Answer: 380
Step-by-step explanation:
Total number of players = 20
To select a captain and a vice captain :
One captain from a total of 20 players :
20 combination 1 = 20C1 = 20 ways
Total number of players left after selecting a captain = 20 - 1 = 19
Number of players left from which to select a vice captain = 19
Therefore, one vice captain from a group of 19 players :
19 combination 1 = 19C1 = 19 ways
Therefore no of different possible ways to select a captain and a vice captain :
20C1 × 19C1 = 20 × 19 = 380 Ways
We have 9 balls, numbered 1 through 9, and 27 bins. How many different ways are there to distribute these 9 balls among the 27 bins? Assume the bins are distinguishable (e.g., numbered 1 through 27).
Answer:
7625597484987 ways
Step-by-step explanation:
Given the following :
Number of ball(k) = 9
Number of bins (n) = 27
How many different ways are there to distribute these 9 balls among the 27 bins.
Here, the balls have different labels (1 to 9)
The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.
Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k
27^9 = 7625597484987 ways.
pls help me for question no.4
Answer:
Area of the composite figure = 75.25 cm²
Step-by-step explanation:
Question (4). Given figure is a composite figure having,
(1). Right triangle STU
(2). A kite PSUV
(3). A trapezoid PQRS
Now we will calculate the area of each figure.
(1). Area of the right triangle = [tex]\frac{1}{2}(\text{ST})(\text{TU})[/tex]
= [tex]\frac{1}{2}(3.5)(3)[/tex]
= 5.25 cm²
(2). Area of the kite PSUV = [tex]\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})[/tex]
= [tex]\frac{1}{2}(\text{PU})(\text{SV})[/tex]
= [tex]\frac{1}{2}(\text{TS+RQ})(\text{SV})[/tex]
= [tex]\frac{1}{2}(3.5+7)(6)[/tex] [Since SV = 2 × 3 = 6 cm]
= [tex]3\times 10.5[/tex]
= 31.5 cm²
(3). Area of the trapezium = [tex]\frac{1}{2}(b_1+b_2)(h)[/tex] [Where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and h is the distance between the bases]
= [tex]\frac{1}{2}[(7-3)+7](7)[/tex]
= [tex]\frac{77}{2}[/tex]
= 38.5 cm²
Total area of the given figure = 5.25 + 31.5 + 38.5
= 75.25 cm²
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
Answer:
did you have more
Step-by-step explanation:
Answer: i’ll attach the tables that my quiz had and if they’re the same tables that your quiz has then you can use this answer! but the answer is C. x | y
1 | 2
2 | 6
3 | 18
4 | 54
5 | 162
Step-by-step explanation:
every y-value can be multiplied by 3 to get the next y-value. also this answer is reliable because i got a 100 on my quiz on this! but here are the tables that were on my quiz:
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
Answer:
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
[tex]z=r(\cos \theta +i\sin \theta)[/tex]
where, [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\tan \theta=\dfrac{b}{a}[/tex], [tex]\theta[/tex] is called the argument of z, [tex]0\leq \theta\leq 2\pi[/tex].
The given complex number is -5i.
It can be rewritten as
[tex]z=0-5i[/tex]
Here, a=0 and b=-5. [tex]\theta[/tex] lies in 4th quadrant.
[tex]r=\sqrt{0^2+(-5)^2}=5[/tex]
[tex]\tan \theta=\dfrac{-5}{0}[/tex]
[tex]\tan \theta=\infty[/tex]
[tex]\theta=2\pi -\dfrac{\pi}{2}[/tex] [tex][\because \text{In 4th quadrant }\theta=2\pi-\theta][/tex]
[tex]\theta=\dfrac{3\pi}{2}[/tex]
So, the trigonometric form is
[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]
Answer:
in degrees the answer is 5 (cos 270 + i sin 270)
in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))
Step-by-step explanation:
Which phrase matches the expression p+7? A. 7 minus p B. the difference of 7 and p C. the quotient of p and 7 D. the sum of p and 7
Answer:
the sum of p amd 7
hopefully this helped :3
Answer:
D
Step-by-step explanation:
Since addings answer is a sum
p+7
D
Trigonometry.....Help plzzzz
Answer:
17.3 = AC
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan B = opp/ adj
Tan 68 = AC / 7
7 tan 68 = AC
17.32560797 = AC
To 1 decimal place
17.3 = AC
Answer:
AC = 17. 3 cmStep-by-step explanation:
To find AC we use tan
tan ∅ = opposite / adjacent
From the question
AB is the adjacent
AC is the opposite
So we have
tan 68 = AC / AB
AC = AB tan 68
AC = 7 tan 68
AC = 17.32
AC = 17. 3 cm to one decimal place
Hope this helps you
4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?
Answer:
i think its 67600
Step-by-step explanation:
100*26=2600
2600*26=67600
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of each central angle in the circle graph for the following: a.sleeping b.eating
Answer:
C) 118.8; 28.8
Step-by-step explanation:
for eating, it didn't make sense for it to be 288 degrees, so i eliminated the two off the list. For sleeping, it made more sense for it to be a 118.8 degree angle, so I narrowed it down to C.
The central angle for sleeping is 118.8 degrees and the central angle for eating is 28.8 degrees.
What is the central angle of a pie chart?
The angle formed by an arc of the circle at the center of the circle is called central angle of a pie chart.
How to find the central angle of a pie chart?central angle = [tex]\frac{sector}{100}[/tex] × 360
According to the given question
We have a pie chart
In which, time spend by students in different activities is given.
Now,
The measure of central angle for sleeping is given by
Central angle for sleeping = [tex]\frac{sector}{100}[/tex] × 360
⇒ Central angle for sleeping =[tex]\frac{33}{100}[/tex] × 360 = 118.8 degrees.
Similarly,
The measure of central angle for eating is given by
Central angle for eating = [tex]\frac{8}{100}[/tex] × 360 = 28.8 degrees
Hence, first option is correct.
Learn more about the central angle of pie chart here:
https://brainly.com/question/9473378
#SPJ2
Which expressions are equivalent
Answer:
Options (B) and (C)
Step-by-step explanation:
The given expression is [tex](d^{\frac{1}{8}})^5[/tex]
By simplifying this expression,
[tex](d^{\frac{1}{8}})^5[/tex]
= [tex](\sqrt[8]{d})^{5}[/tex]
Option (B)
Similarly,
[tex](d^{\frac{1}{8}})^5[/tex]
= [tex]d^{\frac{5}{8}}[/tex]
= [tex](d^{5})^{\frac{1}{8}}[/tex]
Option (C)
Therefore, Options (B) and (C) will be the correct options.
first correct answer gets best marks
Answer:
x ≤5
Step-by-step explanation:
Pointing to the left means less than or less than or equal to
x ≤5
Answer:
[tex]\boxed{x \leq 5}[/tex]
Step-by-step explanation:
[tex]\sf Arrow \ pointing \ to \ the \ left \ on \ a \ number \ line \ means \ that[/tex]
[tex]\sf \ the \ value \ is \ either \ less \ than \ or \ less \ than \ or \ equal \ to.[/tex]
[tex]\sf{Graph}[/tex] [tex]x\leq 5[/tex] [tex]\sf{on \ the \ number \ line.}[/tex]
is 4,8,10 pithogoreon triplet
Answer: No
Step-by-step explanation:
No, because 4^2 is 16, 8^2 is 64, 10^2 is 100 and 16+64 = 80 and 80≠100
Find the sum. Express your answer in simplest
form.
Answer:
( 3u +12) / (v^2+4)
Step-by-step explanation:
(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)
Since the denominators are the same, we can add the numerators
((-u+3) + ( 4u+9)) /( v^2+4)
Combine like terms
( 3u +12) / (v^2+4)
The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
What is the volume of the following rectangular prism? the height is 5 and 1/4 and the base is 8
Answer:
V = 42 units ^3
Step-by-step explanation:
The volume of a rectangular prism is
V =Bh
V = 8*5 1/4
Changing to a mixed number
V = 8* ( 5*4+1) /4
=8*21/4
= 42 units^3
Answer:
[tex]\huge\boxed{V=42\ u^3}[/tex]
Step-by-step explanation:
Th formula of a volume of a prism:
[tex]V=BH[/tex]
B - base
H - height
We have
[tex]B=8;\ H=5\dfrac{1}{4}=\dfrac{5\cdot4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]
Substitute:
[tex]V=(8)\left(\dfrac{21}{4}\right)[/tex] simplify 8 and 4
[tex]V=(8\!\!\!\!\diagup)\left(\dfrac{21}{4\!\!\!\!\diagup}\right)=(2)(21)=42[/tex]
Ted and three of his friends went out to eat. They decided to split the bill evenly. Each person paid $16.88. What was the total bill?
Answer:
Total bill = $67.52
Step-by-step explanation:
Ted + 3 = 4
$16.88 × 4 = $67.52
hopefully this helped you :3
Answer:
16.88*4= 67.52 dollars
Step-by-step explanation:
Ted and 3 friends split the bill evenly, each person paid 16.88:
16.88*4= 67.52 dollars
18x + 18 = 17 What is the variable x and how do you get that answer?
Answer:
x = - 1/18
Step-by-step explanation:
Move all terms not containing x to the right side of the equation
Divide each term by 18 and simplify
The result can be shown in multiple forms
x = -1/18
Decimal form= -0.05
Answer: x=-1/18
Step-by-step explanation:
18x+18=17
you subtract 18 from both sides
18x=-1
then you divide by 18 on both sides
x=-1/18
Can someone answer all of them or at least one please. Thank you :)
1. Solve the equation below for the variable (y):
2x + 5y = 20
A. y = 20 - 2x / 5
B. y = 18x / 5
C. y = 5 (20 - 2x)
d. y = 2x - 20 / 5
2. Substitute r = 3 and h = 5 into the formula V = πr^2h then evaluate
A. 235.5
B. 47.1
C. 141.3
3. In a formula, any operation we can do to a number can also be done to a variable.
True or False?
Answer:
1) A. y= (20 - 2x) /5
2) C. 141.3
3) True ( Your answers are here.)
Answer:
1. is A 2. is C 3. is I believe True
Step-by-step explanation:
1.
2x + 5y = 20
-2x -2x
5y = 20 - 2x
/5 /5
Answer: y = 20 - 2x /5
2.
V = πr^2h
π=3.14 r=3 h=5
3.14*3^2*5
1.413*10^2 which = 141.3
3.
I am not completely sure but I think it is True
Hope this helps
PLEASE HELP
A hire purchase agreement offers gym equipment, with a marked price
$897, for $87 deposit and $46.80 a month payable over 2 years.
Calculate :
a) the total hire-purchase price
b) the amount of
amount of interest charged
Answer: a) $1,210.20 b) $313.20
Step-by-step explanation:
a) $87 down + $46.80(24 months) = $1,210.20 total paid
b) $1,210.20 - $897.00 = $313.20 interest paid
Which phrase refers to the legal act of lowering an individual’s tax liability?Which phrase refers to the legal act of lowering an individual’s tax liability?
Answer:
Tax avoidance - legal
Tax evasion - illegal
an appropriate metric unit for the mass of an eyelash.
Answer: Mass of a typical house cat:
Automatically eliminate B and D since they are not metric unit for mass
So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.
Correct answer: C
what is the value of 24% of 800?
Question of mathematics
Answer:
[tex] \huge \boxed{192}[/tex]Step-by-step explanation:
[tex]24\% \: of \: 800[/tex]
By definition of p% = p/100
[tex] = \frac{24}{100} \times 800[/tex]
Reduce the numbers with Greatest Common Factor 100
[tex] = 24 \times 8[/tex]
Multiply the numbers
[tex] = 192[/tex]
Hope I helped!
Best regards!!
Please Help ME!! I BEG YALL! Ill give BrAINlIeSt! :) Given the figure below, find the values of x and z.
Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]
Hope it helps <3
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a
Answer:
Unknown side = 28tan B = 7/24Step-by-step explanation:
The question is incomplete. Here is the complete question.
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.
Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.
From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;
c² = a²+b²
100² = 96² +b²
b² = 100² - 96²
b² = 10,000 - 9216
b² = 784
b = √784
b = 28
Hence, the unknown length is 28.
To get tanB, we will use the SOH, CAH, TOA trigonometry identity
According to TOA, tan B = opposite/adjacent
tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)
Given b = 28 and a = 96
tan B = 28/96
tan B = 4*7/4*24
tan B = 7/24
In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 8 vowels and 12 consonants, what is the probability you will choose a consonant first and then a vowel?
Answer: 6/25
Step-by-step explanation:
Number of vowels = 8
Number of consonants = 12
Total number of tiles in bag = (number of vowels + number of consonants)
Total = (12 + 8) = 20
Probability = (required outcomes / total possible outcome)
Probability of choosing a consonants = (number of consonants / total number of word tiles)
P( consonants) = 12 / 20 = 3/5
Since it is with replacement, total number of word tiles will still be 20
Probability of choosing a vowel = (number of vowels / total number of word tiles)
P( vowels) = 8 / 20 = 2/5
Therefore,
P(constant then vowel) = 3/5 * 2/5 = 6/25
Find the length of BC round answer to the nearest hundredth
Step-by-step explanation:
Use law of sines.
16 / sin 39° = BC / sin 120°
BC ≈ 22.02
Greetings from Brasil...
Here we cant use calculator..... It seems that in the USA the use of a scientific calculator is allowed
Let's use Senos Law in Any Triangle
(AC/SEN B) = (BC/SEN A)
16/SEN 39 = BC/SEN 120 sen 120 = sen 60 = √3/2
16/0,63 = BC/(√3/2)
0,63BC = 16√3/2
BC = 8√3/0,63
BC ≈ 22Complete the inequality with >, <,>,<,is greater than, comma, is less than, comma or ==equals. 2^52 5 2, start superscript, 5, end superscript 5^25 2 5, squared
Answer:
[tex]2^5 > 5^2[/tex]
Step-by-step explanation:
Given the expression [tex]2^5 \ 5^2[/tex], we are to complete the inequality by inserting the correct inequality signs in between the values.
Before we do that, we must know the value of each indicinal expressions.
[tex]2^5 = 2*2*2*2*2\\\\2^5 = 4*4*2\\\\2^5 = 16*2\\\\2^5 = 32[/tex]
Also,
[tex]5^{2} = 5*5\\\\5^2 = 25[/tex]
From the values gotten, we can clearly see that 32 is greater than 25. This means that 2⁵ is greater than 5². Hence the inequality sign that will complete the expression is a greater than sign (>).
The inequality will be [tex]2^5 > 5^2[/tex]
Answer:
its this
over here...
Find the value of
x in the triangle shown below.
Answer:
69.7° (corrected to 3 significant figures)
Step-by-step explanation:
Use the cosine formula to solve for x.
[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]
On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.
Answer:
He hiked 10 miles.
Step-by-step explanation:
rate x time = distance
The distance up and the distance down are equal
3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours
3h + 2 = 5h
2 = 2h
h = 1 hour
3mi/hr x 1 2/3 hr = 5 miles
5 mi/hr x 1 hr = 5 miles
8x + 5y=-22
-3x - 5y = 2
Answer:
(-4, 2).
Step-by-step explanation:
8x + 5y=-22
-3x - 5y = 2 Adding the 2 equations:
5x = -20
x = -4.
Substitute x = -4 in the first equation:
8(-4) + 5y = -22
5y = -22 + 32
5y = 10
y = 2.
Answer:
[tex]x=-4,\:\\y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\[/tex]
[tex]\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2[/tex]
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
Answer:
The loudness of the dinner conversation is 40 dB
Step-by-step explanation:
Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]
where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2
For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2
Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB
Answer:
50 Db
Step-by-step explanation: