write an equation of a circle is centered at (2,-3) with a radius of 7 

Answer:

pretty sure its d

Step-by-step explanation:

Because a has spread out dots and b has them all towered and neat so d

Answer:

D.)

Step-by-step explanation:

The value(s) of x at which the function f(x) = 325x^3 + 15x^2 + 10x - 21 has a horizontal tangent line are -1 and 1. To find the value(s) of x at which the function has a horizontal tangent line, we need to find the values of x for which the derivative of the function equals zero.

First, let's find the derivative of f(x). The derivative of each term can be calculated as follows:

The derivative of 325x^3 is 975x^2.

The derivative of 15x^2 is 30x.

The derivative of 10x is 10.

Now, set the derivative equal to zero and solve for x:

975x^2 + 30x + 10 = 0.

Unfortunately, this quadratic equation does not factor easily. However, we can use the quadratic formula to find the solutions for x:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a = 975, b = 30, and c = 10.

Using the quadratic formula, we find two solutions for x: -1 and 1.

The value(s) of x at which the function f(x) = 325x^3 + 15x^2 + 10x - 21 has a horizontal tangent line are -1 and 1. These are the x-values at which the derivative of the function equals zero, indicating the presence of horizontal tangent lines.

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True.

A 95% confidence interval for the population mean means that if we draw multiple samples from the same population and construct confidence intervals for the mean using each sample, then 95% of those intervals will contain the true population mean. This is because the confidence interval is computed based on the sample mean and the sample's standard deviation, which are random variables that are expected to vary from sample to sample. Therefore, we cannot be 100% certain that the true population mean is within any particular confidence interval, but we can be confident (95% confident, in this case) that most of the intervals we construct will contain the true mean. A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean. This means that you can be 95% confident that the true population mean lies within the calculated interval.

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Answer:

Yes, Ping should give five one-dollar bills, not

SIX

Step-by-step explanation:

I answered this question on

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It wasn't the same question but yes

Answer:

105

Step-by-step explanation:

since 5 is 75 divide 75 by 5 to get 15.

then just multiply 7 and 15 which is 105

Answer:

Step-by-step explanation:

\(d = \frac{m}{V} \\Cross\:Multiply\\\\dV = m\\\\Divide\:both \:sides \:of\:the\:equation\:by\:d\\\\\frac{dV}{d} = \frac{m}{d} \\\\\\V = \frac{m}{d}\)

Answer:

The correct answer is 4.3

Answer:

A, \({x | x<-2}\)

Step-by-step explanation:

We have the inequality as

\(3x<-6\)

We can simplify this inequality a little bit more by dividing 3 from both sides.

That gets us

\(x<-2\)

We can see the only answer that has this is A.

The value of e in the interval (0,32) that satisfies the conclusion of the Mean Value Theorem is e = 2^-20.

To verify that the Mean Value Theorem can be applied to f(x) = x^4/5 on the interval (0,32), we need to check whether the function is continuous on the closed interval [0,32] and differentiable on the open interval (0,32).

First, let's check if the function is continuous on the closed interval [0,32]. Since f(x) is a polynomial function with positive exponents, it is continuous everywhere, including at x = 0 and x = 32. Therefore, f(x) is continuous on the closed interval [0,32].

Next, let's check if the function is differentiable on the open interval (0,32). We can use the power rule of differentiation to find that f'(x) = (4/5)x^-1/5 = 4x^-1/5/5. This derivative exists and is continuous for all x in the open interval (0,32). Hence, f(x) is differentiable on the open interval (0,32).

Since f(x) is continuous on the closed interval [0,32] and differentiable on the open interval (0,32), we can apply the Mean Value Theorem. By the theorem, there exists at least one value e in the open interval (0,32) such that:

f'(e) = (f(32) - f(0))/(32 - 0)

Plugging in the values of f(x) and f'(x) we found earlier, we get:

4e^-1/5/5 = (32^4/5 - 0)/(32 - 0)

Simplifying this equation, we get:

4e^-1/5 = 1024/5

Dividing both sides by 4 and raising to the 5th power, we get:

e = (1024/5/4)^-5 = 2^-20

Therefore, the value of e in the interval (0,32) that satisfies the conclusion of the Mean Value Theorem is e = 2^-20.

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Answer:

1.5x10^-18

Step-by-step explanation:

8.4x10^9 / x = 5.6x10^27

You could make a proportion:

x(5.6 x 10^27)= 8.4x10^9

divide both sides by 5.6x10^27

x=1.5x10^-18

Answer:

\(1.5*10^{-18}\)

Step-by-step explanation:

The question is in the format \(\frac{8.4*10^9}{n}=5.6*10^{27}\)

First multiply both sides by n and then divide both sides by the number in scientific notation on the right.

\(\frac{8.4*10^9}{5.6*10^{27}}=n\)

We can think of this problem as \(\frac{8.4}{5.6}*\frac{10^{9}}{10^{27}}=\frac{8.4}{5.6}*10^9*10^{-27}\)

When dividing like-terms, we subtract their powers (or we can get the multiplicative inverse and add the powers).

We end up with \(1.5*10^{-18}\)

Answer:

554923

Step-by-step explanation:

111 * 5000 + 85 - 6/2 * 54

555000 + 85 - 3 * 54

555000 + 85 - 162

554923

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer

Option A is correct.

Fraction of players that made more than 6 baskets = ⅓

Explanation

Number of players that made more than 6 baskets = 4

Total number of players = 12

Fraction of players that made more than 6 baskets = (4/12) = ⅓

Hope this Helps!!!

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

oh

Step-by-step explanation:

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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The answer is False, the given matrix is not the systematic form of the generator matrix for the (7,3) cyclic code with generator polynomial g(x) = x^4 + x^3 + x^2 + 1.

To determine whether the given matrix is the systematic form of a generator matrix for an (7,3) cyclic code with generator polynomial g(x) = x^4 + x^3 + x^2 + 1, we need to check if it satisfies the necessary conditions for a generator matrix.

A generator matrix for an (n,k) cyclic code with generator polynomial g(x) is a k x n matrix G whose rows are linearly independent and whose entries correspond to the coefficients of the polynomials in the code. Additionally, the last n-k columns of G should be the cyclic shifts of the first k columns of G.

The systematic form of a generator matrix is obtained by applying elementary row operations to a non-systematic generator matrix to transform it into a form where the first k columns of the matrix are the identity matrix and the last n-k columns are the parity-check matrix H.

Let's examine the given matrix:

|1 0 0 1 1 1 0|

|0 1 0 0 1 1 1|

|0 0 1 1 1 0 1|

We notice that this matrix satisfies the necessary conditions for a generator matrix: it is a 3 x 7 matrix whose rows are linearly independent, and the last 4 columns are the cyclic shifts of the first 3 columns.

However, the given matrix is not in the systematic form of a generator matrix. To obtain the systematic form of a generator matrix, we need to perform elementary row operations on this matrix to transform it into a form where the first three columns of the matrix are the identity matrix and the last four columns are the parity-check matrix H.

Therefore, the answer is False, the given matrix is not the systematic form of the generator matrix for the (7,3) cyclic code with generator polynomial g(x) = x^4 + x^3 + x^2 + 1.

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Answer:

You need an X and Y axis can be very helpful and you can do 2x + 10 when thats what Y equals and the scale factor of 1/2 when you locate (4,12) on the X and Y axis! Thank you if you solve some i will help solve the rest of that!

Step-by-step explanation:

Plz give thx, stars, and Brainlies! Ask for me to help with more! Look how many ppl i help! Thank you have a great life!

Answer:

sheeeesh

Step-by-step explanation:

When the residual is negative it represents the predicted value is very much high.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

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Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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(a) The diameter of the cylinder bore when the engine operates at 119.0°C can be calculated using the thermal expansion coefficient of aluminum and the initial diameter at 20.00°C.

(a) To calculate the diameter of the bore at 119.0°C, we need to consider the thermal expansion of aluminum. The formula for linear thermal expansion is ΔL = αLΔT, where ΔL is the change in length, α is the linear coefficient of thermal expansion, L is the initial length, and ΔT is the change in temperature. Since we are dealing with the diameter, which is twice the length, we can write the formula as ΔD = 2αDLΔT.

Given the initial diameter D = 96.00mm and the change in temperature ΔT = (119.0°C - 20.00°C), we can calculate the change in diameter ΔD. Adding ΔD to the initial diameter will give us the diameter at 119.0°C.

(b) To find the temperature at which the diameter of the hole is equal to 95.85mm, we can rearrange the formula for thermal expansion as ΔT = ΔD / (2αDL).

Substituting the values of ΔD = (95.85mm - 96.00mm) and D = 96.00mm, and solving for ΔT, we can determine the change in temperature. Adding the change in temperature to the initial temperature of 20.00°C will give us the temperature at which the diameter of the hole is equal to 95.85mm.

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Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

Answer: D)14

Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them

Answer:

\(\boxed{2\pm \frac{\sqrt{2}}{2}}\)

Step-by-step explanation:

\(2x^2-8x=-7\)

\(\sf Add \ 7 \ on \ both \ sides}.\)

\(2x^2-8x+7=-7+7\)

\(2x^2-8x+7=0\)

\(ax^2 +bx+c=0\)

\(\sf Apply \ quadratic \ formula.\)

\(a=2 \ \ \ b=-8 \ \ \ c = 7\)

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(x=\frac{-(-8)\pm\sqrt{(-8)^2-4(2)(7)}}{2(2)}\)

\(x=\frac{8\pm\sqrt{64-56}}{4}\)

\(x=\frac{8\pm\sqrt{8}}{4}\)

\(x=\frac{8\pm2\sqrt{2}}{4}\)

\(x=2\pm \frac{\sqrt{2}}{2}\)

True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.

Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.

The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.

This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.

By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.

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Answer:

Answer would be 868.5

Answer:

Mean; 868.5

Median; 189

Step-by-step explanation:

0,0,0,8,30,90,120,138,240,240,300,420,1800,2530,2940,5040

To calculate the mean you add all the values in the data set, the divide by the amount of values.

Add them;

13,896

Divide by 16

868.5

To calculate the median of the data set is find the center of the data,

0,0,0,8,30,90,120,(138 , 240),240,300,420,1800,2530,2940,5040

Now that we know this is the center we add these two values together than divide by 2.

138 + 240 = 378

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)