Worth 75 points!! Need help with calculus
select all equations that are equivalent to 5x+(x+6)+3x
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How do you do these two questions?
Answer:
(x − π)⁷ / 5040
(x − 1)³ / 16
Step-by-step explanation:
Taylor series expansion of a function is:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ
where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.
For the first problem, f(x) = sin x and x₀ = π. We want the seventh degree term, so n = 7.
The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷
Find the seventh derivative of sin x:
f(x) = sin x
f⁽¹⁾(x) = cos x
f⁽²⁾(x) = -sin x
f⁽³⁾(x) = -cos x
f⁽⁴⁾(x) = sin x
f⁽⁵⁾(x) = cos x
f⁽⁶⁾(x) = -sin x
f⁽⁷⁾(x) = -cos x
Evaluated at π, f⁽⁷⁾(x) = 1. So the seventh degree term is (x − π)⁷ / 5040.
For the second problem, f(x) = √x and x₀ = 1. We want the third degree term, so n = 3.
The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³
Find the third derivative of √x:
f(x) = √x
f⁽¹⁾(x) = ½ x^-½
f⁽²⁾(x) = -¼ x^-³/₂
f⁽³⁾(x) = ⅜ x^-⁵/₂
Evaluated at 1, f⁽³⁾(x) = ⅜. So the third degree term is (x − 1)³ / 16.
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x = 18
y = 54°
Step-by-step explanation:
m<MON = 90° (given)
m<MOA = 72° (given)
m<AON + m<MOA = m<MON (Angle Addition Postulate)
m<AON + 72° = 90° (Substitution)
Subtract 72° from each side
m<AON = 90° - 72°
m<AON = 18°
m<AOD = 18° + 2x
m<BOC = 3x
m<AOD = m<BOC (vertical angles)
18 + 2x = 3x (Substitution)
Subtract 2x from each side
18 = 3x - 2x
18 = x
x = 18.
72° + y + 3x = 180° (angles on a straight line)
Plug in the value of x
72 + y + 3(18) = 180
72 + y + 54 = 180
126 + y = 180
Subtract 126 from both sides
y = 54
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
Solve the following
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000
Who can help me with this for algebra 2
you deposit 10,000 in an account that pays 3% annual interest compounded monthly. How much will you have in 5 years?
Answer:
$2,833.59
Step-by-step explanation:
1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00
2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00
3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00
4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00
5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00
Answer:
How do i take questions down like this one?
Step-by-step explanation:
I need step by step help on how to work out this percentage question
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7
Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a 6-ounce bottle for $2.29 or in a 15-ounce bottle for $.10.19
Answer:
The 6 oz bottle
Step-by-step explanation:
When you simplify it to see how much per ounce each costs, the 6-oz has the better price.
2.29/6 = 0.381666....
10.19/15 = 0.6793....
the second bottle cost more per ounce, so the 6 oz bottle has the better deal
*plz brainlist
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
Please answer this correctly without making mistakes
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answer:
Step-by-step explanation:
109
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
What is 0.06% written as a decimal?
Answer:
0.0006
Step-by-step explanation:
8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?
Answer:
1.11
Step-by-step explanation:
5
Subtract 27 from 43
14
21
Answer:
-0.4522
Step-by-step explanation:
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction
Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
To learn more about Exponents, click on the link given below :
https://brainly.com/question/30066987
#SPJ6
A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23Calculator
2.25
What is the value of x?
D
3
Enter your answer in the box.
с
4
B
X =
13,84,85 are the last ones please help
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
what is y=(-2/3)x+400 as a function?
Answer:
y= −2x/3 + 400
Step-by-step explanation:
Hope this helps :)
Answer: what the other dude said
Step-by-step explanation:
Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?
Answer:12
Step-by-step explanation:
18/6=3 cups in each box
3*2=6 cups broke=2 boxes
18-6=12 cups are unbroken
1+3 pls help me nowwwww
Answer:
4
Step-by-step explanation:
3=1+1+1,
1+1+1+1=4 :p