Given f(x)=-x-1, solve for x when f(x)=6.

Answer:

What mutliplies to get 49, but adds to get 14? 7 and 7!

X=-7 and X=7

X is both because -7 times -7 is also 49!

The deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

To calculate the deflection angle of light by a white dwarf star, we can use the formula derived from Einstein's theory of general relativity:

\(\[\theta = \frac{4GM}{c^2R}\]\)

where:

\(\(\theta\)\) is the deflection angle of light,

G is the gravitational constant \((\(6.67430 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),\)

M is the mass of the white dwarf star,

c is the speed of light in a vacuum \((\(299,792,458 \, \text{m/s}\)),\) and

(R) is the radius of the white dwarf star.

Let's calculate the deflection angle using the given values:

Mass of the white dwarf star, \(\(M = 1.2 \times \text{solar mass}\)\)

Radius of the white dwarf star, \(\(R = 0.0088 \times \text{solar radius}\)\)

We need to convert the solar mass and solar radius to their respective SI units:

\(\(1 \, \text{solar mass} = 1.989 \times 10^{30} \, \text{kg}\)\(1 \, \text{solar radius} = 6.957 \times 10^8 \, \text{m}\)\)

Substituting the values into the formula, we get:

\(\[\theta = \frac{4 \times 6.67430 \times 10^{-11} \times 1.2 \times 1.989 \times 10^{30}}{(299,792,458)^2 \times 0.0088 \times 6.957 \times 10^8}\]\)

Evaluating the above expression, the deflection angle \(\(\theta\)\) is approximately equal to 0.00108 radians.

To convert radians to arcseconds, we use the conversion factor: 1 radian = 206,265 arcseconds.

Therefore, the deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

Hence, the deflection angle is approximately 223.03 arcseconds.

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Answer:

12 servings

Step-by-step explanation:

since each serving is 1/2 a cup and if the bag of veggies contains 6 cups, then if you divide 6/0.5 it is 12 servings

Answer:

12 servings in a bag

Step-by-step explanation:

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

----------------------------------------------------

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

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Answer: 70/13

Step-by-step explanation:

Slope = rise/run

(r-5)/(6-r) = 5/8

30-5r = 8r-40

70 = 13r

70/13 = r

The indicated side of the right triangle is \(44\sqrt{2} =\frac{88}{\sqrt{2} }\).

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says:\(hypotenuse^2=(leg_1)^2+(leg_2)^2\). And the main trigonometric ratios are:

\(sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\\)

The question asks to find one of the legs (y). Then, you can find y applying the trigonometric ratio (sin 45°).

\(sin(45\°)=\frac{y}{88}\)

Like sin45° is equal to \(\frac{\sqrt{2} }{2}\), you have

\(\frac{\sqrt{2} }{2} =\frac{y}{88}\\ \\ 2y=88\sqrt{2} \\ \\ y=44\sqrt{2} \\ \\ Thus\\ \\ y=\frac{88}{\sqrt{2}}\)

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Answer: 88\(\sqrt{2}\)

Step-by-step explanation:

hope it helps

Answer:184161240771

Step-by-step explanation:

Calculator

Answer:

184,161,240,771

Step-by-step explanation:

have a nice day!

₊˚ ‧꒰ mei ꒱ ‧₊˚

There's approximately a 48.66% chance that fewer than 1/3 of the bees are located at least 2 m from the point of release after 1 hour.

Here, we need to work with an exponentially distributed random variable.

(a) To find the expected proportion under the given conditions, we need to calculate the expected value (E) for an exponentially distributed random variable. The formula for the expected value of an exponential distribution is:

E(X) = 1/λ

In this case, λ (lambda) is given as 2. Plugging the value into the formula, we get:

E(X) = 1/2 = 0.5

So, the expected proportion of the swarm located at least 2 m from the point of release after 1 hour is 0.5.

(b) To find the probability that fewer than 1/3 of the bees are located at least 2 m from the point of release after 1 hour, we'll use the cumulative distribution function (CDF) of the exponential distribution:

P(X ≤ x) = 1 - e^(-λx)

Here, we want to find the probability P(X ≤ 1/3). Plugging the values into the formula, we get:

P(X ≤ 1/3) = 1 - e^(-2 * (1/3)) = 1 - e^(-2/3)

Calculating the result:

P(X ≤ 1/3) ≈ 1 - 0.5134 = 0.4866

So, there's approximately a 48.66% chance that fewer than 1/3 of the bees are located at least 2 m from the point of release after 1 hour.

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Answer:

-108 is the correct answer

Step-by-step explanation:

=-9(10+2)

=-90+(-18)

=-90-18

= -108

Answer:

It's D or -108 (✿◠‿◠)

Answer:

Step-by-step explanation:

1/2 ton is 1000 pounds

1/4 pound is 4 ounces

2 1/2 pounds is 40 ounces

Answer:

Degree 5

Step-by-step explanation:

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5

To determine the most appropriate comparison of the spreads let's analyze the statements provided:

A. The median for brand A, $75, is greater than the median for brand B, $80.

This statement compares the medians of the two brands. However, the question is asking for a comparison of spreads, not medians.

B. The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

This statement compares the interquartile ranges (IQRs) of the two brands. The IQR represents the spread of the middle 50% of the data. If brand A has an IQR of $10 and brand B has an IQR of $20, it means that the range between the first quartile (Q1) and the third quartile (Q3) for brand A is smaller than that of brand B.

C. The interquartile range (IQR) for brand A, $20, is less than the IQR for brand B, $75.

This statement incorrectly states the IQR values for both brands. It states that the IQR for brand A is $20, which contradicts the information given in option B, and the IQR for brand B is $75.

D. The interquartile ranges (IQRs) for brands A and B are both $20.

This statement assumes that both brands have the same IQR value of $20. However, the box plots do not provide any information to support this claim.

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Answer:

  1 3/8 pints

Step-by-step explanation:

  (2 3/4 cups) × (1 pint)/(2 cups) = 1 3/8 pints

_____

Units conversion is conveniently done using a fraction that is equal to 1: its numerator and denominator express the same quantity, but in different units. The units are chosen so that after unwanted units are cancelled, you end up with the desired units.

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

It's D: 16

Step-by-step explanation:

Answer:

m<1=115°(Alternative interior Angles)

Answer:

2) 50° 3) 55°

Step-by-step explanation:

2) 120 + 10 + x = 180, x = 50

3) 35 + 90 + x = 180, x = 55

Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

In Experiment IV, after the subject responds 'yes' to the ascending series of Semmes-Weinstein filaments, additional filaments should be applied to determine the exact threshold level of tactile sensitivity.

In Experiment IV, the objective is to determine the subject's threshold level of tactile sensitivity. The ascending series of Semmes-Weinstein filaments is used to gradually increase the intensity of tactile stimulation. When the subject responds 'yes,' it indicates that they have perceived the tactile stimulus. However, to accurately establish the threshold level, additional filaments need to be applied.

By applying additional filaments, researchers can narrow down the range of tactile sensitivity more precisely. This step helps in identifying the exact filament thickness or force needed for the subject to perceive the stimulus consistently. It allows researchers to determine the threshold with greater accuracy and reliability.

The number of additional filaments to be applied may vary depending on the experimental design and the desired level of precision. Researchers often use a predetermined protocol or a staircase method, where filaments of incrementally increasing intensities are presented until a predetermined number of consecutive 'yes' responses or a consistent pattern of 'yes' and 'no' responses is obtained.

In conclusion, in Experiment IV, after the subject initially responds 'yes,' additional filaments are applied to pinpoint the precise threshold level of tactile sensitivity. This helps researchers obtain accurate data and understand the subject's tactile perception more comprehensively.

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Sample Values are estimated from known population is true about sampling in statistics.

In statistics, sampling refers to the process of selecting a subset of individuals or objects from a larger population. The sample is used to estimate or make inferences about the population from which it was drawn. Option A is false because as the sample size increases, the variability generally decreases as the sample better represents the population. Option B is false because sample statistics (such as the sample mean or sample standard deviation) vary from sample to sample and are estimated from the data in the sample. Option C is true because sample values (such as the sample mean or sample proportion) are estimated from the known population values, and this estimation process involves sampling error due to random variability in the sample.

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True. depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception

The dequeue method of a LinkedQueue class throws a QueueUnderflowException when the queue is empty, and the user attempts to remove an element from it. This is because removing elements from an empty queue is not allowed and violates the basic properties of a queue data structure. Therefore, depending on the circumstances, the dequeue method may throw a QueueUnderflowException to indicate that the operation is invalid.

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In this measurement, No. Brian is estimating the length, and estimation can introduce a lot of errors.

Finding an estimate or approximation, also known as a value that may be used for a purpose even though the input data may be partial, ambiguous, or unstable, is the process of estimation.

The most accurate method is to remove the meter immediately, mark two points at each end, and then measure another meter orthogonally at both ends of the first reading to create a square region that is 1m X 1m.

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Answer:

C

Step-by-step explanation:

The sum of 4x - 3 and 2x + 5 = 6x + 2.

Divide the sum by 2.

The answer is 3x + 1.

Answer:

Step-by-step explanation:

Refer the attachment

Answer:

752.5 in³

Step-by-step explanation:

  Rectangular prism:

            l = 10 in ; w = 7 in ; h = 8 in

   \(\boxed{\text{Volume of rectangular prism=l*w*h}}\)

                                                = 10 * 7 * 8

                                                = 560 in³

Half cylinder:

Diameter of the cylinder will be equal to the width of the rectangular prism.

       r = 7/2 = 3.5 inches ; h = 10 in

\(\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}\)

                                       \(\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3\)

Volume of composite figure = 560 - 192.5

                                               = 752.5 in³

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

Answer down bellow!

Step-by-step explanation:

y-intercept:(0,-1)

Also, the slope is 3!