Solve for x:
\( \frac{4x + 8}{6} = \frac{2x + 3}{5} \)
SHOW WORK AND EXPLAIN PLEASE​

The maximum value of f on the interval [0, 2] occurs at x=(pi)^(1/3), and its value is approximately 0.923. So the answer is (C) 1.465.

To find the maximum value of the function f on the interval [0, 2], we need to find the critical points of f within the interval and then check their values to determine which one is the maximum.

First, we need to find the critical points by finding where the derivative of f is equal to zero or undefined. In this case, we have:

f'(x) = sin(x^3)

To find the critical points, we need to solve the equation sin(x^3) = 0, which occurs when x^3 = n*pi for any integer n. However, we are only interested in the solutions within the interval [0, 2]. The first solution is when n=0, which gives x=0. The next solution occurs when n=1, which gives x=(pi)^(1/3). Since (pi)^(1/3) is approximately 1.464, this solution lies within the interval [0, 2]. There are no more solutions within the interval.

Next, we need to check the values of f at the critical points and the endpoints of the interval to determine which one is the maximum. We have:

f(0) = 0

f((pi)^(1/3)) = integral from 0 to (pi)^(1/3) of sin(x^3) dx

Unfortunately, there is no closed form for this integral, so we need to use numerical methods to estimate its value. Using a numerical integration method like Simpson's rule with a large number of subintervals, we can estimate that f((pi)^(1/3)) is approximately 0.923.

f(2) = integral from 0 to 2 of sin(x^3) dx

Again, there is no closed form for this integral, so we need to use numerical methods to estimate its value. Using Simpson's rule with a large number of subintervals, we can estimate that f(2) is approximately -0.499.

Therefore, the maximum value of f on the interval [0, 2] occurs at x=(pi)^(1/3), and its value is approximately 0.923. So the answer is (C) 1.465.

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Answer:x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

4-2(x+5) = -5x + 12

4-2x-10 = -5x+12

-2x-6 = -5x+12

3x-6 = 12

3x = 18

x = 6

Answer:

question three 8488

question four 288

Step-by-step explanation:

Answer:

3. 8448

4. 288

Step-by-step explanation:

Answer:

brainliest?

Step-by-step explanation:

Answer:

it does not form a triangle

Step-by-step explanation:

brainliest give me pls pls pls

Answer:

It forms a obtuse triangle

Step-by-step explanation:

Because two sides are the same.

Answer:

Your answer is -80

Step-by-step explanation:

Hope this helps! :D

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

cool?

Step-by-step explanation:

Answer:

52 pounds

Step-by-step explanation:

The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.

Polynomial function refers to the algebraic expression that consists of several terms.

Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.

The given polynomial function is P(w) = 6w² - 20w + 2.

To find P(6), substitute w = 6 in P(w).

Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96

Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253

Therefore, P(6) = 253/2

Now, to find P(0), substitute w = 0 in P(w).

Therefore, P(0) = 6(0)² - 20(0) + 2 = 2

Therefore, P(0) = 2

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top right =  43

bottom right- 32

middle = 105

Answer is

B= 32*

D= 43*

F= 105*

Step by step

∠at point B is is opposite interior angle to angle at point C, so it’s congruent or the same, so

∠B = 32*

∠ at point D is a supplement angle to 137. Supplement angles sum = 180.

180 - 137 = 43.

∠ at point F will follow triangle angle sum theorem - the sum of interior angles of a triangle is 180°. We have 32* + 43* = 75*.

180 - 75 = 105 degrees for both angles at point F.

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

\(\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)\)

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

\(\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)\)

The distance the bird must fly to be directly above the fish is 7.5 feet.

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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The domain for the given function is {-1, 2, 33, 32}.

A function's or relation's domain is the set of all possible independent values that the relation can take. It is the sum of all possible inputs.

A function's or relation's range is the set of all possible dependent values that the relation can produce from the domain values. It is the sum of all possible outputs.

When dealing with sets of ordered pairs, we simply divide the pairs into x- and y-coordinates. The domain is formed by the x-coordinates, which are independent values. The y-coordinates are the dependent values, i.e. they define the range.The domain in the set of ordered pairs {(a,b); (c,d); (e,f); (g,h)} is the set of the first number in each pair (those are the x-coordinates): {a,c,e,g}. The range is the set of all the pairs with the second number (the y-coordinates): {b,d,f,h}.

Given,

The set of ordered pair =   {(-1,5) , (2,3), (33,6), (32,7)}

then,

the Domain = {-1, 2, 33, 32}

Range = {5, 3, 6, 7}

Thus, the domain for the given function is {-1, 2, 33, 32}

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Answer:50%

Step-by-step explanation:

Answer:

vtvtvu I I u u yvy yvy tvvvbkkkkooook

Answer:

See below for answers

Step-by-step explanation:

1st Problem:

Because the figure is a triangle, it's interior angles will add up to 180 always. Since it's a right triangle, we know one of the angles is 90, but we'll need to set up an equation to solve for x.

90+(2x-2)+(x+5)=180

2x-2+x+5=90

3x+3=90

3x=87

x=29

Therefore, B) 29, is the correct answer

2nd Problem:

Given side lengths of a, b, and c, if a+b<c, then it's a triangle. Since 8+8 is not less than 16, the sides do not make a triangle. The hypotenuse, c, must always be the longest length.

Therefore, A) Not a triangle, is the correct answer

3rd Problem:

To find angle x, we need the last interior angle of the triangle. Since the interior angles of a triangle add up to 180, we once again set up an equation to find the missing interior angle:

21+34+y=180

55+y=180

y=125

Since the missing interior angle is 125 degrees, it is supplementary to angle x, where supplementary angles add up to 180 degrees as well. So we would subtract 125 from 180 to get x. 180-125=55, so angle x is 55 degrees. Therefore, C) 55, is the correct answer.

4th Problem:

Again, use the Interior Angle Theorem to get x:

58+47+x=180

105+x=180

x=75

Therefore, A) 75, is the correct answer

5th Problem:

3,4,5 is a Pythagorean Triple, so it is a right triangle as 3^2+4^2=5^2. It is also scalene because none of the sides are equal to each other.

Therefore, B) Yes, scalene, is the correct answer

Answer: 339.07

Step-by-step explanation:

Answer:

339.07.

Step-by-step explanation:

I've attached an image to help break down this problem. (credit to cymath.com)

Hope this helps! :)

Answer:

what is the question

Step-by-step explanation:

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

Sue spends 3.5 hours on travelling and 2.5 hours stationary.

It is a graph which shows how far an object has travelled in a given time.

It is graph of function which represents there is no change in the function value or the function value is constant.

"subtract old value from new value."

For given example,

Given distance-time graph represents a journey made by Sue.

Let 't' represents the travelling time and 's' represents the stationary time.

If we observe the graph,

from 2 pm to 3 pm Sue travelled 5 miles

⇒ t1 = 3 - 2

⇒ t1 = 1 hour

from 3.5 pm to 4 pm she travelled 10 miles

⇒ t2 = 4 - 3.5

⇒ t2 = 0.5 hour

from 5 pm to 6.5 pm she travelled 15 miles

⇒ t3 = 6.5 - 5

⇒ t3 = 1.5 hours

from 7.5 pm to 8 pm she travelled 5 miles

⇒ t4 = 8 - 7.5

⇒ t4 = 0.5 hour

So, the total travelling time would be,

⇒ t = t1 + t2 + t3 + t4

⇒ t = 1 + 0.5 + 1.5 + 0.5

⇒ t = 3.5 hours

Also, Sue spends stationary from 3 pm to 3.5 pm

⇒ s1 = 3.5 - 3

⇒ s1 = 0.5 hour

She spends stationary from 4 pm to 5  pm

⇒ s2 = 5 - 4

⇒ s2 = 1 hour

She spends stationary from 6.5 pm to 7.5 pm

⇒ s3 = 7.5 - 6.5

⇒ s3 = 1 hour

So, the total stationary time would be,

⇒ s = s1 + s2 + s3

⇒ s = 0.5 + 1 + 1

⇒ s = 2.5 hours

Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.

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Answer:

80,000

Step-by-step explanation:

To solve this, use the Fundamental Counting Principle.

Simply calculate how many options there are for each digit in the combination, then multiply them to find the total number of combinations.

Total number of different combinations (codes):

⇒ 10 · 10 · 10 · 10 · 8 = 80,000

Last digit have

So Total ways

If those two angles = 180, then lines u and v are parallel.

90 + (x+102) = 180

192 + x = 180

x = 180-192

x = -12

So if x = -12, then lines u and v are parallel.

Answer:

x = -12

Step-by-step explanation:

90 + x + 102 = 180

192 + x = 180

x = -12

Therefore, in order for lines u and v to be parallel, the value of x must be -12

Answer:

m = 80

Step-by-step explanation:

40 = \(\frac{m}{2}\) ( multiply both sides by 2 )

80 = m

Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

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Volume

= 4 / 3 πr ^ 3

= 4 / 3 × π × 93

= 972π

= 3053.6280592893 feet3

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Branilest?

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Answer:

G.

hope this explanation helps

Step-by-step explanation:

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks