X^2-10x+25=144

Don’t understand this at all. Please Help.
Something to do with Square roots?? Unsure atp.

Answer:

h(2) = 20

Step-by-step explanation:

h(x) = 10x - x^2 + 4

Let x = 2

h(2) = 10*2 - 2^2 + 4

       =20 -4+4

       =20

Answer:

9 1/6

Step-by-step explanation:

3 2/3 divided by 2/3

First convert 3 2/3 into a whole number

3 2/3 = 11/3

11/3 x 2/3 = 55/3

55/3 into a mixed number is 9 1/6

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

\(\hspace{5em} \textit{Binomial Theorem Expansion}~\hfill \\\\ {\Large \hspace{5em}\begin{array}{llll} (a+b)^{12} \end{array}}\)

\(\begin{array}{clcl} term&coefficient&value\\ \cline{1-3}&\\ 1 & 1 & (a)^{12}~(b)^{0}\\ 2 & 12 & (a)^{11}~(b)^{1}\\ 3 & 66 & (a)^{10}~(b)^{2}\\ 4 & 220 & (a)^{9}~(b)^{3}\\[1em] 5 & \text{\LARGE 495} & (a)^{8}~(b)^{4}\\[1em] 6 & 792 & (a)^{7}~(b)^{5}\\ 7 & 924 & (a)^{6}~(b)^{6}\\ 8 & 792 & (a)^{5}~(b)^{7}\\ 9 & 495 & (a)^{4}~(b)^{8}\\ 10 & 220 & (a)^{3}~(b)^{9}\\ 11 & 66 & (a)^{2}~(b)^{10}\\ 12 & 12 & (a)^{1}~(b)^{11}\\ 13 & 1 & (a)^{0}~(b)^{12} \end{array}\)

now the way I get the coefficient in a sequential fashion, is by using the current coefficient to get the next one.

for example, how did we get 495?

the previous coefficient is 220, 220 times the exponent of "a" divided by the exponent of "b" plus 1, so in essence 220 * 9 ÷ (3+1) = 495.

another example, how did we get 924 for the 7th term?

792 * 7 ÷ (5+1) = 924, and so on.

\( \\ \boxed{\sf The \: coefficient \: of \: a^8b^4 \: is \: 495.} \)

\( \\ \\ \)

The Binomial Theorem is used to find the value of the sum of two numbers, raised to the power n.

\( \\ \\ \)

\(\sf(a+b)^n =\sf\sum\limits_{k=0}^{n} \binom{n}{k}a^{n-k}b^{k} \\ \\ \sf \:Where\text{:} \\ \star \: \sf n \: is \: a \: positive \: integer. \: ( n \in \mathbb{N}) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \star k \: is \: a \: positive \: integer \: less \: than \: or \: equal \: to \: n. \: (k \leqslant n, \: k \: \in \: \mathbb{ N}) \\ \\ \\ \sf \star \: \displaystyle\binom{ \sf \: n}{ \sf \: k} \: \sf is \: a \: \underline{binomial \: coefficient} \: and \: is \: calculated \: as \: follows\text{:} \\ \\ \\ \sf \displaystyle\binom{ \sf \: n}{ \sf \: k} = \sf \dfrac{n! }{(n - k)! k ! }\)

\( \\ \\ \)

\( \\ \\ \sf (a + b)^{12}= \sf \sum\limits_{k=0}^{12} \sf \binom{12}{k}a^{12-k} b^{k}\)

\( \\ \\ = \sf \binom{ \sf 12}{ \sf 0}a^{12}b^0+ \sf \binom{ \sf 12}{ \sf 1}a^{11}b^1+ \sf \binom{ \sf 12}{ \sf 2}a^{10}b^2+ \sf \binom{ \sf 12}{ \sf 3}a^9b^3 + \sf \binom{\sf 12}{ \sf 4}a^8b^4 +...+ \sf \binom{\sf 12}{ \sf 12} a^0b^{12}\)

\( \\ \\ \)

↬Determine the coefficient of a⁸b⁴.

\( \\ \\ \displaystyle\binom{ \sf 12 }{ \sf \:4} = \sf \dfrac{12! }{(12 - 4)! 4 ! } = \dfrac{12!}{8!4!} = \boxed{\sf 495}\)

\(\\ \\ \)

Therefore, in the expansion of (a + b)¹², the coefficient of a⁸b⁴ is 495.

\( \\ \\ \\ \)

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Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

Answer:

C s = k÷8

Step-by-step explanation:

Kylies Farm is 8 times larger than Sean's. So if we divide the size of Kylie's farm by 8, we have the size of Sean's farm.

s = k ÷ 8

k = 8s

k ÷ 8 = s

s × 8 = k

Answer

It is the equation of the plane that passes through the point (0, -2, 1) and is orthogonal to the line x = -5 + 4t, y = 2 - 5t, with a coefficient of x equal to 4.

Step-by-step explanation:

We can start by finding the direction vector of the line x = -5 + 4t, y = 2 - 5t. We can see that the direction vector of the line is <4, -5, 0>.

Now, we want to find a normal vector to the plane that is orthogonal to the direction vector of the line. The cross product of two vectors is orthogonal to both of them, so we can take the cross product of the direction vector of the line and any other vector in the plane to get a normal vector to the plane.

Since we want the coefficient of x to be 4, we can choose the vector <4, 0, a> for some scalar a. To make this vector orthogonal to the direction vector of the line, we can take the cross product:

<4, -5, 0> x <4, 0, a> = <-5a, -16, 20>

This vector is normal to the plane and has a coefficient of x equal to -5a. We want this to be equal to 4, so we solve for a:

-5a = 4

a = -4/5

So the normal vector to the plane is <-4, -16, 20/5> = <-4, -16, 4>.

Now, we can use the point-normal form of the equation of a plane to write the equation of the plane. The equation is:

-4(x - 0) - 16(y + 2) + 4(z - 1) = 0

Simplifying this equation, we get:

-4x - 16y + 4z + 16 = 0

And that is the equation of the plane that passes through the point (0, -2, 1) and is orthogonal to the line x = -5 + 4t, y = 2 - 5t, with a coefficient of x equal to 4.

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

This polynomial have 5 degree , 4 terms and one connstant

Algebraic expressions called polynomials only have non-negative integer powers for their variables. A polynomial is, for instance, Expressions with one or more terms that have a non-zero coefficient are called polynomials. The terminology include constants, exponents, and variables. The "leading term" refers to the first term of the polynomial in standard form. A standard polynomial is one in which the first term, which has the highest degree, is followed by succeeding terms that are organized in descending order of the exponents or powers of the variables, then by constant values. A "coefficient" is a number that has been multiplied by a variable.

Given that : \(9m^{5}+3n^{2} +2q^{2} +1\)

\(9m^{5}+3n^{2} +2q^{2} +1\)

This polynomial have 5 degree , 4 terms and one connstant

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On a number line, the distance between any number and itself is always 0. Therefore, the distance between 6 and 6 is 0.

The distance between 24 and 17 can be calculated by subtracting the smaller number from the larger number, considering only the magnitude: |24 - 17| = 7.

Similarly, the distance between 17 and 24 can be calculated as |17 - 24| = 7. The absolute value ensures that the distance is always positive, regardless of the order of subtraction.

For the distance between a variable "t" and 4, the answer depends on the relationship between t and 4. If t is smaller than 4, the distance is expressed as |t - 4|. If t is greater than 4, the distance is expressed as |4 - t|. In either case, the absolute value ensures a positive value.

The distance between any numbers a and b on the number line can be calculated as |a - b|.

The relationship between |p - q| and |q - p| is that they are equal. The absolute value function disregards the sign of the argument, so whether you subtract p from q or q from p, the result will have the same magnitude. Therefore, |p - q| = |q - p|.

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Answer: 0.16

Step-by-step explanation:

The endpoints (10, 5) and (50, 75) in the canonical form of the cubic curve is:

a0 = 5,

a1 = 0,

a2 = 0,

a3 = 70 / (50^3).

To find the coefficients that satisfy the endpoints of the cubic curve in canonical form, we can use the general equation of a cubic polynomial:

y = a0 + a1u + a2u^2 + a3u^3,

where (u, y) represents the points on the curve.

Given the endpoints (10, 5) and (50, 75), we can substitute these values into the equation to obtain a system of equations that we can solve for the coefficients.

For the first endpoint (10, 5):

5 = a0 + a1(0) + a2(0^2) + a3(0^3),

5 = a0.

For the second endpoint (50, 75):

75 = a0 + a1(50) + a2(50^2) + a3(50^3).

Now, we have two equations and four unknowns (a0, a1, a2, a3). However, since we only need to find one set of coefficients that satisfies the endpoints, we can assign arbitrary values to two of the coefficients and solve for the remaining two.

Let's choose a1 = 0 and a2 = 0. By substituting these values into the second equation, we have:

75 = a0 + 0 + 0 + a3(50^3),

75 = a0 + a3(50^3).

Now, we can solve for a0 and a3 by subtracting the first equation (5 = a0) from the second equation:

75 - 5 = a0 + a3(50^3) - a0,

70 = a3(50^3),

a3 = 70 / (50^3).

Therefore, one set of coefficients that satisfy the endpoints (10, 5) and (50, 75) in the canonical form of the cubic curve is:

a0 = 5,

a1 = 0,

a2 = 0,

a3 = 70 / (50^3).

Remember, there are infinitely many options for the values of the coefficients, but this is one possible set that satisfies the given endpoints.

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Answer:

28 is NOT a given solution to the equality

Step-by-step explanation:

For this inequality, we substitute 28 for t and see if the left side is less than the right side.

\(t - 7 < 10, t = 28\\(28) - 7 < 10\\21 < 10 \\False\)

The statement is false, therefore the number provided is not a solution

First step in finding the percent markdown is to find the percentage change in sales price.

In order to find the percentage change in sales price, use the percent change equation.

(New - Old)/(Old) * 100 = % Change

Now input 141.27 for the New price and 175.80 for the Old price.

(141.27 - 175.80)/(175.80) * 100 = % Change

-34.53/175.80 * 100 = % Change

-0.2* 100 = % Change

20 = % Change

Hence, the percentage change in sales price is 20%

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distrubutive property

because you'll have to distribute the in inverse integer in the right and on the left .

Answer:

d

Step-by-step explanation:

a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945

b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945

c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945

d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945

Answer:

D

Step-by-step explanation:

32/945 is the final answer

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

The volume of the figure in the attachment is 84 cubic yards

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards

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Answer:we know that

the point (1,1) is moved to (4,1)

so

the rule of the translation is

(x,y)--------------------------(x+3,y)

that means

the translation is 3 units to the right

therefore

the answer is

the equation of the new graph is

y=(x-3)

Answer: y + (-4)

Step-by-step explanation:

A translation of four yards south involves moving 4 units in the negative y-direction. Given any initial y-coordinate, y, the algebraic expression that represents the y-coordinate after translation is y + (-4)

*edmentum answer*

An algebraic expression that can be used to represent the new y-coordinate after a translation of four yards south is y-4.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let's assume that 1 unit represents 1 mile.

Given that the present coordinate of the point is y. Now, if the point is moved towards the south, then the point will be shifted to 4 units sown. Therefore, we can write an algebraic expression to represent the new y-coordinate after a translation of four yards south as,

New-coordinate = y - 4

Hence, an algebraic expression that can be used to represent the new y-coordinate after a translation of four yards south is y-4.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

Th answer is 220

Step-by-step explanation:

Answer:

An engaging digital escape room for students learning to find slope given graphs, tables and coordinate pairs. Students must unlock 5 locks by answering 20 slope questions. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.

It's also known as the room of escape, for the Learners who lean digitally can find slopes given graphs, tables, and coordinate pairs. Learners will open 5 locks/questions by solving the 20 slope questions.

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The minimum length of the third side must be greater than 16 feet.

The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.

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The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.

To calculate the future value of an annuity, we can use the formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the annual payment,

r is the interest rate per compounding period,

n is the number of compounding periods.

In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.

Plugging the values into the formula:

FV = $500 * [(1 + 0.05)^12 - 1] / 0.05

= $500 * [1.05^12 - 1] / 0.05

≈ $500 * (1.795856 - 1) / 0.05

≈ $500 * 0.795856 / 0.05

≈ $399.928 / 0.05

≈ $7,998.56 / 100

≈ $7,005.53

Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.

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Answer:

8/10 of a dollar is the correct answer

Step-by-step explanation: