20 pts!! ANSWER SOON PLEASE!! WILL GIVE BRAINLIEST!!Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.

Answer:

90

Step-by-step explanation:

The angles are on either side of the line are in proportion.

Hence,

⇒ \(\frac{10}{8} = \frac{x}{72}\)

⇒ \(\frac{5}{4} = \frac{x}{72}\)

⇒ \(x = \frac{5 \times 72}{4}\)

⇒ \(x = 5 \times 18\)

⇒ x = 90

Let's see

\(\\ \rm\Rrightarrow \dfrac{8}{10}=\dfrac{72}{x}\)

\(\\ \rm\Rrightarrow \dfrac{4}{5}=\dfrac{72}{x}\)

\(\\ \rm\Rrightarrow 4x=360\)

\(\\ \rm\Rrightarrow x=90\)

Answer:

1/35 every hour

Step-by-step explanation:

The number of hours between 10pm and 7:20AM is 9 hours and 20 minutes. This is computed by noting that there are 2 hours till midnight and then 7 hours and 20 minutes till 7:20AM

So total time the water decreased = 9 hours and 20 minutes
20 minutes = 20/60 = 1/3 of an hour
So time taken in hours = 9 1/3 = 28/3 hours

4/15 of the pool depth decreased in 28/3 hours

Rate of decrease  per hour = 4/15 ÷ 28/3

=4/15 x 3/28 =(4 x 3)/(15 x 28) = 12/420

Dividing numerator and denominator by 12 gives
(12 ÷ 12)/(420 ÷ 12) = 1/35

So the water level dropped by 1/35 every hour

The two inequalities that represent given situation:

w + c ≤ 32

w < 11

In this question we have been given Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat.

We need to identify two inequalities that represent this situation.

Let w represents the number of acres of wheat and c represent the number of acres of corn.

Johanna will plant up to 32 acres on her farm with wheat and corn:

w + c ≤ 32

Fewer than 11 acres will be planted with wheat:

w < 11

Therefore, the two inequalities that represent given situation:

w + c ≤ 32

w < 11

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The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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Answer: 62

The expression given below

Where t = 8, w = 1/2 and x = 3

To find the value of this expression, we need to substitute the value of t, w and x into the above expression

Answer:

2x^2- 3x - Y= -5 -x + Y = 5

there is no solve because it already is solved.

Step-by-step explanation:

Data on red/green colour blindness were gathered from 2500 women and 650 men for the study. Only 5 of the women had colour blindness, compared to 59 of the men who were confirmed to have it. The hypothesis that red/green colour blindness affects men more frequently will be put to the test.

We can examine the percentages of colour blindness in men and women to test the validity of the assertion. Let p_w indicate the percentage of women who are affected by red/green colour blindness and p_m the percentage of men who are affected. If p_m is bigger than p_w, we want to know.

For the sake of testing hypotheses, we consider the alternative hypothesis (Ha) that p_m is greater than p_w and the null hypothesis (H0) that p_m is equal to p_w. The sample proportions can be calculated using the provided information as follows: p_m = 59/650 = 0.091 and p_w = 5/2500 = 0.002.

The z-test can then be used to compare the proportions. The test statistic is denoted by the formula z = (p_m - p_w) / sqrt(p(1 - p)(1/n_m + 1/n_w)), where p = (n_m * p_m + n_w * p_w) / (n_m + n_w) and n_m and n_w are the sample sizes for men and women, respectively. The test statistic can be calculated by substituting the values.

We may determine the p-value for the observed difference using the test statistic. Men are more likely than women to be colour blind to red and green, according to the alternative hypothesis, if the p-value is smaller than the significance threshold () specified (usually 0.05).

We can use the formula (p_m - p_w) z * sqrt(p(1 - p)(1/n_m + 1/n_w)) to create a confidence interval for the difference between the colour blindness rates of men and women, where z is the crucial value corresponding to the selected confidence level (99% in this example). We may get the lower and upper boundaries of the confidence interval by inserting the values.

In conclusion, we can assess the claim that men have a higher rate of red/green colour blindness based on the provided data by performing hypothesis testing and creating a confidence interval.

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Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                           = \(\frac{1}{2}(16)(4)\)

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°

The length of the square base is thus \(2 x 3\sqrt{2}/2 = 3\sqrt{2}\) = A

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = \(6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}\)

The length of the square base is thus \(2 x 3\sqrt{2}/2 = 3\sqrt{2}\) = A

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The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer:

D or y=-2x+4

Step-by-step explanation:

In the graph the y intercept is 2.

In y=-2x+4 they y intercept is 4 so this is not represented by the graph.

Answer:

D. y = -2x + 4

Step-by-step explanation:

When setting up the equation in slope-intercept form (y = mx + b), the 'b' variable represents the 'y' value where the line intercepts the y-axis. The 'm' represents the slope, which is the rate of change. If D was the correct answer, then the line would be placed higher up and would have been tilted down more.

In the given question, the rocket will hit the ground in 7 seconds. The width of the rectangle is 3 cm. Kirk makes the wall in 5.5 hours. The student needs 97 marks.

The relation between the height and the time of the toy rocket has been given in the question as,

h = -4.9t²+33.6t + 4.9

where,

h= height of the rocket after getting launched

t= time after which the rocket has been launched

So, if we have to calculate how much time the rocket takes to reach the ground,

we have to take h=0 (at ground).

So, the equation becomes

0 = -4.9t²+33.6t + 4.9

Now, the roots of this equation will give the time at which the rocket will hit the ground.

So, after calculating we get

t = -0.1428 sec

or

t = 7 sec

since negative time is not possible,

the time at which the rocket will hit the ground is 7 seconds.

The length of the rectangle is = 5b-7 cm

Hence, the area is = b(5b-7) = 24

Hence, the width comes out to be = 3 cm

Kirk would be able to make the wall in 5.5 hours. This is because Jeff can make it one hour earlier than him i.e., K-1 hours. So, we get -

= (K-1) + K = 10

= 2K = 11

= K = 5.5 hours

The student already has 87 + 85 + 91 = 263 marks. He needs at least -

= (263 + x) / 4 = 90

= 97 marks

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Answer:

yes?

Step-by-step explanation:

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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a. The probability that wave height is at most 0.5 m is 0.612.

b. The probability that wave height exceeds its mean value by more than one standard deviation is 0.262.

c. The median of the wave-height distribution is 0.657 m.

d. The 90th percentile of the wave-height distribution is 1.512 m.


1. To find the probability of wave height being at most 0.5 m, calculate the cumulative distribution function (CDF) of the Weibull distribution with α = 1.817 and β = 0.863: F(x) = 1 - e^(-(x/β)^α). Plug in x=0.5 to find the probability.

2. To find the probability that wave height exceeds its mean value by more than one standard deviation, calculate the mean (μ) and standard deviation (σ) of the Weibull distribution, and find the probability using CDF: 1 - F(μ + σ).

3. To find the median, use the quantile function: β(-ln(1 - 0.5))^(1/α).

4. To find the 90th percentile, use the quantile function again: β(-ln(1 - 0.9))^(1/α).

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Answer:

25.599

I think

Step-by-step explanation:

if its right can u please give me the brainilest

Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer:

50

Step-by-step explanation:

180°-130°=50°

The sum of the measure of arc RP and the angle SQP will be 180°. Then the measure of Angle SQP will be 50°.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

Chord RS is the diameter of Circle Q shown below.

If the measure of Arc RP = 130°.

Then the measure of Angle SQP will be

The sum of the measure of arc RP and the angle SQP will be 180°.

  ∠SQP + RP = 180°

∠SQP + 130° = 180°

          ∠SQP = 50°

Then the correct option is A.

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Answer:

  13.5, 17.5

Step-by-step explanation:

You have two numbers whose sum is 31 and whose difference is 4. The second number is larger.

Let x represent the larger number. Then the smaller is x-4, and their sum is ...

  x +(x -4) = 31

Simplifying the expression gives ...

  2x -4 = 31

  2x = 35 . . . . . add 4

  x = 17.5 . . . . . divide by 2

  x -4 = 13.5

The two numbers are 13.5 and 17.5.

__

Additional comment

As we have seen here, the larger number is half the total of the 'sum' and 'difference'. (31+4)/2 = 17.5. This is the generic solution to any "sum and difference" problem.

Given f(x) = 2 - 3x, we have to find f⁻¹(x).Explanation:To find the inverse function, we should first replace f(x) with y.

Hence, we have; y = 2 - 3x...equation 1We should then interchange the positions of x and y, and solve for y. We have; x = 2 - 3y 3y = 2 - x y = (2 - x)/3...equation 2Therefore, the inverse function of f(x) = 2 - 3x is given by f⁻¹(x) = (2 - x)/3.

From the given function, f(x) = 2 - 3x, we can determine its inverse function by following the steps stated below:

Step 1: Replace f(x) with y. We have;y = 2 - 3x...equation 1

Step 2: Interchange the positions of x and y in equation 1. This gives us the equation;x = 2 - 3y

Step 3: Solve the equation in step 2 for y, and then replace y with f⁻¹(x).We have; x = 2 - 3y 3y = 2 - x y = (2 - x)/3

Therefore, the inverse function of f(x) = 2 - 3x is given by f⁻¹(x) = (2 - x)/3. To confirm that f(x) and f⁻¹(x) are inverses of each other, we should calculate the composite function f(f⁻¹(x)) and f⁻¹(f(x)). If both composite functions yield x, then f(x) and f⁻¹(x) are inverses of each other.

Let us evaluate the composite functions below: f(f⁻¹(x)) = f[(2 - x)/3] = 2 - 3[(2 - x)/3] = 2 - 2 + x = x f⁻¹(f(x)) = f⁻¹[2 - 3x] = (2 - [2 - 3x])/3 = x/3Therefore, f(x) and f⁻¹(x) are inverses of each other.

In summary, we can determine the inverse function of a given function by replacing f(x) with y, interchanging the positions of x and y, solving the resulting equation for y, and then replacing y with f⁻¹(x).

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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The estimated distance between the park and your school is 5 miles.

Here,

To estimate the distance between the park and your school, we can use the Pythagorean theorem, as the distance forms a right-angled triangle with the school, apartment, and park as its vertices.

Let's label the points as follows:

S = School

A = Apartment

P = Park

Given:

School (S) is 4 miles east and 1 mile south of the apartment (A).

Park (P) is 3 miles east and 4 miles south of the apartment (A).

Now, we have two right-angled triangles:

The triangle formed by S, A, and P. This is the triangle for which we want to estimate the distance between the school and the park.

The triangle formed by A, S, and P.

Since both triangles share the side AS (4 miles east), we can use the Pythagorean theorem for the triangle ASP to find the distance between the school and the park.

The Pythagorean theorem states that for a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, let's represent the distance between the school and the park as d (the hypotenuse), and the other two sides as 3 miles (east) and 4 miles (south).

Using the Pythagorean theorem:

\(d^2 = 3^2 + 4^2\\d^2 = 9 + 16\\d^2 = 25\\\)

Now, take the square root of both sides to find d:

d = √25

d = 5

So, the estimated distance between the park and your school is 5 miles.

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there are total 64 is the answer if she puts 2 cookies in each packet

hope this helps u :)

Answer:

164 Cm^3

Step-by-step explanation:

Solution

V=

3

3

2

a

2

h

=

3

3

2

3

2

7

≈

163.6788

Answer:

rent for 5 weeks is $1,250

Step-by-step explanation:

2 weeks = 500

to find what one week is we must divide 500 by 2

500 ÷ 2 = 250

1 week = 250

now we can multiply 250 by the number of weeks

250 × 5 = $1,250

Answer:

STUV is a square

Step-by-step explanation:

segment length² = (x-x₁)² + (y-y₁)²

ST²: (-9 - 1)2 + (14 - 10)² = (-10)² + 4² = 116   (the rest follow this formula)

TU² = 116    TV² = 232    SU² = 232   SV² = 116   UV² = 116

ST = TU =SV = UV  (4 sides congruent)

TV = SU  (diagonal equal)

This is a square

Answer:

17

Step-by-step explanation:

Based on the 2nd equation, it seems that x=-3-3y.  I got that by subtracting both sides by 6y and then dividing both sides by 2.  Now  substitute that in place of x in the first equation.  (-3-3y)/3-2y=14.  Simplify that and get               -1-y-2y=14.  Add 1 to both sides and simplify.  You get -3y=15.  Divide both sides by -3 and get y=-5.  Now substitute -5 into the equation for x. x=-3-3(-5)

x=-3+15=12

So x=12 and y=-5.  Now do 12-(-5)=12+5=17

The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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