adiciones racinales 1/7+3/7+2/7

Answer:

$2800

Step-by-step explanation:

Since we know that a tank with a diameter of 6m costs $700 to fill, we just need to figure out the equivalent values for when the tank is 24m. To do so, since 24 is 4 times 6, we multiply the cost by 4 as well, to get $2800.

Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:

sin² A = (1 - cos 2A)/2

cos² A = (1 + cos 2A)/2

Proof LHS → RHS:

LHS:                          sin⁴ A

Expand:                     sin² A · sin² A

\(\text{Half-Angle:}\qquad \qquad \bigg(\dfrac{1-\cos (2A)}{2}\bigg)\bigg(\dfrac{1-\cos (2A)}{2}\bigg)\)

\(\text{Distribute:}\qquad \qquad \dfrac{1-2\cos (2A)+\cos^2 (2A)}{4}\)

\(\text{Half-Angle:}\qquad \qquad \dfrac{1-2\cos (2A)+\frac{1+\cos (2\cdot 2A)}{2}}{4}\)

\(\text{Simplify:}\qquad \qquad \dfrac{\frac{2}{2}[1-2\cos (2A)]+\frac{1+\cos (4A)}{2}}{4}\)

                         \(=\dfrac{2-4\cos (2A) + 1 + \cos (4A)}{8}\)

                         \(=\dfrac{1}{8}\bigg(3-4\cos (2A)+\cos (4A)\bigg)\)

LHS = RHS  \(\checkmark\)

Let's start from LHS...

LHS = sin^4A = sin^2A * sin^2A

We can apply a few formulas here;

cos 2A = 1 - 2sin^2A

sin^2A = (1 - cos2A) / 2

cos2A = 2cos^2A - 1

cos^2A = (1 + cos2A) / 2

According to the second formula, sin^2A * sin^2A = (1 - cos2A) / 2 * (1 - cos2A) / 2.

(1 - cos2A) / 2 * (1 - cos2A) / 2 = 1/4(1 - cos2A)^2

We can simplify "(1 - cos2A)^2." Remember that (a - b)^2 = a^2 - 2ab + b^2. Similarly (1 - cos2A)^2 = (1 - 2cos 2A + cos^2 2A);

1/4(1 - cos2A)^2 = 1/4(1 - 2cos 2A + cos^2 2A)

According to the fourth formula, cos^2 2A = (1 + cos4A) / 2;

1/4(1 - 2cos 2A + cos^2 2A) = 1/4(1 - 2cos 2A + (1 + cos4A) / 2)

= (taking LCM) 1/4( (2 - 4cos 2A + 1 + cos4A)/2 )

= (simplified) 1/8(3 - 4cos 2A + cos 4A)

Amy should collect a sample data size of 50, but she does not have enough time. So, she collected those from her three different classes’ students. The method used here is called stratified sampling.

Stratified Sampling is a type of sampling technique where the researcher divides the entire population into homogeneous subgroups and then selects the final subjects randomly from each subgroup. This method ensures that the sample selected represents the population equally well. In stratified sampling, the population is divided into subgroups, called strata, and then a random sample is drawn from each stratum to form the final sample. This type of sampling method is used when a population has distinct subgroups that differ in some important ways. It is the most appropriate method when the population is heterogeneous and contains several sub-groups that vary in characteristics. This method ensures that the sample is representative of the population as a whole.

Amy chose stratified sampling method. The reason behind it is that she had to collect a sample data size of 50. The population from which she had to take the sample was large. To simplify the sampling process, she divided the population into three subgroups: students from her three different classes, and then randomly selected the subjects from each class. This method is called stratified sampling. The benefit of using stratified sampling is that it ensures that the sample is representative of the population as a whole. It provides better accuracy and precision of results.

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Therefore, the probability that the red team wins is 60%, and the probability that the blue team wins is 55%, based on this we can conclude for a 180-game season:

The fan expect the red team wins 108 games

For the blue team:

As compared to the blue team, the red team:

Will win 7 games more than the blue team

The numerical length of line segment \(\(\overline{JL}\)\) is approximately -11.67 units.

To determine the numerical length of line segment \(\(\overline{JL}\)\), we need to determine the value of JL provided the equations; KL = 2x - 2, JL = 4X-9, and JK = 5X+2.

Since point K is on line segment \(\(\overline{JL}\)\), we can equate the lengths KL and JK and solve for x:

KL = JK

2x - 2 = 5x + 2

By rearranging the equation, we get:

2 - 2 = 5x - 2x + 2

0 = 3x + 2

3x = -2

\(x = -\frac{2}{3}\)\)

Now that we have the value of x, we can substitute it into the equation for JL to calculate its numerical length:

JL = 4x - 9

\(\(JL = 4\left(-\frac{2}{3}\right) - 9\)\\\\\)

\(\\\(JL = -\frac{8}{3} - 9\)\\\\\)

\(\(JL = -\frac{8}{3} - \frac{27}{3}\)\\\\)

\(\(JL = -\frac{35}{3}\)\)

Therefore, the numerical length of line segment \(\(\overline{JL}\)\) is \(\(-\frac{35}{3}\)\) or approximately -11.67 units.

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Answer:

274

Step-by-step explanation:

First stop of Caroline = At 36 mile marker

Destination of Caroline = At 353 mile marker

Distance left to be covered = 353 - 36 = 317 miles

Given that Caroline decides to stop at an attraction \(\frac{3}{4}\) of the way after she stops for gas.

i.e. at a distance \(\frac{3}{4}\) of 317 miles away from the Gas stop.

\(\frac{3}{4} \times 317 = 79.25\times 3 \approx 238\ miles\)

So, Caroline stops at a point which is around 238 miles away from the gas station.

To calculate the Mile marker of her stop, we need to add the mile marker of gas station and the distance of her stop from gas station.

Mile marker location at her stop = 36+238 = 274

If d is directly proportional to t, then we can say that d = k * t, where k is a constant of proportionality. We can find the value of k by substituting the given values for d and t into this equation:

d = k * t

20 = k * 2

Solving for k, we get k = 10.

Now that we know the value of k, we can calculate the distance the car travels in 3 seconds by substituting 3 for t in the equation d = k * t:

d = 10 * 3

d = 30

Therefore, the car travels 30 meters in a time of 3 seconds.

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

the function will be f(x) = x³ + 2 x² - 8x.

We are given that:

The degree of the polynomial function f(x) is = 3

Roots of the function for f(x) = 0 are:

-4, 0 and 2

That is

x = -4, x = 0 and x = 2

Which can also be written as:

x + 4 = 0, x = 0 and x - 2 = 0

So, the function will be:

f(x) = (x + 4) (x) (x - 2)

f(x) = x (x² - 2 x + 4 x - 8)

f(x) = x (x² + 2 x - 8)

f(x) = x³ + 2 x² - 8x

Graph of the function is shown in the image.

Therefore, the function will be f(x) = x³ + 2 x² - 8x.

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Answer:

can you add a pic please so I can help u

Step-by-step explanation:

false

Step-by-step explanation:

false

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

The derived units answers are 379 mg, 787 × 10^3 mg and 0.0743 kg.

What do you mean by units?

Unit is a quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner

0.379 g = ? mg

as we know, 1 gram is equal to 1000 milligrams. i.e. 1 g = 1000 mg

∴ 0.379 × 1 g

= 0.379 × 1000 mg

= 379 mg

787 g = ? mg

as we know, 1 gram is equal to 1000 milligrams. i.e. 1 g = 1000 mg

∴ 787 × 1 g

= 787 × 1000 mg

= 787000 mg

= 787 × 10^3 mg

74.3 g = ? kg

as we know, 1 gram is equal to 1 / 1000 kilograms. i.e. 1 g = 1 / 1000 kg

∴ 74.3 × 1 g

= 74.3 × 1 / 1000 kg

= 74.3 / 1000 kg

= 0.0743 kg

Therefore, the derived units answers are 379 mg, 787 × 10^3 mg and 0.0743 kg.

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Answer:

2.0 x 6.0 = 12

2.0 x 0.4 = 0. 8

0.7 x 6.0 = 4.2

0.7 x 0.4= 0.28

Step-by-step explanation:

The product of 2.7 x 6.4 = 17.28

If you add all those up in the answer I provided, they too equal 17.28.

Answer:

the correct answer is... 2

.

0

×

0

.

4

=

0

.

8

0

.

7

×

6

.

0

=

4

.

2

0

.

7

×

0

.

4

=

0

.

28

2

.

0

×

6

.

0

=

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Axis of Symmetry y=-6x^2+36x-12. y=−6x2+36x−12 y = - 6 x 2 + 36 x - 12 Rewrite the equation in vertex form.

Answer:

x=3

Step-by-step explanation:

Step-by-step explanation:

as an = a(n-1)+4

then a4. = 7(4-1)+4

= 7(3)+4

= 21 +4

= 25

hope this will be helpful to you.if you find it useful then plz mark my answer as brainlist.

Solution

We have

square will cancel out the square root

Option A

Answer: relation 3 function relation 4 not a function

Step-by-step explanation:

The domain of this function p is (9,000 - x)/30, the marginal cost is 30 dollars per TV and revenue function is x(9,000 - x)/30. The marginal revenue is  (9,000 - 2x)/30 and  profit function in terms of x is R(x) -.

(A) To express the price p as a function of the demand x, we can solve the price-demand equation for p:

x = 9,000 - 30p

30p = 9,000 - x

p = (9,000 - x)/30

The domain of this function is the set of values of x for which the price is non-negative, since negative prices do not make sense in this context. Therefore, the domain is 0 ≤ x ≤ 9,000.

(B) The marginal cost is the derivative of the cost function with respect to x: C'(x) = 30

So the marginal cost is a constant value of 30 dollars per TV.

(C) The revenue function R(x) is the product of the demand x and the price p: R(x) = xp = x(9,000 - x)/30

The domain of this function is the same as the domain of the price function, which is 0 ≤ x ≤ 9,000.

(D) The marginal revenue is the derivative of the revenue function with respect to x: R'(x) = (9,000 - 2x)/30

(E) To find R'(3,000) and R'(6,000), we substitute x = 3,000 and x = 6,000 into the expression for R'(x):

R'(3,000) = (9,000 - 2(3,000))/30 = 100

R'(6,000) = (9,000 - 2(6,000))/30 = -100

Interpretation: R'(3,000) represents the extra money made from selling one more TV at a constant price when the demand is 3. When the demand is 6,000 TVs and the price remains the same, R'(6,000) represents the decrease in revenue from selling one fewer TV.

(F) To graph the cost function and the revenue function, we can plot the two functions on the same coordinate system, using the given domain of 0 ≤ x ≤ 9,000. The break-even points are the values of x for which the cost and revenue are equal, or C(x) = R(x).

C(x) = 150,000 + 30x

R(x) = x(9,000 - x)/30

Setting C(x) = R(x), we get:

150,000 + 30x = x(9,000 - x)/30

900,000 - 30x^2 = 30(150,000 + 30x)

900,000 - 30x^2 = 4,500,000 + 900x

30x^2 - 900x + 3,600,000 = 0

x^2 - 30x + 120,000 = 0

(x - 6,000)(x - 20) = 0

The break-even points are x = 6,000 and x = 20. These correspond to the intersections of the cost and revenue curves. The region to the left of x = 6,000 is a region of loss, since the revenue is less than the cost for x < 6,000. The region between x = 6,000 and x = 20 is a region of profit, since the revenue exceeds the cost for 6,000 < x < 20. The region to the right of x = 20 is again a region of loss, since the revenue is less than the cost for x > 20.

(G) The profit function is given by subtracting the cost function from the revenue function:

P(x) = R(x) -

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Answer:

Heres the order -4,-1,2,3,9

Answer:

Option C- 23,000+(4.5+103) is correct

Step-by-step explanation:

In calculator, numbers in scientific notation must be entered in 'e' notation.

For example, \(\[1.234\text{ }\times \text{ }{{10}^{40}}\]\) is entered as \(\[1.234E40\]\)

Thus, expression  \(\[23,000+\text{ }4.5E3\]\) can be written as \(\[23,000+\text{ }4.5\times {{10}^{3}}\text{ }\]\).

Therefore, option C is correct.

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The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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Step-by-step explanation:

Multiplication......

Answer:

C

Step-by-step explanation:

Your answer is C 6.25 x 10^-4

Answer:

130 degrees

Step-by-step explanation:

Add 90 and 40