Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?
Answer:
-
Step-by-step explanation:
Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?
19 miles?
7 miles?
5 miles?
12 miles?
what is the inverse of the relation
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
find the value of root 7 upto 4 decimal
Answer:
2.6458
Step-by-step explanation:
A root of 7 is definitely between the numbers 2 and 3. When you put this number on a calculator the number should be 2.6458 when rounded.
Answer:
the answer is 2.64575
Step-by-step explanation:
because √2 = 1.414, √3= 1.732, √4 = 2, √5 = 2.236, √6 = 2.449, and √7 = 2.64575 or 2.646
Simplify the expression: 12x+3x+4x
Answer:
19x
Step-by-step explanation:
12+3+4=19
19x
Answer:
12x+3x+4x=19x
Step-by-step explanation:
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decimal)
Answer:
[tex]Gallons = 27.95[/tex]
Step-by-step explanation:
Given
[tex]Gallons : Miles = 17:590[/tex]
Required
Determine the number of gallon for 870 miles
To do this, we simply substitute 870 for miles in the ratio above
So, we have:
[tex]Gallons : 870= 17:590[/tex]
Convert to fraction
[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]
Multiply through by 870
[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]
[tex]Gallons = \frac{17}{590}*970[/tex]
[tex]Gallons = \frac{17*970}{590}[/tex]
[tex]Gallons = \frac{16490}{590}[/tex]
[tex]Gallons = 27.95[/tex]
Solve each system using SUBSTITUTION. Remember to check!
2) y = –2x – 1
y = 3x – 16
Answer:
[tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex]
Step-by-step explanation:
We can directly substitute y of the first equation to the second equation.
-2x - 1 = 3x - 16
5x = 15
x = 3
Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.
Therefore [tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex].
need help with this
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
Please can someone do itpleaseeeeeeee
Answer:
a=250
b=10
done...
Help who ever. actually helps me gets brainliest.
Answer:
A, C
Step-by-step explanation:
6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2
dividing 6 by 1/2 is the same as multiplying 6 by 2
Graph the line that passes through the points (-6,5) and (-9,9) and determine
the equation of the line.
Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.
Answer:
D. n = 10 or 20 they have the same probability
In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
======================================================
Explanation:
There are 8+11 = 19 movies that are either horror or mystery.
This is out of 9+12+8+11+4 = 44 movies total.
Divide the two sums to get 19/44 = 0.43181818181818 approximately.
This rounds to 0.432
There's roughly a 43.2% chance of picking a horror or mystery movie.
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08
HELP PLEASE ASAP!!!!!
Answer:
1 1/2 cups of flour :))
Step-by-step explanation:
Answer:
2 5/8 cups ur welcome
you convert 1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.
A bag contains cards numbered 1-5.
There is only one card for each number in the
bag. A card is selected at random. Then a
second card is selected, without replacing the
first card. Create a list of the possible
outcomes for the card selections
This is a solid bounded by a curved lateral surface and two
circular bases.
Answer:
Cylinder
Step-by-step explanation:
...
2(1-x) + 3x
Pls help I only have 24 minutes
Answer:
x+2
Step-by-step explanation:
What would the function be for the following statement:
"y is 3 more than half of x"?
Answer:
0
Step-by-step explanation:
Select all the correct answers.
Which expressions are equal to 105?
(104)1
1
103.102
1
105
(103)2
10.10.10.10.10
The expressions that equal to 10⁵ are, 10³.10² and 10.10.10.10.10.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The expression that equals to 10⁵ are,
10³.10².
= 10 ³⁺².
= 10⁵.
10.10.10.10.10 ('.' implies multiplication)
= 10¹.10¹.10¹.10¹.10¹.
= 10¹⁺¹⁺¹⁺¹⁺¹.
= 10⁵.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ5
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
What's the two numbers that round to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000,then find the exact sum and the exact difference provide a detailed explanation as to how you reached your answers and why they will work
Answer:
hi
Step-by-step explanation:
hi hi hi hi hi hi hi.........
Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24
Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]
= [tex]\sqrt{(-4)^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex]
≈ 4.12 ( to the nearest hundredth )
Answer:
The distance between given points is: 4.12 units
Step-by-step explanation:
Given points are:
(3, 8) and (-1, 9)
Here
[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]
The distance is calculated using the following formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values, we get
[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]
Rounding off to nearest hundredth
d = 4.12 units
Hence,
The distance between given points is: 4.12 units
4 p 2x + 3p 7x
Help please
Answer:
Hope this helps :O
Step-by-step explanation: