Solve for x: 5x + 7 - x - 2 = 6x + 3x - 16

The value of the integral ∫√x/(x - 4) dx from 9 to 16 is 3.022

From 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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Answer:

im so confused tooo

Step-by-step explanation:

Answer:

(4x)² or (4 · x)²

Step-by-step explanation:

The square of the product of 4 and a number can be expressed algebraically as:  (4x)² or (4 · x)²

Answer:

32

Step-by-step explanation:

Green : black

3             4

We have 24 green

3+8=24

so  multiply each side by 8

Green : black

3*8         4*8

24            32

There are 32 black grapes

Answer:

32

Step-by-step explanation:

By Question :-

Let :-

Therefore,

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Step-by-step explanation:

I got these answers from brainly click on the picture I hope this might help.

(a) The time (in h) will the plane take to reach the city is 7.09 hours or 7.1 hours.

(b) The plane flies through a constant tailwind blowing at 53.5 km/h, the time (in h) will it take to reach the city is 3.58 hours or 3.6 hours.

(c) The plane flies through a constant crosswind blowing east at 53.5 km/h, the time (in h) will it take to reach the city is infinite.

(a) To find the time it will take for the plane to reach the city with a headwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by subtracting the speed of the headwind from the plane's airspeed.

Ground speed = Airspeed - Headwind speed

Ground speed = 163 km/h - 53.5 km/h

Ground speed = 109.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 109.5 km/h

Time = 7.09 hours or 7.1 hours

(b) To find the time it will take for the plane to reach the city with a tailwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by adding the speed of the tailwind to the plane's airspeed.

Ground speed = Airspeed + Tailwind speed

Ground speed = 163 km/h + 53.5 km/h

Ground speed = 216.5 km/h

Now that we know the ground speed, we can use the formula:

Time = Distance ÷ Speed

Time = 776 km ÷ 216.5 km/h

Time = 3.58 hours or 3.6 hours

(c) To find the time it will take for the plane to reach the city with a crosswind, we need to first find the component of the crosswind that is perpendicular to the plane's direction of travel. This component will not affect how long it takes for the plane to reach its destination.

Component of crosswind = Crosswind speed × sin(angle between direction of travel and crosswind)

Component of crosswind = 53.5 km/h × sin(90°)

Component of crosswind = 53.5 km/h

Now we can find the ground speed of the plane relative to its direction of travel:

Ground speed = Airspeed × cos(angle between direction of travel and crosswind)

Ground speed = 163 km/h × cos(90°)

Ground speed = 0 km/h

Since the ground speed is 0 km/h, the plane will not make any progress towards its destination. Therefore, it will take an infinite amount of time to reach the city with a crosswind.

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To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Please refer the above attachment

The value of P(B|A) is 0.25.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have P(A) = 0.40 and P(B) = 0.5

and, P(A and B) = 0.10

Using Conditional Probability

P(B|A) = P(A ∩ B)/P(A)            

Substitute the values of P(A), P(B) and P(A ∩ B),

P(B|A) = 0.10/ 0.40

P(B|A) = 0.25

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Answer:

n = 15

Step-by-step explanation:

360 ÷ 24 = 15.

good luck, i hope this helps :)

Answer:

N = 15

Step-by-step explanation:

In a graph G, if it does not contain a cycle, then the minimum length of a cycle contained in it is defined as the girth g(G) of G. If G does not contain a cycle, it is defined as g(G) = ∞. For example, the girth of the tesseract graph is 4. This answer will aim to prove that if G is a planar graph with n vertices, q edges, and girth g, then q ≤ n - 2g * 10.  

Firstly, the Euler's Formula states that a planar graph G has n vertices and q edges, then the number of faces F in the graph is F = q + 2 - n. The face with the smallest degree is called a "minimal face," and it is a triangle because it has the fewest number of edges. So, we know that every face of the planar graph has at least three edges.  

Since the girth of the graph is g, no cycle in G has fewer than g vertices. Thus, a cycle in G with length l can use at most q/l edges. Therefore, we have:q ≥ Fg/2where g is the girth of the graph and F is the number of faces.  

Since each face is a triangle or has more edges, we can say that

F ≤ 2q/3. Thus,q ≥ (2/3)Fg ≥ (2/3)(q + 2 - n)g

By using the Euler formula, we can write:

q ≥ (4/3)g + (2/3)n - 2gTherefore,\(q - (2/3)n ≥ (4/3)g - 2g = (2/3)g,\)

which implies thatq \(≤ n - (2/3)n + (2/3)g - 2g ≤ n - (2/3)n - 4g = n - 2g * 10.\)

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Answer:8/3

Step-by-step explanation:

Total number of hours: 24

Total number of guards: 9

Equation: Total number of hours/ total number of guards

24/9= 8/3 hour shifts or 2.66667 hour shifts for each guard.

