Answer:
I believe it is 10110
Step-by-step explanation:
hope this helps
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?
A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for someone to attend 4 events? Write and solve an equation to find the answer
Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is
[tex]y=28+4x[/tex]
Substitute x=4 in this equation.
[tex]y=28+4(4)[/tex]
[tex]y=28+16[/tex]
[tex]y=44[/tex]
Therefore, total cost of 4 events is $44.
Please answer the following problems as a fraction:
1. - 9/10 + 7/10 =
2. - 1/2 — 2/5 =
Answers:
1. - 9/10 + 7/10 =-0.2
2. - 1/2 - 2/5 =-0.9
Have a beautiful day! v(⌒o⌒)v♪
geometry work find the value of b
Answer:
63
Step-by-step explanation:
I know I did it
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
Answer:
y = -5/3 * x - 40/3
Step-by-step explanation:
A perpendicular line has an opposite and a reciprocal of the slope.
Your equation should be:
-5y = -3x +6
Divide all parts by -5.
y = 3/5x - 6/5
Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.
Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).
In put the y and x coordinates like this:
y - 0 = -5/3(x - (-8)
Start solving the equation.
y - 0 = -5/3(x + 8)
y - 0 = -5/3 * x - 40/3
y = -5/3 * x - 40/3
This is your equation.
y = -5/3 * x - 40/3
(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)
9514 1404 393
Answer:
5x +3y = -40
Step-by-step explanation:
When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.
Here, that means the equation ...
3x -5y = constant
becomes
5x +3y = new constant
The value of the new constant is found by putting the given point coordinates in the expression on the left:
5x +3y = 5(-8) +3(0) = -40
The equation of the perpendicular line is ...
5x +3y = -40
19. Find 3 consecutive integers such that twice
the least integer is 12 more than the greatest
integer.
Answer:
et's start by defining the three consecutive integers.
.
If x represents the least of the three, then the next consecutive integer is x+1 and the
next consecutive integer is 1 more than that ... or x + 2
.
So the three consecutive integers are x, x+1, and x+2.
.
Twice the least integer is, as you correctly wrote, 2x.
.
12 more than the greatest integer is x+2 + 12 = x + 14
.
Since these two amounts must be equal, you can write:
.
2x = x + 14
.
Now you need to get rid of the x on the right side so that you end up with all the terms
containing x on one side of the equation and everything else on the other side. You can
get rid of the x on the right side by subtracting x from the right side. But if you subtract
something from the right side, you must also subtract it from the left side to keep the
equation in balance. So subtract x from both sides. When you do that, the x disappears
from the right side and the left side becomes 2x minus x which is just x.
.
So the equation is reduced to:
.
x = 14
.
If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the
three consecutive integers are 14, 15, and 16.
.
Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more
than the greatest integer which is 16? Yes it is, so the problem checks.
.
You were on the right track, but you just needed to know the difference in the three integers
was that they were x, x+1, and x+2. Hope this helps to show you how you could work the
problem through to get the final answer.
Step-by-step explanation:
What is the slope and y-intercept of y=2x+3 and why?
A small kite starts 3.7meters off the ground and rises at 6.2 meters per second. A large kite starts at 20.65 meters off the ground and drops at a rate of 5.1 meters per second. After how many seconds are the kites at the same height? Write and solve an equation.
Answer: The kites are at the same height at 15.41s
Step-by-step explanation:
Step 1
Let t represent the time in seconds.
The equation that represents when both small and large kite are at the same height is given as
3.7 + 6.2t =20.65 +5.1t
Step 2----- Solving
3.7 + 6.2t =20.65 +5.1t
Taking like terms and subtracting
6.2t-5.1t = 20.65- 3.7
1.1t =16.95
t = 16.95/1.1
t=15.41s
The kites are at the same height at 15.41s
Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold.
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
Answer:
Part A: The higher the temp the more ice cream sold.
Part B
Step-by-step explanation:
Which graph represents a function?
Answer:
1
Step-by-step explanation:
it is right ok stop now
Somebody help with bothhh
Step by step please
9x^2 -3х + 16 = 6
Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
Determine whether each triangle with sides of 28 yd, 195 yd, and 197 yd is a right triangle
Answer:
yes it is
Step-by-step explanation:
to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared
Can someone explain this to me if you can.
Answer: I wish I can help, but I don't know how to explain it
What is the value of the expression 5ab-2c, where a =2, b=3 and c=0?
Answer:
30
Step-by-step explanation:
5*2*3 - 2*0 = 30 - 0 = 30
Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.
Answer:
when they reach each other Elana would have gone 16 miles for 2 minutes And jada would for a minite to reach elana
Step-by-step explanation:
Help me with this question
Answer:
A) SSS ( I think ) Not the best at these.
What is the y-intercept of the function y = 3x + 33 ?
Answer:
33
Step-by-step explanation:
Answer:
it is 33 because you start off at 0 with 33
Step-by-step explanation:
How to find vertex form with vertex: (3,6) and y intercept: 2
Answer:
f(x) = - ⁴/₉(x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
So for vertex (3, 6) it will be:
f(x) = a(x - 3)² + 6
y intercept: 2 means f(0) = 2
f(0) = a(0 - 3)² + 6
2 = a(-3)² + 6
2 -6 = 9a + 6 -6
-4 = 9a
a = ⁻⁴/₉
Therefore:
The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is
f(x) = - ⁴/₉(x - 3)² + 6
The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The vertex: (3,6) and y-intercept: 2
As we know,
The parabola equation:
f(x) = a(x - h)² + k
Here (h, k) is the vertex of the parabola and a is the leading coefficient.
f(x) = a(x - 3)² + 6
f(x) = 2 at x = 0
2 = a(0 - 3)² + 6
a = -4/9
f(x) = -4/9(x - 3)² + 6
Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
Please help Im not good at this stuff and i just need some help please, it would very appreciated
26=6k+8-6+2k
Need ASAP
Answer: k = 3
Step-by-step explanation:
Answer:
k=3
Step-by-step explanation:
26=6k+8-6+2k
combine all common integers from the same side, (8-6) and (6k+2k).
8-6=2
6k+2k=8
Which now translates the equation to 26=8k+2.
26=8k+2
continue by moving the (2) to the other side, do so by subtracting 26-2.
26-2=24
24=8k
Lastly, move the 8 to the other side of the equation by dividing 24/8.
24/8=3
Therefore, k=3
Please help me I will give you brainleist if I figure out how
Select the correct answer. Which equation represents the vertical line passing through (1,-9)? A x=-9 B. X= 1 C. y=-9 D y=1 Reset
Answer:
x = 1
Step-by-step explanation:
the vertical line is passing through only the x-axis and not the y axis. So the graph is a x = ? All you e have to to is to look for the x coordinate of the point the vertical line is passing through which is 1 and so the answer is x = 1.
Please mark brainliest. Thanks!!!!
x=1 represents the vertical line passing through (1,-9) .
What is vertical line ?A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.
In a vertical line x-coordinate remain constant, only y-coordinate changes.
The vertical lines are parallel to the y-axis and are perpendicular to the horizontal lines. On a vertical line, all the points on the line have the same x-coordinate.
Here x=1 is the only vertical line which passes through (1,-9) So option B is correct.
Learn more about vertical line from here :
https://brainly.com/question/13425491
#SPJ5
2/5(5 + x) = 8
What is x if the equation equals 8
Answer:
x=15
Step-by-step explanation:
Kyle has 2 3/4 pounds of flour. He wants to divide the flour into 3 equal-sized
bags. How many pounds of flour are in each bag?
Answer:
11/12
Step-by-step explanation:
All you do is make 2 3/4 a improper fraction and then divided the improper fraction by 3 to get 11/12
Hope it helps :D
What is the opposite of each number?
Drag the answer into the box to match each number.
Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa
Step-by-step explanation:
so 0.005 would be -0.005
Answer:
the opposite of 0.005 is -0.005
the opposite of 1/2 is -1/2
the opposite of 0 is 0
the opposite of -2 is 2
Step-by-step explanation:
The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?
Answer:
80 is the breadth and 140 is the length
Step-by-step explanation:
Find the total interest:
$520 at 2%
for 6 years
The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.
10.4 x 6 = 62.4
The total interest for 6 years is $62.4
your welcome
I'm confused on how to do that?
Answer:
(8, 0), (12, 4), (16, 8)
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(20, 12)
(4, - 4)
m = [tex]\frac{-4-12}{4-20}[/tex] = 1
y - 12 = (1)(x - 20)
y = x - 8
y = 8 - 8 = 0
y = 12 - 8 = 4
y = 16 - 8 = 8