Let p ( n ) and s ( n ) denote the product and the sum, respectively, of the digits of the integer n . For example, p ( 23 ) = 6 and s ( 23 ) = 5 . Suppose N is a two-digit number such that n = p ( n ) + s ( n ) . What is the unit digit of n ?
Answers
N = p(N) + s(N)
We know that the largest possible product of two single-digit numbers is 9, which occurs when both digits are 9. Therefore, p(N) ≤ 9.
The largest possible sum of two single-digit numbers is 18, which occurs when both digits are 9. Therefore, s(N) ≤ 18.
Now, let's find the unit digit of N. Since we are looking for the unit digit, we need to consider the possible values of p(N) and s(N) that result in a unit digit for N.
1. If p(N) = 9 (the maximum value for the product of two digits) and s(N) = 9 (the maximum value for the sum of two digits), then N = 9 + 9 = 18. In this case, the unit digit of N is 8.
2. If p(N) = 1 (the minimum value for the product of two digits) and s(N) = 1 (the minimum value for the sum of two digits), then N = 1 + 1 = 2. In this case, the unit digit of N is 2.
So, the possible unit digits for N are 2 and 8, depending on the values of p(N) and s(N).
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Answers
If g(x) is a function defined by text:
Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.
Here is your answer:
The lowest y-intercept has function g(x) with the value of three the others have four (h(x)) and five (f(x))which would mean that your answer is the second option "g(x)."
Hope this helps!
Answers
Answer: the first term is 5
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
S12 = 20475
r = 2
n = 12
Therefore,
20475 = (a × 2^(12) - 1)/2 - 1
20475 = (a × 4095)
20475 = 4095a
a = 20475/4095
a = 5
Answers
Answer:
x=7
Step-by-step explanation:
t(x) = 7x, t(x) = 49
Due to the transitive property, you can say that
7x=49
divide both sides by 7
x=7
Hope it helped!
Answer:
Step-by-step explanation:
7
49/7=7
$1
-$1
$10
Answers
Answer: $1
Step-by-step explanation: (10 x 10) / 100 = 1
Answers
choosing ten students from a box that contains the names of the entire group
choosing five students each from seventh and eighth grade
choosing five female students and five male students
Answers
Answer:
Choosing ten students from a box that contains the names of the entire group
Step-by-step explanation:
If each and every unit has equal chance of being selected in a sample then it is called Random Sampling. Here choice of sample should be unbiased and independent.
Option (a) is incorrect because here selection of student is not independent as only those students are choosing who also participate in music class.
Option (b) is correct option as selection of students are independent and unbiased. Also here each student has equal chance of being selected in sample.
Option (c) can't be chosen as selection of student is done from particular cluster.
Option (d) is also incorrect as here we put condition of male and female students.
This is the only one where everyone has an equal chance of being chosen.