The total number of possible 6-letter computer passwords, without repetition and with restrictions on the first letter, is 7,893,600.
Explanation:The question involves finding out the number of possible combinations for a 6-letter computer password where no letter is repeated and the letters 'Q' and 'Z' are not allowed in the first position.
For the first letter, we have 24 options (26 letters in the alphabet minus the two restricted letters, 'Q' and 'Z'). For the second letter, since the first letter has already been chosen and cannot be repeated, there are 25 options left. This pattern continues, reducing by one each time, leaving 24 options for the third, 23 for the fourth, 22 for the fifth, and 21 options for the sixth letter. The total number of possible passwords is calculated by multiplying all options together; hence, the answer will be 24 * 25 * 24 * 23 * 22 * 21.
The calculation yields a result of 7,893,600 possible passwords.
To find the number of different passwords possible, multiply the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600.
Explanation:To find the number of different passwords that are possible, we can break down the problem into steps:
First position: Since Q and Z cannot be used in the first position, there are 24 possible letters that can be used.Second position: Once the first position is determined, there are 25 letters remaining to be used in the second position (since Q and Z can now be used).Third position: There are 24 letters remaining to be used in the third position, since one letter has already been used in the first position.Fourth position: There are 23 letters remaining to be used in the fourth position.Fifth position: There are 22 letters remaining to be used in the fifth position.Sixth position: There are 21 letters remaining to be used in the sixth position.To find the total number of possible passwords, we multiply together the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600. Therefore, there are 39,825,600 different passwords that are possible.
a box of cereal states that there are 96 calories in a 3/4-cup serving. what is the unit rate of calories per cup? how many calories are there in 3 cups of ceral
The number of calories is there in 3 cups of cereal will be equal to 384.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total calories in 3/4 cup = 96
Let's assume that the number of calories per cup is x.
Then,
3/4 cup = 96
1 cup = x
Use cross-multiplication,
0.75x = 96
x = 96/0.75
x = 128 calories
Then, the calories in 3 cups will be,
= 128 × 3
= 384
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Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.
The rate in pairs of jeans per hour is 1/4
For every 2/3 hour Harris can sow 1/6 pair of jeans
Therefore the rate of Harris's jeans in pairs can be calculated as follows
= 1/6 ÷ 2/3
= 1/6 × 3/2
= 3/12
= 1/4
Hence the rate in pairs of jeans per hour is 1/4
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The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?
Answer:
Step-by-step explanation:
The volume of the cube depends on the length of its sides.
Volume can be represented by the function
V(s) = s³
Where s represents the length of one side.
Now V(3) = 27
or V(3) = 3³ will represent the volume of the cube with a side of length 3 unit.
Deon wants to make a mosaic using tiles. He will use 253 tiles in each of 4 different colors. He drew a diagram to help him find how many tiles he needs for his mosaic. (Plz show work)
how to put 9.125 E10. in standard form
Does anyone know how to do this please help thank you
Is 95.045 and 95.545 greater or less then
If the welcome gold nugget were turned into 3 equal-sized gold bricks, How many Troy ounces would each brick weigh?
The Rodriguez family went out to dinner to Pasta, Pasta, Pasta! Mr Rodriguez ordered a meal for $6.25. Mrs Rodriguez ordered a meal for $7.50. The two children ordered pizzas for $4.99 each. The sales tax rate is 7.25% (on the cost of only the meal) and they left a 15% tip based on the cost of the meal (not the tax). How much was the total bill? Question 8 options: A) $29.01 B) $45.98 C) $23.73 D) $23.96
160% of 35 show work.
Working together, two pumps can drain a certain pool in 4 hours. If it takes the older pump 9 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.
How much chain did he have left?
Enter your answer in the box.
HELP ASAP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer to the question is 69.363
Step-by-step explanation:
when would it be more useful to represent a proportional relationship with a graph rather than equation
(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (0, 6); the y-intercept is (−9, 0).
The x-intercept is (6, 0); the y-intercept is (0, −9).
The x-intercept is (3, 0); the y-intercept is (0, −2).
The x-intercept is (0, 3); the y-intercept is (−2, 0).
Can anyone help me on #7 and #8
Lopez spent 1/3 of his vacation money for travel in 2/5 of his vacation money for lodging.He spent $1,100 for travel and lodging what is the total amount of money he spent on his vacation
What is 4973 divided by 7
I don't get this I need help
Simplify the expression. 57 – 12 ÷ 4 • 3
What does the ordered pair (2,16) represent
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 100% profit on the cost of the gloves. 20% profit on the total cost. Work out the percentage profit on the cost of the skirt
The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40.
Explanation:Profit Maximization CalculationTo calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost.
Calculate total revenue by multiplying the number of units by the price ($72).Calculate total cost by adding fixed costs ($100) to the total variable costs for each output level.Determine marginal revenue and marginal cost for each additional unit produced.Identify the output level where marginal revenue equals marginal cost; this is the profit-maximizing quantity.Subtract total cost from total revenue to find profits at this output level.If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits.
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Find the equation of a line parallel to y=-3 passing through the coordinate (2,6)
HELP ME PLS:( I don't understand
Which story represents the graph below?
A person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
both of the above
neither of the above
Both given stories represents the given graph.
Given that, a person starts climbing a mountain, and then walks across a plateau, before finishing her climb to the top.
An airplane reaches its cruising altitude.
What is cruising altitude?The height in the sky at which an airplane stays for most of a flight.
Cruise altitude is usually where the higher ground speed is balanced against the decrease in engine thrust and efficiency at higher altitudes.
In the graph a plateau and cruising altitude of a function is a part of its domain where the function has constant value.
Therefore, both given stories represents the given graph.
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Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.
F=9/5C+32. Solve for C.
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is a linear expression?The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
As we know,
The expression can be defined as the combination of constants and variables with mathematical operators.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
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A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.
Which transformations will produce similar, but not congruent, figures?
A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
B) Triangle MNO is reflected across the x-axis and then translated 9 units down to form triangle M"N"O".
C) Triangle MNO is reflected across the x-axis and then rotated 90° clockwise to form triangle M"N"O".
D) Triangle MNO is reflected across the y-axis and then rotated 180° clockwise to form triangle M"N"O".
Answer: A) Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
Step-by-step explanation:
We know that we prefer rigid motions to create congruent images.
There are four kinds of rigid motions:
1) translation 2) reflection 3) rotation 4) glide reflection.
But a dilation is a transformation that creates an image having similar shape as the original, but with a different size.
So it does not create congruent images.
Hence transformations will produce similar, but not congruent, figures is :
Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is 40%. The percent decrease is 70%. The percent decrease is 140%. The percent decrease is 240%.
Jacob has 16 toy cars.3/8 of the cars are red and the rest are blue.how many cars are blue
Answer:
The number of blue toy cars that Jacob has is 10.
Solution:
Given:
Total number of toy cars = 16
Number of red cars = [tex]\frac{3}{8}[/tex] of the total number of cars = [tex]\frac{3}{8}\times16[/tex]
On dividing 8 and 16 we get 2 i.e. [tex]3\times2=6[/tex]
[tex]\therefore[/tex] Total red cars = 6
To find: the number of blue toy cars
Number of blue toy cars = Total number of toy cars - Number of red cars
[tex]\Rightarrow 16-6=10[/tex]
Hence, blue cars = 10