The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!.Here, n is the number of objects.
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.
The letters D ,Z, G and Z and the digit 8 will not be used. So, there are 23 letters and 9 digits that will be used. The letters can be repeated.[tex]\text{Each code=Two latter + One digit}[/tex]
The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.
One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,
[tex]n=23\times23\times9\times23\\n=109503[/tex]
Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
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Find the value of sin C rounded to the nearest hundredth, if necessary.
20
E
11
D
Help PLEASE
Answer:
[tex]0.55[/tex]
Step-by-step explanation:
[tex]\displaystyle \sin C=\frac{opposite}{hypotenuse}=\frac{11}{20}=0.55[/tex]
The Value of x in A is _____, and value y in B is _____.
What must be the measure of
Answer:
∠D = 90°
∠C = 80°
Step-by-step explanation:
∠D = 90° (right angle)
All right angles = 90°
∠C = 80° (sum of all angles = 360°)
110 + 80 + 90 + ∠C = 360°
280 + ∠C = 360
∠C = 80°
Answer:
∠D = 90°∠C = 80°
Step-by-step explanation:
∠D = 90° (right angle)All right angles = 90°∠C = 80° (sum of all angles = 360°)110 + 80 + 90 + ∠C = 360°280 + ∠C = 360∠C = 80°
A solution to 8 = -x + 10 is 2
A solution to 2 = 2x + 4 is 8
A solution to -x + 10 = 2x + 4 is 8
A solution to -x = 10 = 2x + 4 is 2.
Answer:
"A solution to 8 = -x + 10 is 2" is the only correct option.
On her paper route, Carla rides her bicycle 51.8 miles during a 14-day period. She rides th
same distance each day. How many miles does she ride each day on her paper route?
Answer:
She rides 3.7 Miles each day
Step-by-step explanation:
51.8 / 14 = 3.7
518 / 14 = 37 but you put a point inbetween 3 and 7 because the 8 in the original answer is in the tenths.
A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?
Answer:
12 eggs - 3 eggs = 9 eggs.
Step-by-step explanation:
Hope this helps
Answer:
3 are unbroken
Step-by-step explanation:
All but three break means 3 did not break
HELP PLEASE!!!
A composite figure is a _____.
A. trapezoid
B. figure made up of 2 or more basic shapes
C. figure that is 1/2 of another shape
D. figure made up of 3 or more basic shapes
Answer:
B. figure made up of 2 or more basic shapes
hope this helps :)
Answer:
b.
Step-by-step explanation:
I took the test, hope it helps :)
The base of a triangle is 3 times its height the area of the triangle is 108 square inches what is the base? The height?
Answer:
324
Step-by-step explanation:
I think that 3x108 is 324 so I think the height is 324 and the base is 108.
Answer:
Base: 18cm
height: 12 cm
Step-by-step explanation:
Let the ratio be x
base = 3x height = 2x
area of triangle = 108
⇒ 21 ×2x×3x=108
⇒3x 2 =108
⇒x 2 =36
x=6
Base=3x=3×6=18cm
height=2x=2×6=12cm.
60 quarts equals how many gallons
Answer:
15 gallons
Step-by-step explanation:
Four quarts equals one gallon.
So 60 quarts divided by 4 quarts a gallon = 15 gallons.
The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is
half as tall as the one before it. If there are 8 dolls in the collection, which is closest to
the combined height of the dolls?
O A. 1.5 meters
O B. 2 meters
O C. 3.1 meters
O D.
4 meters
The combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
[tex]S=\dfrac{a(1-r^n)}{1-r}[/tex]
Here, [tex]a_1[/tex] is the first term of the sequence, n is the number of terms, and r is the common ratio.
The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it.
The second doll is half of the first doll. Thus, the height of the second doll is,
[tex]a_2=\dfrac{1}{2}\\a_2=0.5\rm\;m[/tex]
Similarly, height of third doll,
[tex]a_3=\dfrac{0.5}{2}\\a_3=0.25\rm\;m[/tex]
Here, we see a pattern or sequence in the height of doll,
1,0.5,0.25......
For this series, the value of first term [tex]a_1[/tex] is 1, the number of dolls n is 8 and common ratio r is 0.5. Put the value in the above formula,
[tex]S=\dfrac{1(1-0.5^8)}{1-0.5}\\S=1.992\\S\approx 2\rm\; meters[/tex]
Thus, the combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.
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Find the solutions to 6x2 - 54 x = 0
Answer:
x = 2/9 or 0.2
Step-by-step explanation:
6 x 2 - 54x = 0
(6x2) = 12
12 - 54x = 0
Rearange the terms
-54x + 12 = 0
subtract 12 from both sides
-54x = -12
Divide both sides by the same factor
-54x/54 = -12/-54
then simplify
x=2/9 or 0.2
Which quadrant will (30,-45) fall into?
Answer:
Quadrant 4
Step-by-step explanation:
The x value is positive so it is either in 1 or 4
The y value is negative so it is either 3 or 4
To meet both conditions, it must be 4
Which equation can be solved by using this system of equations? startlayout enlarged left-brace 1st row y = 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 2nd row y = 4 x superscript 4 baseline 6 x cubed minus 11 endlayout 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 = 0 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 = 4 x superscript 4 baseline 6 x cubed minus 11 3 x superscript 5 baseline 4 x superscript 4 baseline x cubed 2 x squared minus 10 x minus 7 = 0 4 x superscript 4 baseline 6 x cubed minus 11 = 0
An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.
Given the following data:
y = 3x⁵ - 5x³ + 2x² - 10x + 4
y = 4x⁴ + 6x³ - 11
What is a system of equations?A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.
Equating the given equations, we have:
y = y
3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11
3x⁵ - 5x³ + 2x² - 10x + 4 - (4x⁴ + 6x³ - 11) = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 4x⁴ - 11x³ + 2x² - 10x + 15 = 0
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Select the correct answer from the drop-down menu. a coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.
The most improbable simulation for this coin is the heading when a coin is tossed 20 times will be 15.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A coin is biased to display heads 75% of the time.
It is tossed 20 times, and the outcomes are recorded.
Then the probability of getting heads when a coin is tossed 20 times. Then we have
[tex]\rm P = 0.75 \times 20 = 15[/tex]
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Answer:
9
Step-by-step explanation:
image below i will give brainliest
Answer:
60 degrees
Step-by-step explanation:
First of all, we have to set up an equation to solve this. The angles of a triangle add up to 180 degrees. We need to find the internal angle of C, which would be 180-(10x-45).
For our equation, we can set 3x+4x+[180-(10x-45)] equal to 180.
Add like terms:
7x+[180-(10x-45)] = 180
Distribute:
7x+180-10x+45 = 180
Add like terms once again:
-3x+225 = 180
Subtract 225 on both sides:
-3x = -45
Divide by -3 on both sides:
x = 15
Plug in 15 for x in the value 4x:
<B = 60 degrees
On a grid, moving from 0,0 to 4,4 makes a line at a 90-degree angle.
true or false
The given statement is false statment because the line drawn has an inclination of 45°.
Given that,
On a grid, moving from 0,0 to 4,4 makes a line at a 90-degree angle. whether the statement is true or false is to be justified.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
According to the question,
Moving from 0,0 to 4,4
Calculating the slope,
m = 4 - 0 / 4 - 0
m = 1
m = tanФ = 1
tanФ = 1
tanФ = tan 45°
Ф = 45°
Thus, the given statement is a false statment because the line drawn has an inclination of 45°.
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help please???????? help lol.
Answer:
[tex]8 \frac{1}{25} [/tex]
Step-by-step explanation:
[tex]4 \frac{3}{5} + 3 \frac{11}{25} \\ (4 + 3) + ( \frac{3}{5} + \frac{11}{25} ) \\ 7 + \frac{26}{25 } \\ 7 + 1 \times \frac{1}{25} \\ 8 \frac{1}{25} [/tex]
[tex]4 \frac{3}{5} + 3 \frac{11}{25} [/tex]
to find:the simplest form.
solution:[tex] \frac{23}{5} + \frac{86}{25} [/tex]
[tex] = \frac{(23 \times 25) + (86 \times 5)}{5 \times 25} [/tex]
[tex] = \frac{575 + 430}{125} [/tex]
[tex] = \frac{1005}{125} [/tex]
[tex] = 8 \frac{1}{25} [/tex]
I need help with both questions 20 points
Answer:
1st image
first box 180
second box 32
third box supplementary, I'm not sure about this one
fourth box 32
fifth box 63
2ed image
B
Step-by-step explanation:
second box first image 180-148=32
fifth box first image 85+32=117 180-117=63
Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLS
The y-intercept of the equation that represent the relationship between x and y in the table is -6
How to determine the y-intercept?From the table, we have the following highlight:
As the x values increase by 2, The y values increase by 3This means that:
As the x values decrease by 2, The y values decrease by 3From the table, we have:
x = 2 when y = -9
Decrease the values of x and y
x = 0 when y = -6
Hence, the y-intercept is -6
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Can some help meeeeeeeee?
Answer:
$46.54
Step-by-step explanation:
A=P(1+r/n)^nt
P=220
r=.0325
n=1
t=6
A=266.54
A=P+I
266.54=220+I
I=46.54
Please help!! Will mark brainlyest.
Answer:
4 units left
Step-by-step explanation:
if u look at point C and count the amount of lines it takes to get to its next spot, it us 4 units left
u can tell which shape is the original because it does not have little 1's next to its letters
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answer:
3/5
Step-by-step explanation:
Sin = hypotenuse side / opposite side to the angle
then: Sin (C) = 30 / 50 = 3 / 5
• Aisha has an agreed overdraft on her account
of £500.
• Currently, Aisha is £57 overdrawn on her
account and she is expecting a Direct Debit of
£165 to come out on 27th June.
• Aisha's salary of £1,112.00 will be credited to
her account on 30th June What will the
balance of the account be if Aisha does not
make any other transactions before her salary
is deposited?
Answer:
the one symbols are not explanation
Answer:
£890
Step-by-step explanation:
Has an agreed overdraft of £500, meaning upto 500 pounds over what is in the account is allowedShe is currently £57 overdrawn from her account and another £165 will be withdrawn (Current balance → -57 - 165 = -£222)Salary of £1,112 will be creditedRemaining balance = 1,112 - 222 = £890According to their party platform, the Democratic party would likely oppose an effort to __________.
A.
alleviate poverty
B.
remove business regulations
C.
reform public education
D.
collect taxes to fund programs
Please select the best answer from the choices provided
A
B
C
D
Answer: remove business regulations
Step-by-step explanation:
1
N
3
4.
5
6
7
Find the area of the figure. (Sides meet at right angles.)
5 cm
3 cm
B cm
5 cm
5 cm
4 cm
4 cm
Answer:
6000cm
Step-by-step explanation:
multiply all figures given
Reflect the triangle in the mirror line
( PROVIDE IMAGE FOR ANSWER )
Find the missing angle - circle theorem
PLEASE HELP
Answer:
It has to be 40° or 55°, I think.
sorry if wrong.
The quotient of 36 and 3 is j.
Solve for j.
Group of answer choices
j=108
j=16
j=12
j=112
Answer:
j=12
Step-by-step explanation:
Pls help! It's due soon and I'm a bit confused, offering 20 points :)
Answer:
here it bees
Step-by-step explanation:
After translation, M would be at (-2.2), N would be at (-2,-1), and O would be at (-4,-1).
Explanation:
To get you started, as it isn't too difficult, the first thing that you should do is write down the coordinates for each point.
As an example, I'll use point O which is located at (2,3).
The translation is [-6, -4], which simply means to translate your x-value left 6(as it is negative) and your y-value down 4.
In the case of O(2,3), your translated point would be at (-4,-1).
Hope this helps :)
Audrey is 4 years younger than her husband. Their total age is 154. What are their ages?
Answer: Audrey is 75 And husband is 79
Step-by-step explanation: A = H - 4
A + H = 154