The function S is defined as follows: for each positive integer n, S(n) is equal to the sum of the positive divisors of n.
The values of S(15) and S(19) are :
S(15) = 24
S(19) = 20
A function is a mathematical rule that takes an input value and produces an output value.
In this case, the function S is defined as follows: for each positive integer n, S(n) is equal to the sum of the positive divisors of n.
To find the value of S(15), we need to list all the positive divisors of 15 and add them together. The positive divisors of 15 are 1, 3, 5, and 15. Adding them together gives us:
S(15) = 1 + 3 + 5 + 15 = 24
Therefore, S(15) is equal to 24.
To find the value of S(19), we need to list all the positive divisors of 19 and add them together. The positive divisors of 19 are 1 and 19. Adding them together gives us:
S(19) = 1 + 19 = 20
Therefore, S(19) is equal to 20.
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Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) and log3(7) log3 (21/5)
Answer:
[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]
Step-by-step explanation:
Given
[tex]log_3(\frac{21}{5})[/tex]
Required
Express in terms of [tex]log_3(5)[/tex] and [tex]log_3(7)[/tex]
[tex]log_3(\frac{21}{5})[/tex]
Express 21 as 7 * 3
[tex]log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})[/tex]
Apply law of logarithm
[tex]log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)[/tex]
[tex]log_3(3) = 1[/tex]. So, we have:
[tex]log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)[/tex]
Rewrite:
[tex]log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1[/tex]
Please Help Me with my homwork
Answer:
first blank is -3/2
Step-by-step explanation:
second blank is 2
A pelican has a wingspan of 8 feet.
An eagle has a wingspan of 6 feet.
How much longer is the wingspan
of a pelican?
Answer:
I'm pretty sure the answer would be 2 feet.
Step-by-step explanation:
8-6=2
MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Evaluate 7x2 - 4y for x = -6 & y = 9.
Please help
You roll a standard number cube (six-sided die) 7 times. Assume that each number is equally likely to come up each time you roll. If there is a 1/3
probability of rolling a number less than 3, what is the probability that a number less than 3 comes up exactly 4 of the 7 times? Round your answer to 3
decimals.
Answer:
.190
Step-by-step explanation:
1/3 probablitliy for rolling a number less than three.
571428 probability for rolling exactly four of the seven times.
1/3 x 4/7 = 190476190476190476190476190476194
Rounded to three decimals =.190
Hope this helps!
Mark Brainliest plz!
please help me out with this
Last season, Patrick Mahomes threw for 4,800 yards in 16 games. This season, he had a 15% increase in the number of yards he threw per game.
How many yards did he throw per game after the increase?
Answer:
345 yards.
Step-by-step explanation:
4800/16 = 300
300 increase 15% =
300 × (1 + 15%) = 300 × (1 + 0.15) = 345
PLSSSSS HELP MEEEE PLSSSSSSS
Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 burrito and paid $3.79. Louise ordered 2 burritos and 1 taco and paid $4.58..
Find the cost for 1 of each of these items.
Answer:56
Step-by-step explanation:
!$(7(8
What statement describes the expression 10 +1/4× (5+3)-3
Answer:
The answer would be 9.
Step-by-step explanation:
10 + 1/4 x (5 + 3) - 3
10 + 1/4 x (8) - 3
10 + 2 - 3
12 - 3
9
please help.
is it increasing or decreasing?
only one answer please.
Answer:
Increase
Step-by-step explanation:
Hope this is correct
6x = -24 Solve for x. *Please click on "show your work" to set up the problem and show your work. Then,
enter your answer in the box to the right. You must complete both of these steps.
Answer: x=-4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
You would begin by dividing 6 from each side to get x alone so it'll look like this:
x = [tex]\frac{-24}{6}[/tex]
When you divide, you get -4 because a negative divided by a positive is still negative.
Hope that helps!
cuantas combinaciones de 5 cifras se pueden hacer con los sig numeros 1,2,3,4,5
Responder:
Hay 120 combinaciones posibles
how do I found a scale factor of a scale copy?
Answer:
first you have to look at one of the sides of the scaled copy. If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.
Step-by-step explanation:
Could you help me please ?
my answer is that 6.28 will be the answer.
What is an equation of the line that passes through the points (-1,3) and (-1,6)
Answer:
x=-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(6-3)/(-1-(-1)=3/(-1+1)=3/0
your slope is undefined.
x=-1
A typist types 450 word in one hour. How many words would he type in 10 minutes
Answer:
75 words in 10 mins
Step-by-step explanation:
450 words in 60 mins, 450/6 is 75 meaning he can type 75 in 10 mins.
Answer:
30 minutes ................ 450 words
1 minute ..................
30
450
=15 words
6 minutes .............. 15×6=90 words
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
1.5 or 1 1/2 pounds of candy
Step-by-step explanation:
First, divide 2 into 4 equal pieces. You do this because of the denominator in 3/4.
2 divided by 4= 0.5
Then 0.5 times 3 because of the numerator in 3/4.
0.5 times 3= 1.5
You can convert this into the fraction 1 1/2 or you can leave it a 1.5
Hope this helps!
t 7.5 hours at the zoo. If he left at 4:20 pm., what time did he arrive at the zoo
Answer:
The correct answer is 11:50 PM.
Step-by-step explanation:
(3y + 4) (9y² - 12y + 16)=
pls answer and give the solution
Answer:
27 ³ + 64
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynomial. Use standard polynomial format. x(2x - 3) + (x - 3)(x - 4)
Answer:
We have to find the product of ,
(a+3)(a-2)
We will use the identity
(x+a)(x+b)=x² + (a+b)x+ab
So, (a+3)(a-2)=a²+(3-2)a+ (3)×(-2)
= a²+1 × a -6
= a²+a-6
Or , you can use the following method, to find the product.
a×(a-2)+3×(a-2)
=a² -2 a + 3 a-3×2
=a²+a-6
Q A clothing company uses 280 pounds to make 70 shirts at this rate how many buttons with the clothing company used to make 460 shirts
Answer:
1840
Step-by-step explanation:
The number of buttons used in making 1 shirt = 280/70 = 4 buttons
the number of buttons used in making 460 shirts = 460 x 4 = 1840 buttons
What is the area of the triangle?
6 square inches
18 square inches
12 square inches
30 square inches
Answer:
answer is 6.
Step-by-step explanation:
the base as 4 in. times the height as 3in. divided by 2= 6in.
Find the value of x. Round to the nearest tenth:
Answer:
x = 13.5
Step-by-step explanation:
Enumere Cuatro Fuentes de Corriente continua
Answer:
La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude
Sari wrote the equivalent ratios below to convert cups to fluid ounces. How many fluid oz. Are in 9 cups.
Answer:
the number of fluids ounces in 9 cups is 72 fluid ounces
Step-by-step explanation:
The computation of the number of fluids ounces in 9 cups is shown below:
As we know that
In 1 cup = 8 fluid ounces
So for 9 cup it is
= 9 × 8
= 72 fluid ounces
hence, the number of fluids ounces in 9 cups is 72 fluid ounces
stannis wrote a test that was out of 972. he got 6% of the questions wrong. how many wrong answers did he get
Em cada caixote cabem 30 dúzias de laranjas. Um caminhão está carregado com 80 caixotes de laranjas. Quantas
laranjas, no total o caminhão está carregando?
Responda:
2400 dúzia
28800 laranjas
Explicação passo a passo:
se cada caixa pode conter 30 dúzias de laranjas e há 80 caixas, então para descobrir quantas dúzias há 30x80=2400
mas isso é quantas dezenas existem. Uma dúzia = 12 laranjas para descobrir quantas laranjas multiplicam as dúzia por 12 2400x12 = 28800 laranjas totais
b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?
Answer:
bro how many cups fill 14 indentical water bottles
Step-by-step explanation:
question is in complete
or if I take it as x then x/14
hope it helps you
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You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day?
Answer: There are a total of 66 conversations.
Step-by-step explanation:
Ok, we have 12 members.
let's call them:
member 1, member 2, member 3, etc...
Let's assume that member 1 starts talking to the others, then he talks to:
member 2, member 3, member 4, etc.
So member 1 talks to the other 11 members.
We have already 11 conversations.
Now let's count the conversations of member 2.
He talks to member 1, member 3, etc.
But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.
now for member 3. He talks with member 1, member 2, member 4, member 5, etc...
But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.
We already can see the pattern here.
For each new member that we count, the number of conversations is one less than for the previous member.
The total number of conversations will be:
11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66