Solve the inequality 3(k-9) > 3k + 6.

bbbbbbbbbbbbbbb bbbbbbbbbbbbbb

Let x represent the number of t shirts that the team needs to sell.

We were told that each T shirt costs $12.5. This means that the cost of x T shirts would be $12.5x

If they need to raise a total of at least $850, it means that the amount that they need to raise must be greater than or equal to $850. Given that they have already sold 40 t-shirts, the amount made from 40 T shirts is 40 * 12.5 = $500.

The inequality representing this situation would be

The number of shirts must be greater than or equal 28

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The triangle is an isosceles triangle so remaining side less than 2.

What is an isosceles triangle ??

An isosceles triangle in geometry is one with at least two sides that are of equal length. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception. The faces of bipyramids, the golden triangle, the isosceles right triangle, and some Catalan solids are all examples of isosceles triangles.

in this figure, it is an isosceles triangle as two sides of the triangle are equal.

The length of one of the congruent sides is 5

The total length of two congruent sides is 10

The perimeter at the most is 12 (meaning the maximum length of the perimeter is 12)

The third side of the triangle must be 12-10 = 2 at the most

So the length of a remaining side is less than 2.

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The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

B. - 3 / 2

Step-by-step explanation:

Let,

( x1, y1 ) = ( - 2, 5 )

So,

x1 = - 2

y1 = 5

( x2, y2 ) = ( 4, - 4 )

So,

x2 = 4

y2 = - 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )

= - 9 / ( 4 + 2 )

= - 9 / 6

Slope = - 3 / 2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )

m = \(\frac{-4-5}{4-(-2)}\) = \(\frac{-9}{4+2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\) → B

Answer: x=500

Step-by-step explanation:

Twenty more (+20) of a fifth of a number (.2x) is equal to 120. So, the equation would be .2x+20=120. To isolate x, subtract 20 from each side. So now we have .2x=100. To get rid of the .2 or 1/5, we have to multiply everything by the reciprocal of 1/5, or 5. So, 100(5)=.2x(5), or simplified, x=500. Hope this helps!

The percentage of companies that use video ads in the sample is the statistic.

Here, the concern is to estimate the percentage of companies that use video ads.

He took a sample of 125 companies to inquire whether or not they use video ads.

So, the percentage of companies that use video ads in the sample is the statistic.

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Answer:bruh

Step-by-step explanation:

I couldn’t even tell u

Step-by-step explanation:

\(6.130 \times {10}^{9} = 9130000000\)

Answer:

Step-by-step explanation:

The figures that come to a point (cone, pyramid) only have one base. The others have two:

  cylinder

  rectangular prism

  triangular prism

Answer:

B-cylinder

C-rectangular prism

E-triangular prism

Step-by-step explanation:

Got it right on edge unit test

If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend $10.65

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

The cost of one gallon of gas =$2.57

The quantity of gas she puts in the tank = 4.145 gallons

Apply unitary method

Then, the cost of 4.145 gallons of gas = Cost of one gallon of the gas × Quantity of gas

The cost of 4.145 gallons of gas= 2.57×4.145= $10.65

Hence, If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend  $10.65

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A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, None of the given options clearly demonstrate that the four points are the vertices of a parallelogram.

A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, we need to examine the relationships between the sides and diagonals.

Option A, which states that DA = AB = BC = CD, does not provide enough information about the relationship between opposite sides or diagonals. Similarly, Option B, which states that AB = CD = and DA = BC =, does not provide sufficient information.

Option C, which states that DB = and AC =, also does not provide enough information to establish the parallelism of opposite sides.

Option D, which is not provided, cannot be evaluated as it is missing the necessary information.

In conclusion, none of the given options demonstrate the properties required to establish that the four points are the vertices of a parallelogram. Additional information, such as the slopes or lengths of the sides, is needed to determine if the given points form a parallelogram.

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SOLUTION:

Step 1:

In this question, we are given the following:

Solve the following equations.

Express your answer as an ordered pair in the format (a,b) with no spaces between the numbers and symbols:

Step 2:

We multiply equation 1 by 2, so we have that:

Then, we evaluate equation 3 minus equation 4, we have that:

Next, we put the value of y = 1 in equation 1, we have that:

CONCLUSION:

In ordered pair, the value of:

Answer:

A is the correct answer

Step-by-step explanation:

Mathematically if we have lengths a, b and c

For a triangle to occur, let us say that the third side is c

then a + b must be greater than or equal to c

Hence c must be equal to (4 + 8) or greater than (4 + 8)

With the options given , A is the correct answer

If angle C is greater than angle E, then AB is greater than. Therefore, option B: 'greater than' is the correct answer.

In the figure attached, it is seen that

                     BC = DE      and       AC=  FE

Now it is required to find the relation between sides AB and DF of the two given triangles.

Since it is given that angle C of the first triangle is greater than angle E of the second triangle. So it is concluded that the opposite sides of the two triangles are in the same ratio as their angles.

Hence, the AB is greater than DF.

"

Complete question:

In the triangles,BC = DE and AC = FE. If mC is greater than mE, then AB is ________ .

A: congruent to

B: longer than

C: shorter than

D: the same length as

"

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The correct statement is C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

The coefficient of determination (R2), which ranges from 0 to 1, expresses how accurately a statistical model forecasts a result.

The correlation Coefficient R = 0.8,  which demonstrates the strong correlation between children's age and height. With the correlation coefficient value, we can calculate the coefficient of determination (R2), which indicates the proportion of variation that the regression model can account for.

Coefficient of determination \((R^{2} ) = 0.8^{2}\)

= 0.64.

0.64 of the variation in children's height that can be attributed to age and 0.36 to other factors.

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missing Options :

A.) On average, the height of a child is 80% of the age of the child.

B.) The least-squares regression line of height versus age will have a slope of 0.8.

C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

D.) The least-squares regression line will correctly predict height based on age 80% of the time.

E.) The least-squares regression line will correctly predict height based on age 64% of the time.

Answer:

\(\huge\boxed{x=-18}\)

Step-by-step explanation:

In order to solve this, we are trying to find the value of \(x\). Basically, \(x\) is a placeholder for a number that is unknown. Some number minus 3 is equal to 21.

Our goal is to find \(x\). To do this we want to isolate \(x\) on one side of the equation

\(x-3=-21\)

Let's add 3 to both sides.

\(x-3 + 3 = -21+3\\\\-3 + 3 = 0\\\\x = -21+3\\\\x=-18\)

Hope this helped!

Answer:

x = -18

Step-by-step explanation:

x - 3 = -21

add 3 to both sides

x - 3 + 3 = -21 + 3

x = -18

sidenote: you can add anything to both sides of an equation, and it'll still be true. for example, 2 = 2, if you add 1 to both sides you get 3=3 which is still true.

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

\((x - 9)^{2} \)

Answer:

81

Step-by-step explanation:

Move −18x, so

x^2+c−18x

To find the c value

c =(b/2)^2

divide the coefficient of x by 2 and square the result.

Divide 18 by 2

(-1⋅9)^2

Multiply −1 by 9

(−9)^2

Raise −9 to the power of 2 and get your answer

=81

Answer:

2) x = 2

3) x = 40

Step-by-step explanation:

Complementary angles add up to 90° and supplementary angles add up to 180°

2) 7x + (34x + 8) = 90°

   (2x - 9) + (3x - 11) = 180°

Answer: first one is X=2 second one is X=40

Step-by-step explanation:

you add both angles together plus the whole angles size like for instance how its 7x+34x+8=90 you add the variables 41X +8 you subtract 8 to get rid of it, and then you divide 82 by 41.

The expression for the nth term an, for the infinite series s=∑n=1[infinity]an is ∑n=4¹⁶an = 468

We know that the sum of the first n terms of the series is given by sn. Therefore, we can find an expression for the nth term an by taking the difference between successive values of sn:

sn - sn-1 = an

(4-4n²) - (4-4(n-1)²) = an

Simplifying this expression, we get:

an = 8n - 4

Now we can use this expression to find the values of ∑n=1¹⁰an and ∑n=4¹⁶an:

∑n=1¹⁰an = a1 + a2 + ... + a10

= (81 - 4) + (82 - 4) + ... + (8*10 - 4)

= 76

Therefore, ∑n=1¹⁰an = 76.

Similarly,

∑n=4¹⁶an = a4 + a5 + ... + a16

= (84 - 4) + (85 - 4) + ... + (8*16 - 4)

= 468

Therefore, ∑n=4¹⁶an = 468.

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Answer:

No solution

Step-by-step explanation:

Brain-list?

Answer:

B no solution

Step-by-step explanation:

Step 1: Given data and concept

Step 2: You will write the function f(x) of degree three in a factored form.

Step 3: Final answer

f(x) = (x + 2)(x - 8)²

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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Answer:

C.....................m

Step-by-step explanation:

l = w-6

w-6 * w = 60

w^2 - 6w - 60 = 0

w^2 - 12w + 5w - 60=0

w(w-12)+5(w-12) = 0

(w+5) (w-12) = 0

w = -5

w=12

since width can't be negative, its 12 yds

length = 5 yds