O A. (2,4) O B. (1,2) O D. (2,2) What is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?

Answer: (100th answer)

perimeter of field b = 260 m

Step-by-step explanation:

First we have to find what is 7/12 of 108?

Well first we need to know what 1/12 of 108 is. Which means we do 108/12. That equals 9. so if 1/12 of 108 = 9

then 7/12 of 108 is 9*7 which is 63.

The width of field A is 63 plus its length, width again and its length again would be its perimeter or

2l + 2w is its perimeter, where l is length and w is width

108*2+63*2= perimeter

216+126 = ?

342 is the perimeter of field A.

We aren't done though.

We have to find 5/6 of 342.

1/6 of 342 is 342/6

342/6 = 52

1/6 of 342 = 52 meaning 5/6 of 342 is equal to 5*52.

5*52 = 260

the perimeter of field b is 260

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:-12x

Step-by-step explanation:

just trust me on this

The number of members is an illustration of proportions, and there are 200 members in the club

The given parameters are:

French = 20%

French = 40

Let the number of members be x.

So, we have:

20% * x= 40

Divide both sides by 20%

x = 200

Hence, there are 200 members in the club

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For the above coordinate sets, the translation rule is (x,y)⇒(x+11,y-10).

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation is a transformation that moves every point in a figure in the same direction by the same amount. For example, this transformation shifts the parallelogram 5 units to the right and 3 units up. Translation in geometry refers to shifting a form into a different place without affecting it in any manner. Shape translation is presented to Year 5 students by providing them shapes on squared paper that must be moved a specified number of squares up, down, left, or right.

Here,

(x,y)⇒(x+11,y-10)

The translation rule for the given sets of coordinates is (x,y)⇒(x+11,y-10).

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The principal amount invested was $9500 if $874 simple interest was earned in 4 years at a rate of 2.3%.

Simple interest = $874,

Rate = 2.3%,

Time = 4 years

Let us calculate the principal amount invested using the formula for simple interest.

Simple Interest = (Principal × Rate × Time) / 100

The Simple interest = $874,

Rate = 2.3%,

Time = 4 years

On substituting the given values in the above formula,

we get: $874 = (Principal × 2.3 × 4) / 100On

Simplifying, we get:

$874 × 100 = Principal × 2.3 × 4$87400

= Principal × 9.2

On solving for Principal, we get:

Principal = $87400 / 9.2

Principal = $9500

Therefore, the principal amount invested was $9500 if $874 simple interest was earned in 4 years at a rate of 2.3%.

Simple Interest formula is Simple Interest = (Principal × Rate × Time) / 100 where  Simple Interest = Interest earned on principal amount,  Principal = Principal amount invested,  Rate = Rate of interest, Time = Time for which the interest is earned.

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Unfortunately, you have not provided the example data set that you would like to graph, analyze, and conclude. Therefore, I will provide general steps on how to accurately graph data, interpret the graph, analyze it, and conclude.

Graph the data set on the appropriate graph. For example, if you have time series data, plot it on a line graph. If you have categorical data, plot it on a bar graph. Ensure to use appropriate labeling for the x-axis and y-axis, including units.

Interpret the graph Analyze the graph by observing its key features such as the shape, trend, and distribution. For example, observe if there is a positive, negative, or no correlation. If there is a trend, is it linear or non-linear What is the range and variability of the data Write the analysis Write the analysis based on your observations State whether the hypothesis was supported or rejected and how the data set contributed to understanding the research question or the phenomenon being studied.

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The first sequence of minimizing operations with the linearization of the objective function and constraints using Sequential Linear Programming (SLP) starting from the point  x0 = (-3, 1) is as follows:

Minimize \(3x^2 - 2xy + 5y^2 + 8y\)

  subject to:

  \(-(x+4)^2 - (y-1)^2 + 4 ≥ 0\)

\(y + x + 2.7 ≥ 0\)

In Sequential Linear Programming, the objective function and constraints are linearized at each iteration to approximate a non-linear programming problem with a sequence of linear programming problems. The first step is to linearize the objective function and constraints based on the starting point x0 = (-3, 1).

The objective function is 3x^2 - 2xy + 5y^2 + 8y. To linearize it, we approximate the non-linear terms by introducing new variables and constraints. In this case, we introduce two new variables, z1 and z2, to linearize the quadratic terms:

z1 = x^2, z2 = y^2

Using these new variables, the linearized objective function becomes:

3z1 - 2xz2^(1/2) + 5z2^(1/2) + 8y

Next, we linearize the constraints. The first constraint, -(x+4)^2 - (y-1)^2 + 4 ≥ 0, can be linearized by introducing a new variable, w1, and rewriting the constraint as:

-(x+4)^2 - (y-1)^2 + w1 = 4

w1 ≥ 0

The second constraint, y + x + 2.7 ≥ 0, is already linear.

With these linearized objective function and constraints, we can solve the resulting Linear Programming Problem (LPP) using methods like the Frank-Wolfe method to find the optimal solution. The obtained solution will be the starting point for the next iteration (x1) in the Sequential Linear Programming process.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

Step-by-step explanation:

a) P = N 150000

R = 5%

T = 5 years

Plug in the values P,R & T in the  formula

I = PRT

\(I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\\)

I = N 30000

b) I = N 16100

R = 7%

T = 5 years

\(PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}\)

P= N 46000

Answer:

\( \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}\)

\( \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}\)

Step-by-step explanation:

a. Given,

Principal ( P ) = N 150000

Rate ( R ) = 5 %

Time ( T ) = 4 years

Interest ( I ) = ?

Finding the Interest ( I )

\( \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}\)

⇒\( \sf{interest = \frac{150000 \times 4 \times 5}{100} }\)

⇒\( \sf{interest = \frac{3000000}{100}} \)

⇒\( \sf{interest = N \: 30000}\)

Interest = N 30000

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

b. Given,

Interest ( I ) = N 16100

Time ( T ) = 5 years

Rate ( R ) = 7 %

Principal ( P ) = ?

Finding the principal

\( \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} \)

⇒\( \sf{ \frac{16100 \times 100}{5 \times 7} }\)

⇒\( \sf{ \frac{1610000}{35} }\)

⇒N \( \sf{46000}\)

Principal = N 46000

Hope I helped!

Best regards!!

hi,

you must replace x by the number between parenthese.

I show you with the first one and let you do the second one

p(x) = 11x^5 -11x^4 - 5x^2 +15x-8

p(-4)  =   11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8

p(-4) =     11  ( -1024- 256) - 5*16 -60-8

p(-4) =   11 ( -1280) -80-60-8

p(-4)   =    - 14080 - 148

p(-4) =   - 14 228

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Apply the compound interest formula:

A= P (1+r/n)^nt

Where:

A: future value of the investment

P: Principal amount

r: interest rate (in decimal form)

n: number of compounding periods in each year

t: years

Replacing:

A= 20,000 (1+0.08/12)^12x40

A = 20,000 (1.0067)^480

A= 485,467.7116

Answer:

(6/11, 16/11)

Step-by-step explanation:

While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically.  Also, reduce ambiguity by using parenthes:  You meant either (5/3)x or 5/(3x).  Which one?  I'm assuming it's (5/3)x.

Then our system is:

(5/3)x - 2y = -2

      x  +  y =  2

Let's eliminate y through addition/subtraction.  Multiply the 2nd equation through by +2:

(5/3)x - 2y = -2

     2x  + 2y = 4

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

(11/3)x       =  2

Multiplying both sides by 3 eliminates the fractional coefficient:

11x = 6

Then x = 6/11.  Now we must solve for y:

-(6/11) + y = 2

Multiplying 2 by 11/11 yields:

-(6/11) + y = 22/11.

This simplifies to y = 16/11

Thus, the solution of this system is

(6/11, 16/11)

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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Answer:

The choice C) y = - 3x + 13

Step-by-step explanation:

\(6x + 2y = 26 \\ 2y = 26 - 6x \\ \\ y = \frac{26 - 6x}{2} \\ \\ \\ y = \frac{26}{2} - \frac{6x}{2} \\ \\ \\ y = 13 - 3x\)

y = - 3x + 13

I hope I helped you^_^

Answer:

C

Step-by-step explanation:

6x + 2y = 26 ( subtract 6x from both sides )

2y = - 6x + 26 ( divide terms by 2 )

y = - 3x + 13 → C

The common ratio of the geometric sequence 4, -5.6, 7.84, and -10.976 is -1.44. A geometric sequence is a sequence of numbers where each term is equal to the previous term multiplied by a constant value, called the common ratio.

To find the common ratio, we divide any term in the sequence by the term before it. In this case, we get:

r = \frac{-10.976}{7.84} = -1.44

Therefore, the common ratio of the geometric sequence is -1.44.

The common ratio can also be found by looking at the pattern of the sequence. In this case, we can see that each term is multiplied by -1.44 to get the next term.

For example, the first term is 4, and the second term is -5.6, which is 4 * -1.44. The third term is 7.84, which is -5.6 * -1.44. And so on.

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Answer:

12

Step-by-step explanation:

1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.

To this, simply divide 48 by 4.

48/4=12

Thus, your answer is 12

Answer: 12

Step-by-step explanation:

1+3+4+6+6+8+9+11 is 48 (you can double check)

48=4*X (calling x as the smiley).

Divide 4 by each side.

12=X

Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

\(\boxed{\text{Volume of cylinder}=πr^2h}\)

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

For more about volume of cylinder, do check out the following!

Answer:

3

Step-by-step explanation:

Length(l) of rectangular pyramid = 2ft.

Width(w) of the rectangular pyramid = 1ft.

Hight(h) of the rectangular pyramid = 2ft.

Volume of Rectangular Pyramid = \(\sf{\frac{1}{3}×Length×Width×Hight}\)

➾\(\sf{\frac{1}{3}×l×w×h}\)(putting the value of l, w and h from above.)

➾\(\sf{\frac{1}{3}×2×1×2}\)

➾\(\sf{\frac{1}{3}×4}\)

➾\(\sf{\frac{4}{3}}\)

Therefore, volume of the given rectangular pyramid = \(\sf{\frac{4}{3} ft^3}\).

And it can be rewritten in the form of mixed fraction as \(\sf{\frac1{1}{3} ft^3}\).

Answer:

m = -5/2

b = 3

Step-by-step explanation:

The equation is in y = mx +b form where m is the slope and b is the y-intercept.  This means that the slope is -5/2 and the y-intercept is 3.

Answer: 36 deg

Step-by-step explanation:

The corresponding angle to 2x is supplementary to 3x which means that 2x+3x = 180

So 5x = 180

x = 36

Answer:

x=36

Step-by-step explanation:

both of those equal 180 degrees, so find a number that you can multiply time 3 and times two and add to get 180 degrees.

6. C. Given

7. C. L is the midpoint of EM

8. .D . Definition of midpoint

9. B . < FLE= <ALM

10. C .ASA Postulate

If x is the smallest of the three, then the next two integers are x + 2 and x + 4.

"Twice the largest is 20 less than the sum of all three" translates to

2 (x + 4) = (x + (x + 4) + (x + 6)) - 20

Solve for x :

2x + 8 = 3x - 10

x = 18

Then the three numbers are {18, 20, 22}.

Answer:look below

Step-by-step explanation:Let x, x+2 & x+4 be the 3 integers.

x+2(x+2)=(x+4)+20

x+2x+4=x+4+20

3x+4=x+24

3x-x=24-4

2x=20

Answer:

36 divided by (6-5) = 36

Step-by-step explanation:

6-5 = 1

36 divided by 1 = 36

Answer:

9

Step-by-step explanation:

since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9