Answer:
8575 joules
Step-by-step explanation:
We have that the volume is given as follows:
v = 7 * 1 * delta x
v = 7 * delta x
we know that the density: mass / volume
therefore the mass is:
mass = volume * density
replacing:
mass = 7 * delta x * 1000
mass = 7000 * delta x [kg]
now we know that force equals mass * acceleration:
F = 7000 * delta x * 9.8 m / s ^ 2
F = 68600 * delta x [N]
Now, we multiply by x meters, to calculate the work:
W = F * x
W = 68600 * delta x * x
W = 68600 * delta x [J]
We know that the portion of the chian x to x + delta x to be the following
limit when n tends to infinity of the sum of i = 1 up to n = infinity of 68600 * xi * delta x
therefore, the total work done to pump half of the water out of the aquarium is:
To the integral of 68600 * x * dx from 0 to 1/2, applying the integral we have:
68600 * x ^ 2/2 [x = 0 to x = 1/2]
68600 * ((1/2) ^ 2) / 2 - 68600 * (0 ^ 2) / 2 = 8575
That is to say that the work is 8575 joules
Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.
(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) Solve your equation for Y(s). Y(s)=L{y(t)}=
Answer:
The solution
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]
Step-by-step explanation:
Explanation:-
Consider the initial value problem y′+3 y=9 t,y(0)=7
Step(i):-
Given differential problem
y′+3 y=9 t
Take the Laplace transform of both sides of the differential equation
L( y′+3 y) = L(9 t)
Using Formula Transform of derivatives
L(y¹(t)) = s y⁻(s)-y(0)
By using Laplace transform formula
[tex]L(t) = \frac{1}{S^{2} }[/tex]
Step(ii):-
Given
L( y′(t)) + 3 L (y(t)) = 9 L( t)
[tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
[tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
Taking common y⁻(s) and simplification, we get
[tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
Step(iii):-
By using partial fractions , we get
[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]
[tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]
On simplification we get
9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Put s =0 in equation(i)
9 = B(0+3)
B = 9/3 = 3
Put s = -3 in equation(i)
9 = C(-3)²
C = 1
Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Comparing 'S²' coefficient on both sides, we get
9 = A s²+3 A s +B(s)+3 B +C(s²)
0 = A + C
put C=1 , becomes A = -1
[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]
Step(iv):-
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]
Applying inverse Laplace transform on both sides
[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]
By using inverse Laplace transform
[tex]L^{-1} (\frac{1}{s} ) =1[/tex]
[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]
[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]
Final answer:-
Now the solution , we get
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t Subscript alpha divided by 2, (b) find the critical value z Subscript alpha divided by 2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 95%, sigma is not known, and the histogram of 60 player salaries (in thousands of dollars) of football players on a team is as shown.
Answer:
Neither the normal distribution nor the t distribution applies.
Step-by-step explanation:
Hello!
The histogram attached shows the salary (in dollars) of 63 football players.
As you can see most of the values of this distribution are around 0 and the distribution is extremely asymmetrical (right skewed).
To apply a t-test to study the population average the population has to have a normal distribution.
The same goes for the standard normal distribution, but in this case, considering that the sample is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n), but since the population variance is unknown, this is also not applicable.
The correct choice is the last one, since the conditions to apply the t test and the standard normal are not met.
I hope this helps!
A bag contains 1 red, 1 yellow, 1 blue, 1 green marbles. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble
Answer:
you have a 25% chance of picking any marbel
Step-by-step explanation:
you have 4 marbels and each is worth 25.
Answer:
Choosing green marble: 1/4
Choosing Red marble: 1/3
Step-by-step explanation:
The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3
Question 4:
Nathan has three quarters, two nickels, and eleven pennies. How much money does he have?
Answer:
96Step-by-step explanation:
quarters = 25 cents so 3 quarters is 75
nickels= 5 cents so 10
pennies= 11
11+10+75
Answer:
96¢
Step-by-step explanation:
25+25+25=75
75+5+5=85
85+1+1+1+1+1+1+1+1+1+1+1=96
Therefore Nathan has 96¢
Hope that helps! If you have any further questions comment down below or message me! Good luck!
Find the area of the quadrilateral SHOW WORK
Answer:
area of parallelogram= length of base × perpendicular height
8.7×4.9
= 42.63mm²
Josh types the 5 entries in the works cited page of his term paper in random order, forgetting that they should be in alphabetical order by author. What is the probability that he actually typed them in alphabetical order?
Answer:
0.83% probability that he actually typed them in alphabetical order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The number of ways in which n terms can be arranged is given by:
[tex]A_{n} = n![/tex]
Desired outcomes:
Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].
Total outcomes:
We want to arrange 5 entries. So
[tex]T = A_{5} = 5! = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = 0.0083[/tex]
0.83% probability that he actually typed them in alphabetical order.
Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.
What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.
Answer:
3.125%Step-by-step explanation:
It is assumed the first winner is part of the second drawing as well
There are 4 people and two prizes
The probability of each person to win is 1/4
The first winner has 1/2 probability to get a mug
P(win and a mug) = 1/4*1/2 = 1/8 for AngThe second winner, if it is Jack, gets either prize
P(win and either prize) = 1/4The combined probability is:
1/8*1/4 = 1/32 = 0.03125 = 3.125%Answer:
The probability is 37.5%
Step-by-step explanation:
There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.
So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.
Also, “The monks named me aOng.”
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
LOOK AT MY RECENT GIVING 100 POINTS
Answer:
ok
Step-by-step explanation:
Answer:
As you say
Step-by-step explanation:
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
Solve for e.
9e + 4 = -5e + 14 + 13e
Answer:
e = 10
Step-by-step explanation:
In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.
9e + 4 = -5e + 14 + 13e
We can do this multiple ways, but I will show you how I would do it.
First I would subtract 4 from both sides.
9e + 4 = -5e + 14 + 13e
9e = -5e + 14 + 13e - 4
We can simplify the right side of the equation down by subtracting four from 14.
9e = -5e + 10 + 13e
Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)
-5e + 13e = 8e
9e = 8e + 10
Now we subtract algebraic expression 8e from both sides
9e - 8e = 10
All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.
9e - 8e = 10
1e = 10
or
e = 10
We have isolated e! Our final answer is e = 10
of the total 1,034,884 people infected in the us if 641,628 caucasians are infected write the percent it represents in the united states round to the nearest whole number
Answer:
62%
Step-by-step explanation:
The proportion of those infected who are caucasian is is the number of caucasians infected divided by the total number of infected.
The percentage is the proportion multiplied by 100.
We have that:
641,628 caucasians
1,034,884 people infected
641,628/1,034,884 = 0.62
0.62*100 = 62%
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. (x + 8) (x + 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:
[tex]x^2 + 15x + 56[/tex]
[tex]x^2 + 7x + 8x + 56[/tex]
Group:
[tex](x^2 + 7x) (8x + 56)[/tex]
Take out the GCF (Greatest Common Factor):
x(x + 7) 8(x + 7)
(x + 8) (x + 7)
3 2/3+2.3 repeating
Answer:
6.
Step-by-step explanation:
2.3 repeating = 2 1/3
So 3 2/3 + 2 1/3
= 5 + 1
= 6.
Answer: 6
Step-by-step explanation:
[tex]3\frac{2}{3}+2.3^-[/tex]
Let's begin by converting the repeating decimal to a fraction and then to a mixed number.
Take the number:
[tex]2.3^-[/tex]
Let x (our result) be equal to that number.
[tex]x=2.3^-[/tex]
Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.
[tex]10x=2.3^-*10[/tex]
This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.
[tex]10x=23.3^-[/tex]
Subtract this and the original equation ([tex]x=2.3^-[/tex])
[tex]10x=23.3^-\\-x=2.3^-[/tex]
-----------------
10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21
[tex]9x=21[/tex]
Divide by 9
[tex]x=\frac{21}{9}[/tex]
Simplify by 3.
21/3=7
9/3=3
[tex]x=\frac{7}{3}[/tex]
Now, convert to a mixed number. To do this, divide.
7/3=2
6
-------
1
The 2 is the whole number, 1 is the numerator and 3 the denominator.
[tex]2\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------
Now we can solve this;
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Add the whole numbers and the fractions separately.
[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]
[tex]5\frac{3}{3}[/tex]
3 and 3 can be simplied.
3/3=1
3/3=1
[tex]5\frac{1}{1}[/tex]
The result is 1, add this to the 5.
[tex]5+1=6[/tex]
Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.)
A number line going from 0 to 10. An open circle is at 5. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 5. Everything to the right of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the left of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the right of the circle is shaded.
Answer:
it is d
Step-by-step explanation:
idk just brainlyest
Answer:
D...............
Step-by-step explanation:
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
Sample Size Mean GPA Standard Deviation
Students Who
Are Employed 172 3.22 0.475
Students Who
Are Not Employed 116 3.33 0.524
t =
df =
P =
Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05.
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed
The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 3.22
μ2 = 3.33
s1 = 0.475
s2 = 0.524
n1 = 172
n2 = 116
t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)
t = - 1.81
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878
df = 230
We would determine the probability value from the t test calculator. It becomes
p value = 0.036
Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.
Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\circ84 ∘ 84, degrees. The measure of \stackrel{\LARGE{\frown}}{GH} GH ⌢ G, H, start superscript, \frown, end superscript is 76^\circ76 ∘ 76, degrees. What is the measure of \angle HKJ∠HKJangle, H, K, J?
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
Every hour the number of users of a new smartphone app increases by 18 percent. At 1:00 p.m., there were 12,322 users. What exponential equation shows the number of users' x hours after 1:00 p.m.?
Answer:
B
Step-by-step explanation:
Y is the starting point so it would be y=12322 and it becomes 1.18 because you add 100 to 18
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ. Option A is correct.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The number of users of a new smartphone app increases by % = 18
a is the number of users at 1:00 p.m = 12,322
The exponential equation shows the number of users x hours after 1:00 p.m. is;
y=a(z)ˣ
Where,
a is the initial value
z is the percentage increment
y is the number of users after the given period
If the initial value of the percentage is 100.The value after the given time;
z = 100 + 18
z = 118
The z in the percentage form is 1.18.
The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ.
Hence, option A is correct.
To learn more about percentages, refer to:
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Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface area of the ramp?
A triangular prism. The base has a length of 8 feet and height of 4 feet. A rectangular side has a base of 8 feet and height of 5 feet. Another rectangular side has a base of 8 feet and height of 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
68 square feet
96 square feet
108 square feet
114 square feet
Answer:
108 square feet
Step-by-step explanation:
When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.
So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.
Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:
A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet
Answer:
its C
Step-by-step explanation:
BRAINLIEST to whoever gets this correct! Factor the expression below.
16x^2-1
A. (2x - 1)(8x - 1)
B. (4x - 1)(4x-1)
C. (2x - 1)(8x+1)
D. (4x - 1)(4x+1)
Answer:
D. (4x - 1)(4x + 1)
Step-by-step explanation:
16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:
(4x + 1) (4x - 1)
plzz help its timed ill give brainliest
Can u guys help me plz!!!
Answer:
1 is B
2 is B
3 is D
4 is C
Step-by-step explanation:
Dont care enough to explain all of them
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
The reciprocal of the divisor is 4 3 Rewrite the division problem as multiplication ,What is the quotient?
Answer:
Rewrite the division problem as -9/2 (4,3)
the quotient: -6
Step-by-step explanation:
Which two whole numbers is √20 between?
Answer:4 and 5
Step-by-step explanation:
√(20) is approximately 4.5 so it is between 4 and 5
A bag contains 5 quarters 2 dimes and 4 pennies what is probability Of picking a dime
Answer: 5/11
Step-by-step explanation:
The probability of picking a dime is [tex]\frac{2}{11}[/tex].
What is probability?The measure of happening or non-happening of the outcomes of a random experiment is called probability.
Probability formulaP(E) = Number of favorable outcomes/ total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of quarters coins = 5
Total number of dimes coins = 2
Total number of pennies coins = 4
Therefore,
The total number of coins in a bag = 5 + 4 + 2 = 11
⇒ Total number of outcomes = 11
So, the probability of picking a dime coin is given by
P(E) = total number of dime coins/ total number of coins in a bag
⇒[tex]P(E) = \frac{2}{11}[/tex]
Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].
Find out more information about probability here:
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