How do you do this question?
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)!)
Fractions-3 3/7- 1 2/7=
Answer:
-4.714
Step-by-step explanation:
Answer:
1 (if the 3 3/7 is positive)
or
-4 5/7 (if the 3 3/7 negative)
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)what is the value of h in the triangle
Answer:
I think the answer is 7.2
what is x
4 x 3x = 48
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
Darren’s account was overdrawn by $150, before he deposited $480.
Which expression is equivalent to (m8n4)4?
Answer:
[tex]\frac{m2}{n}[/tex]
Step-by-step explanation:
Answer:
Step-by-step expla The answer is M2N
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
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:
can someone help me plzzz
Ok
Put -9,-4, and -10 in order from least to greatest. You can use the number line to help.
-2
-10
0
4
6
-8
2
8
-6
10
-10
Answer:
X=5.086
Step-by-step explanation:
432.34 on the number line, converted to negotiable /85 decimal places, divided by the sum of 432.34/85:
X=5.086
Edit: Gime branlies
Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)
The answer is 5x-y-2=0 but I don’t know how to get to it.
Step-by-step explanation:
The slope of the tangent line is equal to the derivative.
f(x) = 3x² − ln x
f'(x) = 6x − 1/x
f'(1) = 6(1) − 1/1
f'(1) = 5
Use point-slope form:
y − 3 = 5 (x − 1)
Simplify:
y − 3 = 5x − 5
0 = 5x − y − 2
Wear a mask when spraying insecticides. right or not
Answer:
right. because if the insecticides gets in your mouth, it will infiltrate your lungs and you will suffocate.
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 = 23Write the equation so that a = 1: x2 + x =
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
To know more about algebraic expression visit : https://brainly.com/question/953809
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QUICK HELP
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1, 그 , ,
1
3
0
13
03
Answer:
the common ratio is
1/3
because
9*1/3=3
3*1/3=1
1*1/3=1/3
...
The common ratio is 1/3.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
The given sequence is
27, 9, 3, 1, 1/3, 1/9 and so on....
Since we know that
Common ratio (r) = Second term/First term
Therefore,
r = 9/27 = 3/9 ....
So, The answer will be 1/3.
Learn more about the ratio visit:
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According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Wich steps are needed to solve this equation b+6=21
Answer:
b=15
Step-by-step explanation:
Directions : Find the indicated term of each arithmetic sequence.
Question :14th term: a = 4; d = -5
Answer:
The 14th term is -61.
Step-by-step explanation:
T(n) = 9-5n
T(14) = 9 - 5 * 14 = 9 - 70 = -61
5 x 4000 step by step for khan
Answer:
Step-by-step explanation:
5×4000
=20,000 answer
For f(x) = -4x+2 find f(x) when x = -1 A. -2. B. 6 C. -4 D. 2
Answer:
The answer is letter B which is 6.
f(x) = -4x+2
f(x)=-4(-1)+2
f(x)=4+2
f(x)=6
hhheeelllppptukskuttttttt
Answer:
A
Step-by-step explanation:
a school district collected 14,621 pounds of recyclables during last year. This year was 3,943 more pounds of recyclables than it collected last year. How many pounds of recyclables did the school district collected last year?
Answer:
14,621 lbs.
Step-by-step explanation:
It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.
Lines x and y are parallel write an equation that represents the relationship between b and e. Explain how you know the equation is always true
Answer:
b+e= 180 degrees
Step-by-step explanation:
Because they are perpindicular
Answer:
Step-by-step explanation:
don't be childish I will report thanks
Answer:
what do you mean childish?.. anyway your answer is
-2| 3 - 6 |
= -6
happy to help!
Answer:
I believe the answer is 5
Step-by-step explanation:
[tex]\frac{-2|3-(-2)| }{-2\\}[/tex] now the -2 cancels out and you have |3-(-2)| now its |3+2| and now your answer is 5
Hope this helps
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:
If on a scale drawing 100 feet are represented by 15 inches, then a scale of 1/2 inches represents how many feet
Answer:
3 1/3 feet
Step-by-step explanation:
100 feet : 15 inches
3 1/3 feet : 1/2 inch
Answer:
[tex]3\frac{1}{3}[/tex] feet
Step-by-step explanation:
Inches : Feet = 15 : 100
Let 'x' be the feet required to find
15 : 100 :: 1/2 : x
Product of extremes = product of means
15 * x = 100 * (1/2)
15 * x = 50
x = 50/15
x = 10/3
x = [tex]3\frac{1}{3}[/tex]
PLEASE HELP!!
The graph shows the cost C in dollars of W points of blueberries. Select ALL the true statements.
A. 1 pound of blueberries cost $2.75
B. 2.75 pounds of blueberries cost $1
C. 5 pounds of blueberries cost $15.30
D. 12 pounds of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship
Answer:
A and D
Step-by-step explanation:
2. Convert the General form of a circle's equation to the standard form. Identify the center
and radius. x^2 + y^2 - 12x - 10y = -12
Answer:
Write in standard form.
(x−6)2+(y−5)2=49
Answer:
Step-by-step explanation:
Abhasra bought nine fancy pens for a total of $44.01. How much did each pen cost?
A.) $4.21
B.) $4.89
C.) $4.42
D.) $396.09
Answer:
B.) $4.89
Step-by-step explanation:
44.01 ÷ 9 = 4.89
Answer:
B) $4.89
Step-by-step explanation:
44.01/9 = 4.89
44.01 = the total amount
9 = the amount of pens he got
to check your work you can do 4.89 x 9 which equals 44.01