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = \(\frac{x}{x-7}\)

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

solve

x - 7 = 0 ⇒ x = 7 ← excluded value

Thus

x = - 7 → in domain

x = 0 → in domain

x = 7 → not in domain

Answer:

-7= in domain

0= in domain

7= not in domain

Step-by-step explanation:

give the other person brainliest not me! they did really good!!!!

Step-by-step explanation:

-6s2+12s-8-3s2-8s+6

=-9s2+4s-2

Answer:

second part is

2a^2 + 9ab + (-7b^2)

on edge

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

copy the proportion;

1 x

- = ----

8 16

16/8 = 2

1 x 2 = 2

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

Answer:

weak positive

Step-by-step explanation:

look at image

Answer:

3.125 miles

Step-by-step explanation:

5 × 0.625 = 3.125 miles

Answer:

400

Step-by-step explanation:

THE answer is 400 FILLER FILLER FILLER :)))))))))

Answer:

400

Step-by-step explanation:

1000 times 4 =4000 and 4000 and then take off a zero

6t=9

Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.

I hope I've helped!

Based on these conditions, we can conclude that the graph of f(x) will be a decreasing function that is always positive, and it will have a concave up (smiling) shape.

Based on the given information: For all x, f(x) > 0: This means that the function f(x) is always positive, indicating that the graph of f(x) lies above the x-axis.

f'(x) < 0: This implies that the derivative of f(x) is negative for all x. In terms of the graph, this means that the function is decreasing, or sloping downwards, as x increases.

f''(x) > 0: This indicates that the second derivative of f(x) is positive for all x. In terms of the graph, this means that the rate of decrease (slope) is increasing. The graph is concave up, or has a "smiling" shape.

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Answer:

A

Step-by-step explanation:

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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1). 15 days

2). 115.2 pounds.

3). 500 meters

1. To find out when the couple will have another day off together, we need to find the least common multiple (LCM) of their work schedules. The LCM of 3 and 5 is 15, so the couple will have another day off together after 15 days.

2. The weight W of an object above the earth varies inversely as the square of the distance D from the center of the earth.

This means that W = k/D^2, where k is a constant.

To find k, we can plug in the values given in the question: 180 = k/4000^2.

Solving for k gives us k = 180*4000^2 = 2880000000. Now we can plug in the new distance, 4000 + 1000 = 5000 miles, to

find the new weight: W = 2880000000/5000^2 = 115.2 pounds.

3. To find the total distance traveled by the fly, we need to find out how long it takes for the turtles to meet.

The combined rate of the turtles is 10 + 20 = 30 m/s, so it will take them 150/30 = 5 seconds to meet.

The fly travels at a constant rate of 100 m/s, so in 5 seconds it will have traveled 100*5 = 500 meters.

Therefore, the total distance traveled by the fly is 500 meters.

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Answer:

C circumcenter

Step-by-step explanation:

the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.

Point P represents the point of circumcenter.

A circumcenter is the center point of a triangle inscribed in a circle. It is usually located at a point of intersection to perpendicular bisectors.

From the image attached in the question:

It is also known to be the location of the point of concurrency for perpendicular bisectors.

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Answer:

700.4 cm

Step-by-step explanation:

Use a proportion.

Let x be the vertical distance for the 700 cm pipe.

1 cm is to 30 cm as x cm is to 700 cm

1/30 = x/700

30x = 1 * 700

30x = 700

3x = 70

x = 70/3

Now we need l. We have a right triangle with legs measuring 70/3 cm and 700 cm, and we are looking for the hypotenuse l.

a^2 + b^2 = c^2

(70/3)^2 + 700^2 = c^2

c^2 = 4900/9 + 490000

c = 700.4

l = 700.4 cm

Answer:500

explanchion: 1000/50=500

The depreciation Straight Line Method charges a fixed depreciation amount on an annual basis for the duration of an asset. The original cost is the basis for computing the annual depreciation, which is constant year over year. This approach is additionally referred to as the "Original Cost method" or the "Fixed Instalment method."

What is straight line method answer?

  The value of an asset is steadily decreased via the Straight Line Method (SLM) of Depreciation until it reaches its scrap value. Depreciation is subtracted from the asset's value on an annual basis in a specified amount.

Why is the straight-line approach used?

The straight line approach is popular with accountants because it is simple to apply, produces fewer errors during the asset's lifetime, and costs the same amount for each accounting period.

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