Evaluate ∫
4 lnx2 1x
dx by using the following methods.
(a) Direct integration (b) Trapezoidal rule
(c) Simpson’s rule

Answer:

a) (4,16)

Step-by-step explanation:

I believe it's this one. I have the same exact question :))

The proportions that can be used to find QR in the similar triangles are:

AB/PQ = BC/QR

5/10 = 3/QR

Sides of triangles that are similar usually have lengths that are proportional to each other.

Given that triangles ABC and PQR are similar to each other, their side lengths will be proportional, therefore:

AB/PQ = BC/QR = AC/PR.

Plugging in the given values from the image, we have:

5/10 = 3/QR

Therefore, the proportions we can use are:

AB/PQ = BC/QR

5/10 = 3/QR

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If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00

In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.

Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.

It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.

Since the given inequality is;

( 29 / 289z ) < ( 16 / 161 ) z

By cross multiplication; we have;

161 × 29 < ( 16z × 289z )

( 161 × 29 ) / ( 16 × 289 ) < z²

1.00973183 < z²

Therefore;

1.00485413 < z. OR. -1.00485413 > z.

Ultimately, z < - 1.00485413 OR z > 1.00485413.

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Answer:

44

Step-by-step explanation:

5 1/2 = 11/2 = 44/8

Subtract 1/8 from 44/8 until you finish the number all.

Answer:

45 degrees

Step-by-step explanation:

I used a protractor

Answer:

45/58.4

Step-by-step explanation:

Answer: part 1: 45/54.8.

Part 2: 55.2

Step-by-step explanation:

Edge

To find the points on the hyperboloid x^2 + 4y^2 - z^2 = 1 where the tangent plane is parallel to the plane x + 4y - z = 0, we need to compare the gradients (normal vectors) of both planes.

First, find the gradient of the given plane x + 4y - z = 0 by taking the coefficients of x, y, and z. The gradient (normal vector) is (1, 4, -1).

Now, we need to find the gradient of the tangent plane to the hyperboloid. To do this, we'll calculate the gradient of the hyperboloid equation and set it equal to the gradient of the given plane:
∇(x^2 + 4y^2 - z^2) = (2x, 8y, -2z)

Since the gradients are parallel, we have:
2x = 1 (the x component)
8y = 4 (the y component)
-2z = -1 (the z component)

Solving these equations, we get two sets of points (x, y, z) due to the symmetry of the hyperboloid:
(x, y, z) = (1/2, 1/2, 1/2) (smaller x-value)
(x, y, z) = (-1/2, -1/2, -1/2) (larger x-value)

These are the points on the hyperboloid where the tangent planes are parallel to the given plane x + 4y - z = 0.

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Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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Answer:

10. x=3 and y=0

11. Infinitely many solutions.

12. No solutions.

13. x=3/2 and y=-12

14. Infinitely many solutions

15. x=0 and y=−2

Step-by-step explanation:

I just solved them by solving the top part first then the bottom part, I can not put in the actual steps because it takes up way to much space

Answer:

2k = 90°

k = 45 °

Step-by-step explanation:

sum of angles in a triangle = 180°

2k + k + 45° = 180°

3k = 135°

k = 45°

2k = 90°

Answer:

AABC=76.9067 m2C=2:3:4.=234.76

Answer:

There was profit of $17 think

Step-by-step explanation:

25+16=41

14+10=24

41-24=17

They took down the other question so we're gonna come here ok

Answer:

y=-7

Step-by-step explanation:

just simplify it

4+y=-3

y=-3-4

y=-7

Answer: x^2 (x+1) (4x-9)

Step-by-step explanation:

We can test the equation above x^2 (x+1) (4x-9) to see if it is true or not by rewriting it

x^2 ( 4x^2 -9x +4x -9)

x^2 (4x^2 - 5x -9)

4x^4 - 5x^3 - 9x^2

So x^2 (x+1) (4x-9) is the correct answer for this equation!

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Answer:

It costs $0.49 for each avocado and $0.36 for each tomato.

Step-by-step explanation:

This is a system of equations problem.

Let x represent the avocados and y represent tomatoes:

4x + 5y = 3.76  <--- scenario 1

6x + 3y = 4.02 <---- scenario 2

If we graph these out on a graphing calculator, the lines will intersept at point (0.49,0.36)

The x coordinate represents how much it costs for each avacado and the y coordinate represents how much it costs for each tomato

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 1500}}{\left( \cfrac{20}{100} \right)1500}\implies 300~\hfill \stackrel{\textit{cost of the book on sale}}{1500-300\implies 1200}\)

Answer:

28

Step-by-step explanation:

x - 5 = 34, meaning 39 = x

34 + 34 = 68

All triangles add up to 180

180 - 68 = 112

112/4 = 28

Answer:

Step-by-step explanation:

2.2 kg = 2200 g

Each batch yields 14 pancakes.

2200 g × (1 batch)/(275 g) × (14 pancakes)/batch = 112 pancakes

Answer:

d

Step-by-step explanation:answer is d on edg

The rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station is 317.5 mi/h.

A rate in which a certain number of units of the first quantity are compared to one unit of the second quantity is not the same as a unit rate. In other words, we may state that the comparison's second amount is always 1.

Thus, P denotes the plane's location, R denotes the radar's location, and V denotes the point that is vertical to the radar and at the plane's height.

Assume that h is the height of the plane, s is the separation from the radar, and x is the separation from point V.

The plane travels at 480 miles per hour and has a 3 mile height. Ds-480 miles per hour.

dt By Pythagorean theorem,

x² = h² + s²

x² = 3²+s²

x² = 9 + s²

Differentiate implicitly with respect to t.

2x dx/dt = 2s ds/dt + 0

x dx/dt = s ds/dt

Use (1)

dx/dt = \(\frac{dx}{dt} =\frac{\sqrt{x^2-9} }{x}\)

= √7/4 x 480

= 120√7

≈ 317.49

Hence, the distance increasing at the rate of dx/dt is 317.5 mi/h.

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The lengths JL and PM are the lengths that make up the triangle JMP

The side length JL is twice the side length PN.

So, we have:

JL = 2 * PN

This gives

JL = 2 * 39

JL = 78

Hence, the length of JL is 78 units

The side length PM is half the side length KL.

So, we have:

PM = 0.5 * KL

This gives

PM = 0.5 * 95

PM = 47.5

Hence, the length of PM is 47.5 units

The angle MLK is congruent to the angle JMP.

So, we have:

MLK = JMP

This gives

MLK = 105 degrees

Hence, the measure of angle MLK is 105 degrees

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The two good models for the bag of marbles are 5 red, 5 blue, 5 yellow, 5 green and 3 red, 3 purple, 3 orange, 3 green. These models have a similar distribution of colors to the observed outcomes of Shonda's experiment, which had 3 red marbles out of 12 trials.

The first model, 5 red, 5 blue, 5 yellow, 5 green, has an equal number of each color, which makes it a good model for the bag of marbles since Shonda's experiment did not show a clear preference for any particular color. The second model, 3 red, 3 purple, 3 orange, 3 green, also has an equal Unit of each color, and it is a good model because it has the same number of red marbles as Shonda's experiment.

Other models, such as 3 red, 6 blue, 6 yellow and 3 red, 12 blue, 3 yellow, 1 green, have a different distribution of colors than Shonda's experiment, which makes them less likely to be good models for the bag of marbles. The first model has more blue and yellow marbles than red, while the second model has very few red marbles compared to the other colors. These differences in color distribution make them less likely to accurately represent the bag of marbles that Shonda used in her experiment.

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d).  A ball with radius r, lying inside a glass described by the function y = x^2, has its center at (0, F(r)) units above the bottom of the glass. f(2) - f(1/4)=4.

To solve this problem, we first need to find the function F(r). We can do this by finding the y-coordinate of the center of the ball when its radius is r.

Since the ball lies inside the glass described by the function y = x2, the y-coordinate of the center of the ball when its radius is r is equal to the y-coordinate of the point (r,r2).

Thus, the function F(r) is given by F(r) = r2. Now, we can calculate f(2) - f(1/4) = F(2) - F(1/4) = 22 - (1/4)2 = 4 - 1/16 = 4 - 0.0625 = 3.9375 ≈ 2. Therefore, f(2) - f(1/4) = 2.

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Answer:

The answer is 72%

Step-by-step explanation:

54 out of 75 is a percentage of 72%.

\(\frac{54}{75} = 72\)

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Answer:

The cost for 1 adult is $27.00 and the cost for 1 child is $11.00.

Step-by-step explanation:

Let c = the cost of a child

Let a = the cost of an adult

5a + 3c = 135  → multiply by -2 →   -10a -6c = -270

3a + 2c = 81  → Multiply by 3 →     (+) 9a + 6c = 243

                                                            -a         = -27

                                                              a         = 27

The cost per adult is $27.00.

Substitute 27 into either of the original equations for a to solve for c.

3a + 2c = 81

3a + 2(27) = 81

3a + 54 = 81  Subtract 54 from both sides

3a = 33  Divide both sides by 3

a = 11

The cost per child is $11.00.

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The instantaneous rate of change of the area A  is A) 120π m. To find the instantaneous rate of change of the area A of the circular oil spill with respect to its radius r, we need to use the formula for the area of a circle and differentiate it with respect to r.

1. The formula for the area of a circle is A = πr^2.
2. Differentiate the formula with respect to r: dA/dr = 2πr.
3. Now, plug in r = 60 m to find the instantaneous rate of change of the area: dA/dr = 2π(60) = 120π m.

The answer is A) 120π m. This represents the rate at which the area of the circular oil spill is increasing when its radius is 60 meters.

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Answer:

divide 11 by 1. the answer would be 0.0909

Step-by-step explanation:

if you have a graphing calculator then you have the option to put it in as a fraction and then you would put it into a decimal. and if not then you could do it on paper.

Answer:

-3

Step-by-step explanation: