Answer:
There are 154,440 ways.
Step-by-step explanation:
The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
5 books from a set of 13. So
[tex]P_{(13,5)} = \frac{13!}{(13-5)!} = 154440[/tex]
There are 154,440 ways.
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
A pyramid with a volume of 36 cm^3 has a base with a length of 4 cm and a width of 3cm. What is the volume of h?
Answer:
9 = h
Step-by-step explanation:
The formula of finding the volume of a pyramid is:
V = l * w(h / 3)
We know that Volume is 36, base or Length is 4 and the Width is 3, therefore;
36 = 4 * 3 (h/3)
36 = 12 * h/3
36/12 = h/3
3 = h/3
3(3) = h
9 = h
Therefore the height or h of the pyramid is 9cm
Hope this helps!
Area of square room =16m2
Length=?
Answer:
Step-by-step explanation:
area of square=l^2
16=l^2
[tex]\sqrt{16[/tex] =l
4=l
therefore the length of square room is 4 m
Answer:
length , l = 4m
Step-by-step explanation:
[tex]Area \ of \ square = l^2\\ 16 = l^2\\\\l = \sqrt{16} = 4m[/tex]
Calculate a negative co-terminal angle for θ=π3
Answer:
The coterminus angle is [tex]- \frac{5\pi}{3}[/tex].
Step-by-step explanation:
The given angle is
[tex]\theta = \frac{\pi}{3}[/tex]
The coterminus angle is
[tex]\frac{\pi}{3}- 2\pi = - \frac{5\pi}{3}[/tex]
3/4(2x-6)-2(1/2x+1)-1+5x
Answer:
Distribute:
=(
3
4
)(2x)+(
3
4
)(−6)+(−2)(
1
2
x)+(−2)(1)+−1+5x
=
3
2
x+
−9
2
+−x+−2+−1+5x
Combine Like Terms:
=
3
2
x+
−9
2
+−x+−2+−1+5x
=(
3
2
x+−x+5x)+(
−9
2
+−2+−1)
11
2
x+
−15
2
Step-by-step explanation:
2. If your gross biweekly salary is $3,290, then how much is your annual salary?
I
Answer:
Annual Salary = $85,540
Step-by-step explanation:
There are 52 weeks in a year.
If bi weekly salary is $3290
Then you get paid 26 times.
Therefore annual salary = 26 × 3290 =$85,540
Answer:
$78,960 is your annual salary
Step-by-step explanation:
By saying biweekly, if you mean that your gross salary for every two weeks is $3,290, then your annual salary will be roughly about $78,960
There are about 4 weeks in a month and you're getting your gross salary biweekly. So $3,290 times 2 equals $6,580. This is your monthly gross salary.
Now, multiply $6,580 times 12 to find out your annual salary because there are 12 months in a year. $6,580 times 12 equals $78,960. This is your annual salary
Hope this helps
Emily has a road map with a key that shows an inch on the map equals 6 miles of actual distance. She will drive on two roads to get to the beach. One road is 5 inches long on the map. The other road is 4 inches long.
Answer:
if you are trying to find the toatal distance it would be 54 miles
Step-by-step explanation:
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
anyone know this? that box is just when I get the answr
Answer:
1/10
Step-by-step explanation:
1/5 x 1/2
1/10
Bye , hope this helps!
Give brainliest !
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{5}\times\dfrac{1}{2}}[/tex]
[tex]= \mathsf{\dfrac{1\times1}{5\times2}}[/tex]
[tex]\mathsf{1 \times 1 = \boxed{\bold{1}} \leftarrow NUMERATOR\ (TOP\ number)}[/tex]
[tex]\mathsf{5\times2 = \boxed{\bold{10}} \leftarrow DENOMINATOR\ (BOTTOM \ number) }[/tex]
[tex]\mathsf{= \dfrac{1}{10}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{10}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
helppp!!!! i dont know how to do this problem!!
find the value of x to the nearest 10th
a. 5.2
b. 8.4
c. 7.8
d. 4.7
Answer:
option b is correct option
Step-by-step explanation:
plz mark me brainleast
MT is a diameter of OE. Calculate the measure of AT.
A. 24°
B. 48°
C. 96°
D. 180°
Need the answer, click the picture to see the thingy
Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 17 feet. Container B has a radius of 10 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
Answer:
Step-by-step explanation:
Container A = 75.36 x 17 = 1,281.12
Container B = 62.8 x 18 = 1,130.4
1,281.12 - 1,130.4 = 150.72 is left in container A.
So, 1,130.4 was taken out of it.
1,281.12 divided by 1,130.4 = 1.13
move the decimal over two to the right. Or times it by 100.
113%
help please. thank you
Answer:
y = -2/3 x +2
Step-by-step explanation:
2x+3y = 12
First find the slope by putting it in slope intercept form y= mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
3y = -2x+12
Divide by 3
3y/3 = -2/3x +12/-3
y = -2/3x -4
The slope is -2/3
Parallel lines have the same slope
The only line with the same slope is y = -2/3 x +2
The only line
HELP PLEASE!!!!!!!!!
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Answer:
B
Step-by-step explanation:
The quadratic is defined for x < 1. The line is defined for x ≥ 1. The only answer choice that has this right is choice B.
I understand the law of cos, except for this little part, so I really need help please.
Answer:
22.33
Step-by-step explanation:
If an event is likely to happen, then the probability is :
A. Between 0% and 50%
B. Between 50% and 100%
C. Exactly 50%
Answer:
B. Between 50% and 100%
Step-by-step explanation:
0% - 50% is unlikely.
Exactly 50% is even chance.
What is 0.25 - 1.125 - 16/8 equal to?
Answer: -23/8, -2.875, -2 7/8
Step-by-step explanation:
Determine if the type of sequence of the following terms.
2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question
Answer:
B: polynomial
Step-by-step explanation:
The sequence given is;
2, 5, 10, 17, 26, 37,...
From this sequence, the first difference between consecutive terms is respectively;
3, 5, 7, 9, 11...
We can see that the differences gotten are not constant.
Now, let's find the second difference between the consecutive first differences respectively;
2, 2, 2, 2...
This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;
f(x) = an² + bx + c
Where the quadratic coefficient is two times the second difference.
Thus;
2a = 2
a = 1
And where c is the 0th term.
Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.
a kids pool had a small opening
Answer:
so water will come through try some flex tape
Answer:
what the other person said
Mr. Adams has 14 boys and 8 girls in his mathematics class. If he chooses two students at random to work on the board, what is the probability that both students chosen are boys? Show your work. (DO NOT GIVE LINKS)
Answer:
7/11
Step-by-step explanation:
Total students (14+8) = 22
Boys = 14
Probability for boys,
= 14/22
= 7/11
I'm not sure. Hope, this is correct.
Answer:
[tex]\frac{13}{33}[/tex]
Step-by-step explanation:
14 + 8 = 22
14/22
22 - 1 = 21
14 - 1 = 13
The next time there are 21 students and 13 boys.
13/21
14/22 × 13/21
13/33
Which of the following equations is of a parabola with a vertex at (4, 0)? y = ( x + 4) 2 y = x2 + 4 y = ( x - 4) 2 y = x2 - 4
Answer:
16 ×6=6 7+6 5 y = 2 + 4 y( 4. 8)y =14
Using the net below, find the surface area
of the pyramid.
7in.
4 in.
4 in.
Surface Area
[?] in.2
Enter
Answer:
is it 72
Step-by-step explanation:
assume that a consumer has a given budget or income of $12 and that she can buy only two goods, apples or bananas. The price of an apple is $1.50 and the price of a banana is $0.75. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis?
Answer:
-2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.
Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:
0.75y + 1.5x = 12
0.75y = -1.5x + 12
y = -2x + 16
Hence comparing with y = mx + b, the slope of the budget line is -2
A country has two political parties, the Reds and the Blues. The 100-member senate has 4444 Reds and 5656 Blues. Each party must elect a chair and a vice chair from their party's members, and one person cannot be elected for both. How many different outcomes are there for the chair and vice chair elections of both parties
Answer:
There are 5,827,360 different outcomes.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In each party:
The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Reds:
Two from a set of 44. So
[tex]P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892[/tex]
Blues:
Two from a set of 56. So
[tex]P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080[/tex]
How many different outcomes are there for the chair and vice chair elections of both parties?
Considering both, by the fundamental counting principle:
1892*3080 = 5827360
There are 5,827,360 different outcomes.
Teresa deposits $800 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years?
Answer:
I'll setup the problem and you can do the computation
Step-by-step explanation:
The formula for simple interest:
I = P*r*t
I = interest
P = deposit
r = interest rate per period
t = number of periods
P = $800
r = 0.02
t = 2
If you have questions, send me a comment
Solve 5(2x – 3) = 5x – 10 for x.
Answer:
x=1
Step-by-step explanation:
5(2x – 3) = 5x – 10
Distribute
10x -15 = 5x-10
Subtract 5x from each side
10x-15-5x = 5x-5x-10
5x -15 = -10
Add 15 to each side
5x-15+15 =-10+15
5x = 5
Divide by 5
5x/5 = 5/5
x=1
Answer and Step-by-step explanation:
To solve for x, first distribute the 5 to the 2x and 3.
10x - 15 = 5x - 10
Now, add 15 to both sides and subtract 5x to both sides of the equation.
5x = 5
Divide both sides of the equation by 5.
x = 1
The answer is x = 1
#teamtrees #PAW (Plant And Water)
A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? Y= ?/?x + [?]
Answer:
m = ½
y = ½x - 3
Step-by-step explanation:
m = (-12 + 14)/(‐18 + 22)
m = ½
y + 14 = ½(x + 22)
y = ½x + 11 - 14
y = ½x - 3
Solving Linear Equations: Variables on Both Sides I really need this please!
I'm not sure if its A.
Answer:
C T= S, U = R
Step-by-step explanation:
Congruent angles means they have the same measurement
R = U
S= T