Answer:x=6
Step-by-step explanation:
(q59) Evaluate the integral
The value of the integral ∫√x/(x - 4) dx from 9 to 16 is 3.022
How to evaluate the integralFrom the question, we have the following parameters that can be used in our computation:
∫√x/(x - 4) dx from 9 to 16
The above expression can be integrated using integration by parts method
When integrated, we have
∫√x/(x - 4) dx = 2(√x - ln(√x + 2) + ln(|√x - 2|))
Recall that the x values are from 9 to 16
This means that
∫√x/(x - 4) dx = 2(√16 - ln(√16 + 2) + ln(|√16 - 2|)) - 2(√9 - ln(√9 + 2) + ln(|√9 - 2|))
So, we have
∫√x/(x - 4) dx = 2(4 - ln(4 + 2) + ln(|4 - 2|)) - 2(3 - ln(3 + 2) + ln(|3 - 2|))
Solving further, we get
∫√x/(x - 4) dx = 2(4 - ln(6) + ln(2)) - 2(3 - ln(5) + ln(1))
Evaluate
∫√x/(x - 4) dx = 3.022
Hence, the value of the integral is 3.022
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please help, im so confused
Answer:
-4,-3,-2,-1,0,1,2 are less than -5 and everything else is greater :)
Answer:
\(-7, -6,\) and \(-5\).
Step-by-step explanation:
The question asks for all numbers that are "no more than" -5. In other words, it is asking for every number listed that is less than or equal to -5. Of the numbers given, only -7, -6, and -5 fit that description.
The graph of g(x) = x^2+2 is a translation of the
graph of f(x) ___by ___units.
Answer:
Step-by-step explanation:
The graph of g(x) = x^2+2 is the upward translation of the
graph of f(x) = x^2 by 2 units.
Based on the 2017 American Community Survey, the proportion of the California population aged 15 years old or older who are married is p = 0.482. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons (p) is to be calculated. What is the probability that more than 50% of the people in the sample are married? Round your answer to three decimal places.
Therefore, the probability that more than 50% of the people in the sample are married is approximately 0.115 (rounded to three decimal places).
To solve this problem, we can use the normal approximation to the binomial distribution since the sample size is large (n = 1000) and the proportion of married persons (p) is not too close to 0 or 1.
The mean of the sample proportion can be calculated as:
μ = p = 0.482
The standard deviation of the sample proportion can be calculated as:
σ = sqrt((p * (1 - p)) / n) = sqrt((0.482 * (1 - 0.482)) / 1000) ≈ 0.015
To find the probability that more than 50% of the people in the sample are married, we need to calculate the z-score and find the area under the normal curve to the right of this z-score.
The z-score can be calculated as:
z = (x - μ) / σ = (0.5 - 0.482) / 0.015 ≈ 1.200
Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1.200 is approximately 0.1151.
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write a problem that represents "7+-7"
Answer:
The fish jumped 7 inches from the sea then fell 7 inches down.
Step-by-step explanation:
Answer:
7-7
Step-by-step explanation:
7 adding a negative number means it is subtracting because you are taking away from the 7.
Use the drop down menus to represent the solution to the system of the two linear equations shown on the graph. The solution of equation is... (?,?)
Answer:
Step-by-step explanation:
(4, -3)
HELP PLS QUICKLY YOU WILL GET 34 POINTS IF DO:)
Step-by-step explanation:
Let the missing integer be x
x - 3 = - 2
x = 3 - 2
x = 1
Therefore the missing integer is 1
Is a rectangle a similar polygon?
For instance, a rectangle is a four-sided polygon that only has equal opposed sides but equal-sized angles. It is therefore an irregular polygon.
Equilateral (all sides are the same length) and equiangularity are requirements for a regular polygon (all angles of the same measure). Rectangles have equal angles. It cannot ever be regular since none of its sides can ever be the same length.
It is a regular quadrilateral as well.
due to the same length of its sides and angles. Like a rectangle, a square has four angles that are 90 degrees. It can also be visualized as a rectangle with equal lengths on its two adjacent edges.
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The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).
The distance from the earth to venus is an illustration of the sine ratio
The distance from the earth to venus at that time is 1.12 au
How to determine the possibe distance?See attachment for the diagram that illustrates the complete question.
Start by calculating the angle V using the following sine ratio
SE/sin(V) = VS/sin(E)
This gives
1/sin(V) = 0.723/sin(39.4)
Take the inverse of both sides
sin(V)/1 = sin(39.4)/0.723
Evaluate the quotient
sin(V) = 0.8779
Take the arcsin of both sides
V = 61.4
Calculate the measure of angle S
<S + <V + <E = 180
This gives
<S = - <V - <E + 180
Substitute known values
<S = -61.4 - 39.4 + 180
<S = 79.2
The distance (VE) is then calculated using the following sine ratio
VE/sin(S) = VS/sin(E)
This gives
VE/sin(79.2) = 0.723/sin(39.4)
Multiply bot sides by sin(79.2)
VE = sin(79.2) * 0.723/sin(39.4)
Evaluate the product
VE = 1.12
Hence, the distance from the earth to venus at that time is 1.12 au
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Quick please!
A sphere has a diameter of 13 centimeters. Find the volume of the sphere. Round your answers to the nearest tenth if necessary
Answer: 1,150.4 centimeters³
Step-by-step explanation:
We will plug 6.5 into the correct formula to solve. Why 6.5? If 13 is the diameter, and the radius is half the diameter, 13 / 2 = 6.5
-> Please note in my LaTeX, "(pi)" = π ≈ 3.14
V = \(\frac{4}{3} (pi)r^{3}\)
V = \(\frac{4}{3} (pi)(6.5)^{3}\)
V ≈ 1,150.35
V ≈ 1,150.4 centimeters³
Find the area of the parallelogram with the given vertices. k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), n(6, 7, 3).
The area of the parallelogram is \(\sqrt{132}\).
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Given that,
vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)
Area of Parallelogram = |KL × KN|
KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)
KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)
Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.
Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|
= |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|
= |i(-10) - j(-4) + k(-4)|
= |-10i + 4j - 4k|
= \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)
= \(\sqrt{100+16+16}\)
= \(\sqrt{132}\)
Hence, The area of the parallelogram is \(\sqrt{132}\).
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10. In the first circle below write the last letter of the first word beginning with "L".
00000
11. Cross out the number necessary, when making the number below one million.
10000000000
12. Draw a line from circle 2 to circle 5 that will pass below circle 2 and above circle 4.
00000
13. In the line below cross out each number that is more than 20 but less than 30.
31 16 48 29 53 47 22 37 98 26 20 25
The final answers are given below
\(10.\)L
\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)
\(00000\)
\(12\) | |
\(00000\)
|
\(00000\)
\(15. 31 16 48 29 53 47 22 37 98 26 2025\)
What do you mean by number?A number is an arithmetic value that is used to calculate and represent a quantity.
The numbers that are more than \(20\) but less than \(30\) are \(22\) and \(26\), so they should be crossed out:
\(31 16 48 29 53 47\) X \(37 98\) X \(2025\)
Therefore the answers are given below.
\(10.\)L
\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)
\(00000\)
\(12\) | |
\(00000\)
|
\(00000\)
\(15. 31 16 48 29 53 47 22 37 98 26 2025\)
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I don’t understand
My teacher never showed us how to workout these problems so can y’all please SHOW WORK so I can do on the following questions coming up ty <3 (algebra 1)
Answer:
Step-by-step explanation:
The area of a parallelogram is base times height.
In this case it would be:
(3x +1) (5x-4)
Then multiply to simplify.
Use FOIL
15x² - 12x + 5x - 4
Simplify again
15x² - 7x - 4
Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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substitution. y = x − 35 y=-4x
Answer:
(7, - 28 )
Step-by-step explanation:
y = x - 35 → (1)
y = - 4x → (2)
substitute y = x - 35 into (2)
x - 35 = - 4x ( add 4x to both sides )\
5x - 35 = 0 ( add 35 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
substitute x = 7 into either of the 2 equations
substituting into (1)
y = 7 - 35 = - 28
solution is (7, - 28 )
If y varies directly as x, and y is 12 when x is 1. 2, what is the constant of variation for this relation?.
Answer:
24 or 10
Step-by-step explanation:
unluckily, when you copied the text you did not paste well the value of x, but I assume it is 1.2 or 1/2
for the first value, the K (costant of variation) is 24, while for the second is 10, as the photo explains
Convert 25cm to inches. Round to the hundredths place.
1 inch =2.54cm
Answer:
Step-by-step explanation: By multiplying 25 cm by the 2.5 cm per inch conversion factor, we can convert 25 cm to inches.
25 cm/2.5 cm per inch = 10 inches
Rounding to hundredths place, we get: 10 inches = 10.00 inches
30 kilograms of beans cost $5 how many beans can you buy for $1
Answer:
6kg
Step-by-step explanation:
5 to 30 ratio
1 to 6 ratio
Answer:
30/5=6
6 kg beans for $1
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The table shows some information about the five great Lakes of North America
Answer:
add me on snap kingmadness7062
Step-by-step explanation:
Total surface area of all the lakes combined is 24.5×10¹⁰
What is the Total Surface Area?Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.
Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.
Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰
=24.5 ×10¹⁰
Hence, total surface area of all the lakes combined is 24.5×10¹⁰
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What is the MEAN of the data set below?(0.2,0.8,0.4,0.3,0.4,0.4,0.4,0.8,1.3)
Answer:
5/9
Step-by-step explanation:
we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9
Please❤️!!!!!!!!!!!!!
Answer: Hopeful (C) or Happy (D)
Step-by-step explanation:
It's saying a women walked into the room with joy as she's telling her plans.
Hopeful means feeling or inspriring optimism about a futer event.
Happy means feeling pleasure or cheerful.
Lana has 4 bags of apples. Each bag has 9 apples. She puts an equal number of apples on each of 6 plates.
Let n be the number of apples on each plate.
What equation can be used to find n?
a farmer had 23 acres he wanted to split amongst his 8 children. if each child gets the same amount of land, how much should each one get? between what two whole numbers does your answer lie?
Answer:
23÷8=2.875
Step-by-step explanation:
You take twenty three divide by eight .That will give you the answer
Determine the values of A, B, and C when y – 7=3(x−4) is written in standard form, Ax+By=C.
Answer:
Step-by-step explanation:
rearrange this equation y – 7=3(x−4) into this Ax+By = C
its pretty simple if you think about it :)
firstly, lets multiply the 3 with x - 4
y - 7 = 3x -12
we are going to bring the 3x to the right side to make the arrangement possible
-3x - y = -5 (minus twelve plus seven)
therefore, A is -3, B is -1 and C is -5
2 pythagorean theorem
the answer for X is A) 5m.
Find the Surface Area of the triangular Prism below:
Answer:
≈ 12,78 m^2
Step-by-step explanation:
The surface area is equal to the sum of the areas of all the sides
This figure has sides of 2 triangles (bases) and 3 rectangles (lateral surface)
h (triangle) = 1m
We can find the base of the triangle by using the Pythagorean theorem (multiply by 2, because the triangle's base contains two of these identicals sides)
\((( {1.5})^{2} - {1}^{2} ) \times 2=( 2.25 - 1 ) \times 2= 1.25 \times 2 = 2.5> 0\)
The triangle's base is equal to:
\( \sqrt{2.5} = \frac{ \sqrt{10} }{2} \)
First, let's find the area of 2 bases (triangles):
\(a(bases) = 2 \times \frac{1}{2} \times 1 \times \frac{ \sqrt{10} }{2} = \frac{ \sqrt{10} }{2} \)
Now, we can find the whole surface area by adding the areas of the rectangles to the bases' areas:
\(a(surface) = \frac{ \sqrt{10} }{2} + 2.4 \times 2 + 1.5 \times 2 + 1.7 \times 2 = \frac{ \sqrt{10} }{2} + \frac{56}{5} ≈12.78\)
Twelve people are
able to ride the Serpent of Fire roller
coaster at one time. Write a function
table that shows the total number of
people that have been on the roller
coaster after 1, 2, 3, and 4 rides.
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
\(5x + y = 11\) \(.......... (i)\)
\(3x - y = 9\) \(...........(ii)\)
To solve we will multiply equation \((i)\) by \(3\) and equation \((ii)\) by \(5\),
\(15x + 3y = 33\) \(..........(iii)\)
\(15x -5y = 45\) \(..........(iv)\)
Now, adding both equations \((iii)\) and \((iv)\) ,
We get,
\(8y=-12\)
\(y=-\frac{3}{2} =1.5\)
Now putting value of \(y=-\frac{3}{2} =1.5\) in equation \((i)\) ,
\(5x+(\frac{-3}{2} )=11\)
\(x=\frac{5}{2} =2.5\)
So, using the elimination method we find out the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\), which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).
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find the orthogonal decomposition of v with respect to w. v = 3 −3 , w = span 1 4
The orthogonal decomposition of `v` with respect to `w` is given by`v = proj_w(v) + v_ortho``v = <-0.5294, -2.1176> + <3.5294, 1.1176>``v = <3, -3>`
Given vectors `v = (3, -3)` and `w = span(1, 4)`.
To find the orthogonal decomposition of v with respect to w, we need to find two vectors - one in the direction of w and another in the direction orthogonal to w. Therefore, let's first find the direction of w.To get the direction of w, we can use any scalar multiple of the vector `w`.
Thus, let's take `w_1 = 1` such that `w = <1, 4>`.Now we need to find the projection of v onto w. The projection of v onto w is given by`(v . w / |w|^2) * w`
Here, `.` represents the dot product of vectors and `|w|^2` is the squared magnitude of w.`|w|^2 = 1^2 + 4^2 = 17` and `v . w = (3)(1) + (-3)(4) = -9`.
Therefore, the projection of v onto w is given by`proj_w(v) = (-9 / 17) * <1, 4> = <-0.5294, -2.1176>`We can check that `proj_w(v)` is in the direction of `w` by computing the dot product of `proj_w(v)` and `w`.`proj_w(v) . w = (-0.5294)(1) + (-2.1176)(4) = -9`.
Thus, the vector `proj_w(v)` is indeed in the direction of `w`.Now, we need to find the vector in the direction orthogonal to w. Let's call this vector `v_ortho`.
Thus,`v_ortho = v - proj_w(v) = <3, -3> - <-0.5294, -2.1176> = <3.5294, 1.1176>`
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help again i need help
Answer:
2.25
Step-by-step explanation:
32 divided by 14 2/9
can I please have brainiest