Answer:
Quadrant 4
Step-by-step explanation:
Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5
Answer:
a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Step-by-step explanation:
a.
∵ T(n) = 2n² + 4 is the rule of the sequence, where
n is the position of the number in the sequence∴ For the first term, n = 1
→ Substitute n by 1 in the rule above to find T(1)
∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4
∴ T(1) = 6
→ For the second term, n = 2
∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4
∴ T(2) = 12
→ For the third term, n = 3
∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4
∴ T(3) = 22
→ For the fourth term, n = 4
∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4
∴ T(4) = 36
→ For the tenth term, n = 10
∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4
∴ T(10) = 204
The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b.
∵ T(n) = 3n² - 3 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3
∴ T(1) = 0
→ For the second term, n = 2
∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3
∴ T(2) = 9
→ For the third term, n = 3
∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3
∴ T(3) = 24
→ For the fourth term, n = 4
∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3
∴ T(4) = 45
→ For the tenth term, n = 10
∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3
∴ T(10) = 297
The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c.
∵ T(n) = -3n² + 7 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7
∴ T(1) = 4
→ For the second term, n = 2
∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7
∴ T(2) = -5
→ For the third term, n = 3
∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7
∴ T(3) = -20
→ For the fourth term, n = 4
∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7
∴ T(4) = -41
→ For the tenth term, n = 10
∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7
∴ T(10) = -293
The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d.
∵ T(n) = 4n² - 5 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5
∴ T(1) = -1
→ For the second term, n = 2
∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5
∴ T(2) = 11
→ For the third term, n = 3
∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5
∴ T(3) = 31
→ For the fourth term, n = 4
∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5
∴ T(4) = 59
→ For the tenth term, n = 10
∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5
∴ T(10) = 395
The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
What role does Geometric formulas have in our lives??
What is x. In x − 7 = 13.
Answer:
x=20
Step-by-step explanation:
simplify. write your answer in standard form.
-4-8x+2x-15
Answer:
x=2
Step-by-step explanation:
You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?
Answer:
-13.64
Step-by-step explanation:
no explanation needed. Hope this really helps! :):) :) :) :)
13.64 decimal represents the total variation in water level that Ericka observed.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, You can multiply -2.2 by 6.2 to find the total variation in water level.
Since it is already given that the multiple of -2.2 and 6.2 will give the total variation of water level.
Thus, the decimal represents the total variation in water level that Ericka observed = -2.2 * 6.2
the decimal represents the total variation in water level that Ericka observed = 13.64
therefore, the decimal represents the total variation in water level that Ericka observed is 13.64.
Learn more about Mathematical operations here:
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how do you multiply powers that have the same base
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents
Carter's football team played 10 games this season.
They won only 20% of their games. How many games
did Carter's team lose?
Answer:
Carter's football team lost 8 games.
The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function? The company earns 20% of the issue price as profit from each copy sold. The company earns 20 cents as profit from each copy sold. The company spends 20% of the issue price on materials to produce each copy. The company spends 20 cents on materials to produce each copy.
Answer: 20cents
Step-by-step explanation;
Company spends 20 cents on materials to produce each copy
f(x) represents the average cost in dollars for a company
x represents the number of copies of comic produced by company.
Total cost in dollars for a company = 80,000 + 0.2x
Since, x is the number of copies of comic produced ,
0.2x indicates that it spends $0.2 on material to produce each copy.
Use conversion:
1 dollars = 100 cents
0.2 dollars = 20 cents.
Answer:
The correct option is D the company spends 20 cents on materials to make each copy
Step-by-step explanation:
Vocabulary Which statements are true about opposites? Choose all that apply.
Answer:
where are the options?
Step-by-step explanation:
A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?
The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means
(8 - 4) / (6 - n) = 2
Solve for n :
4 / (6 - n) = 2
4/2 = 6 - n
2 = 6 - n
n = 6 - 2
n = 4
HELP QUICK PLEASE!!!
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Answer:
1, 4 nope 2, 3 yep
Step-by-step explanation:
What does the word “keep” mean in “keep change flip” a) keep everything the same b) keep the first fraction the same c) keep the second fraction the same d) keep the sing the same.
Answer:
That's the rule used to divide fractions.
So keep the first fraction, change the sign from divide to multiply, then flip the second fraction.
Example:
1/2 ÷ 3/5 --> 1/2 x 5/3
Kathy deposits $25 into an investment account with an
annual rate of 5%, compounded annually. The amount in
her account can be determined by the formula A = P(1 + R),
where P is the amount deposited, R is the annual interest
rate, and t is the number of years the money is invested. If
she makes no other deposits or withdrawals, how much
money will be in her account at the end of 15 years?
Answer:
25 x 1.05^15 = $51.97
Please help me the picture is above I’ll mark you as the brainliest but please show the work. Thank you! :)
a) whatever is in the bracket you substitute into x.
c(100) = (1.25*100) + 2175
= 125 + 2175
= 2300
Another exmaple: if it says c(2 + x) then you substitute that into x
→ 1.25(2 + x) + 2175 (and then expand that)
b) A physical interpretation of this could be:
For every 1.25 w-widget that is produced, you would add $2175 for the other costs. (something like that)
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Assuming you want to arrive as close to the scheduled time as possible, from which airline should you buy your ticket? Justify your response by addressing both the measures of center and spread of the distributions.
Answer:
Airline Q because it has the most on time arrivals and it is spread out to have more early arrivals than airline p
Step-by-step explanation:
Are rational numbers closed under squaring?
Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
One pound of apples is $2. You have no more than $13 to spend on apples
Answer:
You are able to by 6 apples with $1.00 dollars remaining.
Step-by-step explanation:
I'm not sure what you were trying to ask because you didn't leave a question in the statement you provided
Answer:
You can buy 6 pounds of apples.
Step-by-step explanation:
13 is an odd number, so we find the closest even number that doesn't go over 13. That number is 12. Then, we take 12 and divide it by 2, since $2 is how much a pound of apples cost. 12 divided by 2 is 6. So, our answer is 6 pounds of apples.
Hope this helped you!
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answer:
No.
Step-by-step explanation:
We will figure this out using subtraction.
96-24=72
112-28= 84
Simplified:
72/9= 8
84/9=9.33
So, no. They are not equivalent. Also is there any context?
Answer:
what you need help with
Step-by-step explanation:
What does the pattern in the residual plot indicate about the type of model?
a. The pattern is random, indicating a good fit for a nonlinear model.
b. The pattern shows the points are far from the zero line, indication a good fit for a linear model.
c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
e. The pattern is random, indicating that the model is unable to be determined.
Answer: c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
Step-by-step explanation:
A residual plot is a graph that represents
residuals on the vertical axis independent variable on the horizontal axis.Two main kids of plot are there.
First plot gives a random pattern, indicates a good fit for a linear model.
Other plots are non- random, indicates a good fit for a non- linear model.
Two points are correct for any residual plots :
c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
Without solving, how can you tell that the inequality 4x + 8 = 4x - 3 has no solution?
Answer:
there are no x values of X that make the equation true
Step-by-step explanation:
The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution or the equation is wrong.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
Given the equation
4x + 8 = 4x - 3
Subtract 4x from both sides
4x + 8 - 4x = 4x - 3 - 4x
(4x - 4x) + 8 = (4x - 4x) - 3
8 ≠ 3
Since it is not satisfying so it will not have any solution.
Hence "The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution".
For more about the equation,
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The triangle shown below is translated 5 units down and 3 units to the left. What are the coordinates of the vertices of the translated triangle? * D 2 3 4 O (2.0), (2-1), and (-1,-4) O (2,10).(-2,9), and (-1, 11) 0 (0,2).(-4,1), and (-3,-2) 0 (0,8).(-4,7), and (-3, 4)
Answer:
Where's the picture?
Step-by-step explanation:
Graph: y – 3 =} (x + 2)
Answer:
f
−
1
(
x
)
=
x
−
3
Step-by-step explanation:
Find the LCM.
5, 20, 68
simplify 7/9 14 (please help)
the answer is 1/18 i belive bc in the way u asked this is kinda confusing so im sorry if im wrong
y=50(3)^20
please please please answer soon 20 points
Answer:174339220050
Step-by-step explanation: Raise 3 to the 20th power, then multiply by 50
Write each number in scientific notation.
160,000,000
29,830
0.000350
Please answer asap!!
Thank you
Answer:
one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths
Step-by-step explanation:
Each of the numbers written in word form instead of standard form. Hope it helps!
please help I have no clue how to do this
Answer:
[tex]x=43\\[/tex]°
Step-by-step explanation:
considering m║n, the two labeled angles are alternate exterior angles. alternate exterior angles are equivalent. So you will have an equation of:
[tex]4x-27=3x+16[/tex]. Add 27 on both sides and get: [tex]4x=3x+43[/tex]. subtract [tex]3x[/tex] from both sides to get: [tex]x=43[/tex]°.
whats the answer to number 3? please and thank you! and please provide steps
Answer:
33°
Step-by-step explanation:
In triangle ABC,
<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]
2x+15+2x+x=180
5x=180 - 15
x=165/5
x=33°
Hope this helps!!
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
o y = -xx-1
y=-{x+5
O y = 2 x 1
y=x+5
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?
−6
−5
5
6
I will give brainliest
Answer: Probably m = -1/6 and b = 5
Warning: I might be wrong.
Answer:
5
Step-by-step explanation: