Find the value of y for the given value of x.

Y=2x3;x=3
Y=?

The otter takes approximately 12.10 seconds to get to the other side if it swims directly across the river. The current will have carried the otter approximately 30.25 meters downstream when it reaches the other side. The otter's velocity, relative to the bank from where it started, is 0.25 m/s.

a) To find the time it takes for the otter to get to the other side, we can use the concept of relative velocity. The otter's swimming speed is 2.75 m/s, and the current velocity is 2.5 m/s. Since the otter is swimming directly across the river, its swimming speed and the current speed are perpendicular. Using the Pythagorean theorem, we can find the resultant velocity of the otter:

Resultant velocity = √(swimming velocity² + current velocity²)

= √(2.75² + 2.5²)

≈ √(7.5625 + 6.25)

≈ √13.8125

≈ 3.72 m/s (rounded to two decimal places)

The time it takes to cross the river is given by the distance divided by the resultant velocity:

Time = Distance / Resultant velocity

= 45.0 m / 3.72 m/s

≈ 12.10 seconds (rounded to two decimal places)

b) To find how many meters downstream the current carries the otter when it gets to the other side, we can calculate the distance using the time it takes to cross and the current velocity.

Distance downstream = Time × Current velocity

= 12.10 s × 2.5 m/s

= 30.25 m

c) The otter's velocity, relative to the bank from where it started, can be calculated by subtracting the current velocity from the otter's swimming velocity.

Relative velocity = Swimming velocity - Current velocity

= 2.75 m/s - 2.5 m/s

= 0.25 m/s

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(a) To graph the constraints, we can rewrite them in slope-intercept form:

1) 6xx - yy ≥ 18

  -yy ≥ -6xx + 18

  yy ≤ 6xx - 18

2) 3xx + 2yy ≤ 24

  2yy ≤ -3xx + 24

  yy ≤ (-3/2)xx + 12

The feasible region is the area that satisfies both inequalities. To graph it, we can plot the lines 6xx - 18 and (-3/2)xx + 12 and shade the region below both lines.

(b) To draw a line representing all combinations of x and y that make the objective function equal to a specific value, we can choose a value for the objective function and rearrange the equation to solve for y in terms of x. Then we can plot the line using the resulting equation.

(c) To find the optimal solution, we need to find the point(s) within the feasible region that minimize the objective function. If the optimal solution is at the intersection point of two constraints, we can solve the corresponding system of equations to find the coordinates of the intersection point.

(d) After finding the optimal solution(s), we can label them on the graph by plotting the point(s) where the objective function is minimized.

(e) To calculate the optimal value of the objective function, we substitute the coordinates of the optimal solution(s) into the objective function and evaluate it to obtain the minimum value.

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This procedure will help you systematically analyze the rewards and increase your probability of choosing the larger, delayed reward over the smaller, immediate one.

To increase your probability of choosing a large, delayed reward instead of a smaller, immediate reward, you can follow this procedure:

1. Identify the options: Clearly define the large, delayed reward and the smaller, immediate reward you are comparing.

2. Assess the probabilities: Determine the probability of receiving each reward based on available information or historical data.

3. Calculate the expected value: Multiply the reward amount by its respective probability for each option to find the expected value.

4. Apply a discount factor: To account for the time value of money, apply a discount factor to the delayed reward, which will reduce its present value. This step helps in comparing the two rewards more accurately.

5. Compare the expected values: Compare the expected values of the large, delayed reward and the smaller, immediate reward, considering the discount factor.

6. Choose the option with the higher expected value: Based on the comparison, choose the option with the higher expected value, which will more likely lead you to select the large, delayed reward instead of the smaller, immediate reward.

Following this procedure will help you systematically analyze the rewards and increase your probability of choosing the larger, delayed reward over the smaller, immediate one.

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Answer:

21x² + 22x - 8

Step-by-step explanation:

(3x+4)(7x-2)​ = 21x² - 6x + 28x - 8 = 21x² + 22x - 8

Answer:

B.

Step-by-step explanation:

Let's use the FOIL (First, Outside, Inner, Last) method.

We need to multiply the first terms in each pair of parentheses, which are

3x and 7x.

Multiplying, we get \(21x^2\).

We multiply the outside terms in each pair, which are 3x and -2.

Multiplying, we get \(-6x\). Remember that since -2 is negative, then the whole product is negative.

We need to multiply the inner terms now. They are 4 and 7x.

Multiplying, we get \(28x\).

Finally, we multiply the last terms in each pair of parentheses. they are 4 and -2.

Multiplying, we get \(-8\).

Now, we put the terms together.

\(21x^2-6x+28x-8\)

We can combine -6x, and 28x. Doing this, we get

\(21x^2+22x-8\). Which gives us B.

I hope this helped.

Answer:

122 degrees

Step-by-step explanation:

*A pentagon has a total of 540degrees

1st step: take all of the degrees and add them up:

105 + 90 + 86 + 137 = 418

2nd step: subtract the sum from 540:

540 - 418 = 122

The missing angle is 122 degrees

Answer:

∠ C = 122°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540°

∠ C + 137° + 86° + 105° + 90° = 540 , that is

∠ C + 418° = 540° ( subtract 418° from both sides )

∠ C = 122°

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The volume of the solid that lies within both the cylinder is 4π/3

We can use cylindrical coordinates to solve this problem. In cylindrical coordinates, we have:

x = r cos θ

y = r sin θ

z = z

The equation of the cylinder is:

x^2 + y^2 = 4

Substituting in the expressions for x and y, we get:

r^2 cos^2 θ + r^2 sin^2 θ = 4

r^2 = 4

So the cylinder has radius 2 and height h.

The equation of the sphere is:

x^2 + y^2 + z^2 = 9

Substituting in the expressions for x and y, we get:

r^2 + z^2 = 9

So the sphere has radius 3.

To find the volume of the solid that lies within both the cylinder and the sphere, we need to integrate the function 1 over this region:

V = ∫∫∫ dV

In cylindrical coordinates, the volume element is:

dV = r dr dθ dz

The limits of integration are:

0 ≤ r ≤ 2

0 ≤ θ ≤ 2π

-√(9 - r^2) ≤ z ≤ √(9 - r^2)

So we have:

V = ∫∫∫ dV

V = ∫₀² ∫₀²π ∫_{-√(9 - r^2)}^{√(9 - r^2)} r dz dθ dr

V = ∫₀² ∫₀²π 2r√(9 - r^2) dθ dr

V = 2π ∫₀² r√(9 - r^2) dr

We can make the substitution u = 9 - r^2, du = -2r dr, and write:

V = -π ∫₉¹ √u du

V = -π [2/3 u^(3/2)]₉¹

V = -π [2/3 (9 - 1/3)]

V = 4π/3

So the volume of the solid that lies within both the cylinder and the sphere is 4π/3.

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The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

The standard deviation of a normal distribution group of answer choices is always 1.

In a normal distribution, the standard deviation is a measure of the spread or dispersion of the data. The standard deviation is defined as the square root of the variance, which is the average of the squared differences from the mean.

For a standard normal distribution, which has a mean of 0 and a standard deviation of 1, the area under the curve between any two values represents the probability of getting a value between those two values. This property of the standard normal distribution is useful for calculating probabilities in statistics.

However, for a normal distribution that is not standard, the standard deviation can be any positive value. In this case, the mean and standard deviation defines the shape and location of the distribution. A larger standard deviation indicates that the data is more spread out, while a smaller standard deviation indicates that the data is more tightly clustered around the mean.

Therefore, the standard deviation of a normal distribution group of answer choices can be any positive value, but it is often standardized to 1 for ease of calculation and interpretation.

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Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, \(\mid -3 \mid -2=3-2=1\). Hope this helps!

the top angle is obtuse and the lower corner is acute, im not sure about the relationship though good luck!❤

Answer:

a) 441

b) 1008

Step-by-step explanation:

a) 7x63 = 441

b)

 63 + 41 = 504

 504 x 2 = 1008

Answer:

x=96

Step-by-step explanation:

3/8x=36

Multiply both sides by 8/3.

\((\frac{8}{3}) (\frac{3}{8} x)=(\frac{8}{3} )\)

x  =96

Answer:

96

Step-by-step explanation:

36/3/8=36*8/3.

Therefore, 36*8 is 288,

Then you divide 3 from 288=288/3=96

The answer is 96.

Hopefully this answer helps!!!

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation ;

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The sample of 112 residents has a mean GPA of 1.7.

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

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Answer:

10 envelopes

Step-by-step explanation:

What we know:

- There are 3 drawings for each envelope

- There are 28 drawings in total

To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).

28÷3=9 R1

28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.

Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.

I hope this helps! Happy holidays :)

The correct answer is B. g(x) = 3f(x).Since the parabola declines through (-1, 3) and (0, 0), we know that the vertex of the parabola is at (0, 3/2).

A parabola is a symmetrical plane curve that forms a U-shape. It is defined as the set of all points in a plane that are equidistant from a fixed point (called the focus) and a fixed line (called the directrix). In algebraic terms, a parabola can be represented by a second-degree polynomial equation, such as y = ax^2 + bx + c or x = ay^2 + by + c. Parabolas are commonly found in physics, engineering, and mathematics, and have various applications in real-world problems.

In the given question,

Since the parabola declines through (-1, 3) and (0, 0), we know that the vertex of the parabola is at (0, 3/2). We also know that the parabola rises through (1, 3) and (1.5, 6).

The equation for a parabola in vertex form is y = a(x - h)² + k, where (h, k) is the vertex. Substituting the values we know, we get:

y = a(x - 0)² + 3/2

Using the point (1, 3), we can solve for a:

3 = a(1 - 0)² + 3/2

3/2 = a

So the equation for the parabola is:

y = 3/2(x - 0)² + 3/2

Substituting f(x) = x², we get:

g(x) = 3/2(x²) + 3/2

g(x) = 3f(x)

Therefore, the answer is B. g(x) = 3f(x).

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Answer:

66.5

Step-by-step explanation:

The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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Answer:

(8, -7)

Note that B is the midpoint of the segment with endpoints A and the image of A.

Answer:

10th of June is their mother's birthday

kimberly remembers that her mother's birthday is after 6th but before 11th of june.

- after 6 is 7, before 11 is 10.

her sister sarah remembers that her mothers birthday is before 16th and after 9th of june.

- before 16 is 15, after 9 is 10.

10 are common on both cases

Answer:

B) 1/44

3/22 divided by 6 = 0.022727...

0.022727 as a fraction is 1/44.

Step-by-step explanation:

Hope it helps! =D

Answer:

\(b = \frac{n}{f} + g\)

Step-by-step explanation:

F ( -G + B ) = n

( -G + B ) = n [ F is the factor of n ]

f

-G + B = n

f

\(b \: = \frac{n}{f} - ( - g)\)

\(b \: = \frac{n}{f} \: + g\)

\(mark \: brainliest\)

Answer:

15 feet and 9 inches

Step-by-step explanation:

9 feet and 5 inches + 6 feet and 4 inches = 15 feet and 9 inches

Answer:

600 x 60 = 36,000

50 x 50 = 2,500

1,000 x 3 = 3,000

70 x 80 = 5,600

100 x 300 = 30,000

20 x 40 = 800

90 x 90 = 8,100

9 x 900 = 8,100

500 x 300 = 150,000

1,000 x 5 = 5,000

125 - 100

770 - 800

364 - 400

923 - 900

755 - 800

Step-by-step explanation:

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

Answer:

rita and john are susseful the job

js school

Answer:

x = 40

MN = 140

NO = 70

Step-by-step explanation:

MN + NO = MO

4x-20 + 2x -10 = 210

6x-30 = 210

6x = 240

x = 240/6

x = 40

4x-20

4 * 40 -20 =

160-20 =

140

MN = 140

2x-10 =

2 * 40 -10=

80 - 10=

70

NO = 70

Hope this helps you!!! :)

Can you please mark this answer as brainiest?

It would help me a lot!

Thank you!

Answer:

int option 3

Step-by-step explanation:

Answer:

I think it is option 4

Step-by-step explanation:

could be 3 possiblyu