register 4 courses in Fall semester. Now 6 courses are available
to him, and there is no time conflict between any two classes. How
many different choices are there for Bob?
Answers
According to the information, there are 15 different choices for Bob to register 4 courses out of the 6 available courses without any time conflicts.
How many different choices are there for Bob?To determine the number of different choices, we have to use the concept of combinations. The number of combinations of selecting r items from a set of n items is calculated using the following formula:
nCr = n! / [(n - r)! * r!].In this case, Bob needs to register 4 courses from the 6 available courses. So, the calculation is as follows:
6C4 = 6! / [(6 - 4)! * 4!] = 6! / [2! * 4!] = (6 * 5) / (2 * 1) = 15According to the above we can infer that there are 15 different choices for Bob to register 4 courses out of the 6 available courses without any time conflicts.
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Related Questions
Not a timed or graded assignment. Please use factor tree. Quick answer = amazing review :)
Answers
72 can be written as 8 x 9
72 = 8 x 9 = 2^2 x 2 x 3^2
Thus, the expression can be rewritten as
\(\begin{gathered} 3\sqrt[]{72}\text{ = 3}\sqrt[]{2^2\times2\times3^2}\text{ = 3 }\times3\times2\sqrt[]{2} \\ =\text{ }3\text{ }\times6\sqrt[]{2} \end{gathered}\)The factor tree is shown below
Given the triangle ABC, if angle A is 9 º, side a is 44 m, and side b is 46 m, find angle C. Please round to one decimal
Answers
The angle of C is 161.4°.
Law of Sine:Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
We have :
In the Triangle ABC,
Angle A is 9 º
Side of a is 44 m,
and side of b is 46 m
To find the angle of C
Now, use the law of sines to find angle B:
b/sin B = a/sin A
Plug all the values in above formula :
=> 46/Sin B = 44/Sin 9°
=> 46 × Sin9°/ 44 = Sin B
Sin B = 0.164
\(B = Sin^-^10.164\)
B = 9.555
Now, By angle sum of property of a triangle,
The sum of three angles of a triangle is 180°
So, Let's apply angle sum property to find angle C
=> ∠ A + ∠ B + ∠C = 180°
Put the value of B = 9.555 and angle A = 9°
=> 9° + 9.555 + ∠C = 180°
18.555 +∠C = 180°
∠C = 180°- 18.555
∠C = 161.4°
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Karen earn a commission of $140.00 per course that you sell on the internet. She
sold 112 courses.
What is her commission?
Answers
Answer:
$ 15680
Step-by-step explanation:
From the question given above, we were told that Karen earn a commission of $ 140 per course.
To know her commission for selling 112 courses, we simply do the following:
Karen earn a commission of $ 140 for 1 course.
Therefore, she will ear $ X for 112 courses i.e
$ X = $ 140 × 112 course/ 1 course
$ X = $ 15680
Therefore, Karen commission for selling 112 courses is $ 15680
divide rs 50000 bettween two charties in the ratio of 1/10: 1/15
TELL PLEASE
Answers
Answer:
sorry
Step-by-step explanation:
i dont know
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Answer:
30000 : 20000
Step-by-step explanation:
Given the ratio
\(\frac{1}{10}\) : \(\frac{1}{15}\) ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )
= 3 : 2
sum the parts of the ratio, 3 + 2 = 5 parts
Divide the amount by 5 to find the value of 1 part of the ratio
50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then
3 parts = 3 × 10000 = 30000
2 parts = 2 × 10000 = 20000
Then
50000 = 30000 : 20000 in the ratio 3 : 2
a 10-kg suitcase is placed on a scale that is in an elevator. in which direction is the elevator accelerating when the scale reads 75 n and when it reads 120 n?
Answers
Answer:
Downward when it reads 75 N and upward when it reads 120 N
Step-by-step explanation:
In an experiment, the probability that even A occurs is 0.2 and the probability that event B occurs is 0.5. If A and B are independent events, which statement is true?
A.
P(A and B) = 0.1
Answers
Answer:
oop
Step-by-step explanation:
The probability of event A and event B will be 0.10. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
In an experiment, the probability that event A occurs is 0.2 and the probability that event B occurs is 0.5.
If A and B are independent events. Then the probability is given as,
P(A and B) = P(A) x P(B)
P(A and B) = 0.2 x 0.5
P(A and B) = 0.10
The probability of event A and event B will be 0.10. Then the correct option is A.
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The missing options are given below.
