Answer:
a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo
b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo
c) (1, 8, 27, 64, ...) Recursivo
d) (2, 5, 8, 11, 14, 17, ...) Recursivo
Step-by-step explanation:
Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores
O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;
1) Uma base que é predefinida
2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos
Para a série;
a) (5, 7, 9, 11, 13, 15, 17, 19, ...)
Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva
aₙ = aₙ₋₁ + 2
b) (1, 4, 9, 16, 25, 36, 49, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva
aₙ = (√ (aₙ₋₁) + 1) ²
c) (1, 8, 27, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva
aₙ = (∛ (aₙ₋₁) + 1) ³
d) (2, 5, 8, 11, 14, 17, ...)
Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.
write with explain.
Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm
Answer:85cm is kept comstant for a while
Step-by-step explanation:
For 2nd part
1m 80 cm
=1×100cm+ 80 cm
=100cm+ 80 cm
=180cm
So
#According to question,
If both are added then,
=85cm+180 cm
=265cm
please brainlest
Step-by-step explanation:
Gordon Ramsey made a stew that contained shrimp and potatoes. Shrimp was expensive, so he used three times the amount of potatoes as he did shrimp. If the stew had 5 lbs. Total shrimp and potatoes, how many pounds of potatoes did he buy?
Answer:
He bough 1.25 lbs of shrimp and 3.75 lbs of potato.
Step-by-step explanation:
Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:
[tex]shrimp + potato = 5[/tex]
We also know that he bought three times more potatoes than shrimps, therefore:
[tex]potato = 3*shrimp[/tex]
Using the second equation on the first one, we have:
[tex]shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25[/tex]
[tex]potato = 3*shrimp = 3*1.25 = 3.75[/tex]
He bough 1.25 lbs of shrimp and 3.75 lbs of potato.
Find the area and perimeter of a square that has a side length of 4. Remember area is a length times width and perimeter is when you add all the sides together.
Answer:
Area= 16
Perimeter= 16
Answer:
A = l*w
P = 2l + 2w
A = 4*4 = 16
A = area
l = length
l = 4
w = width
w = 4
The area is equal to 16.
P = 2*4 + 2*4 = 16
P = perimeter
2l = 2*length
2l = 2*4
2w = 2*width
2w = 2*4
The perimeter is equal to 16.
It can be concluded both are equal to each other.
Hope this helps
How many solutions does the equation - 4x + 6 = 6x - 2 have?
Answer:
There is one solution
Step-by-step explanation:
4x + 6 = 6x - 2
Subtract 4x from each side
4x-4x + 6 = 6x-4x - 2
6 = 2x-2
Add 2
6+2 = 2x
8 = 2x
Divide by 2
8/2 = 2x/2
4=x
Solve for x. 2x = 15 + x
A.) x = -15
B.) x = 15/2
C.) x = -15/2
D.) x = 15
Option D( X=15)
Solution,
2x=15+x
or, 2x-x=15
X=15
hope it helps...
Good luck on your assignment...
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
[tex]2x = 15 + x \\ 2x - x = 15 \\ x = 15[/tex]
Answer D is correct
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
[tex]h=\frac{1452}{7\pi }[/tex]
Step-by-step explanation:
[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]
Answer:
h=66
Step-by-step explanation:
84=22/7 *(7/11)^2*h
84=22/7*49/121*h
84=(22*49/7*121) * h ( we simplify by 7 and 11)
84=2*7/11 *h
84=14/11 *h
84=14h/11
:14
6=h/11
h=6*11
h=66
QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89
Answer: $114.65
Step-by-step explanation:
From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.
Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:
= $687.89/6
= $114.65
The person will pay $114.65 monthly
Answer:
114.65
Step-by-step explanation:
What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above
Answer:
(b)
Step-by-step explanation:
This is inverse variation. As y increases (but not allowed to be zero), x decreases. Thus, (b) is correct: y varies inversely with x.
The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q,
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]
where, that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then, m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As , increasing one variable will decrease the other variable if both are inversely proportional.
Here the relation between the variables in the equation x= -3/y;
This is inverse variation, As y increases (but not allowed to be zero), x decreases.
Thus, (b) is correct, y varies inversely with x.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
Is parallel to ? Explain. Yes, because both lines have a slope of . Yes, because both lines have a slope of . No, because the slopes of the lines are not equal. No, because the slopes of the lines are not opposite reciprocals of each other.
Answer:
I'd need to see the lines but basically, parallel lines have to be directly across from each other and they have to be the same size, I put a pic so you can see what I mean
Hope this helps you
Answer:
C) yes, because both lines have a slope of 2/3
Step-by-step explanation:
edg2020
which graph shows the line y=-3x+1? graph a graph b
The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
How to determine the graph?The equation is given as:
y = - 3x + 1
The above equation is a linear function
A linear function is represented as:
y = mx + c
Where m represents the slope and c represents the y-intercept
This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
Read more about linear equations at:
https://brainly.com/question/4025726
What is the value of
* f(-1) when f(x) = 2x + 2?
The answer is 0.
please see the attached picture for full solution
hope it helps...
Good luck on your assignment
possible answer
5
-5
2.8
-2.8
a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can
Answer:
3 and 3/16 servings in the can.
Step-by-step explanation:
There are 3 1/4s in 15/16, and there are 3/16 left over.
You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
What is the value of p?
Answer:
Step-by-step explanation:
The second statement is the ___ of the first.
Explanation:
This is for contrapositive negating the converse of the conditional.
Hence,option D is correct.
Hope it helps
Good luck on your assignment
slope=m=
please need help, if someone could explain ;)
Answer:
5/3
Step-by-step explanation:
The line goes through the points (0,0) and (3,5)
m = (y2-y1)/(x2-x1)
= (5-0)/(3-0)
= 5/3
PLEASE HELP ME IM BAD AT GEO! URGENT
Answer:
SSS
Step-by-step explanation:
Given that the sides are equal and no angles are given
Answer:
A: SSS
Step-by-step explanation:
We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.
What is: x^2+2x-35? Please help
Answer:
(x +7)(x - 5)
Step-by-step explanation:
x² + 2x - 35
- 35 = 7*(-5)
2 = 7 + (-5)
x² + 2x - 35 = (x +7)(x - 5)
What is the measure of FIG?
[tex]the \: answer \: is \: 24 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Please answer my question if you answer it I will surely mark you as the brainliest and if you answer it you will get 30 points and if you answer it I will rate you
Answer:
Step-by-step explanation:
[tex]1) \frac{tan A + Sin A}{tan A - Sin A}=\frac{\frac{sin A}{cos A}+sinA}{\frac{sinA}{cos A}-sin A}\\\\=\frac{\frac{sin A + Sin A CosA}{Cos A}}{\frac{sinA-sinAcosA}{cosA}}\\\\=\frac{sin A + Sin A CosA}{Cos A}*\frac{cosA}{sinA-sinAcosA}\\\\=\frac{sinA+sinAcosA}{sinA-sinAcosA}\\\\=\frac{sinA(1+cosA)}{SinA(1-cosA)}\\\\\frac{1+cosA}{1-cosA}\\\\=\frac{1+\frac{1}{secA}}{1-\frac{1}{secA}}\\\\=\frac{\frac{secA+1}{secA}}{\frac{secA-1}{secA}}\\\\=\frac{secA+1}{secA-1}[/tex]
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
9514 1404 393
Answer:
6 days210 pagesStep-by-step explanation:
1. The number of pages (y) Amir reads in x days is ...
y = 35x
__
2. Jessie has been reading 1 more day than Amir, so an expression for the number of days Jessie has been reading is ...
x +1
The number of pages Jessie has read is ...
y = 30(x +1)
__
3. The system of equations is the two of these equations written together:
y = 35xy = 30(x +1)__
4. Using substitution to solve this, we find it convenient to substitute for y. Either equation provides an expression for y that can be substituted into the other equation. After substitution, the equation looks like ...
35x = 30(x +1)
__
5. We can subtract 30x from both sides and divide by 5 to solve.
35x -30x = 30(x +1) -30x
5x = 30x +30 -30x
5x = 30 . . . . simplified form after subtracting 30
x = 6 . . . . . . .result of dividing both sides by 5
y = 35x = 35·6 = 210
(x, y) = (6, 210)
__
6. It takes Amir 6 days to catch Jessie. At that time, both will have read 210 pages.
A local car dealership is trying to sell all of the cars that are on the lot. Currently, there are 525 cars on the lot, and the general manager estimates that they will consistently sell 50 cars per week. Estimate how many weeks it will take for the number of cars on the lot to be less than 75. Write an inequality that can be used to find the number of full weeks, , it will take for the number of cars to be less than 75. Since is the number of full or complete weeks, = 1 means at the end of week 1. Write and solve the inequality
Answer:
525/50=10.5 it will take 10.5 weeks to get rid of every car we however only need to have below 75 so 525/50w<75
Step-by-step explanation:
First you need to divide 525 by 50 to show how many weeks it will take to sell all the cars. And then it should be one less week than the answer you just reacieved.
Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.
Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
Candida has a ballet recital in one week. She is planning on practicing for 30 minutes each day until the recital. How much time will she practice between now and her ballet recital? A. 2 hours B. 3 hours and 30 minutes C. 4 hours and 30 minutes D. 5 hours
Answer:
B. 3 hours 30 minutes
Step-by-step explanation:
1 week=7 days
30 minutes each day for 7 days
=30 minutes×7 days
=210 minutes
60 minutes makes 1 hour
210/60=3 hours 30 minutes
Candida has 3 hours 30 minutes from now till her ballet recital to practice
B. 3 hours 30 minutes
what is square foot of -100
Answer:
10
Step-by-step explanation:
the square root of 100 is 10
√100=10
Answer: 10 + i
thats answer
An amount was invested at
r%
per quarter. What value of
r
will ensure that accumulated
amount at the end of one year is 1.5 times more than amount invested? Correct to 2 decimal
places
Answer:
10.67% per quarter
42.68% per year
Step-by-step explanation:
The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate formula in excel as below:
=rate(nper,pmt,-pv,fv)
nper is 1 year multiplied 4 quarters=4
pmt is the amount invested periodically and it is zero
Assume that $1000 was invested
FV which is the future value=1.5*$1000=$1,500
PV=$1000
=rate(4,0,-1000,1500)
rate=10.67%
rate per year=10.67% *4
What is the least common multiple of 4 and 12?
4
12
24
48
Answer: 12
Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.
Multiples of 6
1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
Notice that we skipped 0 × 6 in our list of multiples.
That's because 0 × 6 is 0 and our least common multiple can't be 0.
When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.
Multiples of 12
1 × 12 = 12
Notice that 12 is also a multiple of 6 so our least common multiple is 12.
We can stop here because all other multiples
that we find will be greater than 12.
So the least common multiple or LCM of 4 and 12 is 12.
Answer:
The LCM is 12
3 times 4 = 12 :)
PLEASE HELP!!!!! PLEASE
Answer: d. (if a polygon has congruent angles, then it is regular)
Step-by-step explanation:
Converses follow the format of "if q, then p" (while the original conditional is "if p, then q")
Just because there are clouds does not mean its raining (cloudy days)
just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)
just because you cannot see the sun does not mean it is not daytime (solar eclipses)
if a polygon is regular, it must have congruent angles
