Find the surface area of the cylinderA). 188.4 ft^2B). 226.08 ft^2C). 244.92 ft^2D). 282.6 ft^2

Find The Surface Area Of The CylinderA). 188.4 Ft^2B). 226.08 Ft^2C). 244.92 Ft^2D). 282.6 Ft^2

Answers

Answer 1

To solve this problem, we will use the following formula for the surface area of a cylinder:

[tex]A=2\pi rh+2\pi r^2,[/tex]

where r is the radius of the base, and h is the height of the cylinder.

Substituting h= 10 ft, and r = 3 ft in the above formula, we get:

[tex]A=2\pi(3ft)(10ft)+2\pi(3ft)^2.[/tex]

Simplifying, we get:

[tex]A=244.92ft^2.[/tex]

Answer: Option C.


Related Questions

Which angles are adjacent to each other? Select all that apply.

Answers

Answer:

I think it's all the options but I cant confirm.

Step-by-step explanation:

adjacent angles are angles that:

- have the same vertex

- share one side

I was wondering if you could help me with this problem. I am not sure where to start solving it. Thank you.

Answers

As shown at the graph, we need to find x and y

The angles (x+1) and (2y+1) are vertical

so, x + 1 = 2y + 1

so,

x = 2y eq.(1)

And the sum of the angles (x+1) , (3x + 4y) and (71 - 3y) are 180

So,

(x+1) + (3x + 4y) + (71-3y) = 180

x + 1 + 3x + 4y + 71 - 3y = 180

4x + y = 180 - 1 - 71

4x + y = 108

Substitute with x from eq (1) with 2y

4 * 2y + y = 108

8y + y = 108

9y = 108

y = 108/9 = 12

x = 2y = 2 * 12 = 24

So, x = 24 and y = 12

what is the volume of a right triangular pyramid whose base is 5 meters on each side and whose altitude is 4 meters? round to the nearest hundred

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Right triangular pyramid

base = 5 meters

altitude = 4 meters

Volume = ?

Step 02:

The volume of a right triangular pyramid

V = 1/3 B * h

B = 1/2 b * h

[tex]\begin{gathered} B\text{ = }\frac{1}{2}\cdot5m\cdot4m \\ B=\text{ }10m^2 \end{gathered}[/tex][tex]V\text{ = }\frac{1}{3}\cdot10m^2\cdot4m=\text{ }13.3333m^3[/tex]

The answer is:

The volume of the pyramid is 13.33 m³.

The line 3x + 4y - 7 = 0 is parallel to the line k . x + 12y + 3 = 0. What is the value of k?

Answers

The function is solved below

What is a function?

The function is instantly given a name, such as a, in functional notation, and its description is supplied by what it does to the input x, using a formula in terms of x. Instead of sine, put sine x. (x). Leonhard Euler invented functional notation in 1734. Some commonly used functions are represented with a symbol made up of many letters (usually two or three, generally an abbreviation of their name). In this scenario, a roman font is typically used, such as "sine" for the sine function, rather than an italic font for single-letter symbols. A function is also known as a map or a mapping, however some writers distinguish between "map" and "function."

The function can be written as

3x+4y-7 = 0

or, y = (-3/4)x + 7/4

so, slope = -3/4

and other function is

kx+12y+3 = 0

or, y = (-k/12)x - 1/4

so, slope = -x/12

Given the lines are parallel, so slopes are equal

i.e., -3/4 = -k/12

or, k = (3/4)12 = 9

Hence, the value of k is 9.

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NO LINKS!! Show all work where necessary to get full credit Part 2​

Answers

21. Circle R

A circle is named using its center.

22. RV

A radius connects the center to a point on the circle.

23. ZV

A chord connects two points on the circle.

24. TX

A diameter passes through the center of the circle and connects two points on the circle.

25. RV

See 22 and 24.

26. 4 feet

The diameter is twice the radius, 2(2)=4.

Answer:

21.  R

22.  RU

23.  VZ

24.  BE

25.  RU

26.  4 feet

Step-by-step explanation:

Question 21

A circle is named by its center.

Therefore the name of the given circle is R.

Question 22

The radius of a circle is a straight line segment from the center to the circumference.  

Therefore, the radii of the given circle are:

RZ, RT, RU, RV, RW and RX.

Question 23

A chord is a straight line segment joining two points on the circumference of the circle.  

Therefore, the chords of the given circle are:

WZ, TX and VZ.

Question 24

The diameter of a circle is the width of the circle at its widest part. It is a straight line segment that passes through the center of the circle and whose endpoints lie on the circumference.

Therefore, the diameters of the given circle are:

TX and WZ.

Question 25

As the diameters are TX and WZ, they contain the radii RZ, RT, RW and RX.

Therefore, the radii that are not contained in the diameter is:

RU and RV.

Question 26

The diameter is twice the length of the radius.

Therefore, if the radius of the circle is 2 feet:

⇒ Diameter = 2 × 2 = 4 feet.

Find the missing side of this righttriangle.x816x= V[?]=Enter the number that belongs in the green box.Enter

Answers

As gien by the question

There are given that the right angle triangle.

Now,

To find the value of x, use Pythagoras theorem:

So,

From the Pythagoras theorem;

[tex]\begin{gathered} x^2+8^2=16^2 \\ x^2+64=256 \\ x^2=256-64 \\ x=\sqrt[]{192} \end{gathered}[/tex]

Hence, the value of x is shown below:

[tex]x=\sqrt[]{192}[/tex]

32. Challenging. Read this one very carefully. Carla runs a small business where she makes artificial flower arrangements. A customer has placed a large order for 100 identical arrangements. Carla has made a list of supplies that she needs to make the entire order. Each arrangement needs a plastic molding. It will cost Carla $3.25 for each plastic molding. She also needs 4 packages of colored netting, which sell for $15.00 each. However, the company she orders from has a special on the netting packages. If you buy 3 packages of netting, you get a package for free. Polyester fabric is another item she will need. She needs 180 square feet of polyester fabric that sells for $5.20 per square yard. Lastly she needs artificial stems. She will need 6 stems per arrangement and they are sold in packs of 10. The cost for one pack of artificial stems is $2.50. if Carla sells each arrangement for $20.00,How much money will Carla make off the order once she subtracts her expenses for the supplies.

Answers

Substract expenses

Carlas expenses are

1. 100 Arrangements

2. Plastic molding PM = 3.25

3. Colored netting CN = 15

4. Four packages netting = 3 packages

5. 180 feet2 ,. 1 yard2=5.20

6. 10 stems = 2.5x10 = $25

7. Arrangement price AP = 20.00

Then substract

20 minus 3.25 = 16.75

16.75 x100= $1675

4. 4 packages nettingx 15 = $60 - $15 = $45

5. Now

In 180 feet2 ,there are 60 yards2

then polyester price is 60x5.2= $312

6. She needs 100x6= 600 stems

600/10 = 60 packs

60 packs x 2.50= $150

Then answer is

Carla's money = 1675 - 45 - 312 - 150 = $1168 dollars

4+4x=2x+8+2x-5 help please

Answers

Simplify the expression.

[tex]\begin{gathered} 4+4x=2x+8+2x-5 \\ 4x-2x-2x=8-5-4 \\ 0=-1 \end{gathered}[/tex]

Thus, the equation is solved.

A manufacturing company currently uses 15 workers to load and unload trucks. Each worker can move an average of 15 boxes per minute. A robotics firm has built a robot that can load and unload boxes at the rate of 21 boxes per minute. How many robots will it take to do the same job as the 15 humans?

Answers

Answer:

It will take 11 robots to do the same job as the 15 humans

Explanation:

Given:

Workers in use = 15

Each worker can move an average of 15 boxes per minute.

A robot has been built that can move an average of 21 boxes per minute

15 worker would move:

15 * 15 boxes = 225 boxes per minute.

The number of robots it will take to move 225 boxes is:

225/21 = 10.7

It will take 11 robots to do the same job as the 15 humans

#24Graph the function and tell wether or not it has a point of discontinuity at x = 0. If there is a discontinuity, tell wether it is removable or non removable.

Answers

We have the function:

g(x) = x/(x - 2)

Notice that if x = 2 the denominator equals zero and then we have a vertical asymptote at x = 2. Furthermore, if x = 0, g(0) = 0.

The graph of g(x) is shown below:

As you can notice, there is no a discontinuity at x = 0.

For the equation 5x+36=x, Which value could be a solution

Answers

Solution;

[tex]\begin{gathered} 5x+36=x \\ 5x-x+36=x-x \\ 4x+36=0 \\ \end{gathered}[/tex][tex]\begin{gathered} 4x+36-36=0-36 \\ 4x=-36 \end{gathered}[/tex][tex]x=-\frac{36}{4}=-9[/tex]

x=-9

What is the slope of (-8, -3) and (-7, -6)

Answers

To find the slope, we use the following formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's replace the given points.

[tex]m=\frac{-6-(-3)}{-7-(-8)}=\frac{-6+3}{-7+8}=\frac{-3}{1}=-3[/tex]Hence, the slope is -3.

The population of Canada, as estimated every five years since 1960, is shown in the table. 1. . Calculate the finite differences for the data set.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data set

STEP 2: Find the finite difference

We first find the differences in the output values which is the population as seen below

[tex]\begin{gathered} 19.68-17.91=1.77 \\ 21.32-19.68=1.64 \\ 23.21-21.32=1.89 \\ 24.59-23.21=1.38 \\ 25.94-24.59=1.35 \\ 27.79-25.94=1.85 \\ 29.35-27.79=1.56 \\ 30.77-29.35=1.42 \\ 32.31-30.77=1.54 \\ 34.01-32.31=1.70 \\ 35.75-34.01=1.74 \end{gathered}[/tex]

STEP 3: Find the second order difference

[tex]\begin{gathered} 1.64-1.77=-0.13 \\ 1.89-1.64=0.25 \\ 1.38-1.89=-0.51 \\ 1.35-1.38=-0.03 \\ 1.85-1.38=0.47 \\ 1.56-1.85=-0.29 \\ 1.42-1.56=-0.14 \\ 1.54-1.42=0.12 \\ 1.70-1.54=0.16 \\ 1.74-1.70=0.04 \end{gathered}[/tex]

STEP 4: Find the third order difference

[tex]undefined[/tex]

Bao is mixing flour and water to make dough the graph shows how much water he uses for different amounts of flour .How many liters of water does Bao use per liter or flour?------ liters for this one your answer should be a simplified proper fraction like 3/5.How many liters of flour does Bao use per liter of water?------ liters.

Answers

To know how many liters of water Bao use per liter of flour we have to divide the liters or flour so:

[tex]\frac{1}{3}=0.33[/tex]

So Bao uses 0.33 or 1/3 of water per liter or flour

and to know hoy manu liters of flour Bao use per liter of water we have to made the oposite division so:

[tex]\frac{3}{1}=3[/tex]

She use 3 liters of flour per liter of water

How is the input force different from the output force?
Responses

The input force is all of the energy applied to the situation, and the output force is the result.
The input force is all of the energy applied to the situation, and the output force is the result.

The input force is applied to the problem, and the output force is the movement that results.
The input force is applied to the problem, and the output force is the movement that results.

The output force is applied to the simple machine, and the input force is the force the simple machine applies to an object.
The output force is applied to the simple machine, and the input force is the force the simple machine applies to an object.

The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object.
The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object.

Answers

The input force different from the output force is D. The input force is applied to the simple machine, and the output force is the force the simple machine applies to an object."

What is a simple machine?

A simple machine is a mechanical device that alters the magnitude or direction of a force. In general, they are the most basic systems that exploit mechanical advantage to multiply force.

A simple machine is a mechanical device that adjusts the direction or amplitude of a force. According to Newton's third law, if object A exerts a force on object B, object B will exert a force of same size and opposite direction on object A.

In that situation, the input force is done by object A, and the output force is done by object B as a reaction.

With this in mind, we can see that the proper answer is: "The input force is applied to the simple machine, and the output force is the force applied to an item."

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A line passes through the point −6, 3 and has a slope of 32 .Write an equation in slope-intercept form for this line.

Answers

The equation of the straight line that passes through the point (-6, 3) will be y = 32x + 195.

What is the slope - intercept form of the equation of a straight line?

The slope - intercept form of the equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line that passes through the point (−6, 3) and has a slope of 32.

We know that the slope - intercept form can be written as -

y = mx + c

Now, the slope of the line = [m] = 32

Since, the line passes through the point (-6, 3), we can write -

3 = 32 x -6 + c

3 = -192 + c

c = 3 + 192

c = 195

So, the equation of the straight line that passes through the point (-6, 3) will be -

y = 32x + 195

Therefore, the equation of the straight line that passes through the point (-6, 3) will be y = 32x + 195

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An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus 18 end quantity squared over 289 equals 1 comma where all measurements are in feet. What is the maximum distance between any two persons on the path, and what key feature does this represent?

Answers

In general, the equation of an ellipse centered at (h,k) and axis equal to a and b, and parallel to the y-axis is

[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1,a>b[/tex]

And the maximum distance between two points on the ellipse is equal to the length of the major axis; in our case,

[tex]\begin{gathered} a^2=289,b^2=169 \\ \Rightarrow a=17,b=13 \end{gathered}[/tex]

Therefore, the answer is 17 feet, the major axis.

Consider the following system of equations.ſ x - 4y = -34x - 2y = -12Step 2 of 2: Determine if the point (3, 1) lies on both of the lines in the system of equations by substituting theordered pair into both equations.

Answers

Given:

x - 4y = -3

4x - 2y = -12

To determine if the point (3, 1) lies on both of the lines in the system of equations:

Substitute (3, 1) in the first equation, we get

3 - 4(1) = -3

3 - 4 =-3

-1 = -3

But,

[tex]-1\ne-3[/tex]

Substitute (3, 1) in the second equation, we get

4(3) - 2(1) = -12

12 - 2 = -12

10 = -12

But,

[tex]10\ne-12[/tex]

Hence, the answer is, No.

The point (3, 1) does not lie on both of the lines in the system of equations.

How do I graph a line with a equation in slope intercept form?An example is y=-3x+3, how do I graph this?

Answers

we have

y=-3x+3

to graph a line we need at least two points

so

Find out the intercepts

y-intercept (value of y when the value of x is zero)

For x=0

y=-3(0)+3

y=3

y-intercept is (0,3)

x-intercept (value of x when the value of y is zero)

For y=0

0=-3x+3

3x=3

x=1

x-intercept is (1,0)

therefore

Plot the points (0,3) and (1,0)

and join them to graph the line

see the attached figure to better understand the problem

Solve the given quadratic inequality. Write the answer in interval notation.

Answers

[tex](-\infty,\text{ -0.6458})\cup(4.6458,\text{ }\infty)[/tex]

Explanation:

