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
Find the mean number of of hours for these students. Round to the nearest tenth
What is the measure of
Answer:
∠ RST = 72°
Step-by-step explanation:
∠ RST and 4x - 24 are alternate exterior angles and congruent, thus
4x - 24 = 3x ( subtract 3x from both sides )
x - 24 = 0 ( add 24 to both sides )
x = 24
Thus
∠ RST = 3x = 3 × 24 = 72°
NEED HELP ASAP
The figure is reflected across line m and then reflected across line n. What is the resulting transformation?
reflection
glide reflection
rotation
translation
Answer:
A.)
Step-by-step explanation:
Answer:
i think translation
Step-by-step explanation:
or matbe reflection
>
Of the points shown below, which point
represents the number with the greatest
absolute value?
A B C D
+
-4 -3 -2 -1 0 1 2 3 4
Answer:
A
Step-by-step explanation:
As it is technically the highest number as the greatest absolute value is never negative.
Which equation is written in slope-intercept form?
O y = 3x-2
OX=
x-3y+8
O 2x+ 5y = 12
O 3y = 8x-5
Help
Answer:
[tex]y = 3x-2[/tex]
Step-by-step explanation:
[tex]general \: form of \: slope\: intercept \: is : \\ y = m(x) + c[/tex]
Burcu öğretmen elindeki 96 pembe kâğıdı erkek öğrencilere 136 mavi kâğıdı kız öğrencilere her bir öğrenci eşit sayıda kağıt alıcak şekilde paylaştırıyor sınıftaki öğrenci sayısı 30 dan fazla olduğuna Göre sınıf mevcudu en az kaçtır
Answer:bsnsnsksnsbs so yeah that’s your answer
Step-by-step explanation:
round 0.532 to the nearest hundredth
The answer is 0.53
This is because the second digit (in the decimal range) is in the hundredths.
2x - 5 = 9
Step 1: 2x - 5 = 9
+5 +5
_____________
2x = 14, - 5x and 5x will canceled out because it is equal to 0
Step 2: 2x = 14, Multiply both sides by 2
2x (2) = 12 (2)
x = 24
Step 3: Final Answer: x = 24
Answer:
pls report for spam
Step-by-step explanation:
The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this.
Answer:
If you need to find how deep Lake Michigan is, it is 280 meters below the surface
Step-by-step explanation:
is 2/2 a improper fraction ?
Answer:
no
Step-by-step explanation:
What is m m − 9 = −13
Answer:
m=-4
Step-by-step explanation:
hope that helps:)
Answer:
-4
Step-by-step explanation:
m= - 13 + 9
calculate
__________
solution
m=-4
Question 3
dilation of 2
K(-1,0), (1, 2), uſo,-2)
Which of the following sets of ordered pairs correctly identify
K', C' and U'?
OK(-1/2.0), C (1/2, 1). U (0.-1)
K(-2.0): C 12.4). U (2-4)
OK[-2.0): C 12,2). U (0,-4)
OK[-2.0): C (2.4). U (0-4
Answer:
The correct answer is K(-2,0) C(2,4) U ( 0,-4)
Step-by-step explanation:
A. it has no rotational symmetry
B. It has rotational symmetry with an angle of rotation of 180°
C. It has point symmetry
D It has recreational symmetry
PLEASE HELP WILL MARK BAINLIST
Eagletrons are all electric cars produced by Mogul motors. One of the concernsof Mogul is that the Eagletrons be capable of achieving appropriate maximumspeeds. To monitor this, Mogul executives take samples of 8 Eagletrons at atime. For each sample, they determine the average maximum speed and the rangeof the maximum speeds within the sample. They repeat this with 35 samples toobtain 35 sample means and 35 ranges. They find that the average sample mean is88.50 mph and the average range is 3.25 mph. Using these results, theexecutives decide to establish an R chart. They would like this chart to beestablished so that when it shows that the range of a sample is not within thecontrol limits, there is only approximately a .0027 probability that this is dueto natural variation. What will the upper control limit (UCL) and the lowercontrol limit (LCL) in this chart?
Trying to confirm that what I came up with is correct.
Answer:
upper control limit = 6.058
lower control limit = 0.442
Step-by-step explanation:
Given that:
The numbers of sample n Mogul executives took = 8 Eagletrons at a time.
They find out that the average sample mean is 88.50 mph and;
the average range [tex]\overline r[/tex] is 3.25 mph.
From the tables:
[tex]\text {Table values for n = 8 } \left \{ {{D_4=1.864} \atop {D_3=0.136}} \right.[/tex]
Control Limit = [tex]\overline r[/tex] = 3.25
Therefore; the upper control limit and the lower control limit can be computed as follows:
upper control limit = [tex]D_4 \overline r[/tex]
upper control limit = 1.864(3.25)
upper control limit = 6.058
lower control limit = [tex]D_3 \overline r[/tex]
lower control limit = 0.136(3.25)
lower control limit = 0.442
Roxy is multiplying 18 by 43.
Use the drop-down menu to complete the statement.
1
4
1
The product × will be
.
8
3
8
Answer:
774,
Step-by-step explanation:
The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth? fill in the blank 1
Answer:√29.5= 5.43139
Step-by-step explanation:
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?
Answer:
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
They did not run at same speed
Step-by-step explanation:
formula of speed = distance covered/ time taken
For Andre
Distance = 2 KM
time = 15 mins
60 mins = 1 hour
15 mins = 1/60 * 15 hour = 0.25 hours
thus,
speed = 2km/0.25 hour = 8 km per hour
Similarly for Jada
Distance = 3 KM
time = 20 mins
60 mins = 1 hour
20 mins = 1/60 * 20 hour = 1/3 hours
thus,
speed = 2km/(1/3)hour = 6 km per hour
Now we have
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
Renee used the values in the table to calculate simple interest.
Principal $750
Interest rate ?
Time 11 years
Interest $412.50
Which interest rate is missing from Renee’s table?
Question:
Which interest rate is missing from Renee’s table?
Answer:
Principal- $750
Interest Rate- $00.5
Time- 11 yrs. (Years)
Interest- $412.50
Explanation:
To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...
I = Interest amount paid in a specific time period (month, year etc.)
P = Principle amount (the money before interest)
t = Time period involved.
r = Interest rate in decimal.
Therefore we get an answer of $00.5
Answer:
c
Step-by-step explanation:
Please help :) (4-3i)(-3+6i)-(2-i)
Answer:
4+34i
Hope this helps!!!!!!
can someone answer these two for me?? thank you so much
Answer:
for first pic it's CD and for second pic that's option 1
Answer:
1=1
2=2
Step-by-step explanation:
hope this helps if they are wrong let me know i will fix it for you
What is the solution to
−(6m+8) =4(17−m)
Answer:
[tex]\boxed{m = -38}[/tex]
Step-by-step explanation:
[tex]-(6m+8) =4(17-m)[/tex]
→ Expand brackets
[tex]-6m-8=68-4m[/tex]
→ Add 8 to both sides to collect the whole numbers
[tex]-6m = 76-4m[/tex]
→ Add -4m to both sides to collect the m terms
[tex]-2m=76[/tex]
→ Divide both sides by -10 to isolate m
[tex]m=-38[/tex]
What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
Answer:
[tex](-4)^{3[/tex]*[tex]y^{2}[/tex]
This should be right.
If g(n) = n +2, find g(1)
Answer:
3
Step-by-step explanation:
because n=1 and you plug it in you get 3
A surveyor is surveying a street. The surveyor is standing at point B looking down the street at a No Parking sign at point C and a Stop sign at point A. Given BC = 4x-5 meters, BA = 20 meters, CA = 6 meters, and point C is between B and A, what is x in meters?
Answer:
i think x is bc=4x-5 meters
Step-by-step explanation:
The activity in Jamal's savings account for the month of December is shown in the table below.
Jamal's Savings Account
Starting Balance
$232
Deposit
$57
Deposit
$16
Withdrawal
$28
Withdrawal
-$42
Deposit
$105
Withdrawal
-$54
What was Jamal's account balance at the end of the month?
O $534
o $410
O $286
O $54
No
Answer:The answer is 286
Step-by-step explanation:just add and subtract
Answer:
C: $286
Step-by-step explanation:
add and subtract them
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY 0.9333 ?
¥99.07
¥93.33
¥100.93
Answer:
93.33
Step-by-step explanation:
You just multiply the $100 by the change rate to get the new currency
Answer:
107.15 :)
Step-by-step explanation:
You are traveling to Japan and need Japanese Yen (JPY)
We need to convert $100 USD to JPY
If conversion rate is $1USD = 0.9333JPY
The value of $1 USD is 0.9333 JPY
Let in $100 USD get x JPY
100/.9333
=107.15
It takes 4 people 10 hours to plaster a section of a building. How long will it take 8 people to
do the same job working at the same rate?
Answer:
5 hours
Step-by-step explanation:
Answer:
5 hours because you have double the people which means it would take half the time :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Bob needs to buy 300 pencils for
his class. If each box holds 25
pencils, how many boxes does he
need to buy?
Answer:
12
Step-by-step explanation:
300/25=12
12x25=300
kenji buys 3 yards of fabric for $7.47. Then he realizes he need 2 more yards, How much will the extra fabric cost?
The zeros of the quadratic x^2+4x=-2x+16 are x=-8 and x=2. What does this tell you about the graph of this quadratic function?
a. The parabola crosses the x-axis at x=-8 and x=2.
b. The parabola touches the x-axis only at and x=2.
c. The parabola does not touch or cross the x-axis.
d. The parabola crosses the x-axis at x=-8 and x=2 but you can ignore the zero x=-8 because it is negative.
The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).
What are zeros and graph of an quadratic equation?Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.
To find zeroes we can use quadratic formula that is
x = (-b ±√(b²-4ac))/2
Graph of the quadratic equation are points ( x , y(x) )
where y(x) = ax² +bx +c
when x= t is zero of quadratic equation ax² +bx +c = 0
then y(t) = 0
(t, 0) points are points on the x-axis.
Given an quadratic equation
x²+4x=-2x+16 has roots x =-8 and x =2
This can we written as x² +6x -16 =0
The graph of this quadratic equation is given by (x, y(x))
where y = x² +6x -16 which is a parabola
for x= -8 and x= 2 , y(-8) =y(2) = 0
Then (-8,0) and (2,0) are points on this parabola which are at x-axis
Therefore, the parabola y = x² +6x -16 crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.
Also learn more about the quadratic equations from the link below:
https://brainly.com/question/1863222
#SPJ2