Please Help. Question attached. (No Links Please!)
It's D, 15!/(15 - 5)! .
15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of
15 * 14 * 13 * … * 2 * 1 = 15!
possible arrangements.
But you're taking 5 objects at a time, so we only have 5 positions to fill:
_ _ _ _ _
and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is
15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!
a³+b³ if a+b=3ab=2
please help me
Answer:
[tex]a^3 + b^3 = -4[/tex]
Step-by-step explanation:
Given
[tex]a + b = 3ab = 2[/tex]
Required
Solve: [tex]a^3 + b^3[/tex]
Rewrite the expression as:
[tex]a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3[/tex]
Factorize
[tex]a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)[/tex]
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]
Rewrite as:
[tex]a^3 + b^3 = (a + b)(a^2 + b^2- ab)[/tex]
[tex]a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)[/tex]
Factorize
[tex]a^3 + b^3 = (a + b)((a + b)^2 - 3ab)[/tex]
Open brackets
[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]
Given that:
[tex]a + b = 3ab = 2[/tex]
This means that:
[tex]a + b = 2[/tex] and [tex]3ab = 2[/tex]
So, we have:
[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]
[tex]a^3 + b^3 = 2^3 - 3 * 2 * 2[/tex]
[tex]a^3 + b^3 = 8 - 12[/tex]
[tex]a^3 + b^3 = -4[/tex]
ILL BRAINLIEST YOU AND GIVE U TEN EXTRA POINT IF YOU GET IT RIGHT
PLEASE HELP SOLVE THIS WITH EXPLANATION PLEASE
Answer:
[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)
Step-by-step explanation:
Reference angle = θ
Opposite side = 16 (length of the side opposite the reference angle)
Hypotenuse = 44
Apply trigonometric function SOH:
[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]
Substitute
[tex] sin(\theta) = \frac{16}{44} [/tex]
[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]
[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)
pleaseeeee help me, thank youu
Answer:
nose
Step-by-step explanation:
dios porque nose ayudame dios mio
7+6-9(-2)+(-3) simplify step by step plzzzx
=13+18-3
=31-3
=28
the answer is 28
Answer:
28
Step-by-step explanation:
According to Order of Operations rules, we must multiply here before adding or subtracting.
In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2). This comes out to 18, so now we have:
7+6 + 18 +(-3).
Next, remove the remaining parentheses, obtaining:
7 + 6 + 18 - 3, or
13 + 15 = 28
Find the area of the sector below:
No links pls !
Answer:
32pi ftsquared or
100.48ft squared (multiplied by 3.14)
Step-by-step explanation:
a = piR^2
pls help will give brainlist
Answer:
6 lb 12 oz is the answer
Step-by-step explanation:
Just did the subtraction
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
200+5-4+e+9000+100-200
Answer:
9103.71828183
Step-by-step explanation:
9103.71828183=200+5-4+e+9000+100-200
2 1/2 + 2 1/3 + 3 2/3
Answer:
8 1/2
Step-by-step explanation:
2 1/2 + 2 1/3 + 3 2/3
= 2 3/6 + 2 2/6 + 3 4/6
= 7 9/6
= 8 3/6
= 8 1/2
50 Benson purchased a $1,800 certificate of deposit that earns s
of 1 year, the certificate was worth $1,857.60.
What is the annual interest rate on this certificate of deposit
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
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Solve the expression 9 + (20 x one fourth ) − 6 ÷ 2 using PEMDAS. (4 points)
Group of answer choices
8
11
13
16
The value of the expression given in the task content upon solving the expression according to PEMDAS is; 11.
What is the value of the expression given upon evaluation by PEMDAS?It follows from the task content that the expression given whose value is to be determined is; 9 + (20 x 1/4 ) − 6 ÷ 2.
By first solving the parentheses, we have;
9 + (5) − 6 ÷ 2
= 9 + 5 -3
= 11.
Hence, the value of the expression in discuss is; 11.
Read more on PEMDAS;
https://brainly.com/question/345677
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Simplify: 40 − 5 × 2 3 + (20 − 2) ÷ 9
Answer:
-73
Step-by-step explanation:
Answer:
-73
Step-by-step explanation:
Help me out here!! Please!
my mom homeschools me and she has this thing called desmos so I'm trying to figure this out
Answer:
250 gallons of water are being pumped out each hour
Step-by-step explanation:
It tells us that W is the amount of water in the pool at a time. It also tells us that at the start there is 9000 gallons in the pool. We also know t is the time in hours so 1 t = 1 hour.
W=9000-250t
We can substitute in what we know
The amount of water in the pool = 9000 gallons - 250 gallons times 1 hour
so that means if one hour passes 250 gallons are removed, and if 2 pass then 500 are removed showing that for every hour the pump is on 250 gallons of water are being sucked from the pool
Please answer my question will give brainliest
y=x+1 and 2y=5-x find x and y
Answer:
x = 1
y = 2
Step-by-step explanation:
substitution method:
y = x+1
2(x+1) = 5 - x
2x + 2 = 5 - x
3x = 3
x = 1
find 'y':
y = 1+1
y = 2
A plane flew 390 nautical miles in 45 min. Find its average speed in knots ( nautical miles per hour)
Answer:
451.87 knots.
Step-by-step explanation:
Hope this helps
The average speed of the plane is 520 Knots.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled 390 nautical miles and t is 45 mins or 0.75 hours
Thus speed of the plane is = 390/0.75
= 520
Hence, The average speed of the plane is 520 Knots.
Learn more about the speed of an object here:
https://brainly.com/question/28224010
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Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left
40% of what number is 43
Answer:
107.50
Step-by-step explanation:
107.50 times 40 percent is 43
Answer: the answer is 107.5
Step-by-step explanation:
use
is/of = %/100 the / are fraction
In the diagram below, AQRS is an equilateral triangle and RT I QS.
R
Q
S
7
Which statement must be true?
O A. QR = RT
B. RT = 2 · QT
O C. AQRT is a 45-45-90 triangle.
O D. AQRT is a 30-60-90 triangle.
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
None of the given sides or angles are congruent, so they are not congruent.
The population of Sanibel, Florida can be modeled by P= 6191 . 1.054, where t is the number of years since 2016.
A. What was the population in 2016?
B. What percent did the population increase by each year?
40 points if u answer
Answer:
A 5873.814042
B 90%
Step-by-step explanation:
In the equation: (16)^3=2^3/2x how could you solve for x?
Answer:
x = 8
Step-by-step explanation:
16 is the same as 2^4
(2^4)³ = 2^3/2x
2^12 = 2^3/2x
as long as bases are both the same then set exponents equal
12 = [tex]\frac{3}{2}[/tex]x
3x = 24
x = 8
Please put the answer not a apps i have to download. Decide if each statement is true or false. Be prepared to explain your reasoning.
(-38.76)(-15.6) is negative
10,000−99,999<0
34-43=0
(30)(-80)−50=50−(30)(-80)
Answer:
Below
Step-by-step explanation:
False, negative times negative is always positive.
True, 10,000 is less than 99,999, so subtracting them will be negative.
False, 34 and 43 aren't equal to eachother so subtracting them can't end up to 0.
False. If you follow PEMDAS, you have to do multiplication first. In the left side, -80(30) is a negative value, while in the right, (-30)(-80) is a positive value.
HELP PLS!! this is geometry and I’m not sure how to do it!! So I was wondering is someone could help me solve these!!
Answer:
I couldn't find questions.
You can follow me ask help
Trina has posted 6 less than 3 times as many pictures on her social media page than Ella Trina posted 96 pictures the equation below represents their relationship where e is the number of photos that Ella has posted 3e-6=96 how many photos has Ella posted
A.30
B.34
C.270
D.306
Answer:
the answer for this question is C.270
help plwase due soon
Manfred botched the landing. His little propeller plane came in to land
at 100 knots - way too fast. His flight instructor shouted "Slow down!"
over and over again, but Manfred just wanted to be on the ground as
soon as possible. When he hit the runway, the landing gear nearly
snapped off, and he failed the flight exam. I'll never fly again he
decided
Which statement best describes how the conflict helps make the story
engaging?
A. Airplanes will continue to pose a great danger to Manfred, which is
suspenseful.
O B. The conflict between Manfred and his flight instructor is likely to
turn violent
C. Learning to fly is a symbol for the trials that all people must face
during adulthood
O D. Manfred stubbornly vows never to fly again, which causes tension
Answer:
A
Step-by-step explanation:
A P E X
Answer:
mamfred stubbornly vows to never fly agin
Step-by-step explanation:
In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice must show a side containing multiples of 3 dots. What is the probability of winning the prize?
1/6
1/2
5/6
1/3
Answer:
1/6 cause there is a 1 in 6 chance each time you roll the die
Step-by-step explanation:
