Answer:
A. 0.3204
B. 0.59049
Step-by-step explanation:
Data:
The total number of combinations:
= [tex](10)^5=100000[/tex]
A.
The number of ways = [tex]10*9*8*7=30240[/tex]
[tex]\frac{30240}{100000}[/tex]
The probability for an event P taking place = [tex]=0.3024[/tex]
B.
Number of ways to arrange the subjects = [tex](9)^4=59049[/tex]
[tex]\frac{59049}{100000}[/tex]
The probability = [tex]=0.59049[/tex]
what is the complete factorization of the polynomial below?
x^3 - 4x^2 + x - 4
Answer:
[tex](x-4)(x^2+1)[/tex]
Step-by-step explanation:
[tex]x^3-4x^2+x-4[/tex][tex]=x^2(x-4)+1(x-4)[/tex][tex]=(x-4)(x^2+1)[/tex]PLEASE HELP, URGENT!!!!
Find M
Answer:
Step-by-step explanation:
cos^-1(√(111))/2√(37) = 30°
m<C = 30°
can you please help me I pay you £50
Jarrett Webster leased a sports car for $299.50 per month for
60 months. He paid a deposit of $250.00, a title fee of $95.00,
and a license fee of $220.00. What is the total least cost?
Answer: 15.095$
Step-by-step explanation:
in the triangle below CFED is a rectangle. If the measure of CFD= 4x and the measure of DFE is 5x, find the value of x
Find the value of x. Geometry Magic 20 set 3
Answer:
The value of x is 64.
Step-by-step explanation:
The base angles of an isoceles triangle are congruent.
[tex]x + 58 + 58 = 180[/tex]
[tex]x + 116 = 180[/tex]
[tex]x = 64[/tex]
solve this system using the Elimination method
-4x - 2y =-18 x + 3y = 8
Answer:
Elimination:
-4x - 2y = -18 -4x - 2y = -18
x + 3y = 8 | ×4 ------> 4x + 12y = 32 +
10y = 14
y = 1,4
x + 3y = 8
x + 3(1,4) = 8
x + 4,2 = 8
x = 3,8
Write a recursive formula for the sequence 7, 4, 1, -2, -5, .... Then find the next term.
A. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = -8[/tex]; 7
B. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = 7[/tex]; -8
C. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = -3[/tex]; 22
D. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = 7[/tex]; -8
Answer:
option B
Explanation:
Recursive Formula: aₙ = aₙ₋₁ + d
Given Sequence: 7, 4, 1, -2, -5,....
Identify the common difference:
second term - first term
4 - 7 = -3 or 1 - 4 = -3 or -2 - 1 = -3
So formula:
[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]
Find next term:
[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]
Find the total amount
$1580 is compounded daily at a rate of 10% for 7 years. Let 1 year = 365 days.
Answer:
$3181.42
Step-by-step explanation:
The balance of an account earning compound interest is given by the formula ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r for t years, compounded n times per year.
__
You have P=1580, r=0.10, n=365, t=7, so the balance is ...
A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42
_____
Additional comment
Your graphing calculator may have a financial function that will calculate this for you.
Two events can have a strong, weak, or no correlation.
True or false
PLEASE ANSWER ALOT OF POINTS
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations or lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
Part A 1 solution
Part B 1,4
Answer:
Part A : It has one solution because the lines intersect at one point
Part B : The solution is the points where the lines intersect
Which is (3,4)
30% of 210 is what number?
multiply 30% by 210
210 x 0.30 = 63
answer: 63
X+8
What is the solution of 5x=T > 0?
XS-8 Or X2 }
L
X <-8 or X › 5
-8≤x<5
-8
PLEASE HELP
Answer:
but good luck with that man
Really tired and need help 100 points
Answer:
purple
Step-by-step explanation:
<~~• ¥ Pls HELP me!! ¥ • ~~>
Answer:
A = 16
Step-by-step explanation:
Formula b*h/2
b =8
h =4
so
A= 8*4/2
A = 16
7. If VS = 12 meters, find the length of UT.
=
R
127°
V
S
ogmotor
antolles
W
loonsleder
U
T
The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr
Given the following:
Radius = 1/2(VS) = 1/2(12) = 6 meters
∅ = 90 - (180 - 127) = 37°
Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters
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50 points
Use the table to identify values of p and q that can be used to facto
x2 + x - 12 as (x + p)(x + 4).
NEED HELP ASAP
Answer:
-3, 4
Explanation:
x² + x - 12
factorize
x² + 4x -3x - 12
take out common terms
x(x + 4) -3(x + 4)
collect into groups
(x-3)(x+4)
p = -3, q = 4
Answer:
C. -3 and 4
Step-by-step explanation:
In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.
The only pair of numbers in the table that sum to 1 are:
p = -3 and q = 4
Therefore, the solution is option C.
HELP PLEASE ILL MARK BRAINLIEST WHEN I CAN
Answer:
216 degrees
Step-by-step explanation:
To convert radian measure to a degree, substitute 180 degrees in for pi.
6(180)/5=216 degrees
Therefore, your answer is 216 degrees
a circle has a diameter of 8 m. what is the circumference? use 3.14 for pie
The velocity of v in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop h in feet and the velocity v° in feet per second of the coaster at the top of the hill by the formula v°=[tex]\sqrt{v^{2}-64h[/tex] . What velocity must a coaster have at the top of a 50-foot hill to achieve a velocity of 57 feet per second.
The velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
What is Velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity(v) in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop(h) in feet and the velocity(v°) in feet per second of the coaster at the top of the hill by the formula v°=√(v²-64h).
Therefore, the velocity of the coaster at the top should be,
[tex]v^o=\sqrt{(v^2-64h)}\\\\v^o=\sqrt{[57^2-(64\times 50)]}\\\\v^o=\sqrt{49}\\\\v^o = 7\rm\ feet/second[/tex]
Hence, the velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
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Four athletes from the Republic of Korea competed in a team wheelchair race at
the Paralympic Games. The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
How it many seconds did it take the fourth team member to complete his part of
the race?
The number of seconds taken by the fourth team to complete his part of the race is 45.116 seconds.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Four athletes from the Republic of Korea competed in a team wheelchair race at the Paralympic Games.
The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
Then the number of the seconds is taken by the fourth team will be
Let x be the number of the second taken by the fourth team.
Then we have
x + 46.685 + 48.869 + 49.33 = 190.729
x + 144.884 = 190.729
x = 45.116
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Answer:
x= 45.845
Step-by-step explanation:
190.729-144.884
find x
K (7x + 217
47
M
Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16
Let h = number of hours to bike 165 mi. Let m = number of miles biked in 7 hr. Which proportion can be used to determine the value of h?
Answer:
[tex] \frac{m}{h} = \frac{165}{7} [/tex]
As the guest was sneaking away, the groundskeeper was 4 feet (or 48 inches) away and pushed an 84-inch ladder onto the suspect. The very top of the ladder hit the guest on the top of the head. Find the height of the guest in inches the convert to feet.
The height of the guest in inches will be 68.93 and in feet is 5.7.
What is the Pythagorean theorem?It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
By applying the Pythagorean theorem:-
P² = H² - B²
P² = 84² - 48²
P² = 4725
P = √4725
P = 68.73 inches
Now the height in feet will be 68.73 / 12 = 5.7 feet.
Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.
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ΔABC ο ΔQRS
Find the missing side length, m.
Answer:
m=5
Step-by-step explanation:
If the triangles are similar, the ratios of the side lengths are the same
AB AC
----- = -------
QR QS
6 3
---- = -----
10 m
Using cross products
6m = 3*10
6m = 30
Divide each side by 6
6m/6 = 30/6
m = 5
If A is a prime factor of 36, and B is a prime factor of 15, what is the greatest possible difference between A and B?
Answer:
3
Step-by-step explanation:
Prime factorization
36 = 3 * 3 *2 * 2
15 = 3 * 5 The biggest difference is 5 -2 = 3
1. Let u (1.-3,2), v= (-1.4.2). Then find b) a unit vector in the same direction of 4v.
4v points in the same direction as v, so all you need to do is normalize v.
Simply multiply it by the reciprocal of its magnitude:
[tex]v = (-1, 4, 2) \implies \|v\| = \sqrt{(-1)^2 + 4^2 + 2^2} = \sqrt{21}[/tex]
[tex]\implies \dfrac{v}{\|v\|} = \dfrac{(-1,4,2)}{\sqrt{21}} = \left(-\dfrac1{\sqrt{21}}, \dfrac4{\sqrt{21}}, \dfrac2{\sqrt{21}}\right)[/tex]
hehe i finished also what is 856 x 925? i'ma take a nap now
Answer:
791,800
Step-by-step explanation:
Answer: 791800
Step-by-step explanation:
A shoreline is eroding at a rate of 1/3 foot per 2 months how many feet are eroding this year
Answer:
2 feet
Step-by-step explanation:
The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.
please help due soon
Answer:
$4742.10
Step-by-step explanation:
Exponential depreciation formula :-
, where y is the value of good after t years , r is rate of depreciation and A is the initial value.
Given : A= $20800 ; r=10.75%=0.1075
The equation models this situation:
Then, the value of car after t=13 years :-
Hence, the value of car after 13 years = $4742.10
