A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

With work quickly please!!

Answer:D)6

Step-by-step explanation:

Answer:

\(y = 1\)

Step-by-step explanation:

Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.

Step-by-step explanation:

the line is passing through the point -5,1

the y-coordinare is 1

so y=1

Answer:

No

Step-by-step explanation:

She will have made $69,717.37

Please mark brainlest

Answer:

smaller x = -2

larger x = 4

vertex: (1, -9)

Step-by-step explanation:

To find the zeros of the function, set each value in parenthesis to 0 separately.

Smaller x:

(x+2) = 0

x = -2

Larger x:

(x-4) = 0

x = 4

To find the vertex of the parabola you need to find the x value between the zeros.

\(\frac{4 + (-2)}{2}\) = \(\frac{2}{2}\) = 1

Plug 1 in for x in the equation.

f(x) = ((1) + 2)((1) - 4)

f(x) = (3)(-3)

f(x) = -9

When x = 1, f(x) = -9, so the vertex of the parabola is at (1, -9).

Answer:

Step-by-step explanation:

formula: p(1+r/n)^nt

p=3300

r= 5.25% = 0.0525

n= 1

t= 8

3300(1+0.0525/1)^8(1)

3300(1.0525)^8

apply exponent to parentheses first, then multiply by 3300. and you get approximately (rounded):

≈49,692

Step-by-step explanation:

In the second step while opening the bracket, instead of 'a', there should be - 4a.

Answer:

From Step 2 every step is wrong

Step-by-step explanation:

Ste p 1 : 3a - 5b = 12 - 4(b + a)

Step 2 : 3a - 5b = 12 - 4b - 4a      [ Last term instead - 4a she\he wrote + a ]

Step 3 : 7a  - 5b = 12 - 4b

Step 4 : 7a = 12 + b

\(Step 5 : a = \frac{12 + b}{7}\)

Answer:

Step-by-step explanation:

Correct option is A)

The average period of the trials that were conducted with an amplitude of 10 degrees is 1.694 seconds.

What is amplitude ?

In mathematics, amplitude refers to the maximum displacement or distance from the equilibrium position of a periodic function, such as a sine or cosine wave. In other words, if a periodic function oscillates back and forth between two extreme values, the amplitude is the maximum distance from the average value or midpoint of the oscillation to one of the extreme values.

To calculate the average period of the trials that were conducted with an amplitude of 10 degrees, we simply add up all the periods and divide by the total number of trials.

10 degrees: 1.66 s, 1.700 s, 1.71 s, 1.68 s, 1.72 s

Average period = (1.66 + 1.700 + 1.71 + 1.68 + 1.72) / 5 = 1.694 seconds

Therefore, the average period of the trials that were conducted with an amplitude of 10 degrees is 1.694 seconds.

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Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

Answer:

Hose A=10 gal per min

Hose B=8 gal per min

Hose A is faster

Step-by-step explanation:

A) 160 gallon/16 minutes=10 gallons per minute

B) 240 gallon/30 minutes=8 gallons per minute

To determine the necessary sample size to obtain an interval width of 50 ppm for a confidence level of 95%, we need to use the formula for sample size calculation for estimating a population mean.

The formula for sample size calculation is:

n = (Z * σ / E)^2

In this case, the desired margin of error is 50 ppm, which means the interval width is 2 * E = 50 ppm. Therefore, E = 25 ppm.

The Z-score corresponding to a 95% confidence level is approximately 1.96.

Given that the investigators made a rough guess of 175 for the value of σ (standard deviation) before collecting data.

We can substitute these values into the sample size formula:

n = (1.96 * 175 / 25)^2

Simplifying the calculation:

n = (7 * 175)^2

n = 1225^2

n ≈ 1,500,625

Therefore, a sample size of approximately 1,500,625 would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%.

To obtain an interval width of 50 ppm with a confidence level of 95%, a sample size of approximately 1,500,625 is required. This is calculated using the formula for sample size estimation, considering a desired margin of error of 25 ppm and a standard deviation estimate of 175. The Z-score corresponding to a 95% confidence level is used to determine the sample size.

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I think its B about 8.6 units

To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination

We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).

The remaining 16 - 8 = 8 throws will be tails.

The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k!(n - k)!)

where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.

Applying this formula to our situation, we have:

C(16, 8) = 16! / (8!(16 - 8)!)

Calculating the factorial values:

16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320

(16 - 8)! = 8! = 40320

Substituting these values into the formula:

C(16, 8) = 20922789888000 / (40320 × 40320) = 12870

Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Translation right 6 units adds 6 to every x-coordinate. Rotation 90° CW is the transformation (x, y) ⇒ (y, -x). The sequence of transformations gives ...

  (x, y) ⇒ (y, -x-6)

Then the coordinates of the transformed figure are ...

  P(-3, 7) ⇒ P'(7, -3)

  Q(4, 12) ⇒ Q'(12, -10)

  R(4, -2) ⇒ R'(-2, -10)

  S(-3, -7) ⇒ S'(-7, -3)

Answer: 14

Step-by-step explanation:

\(f(x) = 3x^2 - 5x\)

\(518 = 3x^2 - 5x\)

\(0 = 3x^2 - 5x - 518\)

Use Quadratic formula with a = 3, b = -5, c = -518 to get:

x = 14, and -37/3

Since the number of rows cannot be negative, the answer must be positive. So there are 14 rows.

The value of b is given as follows:

b = 5.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

When two lines are parallel, they have the same slope, hence:

4x + 5y = 1

5y = -4x + 1

y = -4x/5 + 1.

Hence:

y = -4x/5 + b.

When x = 4, y = 3, hence the intercept is given as follows:

3 = -16/5 + b

b = 31/5

Hence, in standard format, the equation will be given as follows:

y = -4x/5 + 31/5

4x/5 + y = 31/5

4x + 5y = 31

Meaning that the value of b is of 5.

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5

The slope-intercept form is  y = m x + b y = m x + b , where  m m  is the slope and  b b  is the y-intercept. y = m x + b y = m x + b

Rewrite in slope-intercept form.

Subtract  3 x 3 x  from both sides of the equation. − 8 y = 5- 3 x - 8 y = 5-3 x

Divide each term by  −8 -8  and simplify. y = 3 x 8 − 58 y = 3 x 8 - 58

Rewrite in slope-intercept form. y = 38 x − 58 .

-15/-21 -14/x

-15x = -21 * -14

x = -19.6

answer -14c = -19.6 or about -20

answer 3c = .6 or about 1

formula would be

y= 1.2x -3

partial variation means the line doesn't go through (0,0)

This researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

Research can be defined as the process of  investigating or making findings so as to reach or draw a conclusion based on the findings.

Research can also be defined as the process of collecting data, analyzing and interpreting the data collected in order to reach a conclusion.

Based on the given scenario the researcher cannot conclude that testosterone increases feelings of motivation and vigor based on his finding as their no enough data and evidence to support is findings.

Inconclusion this researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

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In the above-given situation of Grace (C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

To find whether the above-given situation is fair or not:

Therefore, in the above-given situation of Grace (C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

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The correct question is given below:

A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Grace wins if she selects a turquoise marble from the jar. Is this game fair? Why or why not?

(A) Yes, the game is fair because Grace has equal probabilities of choosing a marble of either color.

(B) Yes, the game is fair because Grace has equal probabilities of winning and losing.

(C) No, the game is not fair because Grace has a higher probability of choosing a marble of another color.

(D) No, the game is not fair because Grace has equal probabilities of winning and losing

Answer: x - 2.6 = 72.8

x is the number which Dan was thinking (x > 2.6)

we have:

x - 2.6 = 72.8

Step-by-step explanation:

Answer:      10D is your answer hope I helped

Step-by-step explanation:

The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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No, an isosceles triangle is not always a right triangle.

An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. The two equal sides are known as the legs, and the angle opposite the base is known as the vertex angle.

A right triangle, on the other hand, is a triangle that has one right angle (an angle measuring 90 degrees). In a right triangle, the side opposite the right angle is the longest side and is called the hypotenuse.

While it is possible for an isosceles triangle to be a right triangle, it is not a requirement. In an isosceles triangle, the vertex angle can be acute (less than 90 degrees) or obtuse (greater than 90 degrees). Only if the vertex angle of an isosceles triangle measures 90 degrees, then it becomes a right isosceles triangle.

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Answer:

F= 4 4/6

Step-by-step explanation:

Lets break it down

3 1/6 + f - 7 5/6

3 plus what equals 7 answer 4!

1/6 pls how many more sixths equals 5/6th answer 4/6 ths

so overall you combine the two answers for whole and fraction an

It will take approximately 7.85 hours to fill the pool.

To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.

The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.

V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet

Next, convert the volume to gallons using the given conversion factor:

1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons

Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:

9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes

Finally, convert the time to hours:

471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours

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Answer:

x = 81°

Step-by-step explanation:

Angles in a triangle

The sum of internal angles of a triangle is 180°

Angle x is an internal angle of the triangle shown in the figure below, where another angle y has been added.

For the construction of the figure, y is the supplementary angle of 105°, thus:

y = 180° - 105° = 75°

The internal angles of the triangle must comply:

24° + 75° + x = 180°

Solving for x:

x = 180° - 24° - 75°

x = 81°

Applying the theorem of the exterior angle of a triangle, the value of x in the image given is: \(\mathbf{x = 81^{\circ}}\)

Recall:

The exterior angle theorem of a triangle states that the sum of the two interior angles of a triangle are congruent to the exterior angle opposite to them.

Thus:

Therefore:

\(24 + x = 105\)

\(x = 105 - 24\\\mathbf{x = 81^{\circ}}\)

Therefore, applying the theorem of the exterior angle of a triangle, the value of x in the image given is: \(\mathbf{x = 81^{\circ}}\)

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The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

7² = 49 ans

Step-by-step explanation:

7² == 49 ans .....

Answer:

49

Step-by-step explanation:

7² = 7 x 7 = 49

The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).

To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\)  and 121/\(n^2\).

Since we want to express the numbers in exact form, we keep them as they are.

The inequality states that −2\(e^{(-n/n^2)}\)  is less than or equal to 121/\(n^2\).

This means that the left-hand side is either less than or equal to the right-hand side.

The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\)  is negative or zero.

On the other hand, 121/\(n^2\) is positive for n ≥ 1.

Therefore, the inequality −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) holds true for n ≥ 1.

The negative or zero value of −2\(e^{(-n/n^2)}\)  ensures that it will be less than or equal to the positive value of 121/\(n^2\).

In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) for n ≥ 1.

This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.

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