Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?
Answer:
A. 10,000 combinations
B. 5,040 combinations
Step-by-step explanation:
A. four-digit code from 0-9 without restriction
1st digit - 10 options
2nd digit - 10 options
3rd digit - 10 options
4th digit - 10 options
Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations
b. No repetition of digits
1st digit = 10 options
2nd digit = 9 options
3rd digit = 8 options
4th digit = 7 options
Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations
Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden. What is his unit rate
per hour for weeding these rows of his garden?
The unit rate is
rows per hour or
1.
Answer:
3 rows/hour
Step-by-step explanation:
It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.
120 minutes = 2 hours
We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :
[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]
So, the rate for weeding these rows of his garden is 3 rows per hour.
Find the solution set of the inequality
52−3x<−14.
Step-by-step explanation:
52 + 14 < 3x
66 < 3x
66/3 < x
22 < x
Answer:
x > 22
Step-by-step explanation:
52- 3x<-14
-3x < -14 -52
-3x < -66
x > 22
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
Answer:
2 years: 30
5 years: 75
7 years :105
10 years:150
i think those are the answer
Step-by-step explanation:
take the interest percentage and divide by 100 ex:5.2%100= 0.052
take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40
take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it
Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.
What is simple interest?The formula for simple interest is:
I = Prt
Where:
I = Interest earned
P = Principal (amount invested)
r = Interest rate (as a decimal)
t = Time (in years)
Using the simple interest formula to calculate how much Nishi will have after a certain number of years.
2 years:
I = Prt = 3000 x 0.05 x 2 = $300
Total amount after 2 years = P + I = $3300
5 years:
I = Prt = 3000 x 0.05 x 5 = $750
Total amount after 5 years = P + I = $3750
7 years:
I = Prt = 3000 x 0.05 x 7 = $1050
Total amount after 7 years = P + I = $4050
10 years:
I = Prt = 3000 x 0.05 x 10 = $1500
Total amount after 10 years = P + I = $4500
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
Find the value of x.
in this problem x equals 10
Step-by-step explanation:
jd
Answer:
13
Step-by-step explanation:
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true? Tomas's shirt costs $5.09 more than Kyle's shirt. Kyle's shirt costs $5.09 more than Tomas's shirt. Tomas's shirt costs $4.91 more than Kyle's shirt. Kyle's shirt costs $4.91 more than Tomas's shirt.
Answer:
The answer is C
Step-by-step explanation:
I took the test
Answer:
It is C
Step-by-step explanation:
6 times a number is 27 less than the square of that number. Find the positive solution
Answer:
6n = 27 - n^2
n = 3
Step-by-step explanation:
This is the answer because:
1) Solve for n by simplifying both sides of the equation, then isolating the variable.
Hope this helps!
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?
1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-14)^{\circ}∠A=(2x−14)
∘
and m\angle B=(3x-6)^{\circ}∠B=(3x−6)
∘
, then find the measure of \angle A∠A.
Answer:
∠ A = 66°
Step-by-step explanation:
Supplementary angles sum to 180° thus
∠ A + ∠ B = 180 , substitute values
2x - 14 + 3x - 6 = 180 , that is
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Thus
∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°
9x + 3 = 6x - 12 + 3x
0=−15
Step-by-step explanation:
subtract 3 from both sides
9+3=9−12
9+3−3=9−12−3
simplify
9=9−15
subtract 9x from both sides
9=9−15
Simplify again and combine like terms and you should get 0=−15
10. Which of the following rational numbers is the smallest?Required to answer. Single choice.
(1 Point)
4/7
-26/7
0
-1.6
Step-by-step explanation:
-26/7 = -3 5/7
Because that is the smallest
'Hope it would help'
Answer:
0
Step-by-step explanation:
0 is the smallest rational number.
Select the parent function and its graph.
Answer:
The first one
Step-by-step explanation:
Answer:
first function, second graph
Step-by-step explanation:
got it right in plato :DDD
If Jodi walks 1 hour and 17 minutes, explain how you would convert this to
a decimal AND give how many hours this is.
Answer:
Step-by-step explanation:
17 minutes is 17/60 hours=0.28333 ≅0.283 rounded to the nearest thousandth
Jodi walked for 1.283 hrs.See attachment for math work and answer.
Worth all my points plus brainliest!!! Due in 4 hrs 1-11
Answer:
1. 15
2. -8/9
3. 5
4. 7
5. a = 20
6. n = 100
7. 3.6 x 10^1
8. 3
9. 4
10. 8.37 x 10^5
11. 6.67 x 10^3
CARL HAS $30 TO SPEND AT
THE ARCADE. HE SPENT $12 ON
FOOD AND EACH GAME COSTS
$1.75. WRITE AN INEQUALITY
TO FIND THE MOST NUMBER OF
GAMES CARL CAN PLAY.
Answer:
12+1.75=13.75 30-13.75 =17.75
Step-by-step explanation:
What is the slope of the line shown?
Answer:
3
Step-by-step explanation:
Subtract the two points on the graph, i did (2,-6) and (4,0), you then get 6/2, simplify that and you get 3
Given the function g(x)= -3x+2, find the following:
f(1)=
f(-1)=
Write your answers as ordered pairs.
Hurry please help!
Answer:
(-1,5)
Step-by-step explanation:
George filled 10 mugs with coffee. Each mug had 240 mL
Answer: 2400 mL is the answer.
Answer:
I don't know what you're asking but if the question is how many mL was there all together the answer would be 2,400 mL
Step-by-step explanation:
10 x 240
A negatively charged balloon comes close to a positively charged cloth. What will happen
Answer:
It will attract and move towards each other
Answer: The balloon will be attracted to the cloth i hope this helps :D
Step-by-step explanation:
Slope from two points
What is the slope for a line that passes through (10, 17) and (7, 8)?
Your answer
Answer:
slope is 3
Step-by-step explanation:
10,17
7,8
8-17=-9
7-10=-3
-9/-3=3
please please pleaseee
Answer:
a. C= 5/9(F-32)
Step-by-step explanation:
you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c
PLSS!!! HELP ME!! I WILL MARK U!!!
Answer:
i will
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
14-4(a-b)^2
14-4(2-3)^2
14-4(-1)^2
14-4*1
14-4
10
Denise buys a $100,000 condo using a $20,000
down payment on a 30-year fixed-rate loan.
After 5 years of payments, she's made
approximately $24,000 in payments and still
owes approximately $75,000. How much
equity does Denise have in her house? *
Find ‘k’ if 2 k- 1, 7, 11are in A.P.
• 2k -1 , 7 and 11 are in AP .
To find :• The value of k .
Solution :• As we know that , In AP common difference is same .
• b - a = c - b
=> 2b = a + c
Here :
• a = 2k-1
• b = 7
• c = 11
=> 2 (7) = 2k-1+11
=> 14 = 2k+10
=> 2k = 14-10
=> 2k = 4
=> k = 4/2
=> k = 2 .
Hence ,the value of k is 2 .
Hope it will help you.
Regards.
9 to the 10th power
Answer:
3486784401
Step-by-step explanation:
Hi! 9 to the 10th power is written like this: [tex]9^{10}[/tex]. It equals 3,486,784,401. The equation is written like this: 9×9×9×9×9×9×9×9×9×9, NOT 9×10. I hope this helps you! Good luck and have a great day. ❤️
Plz answer it’s timed
Answer:
1,5
Step-by-step explanation:
cuz it's part of the green
m.c.m (3, 16, 2) ?? please help
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
M.C.M=
[tex] \bf \textcolor{red}{ \huge{48}}[/tex]
3-16-2|2
3-8-1 |2
3-4-1 |2
3-2-1 |2
3-1-1 |3
1-1-1
2⁴•3
M.C.M=
2•2=4
2•2=4
4•4=16
16•3=48
[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]
xLasersx✨find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz
Answer:
(-5, 0.5)
Step-by-step explanation:
-12+2/2= -5
-9+10/2= 0.5
(-5, 0.5)
Suman monthly income rs 25000 he spend 1/5 of his income for house rent and 3/5 of his income an.other exp enditure how much did he save every month
Answer:
₹ 5000
Step-by-step explanation:
Income= ₹ 25000
House rent = 1/5 of 25000
= [tex]\frac{1}{5}*25000[/tex]
= ₹ 5000
Other expenditure = 3/5 of 25000
= [tex]\frac{3}{5}*25000[/tex]
= 3 * 5000
= ₹ 15000
Savings = 25000 - ( 5000 + 15000)
= 25000 - 20000
= ₹ 5000
Answer:
I will return to this question in 3 minutes....please wait.
It is the middle of the night and yeah
Step-by-step explanation:
thougth ri4rng4g 3i45uto34jkmt
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.