal 1?

Answer:

heather bought 37 yards of ribbon

Step-by-step explanation:

25-22.04=2.96

2.96/0.08=296/8

296/8=37

Answer:

Step-by-step explanation:

$25 - $22.04 = $2.96

$2.96 / 8 cents = (Not sure how American currency works, so you'll have to do the calculation yourself, my apologies)

The answer to that is your answer

Answer:

3

Step-by-step explanation:

Prime numbers are numbers that have two factors thus 1 and the number itself . Example; 2 ,3,5 ,7 and 11

Also 0 and 1 is not a prime number

Answer:

C. \(\displaystyle 3\)

Step-by-step explanation:

Prime Numbers consist of two factours -- 1 and that number. Just so you know, you can AUTOMATICALLY eliminate the first two choises because those two numbers are not composite nor prime. Now, I can predict that your next lesson will probably be about prime factorisation, in which you have to find the prime factorisation of numbers, using two methods:

Factour Tree Ladder Diagram

3 3|3

| ⁻⁻

3 1

Factour Tree Ladder Diagram

9 3|9

/\ ⁻⁻

3 3 3|3

⁻⁻

1

So, the prime factorisation of 9 is \(\displaystyle 3^2,\)and the prime factorisation of 3 is 3.

I am joyous to assist you at any time.

The factored form of the quadratic equation is given as follows:

y = 3(x + 0.6667)(x - 6).

The quadratic equation for this problem is defined as follows:

3x² - 16x - 7 = 5.

3x² - 16x - 12 = 0.

The coefficients are given as follows:

a = 3, b = -16, c = -12.

Hence the discriminant is of:

D = (-16)² - 4(3)(-12)

D = 400.

Then the roots are of:

Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:

y = 3(x + 0.6667)(x - 6).

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a. The given differential equation is exact since the partial derivatives of the equation are equal.

b. The general solution to the differential equation is x^3y + x + y + C2 = 0, where C2 is a constant of integration.

To determine if the given differential equation is exact, we need to check if the partial derivatives of the equation satisfy the condition of equality.

The given differential equation is:

(3x^2y + 1)dx + (x^3 + 1)dy = 0

Taking the partial derivative with respect to y of the term involving dx:

∂/∂y (3x^2y + 1) = 3x^2

Taking the partial derivative with respect to x of the term involving dy:

∂/∂x (x^3 + 1) = 3x^2

Since the two partial derivatives are equal, the differential equation is exact.

To find the general solution to the exact differential equation, we integrate the terms separately and add a constant of integration. Integrating the term involving dx with respect to x gives:

∫ (3x^2y + 1)dx = x^3y + x + C1(y),

where C1(y) represents the constant of integration with respect to y.

Next, we differentiate the result of the integration with respect to y to find C1(y):

d/dy (x^3y + x + C1(y)) = x^3 + C1'(y).

Comparing this with the term involving dy in the original differential equation, we have:

x^3 + C1'(y) = x^3 + 1

This implies that C1'(y) = 1, and integrating C1'(y) gives:

∫ dC1(y) = ∫ 1 dy

C1(y) = y + C2,

where C2 is a constant of integration.

Therefore, the general solution to the given exact differential equation is:

x^3y + x + y + C2 = 0.

This is the implicit form of the general solution.

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False. The statement is incorrect. Unlike the z distribution, the t-distribution is not symmetric around 0, and its tails do not approach the horizontal axis and cross it.

The t-distribution is similar to the normal (z) distribution in the sense that it is bell-shaped. However, there are important differences. The t-distribution is not symmetric around 0 but is centered at 0. It has a shape that depends on its degrees of freedom (df). As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution (z-distribution).

The tails of the t-distribution are thicker than the tails of the z-distribution. The t-distribution has more probability in the tails, which means it has more extreme values compared to the z-distribution. As the degrees of freedom increase, the t-distribution approaches the normal distribution, and its tails become closer to the horizontal axis, but they do not cross it.

It's important to note that the shape and characteristics of the t-distribution are determined by the degrees of freedom. As the degrees of freedom increase, the t-distribution becomes more similar to the z-distribution. However, even with large degrees of freedom, the t-distribution will always have slightly thicker tails than the z-distribution.

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Answer:

18

Brainliest, please!

Step-by-step explanation:

3^3 + 11 - 10 / 2 x 4 = w

27 + 11 - 10 / 2 x 4 = w

27 + 11 - 5 x 4 = w

27 + 11 - 20 = w

38 - 20 = w

w = 18

The amount of water that will fill the entire bin is 16/3 gallons.

Given: 1 over 8 gallon of water fills 2 over 3 of the bin.

Let's assume that the bin has a capacity of V gallons of water. Therefore, we need to find the amount of water that will fill the entire bin.

To write an equation, we know that: 1 over 8 gallon of water fills 2 over 3 of the bin.

Then, we can write the equation as: 1 over 8 V = 2 over 3V/8 = 2/3

Simplifying the above equation we get: V = (8 x 2) / (3 x 1) = 16 / 3 gallons

Hence, the amount of water that will fill the entire bin is 16/3 gallons.

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

There are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, 10 have sprinkles or filling

Let S represent the set for donut with Sprinklers.

Let F represent the set for donut with Filling.

To find :- How many have sprinkles or filling?

i.e. n ( S ∪ F )

Formula,

n ( S ∪ F ) = n ( S ) + n ( F ) + n ( S ∩ F )

Given,

n ( S ) = 6

n ( F ) = 7

n ( S ∩ F ) = 3

Putting in formula

n ( S ∪ F ) = n ( S ) + n ( F ) - n ( S ∩ F )

                = 6 + 7 - 3

                = 10

Donuts with Sprinklers or Filling = 10

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The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.

Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.

Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.

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Note that the full question is:

Which statements are true about control classes in object-oriented analysis? Select all that apply.

a) Control classes manage data structures.

b) Control classes receive or handle system events.

c) Control classes encapsulate behavior of use case.

d) Control classes implement the controller pattern.

Answer:

I think the answer would just be 2, I'm not for sure on this one

When the sample size is reduced, the margin of error increases, indicating that the estimate of the population mean is less precise and has a wider range of possible values.

When you cut the sample size in half, it has a significant impact on the margin of error when making statistical inferences about the mean of a normally distributed population. The margin of error is a measure of the uncertainty or variability associated with estimating a population parameter based on a sample.

The formula for calculating the margin of error is typically based on the standard deviation of the population, the sample size, and a confidence level. In the case of estimating the population mean, the formula commonly used is:

Margin of Error = Z * (σ / √n)

Where:

Z is the z-score corresponding to the desired confidence level

σ is the standard deviation of the population

n is the sample size

When you cut the sample size in half, the denominator (√n) in the formula decreases. As a result, the margin of error becomes larger.

This occurs because a smaller sample size provides less information about the population, leading to increased uncertainty in the estimate. With fewer data points, it becomes more likely that the sample may not be fully representative of the population, and the estimate may deviate further from the true population mean.

When the sample size is reduced, the margin of error increases, indicating that the estimate of the population mean is less precise and has a wider range of possible values.

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The shape of the graph = rose

The domain = all real numbers

Range = [-2,2]

Maximum r-value = Symmetric about the x-axis

The graph is continuous = Yes

Is it bounded = Yes

Any asymptotes = No

This is further explained below.

Generally, the graph is simply defined as a graph is a graphical representation of a relationship, usually between two variables, where each variable is shown along with one of two orthogonal axes.

In conclusion, there is no break in the graph, and it has finite limits.

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The additional ordered pair to form the function (12, 7)

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value.

Given that, a table which is showing a function,

We need to find one ordered pair that can shows a function,

According to the definition of the function, we know that each value of x will have a unique value of y,

From the numbers given, the only ordered pair that shows a function is (12, 7)

Hence, the additional ordered pair to form the function (12, 7)

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1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.

so it's 1,4,7,8 and 13 so the median is 7

so we do not agree with him

u is in the plane spanned by the columns of A.

What is System of linear equations?

A system of equations is a collection of one or more equations with several variables. The variable mappings that satisfy all component equations—that is, the places where all of these equations intersect are the solutions of systems of equations.

Yes, u is in the plane in R3 spanned by the columns of A. The fact that the last row of the reduced matrix is [0 0 0] doesn't necessarily mean that u is not in the plane spanned by the columns of A. It only means that the system of linear equations represented by the matrix has no non-trivial solution.

In this case, u being in the plane spanned by the columns of A means that u can be written as a linear combination of the columns of A. This can be confirmed by solving the following system of linear equations:

3x - 5y + z = 0

-2x + 6y + z = 4

x + y + z = 4

Since there is a solution x = 1, y = 2, z = 1, it means that u can be written as a linear combination of the columns of A, and therefore u is in the plane spanned by the columns of A.

Hence, u is in the plane spanned by the columns of A.

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there are 120 permutations of 6 letters taken 3 at a time without repetition.
To find the number of permutations of 6 letters taken 3 at a time without repetition, we can use the formula for permutations:

P(n, r) = n! / (n - r)!

where n is the total number of objects and r is the number of objects taken at a time.

In this case, we have 6 letters and we are taking them 3 at a time, so n = 6 and r = 3.

P(6, 3) = 6! / (6 - 3)!
        = 6! / 3!

Now, let's calculate the factorial values:

6! = 6 × 5 × 4 × 3 × 2 × 1
3! = 3 × 2 × 1

Substituting the values into the formula:

P(6, 3) = (6 × 5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)
       = 6 × 5 × 4
       = 120

Therefore, there are 120 permutations of 6 letters taken 3 at a time without repetition.

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Answer:

15.7% = 0.157 in decimal form. Percent means 'per 100'. So, 15.7% means 15.7 per 100 or simply 15.7/100. If you divide 15.7 by 100, you'll get 0.157 (a decimal number).

Answer:

Step-by-step explanation:

if 1l = 100cl

1l×1/100cl×4=1l /400cl

Answer:

Step-by-step explanation:

The formula for this is:

6(6 + x) = 3(3 + 25) and

6(6 + x) = 3(28) and

36 + 6x = 84 and

6x = 48 so

x = 8

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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The conclusion after conducting one sample z-test for z value 5.7 is not possible the correct answer is option c. None of the above.

To determine the conclusion of a one-sample Z test based on the Z-value,

We need to compare the Z-value with the critical value of Z at the chosen level of significance (alpha) and with the corresponding p-value.

If the Z-value is greater than the critical value of Z or if the p-value is less than the chosen level of significance (alpha).

Then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Without knowing the level of significance and the corresponding critical value.

We cannot determine the conclusion of the test based solely on the Z-value of 5.7.

However, if we assume a standard significance level of 0.05.

We can use a Z-table or statistical software to find the corresponding critical value of Z, which is 1.96 for a two-tailed test.

If the Z-value of 5.7 is greater than the critical value of Z of 1.96, then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Therefore, for the one-sample Z test with given information it is not possible to conclude the correct answer is option c. none of the above.

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The matrix K is \(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\) .

The eigenvalues of A are the roots of the characteristic polynomial of A, which is:

det(A - xI) = (x + 1)(x + 3)(x + 4)(x + 10)

The eigenvalues of A are -1, -3, -4, and -10.

We want the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j. The characteristic polynomial of A - BK is:

det(A - BK - xI) = (x + 1)(x + 1)(x + 1 + j)(x + 1 - j)

To make the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j, we need to set the following equations equal to 0:

(x + 1)(x + 1) = 0

(x + 1 + j)(x + 1 - j) = 0

The first equation gives x = -1 and x = -1. The second equation gives x = -1 + j and x = -1 - j.

Therefore, the matrix K must be such that B * K = [-1, -1, -1 + j, -1 - j]T.

One possible matrix K is:

\(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\)

This matrix satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is a possible value of K.

Another possible matrix K is:

\(\left[\begin{array}{cccc}0&0&j&-j\\1&0&0&0\\0&1&0&0\\0&0&0&0\end{array}\right]\)

This matrix also satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is also a possible value of K.

There are many other possible matrices K that satisfy the equation B * K = [-1, -1, -1 + j, -1 - j]T. The specific value of K that you choose will depend on your specific application.

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

Starch, which is stored in an endosperm, serves as a plant's primary source of nutrition. It develops as a result of the two-step reproductive cycle. The best choice is therefore (b).

Which seeds contain endosperm that stores food?

Albuminous seeds consist of those with the endosperm. For such purpose of storing food, the endosperm is a unique nourishing tissue found in seeds. Up until maturity, this should continue to be persistent. Unlike exalbuminous seeds, which have thick cotyledons, albuminous seeds have small, slender cotyledons because food is preserved in the endosperm.

What's the name of the seed food shop?

Food that has been preserved through seeds can be observed in the perisperm, cotyledons, as well as endosperm. The stored food is used to keep this same embryo alive all through seed germination. Depending on the quantitative issue, a variable would be a volume that can be altered.

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