Answer:
351520000
Step-by-step explanation:
351520000
Explanation:
There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).
Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.
Hence, by the multiplication principle, the total different number of letter permutations is
26
×
26
×
26
=
17576
and the total number of digit permutations is
10
×
10
×
10
=
1000
But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination
6
C
3
=
6
!
(
6
−
3
)
!
3
!
=
20
So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.
Therefore by the multiplication principle, the total possible different number plates is
17576
×
1000
×
20
=
351520000
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Answer:
your answer is 4+3
Step-by-step explanation:
regression and data analysis
Answer:..
Step-by-step explanation:..
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS
Question 1-2
1
Tom walks 1 mile in
of an hour. Kyle walks 4 miles in
4
of an hour.
5
Who walks at a faster speed, Kyle, Tom, or neither?
Answer:
460 feet
Step-by-step explanation:
Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month?
Answer:
.05x+50=55
100 minutes
Step-by-step explanation:
simplify
.05x=5 (subtract 50 on both sides)
5/.05=x
100=x
she can call for 100 minutes
A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?
The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.
Since the particle is at the origin when x(t) = 0, we have:
[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]
Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.
Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).
Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):
v(t) = dx/dt
[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]
Now, we can find the velocity at t ≈ 2.944:
[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]
v(t ≈ 2.944) ≈ 16.885
So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
learn more on velocity :
https://brainly.com/question/29290259
#SPJ4
What is the name of the property illustrated below?
3(x+4)=(x+4)+3
a :associative property of addition
b :commutative property of addition
c: associative property of multiplication
d: commutative property of multiplication
Step-by-step explanation:
I think you made a mistake with the equation.
because that property, that you presented, did not exist.
but
3(x+4) = (x+4)3 exists
and it is the commutative property of multiplication (a×b = b×a).
PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotenuse in your answer. (2 points)
Known side: ____________________
Unknown side: ___________________________
4. What trigonometric ratio would you use to find the distance from the base of the tower to your keys? Identify your choice, and then calculate the distance. (4 points: 1 point for the ratio, 2 points for shown work, 1 point for the answer)
Trigonometric ratio (name): ___________________________
Calculation (Show your work):
5. While you're at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement. (4 points: 1 point for the method, 2 points for shown work, 1 point for the answer)
6. Confirm that your answer to question 5 is correct using the Pythagorean Theorem instead of trig ratios. (3 points)
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
PLS HELP NOWWWWWWWWWWWW
Answer:
is no solution an answer choice cause thats what i got
Step-by-step explanation:
Someone please help me i need to finish this by tonight.
Answer:
Step-by-step explanation:
All changes saved
D
4. Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing
what a remainder is in your own words. What is the remainder when 76 is divided by 3?
Answer:
You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.
↑
the arrow pointing shows what the remainder means
remainder is the one which is down
Which in fraction reprecent 80%
Answer:
answer is 4/5
Find the rate of depreciation if you bought a car for $20,000 and, after 4 years, it is worth $12,800. Round to the nearest hundredth.
Use the depreciation model y=a(1−r)t.
Answer:
I think he answer might be 13,000Step-by-step explanation:
if the number is higher then 5 it goes over to the tenth
Identify the y-intercept of this line. b =
-
Answer:
b = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
Here the line crosses the y- axis at b = 4
1) Given any logarithmic equation of the form logo x = y, what is the restriction on "x" and why?
Answer:
x=(h)
Step-by-step explanation:
There are 90 seats on a train. 63 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
70%
Step-by-step explanation:
Did you mention that multiplication is a shortcut for repeated addition?
Step-by-step explanation:
yes, in a similar way as division is a shortcut for repeated subtraction.
you do know, that you normally have to add the points win in a game, right ?
so, your score grows by 200 points each time you score.
that means
200
200
200
...
200
what do you think you do to get the total ? you add all the points.
you don't multiply them, because e.h 200×200 would be the shortcut of adding 200 for 200 times.
but you did not have 200 hits, you only got 12 hits.
so, you either do the effort of adding 200 12 times, or you simply multiply 200 by 12 (as this is the mentioned shortcut).
and you don't just add 12 to 200. that would give you only 212. and you did not earn 12 points to add. you earned 12 times 200 points to add.
that is how multiplication works and helps with additions.
Answer:
its yes
bc yeah just......do it
I need help with my math
Answer:
Find the point of intersection of the graphs of the equations.
Step-by-step explanation:
that's the answer
keep on leaning math
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
This is because of the law of indices which says:
[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]
So, if we have:
[tex]\sqrt{n}[/tex]
Then the following will be true because of this math law:
[tex]n^{\frac{1}{2} }[/tex]
Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
#Help plz
#No spam -_-||
#Quality answer needed
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
find the value of 3a + 4b when a=19 and b=9
Answer:
3x19+14x9
183
Step-by-step explanation:
PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)
Does the parabola open up or down? How do you know? (2pts)
What is the maximum or minimum value? How do you know? (2pts)
What are the x-intercepts? (2pts)
What is the y-intercept? (1pt)
What is the vertex? (2pt)
9514 1404 393
Answer:
a) a=1, b=4, c=-5
b) opens up; a > 0
c) minimum = -9, the y-value of the vertex
d) x = -5, 1
e) y = -5, the value of c
f) (-2, -9)
Step-by-step explanation:
A graph drawn by a graphing calculator can answer all of these questions quickly and easily.
__
a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:
f(x) = ax^2 +bx +c
f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5
__
b) The parabola opens up. This is because the value of 'a' is greater than zero.
__
c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...
f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)
Your function can be put into this form:
f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square
f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).
The y-value of the vertex is -9, the minimum value of the function.
__
d) Solving f(x) = 0, you get ...
(x +2)^2 -9 = 0
(x +2)^2 = 9 . . . . . . . . add 9
x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2
x = -2 ±3 = {-5, 1} . . . . . the x-intercepts
__
e) The y-intercept is f(0) = c = -5.
__
f) The vertex was found in part (c) to be (-2, -9).
ASAP I NEED HELP 26,244π cubic centimeters. Find the radius of the ball.
Answer:
r = 27 cm
Step-by-step explanation:
[tex]Volume \ of \ ball = \dfrac{4}{3}\pi r^{3}\\\\\\\dfrac{4}{3}\pi r^{3}= 26244\pi \\\\\\r^{3}=\dfrac{26244*\pi *3}{4*\pi }\\\\\\r^{3}= 6561*3\\\\r^{3} = 3*3*3*3*3*3*3*3*3\\\\\\r=\sqrt[3]{3*3*3*3*3*3*3*3*3}=3*3*3\\\\r = 27[/tex]
the speed s of a moving object is inversely proportional to the time t travelled is written as
Answer:
A r = kt
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given: -3x + y = 1.
Write the equation in general form Ax + By + C =0.
3x - y = -1
3x - y + 1 = 0
-3x + y - 1 = 0
A line passes through the point (-6, -2) and has a slope of -5/2
Answer: y = -5/2 -17
Step-by-step explanation: First put the equation in point slope form
Y-y1 = m(x-x1)
y + 2 = -5/2(x+6) then simplify to slope int. form
Y= mx + b
Y = -5/2x-17
Answer:
y = (-5/2)x - 17
Step-by-step explanation:
Slope Intercept Formula:y = mx + b
m = slope
b = y-intercept
Plugin Information:
y = mx + b
Slope = -5/2
y = (-5/2)x + b [tex]\longmapsto\\[/tex] Input x and y values from given point
-2 = (-5/2)-6 + b
Simplify, Solve for b:-2 = (-5 * -6)/(2) + b
-2 = 30/2 + b
-2 = 15 + b
b = -2 - 15
b = -17
Rewrite Equation:y = mx + b
m = -5/2
b = -17
y = (-5/2)x - 17
-Chetan K
-Chetan K
7. answer correct for brainliest
Answer:
4 7/20
Step-by-step explanation:
8 1/4 - 3 9/10
get a common denominator of 20
8 1/4 *5/5 - 3 9/10 *2/2
8 5/20 - 3 18/20
borrow 1 from the 8 in the form of 20/20
7 +20/20 + 5/20 - 3 18/20
7 25/20 - 3 18/20
4 7/20
Answer: 4.35
Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.
The perimeter of an equalateral triangle is 17cm less than the perimeter of a rectangle. The length of one side of the triangle is 5cm. Construct an equation for the perimeter of tge rectangle
Answer:
P=5x3+17 P=32
Step-by-step explanation:
memona has a 6kg sack of rice and some empty bags. she fills each bag with 475 grams of rice from the sack. how many bags can memona completely fill with rice?
Answer:
1500
Step-by-step explanation:
1000×6÷4
250×6
1500
