Find a function of the form y = A sin(kx) or y = A cos(kx) whose graph matches the function shown below: 5 4 3 2 1 11 -10 -9 -8 -7 -6 -5 -4 -3/ -2 -1 2 3 6 7 8 -1 -2 -3 -5- Leave your answer in exact

The momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

For given question,

We need to calculate the momentum of a proton moving with a given speed.

We know that, the equation for relativistic momentum is,

\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)

We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg

(a) For particle moving with speed 0.010c

v = 0.010c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)

(b) For particle moving with speed 0.50c

v = 0.50c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)

(c) For particle moving with speed 0.90c

v = 0.90c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)

Now, we need to convert answers into MeV/c

1 MeV = 1.6 × 10^(-13) kg.m²/s²

⇒ 1  kg.m²/s² = 625 × 10^(10) MeV

1 c = 299,792,458 m/s

⇒ 1 m/s = 3.3356E-9 c

So, 1  kg. m/s = 1.8737259e+21 MeV/c

(a) For p = 5.016 × 10^(-21) kgms^{-1}

⇒ p = 5.016 × 10^(-21) × 1.8737259e+21

⇒ p = 9.398 MeV/c

(b) For p = 2.89 × 10^(-19) kgms^{-1}

⇒ p = 2.89 × 10^(-19) × 1.8737259e+21

⇒ p = 541.5 MeV/c

(c) For p = 23.73 × 10^(-19) kgms^{-1}

⇒ p = 23.73 × 10^(-19) × 1.8737259e+21

⇒ p = 4446.35 MeV/c

Therefore, the momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

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Answer:

Bags = 750 bags

Step-by-step explanation:

Volume of cuboid granary = \(Length * Width * Height\)

Volume = 12 * 6 * 5

Volume of cuboid granary = 360 m³

Volume of bag = 0.48 m³

No. of bags that can be stored in the cuboid granary = 360/0.48

Bags = 750 bags

The volume of the smaller cone is approximately \(5.5 cm^3\), rounded to the nearest tenth

If the cones are similar, then the ratio of the corresponding dimensions of the cones is the same.

Let's denote the height and radius of the smaller cone as h and r, respectively. Then, the height and radius of the larger cone are 3h and 2r, respectively.

Since the volumes of the cones are proportional to the cube of their radii and heights, we can write:

(volume of smaller cone) / (volume of larger cone) = \((r^2 * h) / ((2r)^2 * 3h)\)

Simplifying this expression, we get:

(volume of smaller cone) / (volume of larger cone) = 1/12

Since we are given that the volume of the larger cone is \(66 cm^3\), we can solve for the volume of the smaller cone as follows:

(volume of smaller cone) =\((1/12) * (66 cm^3) = 5.5 cm^3\)

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Using Pythagorean's theorem we can see that the measure of the other leg of the right triangle is 17.89 cm

By Pythagorean's theorem, we know that the sum of the squares of the legs is equal to the square of the hypotenuse.

Then if the other leg has a length x, we can write the equation:

\(x^2 + 2^2 = 18^2\)

Solving for x we get:

\(x = \sqrt{(18^2 - 2^2)}\)

Solving that square root we will get:

x = 17.89 cm

That is the measure of the other leg of the right triangle.

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1.

Original function

Left 3 units. Horizontal move is applied directly to the variable

Up 2 units. Vertical move is applied to whole function

reflect obout the y-axis, we change the sign of the variable, then

then right option is B

2.

then -f(x) is -y

then change the value of -y

So the point must be on the graph of -f(x) is

Then right option is D

two whose product is a trinomial is (x + 2)(x + 3) = x^2 + 5x + 6.

We are given two binomials: (x + 2) and (x + 3). To find their product, we need to multiply each term in the first binomial by each term in the second binomial. Let's go step by step:

Step 1: Multiply the first terms:

(x + 2) * (x + 3)

= x * x

= x^2

Step 2: Multiply the outer terms:

(x + 2) * (x + 3)

= x * 3

= 3x

Step 3: Multiply the inner terms:

(x + 2) * (x + 3)

= 2 * x

= 2x

Step 4: Multiply the last terms:

(x + 2) * (x + 3)

= 2 * 3

= 6

Step 5: Combine the like terms:

The terms 3x and 2x are like terms since they both have the variable x. To combine them, we add their coefficients:

3x + 2x

= 5x

Step 6: Write the resulting terms together:

Now, we put all the resulting terms together to form the trinomial:

x^2 + 5x + 6

Therefore, the product of (x + 2)(x + 3) is the trinomial x^2 + 5x + 6.

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Answer:

x = 18

Step-by-step explanation:

7x + 3x = 180° (corresponding angles, sum of adjacent angles on a straight line)

10x = 180

x = 18

Answer:

C

Step-by-step explanation:

\((2^7 \cdot 3^{-5}\cdot 9)^4\)

Use the Power of a Product Property, where:

\((ab)^n=a^nb^n\)

Therefore:

\((2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4\)

Answer: 30

Step-by-step explanation:

The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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\(B\cap C=\emptyset\\A\cup(B\cap C)=\{a,b,c,d,e,f\}\\A\cup B=\{a,b,c,d,e,f,g\}\\A\cup C=\{a,b,c,d,e,f,i,o,u\}\\(A \cup B)\cap (A \cup C)=\{a,b,c,d,e,f\}\)

As you can see \(A\cup(B\cap C)=(A \cup B)\cap (A \cup C)\)

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

the answer should be 2

Step-by-step explanation:

Hope this helped

It will take 11 posts for the number of followers to be equal

They will have 255 folllowers each on the 11th post

Here, we want to get the number of posts that would make them both have the same number of followers

For the first person, her number of followers after n post will be;

For the second person, her number of follwers after n post will be;

Since we have that, after n posts, the number of followers will be equal; we simply go on to equate the two

Thus, we have this as;

So after 11 posts, the number of follwers they each have will be the same

Now, we want to calculate the number of followes they have at the 11th post

We just need to substitute for n in any of the equations

Thus, we have that, the number of followers is';

Answer:

Step-by-step explanation:

here you go mate

step 1

-2x+3y-9-5y+2-4x  equation

step 2

-2x+3y-9-5y+2-4x  expand

-2x+3y+-9+-5y+2+-4x  

step 3

-2x+3y+-9+-5y+2+-4x  combine like terms

answer

-6x-2y-7

can i have brainliest if you dont mind?

613 Step-by-step explanation:

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer: There are 2 possible answers here. We know it can either be:

x - 5 = 25 or x - 5 = -25

For possibility number 1: Add 5 over to the other side to get x alone

x = 30

For possibility number 2: Add 5 over to the other side to get x alone

x = -20

We cannot conclude that listening to Mozart will lead to much higher scores on an IQ test based on the given information.

While the mean IQ scores were 1.2 points higher after listening to Mozart, the statistical significance of this difference depends on the chosen level of significance (alpha level) and the sample size. The p-value of 0.0004 indicates that if there is no difference in IQ scores between the Mozart and silent background conditions in the population, there is only a 0.04% chance of observing a sample mean difference of 1.2 points or larger. However, we would need to know the alpha level and sample size used in the study to determine if this is statistically significant at a practical level. Additionally, this experiment only shows a correlation between listening to Mozart and higher IQ scores, and cannot prove causation.

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The standard deviation of the sampling distribution of the sample mean would be approximately 2.8284

To determine the standard deviation of the sampling distribution of the sample mean, we will use the formula;

σ_mean = σ / √n

where σ is the standard deviation of the population that is 20 and n is the sample size (n = 50).

So,

σ_mean = 20 / √50 = 20 / 7.07

σ_mean  = 2.8284

The standard deviation of the sampling distribution of the sample mean is approximately 2.8284 it refers to that the sample mean would typically deviate from the population mean by about 2.8284, assuming that the sample is selected randomly from the population.

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The complete question is;

Another application of the sampling distribution of the sample mean Suppose that, out of a total of 559 full-service restaurants in Delaware, the number of seats per restaurant is normally distributed with mean mu = 99.2 and standard deviation sigma = 20. The Delaware tourism board selects a simple random sample of 50 full-service restaurants located within the state and determines the mean number of seats per restaurant for the sample. The standard deviation of the sampling distribution of the sample mean is Use the tool below to answer the question that follows. There is a.25 probability that the sample mean is less than

To find vectors w1 and w2 so that s will be the transition matrix from [w1, w2] to [v1, v2], you need to follow these steps:

1. First, arrange the given vectors v1 and v2 in matrix form, let's call this matrix V:
  V = |v1 v2|

2. Next, arrange the unknown vectors w1 and w2 in matrix form, let's call this matrix W:
  W = |w1 w2|

3. Your goal is to find the transition matrix S, which when multiplied with matrix W will give you matrix V:
  S * W = V

4. To find the transition matrix S, you need to multiply both sides of the equation with the inverse of matrix W:
  S = V * W⁻¹

5. Now, calculate the inverse of matrix W (W⁻¹), and multiply it with matrix V to obtain the transition matrix S.

Keep in mind that we cannot provide specific numerical values for w1 and w2 without knowing the values of v1 and v2. However, by following these steps, you can find the vectors w1 and w2 that correspond to the given transition matrix S from [w1, w2] to [v1, v2].  

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The correct statement regarding the balance increase on the compound interest account is given as follows:

C The balance in the account has grown only because interest was earned on the account.

The balance, using compound interest, after t years, is given by the exponential function presented as follows:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

From this equation, we can see that as long as there are no withdraws, the balance will increase due to interest, meaning that option C is correct in this problem.

In this problem, the increase in the balance was higher considering the annual deposits. However, the interest by itself guarantees the increases, which is what the problem asks.

The problem is given by the image shown at the end of the answer.

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Answer:

type is takes 80 minutes to type 24 pages in how long will he take to type 87 feet pages? Look into the solution. 24 pages are done in 80 minutes will write it down. Then 87 pages are is equals to X. So X is equals to 87 in 280 divided by 24. Then the answer will be to 290 minutes. In 290 minutes A type is will complete 87 pages.

Solution:

For typing 24 pages, time is required = 80 minutes

For typing 1 page, time is required = \frac{80}{24}\min utes

And for typing 87 pages , time is required

=\frac{80\times87}{24}=290\min utes

Answer:

82

Step-by-step explanation:

60 - 16/2 + 10(3)

60 - 16/2 + 30              multiplication

60 - 8 + 30                    division

 52 + 30                       addition or subtraction in order from left to right

 82

Answer: 5 hours

Step-by-step explanation:

It would take five hours for the car to drive 300 miles if it goes at 60 mph.

The best estimate for the percentage of the incoming freshman class who are math majors is 11.25%, with a standard error of 1.24%. The 95% confidence interval for the percentage of math majors is 9.27% to 13.23%.

The student conducted a poll of 400 students at random and found that 45 of them were math majors. This gives us a sample proportion of 0.1125, which is the best estimate for the population proportion of math majors. The standard error of the sample proportion is calculated as follows:

```

SE = sqrt(p*(1-p)/n)

```

where p is the sample proportion and n is the sample size. In this case, we have p = 0.1125 and n = 400, so the standard error is 0.0124.

The 95% confidence interval for the percentage of math majors is calculated as follows:

```

CI = p +/- 1.96*SE

```

where 1.96 is the z-score for a 95% confidence interval. In this case, we have CI = 0.1125 +/- 1.96*0.0124 = 0.0927 to 0.1323.

This means that we are 95% confident that the true percentage of math majors in the incoming freshman class is between 9.27% and 13.23%.

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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