The series diverges when x = -2.
The given series is:
∑n=2^∞ (−2)ln(2) = ∑n=2^∞ ln(2^(-2))
We can write this as a power series in x by setting x = -2:
∑n=2^∞ ln(2^(-2))x^n
The interval of convergence of this power series can be found using the ratio test:
lim┬(n→∞)|((ln(2^(-2))x^(n+1))/ln(2^(-2))x^n)| = |x|
The series will converge if |x| < 1, and diverge if |x| > 1. Therefore, the interval of convergence is -1 < x < 1.
Substituting x = -2, we get:
-1 < -2 < 1
This is not true, so the series diverges when x = -2.
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Faith is organizing textbooks on her bookshelf. She has a Spanish textbook, a math
textbook, and a physics textbook. How many different ways can she line the textbooks
up on her bookshelf?
Answer:6
Step-by-step explanation: 3 *2*1=6
Answer:
6
Step-by-step explanation:
took test
3*2*1=6
Matti rolled the six-sided number cube once, tossed the coin once, and flicked the spinner one time.
How many total possible outcomes are there if she does all three at the same time?
Answer:
60 outcomes
Step-by-step explanation:
6 x 2 x 5
60 possible outcomes are there if she does all three at the same time.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Given:
Matti rolled the six-sided number cube once,
tossed the coin once,
and flicked the spinner one time.
So, the possibilities of doing three at the same time
= 6 x 2 x 5
= 60
Hence, there are 60 possible ways.
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Expression: 3x2t
If the value is 96 what is t?
Answer:
t = 16. This is the answer.!
How would you solve this problem?
Answer:
x = 47
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles for a triangle
2x-2 = x + 45
Subtract x from each side
2x-2 -x = x+45-x
x-2 = 45
Add 2 to each side
x-2 +2 = 45+2
x = 47
Answer:
47 degrees
Step-by-step explanation:
Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:
[tex]2x-2=x+45\\x=47[/tex]
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion)
2x + 6 y = 68
2x + 4y = 46
Answer:
1. x=34−3y
2. x=23−2y
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x+6y-(2x+4y)=68-46
2y=22
y=11
2x+4(11)=46
2x=2
x=1
Simplify the expression. 25(z-4)
Answer:
25z-100
Step-by-step explanation:
An eagle is perched in a tree 40 feet above sea level. Directly below the eagle, a pelican is flying 10 feet above sea level. Directly below the birds is a shark, swimming 30 feet below sea level. Draw a picture to help answer the following questions: a) What is the DIFFERENCE in height between the pelican and the shark?
Answer:
40
Step-by-step explanation:
10 + 30 = 40 difference
Mrs. Smith is making christmas baskets and wants to evenly divide the 36 ornaments and 24 candy canes so that each basket has the greatest number of
ornaments and candy canes without any left over. When you make the greatest # of baskets, how many ornaments will be in each basket?
A.2
B.3
C.6
D.12
Answer:
C.
Step-by-step explanation:
It is c because 6 can go into both of those numbers when multiplying
Answer:
B. 3
Step-by-step explanation:
We are looking for the greatest number of baskets. The greatest number of baskets is the greatest number that divides evenly into both 36 and 24.
We need to find the greatest common factor of 36 and 24 to find the greatest number of baskets.
36 = 2^2 * 3^2
24 = 2^3 * 3
GCF = 2^2 * 3 = 4 * 3 = 12
The number of baskets is 12.
Now we need to find the number of ornaments that will go in each basket.
36 ornaments / 12 baskets = 3 ornaments/basket
Answer: B. 3
Convert the following to a percentage: $0.40 out of $2.50
Answer:
16%
Step-by-step explanation:
Solution for 0.40 is what percent of 2.50:
0.40:2.50*100 =
(0.40*100):2.50 =
40:2.50 = 16
Answer:
16%planation:
evaluate the expression and enter your answer below.
3x10+15-6^2
no you can't get a photo just answer it
Answer:
The answer is 9.
Step-by-step explanation:
PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
3x10+15-6^2
3x10+15-36
30+15-36
45-36
9
VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?
Answer:
srry that the two people here befre me didnt help you
Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
if u dont want to write the paragraph make sure t have this in your sentence
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).
solve for x or find x
what is the surface area of a cylinder in 9in,7in, and 5in ?
If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?
==========================================================
Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
-----------
Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
-----------
The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
which one of these would be correct for this?
AA
SSS
SAS
how do I simplify ((28 x 5Pi) x 15) + 140
Answer:
= 87.964594x20+140
Step-by-step explanation:
Plz help I don’t know how to solve this
Answer:
7- 110
11-70
about rest I don't know sorry
(2x + 1, XS-5
f(x)= x?, -5
3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
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If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?
Answer:
sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]
Step-by-step explanation:
Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the third side, the adjacent is found using Pythagoras' identity, that is
adj² + opp² = hyp²
adj² + 2² = 5²
adj² + 4 = 25 ( subtract 4 from both sides )
adj² = 21 ( take the square root of both sides )
adj = [tex]\sqrt{21}[/tex] , then
cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]
Using the double angle identity
sin2x = 2sinxcosx
= 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]
= [tex]\frac{4\sqrt{21} }{25}[/tex]
i need help urgently please :D
Answer:
y = 4
x = 5
y = 2
x = 1
x = 8
Step-by-step explanation:
to find y-intercepts, set x = 0
to find x-intercepts, set y = 0
1.) 4(0) + 5y = 20
5y = 20
y = 4 -------> y-intercept
2.) 4x + 5(0) = 20
4x = 20
x = 5 -------> x-intercept
3.) 2(0) + y = 2
y = 2 -------> y-intercept
4.) 2x + 0 = 2
x = 1 -------> x-intercept
5.) x - 2(0) = 8
x = 8 -------> x-intercept
Answer:
4x+5y=20 the answer is below
x= −5/4y+5
y= −4/5x+4
2x+y=2 the answer is below
x= −1/2y+1
y=−2x+2
x-2y=8 the answer is below
x=2y+8
y=1/2x−4
Step-by-step explanation:
Let's solve for x.
4x+5y=20
Step 1: Add -5y to both sides.
4x+5y+−5y=20+−5y
4x=−5y+20
Step 2: Divide both sides by 4.
4x/4 = −5y+20/4
x= −5/4y+5
Answer:
x= −5/4y+5
Let's solve for y.
4x+5y=20
Step 1: Add -4x to both sides.
4x+5y+−4x=20+−4x
5y=−4x+20
Step 2: Divide both sides by 5.
5y/5 = −4x+20/5
y= −4/5x+4
Answer:
y= −4/5x+4
Let's solve for x.
2x+y=2
Step 1: Add -y to both sides.
2x+y+−y=2+−y
2x=−y+2
Step 2: Divide both sides by 2.
2x/2= −y+2/2
x= −1/2y+1
Answer:
x= −1/2y+1
Let's solve for y.
2x+y=2
Step 1: Add -2x to both sides.
2x+y+ −2x=2+ −2x
y=−2x+2
Answer:
y=−2x+2
Let's solve for x.
x−2y=8
Step 1: Add 2y to both sides.
x−2y+2y=8+2y
x=2y+8
Answer:
x=2y+8
Let's solve for y.
x−2y=8
Step 1: Add -x to both sides.
x−2y+−x=8+−x
−2y=−x+8
Step 2: Divide both sides by -2.
−2y −2=−x+8−2
y=1/2x−4
Answer:
y=1/2x−4
Edward wants to take his friends bowling at a bowling alley that charges $5.50 per person for unlimited bowling plus a $3.50 basic lane fee. He doesn´t want to spend more than $44. How many friends can he invite without going over budget?
Answer:
He can invite 7 friends
Step-by-step explanation:
44 divided by 5.50=8 BUT!
remember the lane fee so only 7 friends can come
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
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What is the surface area of the cone in terms of pi
15 m 8 m
Answer:
Multiply po ba yan? Or hindi po?
Basahin niyo po yung comment ko hehehe
What is the longest side of a right triangle?
A )Right Angle
B) Hypotenuse
C)Lega
D )Leg B
Helpppppp mehhhhhh plssss
Answer:
b
Step-by-step explanation:
In the equation 5x - 4 = 71, what is the constant
Answer:
I believe the Constant is 4, because the constant is supposed to be a stand alone number.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
a constant is a number that doesn't change
Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)
Answer:
square root of 29
Step-by-step explanation:
use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that
Which graph represents an exponential growth function?
Answer:
Graph 1 or A
Step-by-step explanation:
The graph is gradually getting bigger as it starts at the left (0,-10) and gets bigger and bigger until it hits the end of the chart, increasing endlessly. That is exponential growth.
NEED HELP WITH THIS ASAP!!