Please help with math

The measure of the arc BED is 218°

This means that we need to find the angle of the arc BED on the given circle.

We need to remember that the total angle on a circle is 360°.

We can also see that the angle between B and C is 52°, and the angle between C and D is 90° (that is what the little square means).

And the angle between B and D (measured counterclockwise) is the angle we want to find, and it will be equal to 360° minus the two angles above, then we will get:

measure of the arc = 360° - 52° - 90°

measure of the arc = 218°

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Answer:

2x and 4x i guess

Step-by-step explanation:

1. When the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

2.  The probability of detecting the change is 0.0495 or 4.95%.

To solve this problem, we'll use the concept of control limits and the sampling distribution of the sample means.

When the population mean shifts to 7.8: First, let's calculate the standard deviation of the sampling distribution, also known as the standard error (SE). The formula for SE is given by SE = σ / sqrt(n), where σ is the standard deviation of the population (1.0 ounce) and n is the sample size (47).

SE = 1.0 / sqrt(47) ≈ 0.145

Next, we need to determine the z-score corresponding to the lower and upper tails of the sampling distribution that capture 5% each. Since the total probability in both tails is 10%, each tail will have a probability of 5%. We can find the z-scores using a standard normal distribution table or calculator.

The z-score corresponding to the lower tail of 5% is approximately -1.645.

The z-score corresponding to the upper tail of 5% is approximately 1.645.

Now, let's calculate the lower and upper control limits:

Lower Control Limit (LCL) = Population Mean - (z * SE)

Upper Control Limit (UCL) = Population Mean + (z * SE)

LCL = 7.8 - (-1.645 * 0.145) ≈ 8.026

UCL = 7.8 + (1.645 * 0.145) ≈ 9.574

To find the probability of detecting the change, we need to calculate the area under the sampling distribution curve that falls beyond the control limits. In this case, we're interested in the area above the upper control limit.

Since the distribution is assumed to be normal, we can use the standard normal distribution's cumulative distribution function (CDF) to calculate this probability.

Probability of detecting the change = 1 - CDF(z-score for UCL)

Using the z-score for the upper control limit (UCL), we can calculate the probability.

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

When the population mean shifts to 8.6: We'll follow the same steps as before.

SE = 1.0 / sqrt(47) ≈ 0.145

The z-score corresponding to the lower tail of 5% is still approximately -1.645.

The z-score corresponding to the upper tail of 5% is still approximately 1.645.

LCL = 8.6 - (-1.645 * 0.145) ≈ 8.926

UCL = 8.6 + (1.645 * 0.145) ≈ 10.274

Probability of detecting the change = 1 - CDF(z-score for UCL)

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 8.6, the probability of detecting the change is also approximately 0.0495 (or 4.95%).

In both cases, the probability of detecting the change is 0.0495 or 4.95%.

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Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

The rectangular equation of the tangent line at θ = (3π/2) for the polar curve r = 5/(3 - cos(θ)) can be determined using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope of the tangent line, we need to differentiate the polar equation with respect to θ and evaluate it at θ = (3π/2). The slope (m) of the tangent line is given by dy/dx.

Let's calculate the slope (m):

r = 5/(3 - cos(θ))

Differentiating both sides with respect to θ:

dr/dθ = [d(5/(3 - cos(θ)))/dθ]

Using the quotient rule and chain rule, we can calculate dr/dθ as follows:

dr/dθ = [(-5sin(θ)(3 - cos(θ)) - 5*(sin(θ))*sin(θ)) / (3 - cos(θ))^2]

Substituting θ = (3π/2):

m = dy/dx = dr/dθ / (dθ/dx)

dθ/dx is the reciprocal of dx/dθ, which is 1/(dr/dθ) in this case.

Now we can find the slope (m) by substituting the values:

m = [-5sin(3π/2)(3 - cos(3π/2)) - 5*(sin(3π/2))*sin(3π/2)] / [(3 - cos(3π/2))^2]

Once you have the slope (m), you can substitute the point (3π/2, r) into the point-slope form of the equation to find the y-intercept (b) and write the equation of the tangent line.

To determine the rectangular equation of the tangent line at θ = (3π/2) for the given polar curve, you need to calculate the slope (m) using the derivatives and substitute the point into the point-slope form of the equation.

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The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4

Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.

It gives first term or terms of sequence and describes how term is related to previous term with an equation.

Looking at the graph ,

taking first two point  ,n = 1 and n = 2

At n = 1 , a(n) = 13

At n = 2 , a(n) = 9

so , 9 = 13 - 4

we can write it as,

a₂ = a₁ - 4

Hence , recursive formula for sequence :

aₙ₊₁ = aₙ - 4

bring aₙ to the left

=>  aₙ = aₙ₊₁ + 4 is required recursive formula

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Answer:

Step-by-step explanation:

The blue- dashed line:

39 is the hypotenuse.

blue line is the opposite.

opposite= Sin(43) x39

opposite= 26.6

Working out the x:

x is the opposite.

opposite= Tan(32) x26.6

opposite= 16.6

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side labeled x is 16.62 units.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

In ΔABD, using the trigonometric functions the trigonometric ratios can be written as,

sin(θ) = Perpendicular/Hypotenuse

sin(∠BAD) = BD/AB

sin(43°) = BD/39

sin(43°) × 39 = BD

BD = 26.598 units

Now, in ΔBDC, the trigonometric function can be written as,

tan(θ) = Perpendicular/Base

tan(∠CBD) = CD/BD

tan(32°) = x / 26.598 units

x = 26.598 units × tan(32°)

x = 16.62 units

Hence, the length of the side labelled x is 16.62 units.

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Answer:

D) The slope of the line is undefined

Step-by-step explanation:

A vertical line will have an undefined slope, because it does not run horizontally.

To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.

And, dividing anything by 0 will get you an undefined answer.

So, D is correct. the slope of the line is undefined

Answer:

the slope of the line is undefined

Step-by-step explanation:

i just took test

To find the inverse function on the fx-95ES PLUS calculator, you can follow these steps:

Press the "MODE" button and select "EQN" mode by pressing the corresponding number key.

Press the "SHIFT" button, followed by the "9" button to access the "FUNC" menu.

Use the arrow keys to scroll down to "INV" and press the "EXE" button.

Enter the function you want to find the inverse of using the calculator's keypad.

Press the "EXE" button to calculate the inverse function.

The calculator will display the inverse function on the screen. Note that the inverse function may not exist for all functions, and in some cases, you may need to restrict the domain of the original function to find its inverse.

(a) The statement "If a⋅x=b⋅x for all x, then a=b" is false. A counterexample can be given by choosing a and b to be parallel but with different magnitudes.

(b) The statement "If a×x=b×x for all x, then a=b" is true. It can be proven by contradiction, showing that if a and b are distinct, a×(a×b) is not equal to b×(a×b).

(a) The statement "If a⋅x=b⋅x for all x, then a=b" is false. A counterexample can be given by considering two vectors a and b that are parallel but have different magnitudes. For instance, let a = (1, 0, 0) and b = (2, 0, 0). It is clear that a⋅x = b⋅x for all x since the dot product only depends on the magnitude and direction of the vectors. However, a and b are not equal, so the statement is false.

(b) The statement "If a×x=b×x for all x, then a=b" is true. This can be proven by contradiction. Assume that a and b are distinct vectors. Since a×x=b×x for all x, we can choose x to be the cross product of a and b (x = a×b). Plugging this into the equation, we get a×(a×b) = b×(a×b). By the properties of the cross product, the left-hand side becomes zero, while the right-hand side is nonzero unless a and b are parallel. This contradiction implies that a and b must be equal, thus proving the statement to be true.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

Step-by-step explanation:

The smaller number would be 27. If the first number is 12 greater than the 2nd number and we have to make it equal to 66. Our smaller number would be 27 becuase if we add 12 to 27 that gives us 39. 39+27= 66. Hopefully that makes sense.

Based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

Chebyshev's Theorem states that for any given number k greater than 1, at least (1 - 1/k²) of the data values in a dataset will fall within k standard deviations of the mean.

In this case, we have a sample size of 225 bags and a mean weight of 353 gm with a standard deviation of 6 gm.

To find a lower bound for the number of bags that weigh between 335 and 371 gm, we need to calculate the range within k standard deviations of the mean.

First, let's find the number of standard deviations for the given range:

Lower range: (335 - 353) / 6 = -3

Upper range: (371 - 353) / 6 = 3

Since we want to find the lower bound, we consider the lower range and use its absolute value: |-3| = 3.

Now, we can use Chebyshev's Theorem to find the lower bound:

(1 - 1/k²) ≤ (1 - 1/3²) = 1 - 1/9 = 8/9

This means that at least 8/9 of the bags will fall within 3 standard deviations of the mean.

To find the lower bound for the number of bags, we multiply this probability by the sample size:

Lower bound = (8/9) * 225 = 200

Therefore, based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

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Observe the graph .

Y intercept=3

More:-

Slope intercept form

Where

The determinant of q is 4cos^2(0)sin^2(0) - 1.

The matrix q represents a combination of rotation and reflection. To find the determinant of q, we can use the following formula:

det(q) = det([ cs -sin0; sm0 cos0]) * det([ 1 - 2 cos2 0 -2 cos 0 sin 0; -2cos0sin0 1- 2sin2 0])

The first matrix represents a rotation by an angle of θ, where θ is the value of 0 in the given matrix q. The determinant of a rotation matrix is always 1, so we have:

det([ cs -sin0; sm0 cos0]) = cos^2(0) + sin^2(0) = 1

The second matrix represents a reflection along the line y = x tan(θ/2) - d/2. The determinant of a reflection matrix is always -1, so we have:

det([ 1 - 2 cos^2(0) -2 cos(0) sin(0); -2cos(0)sin(0) 1- 2sin^2(0)]) = -[1 - 2 cos^2(0) -2 cos(0) sin(0)][1 - 2 sin^2(0) -2 cos(0) sin(0)]

= -(1 - 4cos^2(0)sin^2(0) - 4cos^2(0)sin^2(0)) = -1 + 4cos^2(0)sin^2(0)

Therefore, the determinant of q is:

det(q) = det([ cs -sin0; sm0 cos0]) * det([ 1 - 2 cos^2(0) -2 cos(0) sin(0); -2cos(0)sin(0) 1- 2sin^2(0)])

= 1 * (-1 + 4cos^2(0)sin^2(0))

= 4cos^2(0)sin^2(0) - 1

So the determinant of q is 4cos^2(0)sin^2(0) - 1.

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Answer:

ummm ummm i dont know

Step-by-step explanation:

Answer:

B (-5,5)

Step-by-step explanation:

-12+a/2=-6

-7+a=-12

a=-12+7

a=-5

-3+b/2=1

-3+b=2

b=2+3

b=5

Answer:125

Step-by-step explanation: 5x5x5=125

Answer:

T: (-10,1)

S: (-10,-4)

U: (-5,1)

V:  (-5,-4)

Step-by-step explanation:

Translation means moving the object. Subtract 4 from each x value and add 1 to each y value.

Answer:

T' = (-10, 1)

S' = (-10, -4)

U' = (-5, 1)

V' = (-5, 4)

Step-by-step explanation:

      To do this, we will take each coordinate point, subtract four units from the x-value, and add one unit to the y-value.

T = (-6, 0) ➜ (-6 - 4, 0 + 1) ➜ T' = (-10, 1)

S = (-6, -5) ➜ (-6 - 4, -5 + 1) ➜ S' = (-10, -4)

U = (-1, 0) ➜ (-1 - 4, 0 + 1) ➜ U' = (-5, 1)

V = (-1, -5) ➜ (-1 - 4, -5 + 1) ➜ V' = (-5, 4)

Answer:

1 7/8 inches is 1.875 in decimal form.

I think this should be the answer

The equation sin(t) = 22 has no solution in the interval [0, 2π].

The equation sin(t) = 22 represents a trigonometric equation where the sine of an angle is equal to 22. However, the range of the sine function is [-1, 1], which means that the sine of any angle can only take values between -1 and 1, inclusive.

Since 22 is outside the range of possible values for the sine function, there are no angles in the interval [0, 2π] that satisfy the equation sin(t) = 22. Therefore, the equation has no solution in the given interval.

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Answer:

-4

Step-by-step explanation:

7-4=3

3-4=-1

-1-4=-5

The point, M, that is midway between P=(5,−8,−6) and Q=(-7,-2,-8) is

In geometry, the midpoint formula is an equation that determines the separation between two known coordinate locations at their halfway point.

The midway between the points P and Q is calculated using the method

Mid point = ((x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2)

Applying the method to the given points gives

P = (5, −8, −6) and Q = (-7, -2, -8)

M = ((5 + -7)/2, (-8 + -2)/2, (-6 + -8)/2)

M = (-1, -5, -7)

The coordinates of point M (-1, -5, -7) is the mid way between point  P=(5,−8,−6) and Q=(-7,-2,-8).

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Answer:

kgr5igv%6ovdr

Step-by-step explanation:

g7id24ohswegbj see ohsd

Answer:

hello! :) have a good day!

W = 9

Answer:

y=−9x and y=−4

Step-by-step explanation:

Answer:

y = - \(\frac{4}{3}\) x + 15

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{4}{3}\) , then

y = - \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (9, 3 ) into the partial equation

3 = - 12 + c ⇒ c = 3 + 12 = 15

y = - \(\frac{4}{3}\) x + 15 ← equation of line

hi have a nice day,❤️

Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.

Answer:

The caterpillars instead ate the cotton flowers and damaged cotton production.

Explanation:

Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.

But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.

~That's All Folks~

-Siascon

The area of the card is approximately 48 cm².

To find the area of the rectangular card, we need to know its length and width. Since we are given the height (4cm), we can consider the diagonal as the hypotenuse of a right-angled triangle, where the height is one side and the width is the other side. We can use the Pythagorean theorem to find the width.

Let's denote the width as x. According to the Pythagorean theorem, we have:

x^2 + 4^2 = (12.6)^2

Simplifying the equation:

x^2 + 16 = 158.76

x^2 = 142.76

x ≈ 11.94 cm (rounded to two decimal places)

Now that we have the width, we can calculate the area of the card by multiplying the width by the height:

Area = width × height

≈ 11.94 cm × 4 cm

≈ 47.76 cm²

≈ 48 cm² (rounded to one decimal place)

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Answer:

the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data

Step-by-step explanation: