Given j(k) = 4/3K2 – 7k + 1, find the value of J(-12).

Answer:

-2

Step-by-step explanation:

Pay attention to Bold parts

5c+5=2c+3(c+1)

5+5=2+3+3

5c+5=2c+3c+3

5+5=5+3

5c+5=5c+3

5+5−5=5+3−5

Subtract the numbers

5=5−2

5c=5c−2

5−5=5−5−2

Combine like terms

0=−2

\(\\ \rm\hookrightarrow 5c+5=2c+3(c+1)\)

\(\\ \rm\hookrightarrow 5c+5=2c+3c+3\)

\(\\ \rm\hookrightarrow 5c+5=5c+3\)

\(\\ \rm\hookrightarrow 5=3\)

No solutions

Answer:

3j+5d

if this was helpful please mark brainliest. Have a great day.

Answer:

3j+5d

lol.............

(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?

Answer:

-(a-b) (3-4x). hope this helps

Answer:

I think is higher

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).

b) Let's find Y, C, and T step-by-step:

Start with the equation Y = C + I0 + g0.

Substitute C from the equation C = a + b(y - T).

Y = (a + b(y - T)) + I0 + g0.

Substitute T from the equation T = d + tY.

Y = (a + b(y - (d + tY))) + I0 + g0.

Expand the equation:

Y = a + by - bd - btY + I0 + g0.

Rearrange the equation to isolate Y:

Y + btY = a + by - bd + I0 + g0.

Y(1 + bt) = a + by - bd + I0 + g0.

Y = (a + by - bd + I0 + g0) / (1 + bt).

Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.

To find C and T, we can substitute the obtained Y value back into the respective equations:

Substitute Y into the equation C = a + b(y - T):

C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.

C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].

Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.

Substitute Y into the equation T = d + tY:

T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].

Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.

It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.

Answer:

1.5

Step-by-step explanation:

To find the common ratio of a geometric sequence, you divide two consecutive terms together. You can start by dividing 9/6, or 1.5. To confirm this is the common ratio, you can divide 27/2 ÷ 9, which is indeed 1.5. The common ratio is the multiplier of the sequence, so it is consecutive and does not change throughout the function.

Answer:

r = 3/2

Step-by-step explanation:

1.5 written as a fraction is 3/2

The equation of the line 'q' perpendicular to the line 'p' is y = - (7/9)x - 5.

We are aware that there are many types of equations for lines, with the general type being Ax + By + c = 0,

And the slope-intercept form equation is y = mx + b, m is the slope, and b is the y-intercept.

We know, Lines perpendicular to each other have slopes that are negative reciprocals of each other.

Therefore, The line q passing through (9, - 6) has a slope of - (7/9).

Now, - 6 = - (7/9)(9) + b.

- 6 = - 1 + b.

b = -5.

Hence, y = - (7/9)x - 5 is the equation of the line q.

Q. The equation for line p can be written as y= (9/7)x - 9.

Line q is perpendicular to line p and passes through (9, - 6), what is the equation of line q?

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Answer:

B. angle with the greatest measure

opposite the largest angle

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.

An equation which can represent a baby manatee's growth include the following: B. x + 4 ≤ 13.

The variable x represent the baby manatee's growth after birth.

In order to write and solve an inequality that represents a baby manatee's growth, we would take note of the following important information;

Now, we can write an inequality that represents the value of x for which a baby manatee's growth as follows;

x + 4 ≤ 13

By subtracting 4 from both sides of the inequality, we have the following:

x + 4 - 4 ≤ 13 - 4

x ≤ 11

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Answer:

i think 5280÷28 is the correct answer

Answer: OMG The first person who answered was rude anyway this is how you would answer, you can round the you can round the total cost to get a $6000 estimate, which you will divide by 30 which is your rounded number estimate for the number of windows in the house.

The cost of each window is about $208.00. To solve this you divide $5820 by 28 round up to the nearest whole dollar.

Step-by-step explanation: I hope this helps have a nice day (;

Answer:

ABC

Step-by-step explanation:

Answer:

YZX ~ ABC

Step-by-step explanation:

For Angle Y, there is one curved line, so you must go to the other triangle and find which angle has one curved line too, in this case that is angle A. Then, Angle Z has three curved lines, and in the other triangle, Angle B has three curved lines, so you now have AB, which only leaves C left. So your final answer is ABC.

Answer:

Dilate Circle A by a scale factor of 3

Step-by-step explanation:

Circle A has a radius of 3, Circle B has a radius of 9. By dilating Circle a by a scale factor of 3, it will make it the same size as Circle B, showing that the two circles are similar.

Rotating and reflecting does nothing because both circles are in the same quadrant and rotating a circle does nothing to the placement.

Translating the circle (x+3, y-2) does not put it in the same place as circle B.

9514 1404 393

Answer:

  15.8 ÷ 3.9

Step-by-step explanation:

To make up this problem, we can start with two numbers whose quotient we know is 4, such as 16 and 4. Then we can choose two numbers that round to these values, such as 15.8 and 3.9

__

The problem 15.8 ÷ 3.9 has an estimated quotient of 4. The estimate is found by rounding each value to the nearest integer and finding the quotient of those numbers: 16/4 = 4.

_____

Additional comment

The actual quotient is 4 2/39, about 4.05128.

The graph of f(x) = x(x+5)(x+3) / (x+3)(x+5) bears resemblance to the line y=x since both plots share similar linear characteristics.

Both the numerator and denominator of f(x) = x(x+5)(x+3) / (x+3)(x+5) cancel out the factors (x+3) and (x+5), giving us a simplified expression for the function, f(x) = x.

A line with a slope of 1 passes through the origin in an upward direction. When we examine the graph of y=x, which is a straight line passing through the origin with a slope of 1, it becomes apparent that adding 1 to x also adds 1 to y.

Since the simplified expression is merely f(x) = x, we can deduce that the graph of this function follows a linear path passing through the origin with a slope of 1.

In conclusion, the graph of f(x) = x(x+5)(x+3) / (x+3)(x+5) bears resemblance to the line y=x since both plots share similar linear characteristics.

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There are three people to choose from to go on the left, and once we have chosen one of them, the other two people can be arranged in 2! ways.

There are 3 * 2! = 6 ways to arrange them if the woman will be on the left in the picture.

There are three people to choose from to go on the left, and once we've decided on one, the other two can be arranged in 2! ways.

Similarly, there are three people to choose from to go in the middle, and once we have chosen one of them, the other two people can be arranged in 2! ways.

Therefore, there are 3 * 2! = 6 ways to arrange them if the woman will be in the middle of the picture.

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Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e

24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

The nth term of the given sequence is 1/n².

An arithmetic progression (AP) is a sequence of numbers in which each term, starting from the second term, is obtained by adding a fixed constant value to the previous term. This constant value is called the common difference, and it remains the same throughout the sequence.

A geometric progression (GP) is a sequence of numbers in which each term, starting from the second term, is obtained by multiplying the previous term by a fixed constant value. This constant value is called the common ratio, and it remains the same throughout the sequence.

In the given question,

The given sequence is of the form:

1, 1/2², 1/3², 1/4², ...

So, the nth term can be written as:

1/n²

Therefore, the nth term of the given sequence is 1/n².

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Translation then Rotation or Rotation then Translation

We know that,

1. Rotation turns the figure around a point to a certain degree

2. Translation slides the figure in any direction

Now, it is given that the triangles BCD and WXY are congruent by the SSS Theorem.

The corresponding three sides of both triangles are equal.

So, the only possible ways for the triangles to be congruent are

I. If we first translate the figure BCD to the right and then rotate it counter-clockwise. i.e. Translation, then rotation.

II. If we first rotate the figure counter-clockwise and then translate the figure BCD to the right. i.e. Rotation, then translation.

Hence, either Translation then Rotation or Rotation then Translation maps BCD onto WXY.

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Answer:

C. translation, then rotation

Step-by-step explanation:

got it right on edge

The two numbers that multiply to 375 and add to -10 are -25 and 15.

To find two numbers that multiply to 375 but add to -10, we can use a system of equations.

Let's call the two numbers we're looking for x and y. Then we have:

xy = 375 (since they multiply to 375)

x + y = -10 (since they add to -10)

We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:

y = -x - 10

Now we can substitute this expression for y into the first equation:

x(-x - 10) = 375

Expanding the left side gives:

-x^2 - 10x = 375

Bringing everything to one side gives:

x^2 + 10x - 375 = 0

We can factor this quadratic equation as:

(x + 25)(x - 15) = 0

This gives us two possible values for x: x = -25 or x = 15.

If x = -25, then y = -10 - (-25) = 15.

If x = 15, then y = -10 - 15 = -25.

So, The two numbers that multiply to 375 and add to -10 are -25 and 15.

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Answer:

m+5

Step-by-step explanation:

4m+5-3m

1m+5

Answer:

2250 g of nut mixture

Step-by-step explanation:

In order to use the ratio, we have to divide that 750 g by 3.

So 250 g multiplied by 5 is 1250. That's the amount of peanuts. Then just 1 for the cashews.

So, adding all of that up, the answer is 2250 g of nut mixture.

Answer:

1350g of nut mixture

Step-by-step explanation:

5:3:1 = 5x + 3x + x

5x = 750

x = 150

5x + 3x + x

= 5(150) + 3(150) + (150)

=750 + 450 + 150

=1350g

Hope it helps...

Answer:

3x=-x-60

Step-by-step explanation:

Answer

1. x = (2/3)y²

2. x = 54 when y = 9

3. y = 7.35 when x = 36

Explanation

1. x ∝ y²

x = 24, y = 6

x = ky²

24 = k x 6²

24 = 36k

k = 24/36

k = 2/3

∴ x in terms of y is x = (2/3)y²

2. Using x = (2/3)y² to to find x when y = 9, we have

x = (2/3) x 9²

x = 2/3 x 81

x = 2 x 27

x = 54

∴ x = 54 when y = 9

3. Using x = (2/3)y² to to find y when x = 36, we have

36 = (2/3)y²

36 = 2y²/3

2y² = 36 x 3

y² = 108/2

y² = 54

y = √54

y = 7.35

∴ y = 7.35 when x = 36

The  answer of this queation :∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C

where C = C1 + C2 + C3 is the constant of integration for the entire expression.

eparate integrals:

∫ 4 dx + ∫√x dx + ∫ x/x dx

The first two integrals can be easily integrated as follows:

∫ 4 dx = 4x + C1, where C1 is a constant of integration.

∫√x dx = 2/3 x^(3/2) + C2, where C2 is a constant of integration.

For the third integral, note that x/x simplifies to 1 for all nonzero x.

∫ x/x dx = ∫ 1 dx = x + C3, where C3 is a constant of integration.

Putting it all together, we have:

∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C

where the integration constant for the entire statement is C = C1 + C2 + C3.

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a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

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Answer:

C and E

Step-by-step explanation:

Answer:

forty nine eight hundred in a decimal

= 49800.0

one ten thousands in a decimal​

= 10000.00

Step-by-step explanation:

forty nine eight hundred and one ten thousands in a decimal​

First of all.

Let's take forty nine eight hundred

Converting it to decimal

= 49800.0

forty nine eight hundred= 49800.0

For the second one

one ten thousands in a decimal​

Converting it to decimal

= 10000.00

one ten thousands in a decimal​

= 10000.00 in decimal