We will see that the number of different combinations for each case are:
a) 11,881,376b) 311,875,200How many passwords can we make?
We have 5 selections for each password, we need to find the number of options for each one of these selections.
a) Here we can use only capitals an we can repeat, so for each selection (each letter), we have 26 options.
The total number of combinations will be equal to the product between the numbers of options:
C = 26*26*26*26*26 = 11,881,376
b)Now we can use either capitals or lower case, but we can't repeat. (Here I assume that A is different than a, so we can't use A two times, but we could use A and a).
Then we have 26*2 = 52 options.
For the first letter, we have 52 options.
For the second letter, we have 51 options (because one letter was already used).
For the third letter, we have 50 options, and so on.
The total number of combinations will be:
C = 52*51*50*49*48 = 311,875,200
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Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
x = [tex]\frac{-b}{2a}[/tex]
In the above equation a = 2; b = -192
x = [tex]\frac{-(-192)}{2 * 2}[/tex]
x= [tex]\frac{192}{4}[/tex]
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
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M ∠ 4 = ______ °
m ∠ 5 = ______ °
m ∠ 6 = ______ °
Answer:
Step-by-step explanation:
What is an equation of the line that passes through the points (-7,3) and (5,3)?
Answer:
y=3
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
first the slope:
[tex]m = \frac{3-3}{-7-5} =0[/tex]
The equation
[tex]y-3=0(x-(-7))\\y-3=0[/tex]
[tex]y=3[/tex]
The line is parallel to the "x" axis, has no slope.
Hope this helps
Ethan and Logan read a total of 23 books over the summer. Ethan read 5 more books than Logan. How many books did Logan read this summer? How many books did Ethan read this summer?
Answer:
Logan: 9
Ethan: 14
Step-by-step explanation:
Let Ethan = e
Let Logan = l
1) We can set up two equations and solve them simultaneously.
e + l = 23
5 + l = e
1.1) To solve these equations, we can either use substitution or elimination.
5 + l + l= 23
2l = 23 - 5
2l = 18
l = 18/2
l = 9
2) Plug the result of l into one of the two equations above.
5 + 9 = e
14 = e
Mr. Pearson drives a bus for the city of Greenwood. Last month, he kept track of the number of bus riders each day.
Bus riders
50
60
70
80
90
100
What was the least number of bus riders?
For all numbers x, if 3(x + 2) = 72 – 3, then x = ?
Answer:
A.
Step-by-step explanation:
How can I rename 1/4 and 5/8 in the least common denominator
Answer:
2/8 and 5/8
Step-by-step explanation:
4=2×2
8=2×2×2
LCM=2×2×2=8
1/4 × 2/2 = 2/8
I LITTERALY BEG OF YOU TO HELP ME!!
LMN≅PQR
What is the value of x in degrees?
Answer: 56
Step-by-step explanation:
Mrs. Leger has a rectangular garden with side lengths measuring (3x + 10) inches
and (2x + 7) inches. She needs to purchase fertilizer to cover the area of her
garden. Given the side lengths, what is the area of Mrs. Leger's garden?
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area of a rectangle = length * width, hence:
Area of rectangular garden = (2x + 7) * (3x + 10) = 6x² + 41x + 70
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
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What would be the best method of achieving a valid simple random sample of students at UTSA?
Going to the website UTSA
answer what the question is asking
Answer:
12 and 6
Step-by-step explanation:
12×6=72
12÷6=2
I hope this may help you
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answer:
$14.10
Step-by-step explanation:
Answer:
$14.10
Step-by-step explanation:
Solve the system of equations.
V = 4x+1
y = x^2+ 2x-2
Answer:
x = 1, y = 5 or (1, 5)Step-by-step explanation:
Given
y = 4x + 1y = x² + 2x + 2Equating them
4x + 1 = x² + 2x + 2x² - 2x + 1(x - 1)²x = 1Substituting x in the 1st Equation
y = 4(1) + 1y = 5Solution :
x = 1, y = 5 or (1, 5)13 less than the product of 4 and a number, n, is 5
The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
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Please help me with this , I will give 30 POINTS !.
======================================================
Explanation:
Through trial and error, we can set up these equations
4^5 = 10242^10 = 102432^2 = 1024This shows that choices A, C and D are eliminated. This is because 5, 10 and 32 all can work as either x or y in x^y = 1024, and that the other value is some other integer.
On the other hand, x = 16 doesn't work and neither does y = 16 if we wanted the other value to be an integer.
Solving x^16 = 1024 leads to approximately x = 1.5422 when we focus on the positive real number solution. This isn't an integer, so x^16 = 1024 doens't have any integer solutions.
Solving 16^y = 1024 leads to a similar situation as described in the previous paragraph. It doesn't have any integer solutions either (instead the value is y = 2.5)
So we have a few ways of arriving at why choice B is the final answer.
Sullivan had to show 5 of his
coworkers how it's done. His boss
wanted him to roar! Of the 5
coworkers, 40 percent were clapping.
How many coworkers were clapping
Answer:
2 workers
Step-by-step explanation:
If you want to find 40 percent of 5, just mutiply 40% which = to .4 and 5
Solve for x
x=
4x+2 3x+24
Answer:
x = - 8/3
Step-by-step explanation:
Hope this helps
What number is bigger 18.84 or 28.8
Answer:
In terms of decimal places, 18.84 is bigger because of the hundredths place(4). In terms of whole numbers, 28.8 is bigger.
Answer: 28.8
Step-by-step explanation:
If you look at the first digit on the left in the number 28.8, which is 2, then you look at the first digit of 18.84, which is 1, you can see that 2 is larger than 1, so therefore 28.8 is larger.
Is the following function even, odd, or neither? f(x) = -2x + 6
NEED ANSWER ASAP !!!!!!!!!!!! :(
Answer:
its an odd
Step-by-step explanation:
The leading coefficient is negative
hope this helps
Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
So far this season, the Utah Jazz have won 16
out of 48 games. What percent of games have
the Jazz won?
Answer:
33%
Step-by-step explanation:
16 is one third of 48
Additional electronic devices that extend the revenue control abilities of POS systems are _____ and power platforms. touchscreens keyboards minicams magnetic strip readers
Answer:
touchscreens
Step-by-step explanation:
You need this to interact with POS
Which explanation justifies how the area of a sector of a circle is derived?.
Step-by-step explanation:
We know the area of a circle is
[tex]\pi {r}^{2} [/tex]
That is when the cricle is 360 degrees full, so another formula is
[tex] \frac{360}{360} \pi {r}^{2} [/tex]
If we the find the area of the sector with angle x, then that formula will be
[tex] \frac{x}{360} {\pi}r^{2} [/tex]
Answer:
The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.
Step-by-step explanation:
A ring-shaped region is shown below.
Its Inner diameter is 26 it, and its outer diameter is 34 ft.
16
Find the area of the shaded region.
Use 3.14 Do not round your answer
Answer:
4.16
Step-by-step explanation:
Help Please.
I'm not the sharpest knife in the drawer
Step-by-step explanation:
Area = 1/2 × base × height
= 1/2 × 23/6 × 2.4
= 23×2.4/12
= 4.6 ft²
Which equation has a slope of 3? *
Y = 5x + 3
y = 1/5 x - 3
y = 1/3 x + 5
y = 3x + 5
Item 7
Which of the following has a slope of –2 and a y-intercept of 4?
y = –2x – 4
y = 2x + 4
y = 2x – 4
y = –2x + 4
A truck travels 350 miles on 25 gallons of gas. how far can it travel with 60 gallons of gas?
Answer:
840
Step-by-step explanation:
because he can drive 14 with one gallon of gas so 14x 60
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
A :The total points Terrence earned
B :The total number of tasks Terrence completed
C : The sum of Shelly's and Terrence's total points
D :The difference between Shelly's and Terrence's total points
Answer:
D: difference between Shelly and Terrence total points
Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut?