A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.

Answer:

14.4 acres for corn (if you need to round, it's 14 acres.)

Step-by-step explanation:

40% = 19.2 acres

20% = 9.6 acres

10% = 4.8 acres

40 + 20 + 10 = 70

100-70 = 30

30% = 14.4 acres

Answer:

14.4acres

Step-by-step explanation:

The total acres is 48 acres, which is 100%

when you add percentage of others, wheat and cotton you get 70%.

which leaves you with 30%

therefore, 30% of the land is for corn..

which is 14.4 acres.

0.30 x 48acres= 14.4 acres

Answer:

I) <0 ={-1,-2}

ii) > -2={-1,0}

iii)< -3={-4,-5}

i. The two possible integers for the place holder are -1, -10

ii. The two possible integers for the place holder are o, 1

ii. The two integers for the place holder are -4, -5

(i) To find two possible integers that satisfy the condition "< 0," we can choose any negative integer. Two examples are:

-1

-10

(ii) For the condition "> -2," we need to find integers greater than -2. Two examples are:

0

1

(iii) For the condition "< -3," we need to find integers smaller than -3. Two examples are:

-4

-5

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Answer:

65

Step-by-step explanation:

65 + 50 + x = 180

115 + x = 180

x = 65

There are a total of 15,504 different groups of five students that could be selected for the competition from the 20 students in the math club.

To arrive at this answer, we can use the combination formula, which is given by:

nCk = n! / (k! * (n-k)!)

where n is the total number of students in the math club (20), and k is the number of students selected for the competition (5).

Substituting these values into the formula, we get:

20C5 = 20! / (5! * (20-5)!) = 15,504

Therefore, there are 15,504 different groups of students that could be selected for the competition.

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Anjdjdnjadnosepsjkdsksksks

bzjd

Answer:

Step-by-step explanation:

90 degrees clockwise will result in a (+,+) answer.

90 degrees counterclockwise will result in a (-,+) answer.

Think of your quadrants.

Quadrant 1 the answer will be (+,+)

Quadrant 2 the answer will be (-,+)

Quadrant 3 the answer will be (-,-)

Quadrant 4 the answer will be (+,-)

It all depends where you are starting, so if you have to go counter clockwise from the third quadrant, your answer will be a coordinate that is (+,-).

I wish you would have shared more information, but I hope this helps.

Answer:

(a) AB

Step-by-step explanation:

Answer:

Let q be the number of quarters in the jar and d be the number of dimes in the jar.

The total number of coins in the jar is given as 54, so we can write:

q + d = 54

The total value of the coins is $16.85. We can express this as the sum of the values of the quarters and the dimes in the jar:

0.25q + 0.10d = 16.85

Therefore, the system of equations that can be used to determine the number of quarters and dimes in the jar is:

q + d = 54

0.25q + 0.10d = 16.85

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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the Jacobian matrix J for the system is: J = [ 1/2 0 ] [ -1/13 2/13 ]

To solve the system of equations:

u = 2x - 3y,

v = x + 5y,

We can use the method of substitution.

1. Solve the first equation for x in terms of u and y:

  u = 2x - 3y

  Rearrange the equation:

  2x = u + 3y

  Divide both sides by 2:

  x = (u + 3y) / 2

2. Substitute the expression for x in the second equation:

  v = x + 5y

  Replace x with (u + 3y) / 2:

  v = (u + 3y) / 2 + 5y

  Simplify:

  v = (u + 3y + 10y) / 2

  v = (u + 13y) / 2

Now we have x = (u + 3y) / 2 and y = (2v - u) / 13.

To find the Jacobian, we need to compute the partial derivatives of x and y with respect to u and v.

Partial derivative of x with respect to u:

∂x/∂u = 1/2

Partial derivative of x with respect to v:

∂x/∂v = 0

Partial derivative of y with respect to u:

∂y/∂u = -1/13

Partial derivative of y with respect to v:

∂y/∂v = 2/13

The Jacobian matrix J is given by:

J = [ ∂x/∂u   ∂x/∂v ]

   [ ∂y/∂u   ∂y/∂v ]

Substituting the partial derivatives:

J = [ 1/2   0 ]

   [ -1/13   2/13 ]

Therefore, the Jacobian matrix J for the system is:

J = [ 1/2   0 ]

   [ -1/13   2/13 ]

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The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)

When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.

We have;

(-2x^2z)^2(2xy^3z^2)

Then we now have to deal with the exponent outside the bracket;

(-4x^4z^2)(2xy^3z^2)

Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.

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Answer:

Step-by-step explanation:

Dental assistants

Answer:

Dental assistants

Step-by-step explanation:

A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11.

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

As per the given sequence, 20 - n²

The 20 - n² represents the nth term of the sequence.

Thus a(n) = 20 - n²

For the third term n = 3

a(3) = 20 - (3)²

a(3) = 20 - 9 = 11

Hence "A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11".

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

2 molecule of hydrogen+oxygen=water

The mean value theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on (a, b), then there exists a value c in (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In this case, the interval is [2, 6]. So, we need to find the value(s) of c that satisfy:

f'(c) = (f(6) - f(2))/(6 - 2)

We can make an estimate based on the graph of the function.

If the graph of f(x) is a straight line between (2, f(2)) and (6, f(6)), then the derivative is constant over the interval [2, 6]. In this case, we can use the formula:

f'(c) = (f(6) - f(2))/(6 - 2) = (y2 - y1)/(x2 - x1)

where (x1, y1) = (2, f(2)) and (x2, y2) = (6, f(6)).

Solving for c, we get:

c = (x1 + x2)/2 = (2 + 6)/2 = 4

This is the only value of c that satisfies the conclusion of the mean value theorem in this case.

If the graph of f(x) is not a straight line, then we cannot make a simple estimate for c based on the graph alone.
To estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem (MVT) on the interval [2, 6], you need to follow these steps:

1. Identify the function, f(x), that you're working with.

2. Ensure the function is continuous on the interval [2, 6] and differentiable on the open interval (2, 6). This is required for MVT to be applicable.

3. Calculate the average rate of change (mean value) of the function over the interval [2, 6] by using the formula (f(6) - f(2)) / (6 - 2).

4. Take the derivative of the function, f'(x).

5. Set f'(x) equal to the mean value calculated in step 3 and solve for the value(s) of x, which will give you the value(s) of c that satisfy the MVT.

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You can use algebraic methods to determine the possible values that the function can take in order to determine the range of a function without charting it. You can follow the instructions listed below:

What do the terms range and domain in a function example mean?

A straightforward function, such as f(x) = x^2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x^2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...

Determine any limitations on the function's domain. Any values that the function cannot create because of these limitations will not be included in its range.

Locate the function's crucial points, which are the locations where the function's derivative equals zero or does not exist.

By examining the polynomial's leading coefficient and degree, you can ascertain the function's final behavior.

Find the potential values that the function could have by using the knowledge of the crucial points and the final behavior.

Consider the function f(x) = x^3 - 2x^2 + x + 1 as an illustration.

All real numbers are viable input values because the domain of this function is unrestricted.

x = 0 and x = 2 are the function's critical points.

The polynomial has a leading coefficient of 1 and a degree of 3, hence its final behavior is that it approaches positive infinity as x approaches positive infinity and approaches negative infinity as x approaches negative infinity.

The function will have exactly one local minimum and one local maximum because it is a cubic function. At x = 2, the local minimum occurs, and at x = 0, the local maximum. All real integers higher than or equal to the local minimum value of -1 and less than or equal to the local maximum value of 1 fall inside the range of the function.

This indicates that the set of all real numbers such that -1 = y = 1 is the range of the function f(x) = x^3 - 2x^2 + x + 1.

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A book on the Nuer that provides a detailed account of their way of life based on firsthand observation is known as an ethnography and is based on fieldwork.

An ethnography is a form of qualitative research that involves firsthand observation and documentation of a particular culture or social group. It is a comprehensive study that aims to provide an in-depth understanding of the group's way of life, customs, beliefs, and practices. In the context of the Nuer, an ethnography would focus specifically on their culture, traditions, social structure, economic activities, religious beliefs, and other aspects that shape their way of life.

To produce an ethnography, the author typically engages in fieldwork, which involves immersing themselves in the culture and community being studied. This often includes living among the Nuer people, participating in their daily activities, conducting interviews, and observing their rituals and interactions. The firsthand experience and direct engagement with the Nuer community allow the author to gather detailed and accurate information to present a comprehensive account of their way of life in the book.

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Answer:

-18

Step-by-step explanation:

this is because u will add up -14 and 8 and then subtract it with -24 and upon adding -14 and 8 I had -6 so, I subtracted -6 from the -24

and I had -18

Answer:

Graphically.

Step-by-step explanation:

We have the equations:

(x + 6)^2 = -12*(y + 2)

(x^2/81) + (y^2/100) = 1

First, we can see that the second one is an ellipse, and we can write it as:

(x/9)^2 + (y/10)^2 = 1

This adds some complexity to our problem.

The first equation is just a quadratic equation, that we can write in standard form as:

y = (x^2 + 12*x + 36)/(-12) - 2

y = (-1/12)*x^2 - x - 5

Then our two equations are:

(x/9)^2 + (y/10)^2 = 1

y = (-1/12)*x^2 - x - 5

This is actually really hard to solve analytically, we may end with a quartic equation or something like that (this happens for the nature of the ellipse equation)

So now that we have two rather simple equations that we know how to graph (or that we can just input the equations in a program and graph them) we can find the intersections visually.

You can see the graph of this below:

Of course, this only works to find estimations for the intersections, where one intersection is (3.35, -9.28) and the other is at (-8.69, -2.6)

Answer:

\(\textsf{B.} \quad \dfrac{2 +\sqrt{12}}{2}\)

\(\textsf{C.} \quad 1\)

\(\textsf{E.} \quad \dfrac{2-\sqrt{12}}{2}\)

Step-by-step explanation:

If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).

If the coefficients in a polynomial add up to 0, then (x - 1) is a factor.

Given polynomial function:

\(f(x)=x^3-3x^2+2\)

Sum the coefficients:

\(\implies 1-3+2=0\)

As the sum of the coefficients equals one, (x - 1) is a factor the polynomial.

Find the other factor by dividing the polynomial by (x - 1):

\(\large \begin{array}{r}x^2-2x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,x^3-3x^2+2\phantom{)}}}\\{-~\phantom{(}\underline{(x^3-x^2)\phantom{-)..)}}\\-2x^2+2\phantom{)}\\-~\phantom{()}\underline{(-2x^2+2x)\phantom{}}\\-2x+2\phantom{)}\\\phantom{)}-~\phantom{()}(-2x+2)\\\end{array}\)

Therefore, the factored form of the polynomial is:

\(f(x)=(x-1)(x^2-2x-2)\)

To find the roots, set the function to zero and solve for x.

Set the first factor to zero and solve for x:

\(\implies (x-1)=0 \implies x=1\)

Set the second factor to zero and solve for x using the quadratic formula:

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

\(\implies x=\dfrac{-(-2) \pm \sqrt{(-2)^2-4(1)(-2)}}{2(1)}\)

\(\implies x=\dfrac{2 \pm \sqrt{12}}{2}\)

Answer:

0.23

Step-by-step explanation:

Was the answer on khan academy

Answer:

The lie from the statements below is:

"Your employer can match your investment contribution in a ROTH IRA or Traditional IRA."

While it is true that you can contribute to both a Roth IRA and Traditional IRA and purchase investments such as low-cost index funds, employers cannot match your investment contributions in an IRA. However, employers can match your investment contributions in a Roth 401k or Traditional 401k, which are retirement accounts offered by employers.

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

Answer:

The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).

=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1

=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2

=> M(-1, 3/2)

Hope this helps!

:)

Answer:

( -1, 3/2)

You insert your variables into the midpoint formula in order for you to get the right answer

Answer:

8(x+2)=3

Step-by-step explanation:

Answer:

(listed in order) 24, 12, 36

Step-by-step explanation:

divide each answer by 5. Since 30÷6 is 5. So 180÷5 is 36. So on so fourth.

a) To calculate the missing values, we first need to find the 2018 turnover value. That is, 290.62 M Ft.

b) Average Relative Change =  5.18% and Average Absolute Change = 13.54 M Ft.

c) The ratios for 2016 indicate that the firm experienced a 4% increase in turnover compared to the previous year (2015).

a) To calculate the missing values, we first need to find the 2018 turnover value. We know that the 2015 turnover is 100% of the previous year, so 2015 and 2014 turnover values are the same (250 M Ft). Now we can use the ratios given for the subsequent years:

2016 Turnover = 2015 Turnover * (100% + Ratio)
260 M Ft = 250 M Ft * (100% + Ratio)
Ratio = (260 / 250) - 1 = 0.04 or 4%

2017 Turnover = 2016 Turnover * (100% + Ratio)
275 M Ft = 260 M Ft * (100% + Ratio)
Ratio = (275 / 260) - 1 ≈ 0.0577 or 5.77%

2018 Turnover = 2017 Turnover * (100% + Ratio)
2018 Turnover = 275 M Ft * (100% + 0.0577) ≈ 290.62 M Ft

b) Now, we can calculate the average relative and absolute change:
Average Relative Change = (4% + 5.77% + 5.77%)/3 ≈ 5.18%

Absolute Change (2016) = 260 - 250 = 10 M Ft
Absolute Change (2017) = 275 - 260 = 15 M Ft
Absolute Change (2018) = 290.62 - 275 ≈ 15.62 M Ft
Average Absolute Change = (10 + 15 + 15.62) / 3 ≈ 13.54 M Ft

c) The ratios for 2016 indicate that the firm experienced a 4% increase in turnover compared to the previous year (2015). This means the firm was successful in generating more revenue in 2016 as compared to 2015, which could be attributed to various factors such as improved marketing strategies, expansion in the market, or better product offerings.

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Answer: To find the range of the marks obtained, we need to find the difference between the highest and lowest marks:

Range = highest mark - lowest mark

To find the highest and lowest marks, we can simply sort the marks in ascending or descending order:

39, 48, 56, 75, 76, 81, 85, 85, 90, 95

So, the highest mark is 95 and the lowest mark is 39. Then, the range is:

Range = 95 - 39 = 56

To find the mean marks obtained by the group, we need to add up all the marks and divide by the number of marks:

Mean = (85 + 76 + 90 + 85 + 39 + 48 + 56 + 95 + 81 + 75) / 10

   = 745 / 10

   = 74.5

So, the mean marks obtained by the group is 74.5.

Step-by-step explanation:

Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!