Answer: 1860480
Step-by-step explanation:
Initially, there are 20 balls where 5 must be chosen in order.
The number of possible outcomes may be calculated using the concept of permutations.
The formula for permutations is:
nPr =n!/(n−r)!
where n represents the number of items and r represents the number of items to be selected.
The number of ways of selecting 5 balls in order out of 20 is:
20P5 = 20!/15!
= 1860480
To conclude, there are 1860480 possible outcomes.
800,000+700 standard form
Answer:
800700
Step-by-step explanation:
800000 + 00000 + 0000 + 000 + 00 + 0
000000 + 00000 + 0000 + 700 + 00 + 0
------------------------------------------------------------
= 800700
Answer:
Hey there!
800000+700=800700
Hope this helps :)
tan inverse X + tan inverse Y + tan inverse z=pie prove that X+Y+Z=xyz
Answer:
see explanation
Step-by-step explanation:
Given
[tex]tan^{-1}[/tex]x + [tex]tan^{-1}[/tex]y + [tex]tan^{-1}[/tex] z = π
let
[tex]tan^{-1}[/tex]x = A , [tex]tan^{-1}[/tex]y = B , [tex]tan^{-1}[/tex]z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
[tex]\frac{tanA+tanB}{1-tanAtanB}[/tex] = - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
Convert the following:
How many kilometers are in 1 mile? (Hint: Use the answer from the previous problem)
1 mile is equivalent to
ao kilometers (rounded to the nearest hundredth)
Answer: 1.609344 kilometers.
Step-by-step explanation:
A mile is an English Unit that is used to measure the length of a linear surface.
Even though the kilometre has replaced it to a large extent as the standard measure of length, it is still the main unit of measurement for distances in the United States, the United Kingdom, Liberia and UK and US oversees territories.
Miles are longer than kilometres as a kilometer is equivalent to only 0.621371 miles.
1 mile is therefore;
= 1/0.621371
= 1.609344 kilometers.
point slope of the line equation, slope=4, passing through(7,2)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
apply your data
y-2 = 4(x-6)
Answer:
y−2= −2(x−7)
Step-by-step explanation:
khan academy says its right
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.
The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.
So,
[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]
When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,
[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]
When [tex]t=9[/tex] so,
[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]
nd
[tex]a(9)=-32[/tex]
Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
To know more about the equation
https://brainly.com/question/12788590
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The sum of the interior angles of a regular nonagon (9-gon) is equal to
The sum of the interior angles is 1260°
9. Write a polynomial function in factored form with zeros at -2, 5, and 6.
F(x) = (x + 2)(x - 5)(x - 6)
+
F(x) = x3 - 9x2 + 8x + 60
O
f(x) = (x - 2)(x + 5)(x + 6)
Flx) = x3 + 9x2 + 8x - 60
Answer:
f(x) = ( x+2)(x-5)(x-6)
Step-by-step explanation:
We can write the equation with zeros at b1,b2,b3
f(x) =a( x-b1)(x-b2)(x-b3) where a is a constant and b1 b2 b3 are the zeros
f(x) = a( x- -2)(x-5)(x-6)
f(x) = a( x+2)(x-5)(x-6)
We can choose a since we are not given any more information about the function. Let a = 1
f(x) = 1( x+2)(x-5)(x-6)
f(x) = ( x+2)(x-5)(x-6)
limit chapter~ anyone can help me with these questions?
please gimme clear explanation :)
Step-by-step explanation:
I(S) = aS / (S + c)
As S approaches infinity, S becomes much larger than c. So S + c is approximately equal to just S.
lim(S→∞) I(S)
= lim(S→∞) aS / (S + c)
= lim(S→∞) aS / S
= lim(S→∞) a
= a
As S approaches infinity, I(S) approaches a.
Which of the following is the function for the graph below and shows the end behavior of the function as x>-00?
Answer:
A
Step-by-step explanation:
I just used a graphing calculator.
Just type in all the functions and pick the graph and function pair that match the picture.
I hope this helps!
pls ❤ and mark brainliest pls!
Assuming you want x to approach negative infinity, you have the correct answer. It is choice A.
=====================================================
Explanation:
The root x = -2 leads to the factor x+2. That means the answer is between A and B.
As x approaches negative infinity, i.e. as we move to the left, we're going down the red curve and y = f(x) is going to approach negative infinity as well.
In terms of symbols, we'd write [tex]x \to -\infty, \ f(x) \to -\infty[/tex]
Informally, we could say "it falls to the left" as a way to describe this left end behavior.
I tried something similar to the notation of (x+2)^7, etc, did not get close at all, how would this be solved?
[tex] 24 = 3 \cdot 2^3 [/tex]
[tex]96=3\cdot 2^5 [/tex]
[tex] 384=3\cdot2^7[/tex]
hence it is a geometric progression, with a multiplied constant [tex]3[/tex]
Sum of G.P. of [tex]n[/tex] terms [tex] S_n = a\dfrac{r^n-1}{r-1}\quad \text{where } r \text{ is the common ratio and } a \text{ is the first term} [/tex]
and [tex] r=-2^2=-4[/tex]
Note that the constant should be separated, so
[tex] a= -8 [\tex]
after plugging the values, you'll get the answer
[tex] -26216 \times 3 [/tex]
which option C
Answer:
C
Step-by-step explanation:
-24+96-384+...
a=-24
r=96/(-24)=-4
[tex]s_{7}=a\frac{1-r^7}{1-r} \\=-24\frac{1-(-4)^7}{1-(-4)}\\=-24\frac{1+4^7}{1+4} \\=-24\frac{1+16384}{5} \\=-24\frac{16385}{5} \\=-24 \times 3277\\=-78648[/tex]
Find the sum of the given series up to the 100th term: 3 + 8 + 13 + 18 +......
a) 25,100
b) 25,050
c) 25,200
d) 25,300
Answer:
B = 25050
Step-by-step explanation:
S=n/2(2a1+(n-1)d)
A customer can pay GH➣900.00 per month on a mortgage payment.
Interest rate is 12% annually compounded continuously, and mortgage
terms is 15 years. Determine the maximum amount the customer can pay within
the period.
Answer:
$74,748.11
Step-by-step explanation:
In order to make use of the amortization formula, we need to find the equivalent monthly interest rate.
When 12% interest is compounded continuously, the annual multiplier is ...
e^0.12 ≈ 1.127497
The equivalent multiplier when the interest is compounded monthly is the 12th root of this,
(e^0.12)^(1/12) = e^0.01 ≈ 1.0100502 = 1 + r
___
The amortization formula tells us that monthly payment amount A will pay off principal P in n months:
P = A(1 -(1 +r)^-n)/r = $900(1 -1.0100502^-180)/0.0100502
P = $74,748.11
The customer can pay off a 12% loan of $74,748.11 at the rate of $900 per month for 15 years.
x + y + z = -6 -2x – 2y – 2z = 12 5x + 5y + 5z = -30 find x y and z please
Answer:
x = s, y = t, z = -6 -s -t
Step-by-step explanation:
These are dependent equations. For some values s and t, the solution is ...
x = s, y = t, z = -6 -s -t
Solve for 2 in the diagram below.
45°
150
42°
ea
Stuck? Watch a video or use a hint.
Step-by-step explanation:
Hi, there!!!
It's so simple..
Let me clear you, alright.
Here, On the fig line, OE is just a confusing line. If you look it in simple way,
AB and CD are interested at a point O.
so, angle AOD and angle COB are equal.{ because they are vertically opposite angle}
so, angle AOD= angle COB
or, 4x°=45°+15°
or, 4x°= 60°
or, x= 60°/4
Therefore, x= 15°.
Hope it helps....
Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have? Assume that the planes cutting the prism do not intersect anywhere in or on the prism. EXPLAIN PLS
Answer:
36
Step-by-step explanation:
Each cut creates a triangular face where the corner used to be. That face adds three edges to the figure. The 8 cuts add a total of 8×3 = 24 edges to the 12 edges the prism already had.
The new figure has 12+24 = 36 edges.
Look at picture pleasee
Answer:
Point A.
.................
Answer:
It is the Picture B.
Step-by-step explanation:
Rewrite to make true: The sequence 8,8,8,8,8, ... is neither arithmetic or geometric.
Answer:
8,8,-8,-8,8, ... is neither arithmetic nor geometric
Step-by-step explanation:
8,8,-8,-8,8, ...
This sequence is neither arithmetic nor geometric
We could also write
8,8,8,8,8, ... this is geometric since we multiply by 1 each time
A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
(c) Suppose that the sample size is n = 400 rather than n = 100, what are the values for the mean and standard deviation when n=400?
Does the change in sample size affect the mean and standard deviation of the sampling distribution of p? If not, explain why not.
i. When the sample size increases, the mean increases.
ii. When the sample size increases, the mean decreases.
iii. When the sample size increases, the mean stays the same.
iv. The sampling distribution is always centered at the population mean, regardless of sample size.
v. When the sample size increases, the standard deviation increases.
vi. When the sample size increases, the standard deviation decreases.
Answer:
3.25
Step-by-step explanation:
Solve the inequality -3 < 3/2(2-x)<5
Answer:
Step-by-step explanation:
Find interval of increase and decrease of f(x) = 8 sin(x) + cot(x), −π ≤ x ≤ π
Answer:
Given f(x)=8sin(x)+cot(x) for -pi<x<pi :
Note that:
f'(x)=8cos(x)-csc^2(x)
f''(x)=-8sin(x)+2csc^2(x)cot(x)
(1) To find the intervals where f(x) is increasing or decreasing we use the first derivative test; if the first derivative is positive on an interval the functio is increasing, negative implies the functio is decreasing.
Using technology we find the approximate zeros of f'(x) on -pi<x<pi :
x~~-1.443401
x~~-.3752857
x~~.3752857
x~~1.443401
Plugging in test values on the intervals yields:
f'(x)<0 on (-pi,-1.443401)
f'(x)>0 on (-1.443401,-.3752857)
f'(x)<0 on
Plz correct me if wrong
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
4th option
Step-by-step explanation:
The relationship is linear,
putting the value of x in the right side of the equation of option 4, you'll get the value of the left side
putting, x=1
y+4=-1/2(x-1)
y=-1/2(1-1)-4
y=-4
putting, x=7
y+4=-1/2(7-1)
y=-1/2(6)-4
y=-6/2-4
y=-3-4
y=-7
An investigator claims, with 95 percent confidence, that the interval between 10 and 16 miles includes the mean commute distance for all California commuters. To have 95 percent confidence signifies that
Answer:
Hello the options to your question is missing below are the options
A) if sample means were obtained for a long series of samples, approximately 95 percent of all sample means would be between 10 and 16 miles
B.the unknown population mean is definitely between 10 and 16 miles
C.if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians
D.the unknown population mean is between 10 and 16 miles with probability .95
Answer : if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians ( c )
Step-by-step explanation:
95% confidence
interval = 10 to 16 miles
To have 95% confidence signifies that if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians
confidence interval covers a range of samples/values in the interval and the higher the % of the confidence interval the more precise the interval is,
The image of (-2, 7) reflected across the x-axis is
2
(-2,-7)
b)
(2,7)
(2, -7)
d)
(-2, 7)
Answer:
(-2,-7)
Step-by-step explanation:
because it's reflected across the x-axis, only the y-intercept will change
Answer:
(-2,-7)
Step-by-step explanation:
All you have to do is draw a graph and draw the point across the x axis in the same row and same distance from the x axis.The distance is 7 so you just change it to -7.
Find the value of X.
Answer:
[tex]the \: two \: angles \: are \: equal \: so \: this \\ \: triangle \: is \: issosceless \\ then3x - 6 = 12 \\ 3x = 18 \\ x = \frac{18}{3} \\ x = 6 \\ thank \: you[/tex]
what is the volume of a rectangular prism with length 5cm, width 3cm and height 4cm?
Answer:
60 cm^3
Step-by-step explanation:
The equation to find the volume for a rectangular prism is length times width time height.
So just multiply 5 times 3 times 4
V=(5)(3)(4)
V=60
Answer:
60cm^3
Step-by-step explanation:
w=3cm
h=4cm
l=5cm
[V=whl]
V=3×4×5=60
Find a 122 of the sequence 5, 8, 11, ....
Answer:
B.368
Step-by-step explanation:
Answer:
Step-by-step explanation:
(2X²+3X-1)+(X²-2X+3)
Answer:
3x^2+x+2
Step-by-step explanation:
Let's simplify step-by-step.
2x2+3x−1+x2−2x+3
=2x2+3x+−1+x2+−2x+3
Combine Like Terms:
=2x2+3x+−1+x2+−2x+3
=(2x2+x2)+(3x+−2x)+(−1+3)
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
4x + 8 + 3(x - 2) + 3x ,combining liked terms
Answer:
4x+8 +3x - 6 + 3x
10x + 8 - 6
10x + 2
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Find the 5th term for the following recursive formulas/sequences. SHOW YOUR WORK!!
c. 1/6, 2/3, 8/3, . . .
Answer:
128/3
Step-by-step explanation:
The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3
Answer:
128/3
Step-by-step explanation:
1/6, 2/3, 8/3, . . .
1/6, 4/6, 16/6
We are multiplying by 4 each time
1/6 *4 = 4/6
4/6 * 4 = 16/6
This is a geometric sequence with the common ratio of 4
an = a1 (r)^(n-1)
an = 1/6 (4) ^(n-1)
Let n = 5
a5 = 1/6 (4)^(5-1)
a5 = 1/6 (4)^4
a5 = 1/6 * 256
a5 =128/3