Answer:
The answer is B
Step-by-step explanation
It's a system ranking people in a hierarchy
License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured? (Repetitions are allowed.)
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence [tex]n_1 = n_2 = n_3 = 26[/tex].For the 3 numbers, there are 10 outcomes, hence [tex]n_4 = n_5 = n_6 = 10[/tex]Then:
[tex]N = 26^3 \times 10^3 = 17576000[/tex]
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
Which is the total value of the digit 4 in 34 712
Answer:
4,000 which is four thousand
Answer:
4000
Step-by-step explanation:
It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments
Answer:
$30.46
Step-by-step explanation:
Total payment = down payment + interest fee + 24 equal payments
980 = 200 + 49 + 24 equal payments
24 equal payments = 24 * p, as we add p 24 times
980 = 249 + 24p
subtract 249 from both sides to isolate p and its coefficient
731 = 24p
divide both sides by 24 to isolate p
p = 30.46
Someone please help, I think I have an idea but just wanna make sure i'm on the right track
Answer:
As per graph the rate of Printer A is 15 pages per minute.
Missing words are:
(a) greater than
(b) greater than
(c) 15
The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.
or
The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
Step-by-step explanation: it's either greater than or more than
From the graph of the printing rate of Printer A, we can see that;
At 1 minute, number of pages printed = 15
At 2 minutes, number of pages printed = 30 minutes
At 3 minutes, number of pages printed = 45
Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes
Since printer B can print 25 pages per minute, we can conclude that;
The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
Measurements should ALWAYS include units in conversion problems?
A. True
B. False
The answer would be
A. True
What is x, the distance between points S' and S? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units
Answer:
2.5 units
Step-by-step explanation:
I took the test and got this question right
I forgot how I did it but test your luck if you believe me
Answer:
b
Step-by-step explanation:
QUESTION 19 PLEASE HELP ME ASAP
Answer:
changes over time
Step-by-step explanation: its going up not staying at one spot
what is the value of x
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.
At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:
[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]
Help me I need the math problem
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
URGENT PLEASE HELP simplify (3^8 / 3^5)^3
Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19
[tex]x = -4 \pm \sqrt{19}[/tex]
Step-by-step explanation:
Let us put 3 on the right side and rewrite the equation as
[tex]x^2 + 8x = 3[/tex]
By putting 16 on both sides, our equation becomes
[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]
[tex]\Rightarrow (x + 4)^2 = 19[/tex]
Taking the square root of the equation, we get
[tex]x + 4 = \pm \sqrt{19}[/tex]
Finally, solving for x,
[tex]x = -4 \pm \sqrt{19}[/tex]
Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)
Answer:
3/2x
Step-by-step explanation:
−
2
3
x
−
4
9
=
3
2
x
7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Area of quarter = 1/4 × Area of whole circle
that is ~
[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex][tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex][tex] \sf \dfrac{153.86}{4} [/tex][tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]
if susan subtracts 14 from one third of her number she gets 2
Answer:
Step-by-step explanation:
2 + 14 = 16 x 3 = 48
[tex]dx x-2secx[/tex]
Answer:
x + 2tan X . sec X / X
Step-by-step explanation:
The derivatives of trigonometric functions is as follows
* d/dx (sin x) = cos x
* d/dx (cos x) = - sin X
* d/dx (tan x) = sec ^2 X
* d/dx (Cot x) = -cosec^2 X
* d/dx (sec x) = tan x . sec x
* d/dx (cosec x) = -cot x . cosec x
and so the derivative of sec is tanx . sec x
d/dx x - sec x
the derivative of variables is considered 1.
since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.
so d/dx of X is = 1
d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.
in conclusion the final answer is = x + 2tan X . sec X / X
I need help ASAPPP this is very important
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
in the mixture?
A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?
Answer:
each cup would cost $0.52
Step-by-step explanation:
there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))
Tell me I got this wrong
A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. Find the 95% confidence intervals of the true difference in the proportions.
The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
75 = 100 26 = X 26 x 100/75 = X 34.66 = X 34.66 x 0.95 = 32.93 34.66 x 1.05 = 36.40 60 = 100 26 = X 26 x 100/60 = X 43.33 = X 43.33 x 0.95 = 41.16 43.33 x 1.05 = 45.50 45.50 - 32.93 = 12.57 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Learn more about maths in https://brainly.com/question/25989509
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
❗100 POINTS ❗
FOR a correct explanation of why this ain't right
I'm forced to do this 4 sb and I fr dk what HOW THIS ISNT CORRECT?!
pls help
thx
Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36
Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36
Prime Factors of 36: 2, 3
Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32
Sum of Factors of 36: 91
Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.
Let us do a hit and trial method to find factors of 36.
Divide 36 ÷ 2 = 18
Quotient = 18, remainder = 0
Now multiply 18 × 2 = 36
Hence, 18 and 2 are the factors of 18.
36 is a composite number as it has factors other than 1 and itself.
We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.
The most common method we use to find factors is the prime factorization method.
In prime factorization, we express 36 as a product of its prime factors.
In the division method, we see which numbers divide 36 exactly without a remainder.
Let us calculate factors of 36 using the following two methods:
Factors of 36 by prime factorization factor tree method
Factors of 36 by upside-down division method
Prime Factorization of 36 by Upside-Down Division Method
Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.
With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.
36 ÷ 2 = 18. Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.
18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.
9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.
Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².
Prime Factorization of 36 by Factor Tree Method
The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.
Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
Explore factors using illustrations and interactive examples
Factors of 33: The factors of 33 are 1, 3, 11, and 33.
Factors of 34: The factors of 34 are 1, 2, 17, and 34.
Factors of 38: The factors of 38 are 1, 2, 19, and 38.
Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
Factors of 35: The factors of 35 are 1, 5, 7, and 35.
Factors of 37: The factors of 37 are 1 and 37.
Factors of 36 in Pairs
Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:
Step I: Start with 1 and the number itself.
Step II: Count up by ones to see if you can multiply two numbers together to get your target number.
Step III: Stop when you can’t get any more numbers in between.
Step IV: Connect the factor pairs.
Factor pairs of 36 are given below:
36 = 1 × 36
36 = 4 × 9
36 = 6 × 6
36 =12 × 3
36 = 18 × 2
Let us club the numbers in pairs.
The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
There are a total of 5 pairs of factors of 36.
We can have negative factors also for a given number.
Since the product of two negative numbers is positive [(-) × (-) = +].
The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)
There are a total of 5 negative pairs of factors of 36.
Important Notes:
36 is a composite number as it has factors other than 1 and itself.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
1 is a factor of every number.
Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².
Challenging Questions:
Find the factors of 3600 with the help of techniques used in finding factors of 36.
Prove that the factor of a number is always less than or equal to the number itself?
multiply (2x+3y)(x-y)
Answer:
2x^2 +xy - 3y^2
Step-by-step explanation:
2x(x-y) +3y(x-y)
2x^2+xy - 3y^2
Help help help math math math
Answer:
180 - 17 - 14 =149
180 - 149 = 31*
Step-by-step explanation:
Answer: 180 - 17 - 14 =149180 - 149 = 31*
Step-by-step explanation: it’s right
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
E
Step-by-step explanation:
1+2+2+1
Match the description with the ratio. 1. There are four red bows out of ten bows. 6:10 2. There are three silver bows for every four red bows in a bag. 3:10 3. There are six blue bows and ten silver bows. 3:4 4. There are three black bows out of a bag of ten bows. 4:10 pls help daddy
Answer:
There are six blue bows and ten silver bows. = 6:10
There are four red bows out of ten bows. = 4:10
There are three black bows out of a bag of ten bows. = 3:10
There are three silver bows for every four red bows in a bag. 3:4
Graph the following features: Y-intercept = 1 Slope 3/2
Find the quotient 12÷3/8
Answer:
32
Step-by-step explanation:
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator
Thus, the answer to 12 divided by 3/8 in fraction form is:
96 /3
To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
96 / 3 = 32
The answer is rounded to the nearest two decimal points if necessary.
96/3 can be simplified to 32/1.
32/1 is an improper fraction and should be written as 32.
Hope this helps <3
Answer:32
Step-by-step explanation: 0.375 = 3/8
12/0.375=32