Answer:
∫ₑ°° 1 / (x (ln x)¹⁰) dx
∫₁°° x⁻³ dx
Step-by-step explanation:
A p-series 1 / xᵖ converges if p > 1.
∫ₑ°° 1 / (x (ln x)¹⁰) dx
If u = ln x, then du = 1/x dx.
When x = e, u = 1. When x = ∞, u = ∞.
= ∫₁°° 1 / (u¹⁰) du
p = 10, converges
∫₁₀°° x^(-⅔) dx
= ∫₁₀°° 1 / (x^⅔) dx
p = ⅔, diverges
∫₁°° 2 / x^0.5 dx
= 2 ∫₁°° 1 / x^0.5 dx
p = 0.5, diverges
∫₁°° x⁻³ dx
= ∫₁°° 1 / x³ dx
p = 3, converges
∫₂°° 1/(3x) dx
= ⅓ ∫₂°° 1/x dx
p = 1, diverges
Find the value of x- pls help
Answer:
35.2
Step-by-step explanation:
Find the equation of the line that passes through the point (5, -4) and is perpendicular to the line y=1/4x - 2 .
Answer:
The equation of the line is:
[tex]y = -4\,x +16[/tex]
Step-by-step explanation:
A line perpendicular to the given one is going to have a slope equal to the opposite of the reciprocal of 1/4. That is the slope of the new line will be "-4".
Now we write the point-slope form for a line using the info provided of slope -4 and point (5, -4):
[tex]y-y_0=m\,(x-x_0)\\y - (-4) = -4 \,(x-5)\\y+4 = -4\,x +20\\y = -4\,x +16[/tex]
Answer:
y = -4x + 16
Step-by-step explanation:
For questions like this, I would first find the slope of the line that we are trying to find the equation for. To do this, I would use the line y = 1/4x - 2 and find the slope of a line that would be perpendicular to it. Taking the negative reciprocal of the slope of y = 1/4x - 2 will do just that.
By looking at the equation y = 1/4x - 2, we can see that the slope of the line is 1/4. The negative reciprocal of 1/4 would be -4, which would be the slope of the line whose equation we are trying to find.
Since we have a point on the line, and we now have the slope of the line, we can now make an equation for the line in point-slope form:
y + 4 = -4(x - 5)
Now while this is an equation for the line, lets try to get it into slope-intercept form:
y + 4 = -4(x - 5)
Distribute the -4 on the right side of the equation.
y + 4 = -4x + 20
Subtract 4 from both sides.
y = -4x + 16
And now we have the equation of the line in slope-intercept form.
I hope you find my answer helpful.
Define the remainder theorem
The area of the parallelogram is 31.5 cm? What is the parallelogram's height?
b=3.75 cm
Answer:
[tex] \boxed{\sf Height \ of \ parallelogram \ (h) = 8.4 \ cm} [/tex]
Given:
Area of parallelogram (A) = 31.5 cm²
Base of parallelogram (b) = 3.75 cm
To Find:
Height of parallelogram (h)
Step-by-step explanation:
Area of parallelogram (A) = Base (b) × Height (h)
31.5 = 3.75 × h
h × 3.75 = 31.5
h = [tex] \sf \dfrac{31.5}{3.75} [/tex]
h = 8.4 cm
The height of the parallelogram is 8.4cm with a base of 3.75cm and an area of 31.5 sq cm.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
Given, The area of the parallelogram is 31.5 sq cm and the base is 3.75 cm.
We know the area of a parallelogram is base×height.
∴ h×3.75 = 31.5.
h = (31.5/3.75) cm.
h = 8.4 cm.
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how many solutions does the equation have? -3f + 3f = 0
Answer:
infinite solutions
Step-by-step explanation:
-3f + 3f = 0
0=0
This is always true so there are infinite solutions
Answer:
All Real Numbers (infinite Solutions)
Step-by-step explanation:
When you cancel out the -3f and the +3f you get [tex]0=0[/tex] and since that is true you get all real numbers
Hope this helps
Tell which set or sets the number 16 belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers
Answer:
yellow :)
Step-by-step explanation:
Answer:
natural numberswhole numbersintergersThe average person drinks 3.4 pints in a day . How many gallons is that in a week
Answer:
2.975 gallons a week
A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario
Answer: [tex]P=2000(1.04)^t[/tex].
Step-by-step explanation:
It is given that,
Initial population of a town = 2000
Growth rate = 4% = 0.04 per year
The exponential growth function for population is
[tex]P=P_0(1+r)^t[/tex]
where, [tex]P_0[/tex] is initial population, r is growth rate and t is number of years.
Substitute [tex]P_0=2000,r=0.04[/tex] in the above equation.
[tex]P=2000(1+0.04)^t[/tex]
[tex]P=2000(1.04)^t[/tex]
Therefore, the required equation is [tex]P=2000(1.04)^t[/tex], where P is population after t years.
Solve the equation 6z = 48
Answer:
z = 8
Step-by-step explanation:
We divide 6 on both sides ^^
3x-9-2x+4. answer????
Let x represent an unknown number. Write an equation that represents the given statement. Then find the value of the unknown number.
Eleven less than seven times a number is -4. Find the number.
Part: 0/2
Part 1 of 2
An equation that represents the given statement is
D=D
5
Hey there! I'm happy to help!
If something is 11 less, we are subtracting 11.
-11
We have 11 less than seven times a number x.
7x-11
The word is means equals.
7x-11=-4
Now we need to isolate the x. We add 11 to both sides.
7x=7
We divide both sides by 7.
x=1.
Have a wonderful day! :D
30 POINTS!!! Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money spent in dollars where x is the number of movies. Does a possible solution of (6.5, $17.50) make sense for this function? Explain your answer.
Yes. The input and output are both feasible.
No. The input is not feasible.
No. The output is not feasible.
No. Neither the input nor output is feasible.
Answer:
B. No the input is not feasible
because you cannot rent 6,5 movies :p
Answer:
No, the input is not feasible.
Step-by-step explanation:
I took the test, and got it right, the other dudes logic is sound as well.
What is n?
6/5 = n/15
Answer:
n = 18
Step-by-step explanation:
[tex] \frac{6}{5} = \frac{n}{15} [/tex]
Cross multiply and simplify
[tex]6 \times 15 = 5 \times n \\ 90 = 5n[/tex]
Divide both sides of the equation by 5
[tex] \frac{90}{5} = \frac{5n}{5} [/tex]
Simplify : Cross cancel common factor: 5
[tex]18 = n \\ n = 18[/tex]
Answer:
n=18
Step-by-step explanation:
hope this helps.
plzzz brainliest
A cup of coffee costs $4 and a cup of tea costs $3.50. If ray has $40 and has bought 6 cups of coffee, find the maximum of tea he can buy.
Answer:
Coffee= $4
Tea= 3.50
6x4=$24
so with this in mind you must take 24 and divide it by the price of tea
24/3.50 is 6.8 so they max cups of tea he can buy is 6.
Hope this helps. :)
Step-by-step explanation:
The maximum number of cups he can buy will be 7.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a cup of coffee costs $4 and a cup of tea costs $3.50. If ray has $40 and has bought 6 cups of coffee.
6x4=$24
Divide 24 by 3.50 to get the number of cups.
24/3.50= 6.8
Therefore, the maximum number of cups he can buy will be 7.
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The 2 in 1,703,298 has _______________ the value of the 2 in 3,932,574.
Answer:
1/10
Step-by-step explanation:
The value of 2 in 1,703,298 is 200.
The value of 2 in 3,932,574 is 2,000.
2,000 divided by 200 is 10.
Therefore, the 2 in 1,703,298 has 1/10 the value of the 2 in 3,932,574.
Answer:
1 tenth or 10%
Step-by-step explanation:
The 2 in the first number is in the hundreds place (200) but the 2 in the second number is thousands place(2000)
200/2000=0.1 or 10%
Hope this helps! Plz award Brainliest : )
What’s the slope intercept form.slope -3/4 and passes through (8,-3)
Answer:
Step-by-step explanation:
y + 3 = -3/4(x - 8)
y + 3 = -3/4x + 6
y = -3/4x + 3
Simplify the expression.
9^1/2 - 16^1/4 =___
which situation best represents the following equation 15+.15x<25+.05x
Answer:
x<10
Step-by-step explanation:
First, we want to move all of our like terms to one side. In the inequality, the variable x on one side and our whole numbers on the other.
To do this you have to cancel out 0.5x on the right side. So you need to subtract 0.5 from both sides.
This leaves you with 15+x<25. Subtract 15 from both sides which leaves you with x<10
Hope this helps :)
PLEASE ANSWER FAST ILL GIVE YOU BRAINLIEST❤️❤️❤️❤️
Answer:
No, he should have gotten $11.70.
Step-by-step explanation:
50.00
-38.70
______
$11.30
Owen's parents were planning a big birthday party for him.
They spent $150 to rent a bounce house for 8 hours. How much is the hourly rate for the rental?
Answer:
18.75/ hour
Step-by-step explanation:
Simply divide 150 by 8.
GPA
1.73
3.08
3.39
3.7
3.52
3.28
2.87
1.86
2.73
1.93
2.15
1.55
2.24
1.63
3.26
Answer:
i dont get what you mean
Step-by-step explanation:
idki dont know
Help me and I’ll give you all my points
Answer:
The answer is B
Step-by-step explanation:
The answer is B because if you divide 4 into 24 it will equal 6, therefore the answer is B because it is 1/6
3/8 + 1/8 - 1/7 + 1/4 =
Answer:
0.60714285714
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 12/32 in simplest form.
Step-by-step explanation:
12/32 in simplest form
First both have the table of 4 in common
3/8
Then we cannot divide it further so this is the simplest form
Are the points H and L collinear?
E
S
H
6. As part of their employee benefits, all workers at Light and Power Electric Company
receive a pension that is calculated by multiplying the number of years worked
times 1.875% of the average of their three highest years' salaries. Mia has
worked for LPEC for 30 years and is retiring. Her highest salaries were
$92,000, $94,800, and $96,250. Calculate Mia's pension.
Answer:
$1769.06
Step-by-step explanation:
The sum of Mia's three highest salaries is ...
$92,000 +94,800 +96,250 = $283,050
so the average is ...
$283,050/3 = $94,350
Her pension is then ...
0.01875 × $94,350 = $1769.06
_____
Additional comment
This is equivalent to the total of those salaries, divided by 160.
T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160
Sometimes, there are simpler ways to calculate things like this.
Analyze the image below and answer the question that follows. A cross-sectional view of the Earth to show the 4 layers. An arrow points to the fourth layer. Image by Mats Halldin and Charles C. In the image above, the arrow is pointing to a layer of the Earth that is solid and extremely hot. Which of the Earth’s layers is the arrow pointing to? A. the mantle B. the crust C. the inner core D. the outer core Please select the best answer from the choices provided A B C D
Answer:
The mantle is the #2 the crust is #1 the outer core is #3 the inner core is #4
Hoped I helped
Answer:
A
Step-by-step explanation:
Find the volume of the solid under the plane 3x+2y−z=0 and above the region enclosed by the parabolas y=x^2 and x=y^2.
The region in the x-y plane is the set of points
[tex]R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}[/tex]
The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.
So the volume is
[tex]\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
[tex]=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx[/tex]
[tex]=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx[/tex]
[tex]=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}[/tex]
Write root(4, 81 ^ 5) exponential form
Answer:
81^(5/4)
Step-by-step explanation:
The index of the root becomes the denominator of the exponent fraction.
[tex]\sqrt[4]{81^5}=\boxed{81^{\frac{5}{4}}}\\\\=243[/tex]
Answer:
1st problem: 81 5/4
2: 81 5/4
3: 243
Step-by-step explanation:
for edge 2021(:
PLEASE HELP!!!
Compare the ratios to determine which ratio is greater by cross multiplying. Which ratio is greater?
Can you also please explain?
Step-by-step explanation:
It wants u to cross and multiply so what i would do is put both of them together and multiply across and when u get the answers that u multiply u then divide to see what was the lowest and what the greatest ratio was so for me i would gi with a