Answers
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Related Questions
Joaana saves nickels and quarter in a jar
Answers
Answer:
The jar problem
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
She looked to see if she had enough coins to fix her car
She didn't so she went on the side of the street to play her guitar
She played for money by a food bar
She worried she wouldn't make a lot
So she bet illegally on some chickens that fought
She was scared the cops would come and she would get caught
The saw the cops coming and her eyes lit up like a match
She grabbed $500 and she was one they wouldn't catch
It turns out she only needed $10 to fix a tiny scratch
She only had $5 is coins in her jar
Now she has $500 and can fix her car
Hope this helps ya! Keep smiling!
Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?
Answers
I hope this help you :) mark me brainiest if u need anything more help like this tell em
How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365
Answers
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answers
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!
which equation represents the problem?
3x -3 =45
3x = 45 + 3
3 + 3x = 45
3 = 45 + 3x
Now Recipes?
x= 13
x= 15
x= 16
x= 14
Answers
Answer:
3 + 3x = 45 ; x = 14
Step-by-step explanation:
45 = 3x + 3 ⇒ x = 14
7 1/5 ÷ 8/1 in simplest form?
Answers
Answer:
9/10 (Decimal: 0.9)
Step-by-step explanation:
7 1/5 ÷ 8 = 9/10
(Decimal: 0.9)
A bank teller has 47 $20 and $5 bills in her cash drawer. The value of the bills is $490. How many $20 bills are
there?
Answers
Answer:
A bank teller has 47 $20 and $5 bills.
The value of the bills is $490.
Number of $20 bills --> x
Number of $5 bills --> y
x + y = 47 --> x = 47-y
20x + 5y = 490 --> 20x = 490-5y
so
20(47-y) = 490 -5y
940-20y = 490-5y
940-490 = -5y+20y
15y = 450
y= 30
so
x = 47-30
x = 17
IN TOTAL --> 17 $20 bills and 30 $5 bills.
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
Order of Operations: BPEMDASMultivariable SystemsStep-by-step explanation:
Step 1: Define variables
x = # of $20 bills
y = # of $5 bills
Step 2: Set up systems of equations
[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]
Step 3: Solve for x
Rewrite: [tex]\left \{ {{y=47-x} \atop {20x+5y=490}} \right.[/tex]Substitute: [tex]20x+5(47-x)=490[/tex]Distribute 5: [tex]20x+235-5x=490[/tex]Combine like terms: [tex]15x+235=490[/tex]Subtract 235 on both sides: [tex]15x=255[/tex]Divide both sides by 15: [tex]x=17[/tex]By solving for x, we now know that we have 17 $20 bills.
Step 4: Solve for y
Define: x + y = 47Substitute: 17 + y = 47Subtract 17 on both sides: y = 30Now we know that we have 30 $5 bills.
What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality
Answers
Answer:
Multiplication sorry I late
Step-by-step explanation:
Answer: Multiplication property of equality
3/4 (x-12) = 12
solve for x
Answers
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over
Answers
Answer:
Each friend would get 3 slices and there would be 2 slices left over.
$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40
Answers
Answer:
20 X 40 = 800 (split into 2 fourths) = 40
Step-by-step explanation
20 x 40 = 800;
For 2 necklaces she can split 800 into fourths.
800 - 40 = 80. (1 fourth)
80 - 40 = 40 (2 fourths)
40 - 40 = 0 (3 fourths)
She could split 800 into 2 fourths to get a number more than 0 and less then 42.
The best estimate of rounding 42 is 40. Because 40 is closer to 42.
Use benchmark values to estimate 7/10 + 7/8.
Answers
Answer:
1.575
Step-by-step explanation:
Which expression has the same value as 4÷25 in fraction form
Answers
Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
Really bad at math please help
Answers
Answer:
X = 26
Step-by-step explanation:
triangle = 180 degrees
180 - (25+112) = 43
X + 17 = 43
43 - 17 = 26
x = 26
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
3x + 17 < 47
43<8x-9 can you answer this ASAP please !!!
Answers
Answer:
3x + 17 < 47 solving for x = x<10
43<8x-9 solving for x = x = 13/2
Select The correct Description giving brainliest:)
Answers
Answer:
D. The quotient of a difference and a number
Step-by-step explanation:
its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)
Answer:
C!!!!
Step-by-step explanation:
The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?
Answers
Answer:
(0,0) means that he didn't buy any apples so it doesn't cost anything
Step-by-step explanation:
where does 3.5 belong o the venn diagram
Answers
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]
However after this I do not see how I can get another value other than 5.
Answers
Answer:
[tex]x=5,-5[/tex]
Step-by-step explanation:
[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]
I dont know man help please
Answers
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
It is 11:45 AM when can you put the bread in the oven if the brain needs to bake for 30 minutes what time will the bread finished baking
Answers
Answer:
The bread will be done baking at 12:15
Step-by-step explanation:
11:45+30=12:15
Answer:
12:15 pm
Step-by-step explanation:
30 minutes is two sets of 15 minutes
15+45=60
Therefore, 12:00pm is 15 minutes of back time
Add the second set of 15 minutes and you get 12:15 pm
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answers
Answer:
I think it is 200
but I am not very sure
If you went to school at 7:55 a.m. what time will it be in 4 hours?
Answers
8:55
9:55
10:55
11:55
Answer: 11:55 I hope this helps Have a nice day
Step-by-step explanation:
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answers
Answer:
It's the first answer.
Step-by-step explanation:
Answer:
The Answer is A
Step-by-step explanation:
4. Timothy deposited $3500 into an accountthat pays 4.3% simple interest and keeps it
there for 4 years. What is his new account balance after interest?
(8 Points)
$602
$4,102
$6,020
$9,520
Answers
His new account balance after interest is $602
If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes
Answers
Answer: 15
Step-by-step explanation: 5/6 times 18 = 15 hours
learning task 1: identify similar and dissmilar fractions . on your notebook write S if the fractions are similar and D if dissmilar 1. 2/3 and 1/3
Answers
Answer:
"S" (similar fractions)
Step-by-step explanation:
Since "similar fraction" are those with the same denominator, in our case, since 2/3 and 1/3 have both the same denominator "3", these are similar fractions.
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answers
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
Assume there are 11 voting districts in the county. Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election. If she has an equal chance of 60% to win any one district, what are her chances of winning the election?
Answers
Answer:
53.3%
Step-by-step explanation:
Here we will use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.
P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰
P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004
P = 0.533
David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.
Answers
Answer:
.68.0314 m/s
.42.272752125mph
68.0314km/h
Step-by-step explanation: