Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer 1

Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!


Related Questions

How many people out of 100,000 will survive until age 90?

Answers

Answer:

21,526 people

Step-by-step explanation:

7/11 of a class walk to school. What fraction of the class did not walk to school

Answers

Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.

Answers

Answer: y=108

Step-by-step explanation:

Answer:

k = 4.5

y = 4.5x

Step-by-step explanation:

Finding the variation constant, k :

k = y/xk = 9/2k = 4.5

Equation of variation :

y = kxy = 4.5x

x-y=5
3x+y=3 can you pleas help me find x and y

Answers

Answer:

x= 2, y= -3

Step-by-step explanation:

Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!

x -y= 5

Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.

x= y +5 -----(1)

3x +y= 3 -----(2)

Substitute (1) into (2):

3(y +5) +y= 3

Expand:

3y +15 +y= 3

4y= 3 -15

4y= -12

y= -12 ÷4

y= -3

Substitute y= -3 into (1):

x= -3 +5

x= 2

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.

Then the radius of the semi-circle will be

2r = 76

 r = 38 m

Then the area of the training field will be

Area = area of rectangle + 2 x area of semi-circle

Area = 97 x 76 + 2 x (1/2) x π x 38²

Area = 7372 + 4536.459

Area = 11908.459 square m

More about the geometry link is given below.

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Find the gradient of the graph shown

Answers

Gradient is a measure of how steep a slope is. Slope is the change in y/ change in x.
Points on graph (0,5) and (-5,0)
X is -5 - 0 = -5
Y is 0 - 5 = -5

Y/x = -5/-5

Slope is 1

A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.

Answers

The height of the shipping box in the shape of a rectangular prism is 15 inches

How to determine the height of the box?

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

Read more about volume at:

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Complete a table for the equation

Answers

Answer:

Nothing provided

Step-by-step explanation:

Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence

Answers

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The midpoint of a segment is the mean of the coordinates of the endpoints, hence:

[tex]3.5 = \frac{x + 8}{2}[/tex]

x + 8 = 7

x = -1.

[tex]-1 = \frac{y + 5}{2}[/tex]

y + 5 = -2.

y = -7.

The coordinates of the other end of the fence are (-1,-7).

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if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?

Answers

There are 104 outcomes

Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104

plis help me!!!!!!!!!!!!!! it is very difficult for me

Answers

Answer:

See below ~

Step-by-step explanation:

Kindly note the 2nd equation in the above question formed will be :

2x + 4y = 20

The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :

x (number of chickens) = 6y (number of sheep) = 2

I have been stuck on this math equation for 15 minutes. Someone please help me!

Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y

Answers

Answer:

(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]

Step-by-step explanation:

How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)

Answers

Answer:

Step-by-step explanation:

Answer: [tex]15x(2x^2+x+3)[/tex]

Step-by-step explanation:

[tex](30x^3 + 15x^2 + 45x)[/tex]

1. factor out 15x

[tex]15x(2x^2+x+3)[/tex]

Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field

Answers

The equation that represents the total area of the blueberry field will be y = 84x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:

Answers

Answer:

we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally

Step-by-step explanation:

cause 20/5 = 4

what least number should 27648 be divided so that the quotient will be a cube number​

Answers

Method A - write in prime factor form
27648 = 2^10 x 3^3 = 2 x 2^9 x 3^3 = 2x (2^3 x 3)^3 = 2 x 24^3
So if 27648 is divided by 2 the quotient is a cube number

Method B - test the list of cubic numbers to find the biggest factor of 27648
The cubic factors are 1, 8, 27, 64, 216, 512, 729, 1728, 4086, 5832, 13824

Method C - divide by factors starting with 1 until quotient is a cube
27648 / 1 = 27648 fail
27648 / 2 = 13824 = 24^3 correct


easy question quickly please!!!

Answers

All are multiples of 4.

Answer:

D

Step-by-step explanation:

4 x 8 = 32

4 x 16 = 64

4 x  32 = 128

4 x 64 = 256

They can be multiplied by something and 4

Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3

Answers

Convert angle to radians

120=2π/3

So

Area

r²Ø/28²(2π/3)(1/2)64π/3cm²

Answer:

[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

[tex]\theta[/tex] = 120°r = 8 cm

Substitute the given values into the formula and solve for Area:

[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]

a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?​

Answers

Step-by-step explanation:

a) 5³= 5*5*5 = 125

5/125*100%

4%

b) 5²=5*5=25

25/125*100%

20%

In Exercises 3–8, use the box-and-whisker plot to find the given measure.

Answers

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .

What is the smallest and largest angle of the garden?

Answers

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

Juan bought 48 ounces of nuts at the store. How much is this in pounds?

Answers

Say you have a 48 ounce cantaloupe it would be equal to 3 pounds

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 84

x = 14

Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls

Answers

Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

inserts a digit to make numbers that are divisable by 24 if its possiable 38_36

Answers

Answer:

168

Step-by-step explanation:

My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?

Answers

1.92-1-5.5 is equal to -4.08 not 18 you don’t add the negatives you still subtract them just as if it was 2-1 it’s the same concept just looks different

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?

Answers

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet

Answers

Answer:

The answer to this is 1,256

NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK

Answers

Answer:

i thing it is 2,if i wrong so sorry

What is the area of the triangle given below?

Answers

Answer:

26

Step-by-step explanation:

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