Answer:
Well, I guess you could use a special representation of the function through a sum of terms, also known as Taylor Series.
It is, basically, what happens in your pocket calculator when you evaluate, for example,
sin
(
30
°
)
.
Your calculator does this:
sin
(
θ
)
=
θ
−
θ
3
3
!
+
θ
5
5
!
−
...
where
θ
must be in RADIANS.
In theory you should add infinite terms but, depending upon the accuracy required, you can normally stop at three terms.
In our case we have:
θ
=
π
6
=
3.14
6
=
0.523
and:
sin
(
π
6
)
=
sin
(
0.523
)
=
0.523
−
0.024
+
3.26
⋅
10
−
4
−
...
=
0.499
≈
0.5
Answer:
sin135° = [tex]\frac{1}{\sqrt{2} }[/tex]
Step-by-step explanation:
135° is in the second quadrant where sin x ° > 0
sin135°
= sin(180 - 135)°
= sin45°
= [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ← exact value
heeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllpppppppppppppppppp
Answer:
x = 5Step-by-step explanation:
[tex]6 - 2x = 5x - 9x + 16[/tex]
Simplify
That's
[tex]6 - 2x = - 4x + 16[/tex]
Add 4x to both sides of the equation
[tex]6 - 2x + 4x = 4x - 4x + 16 \\ 6 + 2x = 16[/tex]
Subtract 6 from both sides of the equation
[tex]6 - 6 + 2x = 16 - 6 \\ 2x = 10[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{10}{2} \\ [/tex]
We have the final answer as
x = 5Hope this helps you
When adding numbers which way do you usually work
Step-by-step explanation:
start by adding together the numbers in the right hand column
The formula K= 5/9 (F - 32) + 273.15 converts temperatures from degrees Fahrenheit F to Kelvin K.
Solve the formula for F
Answer:
[tex]F=\dfrac{9}{5}(K-273.15)+32[/tex]
Step-by-step explanation:
Undo the various operations done to F.
[tex]K=\dfrac{5}{9}(F-32)+273.15\quad\text{given}\\\\K-273.15=\dfrac{5}{9}(F-32)\quad\text{subtract 273.15}\\\\\dfrac{9}{5}(K-273.15)=F-32\quad\text{multiply by 9/5}\\\\\boxed{F=\dfrac{9}{5}(K-273.15)+32}\quad\text{add 32}[/tex]
Can someone help me with this??? Plzzzz
Answer:
Im lazy to figure it out lol
Step-by-step explanation:
basically use order of operations. PEMDAS. start with ur parentheses and go on from there
Answer:
a
Step-by-step explanation:
(02.03 LC)
Read the following statement:
Line segment KL is congruent to line segment MN.
Which of the following is an equivalent statement? (1 point)
>
KL - MN
KL = MN
KL MN
KL E MN
Answer:
KL = MN
Step-by-step explanation:
i got the question right on my test
Is 5.222... an irrational number?
Answer:
It is not
5.222... is rational
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers. It goes on forever, but it has no pattern. 5.222... has a pattern of only 2 as a decimal. Therefore, it is rational.
Hope this helps!
Plz name brainliest if possible!
2(1+2x) - 6 = 4x + 6
Answer:
x=1.5
Step-by-step explanation: 2 times 1 and 2 times 2 equals
4x-6=4x+6
6+6+12
8x=12
please help
Which of the following relations describes a function?
A.
{ (0, 0), (1, 1), (4, 2), (9, 3) }
B.
{ (0, 0), (1, 1), (1, -1), (4, 2) }
C.
{ (-4, 2), (-1, -1), (-1, 1), (0, 0) }
D.
{ (0, 0), (1, 1), (2, -2), (2, 2) }
Answer:
A
Step-by-step explanation:
In order for a relation to be a function, no x-values can be repeated. A is the only answer that does not repeat any x-values.
Problem How many unique ways are there to arrange the letters in the
word CHRISTMAS?*
362,880
45,255
1
55,698
Answer:
There are 181,440 ways.
Step-by-step explanation:
Given the word CHRISTMAS
In the word "Christmas" there are 9 letters.
Also take note, the letter "s" is repeated twice.
Hence, the number of ways is given by; no of ways = n!/m!
Where, n = 9, m = 2
no of ways = 9 *8*7*6*5*4*2*1/2*1
no of ways = 9*8*7*6*5*4*3
no of ways = 181,440.
Therefore, the number of unique ways that the letters in the word can be arranged is 181,440.
5 less than a number is equivalent to 1 more than three times the number
Answer:
x-5=3x+1 (x=-3)
Step-by-step explanation:
5 less (_-5)
than a number (x)
is equivalent to (=)
1 more than (+1)
than three times the number (3x)
combine them all to get x-5=3x+1
extra:
add 5 to each side x=3x+6
subtract x from each side 0=2x+6
subtract 6 from each side -6=2x
divide each side by 2 -3=x
Kiley had a piece of bamboo skewer that measured 14Three-fifths inches long. She wanted to cut it into toothpicks that were each 3One-fifth inches long. How many toothpicks can she make?
4 toothpicks
5 toothpicks
46 toothpicks
47 toothpicks
Answer:
(A) 4 toothpicks I took the test and (A) 4 toothpicks was correct
hope it helps :)
Answer:
4
Step-by-step explanation:
How many terms of the arithmetic sequey(1,3,5,7,...)will give sum of 961
When we add odd numbers:
1 = 1
1 + 3 = 4
1 + 3 + 5 = 9
...
Notice that the sum of n terms is n²
* This is because an odd number is expressed as 2n-1, we would need to get the sum of all 2n-1 substituting the value from 1 to n. (This is summation)
So we would have 2(1+2+3+...+n) - n = 2[n(n+1)/2] - n = n(n+1) - n = n(n+1-1) = n²
So:
Sum of n terms = 961
Sum of n terms = 31² = n²
n = 31
There are 31 terms in the arithmetic sequence
ALL CREDIT GOES TO mlcparra16
***NOT MY WORK
https://brainly.ph/question/182412
HELP ME ASAP PLSSSS I will make your brainly something that makes you the best
Solve for x: - 3.c + 14 = 4.2 - 7
-3x + 14 = 4x - 7
Answer:
x = 3
Step-by-step explanation:
-3x + 14 = 4x - 7
+7 +7
-3x + 21 = 4x
+3x +3x
21 = 7x
21 / 7 7x / 7
3 = x
Check:
-3x + 14 = 4x - 7
-3 x 3 + 14 = 4 x 3 - 7
-9 + 14 = 12 - 7
5 = 5
x = 3
Use the area model to find each product.
1) 6v(2v + 3)
Find the probability that when a couple has six children, at least one of them is a girl.
Answer:5/6
Step-by-step explanation:
Select the choice that translates the following verbal phrase correctly to algebra: (2 points)
the product of k and m
Question 1 options:
1)
km
2)
k + m
3)
k − m
4)
k ÷ m
If you can factor trinomials pleasee help you don't need to do all of them
HOPE THIS CAN HELP YOU WITH YOUR ANSWER
=729
2. Be Precise Suri solved the equation x2 = 49
and found that x=7. What error did Suri
make? © MP.6
What is the answer
Answer:
see below
Step-by-step explanation:
x^2 = 49
Take the square root of each side
sqrt(x^2) =± sqrt(49)
x = ±7
Suri failed to take into account the negative value of the square root
a spherical balloon is being inflated so that the radius is increasing at a rate of 3 cm/sec. find the rate at which the volume is increasing when r=10cm.
Answer: 1200pi cubic cm per sec
========================================
Work Shown:
dr/dt = 3 is the rate of change of the radius
V = (4/3)pi*r^3 ..... volume of a sphere
dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule
dV/dt = 4*pi*r^2*dr/dt
dV/dt = 4*pi*r^2*3
dV/dt = 12*pi*r^2
dV/dt = 12*pi*10^2 ... plug in r = 10
dV/dt = 1200pi
The value of the guitar has been found to be -80y + 800, where y is the number of years since it was released. a. By how much is the value of the guitar decreasing per year? b. How much was the initial value of the comic?
Answer:
B
Step-by-step explanation:
Suppose that we are doing batch testing with batches of size 12. Suppose that the probability that a batch of size 12 tests negative is .655. Determine the expected number (expected value) of tests needed for a group of size 12.
Answer:
[tex]E(x) = 7.86[/tex]
Step-by-step explanation:
Given
Represent the size with n and the probability with p
[tex]n = 12[/tex]
[tex]p = 0.655[/tex]
Required
Determine the expected value; E(x)
[tex]E(x) = np[/tex]
[tex]E(x) = 12 * 0.655[/tex]
[tex]E(x) = 7.86[/tex]
Hence, the expected value is 7.86
The expected value is 7.86.
Important information:
Group size = 12Probability that a batch of size 12 tests negative is 0.655.We need to find the expected number (expected value) of tests needed for a group of size 12.
Expected value:The expected value is:
[tex]E(x)=np(x)[/tex]
Where, n is the batch size and p is the probability.
[tex]E(x)=12(0.655)[/tex]
[tex]E(x)=7.86[/tex]
Therefore, the expected value is 7.86.
Find out more about 'Expected value' here:
https://brainly.com/question/13029887
Sarah bought 3 pounds of apples for $6 . How much did each pound of apples cost ?
A - $2 per pound of apples
B- .20 per pound of apples
C- $20 per pound of apples
can someone please help me ??
Answer:
A
Step-by-step explanation:
6/3 = 2
Simplify: -2 1/3-(-10 1/6)
Answer:
exact form: 47/6 decimal form: 7.8333 mixed number form: 7 5/6
Step-by-step explanation:
-convert mixed numbers into improper fractions:
-7/3-(-61/6)
-least common multiplier for 3 and 6 is 3
-adjust fractions based on LCM
=-14/6+61/6
-since the denominators are equal, combine the fractions:
=-14+61/6
-add/subtract the numbers (-14+61=47)
evaluate the expression for the given value of the variable: 2(x²2) for x=3
first to get right gets brainliest
9+10=?
Answer:
=19!
Step-by-step explanation:
A bird is attempting to fly northeast at a constant speed, but a wind blowing southward at 5 miles per
hour blows the bird off course. If the bird’s overall movement (incorporating its intended movement
and the movement due to wind) is at a speed of √53 miles per hour, how fast would it have been traveling if there was no wind?
Answer:
The value is [tex]v_b = 9.89 \ miles /hour[/tex]
Step-by-step explanation:
From the question we are told that
The velocity of the wind southward is [tex]v = 5 j \ miles / hour[/tex]
The resultant velocity of the bird with the with wind is [tex]V= \sqrt{53}[/tex]
Generally for an object moving in the northwest direction the angle with the horizontal is 45°
Generally the velocity of the bird in the along the x -axis is
[tex]V_x= v_b cos 45^o i[/tex]
Generally the velocity of the bird in the along the y -axis is
[tex] V_y=(v_b sin 45^o - 5)j[/tex]
Here [tex]v_b[/tex] is the velocity of the bird without the wind
Generally the resultant velocity of the bird with the with wind is mathematically represented as
[tex]V = \sqrt{V_x^2 + V_y^2 }[/tex]
=> [tex] \sqrt{53} = \sqrt{(v_b cos 45^o)^2 + (v_b sin 45^o - 5)^2 }[/tex]
Generally
[tex]sin 45^o = \frac{1}{\sqrt{2} }[/tex]
and
[tex]cos 45^o = \frac{1}{\sqrt{2} }[/tex]
So
[tex] \sqrt{53} = \sqrt{(v_b* (\frac{1}{\sqrt{2} ))^2 + ([v_b * (\frac{1}{\sqrt{2} ) ]- 5)^2 }[/tex]
=> [tex]53 = \frac{1}{2} v_b^2 + \frac{1}{2} v_b^2 + 5^2 -2*5 * \frac{1}{\sqrt{2} } v_b[/tex]
=> [tex] 53 = v_b^2 + 25 - 5 \sqrt{2} v_b[/tex]
=> [tex] v_b^2 - 5 \sqrt{2} v_b -28 = 0[/tex]
Solving the above quadratic equation using quadratic formula we obtain that
[tex]v_b = 9.89 \ miles /hour[/tex]
The other value is negative so we do not make use of it because we know that the bird is moving in the positive x and y axis
20 points need help now
Answer:
n=5, n^2 = 36 now
Step-by-step explanation:
Need help! Due at 12:00 pm
Answer:
The answer to the graph that fits the most with the functions would most likely be A.
If You Could Commit One Crime, What Would It Be?
Answer:
Grand Theft
Step-by-step explanation:
