Answers
Answer:
Step-by-step explanation:
First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).
Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:
[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]
Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:
[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]
The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to
[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to
[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934
Related Questions
Help help math please help help help help
Answers
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
plsss answer my questions in the picture
Answers
Answer:
8. B
9. B
10. B
thats my answer
pls help me i will give u thanks
Answers
Hope this helps!!
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
help on 37 pleaseee (geometry)
Answers
Answer:
Step-by-step explanation:
x = 127
y = 5
z = 31
calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii
Answers
Take the Laplace transform of both sides:
L[y'' - 4y' + 8y] = L[δ(t - 1)]
I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :
(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]
s²Y - 4sY + 8Y = exp(-s)
(s² - 4s + 8) Y = exp(-s)
Y = exp(-s) / (s² - 4s + 8)
and complete the square in the denominator,
Y = exp(-s) / ((s - 2)^2 + 4)
Recall that
L⁻¹[F(s - c)] = exp(ct) f(t)
In order to apply this property, we multiply Y by exp(2)/exp(2), so that
Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)
Then taking the inverse transform, we have
L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]
L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]
L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]
Next, we recall another property,
L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)
where F is the Laplace transform of f, and u(t) is the unit step function
[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]
To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is
L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)
Then we find
L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))
and so we end up with
y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)
Please help me, thanks
Answers
Answer:
D how many months until the total spent is the same for both gyms
Step-by-step explanation:
30m+50 = 10m+100
By setting the cost of gym A equal to gym B we are finding how many months it is when the cost is the same
Answer:
How many months until the total spent is same for both the gyms
Step-by-step explanation:
Then
GYmA=GYm B30m+50=10m+100We may solve it
20m=50m=5/2m=2.5monthsoption D
3/8 + 1/8 + 2/3 - 1/2 =
Answers
Answer: 2/3 (answer in decimal form = 0.6)
Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.
Helmet Nemzek recieved a COLA of 2.3% on his weekly gross wages of $760 how much will helmet earn per week after the pay increase
Answers
Answer:
Step-by-step explanation:
$760(1.023) = $777.48
What are some of the consequences the employee face
Answers
Answer:
rude customers and complaints
Answer:
Ignorant managers.
Step-by-step explanation:
Ignore them
Find somewhere else to move.
1.5 - x
0.4 = - 7.75
Answers
Answer:−0.6
Step-by-step explanation:
(-1).3/5=−0.6
What is the domain of f(x)=(1/4)^x?
A. y > 0
B. x < 0
C. x > 0
D. All real numbers
Answers
[tex] \huge \bf༆ Answer ༄[/tex]
The domain of given function is All real numbers
[tex] \sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x} [/tex]
For each value of x the function is defined.
Example -
For x = 1The value is [tex] \sf\frac{1}{4}[/tex]
For x = -1The value is 4
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Select the graph which correctly displays the function f(x) = |x + 2|– 3.
graph 1
graph 2
graph 3
graph 4
Answers
Answer:
Graph 4
Step-by-step explanation:
I have to put more words lol
Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.
Answers
Answer:
6%
Step-by-step explanation:
15/250=3/50 or 6%
The probability that Sarah would win the prize quilt given the tickets she bought is 6%.
What is the probability?
Probability is how likely it is that a stated event would happen. The probability of the event happening lie between 0 and 1.
The probability that Sarah would win the prize quilt = number of tickets bought / total number of tickets
(15 / 250) x 100 = 6%
To learn more about probability, please check: https://brainly.com/question/13234031
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Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.
Answers
Answer:
The slope is:
[tex] \binom{1}{2} [/tex]
In slope-intercept form the equation is:
[tex]y = \binom{1}{2} x - 3[/tex]
Area of a circle
You might need:
Calculator
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.
T = 1
units
Answers
Answer:
If the radius is 1, then the answer is pi.
Radius=r=1
Area
πr²π(1)²1ππ3.14 units²Classify: −4m+21(m−1)≤15m+2(m−1).
Answers
Answer:
[tex]\boxed{\sf All\: real\: numbers}[/tex]
Step-by-step explanation:
[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]
Apply Distribution law:
[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]
Combine like terms:
** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]
[tex]\sf 2(m-1)[/tex]
[tex]\hookrightarrow 2m-2[/tex]
-----------------------------------------
[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]
Combine like terms:
** [tex]\sf 15m+2m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]
Add 21 from both sides:
[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]
[tex]\longmapsto\sf 17m\le \:17m+19[/tex]
Subtract 17m from both sides:
[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]
[tex]\longmapsto\sf 0\le \:19[/tex]
Therefore, the solution of the inequality: All real numbers
_____________________________________________
I NEED HELP W THIS ASAP!!!!!
Answers
Answer:
[tex]18[/tex]
Step-by-step explanation:
[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]
Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48
Answers
The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.
Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.
It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.
Read related link on:
https://brainly.com/question/25701252
Answer: The correct answer is n≥48
Step-by-step explanation: Give me the brainiest
Collect the like terms: 5a + 2b + b - 2a
Answers
Answer:
5a+2b+b-2a
5a-2a+2b+b
3a+3b
Answer the question based on this system of equations.
{x=y−5
6x−2y=22
Which of the following choices help to verify whether (7,12) is a solution to the system above?
Select all that apply.
Group of answer choices
1.) 7=12−5 is true.
2.) 7=12−5 is not true.
3.) 6(7)−2(12)=22 is true.
4.) 6(7)−2(12)=22 is not true.
Answers
Step-by-step explanation:
1.) 7=12 - 5 is true
4.) 6(7) - 2(12) = 22 is not true
soooooooooooooooooooooooo who wants to help with mah math
Answers
Answer:
t = c · (3.5)
Step-by-step explanation:
The rate of change is 3.5.
So it takes three and a half mins to make one plane
So 3.5 times the number of planes equals the total time it takes to make them.
I really hope this helps!
$4800 is 60% of what number?
Answers
Answer:
8000
Step-by-step explanation:
find the slope from the pair of the points
(-3,-4) (1,5)
Answers
Answer:
2.25
Step-by-step explanation:
m = 9 / 4 = 2.25
points belong to an increasing, linear function.
Equation: y = 2.25x + 2.75.
BRAINLIEST?
Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.
Answers
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]
[tex]\\ \sf\longmapsto 3=125+b[/tex]
[tex]\\ \sf\longmapsto b=-122[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=-25x-122[/tex]
Pre college need help
Answers
Answer:
C
Step-by-step explanation:
Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know
Answers
Answer: Yes
Step-by-step explanation:
A: 12 minutesAnswer to B: 36 minutesAnswer to C:
Select the correct answer from the drop-down menu.
Rewrite the formula to find the radius of a sphere.
V=
= GT 73
The volume (V) of a sphere is given by the formula
The sphere's radius (() is
Reset
(3V/4pi)1/3
(4V/3pi)1/3
(3pi/4V)1/3
Answers
Answer:
The formula of a sphere is v= 4/3 pi root to the power of 3.
Step-by-step explanation:
The answer is B
Two angles are supplementary. One of the angles measures 4(2x+9)and the other angle measures 2(4x−8). What is the value of x?
Answers
Answer:
x=10
Step-by-step explanation:
4(2x+9) +2(4x-8) = 180 >> sumpplementary angles .
16x = 180 -36+16
16x=160
x=10
Solve. 140% of 340 is what number?
Answers
Answer:
The answer is 476
Step-by-step explanation:
hope this helps :)
The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.
Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest
Answers
Using the partial quotient method, it is found that:
The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.Partial quotient methodWhen division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.
Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.
In this problem, the divisor is as follows;
19.
The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.
The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.
The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.
Then the final quotient is given as follows:
300 + 80 + 3 = 383.
Missing InformationThe subtractions are given by the image at the end of the answer.
More can be learned about the partial quotient method at https://brainly.com/question/2059458
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