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
Which point is a point where the graph of y = (x − 5)(x2 − 7x + 12) crosses the x-axis?
A. (-5,0)
B. (-3,0)
C. (4,0)
D. (12,0)
Answer:
answer is c (plato users)
Step-by-step explanation:
The point is a point where the graph of y = (x − 5)(x2 − 7x + 12) crosses the x-axis is (4,0).
The answer is option C (4,0)
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.equation of a straight line is y=mx+cy represents vertical line y-axis.x represents the horizontal line x-axis. m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.
solving the equation:-
⇒y = (x − 5)(x2 − 7x + 12)
⇒y= 2x²-7x²+12x-10x+35x-60
⇒y=-5x²+37x-60
Learn more about the straight lines here:-https://brainly.com/question/19380936
#SPJ2
A car drives eighty miles on seven gallons of gas. Determine the number of miles per
gallon.
Answer:
11.4 miles I hope I helped
Answer:98
Step-by-step explanation:I subtracted 80-7
Simplify
8a-8b
a2-b2
Answer:
-8a2b + 8a - b2
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(8a - 23a2b) - b2
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
-8a2b + 8a - b2 = -1 • (8a2b - 8a + b2)
Trying to factor a multi variable polynomial :
3.2 Factoring 8a2b - 8a + b2
Try to factor this multi-variable trinomial using trial and error
Answer:
-8a^2b - b^2 + 8a
Have a nice day and stay safe. Pls rate me and like.
: )
A cone has a radius and height of 15 inches. What is the volume of the cone?
Answer:
3532.5
Step-by-step explanation:
Here’s the equation you would followe
V=1/3h(3.14)r^2
H=height
R=radius
13+4+ 10 = 13+ 10 is that communicative property or associative property
Answer:
its commutative property
Answer:
It is communicative property :)
Step-by-step explanation:
21 2/3 divided 3 1/4
Answer:
256/39 or 6 22/39
Helpz
A stockbroker earns $53,000 annually plus 0.8% of his clients’ total investment portfolio. If his clients’ investments total $1.2 million, what is his commission this year?
Answer:
$62,600
Step-by-step explanation:
$53,000 + 0.8% of 1.2 mill is the answer0.8% = 0.8/100 = 0.0080.008 x 1,200,000 = 9,60053,000 + 9,600 = 62,600.Answer:
9,600
Step-by-step explanation:
Ok the mistake yall were doing was adding 9,600 with 53,000 when they were asking for the commission so basically plus it says "what is his commission this year?"
.8%
.8 x 100 = .008
1,200,000 x .008 = 9,600
five people are going to be seated in these chairs, from left to right The number of different ways they can be seated is
A)30
B)60
C)120
D)240
E)360
Answer:
C)120
Step-by-step explanation:
The number of people as well as the number of chairs is 5. Therefore, there are exactly 120 ways in which they can be seated.
What is the equation of the line that passes through the point (5,1) and has a slope
of 6/5?
Answer:
y-1 = 6/5(x-5) Point slope form
y-1=6/5x - 6
y-1 +1=6/5x -6+1
y = 6/5x - 5 Slope intercept form
y -6/5x + 5 = 6/5x-5 -6/5x+5
y-6/5x+5=0 General Form
PLEASE HELP!!! I WILL GIVE BRAINLIEST!! HURRY PLEASE!!
You have 4 1/4 yards of ribbon to tie the goodie bags. You will need 1/8 of
a yard for each goodie bag. Will you have enough ribbon to tie a
goodie bag for each persn at the party? Explain!
24 people.
Answer:
Yes, you will have enough ribbon
Step-by-step explanation:
16/4 divided by 1/8
32 people will get ribbon
Answer:
Yes you have enough
Step-by-step explanation:Multiply 1/4 times 2 that is 2/8, Already 2 people done.22 people are left and 4 whole yards of ribbon are left too, for every yard of ribbon you have right now its 8 people so , 4 times 8 is 32.So you have enough.
The algebra teacher said if you square my age then subtract 23 times my age, the result is 50. How old is he?
Answer:
25
Step-by-step explanation:
Answer:
She is 25
Step-by-step explanation:
25^2 = 625
23*25 = 575
625 - 575 = 50
Credit card sales (discount 3%) $ 8,600 Sales on account (3/15, n/60) $ 10,400 Sales returns related to sales on account were $500. All returns were made before payment. One-half of the remaining sales on account were paid within the discount period. The company treats all discounts and returns as contra-revenues. What amount will be reported on the income statement as net sales?
Answer:
$18192.50
Step-by-step explanation:
From the information given;
The amount that will be reported on the income statement as net sales can be computed as follows:
Particulars Amount ($)
Sales revenue $(8600 + 10400) $19000
Less: Credit card discounts
( contra - revenue) $(8600 × 3%) 258
Sales discounts
( contra - revenue)
[(10400 - 500)× 1/2 × 0.01 ] 49.50
Sales return and allowances
( contra - revenue ) 500
The net sale
(reported on the income statement) = $18192.50
what is 5x10^-7 as a decimal
AnsweStep-by-step explanation:
i would keep this up but i figured it out and now i understand
Answer: Ok then i'm happy for you!
Step-by-step explanation:
3/4x + 2 = 4 2/3
please help me with this!!
Pls help What is 64% of 225?
144
Step-by-step explanation:Hi there !
64% of 225 =
= 64%×225
= 64/100 × 225
= 64×225/100
= 14400/100
= 144
Good luck !
A horseshoe with nails weighs 8.2 ounces. Six nails are in each horseshoe. Each nail weighs 0.2 ounces
What is the weight of the horseshoe without the nails?
Write: x^2 + 8x + 10 in the form (x + a)^2 + b
Answer:
Step-by-step explanation:
Here, b=8 and c=10, so,
a=b/2
=8/2
=4
and
b=c-a²
=10-16
=-6
∴(x+a)²+b=(x+4)²-6
Pls mark me brainliest
Thank you guys for helping me. I need help on this one
Answer: 10 times 8 and 8 times 10
Step-by-step explanation:
those are the first in the multiplication table that have the same digits
Evaluate the following expression 6 x (5+3)3 - 2^3
Answer:
144x-8
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
6 x (8)3 -8
I assume 8(3) is a multiplication
6 x 24 - 8
144 - 8
136
plz help with my 8th grade mathy math
Answer:
N = 250
Step-by-step explanation:
-17 + [tex]\frac{n}{5}[/tex] = 33
+17 +17
[tex]\frac{n}{5}[/tex] = 50
50 x 5 = 250
n = 250
Answer:
n=250
Step-by-step explanation:
-17+n/5=33
n/5=33+17
n=50*5 =250
Check;put n=250,
-17+250/5
= -17+50
=33
NEED HELP ASAP PLS!!!
A high school club is conducting a cupcake sale at a local fair to raise money for a trip. The club members are baking a total of 444 cupcakes. Each cupcake will sell for 3.00. The display tables cost $75.00 to rent.
Part A:
If n is the Number of cupcakes sold and p is the profit earned, which is the Independent in variable and which is the dependent variable? Explain.
Independent variable:
Dependent variable:
Explain:
Answer:
independent variable: cupcakes sold
dependent variable: profit earned
explain: no profit earned without cupcakes sold.
Step-by-step explanation:
Answer:
Independent Variable: n = Number of cupcakes sold
Dependent Variable: p = Profit, no profit without the sale of cupcakes
Step-by-step explanation:
Profit depends on the number of cupcakes sold.
four friends use an online coupon to get a $15 discount on each concert ticket buy. they spent $312 for the four tickets. what was the price of one ticket without the discount?
WHAT DO I DO NEXT!!!!!!!!!!
Names
Item 1
Price
Item 2
Price
Item 3
Price
Subtotal
Tip
Total Bill
Your name
My sister
Kids meal and chicken tenders
4.99
burger
3.99
Drink
small
2.50
49.77
3
50.00
Friend #1
family
Kids meal
4.99
Cheese burger
2.99
Drink
small
1.99
29.69
10
30.00
Friend #2
me
burger
2.30
fries
2.99
Coffe
mocha
2.00
13.75
20
14.00
Friend #3
Family and family
Burger with stuff in side
4.99
Burger with stuff in side
4.99
Two drinks for two people.
9.00
18.99
20
c
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
50 + 30+ 14 + 19 = 113
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
113
If you just multiply 4.99 by 3.99 by 2.50 you would get 49.77 thats just an example.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
There is no answer you did everything? :/
Answer:
what ????
Step-by-step explanation:
2x+5=119 solve for x
Answer:
x = 57
Step-by-step explanation:
Hope this helps!!
If you need an explanation just lmk
help me please with this
Answer:
a
Step-by-step explanation:
Solving the inequality
[tex]\frac{x+3}{6}[/tex] > [tex]\frac{x}{4}[/tex] + 1
Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions
2(x + 3) > 3x + 12
2x + 6 > 3x + 12 ( subtract 2x from both sides )
6 > x + 12 ( subtract 12 from both sides )
- 6 > x , that is
x < - 6
The only value less than - 6 is - 10
Thus x = - 10 is a solution to the inequality
HELP PLS! WILL REWARD BRAINLIEST, TYSM !
Answer:
b and d
Step-by-step explanation:
they both have b
Answer:
-0.9b can be combined as well a b/12 and -2b
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
o 2
o 3
o 4
o 5
In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.
Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?
a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.
b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.
c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.
d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.
e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.
What is the product?
7•(—4) • (—6)
1. —168
2. —3
3. 17
4. 168
Answer:
168
Step-by-step explanation:
7*-4=-28
-28*-6=168
Answer: 168
Step-by-step explanation:
Hey there! If you have any questions, feel free to them in the comments below. If you multiply two negative numbers it creates a positive number.
Step 1: Simplify.
7 * 4 = -28
Step 2: Simplify.
-28 * -6
Step 3: Simplify.
168
~I hope this helped you! :)~