A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125
Answer:
B.9, 4, −1, −6
Step-by-step explanation:
A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125
From the above question,
A sequence can be generated by using an=a(n−1)+9, where a1=−5
The formula = an = a1 + (n - 1)d
a1 = First term
d = common difference = 9
We are to find the first 5 terms
First term = a1 =
an=an−1+9, where a1=−5
The formula =
a1 = -5 (1 - 1) + 9
= -5(0) 9
= -9
Second term = a2 =
an=an−1+9, where a1=−5
The formula = an = a1 (n - 1) + d
a2 = -5(2 - 1) + 9
= -5(1)+ 9
= -5 + 9
= 4
Third term = a3 =
an=an−1+9, where a1=−5
The formula = an = a1(n - 1) + d
a3 = -5(3 - 1)9
= -5(2) + 9
= -10+ 9
= -1
Fourth term = a2 =
an=an−1+9, where a1=−5
The formula = an = a1(n - 1) + d
a4 = -5(4 - 1)9
= -5(3) +9
= -15 +9
= -6
2x-9x+17=-4
I have a answer but I’m not sure if I’m correct so I just want to double check.
Answer: x = 3
Step-by-step explanation: Simplify both sides
2x - 9x + 17 = -4
2x + - 9x + 17 = -4
Combine like terms
(2x + -9x) (17) = -4
-7x + 17 = -4
Subtract 17 from both sides
-7x + 17 - 17 = -4 - 17
-7x = -21
Divide both sides by -7
-7x/-7 = -21/-7
x = 3
Answer:
x=3
Step-by-step explanation:
subtract 2x and 9x ( 2x-9x= -7x)subtract 17 and -4 ( -4 -17= -21)divide -21 and -7 ( -21 / -7= -3)x=3Which of the following could be the lengths of the sides of a right triangle.
6, 8, 10
5, 5, 10
3, 4, 6
8, 15, 16
Answer:
3,4,6 6,8,10 8,15,16
Step-by-step explanation:
I know i already asked this but i need the answer!!!!
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)
Answer:
3(3+7)
Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21
John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in packs of 10, and utensils come in packs of 8 sets. If Vicki wants to have no left overs, how many packs of utensils should she buy?
Answer:
Step-by-step explanation:
So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.
Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.
Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.
We can see that both numbers have 120 in common, so we shall use that.
We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.
We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.
And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.
So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.
(-5)²×(-5)⁴
answer it please
Answer:
15625
Step-by-step explanation:
(-5) ^ 2 * (-5) ^ 4
-5 to the second power is -25
-5 to the 4th power is -625
-25 * -625 = 15625
Just multiply 25 by 625 to get 15625 because negative * negative = positive
HOPE IT HELPED
(6x+ 3)(6x^2− 8x + 1)
can anyone please show the work on how to get the answer? Thank you :,)
Answer:
Step-by-step explanation:
36x^3 - 48x^2 + 6x + 18x^2 - 24x + 3
36x^3 - 30x^2 - 18x + 3
Find the slope of the table shown
I don't understand this, please help
Answer:
y=2x+1
Step-by-step explanation:
how do you solve inequalities and how do you graph them?
Answer:
Graph a Linear Inequality
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
Answer:6
Step-by-step explanation:
Answer:
6 would be the coefficient
Step-by-step explanation:
So what we are trying to do is solve for t.
18 + t = 24
-18 -18
t = 6
It would take 6 hours to fill the container.
Hope that helps and have a great day!
2 + 6i
-5 + i
simplify
Answer:
7+7i
Step-by-step explanation:
you would combine like terms
What error did Heather make?
Heather solved this problem:
75 is 300% of what number?
O None. Her work is correct?
O She multiplied 75 and 4 incorrectly.
O She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio. The
part-to-whole percent ratio is 300/100
Answer:
Its is D i took the test you welcome also give me 5stars plsss and like as well thank you
Step-by-step explanation:
She used the part, 75, to write the percent ratio. The part-to-whole percent ratio is StartFraction 300 Over 100 EndFraction
A package of 5 pairs of handmade face
masks costs $32.95. What is the unit
price of one face mask?
Answer:
$6.59 per mask
Step-by-step explanation:
Take the total cost and divide by the number of masks
32.95 /5
6.59 per mask
Answer:
$6.59
Step-by-step explanation:
32.95 divided by 5= 6.59
Add dollar sign
How do I solve 5(1 − x) + 2(x + 3) ?
Answer:
11-3x
Step-by-step explanation:
1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get 5-5x.
1) Next, multiply 2(x+3). You should get 2x+6.
3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.
The answer is 11-3x.
The sports store made $564 from selling pool rafts this week (Monday-Friday). Of that amount, it made $132.56 on Monday and $107.38 on Tuesday. IT made an equal amount of money on Wednesday, Thursday, and Friday. How much money did the store make from selling pool rafts on Friday?
Answer:
Amount made from selling pool rafts on Friday is equal to $108.02
Step-by-step explanation:
Total amount made from selling pool rafts = $564
Amount made from selling pool rafts on Monday = $132.56
Amount made from selling pool rafts on Tuesday = $107.38
Let amount made on each of the days - Wednesday, Thursday, and Friday be equal to $x.
Therefore,
[tex]132.56+107.38+x+x+x=564\\239.94+3x=564\\3x=564-239.94\\3x=324.06\\x=\frac{324.06}{3}\\ x=$108.02[/tex]
So,
amount made from selling pool rafts on Friday is equal to $108.02
Can anyone answer this ill mark you the brainliest
Answer: This is an acute triangle. Each of the angles is less than 90°
They are B=60°, C=70°, D=50°
Step-by-step explanation:
In an obtuse triangle, one of the angles is greater than 90°
In an equiangular triangle, the angles are all 60°
What is the slope of the line that passes through the points (-2, -1)
and (2, -3)? Write your answer in simplest form.
Plug this into the formula y2 - y1 / x2 - x1
-2 = x1, x2 = 2, y1 = -1, y2 = -3
-3 - (-1) / 2 - (-2)
-2 / 4
-1/2
The slope is -1/2.
2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?
Answer:
5
Step-by-step explanation:
20 divided by 3.50 = 5.71428571429
How is measuring an angle similar to and different from measuring a line segment?
Answer:
Line planes are flat, but angles are at an angle.
Step-by-step explanation:
are these lines perpendicular? yes or no?
y= 4x+2
y= (-1/4)x+12
Answer: yes
Step-by-step explanation:
Using distributive property 49×17+49×3=
Answer:
980
Step-by-step explanation:
➡ 49 × 17 + 49 × 3
➡ 49 ( 17+3 )
➡ 49 × 20
➡ 980
Answer : 980
URGENT!!
A golf ball is hit with an initial velocity of 80 feet per second. H= -16t^2 + 80t.
1) When will the ball reach 48ft?
2) When will the ball reach 110ft?
9514 1404 393
Answer:
t = 0.697 secondsnever (the maximum height is 100 ft)Step-by-step explanation:
A graphing calculator provides a nice solution to this question.
__
1) Put 48 ft in for H and solve for t:
48 = -16t^2 +80t
-3 = t^2 -5t
3.25 = t^2 -5t +6.25 = (t -2.5)^2
t = 2.5 ±√3.25
The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.
__
2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...
H = -16(2.5^2) +80(2.5) = 100
The maximum height is 100 feet. The ball will never reach 110 feet.
need this asap please !:)
at a local strawberry farm customers fill a bucket with strawberries. the function f(x)=4x models the cost for the strawberries, where x is the number of pounds of strawberries in
the bucket. a bucket can hold up to 10 pounds of strawberries. which is an appropriate domain of the function?
*answer choices in picture!*
answer - o<x<10
thank me later
Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1
Answer:
x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.
Step-by-step explanation:
the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.
Answer:
-1 with multiplicity 1
Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?
Answer: 0.3, 30%, or 3/10
Step-by-step explanation:
Andrea ate 1/4 of the pizza.
1/4 = 0.25
Her brother ate 35% of the pizza.
35% = 0.35
Her mom at 0.10 of the pizza.
1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza
0.3 = 30% = 3/10
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of
possible combinations of dried fruit to peanuts for her terrific trail mix. The ratio she used was 3 to 5. The table below shows
the original recipe's ratio of dried fruit to peanuts.
Dried Fruit
(oz)
9
Peanuts
(oz)
45
27
80
Which of the following accurately fills in the missing information to identify equivalent ratios for Ms. Carey?
A 30 ounces of peanuts and 42 ounces of dried fruit
B. 48 ounces of peanuts and 15 ounces of dried fruit C . 3 ounces of peanuts and 54 ounces of dried fruit. D. 15 ounces of peanuts and 48 ounces of dried fruit
Answer:63:9
Step-by-step explanation:63:9
I neeeeeed the answer ASP PLZZZZZZZ
John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's attempted this year. How many passes has John attempted this year? passes
Answer:
500 passes
Step-by-step explanation:
multiply 350 by 100 and divide by 70
350x100=35,000
35,000/70
=500
and this is funny cuz my brother plays football and a QB and his name is john. creepy times
3. Translate the triangle 3 units left
and 2 units up. What are the
coordinates of the image?
Answer:
p: (-2,2)
q: (1,4)
r:(3,3)