Answer:
A
Step-by-step explanation:
Four members from a 12 -person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible?
Answer:
11880 ways
Step-by-step explanation:
We can solve this problem in two ways. I'm going to show you how to do both.
We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.
From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.
Such that
12 x11 x10x 9= 11880
These are the total different leadership structures possible.
Another way to solve this is by permutation method.
nPr
12!/(12-4)!
= 12!/8!
= 11880 ways
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
Step-by-step explanation:
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Have a good day :)
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Hence, the x-intercept is 13.
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A rectangle has a perimeter of 32 in. Find the length and width of the rectangle under which the area is the largest.
a. Let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x and y) A=_____
b. The condition that x and y must satisfy is y=______
Answer:
Length of the rectangle is 8 in and the breadth is 8 in.
a. [tex]A=xy[/tex]
b. [tex]y=16-x[/tex]
Step-by-step explanation:
Length = x
Breadth = y
Area is given by [tex]A=xy[/tex]
Perimeter of rectangle is given by
[tex]2(x+y)=32\\\Rightarrow x+y=16\\\Rightarrow y=16-x[/tex]
The condition that x and must satisfy is [tex]y=16-x[/tex]
So, area is
[tex]A(x)=x(16-x)\\\Rightarrow A(x)=16x-x^2[/tex]
Differentiating with respect to x we get
[tex]A'(x)=16-2x[/tex]
Equating with zero
[tex]0=16-2x\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]
Double derivative of A(x)
[tex]A''(x)=-2[/tex]
So [tex]A''(x)<0[/tex] which means [tex]A(x)[/tex] is maximum at [tex]x = 8[/tex]
[tex]y=16-x=16-8\\\Rightarrow y=8[/tex]
So length of the rectangle is 8 in and the breadth is 8 in.
Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D
Answer:
B) employers
Step-by-step explanation:
EDGE 2021
plz help and thankkkkm you
Answer:6(x+7= 42
Step-by-step explanation:
Louise Bourgeois obtained a $3,200 installment loan for a marble floor in her foyer. The
annual percentage rate is 9%. She must repay the loan in 24 months. Find the (a) monthly
payment using the formula, (b) total amount repaid, and (c) the finance charge.
find the values of x and y pls help
Answer: x = 39°, y = 5
Step-by-step explanation:
∠ADB and ∠CDB are same which means it's 90 degrees
and the triangle is isosceles, so ∠A=∠X and ∠ABD=∠CBD
180= ∠A + ∠B + ∠D
180= 51 + 90 + ∠D
∠D = 39 = x
for y I told you this is the isosceles triangle
so , AD = DC
what is the best partial quotient to 296dividedby4
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?
Answer:
For 1 year Jeff pays $1200.
For 6 years he pays 7200 / 6 = 1200 per year.
For 9 years he pays 10800 / 9 = 1200 per year.
Jeff's unit rate is $1,200 per year.
Daniel pays $1,150 per year.
150 is less than 1200, so the answer would be:
A. Daniel's unit rate is lower. It is $1,150 per year
Henry wrote a total of 12 pages over 4 hours. How many hours will Henry have to spend writing this week in order to have written a total of 15 pages? Assume the relationship is directly proportional.
Answer:
5 hours.
Step-by-step explanation:
12 ÷ 4 = 3. 3 pages an hour, which would mean 5 hours to write a total of 15 pages.
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Convert the measurement. 5 days = sec
Answer:
5days = ? sorry I don't understand sorry
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Every day has 24 hours .
Every hour has 60 minutes .
Every minute has 60 seconds.
Thus ;
[tex]5 \times 24 \times 60 \times 60 = 120 \times 60 \times 60 = \\ [/tex]
[tex]2 \times 60 \times 60 \times 60 = [/tex]
[tex]2 \times {6}^{3} \times {10}^{3} = [/tex]
[tex]2 \times 216 \times 1000 = [/tex]
[tex]432 \times 1000 = [/tex]
[tex]432,000 \: \: \: seconds[/tex]
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How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?
Equation:
alcohol + alcohol = alcohol
0.40x + 0.85*10 = 0.65(x+10)
----
40x + 85*10 = 65x + 65*10
20*10 = 15x
-----
x = (2/3)20
---
x = 13 1/3 gallons (amt. of 40% solution needed)
# 5
Write an equation in slope-intercept
form to represent the line parallel to
9x + 3y = 8 passing through the point
(-1,-4).
y = -3x - 1
y = -3x - 7
y = 1/3x + 1/3
y = 1/3X -4
Answer:
y = -3x - 1
Step-by-step explanation:
it is the only line that passes through the point (-1, -4)
Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)
Answer:
-8+8i
Step-by-step explanation:
(-72-6i) + (60-10i+24i-4i^2)
(-72-6i) + (60+14i+4)
-72+64+8i
-8+8i
What is the fractional equivalent of repeating decimal 0.5
The fractional equivalent of the repeating decimal 0.5 is 5/9.
To convert the repeating decimal into a fraction, we can assign a variable, let's say x, to the repeating decimal. In this case, x = 0.5555...
Next, we multiply both sides of the equation by a power of 10 that will eliminate the repeating part.
10x = 5.5555...
Now,we subtract the original equation from the new equation to eliminate the repeating part:
10x - x = 5.5555... - 0.5555...
9x = 5
Simplifying the equation, we get:
x = 5/9
Therefore, the correct answer is A. 5/9.
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The complete question is
What is the fractional equivalent of the repeating decimal 0.5?A.5/9B.1/2C.5/99D.5/100
Last month you had 8 wins while playing fortnight. This month you had 5. What was your percent of change?
I need work shown.
Answer:
%62.5
Step-by-step explanation:
Im pretty sure you jsut divide 5/8 and then multiply by 100 to get a percent
5/8=.625
.625*100=62.5
%62.5
A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where
would the hot air balloon be? ( 1 feet = 1 sandbag)
Answer:
21 feet above sea level.
Step-by-step explanation:
If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.
Answer:
21ft
Step-by-step explanation:
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E
Answer:
let me get the answer
Step-by-step explanation:
Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Explain your reasoning. (Note: 1 pound is about 0.45 kilograms and 1 kilogram is about 2.2 pounds.)
Answer:
The watermelon.. I think
Step-by-step explanation:
Multiply 7.5 times 2.2 and you get 16.5, which is greater than 12. Please correct me if wrong on this because everybody makes mistakes.
What is the value of x?
7.5/x= 30/16
Answer:
4
Step-by-step explanation:
I divided 30/16 and got 1.875, then I knew that 7.5 would have to have the same answer. I did a process of elimination by dividing 7.5 by numbers at random and finally divided by 4 and got the answer. Another way to get the answer would be to cross multiply the equation.
The difference between John and
Jane's college tutition was
$1,130.75. If Jane's tuition was
$45,000.00, what are the two
possible costs for John's tuition?
Answer:
$46,130,75 or $43,869.25
Step-by-step explanation:
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
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roger is at the bakery. he is thinking of buying 1 ¾ lb of rainbow cookies. rainbow cookies cost $11.50 per pound. how much would the cookies cost?
Answer:
The cookies would cost $20.125
Step-by-step explanation:
You would mulitply 1 3/4 by 11.50 to get your answer
Answer:
Step-by-step explanation:
11.50 a pound and he buys 1 3/4 a pound.
11.50*1.75= $20.125 or $20.13 if you round.
the cement truck can pour 20 pounds of cement I 45 seconds how long will it take the cement truck to pour 150 pounds of cement
please help asap question 1 *****
Answer:
(-6, 3)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set for the systems of equations.
Consider the function. f(x) = 2x(x - 1)
What are the values of
f(0)=
f(3)=
f(-4)=
Answer:
3
Step-by-step explanation:
what is (8 + 56) ÷ 4 + 3 2?
um is the end a 3 and 2 or 32 or 3*2?
Answer:
the answer to your question is 48
Put these rational numbers in ascending order: 1/2, 55%, 1/3, 0.52
O 1/2, 55%, 1/3, 0.52
O 55%, 0.52, 1/2, 1/3
O 1/3, 1/2, 0.52, 55%
O 1/3, 0.52, 1/2, 55%
Answer:
1/3, 1/2, .52, 55%
Step-by-step explanation:
9
1 point
What postulate or theorem justifies the congruence statement AABE – ACDE?
B
x
SSS
SAS
ASA
AAS
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)