As the teacher determines the number questions on her upcoming AMDM quiz, she decides that she will give a 20-question quiz. This quiz will have 4 true-false questions and 16 multiple-choice questions. Each multiple-choice question has four possible choices (A, B, C, and D). How many different ways are there to answer the quiz? options:
26
512
64
8

Answers

Answer 1

Answer: 68,719,476,736 different ways to answer the quiz.

Step-by-step explanation:

We have 20 questions.

4 of them, have two options (true and false)

and 16 of them have 4 options (a, b, c and d.)

The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:

Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.


Related Questions

In each problem 7 through 14, verify that each given function is a solution of the differential equation. Y" - y = 0; y1(t) = et, y2(t) = cosh t.

Answers

Answer:

Since L.H.S = R.H.S = 0, for both [tex]y_{1} (t) = e^{t}[/tex] and [tex]y_{2} (t) = cosh(t)[/tex], y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.

Step-by-step explanation:

To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.

So y" - y = 0 and  

[tex]y_{1} (t) = e^{t}\\y_{1}' (t) = e^{t}\\ y_{1}" (t) = e^{t}[/tex]

Substituting these values of y and y" into the left hand side of the equation, we have

y" - y  

[tex]y_{1}" (t) - y_{1} (t) = e^{t} - e^{t} = 0[/tex]

Since L.H.S = R.H.S

So [tex]y_{1} (t) = e^{t}[/tex] is a solution of the differential equation.

When

[tex]y_{2} (t) = cosh(t)\\ y_{2}'(t) = sinh(t) \\y_{2}"(t) = cosh(t)[/tex]

Substituting y and y" into the left hand side of the equation, we have

y" - y

[tex]y_{2}"(t) - y_{2} (t) = cosh(t) - cosh(t) = 0[/tex]

Since L.H.S = R.H.S

So, [tex]y_{2} (t) = cosh(t)[/tex] is a solution of the differential equation.

-2x+11+6x help please ASAP

Answers

-2x + 11 + 6x

put the x’s together
-2x + 6x
= 4x

put them together again
4x + 11

bring 11 on other side with (-)
4x = -11

divide by 4
x = -11/4

answer
x = -11/4 or -2.75
Put the x’s together
-2x + 6x

largest to smallest 4 3/5 -17 3/5 -14 5/5

Answers

Answer:

4 3/5, -14 5/5, -17 3/5

Step-by-step explanation:

Is the sum of two binominals is always a binomial? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

Algebraic Terms:

1. Monomial - an algebraic term

2. Binomial - the sum of 2 algebraic terms

3. Trinomial - an algebraic sum in 3 terms

4. Polynomial - a function in more than 1 algebraic term

The sum of 2 binomials is not always a binomial because each of the two binomials might have different algebraic terms.

If the first binomial has 2 algebraic terms and the second binomial has 2 other algebraic terms and no single term crosses out its coefficients, the sum of both binomials will not be a binomial.

24,200 reduced by 1/5

Answers

Answer:

19,360

Step-by-step explanation:

1/5 is .2, or 20%.  So we multiply the number by .8 to have 80% of the original.

24,200*.8=19360

The sum of 6 consecutive integers is 339.

Answers

Answer:

54, 55, 56, 57, 58, and 59 are the numbers

Step-by-step explanation:

Let's pretend that the first number is [tex]n[/tex].

We know that these numbers are consecutive, meaning each number is one more than the other.

This means that

[tex]n + (n+1)+ (n+2)+ (n+3)+ (n+4)+ (n+5) = 339[/tex], since each number is consecutive.

We can combine like terms to get [tex]6n + 15 = 339[/tex].

Now let's solve for n.

[tex]6n + 15 - 15 = 339-15\\\\6n = 324\\\\n = 54[/tex]

So [tex]n=54[/tex]. This means the other 5 digits will be one more than the next.

So 54, 55, 56, 57, 58, and 59.

Hope this helped!

Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct? 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

Answers

Answer: its A

1. Multiply the divisor by a multiple of 10 to create an integer divisor.

2. Multiply the dividend by the same multiple of 10 as step 1.

3. Divide, and apply the rules for dividing signed numbers.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What is the solution to -6z=72 1) 12 2) 9 3) -9 4) -12

Answers

Step-by-step explanation:

-6z = 72

z = 72/(-6)

= -12

4) -12

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6z = 72}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6z}{ - 6} = \frac{72}{ - 6} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{z = - 12}}[/tex]

Hope I helped!

Best regards! :D

Solve for :
-18.43 = 3.99 + x

Answers

Answer: [tex]x=-22.42[/tex]

Simplify both sides of the equation

[tex]-18.43=x+3.99[/tex]

Flip the equation

[tex]x+3.99=-18.43[/tex]

Subtract 3.99 from both sides

[tex]x+3.99-3.99=-18.43-3.99\\x=-22.42[/tex]

Help I will mark you brainiest Layla buys 4.5 pounds of turkey from the butcher. The turkey costs $2.88 per pound. What is the total price of the turkey?**

Answers

Answer:

$12.96

Step-by-step explanation:

4.5 x 2.88 = $12.96

hope this helped!

Answer:

$12.96

Step-by-step explanation

One pound of turkey is $2.88 but you need 4.5 pounds do

$2.88 x 4.5 and you should get

$12.96

Try to make 0.90 cents using exactly 11 coins. What are the coins?​

Answers

Answer:

3 quartars 2 nickles 4 pennnies 2 half-pennies

Step-by-step explanation:

Test weather 167 is prime

Answers

Answer:

167 is a prime number

Step-by-step explanation:

coz 167 is not divided by any no except 1 or itself

is 0.621621621 rational ?

Answers

Answer:

yes, as long as the numbers do not go on forever.

Step-by-step explanation:

No it’s not rational... repeating decimals are unrational

5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?

Do not include $signs with your response.

Answers

Answer:

16,500

Step-by-step explanation:

5-1 (the bidder) = 4 divided by 66,000 = 16,500

The number of amount that bidder need to put into a kitty for the other bidders to be compensated is 52,800

Important information:

5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000

Calculation of amount:

[tex]= 66,000 - (66,000 \div 5)[/tex]

= 66,000 - 13,200

= 52,800

Learn more about the divide here: https://brainly.com/question/640618

I need help no one helps me never

Answers

Answer:

E

Step-by-step explanation:

they all equal the same thing

hope this helps :)

(a) An angle measures 27°. What is the measure of its complement?
(b) An angle measures 53°. What is the measure of its supplement?
measure of the complement:
X
$
measure of the supplement:
Please help

Answers

Answer:

a) 63°

b) 127°

Step-by-step explanation:

Complements are 90° while supplements are 180°.

So you need to find the complement of 27°. So, 90-27=63

To find the supplement, it is 180-53=127

What value of x is in the solution set of 2x - 3> 11 - 5x?
-3
0
02
4

Answers

the value of x is 2. hope it helps!

The solution set for this inequality is {x | x > 2}

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the inequality:

2x - 3 > 11 - 5x

We can start by simplifying the expression on both sides:

2x - 3 > 11 - 5x

Adding 5x to both sides

7x - 3 > 11

Adding 3 to both sides

7x > 14

Dividing both sides by 7

x > 2

This means that any value of x greater than 2 will make the inequality true.

Thus,

The solution set for this inequality is {x | x > 2}

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Antoni drives a taxi £4 fixed cost+ 60p per mile How much does he charge for 12 miles

Answers

Answer:

£ 11.20

Step-by-step explanation:

Cost of charge per mile = 60 p

Cost of charge for 12 miles = 0.60 * 12

                                             = £7.20

Charge paid by Antoni = 4 + 7.20 = £ 11.20

35-2.4(7-5)
What is the answer to this question

Answers

30.2 is correct according to PEMDAS

What is the value of the expression below when z = 4?
10z - 3

Answers

Answer:

Your correct answer is 37

Step-by-step explanation:

Evaluate for z = 4

(10)(4)−3

(10)(4)−3

= 37

scientific notation for 38,550

Answers

3.855 × 104 google got you

Answer:

3.855x 10^4

Step-by-step explanation:

Hope this helps.

what is the constant of the polynomial 2x3 - 8x2 + 3x - 7

Answers

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

A constant is a number which independent of anything and never changes thus the constant in the given expression 2x³ - 8x² + 3x - 7 is -7.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

2x³ - 8x² + 3x - 7

Here, x is a variable.

The constant multiplied by a variable is said to be the coefficient.

Thus, 2,-8,3 are the coefficient.

A number independent constant is -7 will be constant.

Hence "A constant is a number which is independent of anything and never changes thus the constant in the given expression 2x³ - 8x² + 3x - 7 is -7."

To learn more about expression,

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I need help answering this question 8x + 5y= 40 .

Answers

There are many answers but the one I would say is x=5 and y=0

Answer:

x=5

y=0

There are a lot of different answers to. Do you have answer choices?

What is the value of x in the equation?

Answers

Answer:

[tex]x=56[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\frac{2(x+4)}{3}-8=32[/tex]

First, add 8 to both sides. The left cancels:

[tex]\frac{2(x+4)}{3}=40[/tex]

Multiply both sides by 3. The left cancels:

[tex]2(x+4)=120[/tex]

Divide both sides by 2:

[tex]x+4=60[/tex]

Subtract 4 from both sides:

[tex]x=56[/tex]

And we are done!

Please help, I think I know the answer am I correct? +90 + -77

I got= -13

Answers

the correct answer would be +13 since 90 is positive and the greatest number

Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends’ houses. 5 km 11 km 18 km to 10 min 15 min 20 min. Is the time it takes Timothy to drive to his friends’ houses proportional to the distance

Answers

Answer:

No

Step-by-step explanation:

The time it takes Timothy to drive to his friends' houses is not proportional. This is because when going to the first house, he is going at 4km per minute, but when visiting the second and third houses he is no longer traveling at that speed.

In a directly proportional relationship, increasing one variable will increase another. The given relationship is not proportional.

What is the directly proportional and inversely proportional relationship?

In a directly proportional relationship, increasing one variable will increase another.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

Inversely proportional relationship increasing one variable will decrease the other variable if both are inversely proportional.

This directly proportional relationship between p and q is written as

p∝1/q where that middle sign is the sign of proportionality.

Given that the table shows the distance and time it takes him to drive to each of his friends’ houses.

Now, to know if the time it takes Timothy to drive to his friends’ houses proportional to the distance, find the ratio of distance to time for each row. Therefore, the ratios can be written as,

R₁ = 5km / 10 min = 0.5 km per min

R₂ = 11 km / 15 min = 0.7334 km per min

R₃ = 18 km / 20 min = 0.9 km per min

Since the ratio of distance and time in different cases is different, therefore, the given relationship is not proportional.

Learn more about Directly and Inversely proportional relationships:

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me ayudan por favor es para mañana pero lo necesito ahora me ayudan ​

Answers

Answer:

1) 11/10= 1 1/10

2)17/15= 1 2/15

3)10/10= 1

4)11/10= 1 1/10

5)9/18= 1/2

What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)

Answers

Answer:

The equation is y = (3/7)x - 7.

Step-by-step explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

[tex]y = mx + b[/tex]

[tex]let \: m = \frac{3}{7} ,x = 7,y = - 4[/tex]

[tex] - 4 = \frac{3}{7} (7) + b[/tex]

[tex] - 4 = 3 + b[/tex]

[tex] - 4 - 3 = b[/tex]

[tex]b = - 7[/tex]

Solve the system of equations below.
x - y = 5
2x - 3y = 4
(5,0)
(7,2)
(9,4)
(11,6)

Answers

Answer:

Step-by-step explanation:

-2x + 2y = -10

2x - 3y = 4

-y = -6

y = 6

2x - 18 = 4

2x = 22

x = 11

(11, 6)


3. A drone takes off from the base of a mountain at a height of 27 ft below sea level. The drone
then flies up 642 ft before landing at the top of the mountain. How tall is the mountain?

Answers

Answer:

669ft high

Step-by-step explanation:

642+27=669ft

The height of the mountain is 669 ft.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 4 -2 = 2

A drone takes off from the base of a mountain at a height of 27 ft below sea level.

To determine the height of the mountain.

Using the arithmetic operations of addition and subtraction,

The drone then flies up 642 ft before landing at the top of the mountain.

Assume that distance below sea level is positive,

So the height of the mountain as

⇒ 642 + 27

⇒ 669 ft

Hence, the height of the mountain is 669 ft.

To learn more about Arithmetic operations here:

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