Chords WP and KZ intersect at point L in the circle shown.Wz*3x - 22KIL5РWhat is the length of KZ?7.5910O 12

Chords WP And KZ Intersect At Point L In The Circle Shown.Wz*3x - 22KIL5What Is The Length Of KZ?7.5910O

Answers

Answer 1

For the cicle with intersecting chords the relation between the length of segments of chords is,

[tex]KL\cdot ZL=WL\cdot PL[/tex]

Substitute the values in the equation and solve for x.

[tex]\begin{gathered} 2\cdot(3x-2)=x\cdot5 \\ 6x-4=5x \\ 6x-5x=4 \\ x=4 \end{gathered}[/tex]

So value of x is 4.

The equation for the length of chord KZ is,

[tex]\begin{gathered} KZ=KL+LZ \\ =2+3x-2 \\ =3x \end{gathered}[/tex]

Substitute the value of x in equation to determine the length of KZ.

[tex]\begin{gathered} KZ=3\cdot4 \\ =12 \end{gathered}[/tex]

So answer is 12.


Related Questions

Please help me come you just tell me the answer I don’t really need you to explain

Answers

Given:

[tex]\begin{gathered} \angle JKL=65 \\ \angle KJL=50 \end{gathered}[/tex]

Sum of the angle of any triangle is 180

So:

[tex]\begin{gathered} \angle JKL+\angle KJL+\angle KLJ=180 \\ 65+50+\angle KLJ=180 \\ \angle KLJ=180-(65+50) \\ \angle KLJ=180-115 \\ \angle KLJ=65 \end{gathered}[/tex]

Then two sides are also equal.

[tex]\begin{gathered} 3x-2=x+10 \\ 3x-x=10+2 \\ 2x=12 \\ x=\frac{12}{2} \\ x=6 \end{gathered}[/tex]

So the value of x is 6.

True or false the surface area of a sphere with a radius of 10 units is larger than the surface area of a cube with edge lengths of 10 units

Answers

The surface area of a sphere is given by

[tex]S_s=4\pi r^2[/tex]

in our case r=10 units ( the radius). By substituting this value into the last formula, we have

[tex]S_s=4(3.1416)(10^2)[/tex]

which gives

[tex]S_s=1256.64u^2[/tex]

On the other hand, the surface area of a cube is given by

[tex]S_c=6L^2[/tex]

where L is the length of one side, that is, L=10. Then, we have

[tex]\begin{gathered} S_c=6\cdot(10^2) \\ S_c=6\cdot100=600u^2 \\ S_c=600u^2 \end{gathered}[/tex]

By comparing both results, we can see that the surface area of our sphere is larger than the surface area of the given cube. So the answer is TRUE.

At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner radius is 7 yd and its outer radius is 9 yd.We are going to give a new layer of coating to the path. If one gallon of coating can cover 5v * d ^ 2 how many gallons of coating do we need? Note that coating comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for pi.)

Answers

[tex]\begin{gathered} r=7yd \\ R=9yd \\ A=\pi(R^2-r^2) \\ A=\pi((9yd)^2-(7yd)^2) \\ A=100.5yd^2 \\ ratio=5yd^2/\text{gallon} \\ #\text{ gallon=}\frac{100.5yd^2}{5yd^2/\text{gallon}} \\ #\text{ gallon=20.1} \\ \text{21 gallons of coating are needed} \end{gathered}[/tex]

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.

Answers

Given the table that shows the number of movies and the corresponding frequency, you can determine that the total frequency is:

[tex]Total\text{ }Frequency=25[/tex]

By definition:

[tex]Relative\text{ }Frequency=\frac{Frequency}{Total\text{ }Frequency}[/tex]

By definition, the Cumulative Frequency can be obtained by adding the corresponding frequency with the previous frequencies and dividing the sum by the Total Frequency.

Therefore, you can determine that:

- For:

[tex]Frequency=3[/tex]

You know:

[tex]Relative\text{ }Frequency=\frac{3}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3}{25}[/tex]

- Given:

[tex]Frequency=8[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{8}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8}{25}=\frac{11}{25}[/tex]

- Given:

[tex]Frequency=9[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{9}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9}{25}=\frac{4}{5}[/tex]

- Given:

[tex]Frequency=4[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{4}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4}{25}=\frac{24}{25}[/tex]

- Given:

[tex]Frequency=1[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{1}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4+1}{25}=\frac{25}{25}=1[/tex]

Hence, the answer is:

in the graph below line k,y=-x makes a 45 degree angle with the x and y axescomplete the following

Answers

step 1

The equation of line k is y=-x

The rule of the reflection across the line y=-x is equal to

(x,y) -------> (-y,-x)

so

we have the point (2,5)

Apply the rule

(2,5) -----> (-5,-2)

step 2

Reflection across the x axis

The rule of the reflection across the x axis is

(x,y) ------> (x,-y)

so

Apply the rule to the point (-5,-2)

(-5,-2) ------> (-5,2)

therefore

the answer is

(-5,2)

Select the graph for the solution of the open sentence. Click until the correct graph appears. Ix| + 3 > 3

Answers

Given the sentence;

[tex]\mleft|x\mright|+3>3[/tex]

Subtracting 3 from both sides;

[tex]\begin{gathered} \mleft|x\mright|+3>3 \\ |x|+3-3>3-3 \\ \mleft|x\mright|>0 \end{gathered}[/tex]

Given the absolute value of x to be greater than zero, the range of value of x is;

[tex]\begin{gathered} x>0 \\ or \\ x<0 \end{gathered}[/tex]

Therefore, the correct graph of the solution is;

Hannah is saving money to buy some lirns. She invests $290 in a savings account that earns 7.6% interest, compounded annually. How much money will she have in her account after 2 years? Answer in dollars and round to the nearest cent.

Answers

Principal amount, P= $290.

Rate, r = 0.076

Time, t = 2

Therefore, the total amount in her account after 2 years is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Hence,

[tex]\begin{gathered} A=290(1+0.076)^2 \\ =335.755 \end{gathered}[/tex]

Therefore, the amount is 335.80 dollars.

That is, 335 dollars and 80 cents.

1. Abby baked 2-dozen brownies. She took 1 dozen to her scout meeting. Her family ate 8, and she put the rest in a container in the refrigerator. How can Abby find the number of brownies left in the refrigerator?

Answers

In order to determine the amount of brownies left in the refrigerator, subtract 8 from 12.

How many brownies are left in the refrigerator?

If Abby bakes 2 -dozen brownies, she baked 24 brownies. There are 12 pieces in 1 dozen, thus if she bakes two dozens, she baked 24 brownies ( 12 x 2).

The amount of brownies left after she takes one dozen to school = amount baked - amount taken for the meeting

24 - 12 = 12

Amount left in the refrigerator : amount left after she took a dozen for the meeting - amount eaten by her family

12 - 8 = 4

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Solve the following system of equations graphically on the set of axes below. Plot two or more dotes on the graphy = 2x - 8 y = -x + 4

Answers

Given:-

[tex]y=2x-8,y=-x+4[/tex]

To find the graphical representation.

So the graph of y=2x-8 is,

Also the graph of y=-x+4 is,

Combining we get the graph

So the point is (4,0).

3. Define and find the value of the central angle theinscribed angle, and the arc associated with both.Central angle:namemeasureInscribed angle:namedoYmeasureArc:namemeasure

Answers

Given

Answer

Central angle

Name XOY

Measure 90

Inscribed angle

name XZY

Measure 45

Arc

name XY

Measure = circumference of circle/4

match the function rule with the graph of the function (number 24)

Answers

It is given that the function is:

[tex]y=\frac{3}{4}\times4^x[/tex]

Therefore y=0 then the value of x will be:

[tex]\begin{gathered} 0=4^x \\ x=-\infty \end{gathered}[/tex]

Now at x=0, y will be:

[tex]y=\frac{3}{4}[/tex]

at x=1, y will be:

[tex]y=\frac{3}{4}\times4=3[/tex]

These 3 points that is (-inf,0),(0,3/4),(1,3) are on graph D.

Hence option D is coreect.

13. slove for x so the [tex]f(x) = 5[/tex]

Answers

Solution

We have the following function given:

f(x) = -3x+5

And we need to do the following:

5= -3x+5

And if we subtract 5 in both sides we got:

0 =-3x

Dividing both sides by -3 we got:

[tex]\frac{0}{-3}=\frac{-3x}{-3}[/tex]

And finally we got:

x= 0

Problem 17

17) f(-2)= 3

18) f(0)= 3

19) f(1)= 0

20) f(-1)= 5.2

the math club has 18 members and 50% are sixth graders.The science club has 25 members and 40% are sixth graders. The principal wants to know which club has more sixth graders.

Answers

The science club had more sixth graders.

How to calculate the value?

The math club has 18 members and 50% are sixth graders. The number of sixth graders will be:

= Percentage × Number of members

= 50% × 18

= 0.5 × 18

= 9

The science club has 25 members and 40% are sixth graders. The number of sixth graders will be:

= Percentage × Number of members

= 40% × 25

= 0.4 × 25

= 10

Since 10 is more than 5, the science class has higher number.

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The following circle passes through the origin. Find the equation.

Answers

Answer

(x - 2)² + (y - 2)² = 8

Step-by-step explanation

The equation of the circle centered at (h, k) with radius r is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

In this case, the center of the circle is the point (2, 2), then h = 2 and k = 2, that is,

[tex](x-2)^2+(y-2)^2=r^2[/tex]

Given that the circle passes through the center, then the point (0, 0) satisfies the above equation. Substituting x = 0 and y = 0 into the equation and solving for r²:

[tex]\begin{gathered} (0-2)^2+(0-2)^2=r^2 \\ 4+4=r^2 \\ 8=r^2 \end{gathered}[/tex]

Substituting r² = 8 into the equations, we get:

[tex](x-2)^2+(y-2)^2=8[/tex]

Use the rectangle at the right to answer the following questions. a. Find the area of the entire rectangle. Show your work. b. Calculate the perimeter of the figure. Show your work.

Answers

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

Finding the mode and range of a data set Each day, Kaitlin records the number of news articles she reads. Here are her results for the last eight days. 7, 3, 8, 5, 7,7,7,8 Find the mode and the range for the data. Mode: Range: X 5 ?

Answers

Explanation:

The set of values are given below as

[tex]7,3,8,5,7,7,7,8[/tex]

Mode:

This the data that occurs highest or the dat that has the highest frequency

Range:

The is the difference between the lowest val and the highest value

[tex]Range=highest-lowest[/tex]

Hence,

The final answers are

[tex]\begin{gathered} mode=7(it\text{ occurs 4 times\rparen} \\ range=8-3=5 \end{gathered}[/tex]

Hence,

The final answer is

[tex]\begin{gathered} mode=7 \\ Range=5 \end{gathered}[/tex]

Question 37?Find the indicated function and state its domain in interval notation?

Answers

Given the functions:

[tex]\begin{gathered} f(x)=-\sqrt[]{x-3} \\ g(x)=3x \end{gathered}[/tex]

You need to multiply them, in order to find:

[tex](f\cdot g)(x)[/tex]

Then, you get:

[tex]\begin{gathered} (f\cdot g)(x)=(-\sqrt[]{x-3})(3x) \\ (f\cdot g)(x)=-3x\sqrt[]{x-3} \end{gathered}[/tex]

In order to find the Domain, you need to remember that the Domain of a Radical Function are those input values (x-values) for which the Radicand is positive. Then, in this case, you need to set up that:

[tex]x-3\ge0[/tex]

Now you have to solve for "x":

[tex]x\ge3[/tex]

Therefore:

[tex]Domain\colon\lbrack3,\infty)[/tex]

Hence, the answer is:

[tex]\begin{gathered} (f\cdot g)(x)=-3x\sqrt[]{x-3} \\ \\ Domain\colon\lbrack3,\infty) \end{gathered}[/tex]

Marco states that 7.696696669...... is a rational numberbecause it is a repeating decimal. Is he correct? Justifyyour answer.Yes he is correct because it keeps going and going and it will go on forever and ever so that is my guess

Answers

The answer is NO, Marco is wrong.

The number 7.696696669.... has not a repeating decimal there is no a number that is repeating, like 0.6969696969... in the last number the 69 is repeating, in the Marco's number the decimal number change every time.

Hi, i tried to solve this problem, but I can't manage to do it, can you help me ?

Answers

Length of y is 25.2.

Given:

The angle is given as 35 degree and a side is 36.

The objective is to find the length of the side y.

In a right angled traingle, the side opposite to the given angle is called oppotise side, the other smaller side is called adjacent side and the longer side is called hypotenuse.

Here, opposite side is y and adjacent side is 36.

Then, the relationship between oppsote and adjacent can be calculated using the trigonometric ratio of tan theta.

[tex]\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan 35^0=\frac{y}{36} \\ y=36\cdot\tan 35^0 \\ y=36(0.7) \\ y=25.2 \end{gathered}[/tex]

Hence, the length of y is 25.2.

what is 2 to the 6 power

Answers

[tex]\begin{gathered} 2\text{ to the power 6 is } \\ 2^6 \end{gathered}[/tex][tex]2^6=2\times2\times2\times2\times2\times2=64[/tex]

LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses 5 ounces of coffee. She wants to make 48 ounces of caffe mocha.

Let c represent the number of ounces of coffee, and let s represent the number of ounces of chocolate syrup used. Which of the following systems of equations models this situation?

Answers

The systems of equations which correctly models the situation as described is;

s = 5c ands + c = 48

Which systems of equations correctly models the situation as described in the task content?

It follows from the task content that the system of equations which models the production process of caffe mocha be determined.

As given in the task content;

Let c represent the number of ounces of coffee.Let s represent the number of ounces of chocolate syrup.

Hence, since For each ounce of chocolate syrup, she uses 5 ounces of coffee, the situation can be represented algebraically as;

s = 5c.

Also, since she wants to make 48 ounces of caffe mocha; we have;

s + c = 48.

Therefore, the required system of equations is;

s = 5c ands + c = 48.

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Which statements describe one of the transformations performed on f(x) = x?to create g(x) - 3(x + 5)2 - 2? Choose all that apply.DA. A translation of 2 units to the leftI B. A vertical stretch with a scale factor of 3O C. A vertical stretch with a scale factor of3O D. A translation of 5 units to the left

Answers

Solution:

The Function transformation of f(x) is:

[tex]g(x)=f(x+c)+d[/tex]

If c > 0, then the graph shift left f(x+c).

If c<0, then the graph shift right f(x-c)

If d > 0, then the graph shift up f(x) +d

If d < 0, then the graph shift down f(x) -d

When the given equation is:

[tex]f(x)=x^2[/tex]

The transformation equation is given:

[tex]g(x)=3(x+5)^2-2[/tex]

Then, the graph shifts down 2 units and shifts left 5 units.

Also, the vertical stretch with a scale factor 3.

Therefore, the correct options are B and D.

Find the distance d(P1, P2) between the given points P1 and P2: P1 =(0,0) P2 = (2,3)d(P1,P2) = (Simplify your answer using radical as needed)

Answers

Recall that given points (a,b) and (c,d) the distance between them would be

[tex]d=\sqrt[2]{(c\text{ -a\rparen}^2+(d\text{ -b\rparen}^2}[/tex]

In our case we are given a=0,b=0,c=2,d=3. So the distance would be

[tex]d=\sqrt[2]{(2\text{ -0\rparen}^2+(3\text{ -0\rparen}^2}=\sqrt[2]{2^2+3^2}=\sqrt[2]{4+9}=\sqrt[2]{13}[/tex]

so the distance between them is the square root of 13.

need help please 16x=-44-4y
-8x=28+4y

Answers

Answer: (x,y)= (-2/5,-43/5)

Step-by-step explanation:

To achieve mastery of this lesson, make sure you develop responses to the following questions: How are exponential functions graphed? How do you compare exponential functions? How do you transform exponential functions? help

Answers

For exponential functions, it is found that:

They are graphed looking at the asymptote, the intercept, the rate of change and the end behavior.They are compared by the rate of change.They are transformed with translations and stretching/compression.

What is an exponential function?

An exponential function is modeled according to the rule presented as follows:

[tex]y = ab^x + c[/tex]

In which the coefficients of the rule are given as follows:

a is the intercept of the function, the value of y when it crosses the y-axis.b is the rate of change of the function.c is the asymptote of the function.

To graph the function, along with the coefficients of the function, the end behavior of the function is needed, as follows:

Limit of y when x goes to negative infinity: gives the behavior at the left end of the graph.Limit of y when x goes to positive infinity: gives the behavior at the right end of the graph.

They are compared by their rate of changes, if they are increasing/decreasing, and which one increases faster.

The transformations are as follows:

Translation: a constant is added to either x or y(changing the asymptote if y), meaning that the function can be moved down, up, left or right.Stretching: a constant multiplies x or y, meaning that the graph can be either compressed or stretched vertically or horizontally.

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The formula for the perimeter of a
rectangle is P = 2l + 2w. Solve the formula for
w.

Answers

P = 2l + 2w

P = 2( l + w )

P/2 = 2( l + w ) /2

P/2 = l + w

answer: w = P/2 - 1

Solve any quality express your answer in interval notation you decimal forms for numerical values

Answers

Solution

[tex]\begin{gathered} 5z-11<-6.6+3z \\ Subtract\text{ 3z from both side} \\ 5z-3z-11<-6.6+3z-3z \\ 2z-11<-6.6 \\ Add\text{ 11 to both sides } \\ 2z-11+11<-6.6+11 \\ 2z<4.4 \\ \end{gathered}[/tex][tex]\begin{gathered} Divide\text{ both sides by 2} \\ \frac{2z}{2}<\frac{4.4}{2} \\ z<2.2 \\ z<2.2 \end{gathered}[/tex]

In interval notation, we have

[tex]\left(-\infty \:,\:2.2\right)[/tex]

The answer is

[tex]\left(-\infty \:,\:2.2\right)[/tex]

Is Ari’s answer to the question, correct? If not, where did Ari make a mistake? If his answer is incorrect, explain what the correct answer is and why it is correct.

Answers

None of Ari's answer to the question is correct. The right application of the laws of exponents to get the correct answer is explained below.

What are the Laws of Exponents?

Some of the laws of exponents can be summarized as follows.

The product law of exponents: This states that we are to add the exponents together if we are multiplying two numbers that have the same base. For example, [tex]x^m \times x^n = x^{m + n}[/tex].The division law of exponents: this states that when dividing two numbers that have the same base, we are to find the difference of their exponents. For example,  [tex]\frac{x^m}{x^n} = x^{m - n}[/tex].The negative law of exponents: This state that, [tex]x^{-m} = \frac{1}{x^m}[/tex].

Based on the above laws of exponents, none of Ari's answer is correct. Below are the correct way to solve the questions:

1. [tex]4^2 \times 4^5 = 4^{2 + 5} = 4^7[/tex]

2. [tex](2^{-5})^3 = 2^{-3 \times 5} = 2^{-15} = \frac{1}{2^{15}}[/tex]

3. [tex]\frac{(\frac{1}{4})^4 \times (\frac{1}{4})^5 }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^{4 + 5} }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^9 }{(\frac{1}{4})^3} = (\frac{1}{4})^{9 - 3}} = (\frac{1}{4})^6[/tex]

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Which point is part of the solution of the inequality y ≤ |x+2|-3A.(-1,-1)B.(1,0)C.(0,0)D.(0,1)

Answers

We are going to test all options to see which is true and false.

The one that is true will be the point that is part of the solution.

[tex]\begin{gathered} A) \\ (-1,-1) \\ y\leq\lvert x+2\rvert-3 \\ -1\leq\lvert-1+2\rvert-3 \\ -1\leq\lvert1\rvert-3 \\ -1\leq1-3 \\ -1\leq-2 \\ \text{Not true, so the point (-1,-1) is not a part of the solution} \end{gathered}[/tex]

We will move to the next option and test:

[tex]\begin{gathered} B) \\ (1,0) \\ y\leq\lvert x+2\rvert-3 \\ 0\leq\lvert1+2\rvert-3 \\ 0\leq\lvert3\rvert-3 \\ 0\leq3-3 \\ 0\leq0 \\ \text{The above solution is true, so it is a point that is part of the solution.} \\ \text{The correct answer is option B.} \end{gathered}[/tex]

The price of Stock A at 9 A.M. was ​$12.42. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$12.92. It begins to decrease at the rate of ​$0.09 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

The hours when the prices of the two stocks be the same is 2.38 hours.

How to illustrate the information?

From the information, the price of Stock A at 9 A.M. was $12.42 and the price has been increasing at the rate of $0.12 each hour. This will be the expressed as 12.42 + 0.12h.

At noon the price of Stock B was $12.92. It begins to decrease at the rate of $0.09 each hour. This will be:

= 12.92 - 0.09h

where h = number of hours

Equate both equations. This will be:

12.42 + 0.12h = 12.92 - 0.09h

Collect like terms

12.92 - 12.42 = 0.12h + 0.09h

0.21h = 0.50

h = 0.50 / 0.21

h = 2.38 hours.

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13. if we assume that there is no fixed manufacturing overhead and the variable manufacturing overhead is $7 per direct labor-hour, what is the estimated cost of goods sold and gross margin for july? the total cost of 4800 pounds of the metal now held in inbentory is 310000 the total selling price is 862000 and the estimated costs of disposal are 13800 at what amount should the inventory of 4800 pounds be reported in the balance sheet Henry has 3 3/5 metres of rope, and Sam has a piece of rope that is 1 1/2 metresshorter. What is the total amount of rope that the boys have together? HOLLYWOOD DREAMS OF WEALTH, YOUTH, AND BEAUTY Write an equation of a line that is parallel to thegiven line. Then, write one that is perpendicular.x = -4 7. Principal = $39,300, Rate = 4.5%, Time = 6 months. What will that total principal + interest payment be rounded to the nearest dollar? o Lidhe total amount of if the probability of drawing an A or B is 9/25, what is the probability of the complementary event? The table to right gives the projections of the population of a country from 2000 to 2100.Answer parts (a) through (c). How many grams of CO are produced when 33.0 g of C reacts? Fe2O3(s)+3C(s)2Fe(s)+3CO(g) What type of energy is the sum of kinetic and potential energy in an object that is used to do work?. ANSWER ASAP!! Raise the monomial to a power: -2m^3n^2t to the power of 4 a taxpayer may exclude which of the following from their gross income?A. an allocation of income from a business structured as a partnership, based on the taxpayers percentage of ownership.B. dividend income from a mutual fund investment.C. gain from the sale of rental property.D. life insurance if paid by reason of death of the insured Solve the system of equations below using any method you learned in this unit. Show all work (even if you are using your calculator). Deposits are insured by the federal deposit insurance corporation up to _____________ per depositor. larry signs a note payable for $40,000. the principal of the note and interest are due in 2 years, and the note bears interest at 12% compounded annually. what is the total interest that must be repaid at the end of year 2? The distance to your brother's house is 481 miles, and the distance to Disneyland is 518 miles. If it took 13 hours to drive to your brother's house, how long would you estimate the drive to Disneyland to take? Sarah wants to take a vacation that will cost 2,562 if sarah plans to save for 9 months, then how much needs to be saved per month Why would Democratic-Republicans disagree with the Marshall Courts decision in McCulloch v Maryland? Find an equation for the perpendicular bisector of the line segment whoseendpoints are (-3, 2) and (7, 6). The segments shown below could form a triangle 6 5 8 true or false