Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
HELP PLEASE
The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
6.08 ft
Step-by-step explanation:
Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]
[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]
[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]
[tex]R = \sqrt{36.98}[/tex]
[tex]R = 6.08[/tex]
(A) 10
(B) 8
(C) 16
(D) 3
Answer:
8
Step-by-step explanation:
10 to big 16 to large 3 to small 8 just right
What is the simplest form of this expression y2 (3y + 4) + 5y3
Answer:
y2 (3y + 4) + 5y3 :))
Step-by-step explanation:
please give me a good rating lol
Answer:
y2(3y+4)=5y3
Step-by-step explanation:
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender
The question is incomplete, so here is the complete question.
Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer and Step-by-step explanation:
Part A:
Romanticism Gothic Total
Males 48 63 111
Females 59 62 121
Total 107 125 232
Part B: The preferred style is Gothic by a percentage of
P = [tex]\frac{125}{232}[/tex]
P = 54%
Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.
Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.
Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
Please rate, thanks, mark brainliest if this helps!
Which tables display linear functions? Check all that apply.
Answer:
A,D, First and Last
Step-by-step explanation:
Answer:
All boxes but the top right box are linear.
I need the answer ASAP! Thanks! ❤️
Please help with this
Answer:
A. x = 5, -3
Step-by-step explanation:
The quadratic equation/formula is:
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4x^2 - 8x -60=0[/tex]
Plug in the numbers according to the letter associated:
[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]
[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]
[tex]x = \frac{8+-32}{8}[/tex]
Solve for addition and subtraction:
[tex]x = \frac{8+32}{8}[/tex] [tex]x = \frac{8-32}{8}[/tex]
[tex]x = \frac{40}{8}[/tex] [tex]x = \frac{-24}{8}[/tex]
x = 5 x = -3
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
just some math :> and meh needs halp
Answer:16
Step-by-step explanation:
5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.
144π mm3
168π mm3
312π mm3
456π mm3
Answer:
312π mm3
Step-by-step explanation: yes
The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct
The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.
Volume is defined as the ratio of the mass of an object to its density.
Volume of composite figure = Volume of semi-sphere + Volume of cone
= 2/3πr³ + 1/3πr²h
= 2/3*6³π + 1/3*6²*14π
= 312π mm³
Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.
Learn more about Volume here:
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Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
What is the area of the shaded region to the nearest tenth of a foot?
If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2
Answer:
Option B.
Step-by-step explanation:
Note: Given roots are not in proper format.
Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].
According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).
Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).
Therefore, the correct option is B.
Answer:
B)
Step-by-step explanation:
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB
Answer:
They help to visualize the problem
Step-by-step explanation:
Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply
A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.
Answer:
It is C i just had that question
Step-by-step explanation:
Answer:
just c i had that question too
Step-by-step explanation:
You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?
Answer: On loan of $5000 at that rate, you would be owing $9400
Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.
Hence, the formula for a simple interest computation is given as follows;
Interest = P x R x T
Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)
Interest = 5000 x 0.22 x 4
Interest = 20000 x 0.22
Interest = 4400
Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.
Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)
what is the distance between the pair of points.
(3, 3) and (3, −5)
Answer: 8
Step-by-step explanation:
So the right answer is 8units
Look at the attached picture
hope it will help you...
Good luck on your assignment
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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Someone please explain these questions
Answer: You find it by using slope
Step-by-step explanation
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)
I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.
Solve for the slope using the given values.
Slope formula: y2-y1/x2-x1
= 8-5/5-0
= 3/5
Point slope form: y - y1 = m(x - x1)
Using the point (5, 8) and the slope (3/5), it should look like:
y - 8 = 3/5(x - 5)
Best of Luck!
Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?
Hey there! Welcome to Brainly! I'm happy to help you!
When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.
h=10 (the height is 10)
b=h/2 (base is half as long as the height)
We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!
b=10/2
b=5
So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!
10(5)=50
Therefore, the area of the sticker is 50 cm².
I hope that this helps! Have a wonderful day!
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
