Answer:
Ok, here we have the sequence:
0.25, 1.75, 3.75, 5.75, 7.75, …
First let's define the two most common types of sequences:
Arithmetic: The difference between any two consecutive terms of the sequence is always the same.
Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).
Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:
1.75 - 0.25 = 1.5
3.75 - 1.75 = 2
5.75 - 3.75 = 2
So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.
(it would be if the first term was -0.25 instead of 0.25).
Now let's try with geometric.
To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:
1.75/0.25 = 7
3.75/1.75 = 2.14
Well, we can see that the quotients are different, then this can not be a geometric sequence.
Then the answer will be neither.
If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:
a₀ = 0.25
a₁ = 1.75
aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
1. What are the side lengths of the scaled copy?
2. Suppose you want to scale the copy back to its original size. What scale factor should
you use?
Answer:
[tex]New\ Lengths = (14,21)[/tex]
[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]
Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor
[tex]New\ Lengths = (2,3) * 7[/tex]
[tex]New\ Lengths = (2 * 7,3* 7)[/tex]
[tex]New\ Lengths = (14,21)[/tex]
Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;
[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]
Ruth borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Ruth paid for the book when
she returned it x days after
the due date:
2 + 0.25x
What does the second term of the expression represent?
The total late fee paid
The late fee per day for the book
The number of days the book was overdue
The fixed rental for the book
Answer:
The answer will be the fixed rental for the book
Step-by-step explanation:
Solve for b: r = (2x + b)/ a
Answer:
b=ra-2x
Step-by-step explanation:
You solve for b by simplifying both sides of the equation then isolating the variable.
Multi step inequality
-2b + 4 > -6
Answer:
b < 5
Step-by-step explanation:
-2b + 4 > -6 ⇒ subtract 4 from both sides
-2b > - 6 - 4
-2b > -10 ⇒ divide both sides by -2, it will change inequality sign to opposite
b < 5 ⇒ answer
7|12x+3|- 1=62 hhih
Answer:
a. x = ½, and x = -1
Step-by-step explanation:
Given the equation, 7|12x + 3| - 1 = 62, solve as follows:
Add 1 to each side of the equation
7|12x + 3| = 62 + 1
7|12x + 3| = 63
Remove the absolute value to create ± on the right side of the equation
7(12x + 3) = ±63
Solve the positive portion of the solution
7(12x + 3) = 63
84x + 21 = 63
Subtract 21 from both sides
84x = 63 - 21
84x = 42
Divide both sides by 84
x = 42/84
x = ½
Solve the negative portion of the solution
7(12x + 3) = -63
84x + 21 = -63
Subtract 21 from each side of the equation
84x = -63 - 21
84x = -84
Divide both sides by 84
x = -84/84
x = -1
The answer is: x = ½, and x = -1
Answer:
sorry i cant see i need a better pictureStep-by-step explanation:
Simplify the following expressions.
(x^-8/y^11)^-2
Please
Answer:
y ^22 x ^16
hope this helps
write an equation of the line that passes through the given point P and has the given slope m. P(5,4), m=4
Answer: y = 4x - 16
Step-by-step explanation:
Using the point slope formula to plug in your point and slope, I found
y - 4 = 4 (x - 5)
After simplifying it into an equation of the line I got y = 4x - 16
A family paid $30600 as a down payment for a home. If this represents %17 of the price of the home, find the price of the home
Answer:
180000
Step-by-step explanation:
30600/17=1800
1800•100=180000
Answer:
$180,000
Step-by-step explanation:
First you have to change 17% into a decimal which would be 0.17 which makes it easier to work with.
If we put this into an equation we know some value of x is the original price of the house and 0.17 (17%) of this unknown x is 30600.
Therefore: x * 0.17 = 30600
We divide 0.17 on both sides to cancel it on the left and get x by itself.
Now x = 30600/0.17
We get x = $180,000
Therefore, the original price of the home was $180,000.
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan
A according to the number of minutes used is shown in the table.
Monthly Charge for Plan A
Minutes used, X Monthly charge ($), y
0
14.45
3
14.84
6
15.23
9
15.62
12
16.01
Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total
monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that
represents the cost of plan B?
Answer:B .17
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Edg
what is the answer? first corret answer will get branliest
Answer:
the second one I believe as they have the same shape and size
Answer:
oop
Step-by-step explanation:
Ellie is 5 times as old as her sister Emma. In 2 years Ellie will be 3 times as Emma. How old is Emma now?
Answer:
8 years old maybe.
please help i need it quick
2x + 5x-4-7 (x+1) - 5
The answer is -16
Hope this answeris helpful....
Hope this answeris helpful....Make me as brainliest....
A rectangular lot is 140 meters long and 100 meters wide. Give the length and width of another rectangular lot that has the same perimeter but a larger area.
Step-by-step explanation:
Length of rectangle is 140 m and its breadth is 100 m
Perimeter = sum of all sides
For rectangle, P = 2(l+b)
P = 2(140+100)
P = 480 m
Area = length × breadth
For a rectangle, A = lb
A = 140 × 100
A = 14000 m²
We need to write the length and breadth such that it has the same perimeter but a larger area.
Let the length is 110 m and breadth is 130 m.
Perimeter, P = 2(110+130)
P = 480 m
Perimeter is same as previous
Area, A = 110 × 130
A = 14300 m²
Area is more than the initial area.
Hence, this is the required solution.
answer:
it's [tex]\boxed{L=130, \W=110}[/tex]
explanation:
[tex]\boxed{L=140}\\\boxed{W=100}\\P=2(L+W)\\P=2(140+100)\\\boxed{P=480m}\\A=L*W\\A=140*100\\\boxed{A=14000m^{2}}[/tex]
It's easy to get a Length and Width with an equal Perimeter as this rectangle, how? the key is in the Perimeter formula for rectangle, it is literally 2 times the sum of the Length and Width, so [tex]2(L+W)=2(sum)[/tex], that means we can change the value of both the Width and the Length as long as the sum of both the Length and the Width is equal;
[tex]\boxed{L=140}\\\boxed{W=100}\\L+W=140+100=\boxed{240}[/tex]
to change these values and still have a perimeter equal to 480 meters, and an area larger than 14,000 meters square, we gotta have a length and a width that have a sum of 240 and still maintain a hundred place value, for example 130 and 110, not 150 and 90, because [tex]150*90=13500[/tex] which is less than our goal; while [tex]130*110=14300[/tex], note that as long as one of the values doesn't fall below 100 you're solid.
Please help me answer the question
Write the equation of the line fully simplified slope-intercept form.
Answer:
y=-x+2
Step-by-step explanation:
The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.
Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.
We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!
So our final equation in slope-intercept form will be y=-x+2
Answer: Think it is y=2x+2
Step-by-step explanation: because whats your y intercept it is on the two. Whats your x intercept it is also on the a 2.
-27 divided by 3
haha i’m really bad
Answer:
-9
Step-by-step explanation:
negative divided by positive = negative.
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given. Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds. Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds. Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds. Which driver had the fastest typical race time? Driver A Driver B Driver C Driver B or C
Answer:
b is the correct answer
Step-by-step explanation:
please help me out !!
f(5x+4) = 25x^2 - 15x - 28 is your answer
Which number is an integer?
3
O
O 0
O 2.3
Answer:
3 is an integer
Step-by-step explanation:
intergers are numbers that are not a fraction.ie a whole number.
Select the solutions of the equation. x2 + 3.5x - 2 = 0
Answer:
x₁ = -4
x₂ = 0.5
Step-by-step explanation:
x² + 3.5x - 2 = 0 * 2
2x² + 7x - 4 = 0
(2x + 8)(2x -1)/2 = 0
2(x + 4)(2x - 1)/2 = 0
(x + 4)(2x - 1) = 0
x + 4 = 0
x₁ = -4
2x - 1 = 0
2x = 1
x₂ = 1/2
x₂ = 0.5
A landscaper installs 12 sections of trail he's his partner installs 12.5 sections of Trellis the neighbor installs $3.16 sections of Trellis.How much trailers do they install together?
Answer:
They installed 2 7 .6 6 trailers altogether
Step-by-step explanation:
Given that:
A landscaper installs 12 sections of trail
he's & his partner installs 12.5 sections of Trellis
the neighbor installs $3.16 sections of Trellis.
The number of trailers they install together can be calculated by finding the summation of all the value given.
i.e
The number of trailers they install together;
1 2 . 0 0
= + 1 2 . 5 0
3 . 1 6
2 7 .6 6
Multiply.
(+8)(-7/4)
Answer:
-14
Step-by-step explanation:
If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
.000025 in scientific notation
Answer:
[tex]2.5 \times 10^{-5}[/tex]
The mathematical model C(x) = 500x + 100,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how many items were produced if expenses were $250,000 in one month?
Answer:
300
Step-by-step explanation:
Fill in the given value and solve for x.
C(x) = 500x +100000
250000 = 500x +100000
500 = x + 200 . . . . . . divide by 500
300 = x
300 items were produced if the month's expenses were $250,000.
Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option would be the best for him at a current inflation rate of 1.5%?
Here is the complete question
A nominal interest rate of 5%
A real interest rate of 5%
A real interest rate of 3%
A nominal interest rate of 3%
Answer:
A real interest rate of 5%
Step-by-step explanation:
A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.
The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.
So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year
some of the apollo missions transported astronauts from earth to moon. the travel time was about 3 days and about 385,000 kilometers. what is the average speed of the trip in miles per hour
ava said "There are only three hundred 3- diget numbers" is her statement true or faulse
Answer: i think its false
What is the 24,40,56,72 pattern?
This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.
40 - 24 = 16
56 - 40 = 16
72 - 56 = 16
Therefore, the common difference is 16.
Best of Luck!
Answer:
It is minus 16
Step-by-step explanation:
72-56= 16
56-40= 16
40-24= 16
-16 is the pattern
Write 3•3•3•3 in exponential form
Answer:
[tex]3^4[/tex]
Step-by-step explanation:
There are four 3's
[tex]3\times 3\times3\times3 = 81\\\\3^4 = 81[/tex]
Answer: 3⁴
Explanation: Exponential form contains a base and an exponent.
The base is the number that is multiplied.
So in this case, 3 is the base.
Next we write the exponent which is the
number of times that the base is multiplied.
Since 3 is multiplied four times, the exponent is 4.
So in exponential form, 3 · 3 · 3 · 3 can be written as 3⁴.
What is the solution set for 3(1−r) −7
r 7
Answer:
-25
Step-by-step explanation:
3(1−7)−7