Answer:
Length of the side of a square is 18 sqrt(2)
Step-by-step explanation:
a and b are the sides of square and c is the diagonal.
a^2+b^2=c^2
a^2+b^2= 36^2
As all sides are equal we can take b=a
2a^2=36^2
a^2= (36×36)/2
a^2 = 18×36 = 2×9×9×4
Taking squareroot on both sides we get
a= sqrt(2×9×9×2×2)
a=18 sqrt(2)
The area of a square is 100 square centimeters. what is the perimeter
Answer:
Step-by-step explanation:
area of a square = S x S
side = ⱱarea
side = ⱱ100
side = 10cm
perimeter = 4s
= 4 x 10
=40cm
Consider the series
[infinity]
∑ (-1)^n (x+1)^n/ (n+1)!
n=0
a. Find the series' radius and interval of convergence.
b. For what values of x does the series converge absolutely?
c. For what values of x does the series converge coditionally?
(a) If
[tex]f(x)=\displaystyle \sum_{n=0}^\infty (-1)^n \frac{(x+1)^n}{(n+1)!}[/tex]
then by the ratio test, the series converges for all x, since
[tex]\displaystyle \lim_{n\to\infty} \left| \frac{ (-1)^{n+1} \frac{(x+1)^{n+1}}{(n+2)!} }{ (-1)^n \frac{(x+1)^n}{(n+1)!} } \right|=\lim_{n\to\infty}\frac{|x+1|}{n+2}=0[/tex]
so the series radius of convergence is ∞ and the interval of convergence is (-∞, ∞).
(b) The series converges everywhere absolutely, because the ratio test for
[tex]\displaystyle \sum_{n=0}^\infty \frac{|x+1|^n}{(n+1)!}[/tex]
also shows the radius of convergence is ∞.
(c) The series converges absolutely, so conditional convergence is moot.
(n-8)-(-2-2n) = what?
Answer:
3n−6
Step-by-step explanation:
n−8−(−2−2n)
Distribute the Negative Sign:
=n−8+−1(−2−2n)
=n+−8+(−1)(−2)+−1(−2n)
=n+−8+2+2n
Combine Like Terms:
=n+−8+2+2n
=(n+2n)+(−8+2)
=3n+ (−6 )
ANSWER:
3n−6
What is the value of m in the equation {m-ăn = 16, when n=8?
W 3 Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100
Simplifying 4x + 5y < 100 Solving 4x + 5 < 100. Solving for variable 'x' move all terms containing x to the left, all other terms to the right.
Hope i helped (❁´◡`❁)
Brainliest?
Read this entry from a blog about service dogs. Lexie, an eight-month-old black Labrador retriever, is sleeping quietly at my feet. I can’t help but think that her soft, velvety ears and alert brown eyes would make her the perfect "doggie model" for pet magazines and pet store ads. However, Lexie will soon have a much more important job to do. In a few months, she will become the loyal companion and service dog for a young man who has been blind since birth. She will help him board public transportation, such as buses, subways, and trains, and she will help him safely cross busy intersections. Lexie will even help the young man avoid obstacles, such as high curbs and low overhangs. Like all dogs in our organization, Lexie has undergone months of specialized training to help a visually impaired person lead an active and independent life. Which statement about this blog is true? Its primary purpose is to persuade; its secondary purpose is to inform. Its primary purpose is to inform
Answer:
The True Statement about this blog is stated below:
Its primary purpose is to inform.
Step-by-step explanation:
When an author's or speaker's purpose is to inform, the author or speaker usually enlightens their readers or audience about real-world topics. The best way they achieve this is by providing lots of facts about the topic. Informational texts or speeches are oriented towards imparting information or knowledge to the reader or audience with the purpose of educating them on a particular topic. This is clearly achieved in this passage about Lexie. Facts are provided about Lexie's ability to help the visually impaired person, including the specialized training that the dog has undergone recently.
The temperature dropped 3 °F every hour for 6 hours. How much did the temperature drop in total
Answer:
18 degrees farenheit.
Step-by-step explanation:
Round 6.487 and 2.049 to the hundredths place. What is the sum of the rounded numbers? *
Answer:
8.54
Step-by-step explanation:
If thousandth's place is ≥ 5 , then add 1 to the hundredth place.
6.487 = 6.49
2.049 = 2.05
6.487 + 2.049 = 6.49 + 2.05 = 8.54
You can buy a box of 150 Sharpie pens for $165 or a dozen for $13.50. Which one is the better deal?
What's 2/5 divided by 4 ( simplest form)
Answer:
1/10
Step-by-step explanation:
[tex]\frac{2}{5} \div 4 = \frac{2}{5} * \frac{1}{4}[/tex]
we multiply by the reciprocal when we work with fractions and division.
Now you just multiply across.
Therefore, you have 2/20, which simplifies to 1/10.
A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
The simplest form of 2/5 divided by 4 is 1/10.
What is a fraction?A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
Example: 2/3, 5/7, 1/3
We have,
2/5 ÷ 4
= (2/5) / 4
= 2 / (4 x 5 )
We cancel the common factor from the numerator and denominator.
= 2 / (2 x 2 x 5)
= 1 / (2 x 5)
= 1 / 10
We see that there is no common factor to be canceled out from the numerator and the denominator.
= 1/ 10 is our simplest form.
Thus the simplest form of 2/5 divided by 4 is 1/10.
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how do you work out 8^1/3÷5^-2
Answer:
the answer to your question is 50.
To solve the system of equations below, Becca isolated in the first
equation and then substituted it into the second equation. What was the
resulting equation?
x + y - 9
x2
1
25 36
O A.
25
36
O B.
9- у - у
1
25
36
O c.
X?
-Y? -9.1
25 36
O D.
25
36
Answer:
Option (B)
Step-by-step explanation:
Given system of equations is,
x² + y² = 9 ------(1)
[tex]\frac{x^2}{25}-\frac{y^2}{36}=1[/tex] -------(2)
From equation (1),
x² = 9 - y²
Substituting these values in equation (2),
[tex]\frac{9-y^2}{25}-\frac{y^2}{36}=1[/tex]
Therefore, Option (B) will be the correct option.
You have prizes to ren
My mom and dad have $822.00 in their savings account and $347.00 in their checking
account. How much more do my parents have in savings than in checking?
Answer:
$475.00
Step-by-step explanation:
Subtract $822.00 and $347.00 then you'll get $475.00
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
PLS ANSWER FAST
solve for the unknown...
3^x = 9^x+5
a girl spends 1/2of her money in a store. then she goes to another 1/2 of which was left with her. after she has rs 24 with how much money did she start ?
1/12
24 divided by 2 = 12
3 n - 5 p + 2 n = 10 p for n
Answer:
n = 3p
Step-by-step explanation:
3n + 2n - 5p = 10p
5n - 5p = 10p
5n = 15p
n = 3p
Answer:
1n = 5p
Step-by-step explanation:
What is the slope of the line that passes through the points (7,-4) and (7,0)?
Write your answer in simplest form.
Answer
The x value is the same between these two values, which gives an undefined slope, I think
Step-by-step explanation:
Answer:
Yes the answer is undefined
Step-by-step explanation:
Look it up
2 Question help
5
A robot can complete 7 tasks in hour. Each task takes the same amount of time.
6
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a. It takes the robot hour(s) to complete one task.
Step-by-step explanation:
60 divided by 7 = approx. 8-9 min for each task.
7 tasks per hour
Answer:
a. 8.58 (8.57142857143)
Step-by-step explanation:
Pls ASAP if correct u get brainest
Answer:
I got 3
Step-by-step explanation:
If you do 8 x 1/2 x 3 You would get 12. Keep that 12 for later. then for the bottom half do 2 x 1/2 x 4 and I got 4. so do 12/4 and then that goes to 3.
what is negative 3 and one fourth minus 3 and one fourth
Answer:
-6 1/2
Step-by-step explanation:
Answer:
-6.5
Step-by-step explanation:
pls give me brainiest
what is the square root of mc squared? I REALLLY NEED HELP!!!!!
Answer:
c = √(E/m) or (E/m)½
According to my college physics professor, E=mc2 is an over-simplification of the mathematical formula. The way E=mc2 has been taught in the grammar schools drove him crazy.
i'm just kidding i didn't really look it up on the internet
yep i already know i'm wrong
-37+n=-56 for n how do I solve this
A piece of iron has a volume of 15cm^3 and a mass 27g.calculate the density of iron in kg/m^3
Answer:
density = mass/volume or mass = density * volume, so 7.86 * 15 = 117.9 grams
Step-by-step explanation:
Can someone Help plz!!
Answer:
It's c
Step-by-step explanation:
The length of BC is 14.
Because according to pytheorem
H = p +b
The indicated function
y1(x)
is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
y2 = y1(x)
e−∫P(x) dx
y
2
1
(x)
dx
(5)
as instructed, to find a second solution
y2(x).
x2y'' + 2xy' − 6y = 0; y1 = x2
y2 =
The indicated function y1(x) is a solution of the given differential equation, the second solution is mathematically given as
[tex]y2=\frac{-1}{5x^2}[/tex]
What is the second solution?Generally, the equation for the differential equation is mathematically given as
x^2y^2+2xy1-6y=0
Where
p(x)=2/x
[tex]y_2=y_1\inte\frac{p(x)dx}{y1^2}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2/x dx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2logx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.x * x^{-2}dx[/tex]
y2=x^2*-1/5x^5=-1/5x^3
[tex]y2=\frac{-1}{5x^2}[/tex]
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PLEASE HELP! WILL GIVE BRAINLIEST!
Write a function and its parents function then describe the transformation.
f(x)=2x-3; vertical shrink by a factor of 1/3.
;)
Answer:
Graph the function and its parent function. Then describe the transformation. 7.9(x) = x + 4. 8. f(x) = x - 6. 4. 8 x. -4. 48 x ... Write a function g whose graph represents the indicated transformation of the graph of f. ... 96)= 14x+31+2 -2 = 14x+3| ... 33. f(x) = x; translation 3 units down followed by a vertical shrink by a factor of.
Step-by-step explanation:
Hope this helps!
Translate this sentence into an equation.
28 is the product of Rhonda's age and 2.
Use the variable r to represent Rhonda's age.
The sentence "28 is the product of Rhonda's age and 2" can be translated into the following equation as 28 = 2 × r
In this equation, use the variable 'r' to represent Rhonda's age.
The equation states that the number 28 is equal to the product of 2 and Rhonda's age (r).
This equation describes the relationship between the value 28 and Rhonda's age.
If you know the value of 'r', you can solve for 28, and vice versa.
It's a simple way to express the given information mathematically.
Therefore, the given sentence about product of Rhonda's age and 2 is equal to 28 written in the equation form as 28 = 2 × r .
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Brainliest if right. A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
1)
cubic inches
2)
cubic inches
3)
cubic inches
4)
cubic inches
Answer:
480
Step-by-step explanation:
multiply all together
Brainliest plz
What is the solution to this inequality? 6x−5>−29 A x>4 B x>−4 C x<−4 C x<4
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation: