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
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.
Explain how rays AB and AC form both a line and an angle.
A line with points C, A, B has arrows for endpoints.
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
A line with points C, A, and B with arrows at the endpoints can satisfy the fact that the two rays AB and AC form both a line and an angle.
A line with points C, A, and B have arrows on both endpoints.
We need to explain how the line containing the points C, A, and B has two rays AB and AC and how it can form both a line and an angle.
What are a line, ray, and angle?A line has no endpoints, it extends infinitely in both directions and both end point is denoted by an arrow.
A ray has a fixed point on one side and an arrow on the other side which extends infinitely.
An angle is formed by two rays from one common fixed point.
Let us draw the line with points C, A, and B that have arrows at the endpoints.
C A B
<----------------.-------------------->
We can say that AB is a ray since at point A we have a fixed point and at point B there is an arrow.
And AC is also a ray since at point A there is a fixed point and at point C there is an arrow.
The two rays AB and AC together form a line because on both ends sides there are arrows.
An angle can also be formed since AB and AC are two rays from one common fixed point.
Thus a line with points C, A, and B with arrows at the endpoints can satisfy the idea that the two rays AB and AC form both a line and an angle.
Learn more about line, rays, and angle here:
https://brainly.com/question/12040861
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pizza house offers 2 different salads, 7 different kinds of pizza, and 5 different desserts. how many different three- course meals can be ordered
Answer:
70
Step-by-step explanation: To get the answer to these types of questions, you multiply all three numbers together.
Angle 1 and Angle 2 are complementary. The measure of Angle 1 is 21
more than twice the measure of Angle 2. Find the measure of Angle 1
Since both angles are complementary, then Angle 1 + Angle 2 = 90°
Using algebra,
let Angle 2 be X and Angle 1 be (2X + 21°)
Now we have an equation of,
( 2X + 21 ) + X = 90°
step 1 : open up the brackets first.
step 2 : bring 21° to the other side (rmb to flip the sign)
step 3 : bring the 3 over n it becomes " ÷3 "
( 2X + 21° ) + X = 90°
2X + 21° + X = 90°
3X = 90° - 21°
X = ( 90° - 21° ) ÷ 3
= 23°
Sub X=23° into Angle 1 ( 2X + 21° ),
2(23°) + 21° = 67°
Therefore,
Angle 1 = 67°
i hope my solution helps :))
The sum of −4n and 5n is −82
Hey there! I'm happy to help!
The sum of -4n and 5n.
-4n+5n
is
=
-82
-4n+5n=-82
This simplifies to n=-82.
Have a wonderful day! :D
Which statement is true about the lines?
Answer:
C. the lines are perpendicular
Jorge walks to his friends house he walks 750 m north then realizes he walked too far he turns around and walks 250 m south the entire walk take some 600 seconds what is the speed per second
Answer:
1.67 m/s
Step-by-step explanation:
Speed = Distance/TimeJorge walks in total:
750 m + 250 m = 1000 mI takes him:
600 secondsHis speed is:
1000 m /600 s ≈ 1.67 m/sHan wants to convert his Canadian dollars to euros for his trip to France. He has 252 Canadian dollars. The current exchange rate is 1.28 Canadian dollars per euro. How many euros will he have?
Answer:
196.88 euros
Step-by-step explanation:
Divide 252 by 1.28
252/1.28
= 196.88 euros
Which words or phrases define a ray [Geometry]
It consists of two end points
It goes in one direction and indefinitely
It’s an undefined term
It consist one endpoint
You used to points to name it
It consist of all points in between the two points
Answer:
It goes in one direction and indefinitely.
It consist one endpoint.
Step-by-step explanation:
A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.
25 POINTS!!! Simplify 3x - 4 - 5x = 6 + 4x + 2
los números reales se representan por
Los números reales están representados por números racionales e irracionales.
Un número racional es un número real que se puede formar dividiendo dos números enteros (un número entero es un número sin parte fraccionaria). La palabra viene de "ratio".
Un número irracional es un número real que NO se puede hacer dividiendo dos números enteros (un número entero no tiene parte fraccionaria). "Irracional" significa "sin relación", por lo que no es un número racional.
¡Espero eso ayude!
Find 3/5 x 4/7 in simplest form
Answer:
3/5 * 4/7 = 12/35
you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator
[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]
To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.
First, let us write the given fractions properly
That is,
[tex]\frac{3}{5} \times \frac{4}{7}[/tex]
Now, we will carry out the multiplication operation
[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]
Then, we get
[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]
(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)
Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]
Learn more here: https://brainly.com/question/13124034
Observations that deal with descriptions that cannot be expressed with numbers are called?
Answer:
qualitative oberservations
Step-by-step explanation:
suryana bought 16 watches for rs 16000. At what rate should he sell the watches to gain rs 3200?
Answer:
Step-by-step explanation:
So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)
so the rate per watch should be 19200/16 = 1200
So it should be 1200rs/watch is the rate
Answer:
So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)
so the rate per watch should be 19200/16 = 1200
So it should be 1200rs/watch is the rate
Step-by-step explanation:
How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?
Answer:
5880 joulesStep-by-step explanation:
Given data
mass of rock, m= 200 kg
height/distance = 3 m
Now we know that the expression for work done is
w= force* distance
and also we need to find the force exerted by mass of rock
F= mg
Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)
Force= 200*9.81
Force= 1962 N
Now we can find the work done
work done= 1962*3
work done= 5880 joules
The work done should be 5880 joules
Calculation of the work done:Since there is the mass of the rock is 200 kg
And, the height is 3 m
Now we know that
work done = force (distance)
Also,
F= mg
= 200(9.81)
= 1962 N
Now the work done is
= 1962(3)
= 5880 joules
Hence, The work done should be 5880 joules
Learn more about work here: https://brainly.com/question/24610764
Can someone help me plssss???
Jayden’s snow cone machine makes 3 snow cones from 0.5 pound of ice. How many snow cones can be made with 5 pounds of ice ?
Answer:
30 snow cones.
Step-by-step explanation:
3 snow cones per 0.5 pounds of ice
0.5 pounds of ice x 10 = 5 pounds of ice
3 snow cones X 10 = 30 snow cones.
Answer:
30
Step-by-step explanation:
0.5 pounds of ice = 3 cones.
1 pound = 6 cones.
but we need to find how much 5 pounds will make.
1 pound = 6 cones.
times both sides by 5=
5 pound= 30 cones.
Which graph shows the solution of the system of equations?
(edited) Yo please help its a timed..
Determine whether each function is even, odd, or neither. f(x)= x/ x^2-1
Answer:
it is odd
Step-by-step explanation:
Answer:
Neither I d k just t b h I kinda forgot lol
Step-by-step explanation:
Simplify the expression 7m+7 -5m
- 1/3 + 4/5
Minus not negative sign
Answer:
7/15
Step-by-step explanation:
Given that QS=87, QR= 27, and RS=x-8. Find the value of x.
Answer:
x = 122
Step-by-step explanation:
[tex] \because \: QS + QR = RS \\ \therefore \: 87 + 27 = x - 8 \\ 114 = x - 8 \\ 114 + 8 = x \\ 122 = x[/tex]
What is 45 divided by 8.0
Answer:
answer is 5.625
hope it helps
5.625
40/5=5
5/8=0.625
John has 66 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?
Answer:
Black socks 35
White socks 31
Step-by-step explanation:
PLEASE HELP QUICKLY!!!
Answer:
Option (2)
Step-by-step explanation:
We have to arrange the given numbers in the order from least to greatest.
Numbers are [tex]\sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}[/tex]
1). [tex]\sqrt{64}=8[/tex]
2). [tex]8\frac{1}{7}=\frac{57}{7}=8.143[/tex]
3). 8.1414....
4). [tex]\frac{15}{2}=7.5[/tex]
Therefore, increasing order of the numbers will be,
[tex]8.143>8.1414>8>7.5[/tex]
[tex]8\frac{1}{7}>8.1414...>8>7.5[/tex]
Option (2) will be the correct option.
hellllllllpppppp - Which expression is equivalent to x+x+y+y+3(2+4)?
A . 2x+2y+18
B.18x+18y
C. 4xy+10
D.22xy
Step-by-step explanation:
x + x + y + y + 3(2 + 4)
= 2x + 2y + 3(6)
= 2x + 2y + 18
If x² + 5 = 14, then x2 + 5 – 3 =
A. 11
B. 12
C. 9
D. 17
Answer:
A
Step-by-step explanation:
X2 + 5 = 14 - 3 = 11
5^(-x)+7=2x+4 This was on plato
Answer:
Below
I hope its not too complicated
[tex]x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}[/tex]
[tex]Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}[/tex]
[tex]\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x[/tex]
[tex]\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]
What is the value of y?
Answer:
26
Step-by-step explanation:
We know that the entire angle measures 66 degrees.
Therefore, angle y plus 40 degrees must equal 66.
In an equation:
[tex]y+40=66[/tex]
To solve for y, subtract 40 from both sides:
[tex]y=26\textdegree[/tex]
So, the measure of angle y is 26 degrees.
And we're done!
Answer:
26°
Step-by-step explanation:
The angle with 66° which is shown with a red line is the sum of y and 40° so to find the value of y
we subtract 40 from 66 which gives us result as 26°.
Vincent mows 8 lawns in 2 hours. How many lawns are mowed in 5 hours?
Work Shown:
8 lawns = 2 hours
4 lawns = 1 hour (divide both sides by 2)
20 lawns = 5 hours (multiply both sides by 5)
Answer: 20 Lawns
If he mows 8 lawns in a span of 2 hours that means he mows 4 lawns in 1 hour. 4 * 5 is 20