you are about take an 8 question multiple choice test .each of these questions has 4 answers (A,B,C,D). how many ways can you answer the test if you leave an answer for each question

Answers

Answer 1

[tex] 4^8=65536 [/tex]

Answer 2

4^8 = 65536 answer is correct

Related Questions

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale] What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answers

i think it is 11.5 feet

Answer: 11.5 feet

Step-by-step explanation:

Given: The height of Fatim = 6 feet

At noon, he stands with the sun behind him casting a shadow. Also, Fatima is standing vertical to the ground such that a right triangle is formed.

Let the length of Fahim’s shadow be x.

By Pythagoras theorem , we have

[tex]13^2=x^2+6^2\\\\\Rightarrow169=x^2+36\\\\\Rightarrow\ x^2=169-36\\\\\Rightarrow\ x^2=133\\\\\Rightarrow x=\sqrt{133}=11.5325625947\approx11.5[/tex]

Hence, the length of Fahim’s shadow =11.5 feet

On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grades. How many A's were there if total number of students in the Algebra class is 24?

Answers

x= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)

STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)

CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24

ANSWER: There were 17 students with grade A.

Hope this helps! :)

which of the following expressions is equivalent to the expression below? 4/7*5/9 a.5/9/ 4/7 b.4/7 /5 /9 c.4/9 / 5/7 d.4/7 /

Answers

Final answer:

To simplify the expression 4/7 * 5/9, the equivalent expression is 20/63.

Explanation:

To simplify the expression 4/7 * 5/9, we can multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. So, the expression becomes 20/63. Therefore, none of the options listed are equivalent to 4/7 * 5/9.

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Final answer:

None of the options a, b or c are equivalent to the expression 4/7*5/9. The correct expression must simplify to 20/63.

Explanation:

The question is asking to find out which of the provided expressions is equivalent to the expression 4/7*5/9. The correct option should yield the same result as the original expression when calculated. The expression 4/7*5/9 simplifies to 20/63.

Let's check the provided options:

Option a: 5/9 divided by 4/7 simplifies to 35/36, which is not equal to 20/63.Option b: 4/7 divided by 5/9 simplifies to 36/35, which is also not equal to 20/63. Option c: 4/9 divided by 5/7 simplifies to 28/45, which is not equal to 20/63.

The provided information about relative frequencies is irrelevant for this question.

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what is the equation of this circle in general form

Answers

Based on the graph, we know that the center of the circle is at (3,0) and its radius is 5. We can plug this into the standard form of the equation:

(x-3)²+y²=25

We can expand this to put it into general form:

x²-6x+9+y²=25
x²+y²-6x-16=0

two joggers run 8 miles north and then 5 miles west. what is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point? round to the nearest tenths place

Answers

a² + b² = c²

c² = 8² + 5²

c² = 89

c = √89

c = 9.4 miles

Answer: 9.4 miles

The shortest distance they travel to return to starting point is 9.43 miles.

Since, two joggers run 8 miles north and then 5 miles west.

According to question , a right triangle is formed. and hypotenuse of right triangle represent the shortest distance between starting point to final point.

Apply Pythagoras theorem,

Shortest distance, [tex]=\sqrt{8^{2}+5^{2} } =\sqrt{64+25}=\sqrt{89}=9.43miles[/tex]

Thus, They travel 9.43 miles to return to their starting point.

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Kenny wrote the equation for a linear relationship shown below
Y=-3x+4
If x equals 7 what is the value of y

Answers

y would equal -17! Good luck!

Y is equal to -17. This is the answer becuase -3 times 7 is -21 and -21 plus 4 is equal to -17.

