PLEASE HELP ASAP!!!!!!!!
Write the first five terms of the sequence defined by the function below.
Answers
Answer:
The first 5 terms are;
-2, 2, 13,38 and 91
Step-by-step explanation:
Here, we want to write the first 5 terms of the sequence.
We already have the first term as 1
Now, we need the 2nd term
Putting two in place of n, we have ;
2f(1) + 3n
= 2(-2) + 3(2) = -4 + 6 = 2
For the 3rd term, put 3 in place of n
2f(2) + 3(3)
sine f(2) = 2, we have
2(2) + 9 = 4+ 9 = 13
For the fourth term, put 4 in place of n, we have
2f(3) + 3(4)
since f(3) = 13
we have; 2(13) + 12 = 26 + 12 = 38
For the 5th term, put 5 in place of n, we have
2f(4) + 3(5)
since f(4) = 38, we have
2(38) + 15 = 76 + 15 = 91
Related Questions
Graph the inequality of y less than or equal to2x + 2?
Answers
First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
Answers
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Answers
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Find the sum of the first 15 terms: {12, 36, 108, . . . }.
Answers
Answer:
Step-by-step explanation:
hello : here is an solution
A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answers
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$39,000
Step-by-step explanation:
i = prt
i = ($30,000)(.10)(3)
$9000 + 30000
Answer:
$39000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30000 × 10/100 × 3
I = $9000
She have = 9000 + 30000 = $39000
What is the area of the circle with a D equals 10
Answers
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
Leanne is trying to convert x^2+4x-6=0 the standard form to vertex form by completing the square which equation shows the correct form
Answers
Answer:
In vertex form we have y = (x + 2)^2 - 10
Step-by-step explanation:
x^2+4x-6=0 is in standard form; we want it in the form y - k = a(x - h)^2.
Complete the square within x^2+4x-6=0
We get x^2 + 4x - 6 = 0 => x^2 + 4x + 4 - 4 - 6, or
y = (x + 2)^2 - 10
Comparing this to y = (x - h)^2 - 10, we see that the vertex is at
(h, k) : (-2, -10)
Answer: [tex](x+2)^2-10=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-6=0[/tex]
Let 0 = y to not mix up the numbers.
[tex]x^2+4x-6=y[/tex]
we are trying to get to this form: [tex]y=a(x-h)^2+k[/tex]
Let's group the variables to make it easier for us to complete the square.
[tex](x^2+4x)-6=y[/tex]
Complete the square by taking the number next to the x variable (4) divide it by 2 (4/2=2) and square it ([tex]2^2=4[/tex])
Add this.
[tex](x^2+4x+4)-6=y[/tex]
You also have to add it to the right side, but since we're looking to isolate y again, we're going to have to move it to the left side eventually; therefore, we can simply change the sign and add it to the left side.
In other words, instead of doing this:
[tex]-6=y+4\\-6-4=y[/tex]
I'm going to directly say the opposite of +4 is -4
[tex](x^2+4x+4)-6-4=y[/tex]
Now factor the parentheses and combine like terms;
[tex](x+2)^2-10=y[/tex]
And like we said y = 0, so change that...
[tex](x+2)^2-10=0[/tex]
Which equation could be used to find the length of the hypotenuse?
Answers
Answer:
A
Step-by-step explanation:
Answer:
6^2+11^2 = c^2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+11^2 = c^2
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, how many words will she speak?
Answers
Answer:
10125
from 10:30 to 11:15 is 45 mins so 225*45=10125
If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.
What is Equation?Two or more expressions with an equal sign is called as equation
Given that,
Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.
We know that in 1 hour we have 60 minutes.
From 10:30 am to 11:15 am we have 45 minutes.
Now we can formulate an equation
225/5=x/45
Apply cross multiplication
225×45=5x
10125=5x
Divide both sides by 5.
x=2025.
Hence 2025 words she can talk from 10:30am to 11:15am.
To learn more on Equation click:
https://brainly.com/question/10413253
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Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?
Answers
Answer:
The answer is (-$200) to the left
Step-by-step explanation:
Solution
It is assumed that when a number is positive, it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as deposit to a bank account, then a negative number is a withdrawal from that bank account.
So, If a positive number means addition, then a negative number would also mean subtraction.
The amount that represents a withdrawal of less than $200 would be (-$200)
how do you find volume on cylinder with radius and height
Answers
Answer:
V = pi r^2 h
Step-by-step explanation:
The formula for the volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Answer:
pi × r² × h
Step-by-step explanation:
Formulae for volume of a cylinder is:
V = pi × r² × h
Where,
r is the radius
h is the height
For pi, either use the value on the calculator or an approximate value of 3.14
Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
What is the largest possible number that she could choose as one of the seven numbers?
The largest possible number that she could choose as one of the seven numbers is _ _ because
Answers
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
9.3 with a bar on top as a fraction
Answers
Whenever you see a decimal thaf has a number with a bar on top, you can write it as that number divided by 9.
For example, 0.444 bar on top is equal to 4/9.
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answers
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
factor: 10xsquared -11x-6=
Answers
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
Please help!
a The v-intercept in the year 2010 is less than the y-intercept in the year 2015.
b The v-intercept indicates that the value of the statue was $19,000 in they year 2010.
c The v-intercept indicates that the value of the statue increased by 12% in one year.
d The v-intercept is 112% greater than the value of the statue in 2010.
Answers
what is the amount paid or charged for something.
Answers
Answer:
cost
Step-by-step explanation:
Answer:
It is the cost
Step-by-step explanation:
Annette plans to visit an amusement park where she must pay for admission and
purchase tickets to go on the rides. Annette wants to find the total cost for a day at
the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost
for a day at the amusement park. What could the number 12 represent in Annette’s
equation?
Answers
Answer:
...
Step-by-step explanation:
Answer: the cost of admission
Step-by-step
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answers
f(x)=(0)^2+3(0)+5
f(x)=5
So your y intercept
Is y=5 or (0,5)
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.
9.5 cm
10 cm
8.5 cm
Answers
Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast
Answers
Answer:
Multiplication Property of Equality
Step-by-step explanation:
Answer:
Division Property of Equality..
Step-by-step explanation:
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answers
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
Read more about coordinates at:
https://brainly.com/question/17206319
Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?
42
0.9
1
13
Answers
Answer: Claire made 42 muffins by closing time
Step-by-step explanation:
Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.
Can someone Help me with this
Answers
Answer:
33.165
Step-by-step explanation:
Answer:
33.165
Step-by-step explanation:
4.95*6.7= 33.165
hope this helps
PLEASE HELP ME! Awarding brainliest!!
Pythagorean theorem.
Answers
Answer:
116.6
Step-by-step explanation:
100^2 + 60^2 = c^2
1360 = c^2
square root of 1360 is 116.6
Answer:
Shortcut = 116.62
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]
PLEASE ANSWER ASAP will give beau ly
Answers
Answer: 23
Hope this helps :D
Answer:
h=39+16t
Step-by-step explanation:
Simplifying
h(t) = 16t2 + 39t
Multiply h * t
ht = 16t2 + 39t
Reorder the terms:
ht = 39t + 16t2
Solving
ht = 39t + 16t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 39 + 16t
Simplifying
h = 39 + 16t
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answers
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
Priya says, "There are exactly 4 points that are 3 units away from (-5, 0)." Lin says, "I think there are a whole bunch of points that are 3 units away from (-5, 0)." Do you agree with either of them?
Answers
Answer:
"I think there are a whole bunch of points that are 3 units away from (-5, 0)". Lin's statement is correct.
Step-by-step explanation:
from the question, the point has a coordinate (-5, 0) which can be plotted on a Cartesian plane to show its location or position. A Cartesian coordinate is a system that consists of two perpendicularly intersecting axis used for plotting of the locations or positions of given points.
There are a whole bunch of points that are 3 units away from (-5, 0) because real numbers that are 3 units away are more than 4. Real numbers consists of all rational numbers, fractions and irrational numbers. So if all real numbers that are 3 units away from (-5, 0) are plotted, then the points would be more than 4.
Therefore, Lin's statement is correct.
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3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is
Answers
Answer:
Step-by-step explanation:
6 - 2x = 5x - 9x + 10 {add the like terms}
6 - 2x = - 4x + 10 {add (-6) to both side}
6 - 2x - 6 = - 4x + 10 - 6
-2x = - 4x + 4 {add 4x to both sides}
-2x + 4x = -4x + 4 + 4x
2x = 4 {divide both sides by 2}
2x/2x = 4/2
x = 2
