where does f(x) and the line y=1 intersect?
​

Answer:

A

Step-by-step explanation:

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

-2x + 5 = 4

-2x = 4 -5

-2x = -1

-1(-2x = -1)

2x = 1

x = 1/2 or 0.5

The peak runoff rate (ft 3/s) for a storm that is likely to occur once every 5 years is approximately 34.08 ft3/s.

Here's how to solve the problem:

Given: Watershed area (A) = 296 ac Weighted curve number (C) = 73Time of concentration (tc) = 2.7 hr. Return period (T) = 5 years

Solution: First, use the formula for the average rainfall intensity (i) during the 5-year storm event: i = (0.2/T)^0.8 x C x (10 / (t c + 10))^(0.5)where i is in inches/hour.

Substitute the values :i = (0.2/5)^0.8 x 73 x (10 / (2.7 + 10))^(0.5)i = 0.784 in/hr.

Next, calculate the rainfall volume (V) for the 5-year storm event: V = A x i where A is in acres and i is in inches/hour. Convert the area from acres to square feet: A = 296 ac x 43,560 ft^2/ac A = 12,893,760 ft^2

Substitute the values: V = 12,893,760 ft^2 x (0.784 in/hr / 12 in/ft)V = 849,581 ft^3. Now, calculate the peak runoff rate (Q) using the formula :

Q = (C x V) / (3600 x t c )where Q is in ft3/s and t c is in seconds.

Convert the time of concentration from hours to seconds: t c = 2.7 hr x 3600 sec/hr = 9,720 sec.

Substitute the values :Q = (73 x 849,581 ft^3) / (3600 sec/hr x 9,720 sec)Q = 23.692 ft^3/s

Finally, adjust the peak runoff rate for the 5-year storm event using the formula:Q5 = Q x 1.21where Q5 is the peak runoff rate for the 5-year storm event.

Substitute the value:Q5 = 23.692 ft^3/s x 1.21Q5 = 28.68 ft^3/s

Rounding to two decimal places, the answer is approximately 34.08 ft3/s.

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If a white dwarf in a binary star system gains mass beyond the Chandrasekhar limit (approximately 1.4 solar masses), it undergoes a runaway nuclear reaction, causing it to collapse and explode in a Type Ia supernova.

A white dwarf is a dense stellar remnant that is left behind after a star has exhausted all its nuclear fuel and has shed its outer layers. In a binary star system, the white dwarf may gain mass from its companion star, either through accretion or a merger. If the mass of the white dwarf exceeds the Chandrasekhar limit, the gravitational forces become so strong that the electrons in the atoms are forced to combine with the atomic nuclei, forming neutrons. This process is called electron capture, and it releases a tremendous amount of energy.

The energy released is enough to ignite a runaway nuclear reaction, causing the white dwarf to collapse and explode in a Type Ia supernova. Type Ia supernovae are important cosmic events because they are used as standard candles to measure the distance to distant galaxies. These explosions are also believed to play a significant role in the chemical evolution of the universe, as they produce heavy elements such as iron and nickel that are scattered into the interstellar medium.

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Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Answer:

$8.80

Step-by-step explanation:

So because \(40\% = .4\), then the equation is \(.4 \times 22\) which equals \(8.8\), or $8.80.

Answer:

c = 20

Step-by-step explanation:

c + 72 = 92

subtract both sides by 72

c = 20

Answer:

C=20.

Step-by-step explanation:

Just subtract 72 from 92, you should get 20!

Hope it helps!

OwO

Answer:

All you have to do is multiply 5 and 3 by specific gaps in between new numbers then subtract 30. Keep doing that until you get evenly matched numbers.

Step-by-step explanation:

The answer is 15, it would take 15 seconds for Alan to reach Sasha.

The velocity and acceleration of the object after 3 seconds are;

Velocity = 63 m/s

Acceleration = 30 m/s²

We are given the function that represents the position of an object as;

s(t) = t³ + 6t² + 7 (meters)

v(t) = s'(t) = 3t² + 12t

a(t) = v'(t) = 6t + 12

Thus;

v(3) = 3(3²) + 12(3)

v(3) = 63 m/s

Likewise;

a(3) = 6(3) + 12

a(3) = 30 m/s²

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The volume of solid B is about 7π cubic meters, which is approximately 21.99 cubic meters when rounded to the nearest thousandth.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. Since solids A and B are similar, they have the same shape, but different sizes.

Let V₁ be the volume of solid A, and V₂ be the volume of solid B. The scale factor k from solid A to solid B is 1/4, which means that the dimensions of solid B are 1/4 of the dimensions of solid A.

We can find the radius and height of solid B by multiplying the radius and height of solid A by 1/4. Therefore, we have:

V₂ = π(r/4)²(h/4) = (π/16)rh²

We are given that V₁ = 112π cubic meters, so we can solve for rh²:

112π = πr²h

rh² = 112

Substituting into the formula for V₂, we get:

V₂ = (π/16)rh² = (π/16)(112) = 7π

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If the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

The probability of rejecting the null hypothesis by mistake, also known as a Type I error, is equal to the significance level, which is 0.05 in this case.

When the null hypothesis is true, the p-value represents the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value. If the p-value is less than 0.05, we would reject the null hypothesis.

Therefore, if the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

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Answer:

Step-by-step explanation:

Lets assume the number of germs as input and the number of chests as output value. We can see the relation is linear, so it would be:

Using (600, 2) and (1500, 5) points, we find the value of m and b:

So the equation is

or

Answer:

Your answer will be g = 300c.

Step-by-step explanation:

I did this on Khan! :)

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

The mean of a probability distribution, also known as the expected value, is a measure of central tendency that represents the average value of a random variable in the long run. It is calculated by taking the weighted average of all possible values that the random variable can take, with the weights being the probabilities of each value occurring.

In the case of a discrete random variable, the mean is calculated by multiplying each possible value by its probability and then summing the results. For a continuous random variable, the mean is calculated by integrating the product of the value and its probability density function over the entire range of possible values.

The mean is significant because it provides a measure of the central tendency of a probability distribution, which can be used to make predictions about future outcomes. It is also used in various applications, such as calculating the expected value of a financial investment or the expected number of occurrences of an event in a given time period.

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

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Answer:

greater

Step-by-step explanation:

0.71 is more than 0.5 and 30 seconds is 0.5 a minute?

I have no idea how you are comparing the numbers lol

Answer:

Step-by-step explanation:

(0, -9) and (3,3)

(3+9)/(3-0) = 12/3 = 4

y + 9 = 4(x - 0)

y + 9 = 4x - 0

y = 4x - 9

Answer: 56

Step-by-step explanation: Subtract upper quartile and lower quartile

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

39 - 30 = 9

Answer:

You didn'ttell us the question

Step-by-step explanation:

where is the question?

Answer:

id

Step-by-step explanation:

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.

calculation

urms=  \(\sqrt{\frac{3RT}{M} }\)

and

λ=h/murms

⟹urms=h/mλ⟹

 \(\sqrt{\frac{3RT}{M} }\)=h/mλ

72.2 = 148.17 / M

M = 148.17/72 ≈ 2

Consequently, M = 2 and the gas's molar mass is 2  kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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\(answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

\(length = 12ft\)

Step-by-step explanation:

Given that,

\(width =9 \frac{1}{2} = 9.5\)

Let's find the length

\(perimeter \\43 = 2(l + w) \\ 43= 2(l + 9.5) \\ 43 = 2l + 19 \\ 43 - 19 = 2l \\ 24 = 2l \\ \frac{24}{2} = \frac{2l}{2} \\ l = 12\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3y² + y - 10

Step-by-step explanation:

Assuming we're finding the area:

\((3y-5)(y+2)\\3y^2+6y-5y-10\\3y^2+y-10\)

Answer:

3y² + y - 10

Step-by-step explanation:

(3y -5) (y + 2)

3y² + 6y - 5y  - 10

3y² + y - 10

C) the equation can be written as:y = mx + b. D) The slope can be interpreted as a measure of the association between the use of marijuana and other drugs.

c) Write the equation you would use to estimate the percentage of teens who use Other Drugs from the percentage who have used Marijuana.The equation to estimate the percentage of teens who use Other Drugs from the percentage who have used Marijuana is given by the formula:y = mx + bwhere y represents the estimated percentage of teens who use Other Drugs and x represents the percentage of teens who have used Marijuana.

The slope, m, represents the proportion of teens who have used other drugs after using marijuana, and b represents the percentage of teens who use Other Drugs when the percentage who have used Marijuana is 0.

Therefore, the equation can be written as:y = mx + b

Where x represents the percentage of teens who have used Marijuana, m represents the proportion of teens who have used other drugs after using marijuana, and b represents the percentage of teens who use Other Drugs when the percentage who have used Marijuana is 0.

d) Explain in context what the slope of this line means.The slope of this line represents the proportion of teens who have used other drugs after using marijuana. That is, if a certain percentage of teens have used marijuana, the slope of the line estimates the percentage of teens who have used other drugs.

In other words, the slope indicates how much more likely teens are to use other drugs after using marijuana. A positive slope would indicate that more teens use other drugs after using marijuana, while a negative slope would indicate that fewer teens use other drugs after using marijuana.

The slope can be interpreted as a measure of the association between the use of marijuana and other drugs.

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Answer:

Step-by-step explanation:

The graph includes all point to the left from point 2, same point included

Answer:

x <= 2

Step-by-step explanation:

x - (5 - 3x) <= 2x - 1

x - 5 + 3x <= 2x - 1

4x - 5 <= 2x - 1

4x <= 2x + 4

2x <= 4

x <= 2

Best of Luck!

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We know,

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Answer: -4

Step-by-step explanation:

5 - (x - 2)²=

5 - (-1 - 2)²=

5 - (-3)²=

5 - (3)²=

5-9=-4

Answer:45

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.

Knowing this we can then subtract

90° - 27° = 63°

Answer:

63

Step-by-step explanation:

The measure of a right angle is always 90 so

90-27=63