[tex]\begin{gathered} x^2\text{ - 4x > 3} \\ x^2\text{ - 4x - 3 > 0} \end{gathered}[/tex][tex]\begin{gathered} \text{using almighty formula:} \\ x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x\text{ > }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\text{ (for the inequality)} \\ a\text{ = 1, b = -4, c = -3} \\ x\text{ > }\frac{-(-4)_{}\pm\sqrt[]{(-4)^2-4(1)(-3)}}{2(1)} \\ x\text{ > }\frac{4_{}\pm\sqrt[]{16+12}}{2} \end{gathered}[/tex][tex]\begin{gathered} x\text{ > }\frac{4_{}\pm\sqrt[]{28}}{2}\text{ } \\ x\text{ > }\frac{4_{}\pm\sqrt[]{7\times4}}{2} \\ x\text{ > }\frac{4_{}\pm2\sqrt[]{7}}{2} \\ x\text{ > }\frac{2(2_{}\pm\sqrt[]{7})}{2} \\ x\text{ > }\frac{2_{}\pm\sqrt[]{7}}{2} \\ x\text{ > }2_{}+\sqrt[]{7}\text{ or }x\text{ < }2_{}-\sqrt[]{7} \\ x\text{ > }4.6458\text{ or }x\text{ < }-0.6458\text{ } \\ \end{gathered}[/tex][tex]\begin{gathered} \text{Interval notation:} \\ (-\infty,\text{ -0.6458})\cup(4.6458,\text{ }\infty) \end{gathered}[/tex]

At Joe's Café 1 cup of coffee and 3 doughnuts cost $7.54, and 2 cups of coffee and 2 doughnuts cost $8.32. What is thecost of 1 cup of coffee?

Answers

To answer this question, we can proceed as follows:

1. Let x be the cost of a cup of coffee.

2. Let y be the cost of a doughnut.

Then, we can express the question, algebraically, as follows:

[tex]\begin{cases}x+3y=7.54 \\ 2x+2y=8.32\end{cases}[/tex]

Now, we can solve this linear equation system by

For which value(s) of x will the rational expression below equal zero? Che all that apply. (x - 5)(x+2) x + 1 A.-5 B. 2 c. 1 1 D. -1 E. 5 F. -2

Answers

The rational expression we have is:

[tex]\frac{(x-5)(x+2)}{x+1}[/tex]

For a rational expression to be equal to 0, the numerator of the expression has to be equal to 0.

The numerator is: (x-5)(x+2)

That has to be equal to 0:

[tex](x-5)(x+2)=0[/tex]

Here, we apply the zero product property, which tells us that if a product is equal to 0, one of the two elements, or the two elements, are equal to 0:

[tex]\begin{gathered} x-5=0 \\ x+2=0 \end{gathered}[/tex]

We solve the two equations, and get the two values that will make the rational equation equal to 0:

[tex]\begin{gathered} x=5 \\ x=-2 \end{gathered}[/tex]

Answer:

E. 5

F. -2

What is the value of the trig ratio sin A?

Answers

The sine relation is given by the length of the opposite leg to the angle over the length of the hypotenuse.

So, for the given triangle, we have:

[tex]\begin{gathered} \sin A=\frac{BC}{AC}\\ \\ \sin A=\frac{20}{29} \end{gathered}[/tex]

Therefore the value of sin A is 20/29.

Complete the equation, and tell which property you used.7. (3 X 10) X 8 = X (10 X 8)8. 16 + 31 = 31 +9. 0 +__= 9110. 21 x__= 9 X 21Problem Solving(RealWorld11. The Metro Theater has 20 rows of seats with 18seats in each row. Tickets cost $5. The theater'sincome in dollars if all seats are sold is (20 X 18)X 5. Use properties to find the total income.12. The numbers of students in the foursixth-grade classes at Northside School are 26,19, 34, and 21. Use properties to find the totalnumber of students in the four classes.

Answers

7. (3 X 10) X 8 = 3 X (10 X 8)

In this case, we use the associative property of the multiplication (you can group the factors in any way).

8. 16 + 31 = 31 + 16

Commutative property.

9. 0 + 91 = 91

Identity property

10. 21 x 9 = 9 X 21

Commutative property

11. The income is (20 * 18) * 5.

We can multiply the three numbers together, using the associative property.

20 * 18 * 5 = 1800

12. In this case, we have to add each of the groups:

26 + 19 + 34 + 21 = 100

We don't need to apply any properrty in particular. We can add them in any order taking into account the commutative property.

There is one male snake, and the rest are female. She needs one vitamin pill for every female snake. How many vitamin pills does she need if the number of snakes is: a. 10b. 6C. X

Answers

We are told that there is one male snake, and the rest are female.

She needs one vitamin pill for every female snake.

1. If there are 10 snakes, this means that if one is male, the number of female snakes are:

[tex]10-1=9\text{ females}[/tex]

Sine one vitamin pill is needed for each female snake, she would need 9 vitamin pills.

2. If there are 6 snakes, this means that if one is male, the number of female snakes are:

[tex]6-1=5\text{ females}[/tex]

Sine one vitamin pill is needed for each female snake, she would need 5 vitamin pills.

3. If there are X snakes, this means that if one is male, the number of female snakes are:

[tex]X-1=(X-1)\text{ females}[/tex]

Sine one vitamin pill is needed for each female snake, she would need (X-1) vitamin pills.

when taking a 19 question multiple choice test ,where each question has 3 possible answers ,it would be unusual to get or more questions correct by guessing alone consider "unusual " to be more than two standard deviations away from expected.

Answers

we have that

You have 1 in 3 probability of guessing the correct answer for a single question

you have 19 opportunities to guess

so

19*(1/3)=19/3=18/3+1/3=6 1/3

therefore

would be unusual to get 7 or more questions correct by guessing alone

Exact value of tan 2pi/3

Answers

Given:

[tex]\tan\frac{2\pi}{3}[/tex]

Find-:

Exact value

Explanation -

So, the value is:

[tex]=\tan\frac{2\pi}{3}[/tex][tex]\begin{gathered} =\tan\frac{2\pi}{3} \\ \\ \pi=180\text{ then,} \\ \\ =\tan(\frac{2\times180}{3}) \\ \\ =\tan(120) \end{gathered}[/tex]

So value is:

[tex]\tan(120)=-\sqrt{3}[/tex]

Explain how you found the diagonal length of the package.

Answers

First find diagonal of base D =√( 10^2 + 10^2)= √200

Then find diagonal lenght L = √ (D^2 + 10^2) = √ (200 + 100) =√300

L= √300 = √3•√100 = √3• 10

L= √3•10 = 10•√3 (by conmutative property)

Determine the midpoint between A(2,13) and O (-4,3)

Answers

The midpoint between two points can be found by averaging their coordinates. This is done below:

[tex]\begin{gathered} x_m\text{ = }\frac{x_1+x_2}{2} \\ y_m\text{ = }\frac{y_1+y_2}{2} \end{gathered}[/tex]

Using the above expressions we can apply the coordinates of the points we want to find, A(2,13) and O(-4,3).

[tex]\begin{gathered} x_m\text{ = }\frac{2\text{ -4}}{2} \\ x_m\text{ = }\frac{-2}{2} \\ x_m\text{ = -1} \end{gathered}[/tex][tex]\begin{gathered} y_m\text{ = }\frac{3+13}{2} \\ y_m\text{ = }\frac{16}{2} \\ y_m\text{ = 8} \end{gathered}[/tex]

The coordinates of the midpoint are (-1,8).

A random variable X follows a normal distribution with a mean of 150 and a standard deviation of sigma. If we know that P(120 < X < 180) = 0.95, then, according to the 68-95-99.7 rule, the value of sigma is approximately:


a.
20


b.
15


c.
40


d.
30


e.
60

Answers

The value of sigma according to the 68-95-99.7 rule is 15.

What is the 68-95-99.7 rule?

This is the informal term that is used in statistics to remember the percentage of values that are in the interval of a distribution in statistics.

