Answers
[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]
Solution:[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]
Related Questions
The five-number summary for the number of aces Olga served during each tennis match is shown in the following table.
\text{Min}Minstart text, M, i, n, end text Q_1Q
1
Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q
3
Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text
000 333 666 101010 141414
Olga had more than 666 aces in about what percent of tennis matches?
Answers
Answer:
50%
Step-by-step explanation:
the first number represent 0% then 25% then 50% then 75% then 100%
6 was in the half so 50%
John's parents deposited $1000 into a savings account as a college fund when he was born. How much will John have in this account afer 18 years at a yearly simple inerest rate of 3.25%?
Answers
Answer:
$1,585
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
where:
A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)Given:
P = $1000r = 3.25% = 0.0325t = 18 yearsSubstituting given values into the formula:
⇒ A = 1000(1 + 0.0325 · 18)
= 1585
Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.
Answers
Answer:
[tex]\huge\boxed{\sf -2.280}[/tex]
Step-by-step explanation:
Finding value of log₃(4/49):
[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]
Given that:
log₃4 ≈ 1.262, log₃7 ≈ 1.771
Put the values in the above expression
[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]
please slove
10^3⋅10^4/10^5
Answers
Answer:
100
Step-by-step explanation:
10^3= 10x10x10= 1000
10^4= 10x10x10x10= 10000
10^5= 10x10x10x10x10= 100000
( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.
ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one
step 2 solve
1000x10000/100000= 100
Answer:
10^2
Step-by-step explanation:
10^3⋅10^4/10^5
add the exponents when multiplying
10^7/10^5
subtract the exponents when dividing
10^2
Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?
$1.95
$5.85
$6.80
$7.80
Answers
Answer: $5.85
Step-by-step explanation:
Answer:
5.85
Step-by-step explanation:
since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85
Find the surface area
Answers
Answer = 221.52cm²
Step-by-step explanation:
Surface area of a hexagonal pyramid = B × H ÷ 2
Where,
b = 6
h = 5.2
⇒ 6 × 5.2 ÷ 2 = 15.6
⇒ 15.6 × 5.2 = 81.12
⇒ 6 × 9 ÷ 2 ⇒ 54 ÷ 2 = 27
⇒ 27 × 5.2 = 140.4
140.4 + 81.12
= 221.52
Answer:
Step-by-step explanation:
a -> apotham of the hexagon ⇒ a = 3√3 cm
b -> base ⇒ b = 6 cm
s ->slant height ⇒ s= 9 cm
[tex]\text{Area of hexagonal pyramid=3*ab +3*b*s}[/tex]
= 3*3√3*6 + 3*6*9
= 54*1.732 + 162 [√3 = 1.732]
= 93.6 + 162
= 255.6 cm²
Please help I'm extremely confused.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answers
Answer:
8.4 is the correct answer on acellus
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2
Answers
Answer:
D
Step-by-step explanation:
to find a term in the sequence multiply the previous term by r , then
a₄ = - 8 , so
a₅ = - 8 × 0.5 = - 4
a₆ = - 4 × 0.5 = - 2
The sixth term of the sequence will be negative 2. Then the correct option is D.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The fourth term (a₄) is negative 8 and the common ratio is 0.5.
Then the sixth term will be
For n = 5, we have
a₅ = a₁ · (r)⁵⁻¹
a₅ = a₁ · (r)⁴
a₅ = a₁ · r³ · r
a₅ = a₄ · r
a₅ = -8 · 0.5
a₅ = -4
Then the sixth term of the sequence will be
a₆ = a₁ · (r)⁶⁻¹
a₆ = a₁ · (r)⁵
a₆ = a₁ · r⁴ · r
a₆ = a₅ · r
a₆ = -4 · 0.5
a₆ = -2
The sixth term of the sequence will be negative 2.
Then the correct option is D.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ2
can you please help me?
Answers
Answer:
24.00
Step-by-step explanation:
8 times tables
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 7 hours? Explain your reasoning
Answers
Answer:
55.75
Step by step explain:
33.00 divided by 4 equals 8.25
then multiply 8.25 by 7 which equals 55.75
A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )
Answers
Answer:
[tex]0.71\pi\: in^2[/tex]
Step-by-step explanation:
[tex]r_1= 3.5\: in[/tex]
[tex]r_2= 3.6\: in[/tex]
[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]
[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]
[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]
[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]
A mother shared $600 amongst her three daughters Ana, Betty and Carol in the ratio of 2:3:5 respectively. How much money did Betty receive?
Answers
Ana, Betty and Carol in the ratio of 2:3:5 respectively
mom cut the $600 in (2+3+5) 10 parts
and gave 3 parts to betty
so B got 600 : 10 x 3 = $180
A bag of candy contains 300 pieces of which 28% are red. How many pieces are not red? *
Answers
Answer:
The answer is: 84
Step-by-step explanation:
Trust me
good luck
On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis
Answers
Answer:
D. Reflection across the y-axis
Step-by-step explanation:
In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.
What is the volume of this figure?
Enter your answer in the box.
ft³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the wider part of the L is on the bottom and the L extends up from the left side. The wider part of the L has a length of 6 ft and a width of 2 ft and a height of 3 ft. The L extends up on the left side with the total height of the figure labeled 8 ft. The taller part of the L has a length of 4 ft and a width of 2 ft.
Answers
The volume of the L-shaped figure would be the total volume of the two rectangular prisms that forms the shape.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = length × width × height
The image referred to in this question is missing, however, to find the volume of the figure that has L-shape, decompose the figure into two rectangular prism and find the volume of each rectangular prism.
The volume of the figure would be the total volume of the two rectangular prisms.
Learn more about volume of rectangular prism on:
https://brainly.com/question/12917973
Which value is a solution of the inequality 2x − 3 < 9? A. x = −4 B. x = −3 C. x = −2 D. x = 3
Answers
Answer:
[tex]\huge\boxed{\sf x < 6}[/tex]
Step-by-step explanation:
Given inequality:
2x - 3 < 9
Add 3 to both sides
2x < 9 + 3
2x < 12
Divide 2 to both sides
x < 6
[tex]\rule[225]{225}{2}[/tex]
Answer:
Step-by-step explanation:
2x − 3 < 9
Solve:
2x − 3 < 9 <== add 3 to both sides
+ 3 + 3
2x < 12 <== divide both sides by 2, to isolate the variable (x)
/2 /2
x < 6
This means that x, can be any number than is smaller than (less than) 6.
A. x = −4
-5 < 6 <== correct
B. x = −3
-3 < 6 <== correct
C. x = −2
-2 < 6 <== correct
D. x = 3
3 < 6 <== correct
Therefore, all these are solutions to the inequality.
Hope this helps!
What is the volume in cubic meters of the rectangular prism that is 4 meters tall, 212 meters wide, and 8 meters long?
Answers
Length = 8m
Breadth = 212m
Height = 4m
Volume = ?
Now,
Volume = l*b*h
= 6784m^3
.•. Volume = 6784m^3
Hope it helped you
can you guys answer this?
Answers
An isosceles right triangle has two congruent angles and a right angle
It is true that the base angle of an isosceles right triangle is 45 degrees
How to determine the base angle?From the question, we understand that:
Triangle type = isosceles right triangle
The sum of angles in a triangle is:
x + y + z = 180
Assume the triangle is right-angled at z.
So, we have;
z = 90
The equation becomes
x + y + 90 = 180
Subtract 90 from both sides
x + y = 90
The triangle is an isosceles triangle.
So, we have: x = y
The equation becomes
x + x = 90
2x = 90
Divide by 2
x = 45
Hence, it is true that the base angle of an isosceles right triangle is 45 degrees
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
What is the solution to the equation?
Choose the student who solved the equation correctly.
12a = 6
Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.
9.1k = 63.7
The solution is
.
Answers
YOUR ANNSWER IS B OR JESSI’S WORK.
Answer:
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2
Step-by-step explanation:
so it's B or jessi work
Brainliest available
Simplify
Answers
Answer:
8x^3y^3
Step-by-step explanation:
Thats the answer but the ones with the symbol are up
To simplify this, we must simply power every component within the parentheses by 3
[tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]
Hope that helps!
Tanya is training for a bike race. She rode ten miles on Monday, twelve miles on Wednesday, seventeen miles on Thursday, and thirty one miles on Saturday. How many miles in all did Tanya ride?
Answers
Step-by-step explanation:
in total Tayna rides 70 miles.
The table shows the masses of eight polar bears.
Answers
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 62. As a result, the median and the mean would be smaller. The mode would not be affected by the outlier.
To learn more about outliers, please check: https://brainly.com/question/26958242
Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
Answers
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
Gavin purchased a stereo speaker in the shape of a triangular pyramid. It has a height of 6 inches. The volume of the speaker is 22 in3.
What is the area of the base of the speaker?
A. 5 in
B. 11 in
C. 66 in
D. 44 in
Answers
Answer: 11 in
Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.
what is the x and y intercepts for 2y = 8 - 8x
Answers
A new car is purchased for 15100 dollars. The value of the car depreciates at 12. 25% per year. To the nearest year, how long will it be until the value of the car is 2300 dollars?
Answers
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]
[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]
5 out of 13 students will ride in a car instead of a van
Answers
Answer:
Step-by-step explanation:8
Answer:
the answer is 8 i think xddd
The question is below:
Answers
Answer:
D.
Step-by-step explanation:
The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.
Twice as fast = 15 X 2 = 30 per minute
Only the data in Table D fits.
660 / 22 = 30
720 / 24 = 30
Item 3
Solve for b.
16=a2+b2
b=16−a2
b=4−a
b=±16+a2−−−−−−√
b=±16−a2−−−−−−√
Answers
Answer:
I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.
My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?
Answers
Answer:
4:15
Step-by-step explanation:
add 2 hours that is 3:30
3:30 +30=4:00
and there oly 15 min left so
its 4:15