If h(x) - V54f(x), where f(1) -5 an1) - 2, find h'(1).

Answer:

3.5

Step-by-step explanation:

The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.

In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.

To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).

For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:

P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12

Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.

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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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The inequality that represents the years before emoji were introduced is y < 1997.

To describe the years before emoji were introduced, we can use the inequality:

y < 1997

In this inequality, "y" represents the number of years before 1997. The symbol "<" means "less than," indicating that "y" should be a year prior to 1997 for the statement to be true.

This inequality restricts the possible values of "y" to any year before 1997.

For example, if we substitute "y" with the value 1990, the inequality would be true:

1990 < 1997

This statement is true because 1990 is indeed less than 1997. However, if we substitute "y" with a value after 1997, such as 2000, the inequality would be false:

2000 < 1997

This statement is false because 2000 is not less than 1997.

Therefore, any value of "y" that satisfies the condition y < 1997 represents a year before emoji were introduced.

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Answer:

y=60 degrees

x=90 degrees

Step-by-step explanation:

If you look at x, you can tell by it's angle that it is 90 degrees. A square has 4 sides with 90 degrees on each side, that angle is 1/4 of a square, making it a 90 degree angle, and a triangle has 3 sides, all 60 degrees, if you look at y, you can see that angle is 1/3 of a triangle, giving it a 60 degree angle.

Hope this helps!

Answer:

1)b=0.153846

2)x > -15/2

Step-by-step explanation:

I used this site called math-

way

Answer:

21.75

Step-by-step explanation:

Linear factor means the ratio between the current shape to the transfiormed one. 4:1 means that the current shape is four times larger than the transformed one, meaning that the way to find the transformed shape, we must divide the current shape of 87 by 4, giving us 21.75.

Answer:

You could solve this equation by referring to the quadratic equation

x=-5+/-√17/2

Step-by-step explanation:

To convert 123.60' into centesimal system, we need to first convert minutes to decimal degrees.

FORMULA:   \(decimaldegrees= degrees+ \frac{minutes}{60}+\frac{seconds}{3600}\)

Therefore, the angle 123.60' is approximately equal to 136.68 centesimal degrees.

Answer:

brand b is the better buy, brand a unit price is 0.0427, and brand b is 0.0346

Step-by-step explanation:

hope it helped :)

Answer:

(1/3)x + 3 >= 3

<=> (1/3)x >= 0

<=> x >= 0

=> The only value from set satisfies, that is 0.

Hope this helps!

:)

Answer:

0

Step-by-step explanation:

⅓x + 3 》3

⅓x 》0

x 》0

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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An angle measurement, m∠BOC = 60° degrees where O is the center of the corcle.

What is an angle?

Since the ΔABC has three similar sides, we know that it is an equilateral triangle, meaning that all three angles are equal and each angle measures 60°.

Since A, B, and C are points on a circle with O as the center, we know that each of the distances OA, OB, and OC is equal to the radius of the circle.

Let's call this radius r.

Since ΔABC is equilateral, we know that each side has length r. We can also draw radii from the center O to points A, B, and C to form three congruent triangles AOB, BOC, and COA, each with two sides of length r and one angle of 60°.

Since the sum of the angles in a triangle is 180° degrees, each of the other two angles in each of these congruent triangles must measure 60° as well.

Thus, we see that ∠BOC is one of the angles in the isosceles ΔBOC, which has two angles of 60° and a third angle x, which we want to find.

We can use the fact that the sum of the angles in a triangle is 180° to find x:

x + 60 + 60 = 180

Simplifying, we get:

x = 60

Therefore, angle BOC measures 60°

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Complete question is:  m∠BOC = 60° degrees where O is the center of the corcle.

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

Answer: 42

Step-by-step explanation: 7+7+7+7+7+7

Answer:

147 square feet.

Step-by-step explanation:

Basically you find the triangle’s area 7 x 7 / 2 = 24.5

two triangle = 49

total area = 196

subtract the two triangles from total area

196-49=147

Answer:

Yea it has to be 8

Step-by-step explanation:

To determine whether the given series converges or diverges, we need to analyze the behavior of the terms as n approaches infinity.

The series [infinity] n − 1 n 5n n = 1 can be written as Σ (n - 1) / (\(n^5\)) from n = 1 to infinity.

To analyze the convergence or divergence of this series, we can use the Limit Comparison Test. Let's consider the series Σ (n - 1) / (\(n^5\)) and compare it to the series Σ 1 / (\(n^4\)).

By taking the limit as n approaches infinity of the ratio of the terms, we have:

lim (n → ∞) ((n - 1) / (\(n^5\))) / (1 / (\(n^4\)))

= lim (n → ∞) (n - 1) / n

= 1.

Since the limit is a finite nonzero value, the series Σ (n - 1) / (\(n^5\)) and Σ 1 / (\(n^4\)) have the same convergence behavior.

Now, we know that the series Σ 1 / (\(n^4\)) is a p-series with p = 4, and it converges because p > 1.

Therefore, by the Limit Comparison Test, we can conclude that the series [infinity] n − 1 n 5n n = 1 converges.

In conclusion, the given series converges.

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Answer:

-3

Step-by-step explanation:

h(x)=1/2x+3

h(-12)=1/2(-12)+3

h=-3

Answer:

x = \(\sqrt{3}\)

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : \(\sqrt{2}\)

in this problem we can use 'x' in place of 1 and \(\sqrt{6}\) in place of \(\sqrt{2}\) to create a proportion like this:

1/x = \(\sqrt{2}\)/\(\sqrt{6}\)

cross-multiply to get:

\(\sqrt{2}\)·x = \(\sqrt{6}\)

x = \(\frac{\sqrt{6}}{\sqrt{2}}\)

x = \(\sqrt{3}\)

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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Answer:

its a

Step-by-step explanation:boo

Answer: it’s $9 per pound

Step-by-step explanation:

Answer:

no its equal

Step-by-step explanation:

Answer:

4 hours is equal to 14,400 seconds

Step-by-step explanation:

4*60=240

240*60=14400

Answer:

\(J' = (4,-3)\)

Step-by-step explanation:

Given

\(J = (3, 4)\)

\(K =(6,4)\)

\(L = (8, 1)\)

\(M = (1,1)\)

\(Rotation = 270CCW\)

Required

Determine the new coordinate of J

From rules of rotation,

When a point (x,y) is rotated 270 degrees CCW;

The new point becomes (y,-x)

Considering point J

\(J = (3, 4)\)

This means

\((x,y) = (3,4)\)

Where \(x = 3\) and \(y = 4\)

Using the above rotation rule of

\((x,y) -> (y,-x)\)

The coordinates of J' becomes

\(J' = (4,-3)\)

Answer:

Step-by-step explanation:

this doesnt make snese\

The factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

For the polynomial x³ - 7x² - 16x + 112, the following statements are true:

1. The factors of the polynomial are (x - 4)(x - 4)(x + 7).

2. The polynomial is completely factored.

To factor the polynomial completely, we can use different factoring techniques such as grouping, factoring by grouping, or synthetic division.

In this case, we observe that the number 4 is a root of the polynomial since when we substitute x = 4 into the polynomial, we get zero.

Using synthetic division or long division, we can divide the polynomial by (x - 4) twice to obtain the factored form (x - 4)(x - 4)(x + 7).

Hence, the factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

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For the two supplementary angles given, the value of x is 30. Two angles are called supplementary when their measures add up to 180 degrees.

If two angles are supplementary, their sum must equal 180 degrees. Supplementary angles are double of complementary angles.  So if m∠1=124° and

m∠2=(2x - 4)°, we can set up the equation:

124 + (2x - 4) = 180

Solving for x, we can isolate x by subtracting 124 from both sides:

2x - 4 = 56

Adding 4 to both sides:

2x = 60

Finally, dividing both sides by 2:

x = 30

So the value of x is 30

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Using the given data values of the sample we determined the sample mean is 14.3768 and sample standard deviations is 18.87158.

We have to construct the normal probability plot of the insulat- ing fluid breakdown time data at given. Estimated value of times in minutes of an insulat- ing fluid breakdown.

We can plot the given data in normal probability plot as given in above.

∑xᵢ = 0.19 + 0.78 + 0.96 + ---------+ 72.89

= 273.16

∑xᵢ² = (0.19)² + (0.78)²+ ----------+ (72.89)²

= 10337.6988

Sample Mean = X-bar = ∑xᵢ/n

= 273.16/19

= 14.3768

Sample variance = s²= (n∑xᵢ² - (∑xᵢ )² )/n(n-1)

= (19 ×10337.6988 - (273.16)²)/18×19

= 356.1367

now, Sample Standard deviations (σ) = √s²

= √356.1367

= 18.87158

Hence, the Sample mean is 14.3768 and Sample Standard deviations is 18.87158.

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A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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