We have the mean = 150

the interval is given as  P(120 < X < 180)

based on this rule, 95 percent of the data lies in the u - 20 and u + 20 region

Such that we would have

u - 2α < x < u + 2α = 0.95

we have

u - 2α = 120

150 - 2α = 120

2α = 150 - 120

2α = 30

divide through by 2

α = 15

Sigma is given as 15

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For an arc length s, area of sector A, and central angle of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, = 5 pi\6, s=? You are to enter up the necessary Ledgers for the month of June from the following details, and then balance off the accounts and extract a trial balance as at 30th June 2021 Started firm with capital in cash Kshs. 750,000 Bought goods on credit from F. Kamau Kshs.16200, K. Musioka Kshs. 26100, G. Mutiso. Kshs.7500, M. Kim 22800 and F. Njoroge Kshs. 19200 Sold goods on credit to M. Coke Kshs.12000, T. Big Kshs. 18600 and K. Ngai June 1: June 2: June 4: June 6: June 9: June 10: June 12: June 15: June 18: June 21: June 30: Kshs. 52800 Paid rent by cash Kshs. 3600 M. Coke paid us his account by cheque Kshs. 12900 H. Muigai paid us Kshs. 45000 by cheque We paid the following by cheque G. Mutiso Kshs. 7500, F. Kamau Kshs. 6200 Paid carriage by cash Kshs. 6900 Bought goods on credit form K. Musioka Kshs. 129, M. Kim Kshs. 33000 Sold goods on credit to T. Big Kshs. 20100 Paid rent by cheque Kshs. 5400 Your brother is buying textbooks for college. He has to buy 3 math textbooks and 2 science textbooks. The total cost of his textbooks is $487. Write a linear equation to represent the cost of his textbooks. CASSANDRA WENT FOR A JO9.SHE RAN AT A PACE OF 7.3 MILESPER HOUR. IF SHE RAN FOR 0.75HOURS, HOW FAR DID CASSANDRARUN? Erin is keeping a science journal. She wrote the following paragraph that explains how light travels through different mediums. But shes made one mistake. Which sentence in Erins journal is incorrect?A ray of light passes through the air and enters the water inside a metal container. The light ray bends as it crosses the boundary between air and water. Once it hits the bottom of the container, the ray gets reflected. The reflected ray passes back through the water and enters the air without bending. In this example, the ray of light is both reflected and refracted. ou are implementing security at a local high school that is concerned with students accessing inappropriate material on the internet from the library's computers. the students use the computers to search the internet for research paper content. the school budget is limited. which content filtering option would you choose? in linear regression, the fitted value is the: a. predicted value of the dependent variable b. predicted value of the independent value c. predicted value of the slope d. predicted value of the intercept e. none of these options Solve the following/3x=7-3/x Whats the answer plss QUESTION 31 POINTThe area of a triangle is 18. The base is 6 inches. What is the height? Do not include units in your answer. Help me solve question 1 on my algebra homework please Suppose you are choosing at random from the numbers 1 through 12 (inclusive). If the event E is "the number is even," find the set representing E. Express your answer as a bracketed set in the form {a,b,c,d}. help me asp pleaseInstructions: Complete each sentence by filling in the vocabulary word. Include correct spelling, accent marks, and article (el/la). How many modes does the following dataset have? 9,29,13,4,2,16,10,14,27 What does dilation mean, Good evening, I need help on this questions. Thanks :) When a driver uses their vehicle or a weapon to threaten or cause harm to another roadway user they are demonstrating?. garrison company uses the retail method of inventory costing. it started the year with an inventory that had a retail sales value of $38,000. during the year, garrison purchased inventory with a retail sales value of $768,200. after performing a physical inventory, garrison computed the inventory at retail to be $53,600. the markup is 100% of cost. what is the ending inventory at its estimated cost? A sample of gas with a mass of 1.45 g occupies a volume of 931 mL at a pressure of 733 Torr and a temperature of 16.0 C . What is the molar mass of the gas? Debra will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $50 and costs anadditional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional $0.11 per mile driven.for what amount of driving do the two plans cost the same? i need the answer for miles and cost