27 PTS + BRAINLIEST. I need all of these questions answered. I will award brainliest to the fastest and most correct answer. I will report unrelated answers.

ex: 2a. -4x

Answers

2 Simpify:
a -4 X x = -4x
b -10 X y = -10y
c -1 X a = -a
d b X (-1) = -b
e -4 X 2m = -8m
f 6 X -3a = -18a
g -8 X -3a = 24a
h -6m X 4 = -24m
i -7 X 8n = -56n
j -a X -3 = 3a
k 6x / -2 = -3x
l -10m / -5 = 2m
m -24a / 8 = -3a
n 2(m+3)-8=2(m)+2(3)-8=2m+6-8=2m-2
o 5(m-1)+9=5(m)+5(-1)+9=5m-5+9=5m+4
p 3(a-5)+10=3(a)+3(-5)+10=3a-15+10=3a-5
q 4(2x+1)-8x=4(2x)+4(1)-8x=8x+4-8x=4
r 3(10-2x)+3x=3(10)+3(-2x)+3x=30-6x+3x=30-3x
s 4(3-x)+9x=4(3)+4(-x)+9x=12-4x+9x=12+5x

3 Simplify by collecting like terms:
a 7a-5b+2a-6b=(7+2)a+(-5-6)b=(9)a+(-11)b=9a-11b
b 11x-2y-5x+7y=(11-5)x+(-2+7)y=(6)x+(5)y=6x+5y
c 3m+2g-5g-4m=(3-4)m+(2-5)g=(-1)m+(-3)g=-m-3g
d 6a-7-9a+10=(6-9)a+(-7+10)=(-3)a+(3)=-3a+3
e 7p-2q-6p+3q=(7-6)p+(-2+3)q=(1)p+(1)q=p+q
f 3x+7-12-5x=(3-5)x+(7-12)=(-2)x+(-5)=-2x-5
g 2ab+3bc-5ab+bc=(2-5)ab+(3+1)bc=(-3)ab+(4)bc=-3ab+4bc
h 6t^2+3t-5t^2-8t=(6-5)t^2+(3-8)t=(1)t^2+(-5)t=t^2-5t
i 9y-6z-9y+5z=(9-9)y+(-6+5)z=(0)y+(-1)z=0-z=-z
j 2k-3k^2-4k+k^2=(2-4)k+(-3+1)k^2=(-2)k+(-2)k^2=-2k-2k^2
k 10t+5w+t-7w=(10+1)t+(5-7)w=(11)t+(-2)w=11t-2w
l 7a-3b-8a-5b=(7-8)a+(-3-5)b=(-1)a+(-8)b=-a-8b

Is 3.2 meters equal to 320 millimeters?

Answers

1 meter = 100 centimetres
3.2 meter = 3.2 x 100 = 320 centimetres

1 centimetre = 10 millimetres
320 cm = 320 × 10 = 3200 millimetres

Answer : 3200 millimeters

Hello.

1 meter = 1000 millimeters.

3.2 * 1000 = 3200 millimeters

So no, 3.2 meters is not equal to 320 millimeters.

Have a nice day

This morning, a convenience store had 21 granola bars in stock. The store sold 6 granola bars throughout the day. If the store will receive a shipment of 42 granola bars tomorrow, how many granola bars will it have in stock?

Answers

Had 21 bars. Sold 6.
Left (21-6)
Will receive 42 granola bars (21-6+42)
21-6+42=57 granola bars
57 granola bars, a store will have in stock.

After selling 6 out of 21 granola bars, the store has 15 left. Following a shipment of 42 granola bars, the store will have a total of 57 granola bars in stock.

To find out how many granola bars the store will have in stock after the shipment, we should first calculate how many granola bars are left after the sales by subtracting the number sold from the initial stock. They started with 21 granola bars and sold 6, so they have 21 - 6 = 15 granola bars left. Then, we add the number of granola bars in the shipment arriving tomorrow to the number they currently have in stock. They will receive 42 granola bars in the shipment, so the total will be 15 + 42 = 57 granola bars in stock after the shipment arrives.

There are 3 black marbles and 4 red marbles in a bag.
What is the probability of picking a black marble, replacing it back in the bag, and then choosing another black marble?

1) 3/8

2) 9/49

3) 5/13

4) 1/7

Answers

3 + 4 = 7 all marables in bag
The probability that the first marable is black
[tex]P(A_1)=\dfrac{3}{7}[/tex]
The probability that the second marable is black
[tex]P(A_2)=\dfrac{3}{7}[/tex]
Together:
[tex]P(A)=P(A_1)\cdot P(A_2)=\dfrac{3}{7}\cdot\dfrac{3}{7}=\dfrac{9}{49}\to 2)[/tex]

A car listens plate is made up of 7letters or numbers, where the numbers are whole numbers 0-9.

Suppose the license plate is randomly generated, one character at a time.

What is the probability the first character is a number?

Enter you sender as a decimal rounded to the nearest hundredth

Answers

there is 26 letters and 10 numbers, so a possibility of 36 different characters for each one

so probability of the first character being a number would be 10/36 as a fraction and 0.2777 ( the seven keeps repeating) as a decimal

rounded to nearest hundredth would be 0.28

how many vertices does a sphere have?

Answers

Hello, a sphere has zero vertices.

Final answer:

A sphere has no vertices as it is a three-dimensional shape with a continuous curved surface, unlike a cube which has distinct edges and flat faces.

Explanation:

The question "how many vertices does a sphere have?" can be answered quite simply. A sphere is a perfect three-dimensional shape where every point on the surface is equidistant from the center. Unlike a cube, which has flat faces and edges, a sphere has a continuous curved surface. Consequently, a sphere does not have any vertices, edges, or faces. Vertices are points where edges intersect, and since a sphere has no edges or flat faces, it cannot have vertices.

Nancy rowed across the lake with her friend Kelly at a rate of 5 mph. Kelly then rowed back at a rate of 4 mph. If the lake is 6 miles across, how long did it take them to complete their trip?

Answers

it would be 1.2 hours or 72 minutes to go forward 5 mph
and it would 1.5 hours or 90 minutes to go backward 4 mph
so it would take 2.7 hours
hope this helps :)

A translation is a transformation in which every point of the preimage is moved the same distance in the same direction.

Answers

A translation in math when a figure is slid across a graph and every point is moved the same distance and direction as each other. This transformation allows for the shape to stay the same,, but change coordinates on the graph. This means that the correct answer to your question is true.
Let me know if you have any further questions.
:)

What is the depth and volume of this rectangular prism in cubes and cubic inches?

Answers

Height = 3 cubes
Width = 5 cubes
Depth = 4 cubes

Number of Cubes = 3*4*5 = 60

Each cube is .2 inches on each side

So, it's volume = 1 * .6 * .8 = .48 cubic inches

Double - Check
Each cube is .2*.2*.2 = 0.008 cubic inches
There are 60 cubes so the volume =
60 * .008 = .48 cubic inches CORRECT !!

The table shows the data of a random sample of fish that were collected from and later released into a lake.

Type of Fish Bass Eel Gar
Number of Fish 92 56 52

How many bass are estimated to be present if a sample of 1,000 fish is collected from the lake?
1: 184
2: 292
3: 420
4: 460

Answers

total fish listed in the table:
92 + 56 + 52 = 200

92 were Bass, so 92/200 = 0.46 = 46% of the sample were bass

based on that 46% of 1000 fish would be bass

1000 * 0.46 = 460

the answer would be 4. 460

when divided by 3, i am 700. when divided by 7, i am 300. what number am i?

Answers

⓵ Write down both equations :

X ÷ 3 = 700

X ÷ 7 = 300

⓶ Solve both of these equations :

X ÷ 3 = 700
× 3 × 3

↓

X = 2100

X ÷ 7 = 300
× 7 × 7

↓

X = 2100

Now that you’ve solved each equation and that “X” is worth the same thing in both, you know that you calculated everything correctly!

If you really want to triple check your answers, you could test that number to see if it works :

2100 ÷ 3 = 700? → YES

2100 ÷ 7 = 300? → YES

↠ So the answer to your question is : The number is 2100.

I really hope this helped, if there’s anything just let me know! ☻

The unknown number is equal to 2100.

How to determine the equation representing the situation?

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

"when divided by 3, I am 700."

n/3 = 700 ...equation 1.

n = 700(3)

n = 2100.

"when divided by 7, I am 300."

n/7 = 300 ....equation 2.

n = 300(7)

n = 2100.

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Is (5,6.5) a solution to y= -1/2x + 9?

Show your work please!!

Will give brainliest!!

Please Help!!

Answers

6.5 = - 1/2(5) + 9

6.5 = - 2.5 + 9 which is the same as 6.5 = 9 - 2.5

6.5 = 6.5

So yes, this ordered pair IS a solution.

Is (4,-2) a solution to the equation 5x - y = 18?

Show your work please!

Will give brainliest!!

Please Help!

Answers

The answer is yes! It is! For future reference use Desmos.com!
This is a graphing website that can really help. ;)
This is the graph that I used. As you can see the line runs through (4,2)

5(4) - (- 2) = 18
20 + 2 = 18
22 ≠ 18

It is not a solution.

Nick flew 1,560 miles in 3 hours on his airline flight. How far did nick fly in 1 hour ?

Answers

1560 / 3 = 520

He flew 520 miles in one hour.

If you divide 1,560 by 3 hours you would get 520mph

So, your answer would be 520mph

Hope this helps :D

A pop star is coming for a live concert in your area. The ticket proceeds will benefit a nonprofit organization helping underprivileged children interested in music education. They would like to raise $1,500. Stage-level seats are on sale for \$10 each and balcony-level seats are on sale for \$5 each. How many of each seat type would need to be sold to reach the goal of \$1,500?
Please really need help :(

Answers

just divide 1500 by 10 for the stage level seats and then divide 1500 by 5 for the balcony seats.

Jack rented a boat for one day.it cost 15.50 plus 0.35 per hour.if jack paid 16.90 in total for the boat rental.for how many hours did he use the boat?

Answers

The equation would be .35x +15.50!
You can subtract 15.50 from 16.90 to get 1.40. Then divide 1.40 by .35! You would get 4! Good luck!

Hi,
15.50+0.35=15.85
no. of hrs=amount he paid/cost
no. of hrs=16.90/15.85
no. of hours=1.04(actually it is a recurring decimal(or in a mixed fraction it is 1 27/317)
Hope this helps you.

Nora started a business making bracelets. She spent $75.00 on advertising and $35.00 on supplies. She sells each bracelet for $1.50. What is the least number of bracelets Nora needs to sell to make money than she spent? Show your work.

Answers

$75 ads + $35 supplies = $110.

110 / 1.50 = 74.

Why did I divide? we take the money she spent and divide by the cost of a bracelet to figure out how many she needs to sell to get $110.

74 bracelets need to be sold.

McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?

Answers

$1499 since you multiply 100 by 15 and 100 by 29.99 to get 2999 and 1500. Subtract them together to get 1499. (2999-1500)

Well the person who bought all 100 shovels got a discount because 15 times 100 is 1500 and then you subtract 29.99. which is 1470.01

you need 2/3 cup of flour to make 1 loaf of bread. how much flour to make 3 loaves of bread?

Answers

Hi there!

To make 3 loaves of bread you will need ~ 2 cups of flour

Hope this helps!

Hello there!

2/3 cup of flour = 1 loaf
x cup of flour = 3 loaves

Cross multiply

1 * x = 2/3 * 3

x = 6/3

x = 2

Thus,

We need 2 cup of flour to make 3 loaves of bread.

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

Events A and B are mutually exclusive. Also, P(A) = 0.12 and P(B) = 0.25.
What is P(A or B)?
A. 0.13 B. 0.03 C. 0.25 D. 0.37

Answers

Given=> P(A) = 0.12
P(B) = 0.25

So,
P(A or B) = P(A) + P(B)

= 0.12 + 0.25

= 0.37

Ans:- Option D. 0.37

Hope this helps!

Suppose your friends parents invest $15,000 in an account paying 4% annually. What will the balance be after 9 years?

Answers

Here's the equation for one year:
0.04(15000) + 15000
Because it is 9 years:
0.36(15000) + 15000
We can make it simpler:
1.36(15000)
Multiply:
20400
Their balance is $20400

1. One box of cereal is 16 ounces and costs $3. A smaller box of The same cereal is 11.5 ounces and costs $2. Which box of cereal is the better but? Explain.
2. I'm an N-guage model train set, a tank car is 3.75 inches long. The actual tank car is 50 feet long. What is the ratio of the length of the actual tank car to the length of the model tank car?
3. 9 km/1 hour = ?m/ 1 second

Answers

1. The 1.5 oz box for $2 is best because if you make $3 into $6 then the box is 32 oz. And if you change $2 to $6, the box is 34..5 oz which is better because its bigger.

1. it would be smarter to but the 16 oz bag because your getting more out of your money with the 11 oz bag you would be paying 5.75 per oz but with the 16 oz bag you are paying 5.30 per oz so it is a better choice to choose the 16 oz bag

A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do 4 jars contain

Answers

There are 8 fluid ounces in a cup.

First multiply 26 x 4 = 104
There are 104 fluid ounces in 4 jars of spaghetti sauce.

Now divide 104 by 8.
104/8 = 13

4 jars of spaghetti sauce contain 13 cups of spaghetti sauce.

I NEED HELP ASAP
Use Euler’s Formula to find the missing number ?
Faces:21
Vertices:14
Edges:?
A.34 B.32 C.33 D.36

Answers

Euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges.
Clearing A we have:
A = C + V-2
Substituting values:
A = 21 + 14-2
A = 33
Answer:
the missing number is:
C.33

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According to Pap, what is the main idea of this reading passage? When he (Pap) got out the new judge said he was a-going to make a man of him. So he took him to his own house, and dressed him up clean and nice, and had him to breakfast and dinner and supper with the family, and was just old pie to him, so to speak. And after supper he talked to him about temperance and such things till the old man cried, and said he'd been a fool, and fooled away his life; but now he was a-going to be a man nobody wouldn't be ashamed of, and he hoped the judge would help him and not look down on him. The judge said he could hug him for them words; so he cried, and his wife she cried again; Pap said he'd been a man that had always been misunderstood before, and the judge said he believed it. The old man said that what a man wanted that was down was sympathy, and the judge said it was so; so they cried again. What is the domain of the step function f(x) = 2x 1? Determine the number of unpaired electrons in the octahedral coordination complex [fex6]3, where x = any halide. Casey said 40 people were surveyed. I his answer reasonable? Write a thesis statement with an academic tone for the following central idea and evidence-based claims. Central idea: Teenage gang activity is becoming a problem in middle schools. Evidence-based claims: Middle-school children are easily influenced, gangs give children a sense of belonging, and gangs have colors associated with them which is attractive to middle-school kids A 4x4 matrix a with real entries and a4 = i, what are the possible characteristic polynomials of a Jeana is happy with her pay, has great benefits, nice co-workers and a pleasant work environment. she spends the day just filing folders all day. what work-stress related variable might explain the fact that she feels a significant amount of work stress and does not find herself happy about her job? The cost function for Michelle's new clothing store where she sells T-shirts is C = $10.25n + 1125. What is the slope of the cost function for Michelle's new store? A.$1125.00 - Help please Which strategies have the potential to prevent the spread of disease? Select the three correct answers. A.Earlier intervention B.Closing water purification plants C.The development of new vaccines D.Education through social media Glutamate opens sodium gates, enabling sodium ions to enter the postsynaptic cell. what type of effect is this? Which of these is the best example of dtente?a.the cuban missile crisisb.the gulf of tonkin incidentc.the construction of the berlin walld.treaties reducing the number of nuclear weapons in the us and ussr? Cynthia glued a trapezoid with bases of 9 centimeters and 7 centimeters and a height of 6 centimeters onto a rectangular piece of construction paper that measures 20 centimeters by 24 centimeters. How much of the construction paper is not covered by the trapezoid? What is the area of a regular octagon with an apothem 16 inches long and a side 19 inches long? round the answer to the nearest inch? For the data set below, compute the standard deviation. Round to the nearest hundredth. 2, 3, 5, 8 2.03 2.20 2.6 4.5 Why is thinking economically an important skills What is the area of this triangle? Enter your answer as a decimal. Round only your final answer to the nearest hundredth. The maximum gauge pressure in a hydraulic lift is 18.0 atm what is the largest size vehicle In 1918, the temperature in Alaska dropped from 52 degrees to -23 degrees in 15 hours. What was the average hourly change in temperature? Which action is an example of an implied power of Congress? passing a tax law establishing the Bank of the United States fixing the standards of weights and measures establishing post offices declaring war