A. P(A and B) = 0.1
B. P(A or B) = 0.1
C. P(A and B) = 0.7
D. P(A or B) = 0.7
Consider this expression. 7m^2 (2m -1 )(m 9) what expression is equivalent to the given expression?
Answers
The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression 7m² * (2m -1 )*(m9).
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±ac Comutative: a . b = b. a Associative: a(b+c)= c(a+b) Identity: b.1=bPower RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.
First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.
After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,
(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).
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what is the average rate of change between:
X = 1 and X=2?
X=2 and X=3?
X=3 and X=4?
Answers
the average rate of change between x = 1 and x = 2, x = 2 and x = 3, and x = 3 and x = 4 is -10 for each interval.
Calculate the average rate of change between two points, we use the formula:
Average Rate of Change = (change in y) / (change in x)
Let's calculate the average rate of change between the given x-values:
A. Between x = 1 and x = 2:
Change in x = 2 - 1 = 1
Change in y = f(2) - f(1), where f(x) = -10x + 2
f(2) = -10(2) + 2 = -20 + 2 = -18
f(1) = -10(1) + 2 = -10 + 2 = -8
Change in y = -18 - (-8) = -18 + 8 = -10
Average Rate of Change = (-10) / (1) = -10
B. Between x = 2 and x = 3:
Change in x = 3 - 2 = 1
Change in y = f(3) - f(2)
f(3) = -10(3) + 2 = -30 + 2 = -28
f(2) = -10(2) + 2 = -20 + 2 = -18
Change in y = -28 - (-18) = -28 + 18 = -10
Average Rate of Change = (-10) / (1) = -10
4. Between x = 3 and x = 4:
Change in x = 4 - 3 = 1
Change in y = f(4) - f(3)
f(4) = -10(4) + 2 = -40 + 2 = -38
f(3) = -10(3) + 2 = -30 + 2 = -28
Change in y = -38 - (-28) = -38 + 28 = -10
Average Rate of Change = (-10) / (1) = -10
Therefore, the average rate of change between x = 1 and x = 2, x = 2 and x = 3, and x = 3 and x = 4 is -10 for each interval.
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9/4x -1/2y = -3
Find x and y intercepts
Answers
Answer:
x-int: (-12/9, 0)
y-int: (0, 6)
Step-by-step explanation:
x-int ==> on x-axis when y=0
y-int ==> on y-axis when x=0
9/4x -1/2y = -3
x-int: 9/4x -1/2(0) = -3
9/4x = -3
9x/4 = -3
9x*4/4=-3*4
9x=-12
x=-12/9 ==> x-int: (-12/9, 0)
y-int: 9/4(0) -1/2y = -3
-1/2y = -3
1/2y=3
y/2=3
y=6 ==> y-int: (0, 6)
Please help! Easy question, answer pls, 15 pts.
Answers
Answer:
360 in
Step-by-step explanation:
To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:
\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)
So, the dressmaker has 360 in of ribbon.
Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answers
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answers
Answer:
1,600
Step-by-step explanation:
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
Which expressions are equivalent to the one below? Check all that apply. log 2 - log 8 A. log(;) DB. log 4 B. D C. log(2) + -log(3) 8 D D. log 2
Answers
An animal adoption agency tracked the number of animals remaining to be adopted, as shown in the graph.
1. Explain why the relationship represented by the graph is a function.
2. If another animal adoption agency tracked the number of animals they have remaining to be adopted on this same graph, would the graph still represent a function? Explain.
Answers
Answer:
☠️☠️☠️☠️☠️☠️☠️☠️☠️☠️☠️☠️
Answer:
1. Explain why the relationship represented by the graph is a function.
yes because every input had one output
Step-by-step explanation:
2. If another animal adoption agency tracked the number of animals they have remaining to be adopted on this same graph, would the graph still represent a function? Explain.
no because then atleast an input have more then one output.
The Elkins family found an extra 560 to buy tickets to the football game this wecked the following users of the3StudentlicheWhat is the meaning of the yintercept?The y-intercept shows the number of tickets sold when the number oftickets is 0What is the meaning of the x-intercept?The x-intercept shows the number of tickets sold when the number of tickets is 0From the graph, we know the price of each adult ticket isand the price of each student ticket is 5MPauseNextPreviousSearch for anythingO20POURSbreakSesalathomepoup9backspace23232ETITITOWE TRUDOLPITI25:7me
Answers
we have that
x -----> represent student's tickets
y -----> adult tickets
Remember that the y-intercept is the value of y when the value of x is equal to zero
so
In this problem
the y-intercept is the number of adult's tickets when the number of student tickets is zero
and
The x-intercept is the value of x when the value of y is equal to zero
so
in this problem
the x-intercept is the number of students tickets when the number of adult tickets is zero
Looking at the graph the y-intercept is the point (0,6)
the x-intercept is the point (12,0)
step 2
Find the price of each ticket
with the y-intercept (0,6)
we have that
$60=6y
y=$10
with the x-intercept
we have
$60=12x
x=$5
therefore
the price of each adult ticket is $10 and the price of each student ticket is $5Part 2
we have the system of equations
5x+6y=-8
2x+3y=-5
solve the system of equations by graphing
Remember that when solving by graphing, the solution is the intersection point both lines
so
using a graphing tool
see the attached figure
please wait a minute
therefore
the ordered pair (8,-8) is a solution of equation 1 (because lie on the line 1)
the ordered pair (2,-3) is a solution of equation 1, equation 2 and system of equations (because lie in both lines)
the ordered pair (-4,1) is a solution of equation 2 (because lie on the line 2)
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5, 4, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 5, 2.5, 0.5, 4, 4.5, 2, 4 which dotplot displays the data correctly? a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0.5 to 5 in increments of 0.5. 0.5, 4; 1, 1; 1.5, 2; 2, 2; 2.5, 3; 3, 2; 3.5, 0; 4, 3; 4.5, 2; 5, 1. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 3.5. 0, 4; 2.5, 3; 4, 3; 1.5, 2; 2, 2; 3, 2; 4.3, 2; 1, 2; 5, 1; 3.5, 0. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 5. 0, 4; 1, 1; 1.5, 2; 2, 2; 2.5; 3, 3, 2; 4, 3; 4.5, 2; 5, 1.
Answers
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.
The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.
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Can someone plz help me with this?
Answers
Answer:
D
Step-by-step explanation:
because the odds have to be even if the possobility number is even
Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24
Answers
Answer:
Kim and Zara are correct.
Step-by-step explanation:
Correct simplification:
-3(x+4) - 2(5x-6)
-3x + (-12) - 10x + 12
-3x - 12 - 10x + 12
- 13x
Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.Enlarge shape A by scale factor 1/3 with centre of enlargement (-6, -6).
Answers
Answer:
use formula
(x,y) enlargement scale factor [(a,b)k] (kx-ka+a,ky-kb+b)
(-9,9). [(-6,-6)1/3]. (-3+2-6,3+2-6). (-7,-1)
(-9,6). (-3+2-6,2+2-6)=(-7,-2)
(-3,6). (-1+2-6,2+2-6)=(-5,-2) plot yourself.sorry.
Select the correct answer.Consider the piecewise function shown on the graph.A10-8642-10-8-6-44-2 02-26810-4-6-8-10Over which interval of the domain does the graph represent an exponential function?A.-3
Answers
Solution
The exponential function
\(x\ge1\)
The final answer
Option B
Find the measure of the side indicated. Round to the nearest tenth.
Answers
Answer:
6.1
Step-by-step explanation:
Use sine. Remember sine is opposite leg over hypotenuse.
Sin 29.5=3/x --> Switch the x and sin 29.5
x=3/Sin 29.5
x=6.1
i need the answer to this problem
Answers
Answer:
c/4 is 7 and c is 28
Step-by-step explanation:
Answer: Answer in steps
Step-by-step explanation:
\(\frac{c}{4} -12 = -5\) Add 12 to both sides
\(\frac{c}{4} = 7\) Now multiply both sides by 4
c= 28
Select the graph of y = 2 cos (4x) +1.TTEN-1O-2++++++++++بنof
Answers
Substitute 0 for x in the function y = 2 cos (4x) + 1 to determine the point at which function intersect the y-axis.
\(\begin{gathered} y=2\cos (4\cdot0)+1 \\ =2\cdot1+1 \\ =3 \end{gathered}\)So curve function intersect the y-axis at (0,3).
Substitute 0 for y in the equation to determine the point at which function intersect the x-axis.
\(\begin{gathered} 0=2\cos (4x)+1 \\ \cos (4x)=-\frac{1}{2} \\ 4x=\frac{2\pi}{3},\frac{4\pi}{3} \\ x=\frac{\pi}{6},\frac{\pi}{3} \end{gathered}\)So points at which function intersect the x axis is,
\((\frac{\pi}{6},0)\text{ and (}\frac{\pi}{3},0)\)So option D represents the correct graph, in which graph intersect the y axis at (3,0) and x axis at points (pi/6,0) and (pi/3,0). The graph intersect x axis at more than two points.
Answer: Option D
What is the slope of the line that contains the points (-2,7) and (2, 3)? A. -1 B. -4 c. 1 D. 4
Answers
Need help checking if they are right
Answers
Answer:
Step-by-step explanation:
so I see at the top , it's saying the triangles are "similar" this is a very important part. meaning that the triangles are copies of each other just bigger or smaller but other wise the same.
QR is 25 check
HG is 30 check
X1 = 48 check
X2 = 14 check
x3 = 6 check
The local swimming pool is offering two programs. no membership fee and a $5 entrance fee per day or a one time membership fee of $50 and an entrance fee of $3.50. how many times will she need to go to make it worth paying the membership fee
Answers
She needs to go to the swimming pool about 14 times for it to be worth paying the membership fee.
To determine how many times you need to go to the swimming pool to make the membership fee worth paying, you can use the following formula:
Number of visits = membership fee / (cost per visit without the membership - cost per visit with membership)
Plugging in the values, we get:
Number of visits = $50 / ($5 - $3.50)
Performing the calculation, we find that you would need to go to the swimming pool about 14 times for it to be worth paying the membership fee. This is because the cost per visit with the membership is $3.50, which is $1.50 cheaper than the cost per visit without the membership. After 14 visits, the savings from the cheaper entrance fee with the membership will have exceeded the cost of the membership fee.
It is important to note that this calculation is based on the assumption that you would pay the entrance fee every time you go to the swimming pool. If you plan on going to the swimming pool less frequently, it may take longer for the membership fee to be worth paying.
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A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answers
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
find the solution to the simultaneous equations: (8 points) (2 - j3)x (4∠20०)y = 3∠30० (4 j3)x – (2 j2)y = 6
Answers
The solution to the system of equations (2 - j3)x (4∠20०)y = 3∠30० (4 j3)x – (2 j2)y = 6 is:
x = (-3/4) + (3/4)j2 - (3/4)j4
y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)
We have the system of equations:
(2 - j3)x + (4∠20°)y = 3∠30°
(4j3)x – (2j2)y = 6
To solve for x and y, we can use the second equation to solve for one of the variables and substitute into the first equation.
Let's solve for x:
(4j3)x = 6 + (2j2)y
x = (6 + (2j2)y)/(4j3)
Now we substitute into the first equation:
(2 - j3)((6 + (2j2)y)/(4j3)) + (4∠20°)y = 3∠30°
Simplifying and multiplying by 4j3, we get:
(2 - j3)(6 + (2j2)y) + (4j3)(4∠20°)y = 12j3∠30°
Expanding and collecting like terms:
(12 + 4j6)y + (-6j3 - 2j2j3)y = 12j3∠30° - 12
Simplifying:
(12 + 4j6 - 6j3 + 2j5)y = 12j3∠30° - 12
Dividing by (12 + 4j6 - 6j3 + 2j5), we get:
y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)
We can now use this value of y to solve for x using the equation we derived earlier:
x = (6 + (2j2)y)/(4j3)
x = (6 + (2j2)((12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)))/(4j3)
Simplifying:
x = (18j3∠30° - 18)/(12 + 4j6 - 6j3 + 2j5)
x = (3j∠30° - 3)/(2 + j2 - 3j + j5)
x = (3j∠30° - 3)/(3 + j3)
Multiplying numerator and denominator by the conjugate of the denominator:
x = (3j∠30° - 3)(3 - j3)/(9 + 3)
Simplifying:
x = (9j∠30° - 9j3∠30° - 9)/(12)
x = (-3/4) + (3/4)j2 - (3/4)j4
Therefore, the solution to the system of equations is:
x = (-3/4) + (3/4)j2 - (3/4)j4
y = (12j3∠30° - 12)/(12 + 4j6 - 6j3 + 2j5)
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A= 108. Reflex angle b=
Answers
180+72=252
Step-by-step explanation:
an angel can be a large or as wide up to 360 then it is a circle
from the center out one way is 180
the same from the center the other way is 180
44% of USA adults says they are more likely to make
purchase during a sale tax holiday. You randomly select 5
adults. find the probability that the number of adults who
say they are more likely to make purchase during a sale
tax holiday is.
a) exactly 3
b)more than 3
c) between 1 and 3 inclusive
Answers
Answer:
c
Step-by-step explanation:
a believe thats the right percentage per person