Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make
My previous answer was incorrect, sorry for that... the correct answer would be 358,800
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{He has 26 letters all together (A - Z)}[/tex]
[tex]\large\text{25 if he starts from his second letter (B - Z)}[/tex]
[tex]\large\text{24 if he starts from his third letter (C - Z)}[/tex]
[tex]\large\text{ 23 if he starts from his fourth letter (D - Z)}[/tex]
[tex]\mathsf{26\times25\times24\times23}[/tex]
[tex]\mathsf{26\times 25 = \bf 650}[/tex]
[tex]\mathsf{650\times24\times23}[/tex]
[tex]\mathsf{650\times24 = \bf 15,600}[/tex]
[tex]\mathsf{15,600\times 23}[/tex]
[tex]\mathsf{ =\bf 358,800}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle
Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
Please help me. I am pretty confused on this
Answer:
C
Step-by-step explanation:
16's square root is 4
Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...
Given:
The explicit function is:
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]
To find:
[tex]f(1)=?,r=?[/tex] and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex] ...(i)
Where, a is the first term and r is the common ratio.
We have,
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1000[/tex]
[tex]f(1)=1000[/tex]
And,
[tex]r=\dfrac{1}{4}[/tex]
For [tex]n=1[/tex],
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]
[tex]f(1)=1000(1)[/tex]
[tex]f(1)=1000[/tex]
For [tex]n=2[/tex],
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]
[tex]f(2)=1000\times \dfrac{1}{4}[/tex]
[tex]f(2)=250[/tex]
Similarly, substituting [tex]n=3,4,5[/tex], we get
[tex]f(3)=62.5[/tex]
[tex]f(4)=15.625[/tex]
[tex]f(5)=3.90625[/tex]
Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].
Given:
The explicit function is:
To find:
and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
...(i)
Where, a is the first term and r is the common ratio.
We have,
...(ii)
On comparing (i) and (ii), we get
And,
For ,
For ,
Similarly, substituting , we get
Therefore, and the first five terms are .
• 2. Find the probability that she gets a 5.*
Janet rolls a regular eight-sided die with numbers 1 to 8.
1/5
1/8
5/8
7/8
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the probability of getting 5 when Janet rolls a regular eight-sided die with numbers 1 to 8.
The formula for probability of getting an event is given by :
[tex]P=\dfrac{Favourable\ outcome}{Total\ no\ of\ outcomes}[/tex]
Here, favourable outcome = 1
Total outcomes = 8
So,
[tex]P=\dfrac{1}{8}[/tex]
So, the correct option is (b).
x=?
Please help y’all
Answer:
35
Step-by-step explanation:
i believe it is 35 degree at is directly opposite to a 35 degree angle
John mows 3 of his neighbors yards for $20 a yard. How much money did he make?
Answer:
60
Step-by-step explanation:
Answer:
The answer is $60
Step-by-step explanation:
If each yard earns John $20, and John cuts 3 yards, then John earns $60.
3 • 20 = 60
What is the answer to this question?
Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
someone help me with this please
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answer:
whats the question
Step-by-step explanation:
Sean solved a quadratic equation by factoring.
The problem he solved is given. Complete the
four blanks shown for one of his steps and the
solution
Step-by-step explanation:
Here are the steps required for Solving Quadratics by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: x2 + 16 = 10x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the
A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.
Answer:
It is 12 green marblesStep-by-step explanation:
[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]
I hope that is useful for you :)
which expression is equivalent to the problem shown?
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = - 8/17, x in Quadrant III
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
-7.6
Step-by-step explanation:
What is 95% as a whole number
Answer:
95
Step-by-step explanation:
Answer:
95% of what? this question is incomplete.
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answer:
i think its (6,4)
Step-by-step explanation:
helpppppppp pleaseeeeee
Answer:
7a + b - 16c
Step-by-step explanation:
So we have
7a-3b+c-8c+4b-9c
When it comes to problem like these, you need to combine like terms.
There's only one 'a' number, so that one remains the same.
Next, we have -3b and 4b. (-3b+4b)= b
Finally, there's (c-8c-9c).
(-8c-9c)= -17c
Take that and add the positive 'c' to it.
(-17c+c)= -16c
Put it all together now to get:
7a + b - 16c
I hope that helped and helped you understand at least a little
:)
Avery is solving the following equation.
-2[m - 2] = -6
Which equation is equivalent to Avery's equation?
A. – 2m + 4 = -6
B. Im - 2] = -3
C. 2m + 4 = 6
D. Im - 2) = 3
Answer:
A. – 2m + 4 = -6
Step-by-step explanation:
I should know. I did the question.
Sara invested a total of $1,014 by purchasing shares of two types of stock, stock A and stock B. she purchased 52 shares of stock A and 65 shares of stock B. if the combined cost for one share of stock A and one share of stock B is $17.18 find the cost per share of stock B
Answer: I think the answer might be 9.28.
Step-by-step explanation:
I was also confused with this question so I might be wrong.
Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.
You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)
ANYWAYS HOPED THIS HELPED :)
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
Please help.
Show work
Answer:
6 or A
Step-by-step explanation:
Let's say n is equal to f(x). So "n is equal to g(x) and g(x) is equal to 3c + f(x) - 15 so when
n = 9 and c = 4 when I substitute I get 3(4) + (9) - 15 = 12 + 9 -15 = 21 - 15 = 6
The table shows a linear function.
X
у
-1
5
0
2
3
-7
8
-22
What is the slope of the table?
OOT
Answer:
-3
Step-by-step explanation:
:)
Calcule el décimo termino de una progresión geométrica que Los términos son 32 , 16 , 8 , 4 ................,
Respuesta:
1/16
Explicación paso a paso:
Dada la secuencia geométrica: 32, 16, 8, 4 ................,
El enésimo término de una progresión geométrica se obtiene mediante la relación:
enésimo término = ar ^ (n-1)
Dónde ; a = primer término = 32; n = enésimo término; r = razón común
r = a2 / a1 = a3 / a2
r = 16/32 = 8/16
r = 1/2
Por lo tanto, el décimo término:
n (10) = 32 * (1/2) ^ (10 - 1)
n (10) = 32 * (1/2) ^ 9
n (10) = 32 * (1/512)
n (10) = 32/512
n (10) = 1/16
Por lo tanto, el décimo término es 1/16
list all the equivalent fractions for the 12/20
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
Maleah turned on the water in the kitchen. For every 1 3/4 minute, 1 2/3 gallons of water went into the sink. How many gallons of water filled the sink per minute?
Answer: 20/21 gallons
Step-by-step explanation:
From the question given, we are informed that Maleah turned on the water in the kitchen and that for every 1 3/4 minute, 1 2/3 gallons of water went into the sink.
The number of gallons of water that filled the sink per minute will then be calculated as:
= Amount of gallons of water that went into sink / Number of minutes used
= 1 2/3 ÷ 1 3/4
= 5/3 ÷ 7/4
= 5/3 × 4/7
= 20/21
Therefore, 20/21 gallons of water filled the sink per minute
9/16•6 in fraction from?
Answer:
9/16 x 6/1 = 54/16
simplify = 27/8
Step-by-step explanation:
Jacob reduced the size of a painting to a width of 3.2 inches. What would be the new
height if the painting was originally 42.88 inches in width and 33.5 inches tall?
1) 1.9 inches
2) 3.7 inches
3) 2.5 inches
4) 4.1 inches
Answer: 3.) 2.5 inches
Step-by-step explanation:
x 32.5
___ = ______
3.3 42.9
42.9x= 3.3 * 32.5
x= 3.3*32.5
_______
42.9
x=2.5 inches/in.
Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation:
Kelly had a part-time job last year. She paid the state $234 in income tax. The state income tax rate is 5.2%. How much did Kelly earn?
Answer:
$4500
Step-by-step explanation:
Find how much she earned by dividing 234 by 0.052
234/0.052
= 4500
So, she earned $4500
Answer: see below
Step-by-step explanation:
Divide 234 by 5.2 to get one percent of her earnings, $45.
Multiply 45 by 100 to get 100% of her earnings, $4,500
If it asking for the gross earnings, leave it at $4,500
If it is asking for net earnings, subtract 234 from 4500 to get $4,266