Answer:
354.2
Step-by-step explanation:
I need help my teacher needs it tomorrow
[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]
5. Solve the differential equations using Laplace transforms
y'' − 3y' + 2y = 1, y(0) = 1, y'(0) = 0
y'' + y' − 2y = x², y(0) = 0 and y'(0) = 0
y'' + y' − 2y = e⁻³ˣ, y(0) = 0 and y'(0) = 0
Answer:
First problem: [tex]y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]
Step-by-step explanation:
Solve for Y(s) by taking the transform of every term
[tex]y''-3y'+2y=1,\:y(0)=1,\:y'(0)=0\\\\\mathcal{L}\{y''\}-3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{1\}\\\\s^2Y(s)-sy(0)-y'(0)-3[sY(s)-y(0)]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3[sY(s)-1]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3sY(s)+3+2Y(s)=\frac{1}{s}\\\\(s^2-3s+2)Y(s)-s+3=\frac{1}{s}\\\\(s-1)(s-2)Y(s)=\frac{1}{s}-3+s\\\\Y(s)=\frac{1}{s(s-1)(s-2)}-\frac{3+s}{(s-1)(s-2)}[/tex]
Perform partial fraction decomposition
[tex]Y(s)=\frac{1-3s+s^2}{s(s-1)(s-2)}\\\\Y(s)=\frac{s^2-3s+1}{s(s-1)(s-2)}\\ \\\frac{s^2-3s+1}{s(s-1)(s-2)}=\frac{A}{s}+\frac{B}{s-1}+\frac{C}{s-2}\\\\s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)[/tex]
Solve for each constant
[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(2)^2-3(2)+1=A(2-1)(2-2)+B(2)(2-2)+C(2)(2-1)\\\\-1=2C\\\\-\frac{1}{2}=C[/tex]
[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(1)^2-3(1)+1=A(1-1)(1-2)+B(1)(1-2)+C(1)(1-1)\\\\-1=-B\\\\1=B[/tex]
[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(0)^2-3(0)+1=A(0-1)(0-2)+B(0)(0-2)+C(0)(0-1)\\\\1=2A\\\\\frac{1}{2}=A[/tex]
Take the inverse transform to solve the IVP
[tex]Y(s)=\frac{\frac{1}{2}}{s}+\frac{1}{s-1}+\frac{-\frac{1}{2}}{s-2}\\ \\y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]
bettie bought are reel of thread for sowing that is 14.5 meters long. Bettie uses 425 centimeters for a project. How many meters are left on the reel?
Peter deposited 5000 ssp in the bank with an interest rate of 5% for 3 years what was the interest
Answer:
$250Step-by-step explanation:
First calculate what 1% of 5,000 is (50). Second multiply 50 by 5 (250) Now you got your answer! :)PS:Can you please mark me brainly? It would mean the world to me.
Question 1 (1 point)
Train X travels 20 km/hr faster than train P. If train X travels 50 km in the same time
that train P travels 40 km. How long would it take Train X to travel 500 km?
Approximate you answer to 2 decimal places, and input your answer in hours.
By solving a system of equations, we will see that Train X travels 500km in 5 hours.
How to get the speeds of the trains?
Remember the relation:
distance = speed*time.
First, if Sx is the speed of the train X and Sp is the speed of the train P, we know that:
Sx - 20 km/hr. = Sp
Then, we know that in the time T in which X travels 50 km, P travels 40km, we can write that as:
50km = Sx*T
40km = (Sx - 20km/hr)*T
So we have a system of equations.
Now we can solve this to find the speed Sx, to do it, we need to isolate T on one equation.
T = 50km/Sx.
Now we can replace that with the other equation:
40km = (Sx - 20km/hr)*50km/Sx.
Now we can solve this for Sx.
40km*Sx = (Sx - 20km/hr)*50km
40km*Sx = Sx*50km - 1,000 km^2/hr
40km*Sx - Sx*50km = -1,000 km^2/hr
-Sx*10km = -1,000 km^2/hr
Sx = (-1,000 km^2/hr)/(-10 km) = 100km/h
Now we want to know how long the train X takes to travel 500km, so we need to solve:
500km = 100km/h*T
500km/(100km/h) = 5h = T.
The train will travel 500km in 5 hours.
If you want to learn more about systems of equations, you can read:
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A Big Mac at McDonald’s costs $3.99. A 10pc. chicken nugget costs $4.49. How much would it cost if you bought (2) Big Mac’s and (2) 10pc chicken nuggets?
Answer: 16.96
Step-by-step explanation: 3.99 times 2 = 7.98 4.49 times 2 = 8.98
8.98 + 7.98 = 16.96
Answer my question and get points
How many solutions do two parallel lines have?
Parallel lines don't have any solutions since they never intersect
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
can use a lil help here please and thnx brainliest included
Provide two examples of a technology or product that have been devised to reduce the negative consequences of other technologies (for example, the ultrasonic emitters around wind turbines) that were NOT covered in the unit. The solution does not need to be high-tech; it may be a relatively simple design.
Answer:
Sound cap headphones protect hearing when you are using your cellphone, PC etc... Gas masks to protect you from gases like Mustard gas, smoke etc... I really want to lvl up so if you mark me brainly I would greatly appreciate it! :)According to the number line, what is the distance between points A and B?
A
B
SARE
+++
-16-14-12-10 -8 -6 -4 -2
02
4
6
8 10 12 14 16
O 6 units
O 7 units
O 12 units
0 14 units
Answer:
14 units
Step-by-step explanation:
i think you just need to minus it to get the distance between it
like :
=point B - point A
=12 - (-2)
=12 +2
=14
so it 14 units
According to the number line the distance between points A and B is 14 units.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the distance between points A and B.
The length along a line or line segment between two points on the line or line segment.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The point A is at -2
The point B is at 12 on the number line
AB=OB-OA
=12-(-2)
=12+2
=14 units.
Hence, According to the number line the distance between points A and B is 14 units.
To learn more on Number system click:
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pls answer asap need help
Answer:
See below
Step-by-step explanation:
(a) 4x - 22 = 74
(b) [tex] \dfrac{74 + 22}{4} [/tex]
(c) 24
Jia wishes to briskly walk 150 minutes per week. When briskly walking, Jia takes 100 steps per minute. Approximately how many briskly-walked steps should Jia take per day to achieve the 150 minutes weekly goal?
Group of answer choices
250
2,100
15,000
105,000
Answer:
15000
Step-by-step explanation:
150x100
15000
Melissa made $221 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:
$169 Is correct.
Step-by-step explanation:
We know that Melissa made $221 for 17 hours, so using this ratio, we can calculate how much she made for 13 hours as follows
13 hours× [tex]\frac{221}{17~hours} =[/tex] $169
Therefore, the answer is $169
What’s the answer to this ?
Answer:
It would be the first option 8x-8y=32
Given two parallel lines, same side interior angles are supplementary. Fill
in the blanks with the correct answers.
1. Vertical angles are
2. Same side exterior angles are
3. Alternate side interior angles are
4. Alternate side exterior angles are
5. Corresponding angles are
NO LINKS!!! Please help me with this problem. Part 14
Explanation:
The Law of Cosines can be used to write a quadratic in x. The desired form corresponds to its solution using the quadratic formula.
[tex]L^2=r^2 +x^2 -2rx\cdot\cos{\theta}\\\\x^2-2rx\cdot\cos{\theta}+(r^2-L^2)=0[/tex]
Using the quadratic formula gives the positive value of x as ...
[tex]x=\dfrac{-(-2r\cdot\cos{\theta})+\sqrt{(-2r\cdot\cos{\theta})^2-4(1)(r^2-L^2)}}{2(1)}\\\\\boxed{x=r\cos{\theta}+\sqrt{r^2\cos^2\theta+L^2-r^2}}[/tex]
Ms. York gave a math quiz to each of her two classes. The quiz scores of each class are shown below. Find the mean, median, and mode for the afternoon class. Using this information, which class do you think did better on the quiz? Explain How you got your answer.
Morning Class Quiz Scores Afternoon Class Quiz Scores
Quiz Score 91, 80, 75, 80, 60, 87, 80 80, 87, 90, 70, 93, 80, 85, 90
88, 90, 87, 92, 98 95, 80
Mean 84
Median 87
Mode 80
The mean score of the class is: 84.5
The median score of the class is: 87
The modal score of the class is: 84.5
What is the Mean, Median, and Mode of a Data?Mean = sum of all data points divided by the number of data points.
Median = the middle value of the ordered data.
Mode = the data point with the highest frequency or that appears the most.
Thus:
Arrange the data in ordered form:
60, 70, 75, 80, 80, 80, 80, 80, 80, 85, 87, 87, 87, 88, 90, 90, 90, 91, 92, 93, 95, 98
Mean = 1858/22
Mean = 84.5
Median = (87 + 87)/2 = 87
Mode = 80
Thus:
The mean score of the class is: 84.5
The median score of the class is: 87
The modal score of the class is: 84.5
Learn more about mean, median, and mode of a data on:
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My mom's friend bought cookbooks and travel books at a book sale. She spent $107 and bought 31 books. The cookbooks cost $2 apiece and the travel books cost $5 apiece. How many of each type of book did the friend buy?
MUST BE CORRECT OR ANSWER DELETED AND YOU WILL BE REPORTED.
Answer:
2
Step-by-step explanation:
$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books
cookbooks be x
travel books be y
x+y=31--(1)2x+5y=107--(2)(1)×2
2x+2y=62--(3)Subtract (3) from (1)
3y=45y=15Now
x=31-15x=16Rachel weighed her two cats, Tiger and Mittens. Tiger weighed 10.91 pounds, and Mittens weighed 178.08 ounces. Which cat is heavier, and how many pounds heavier is she?
a.
Tiger is 1.02 pounds heavier than Mittens.
b.
Tiger is 3.49 pounds heavier than Mittens.
c.
Mittens is 0.22 pounds heavier than Tiger.
d.
Mittens is 3.93 pounds heavier than Tiger.
ANSWER IS C
Answer:
answer is c
Step-by-step explanation:
178.08 oz = 11.13 lb
11.13-10.91 = 0.22 lb
Mittens is heavier than Tiger by 0.22 pounds.
What is mean by subtraction?Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.
Given that;
Rachel weighed her two cats, Tiger and Mittens.
Tiger weighed 10.91 pounds,
And, Mittens weighed 178.08 ounces.
Now, To compare the weights:
First, we convert the weights into ounces.
1 pound = 16 ounces.
Tiger weighed 10.91 pounds.
That means,
= 178.08 / 16
= 11.13 pounds.
And 11.13 > 10.91
Now, Subtracting the weights,
11.13 - 10.91 = 0.22 pounds
Therefore, Mittens is heavier by 0.22 pounds.
Learn more about the subtraction visit;
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Meaning of Constituted Authority
Answer:
ENGLISH:CONSTITUTED AUTHORITIES. Those powers which the constitution of each people has established to govern them, to cause their rights to be respected, and to maintain those of each of its members.SPANISH:AUTORIDADES CONSTITUIDAS. Los poderes que la constitución de cada pueblo ha establecido para regirlos, hacer respetar sus derechos y mantener los de cada uno de sus miembros.write an equation that represents each circle
the answers circle with circle with hat with circle
444444r54drtfjfftddtcghgcgvvvvbvgiygygvvvvuygyv8uu8yut
Answer:
l
Step-by-step explanation:
l
if you are wearing a black sweatshirt, what happens to most of the light that strikes it? (this is science but i cant find the science subject)
Answer:
The black colour will absorb the light.
rational expression,, please explain!
I understand mostly, but the subtraction sign throws me off...
Answer:
x = 2
Step-by-step explanation:
What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.
First, factor the denominator on the left side of the equation:
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]
Then, create a common denominator on the right:
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]
[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]
Put everything on one side:
[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]
[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]
[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]
[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]
set each term equal to zero:
x - 10 = 0
x = 10
x + 3 = 0
x = -3
x - 2 = 0
x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.
A sociologist was curious about how much smartphone access has changed for American teenagers. They obtained separate random samples of teenagers from
2017
20172017 and
2013
20132013. Here are their results:
Has access to smartphone?
2017
20172017
2013
20132013
Yes
450
450450
120
120120
No
150
150150
280
280280
Total
600
600600
400
400400
They want to use these results to construct a
95
%
95%95, percent confidence interval to estimate the difference in the proportion of teens each year who had access to a smartphone
(
p
2017
−
p
2013
)
(p
2017
−p
2013
)left parenthesis, p, start subscript, 2017, end subscript, minus, p, start subscript, 2013, end subscript, right parenthesis. Assume that all of the conditions for inference have been met.
Which of the following is a correct
95
%
95%95, percent confidence interval based on their data?
Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).
What is the mean and the standard error of the distribution of differences?In 2017, 450 out of 600 students had access, hence:
[tex]p_1 = \frac{450}{600} = 0.75, s_1 = \sqrt{\frac{0.75(0.25)}{600}} = 0.0177[/tex]
In 2013, 120 out of 400 students had access, hence:
[tex]p_2 = \frac{120}{400} = 0.3, s_2 = \sqrt{\frac{0.3(0.7)}{400}} = 0.0229[/tex]
For the distribution of differences, we have that the mean and the standard error are, respectively, given by:
[tex]p = p_1 - p_2 = 0.75 - 0.3 = 0.45[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0177^2 + 0.0229^2} = 0.0289[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then:
[tex]p - zs = 0.45 - 1.96(0.0289) = 0.393[/tex]
[tex]p + zs = 0.45 + 1.96(0.0289) = 0.507[/tex]
The 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Answer:
0.45+-0.057
Step-by-step explanation:
whats the solution to
3/4 x8 1/2=
Answer:
3
Step-by-step explanation:
Please look at the picture and answer it thank you.
Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
Thus, 23 + 5x - 18 + 90 = 180.Step 1: Simplify both sides of the equation.
[tex](5x)+(23+90-18)=180[/tex] [tex]5x+95=180[/tex]Step 2: Subtract 95 from both sides.
[tex]5x+95-95=180-95[/tex] [tex]5x=85[/tex]Step 3: Divide both sides by 5.
[tex]5x/5=85/5[/tex][tex]x=17[/tex]Step 4: Check if solution is correct.
[tex](5*17-18)+23+90=180[/tex] [tex]67+23+90=180[/tex] [tex]180=180[/tex]Thus, x = 17.
Explain why the initial value of any function of the form
f(x) = a(bº) is equal to a.
can someone pls answer both of these ?'s i WILL mark BRAILIEST
If the answer is 5 why isn't 5 an option?
Answer:
because they made a mistake
he volume of this cube is 216 cubic yards. What is the value of d?
Answer:
do the cube root of 216
the answer is 6
because 6 * 6 * 6= 216