Answer:
5,040
Step-by-step explanation:
10x9x8x7 = 5,040
Using the permutation formula, it is found that 5040 passwords are possible.
The order is important, as 1234 is a different password than 2134, for example, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 digits are taken from a set of 10, hence:
[tex]P_{(10,4)} = \frac{10!}{6!} = 5040[/tex]
5040 passwords are possible.
You can learn more about the permutation formula at https://brainly.com/question/25925367
Jose ran 5 miles on Monday, 12 miles on Tuesday and Wednesday. How many miles did he ran in total
Answer:
17 miles over the course of 3 days
Step-by-step explanation:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
Find the only number that is in both of these sequences.
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
Graph the inequality x>13.
Answer:
The graph is attached.
Step-by-step explanation:
The open circle is because the inequality sign is >. If the sign is > or <, the circle is plotted open. If the sign is [tex]\geq[/tex] or [tex]\leq[/tex], the circle is plotted closed.
The sign is greater than, so the arrow is pointed to the right (where the numbers are going up).
The circle is plotted between 12 and 14 because that is point 13, like the inequality says.
Hope it helps!
The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars each.
Options B,D, and E are correct as per the given Function of the revenue.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A. At $2 per coffee mug, the revenue will be $196.
This statement is incorrect.
If the price per mug is $2, then the revenue would be (220 - 12x) * 2. If x = 12 (i.e. 12 mugs are sold), then the revenue would be (220 - 12(12)) * 2 = $176.
B. The school expects to sell 160 mugs if the price is $5 each.
This statement is correct.
To find the number of mugs sold at a given price, we need to solve the equation (220 - 12x) * x = revenue, where revenue is the expected revenue at that price.
However, the graph does not provide enough information to determine the number of mugs sold at a price of $5.
C. The school will lose money if it sells the mugs for more than $10 each.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases, up to a maximum revenue of about $1,000 when the price is $10 per mug. Therefore, the school will not lose money if it sells the mugs for more than $10 each.
D. The school will earn about $1,000 if it sells the mugs for $10 each.
This statement is correct. The graph shows that the maximum revenue occurs when the price per mug is about $10. At this price, the revenue is approximately $1,000.
E. The revenue will be more than $700 if the price is between $4 and $14.
This statement is correct.
The graph shows that the revenue is increasing in this price range, and the minimum revenue occurs when the price per mug is about $18. Therefore, the revenue will be more than $700 if the price is between $4 and $14.
F. The expected revenue will increase if the price per mug is greater than $10.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases up to $10, but then it starts to decrease. Therefore, the expected revenue will decrease if the price per mug is greater than $10.
Learn more about function here:
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Complete question:
Write the slope-intercept form of the equation of the line that has a slope of -6 and passes through the point (6,4).
Answer:
y= -6x+40
Step-by-step explanation:
9x³y – 6x²y² + 3xy⁵ factorize
Answer:
3xy (3x-2xy+y^4)
Step-by-step explanation:
Factor out 3xy from the expression
ABCD is a parallelogram.
AD = 12 cm.
DC = 9 cm.
The perpendicular distance of
from CD is 8 cm.
What is the perpendicular distance of AD from BC?
9514 1404 393
Answer:
6 cm
Step-by-step explanation:
The area of the parallelogram is the same, either way you figure it.
A = bh
A = CD(length ⊥ to CD)
A = (9 cm)(8 cm) = 72 cm²
__
A = AD(length ⊥ AD)
72 cm² = (12 cm)(length ⊥ AD)
(length ⊥ AD) = (72 cm²)/(12 cm) = 6 cm
The perpendicular distance of AD from BC is 6 cm.
i need help ! i will give u brainliest
can anyone help im stuck on this question?
31.40ft^2 is the answer
11
Bill wants to increase 150 by 3%
He writes down
150 X 1.3 = 195
Bill's method is wrong.
(a) Explain why.
+
Answer:
//
Step-by-step explanation:
Bill's answer is wrong because timesing 150 by 1.3 is increasing the number by 30%, not 3%
If he wanted to use this method, he would have ti times 150 by 1.03
Bill's method is wrong because 150 by 1.3 is increasing the number by 30%, not 3%.
What is the formula for calculating the increase?The formula for calculating the increase is:
original amount × (1 + percentage increase)
Bill wants to increase 150 by 3%
He writes down :
150 × 1.3 = 195
Bill's method is wrong because he is using the wrong formula to calculate the increase. To calculate the increase, you need to multiply the original amount by the percentage increase, not add the percentage increase to the original amount.
To calculate a 3% increase on 150, the correct method is:
150 × (1 + 0.03) = 150 × 1.03 = 154.50
As you can see, the result is different from the one that Bill obtained using his method.
Hence, Bill's method is wrong.
Learn more about the percentages here:
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will give brainliest If one angle of a parallelogram measures 90°, what else must be true about the figure? Select all that apply.
a It must be a rectangle.
b Only one other interior angle must be 90°.
c The diagonals are congruent.
d It must be a square.
e All three remaining interior angles must be 90°.
Answer:
E
Step-by-step explanation:
If correct plz mark as brainliest
thank you
19NBoli
:)
I feel generous so here yall go first come first serve
Answer:
thanks
Step-by-step explanation:
thank you for points
Fill in the table using this function rule.
y=26-4x
The complets table of values for the function rule
x 1 2 4 6
y 22 18 10 2
Completing the table of values for the function ruleFrom the question, we have the following parameters that can be used in our computation:
y = 26 - 4x
The missing y values are at x = 1, 2, 4 and x = 6
Substitute the known values in the above equation, so, we have the following representation
y = 26 - 4(1) = 22
y = 26 - 4(2) = 18
y = 26 - 4(3) = 10
y = 26 - 4(6) = 2
So, the missing values are 22, 18. 10 and 2
Read more about linear relation at
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Show work please.....
Answer:what goes around comes around
Step-by-step explanation:"i need points thanks"
Henry made a scale model of a submarine. The submarine has an actual height of 75 feet. Henry’s model used a scale in which 1 inch represents 5 feet. What is the height in inches of Henry's model?
Answer: 180 Inchs
Reason:
75 / 5
180 Inchs = 15 Feet
-DoggyMan5
HELP ASAP!! PLS HELP IM BEGGING YOU PLS PLS PLS!! (BRIANLIST)
I need help it’s due in 30 minutes
Answer:
yeet
Step-by-step
i dont know
What song has a slower tempo??
A)Death bed
B)Godzilla
If y = - 3x + 5, what is y when
X=2/3?
Select one:
7
-1
3
11
Answer:
y = 3 may I please get brainliest?
Step-by-step explanation:
y= -3x+5
y= -3(2/3)+5
-3(2/3) = -2
y= -2+5
-2+5 = 3
y=3
The length of a rectangle is 1yd more than twice the width and the area of a rectangle is 45y squared. Find the dimensions of the rectangle
Answer:(2x+1)x=45
x=4.5
4.5*2+1=10
Step-by-step explanation:
81/8=1/3v+25/8-23/6v
Answer:
v=4/7
Step-by-step explanation:
81/8 = 1/3v + 25/8 - 23/6v
-25/8 -25/8
56/8 = 1/3v -23/6v
56/8 = 24/6v
24/6 / 56/8
4/7
Plz help me with this question
Answer: KJ becuase it is the first two like on but put backwards.
I need this asap very easy!!! Please serious answers please!! I will mark brainliest if right
Answer:
1. no
2. 36+196=232 c=441 Obtuse.
3. x is greater than 3, less than 21.
Step-by-step explanation:
1. no
2. 36+196=232 c=441 Obtuse.
3. x is greater than 3, less than 21. is the correct answer to the question
What is the solution to the system of equations graphed below?
y = 2x - 7
y = -X-1
OA (2-3)
OB. 0,-1)
O C. (4.1)
O D. (3,-2)
Answer:
y = 2x - 7
y = - x - 1
So 0 = - 3x + 6
So - 3x = - 6
So x = 2
And y = 2 × 2 - 7 = - 3
So (x, y) is (2,-3)
OA is correct
Please help me fast please
Answer:
11
Step-by-step explanation:
Angle OKL is also angle 12. The only angle number that is adjacent, or shares a side with 12 is angle 11.
A prize is divided in the ratio 2:5
If the smaller share is £50 what is
the larger share?
Answer:
125
Step-by-step explanation:
2:5
50: ?
50 divided by 2 = 25
25 times 5 is = ?
50:125
di sure kung tama ^^
2. A bicycle trail is 65 miles long. Rashid
has already ridden 30 miles. How
many more miles does he need to
ride to reach the end of the trail?
Answer:
35 more miles
PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER
Answer:
Value of X is 11
Step-by-step explanation:
hope it helps
ASAP my sister said this is impossible to solve and if I solve I get 20 bucks
8(x-3)+7=2x(4-17)
solve for x
add answer:
step-by-step:
Please help me with both of these!!