Solve the quadratic equation by completing the square.
x²+12x+33=0

Answer:

the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Step-by-step explanation:

Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so

5(V - v) = 4000

V - v = 800    (1)

For upwind movement, since the plane travels 3000 km in 5 hours, so

5(V + v) = 3000

V + v = 600 (2)

adding equations (1) and (2), we have

V - v = 800

+

V + v = 600

2V = 1400

V = 1400/2 = 700 km/h

subtracting equations (2) from (1), we have

V - v = 800

-

V + v = 600

-2v = 200

v = -200/2 = -100 km/h

So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h

Answer:

3 units to the right, 5 units down

Answer:

B is the closet to pi hsiebfjwjgsbe9fbe

The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."

What is significance level?

A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).

In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.

We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.

However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.

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Answer:

The Pink ones since they are the lowest amount of them.                         PLEASE MARK THE BRAINILEST

Answer:

The pink color gumballs

The area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ) is 294π square units.

To find the area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ), we need to evaluate the integral for half of the area and then double the result.

The curve of the limacon has a loop when 0 ≤ θ ≤ π, so we integrate from 0 to π. The area can be calculated as follows:

A = 2 ∫₀^π 1/2 r² dθ

Using the equation for r given, we can substitute and simplify:

A = 2 ∫₀^π 1/2 (7 - 14sin(θ))² dθ

A = 2 ∫₀^π 1/2 (49 - 196sin(θ) + 196sin²(θ)) dθ

A = ∫₀^π (98 - 392sin(θ) + 392sin²(θ)) dθ

Using the trigonometric identity 1 - cos(2θ) = 2sin²(θ), we can simplify further:

A = ∫₀^π (98 - 392sin(θ) + 196 - 196cos(2θ)) dθ

A = ∫₀^π (294 - 392sin(θ) - 196cos(2θ)) dθ

Integrating with respect to θ:

A = [294θ + 392cos(θ)sin(θ) + 98sin(θ)]₀^π

Evaluating at the limits of integration, we get:

A = [294π + 0 + 0] - [0 + 392cos(0)sin(0) + 98sin(0)]

A = 294π - 0 - 0 = 294π

Therefore, the area inside the loop of the limacon r = 7 - 14sin(θ) is 294π square units.

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Answer: C

Step-by-step explanation:

The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.

Answer:

B.

Step-by-step explanation:

you need to cancel 18 out.

Answer:

a).

\( \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree\)

since sine is in the 2nd quadrant, other angle = 180° - x:

\(2x = 45 \degree, \: 135 \degree\)

we must make two rotations since it's a double angle:

\(2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ \)

divide each angle by 2:

\(x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ \)

Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}

b).

\( \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) \)

since ans is negative, we take the quadrants of cosine and tangent:

\(3z = 204.8\degree, \: 335.2\degree \)

we make three rotations:

\(3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ \)

answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}

Answer:  

∠A= 60

Step-by-step explanation:  

SinA = 13/15  

SinA = 0.866  

A = inverse sin (0.866)  

A = 59.997

A = 60

Answer:

x≈50.96°

Step-by-step explanation:

\(cot(x)=\frac{15}{18.5} \\cot(x)=\frac{1}{tg(x)} \\tg(x)=\frac{1}{cot(x)} \\tg(x)=\frac{1}{\frac{15}{18.5} } =\frac{18.5}{15} \\x=50.9644871\)

x≈50.96°

Answer:

3,332 meters

Step-by-step explanation:

The computation is shown below:

Given Data:

x = 3 m

h1 = 1.6 m

h2 =?

y: flagpole height

As we know that

y = h1 + h2

tanα = opposite leg ÷ adjacent leg

tan α = h2 ÷ x

h2 = tanα × x

h2 = tan30 ° × 3 m

h2 = 1,732 m

So, The height of the flagpole is:

y = 1.60 m + 1.732 m

y = 3,332 m

Domain: The domain of the function \(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4\)  is all real numbers.

Range: The range of the function \(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4\) is all real numbers.

Relative Maximum: There is no relative maximum for the function \(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4.\)

Absolute Minimum: The absolute minimum for the function\(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4\) needs to be determined by finding the critical points and analyzing the behavior of the function.

Relative Minimum: There is no relative minimum for the function\(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4.\)

End Behavior: As x approaches negative or positive infinity, the function \(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4\) approaches positive infinity.

Increasing Intervals: The function f\((x) = x^4 - 4x^3 + 3x^2 + 4x - 4\) is increasing on the entire real number line.

Decreasing Intervals: The function \(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4\) does not have any decreasing intervals.

Let's analyze the characteristics of the function\(f(x) = x^4 - 4x^3 + 3x^2 + 4x - 4.\)

Domain: The function is a polynomial, so its domain is all real numbers, which means there are no restrictions on the possible values of x.

Range: To determine the range, we need to analyze the behavior of the function.

As x approaches negative infinity, the leading term x^4 dominates, so the function becomes increasingly positive.

As x approaches positive infinity, the leading term x^4 also dominates, but in this case, it becomes increasingly positive.

Therefore, the range of the function is all real numbers.

Relative Maximum: To find the relative maximum, we need to find the critical points of the function by taking the derivative and setting it equal to zero:

\(f'(x) = 4x^3 - 12x^2 + 6x + 4 = 0\)

Solving this equation will give us the critical points.

However, since the equation is a cubic, it may not have a simple solution.

We can use numerical methods or graphing technology to estimate the approximate values of the critical points and determine whether they correspond to a relative maximum.

Absolute Minimum: Since the range of the function is all real numbers, there is no absolute minimum.

The function does not have a lower bound.

Relative Minimum: Similarly, since the range is all real numbers, there is no relative minimum.

The function does not have a local minimum.

End Behavior: As mentioned earlier, as x approaches negative infinity, the leading term \(x^4\) dominates, causing the function to approach positive infinity.

As x approaches positive infinity, the leading term \(x^4\) also dominates, and the function approaches positive infinity.

Therefore, the end behavior of the function is that it approaches positive infinity as x approaches negative or positive infinity.

Increasing Intervals: To find the increasing intervals, we can look at the sign of the derivative.

If the derivative is positive, the function is increasing.

If the derivative is negative, the function is decreasing.

Decreasing Intervals: Similarly, to find the decreasing intervals, we can look at the sign of the derivative.

If the derivative is negative, the function is decreasing.

To provide more specific information about the relative maximum, relative minimum, increasing intervals, and decreasing intervals, we need to find the critical points and analyze the behavior of the function between those points.

If you have a specific interval in mind, I can help you analyze the function within that interval.

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Answer:

30

- Note: all 5 triangles are the same

Step 1: calculate the area of 1 triangle

This can be done by multiplying two of the sides together. Since each one is a 4x3, the area of two triangles together is 12 (because it makes up a rectangle).

Then divide it in half to get an individual triangle. So, 12 divided by 2 is 6, meaning the area of each triangle is 6 (whatever unit you`re measuring by).

Then multiply it by how many triangles are in the entire shape. 6x5[triangles] is 30. The area is 30.

Answer:

true that you pretty but, dont date me bc i have a gf

Step-by-step explanation:

Answer:

true( I'm sowwie if this is wrong):(

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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a) Looking at the given graph, at 40 degrees Fahrenheit, the corresponding temperature in degree Celsius is: 4.5°C

b) At a temperature of 0 degree Fahrenheit, the corresponding temperature in degree Celsius is: -18°C

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Now, the given linear graph shows us that the x-axis is represented by degree Celsius while the y-axis is represented by degree farenheit.

a) Looking at the given graph, at 40 degrees Fahrenheit, the corresponding temperature in degree Celsius is: 4.5°C

b) At a temperature of 0 degree Fahrenheit, the corresponding temperature in degree Celsius is: -18°C

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b) False

The statement is incorrect. The geometric mean is not used to measure values over a period of time.

Rather, it is a mathematical measure used to calculate the central tendency of a set of numbers.

The geometric mean is found by taking the product of all the numbers in the set and then taking the nth root of the product, where n is the number of elements in the set.

The geometric mean is commonly used when dealing with quantities that grow exponentially, such as rates of return on investments or growth rates.

It provides a way to account for the compounding effect of the values in the data set. However, it is not specifically tied to measuring values over time.

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Answer: C, 2 2/8

Step-by-step explanation: To turn a mixed number into an improper fraction, multiply the whole number by the denominator. Then, add the numerator. So in this example it would be:

4 3/8 = 35/8

2 1/8 = 17/8

Now, since the denominators are equivalent, all we need to do is subtract the numerators.

35/8 - 17/8 = 18/8

The answer needs to be changed back to a mixed number. For this problem, there is an easy way to do this.

18/8 = 8/8 + 8/8 +2/8, which as a mixed number would be 2 2/8.

So the correct choice would be (C).

Answer:

B,C,E

Step-by-step explantion

plz mark brainliest if correct

Answer:

The person above me is correct the answer is B.C.E  Give them brainliest!

Proof

The point on the terminal side of the angle is (1,-1). The distance from the origin to (x,y) is r = sqrt(2). The smallest negative angle (in terms of the absolute value of its measure) that is coterminal with the given angle is 10°. The correct graph of the angle in the standard position is (c).

The given angle in standard position is shown below: (a) To determine the correct graph of the angle in standard position, consider the quadrant in which the terminal arm lies. As shown in the figure below, the terminal arm lies in the fourth quadrant, where x is positive and y is negative, indicating that the angle is between 270° and 360°, or between 0° and -90° in the fourth quadrant.

Graph (c) is the correct graph for the given angle in the standard position. (b) The point on the terminal side of the angle is given as (x,y) = (1,-1).

(c) The distance from the origin to (x,y) is the hypotenuse of the right-angled triangle formed by the terminal arm and the x and y-axes. Using the Pythagorean theorem, the length of the hypotenuse is found as: \(r_2 = x_2 + y_2 r_2 = 12 + (-1)2r_2 = 2r = \sqrt(2)\)

(d) The smallest negative angle (in terms of the absolute value of its measure) that is coterminal with the given angle can be obtained by subtracting 360 from the given angle until the result is a negative angle between -360° and 0°. 360° - 350° = 10° 10° is the smallest negative angle that is coterminal with 350°.

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Answer:

c + p <= 20

2c >= p

Step-by-step explanation:

We can declare our variables as:

c = pounds of chicken

p = pounds of pork

The total meat can be expressed as c + p, and at most signifies that the family needs 20 pounds or less. Putting this together, one equation becomes c + p <= 20.

The family additionally wants at least 2 * c as p, which means that 2*c is greater than or equal to p, or 2c >= p.

hope this helps :)

The measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

1

If two secant lines intersect outside a circle, the measure of the angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

In the given diagram, we can see that the intercepted arcs are 96° and 140°. Therefore, the measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

Answer: 22

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Answer:

40 degrees

Step-by-step explanation:

- All internal angles of a triangle add up to 180 degrees.

- A right angle is 90 degrees.

90+50=140

subtract 140 from 180, which is 40 degrees.

Based on the information given in the problem, if you consider deposits as positive numbers and extractions as negative ones, you have the following expressions:

- Bill took $9.50

- 9.50

- Larry deposited twice the amount Bill took:

2*(9.50) = +19.00

- Chris deposited four times as much as Larry did:

4*(19.00) = +76.00

- Melinda took half the amount that Chris deposited:

- 1/2 * (76.00) = - 38.00

- Eddie took 9.50 less than Melinda:

- ( 38.00 - 9.50) = - (28.50) = -28.50

Then, by considering the signs of the different amounts of money you obtain:

-9.50 + 19.00 + 76.00 - 38.00 - 28.50 = 19.00

Hence, you can conclude that the amount of money in the safe increases by $19.00

The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.

The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.

As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.

This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.

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