The point (3, m) is a solution to the equation y = -0.5(2)* + 6.
What is the value of m?

The label covers 4,800 square centimeters of the wheel.

What is geometry?

Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures

The label covers the side of the cylinder, which has a surface area of 2πrh, where r is the radius of the circular base and h is the height of the cylinder.

Using the given values of r = 30 cm and h = 20 cm, we can calculate the surface area of the side of the cylinder as:

2 x (22/7) x 30 cm x 20 cm = 4,800 cm^2

Hence, the label covers 4,800 square centimeters of the wheel.

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The limits are  `(i + (3/2)j - k)`

We need to substitute the value of t in the function and simplify it to get the limits. Substitute `π/2` for `t` in the function`lim_(t→π/2)(cos(2t)i−4sin(t)j+2tπk)`lim_(π/2→π/2)(cos(2(π/2))i−4sin(π/2)j+2(π/2)πk)lim_(π/2→π/2)(cos(π)i-4j+πk).Now we have `cos(π) = -1`. Hence we can substitute the value of `cos(π)` in the equation,`lim_(t→π/2)(cos(2t)i−4sin(t)j+2tπk) = lim_(π/2→π/2)(-i -4j + πk)` Answer: `(-i -4j + πk)` Now let's evaluate the second limit`lim_(t→ln2)(2eti6e−tj−4e−2tk)`.We need to substitute the value of t in the function and simplify it to get the answer.Substitute `ln2` for `t` in the function`lim_(t→ln2)(2eti6e−tj−4e−2tk)`lim_(ln2→ln2)(2e^(ln2)i6e^(-ln2)j-4e^(-2ln2)k) Now we have `e^ln2 = 2`. Hence we can substitute the value of `e^ln2, e^(-ln2)` in the equation,`lim_(t→ln2)(2eti6e−tj−4e−2tk) = lim_(ln2→ln2)(4i+6j−4/4k)` Answer: `(i + (3/2)j - k)`

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Answer: B. 2∛3

Step-by-step explanation:

\(24^\frac{1}{3}\) is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Answer:

4:5

Step-by-step explanation:

Pls give brainliest

Answer:

the answer is B mark me brainliest please

—The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

Answer:

36 back

Step-by-step explanation:

100 - 64 = 36

Answer:

36¢

Step-by-step explanation:

1.00-0.64=0.36

Answer:

AC= 3.2

Step-by-step explanation:

two trianglesare similar

so AC : BC = DF : EF

AC : 4 = 3:2.4

4×3.2 = AC×4

12.8=4×AC >>>> (÷4) both sides

3.2= AC

Answer:

the number is 9

Step-by-step explanation:

x+6=13

x=13-6

=9

Answer:

x = 7

Step-by-step explanation:

x + 6 = 13

x + 6 - 6 = 13 - 6

x = 7

Answer:

480 ft2

Step-by-step explanation:

You multipy 4 by 2 by 2 by 10 by 3 and you get 480.

Hope this helps :)

Step-by-step explanation:

volume of the figure = 96 ft ³

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

Step-by-step explanation:

(-2g+7)-(g+11)

-2g+7-g-11

-3g-4

The first step is to describe the method to take

To solve the system of equations 4x + 2y = 11 and 3x - y = 9, the first step would be to choose a method to solve the system.

There are several methods for solving systems of equations, including:

One common method is the substitution method, which involves solving one equation for one variable and then substituting the expression for that variable into the other equation.

For example, we could solve the second equation 3x - y = 9 for y to get:

y = 3x + 9

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The base case for this recursive function is when n equals 0. If n is 0, then the function returns 1. If n is not 0, then the function returns n multiplied by the result of the function fact(n-1).

The base condition for the factorial function assuming fact(0) is 1 and fact(n) returns n*n-1*n-2*… is "if(n

==0)".Here's the explanation of the given terms: The base condition for the factorial function assuming fact(0) is 1 and fact(n) returns n*n-1*n-2*… is "if(n

==0)". The factorial of a positive integer n is the product of all positive integers from 1 to n. For example, the factorial of 4 (denoted as 4!) is equal to 4*3*2*1

= 24. The recursive formula for factorial is n!

= n * (n-1)!, where 0! and 1! are equal to 1. The function int fact(int n) {if (n

== 0) return 1; else return n * fact(n - 1);} calculates the factorial of a given number by using recursion. The base case for this recursive function is when n equals 0. If n is 0, then the function returns 1. If n is not 0, then the function returns n multiplied by the result of the function fact(n-1).

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15 less than a number: X-15

The quotient of a number and 10: X÷10

7 times the sum of 15 and a number: 7(15+X)

Add 11 to 5 times a number: 11+5x

Hope this helps.

Answer:1/2

Step-by-step explanation:

3/4+(-1/2)-(-1/4)

3/4-1/2+1/4

1-1/2=1/2

The statement that is true among the given options is: "The population mean and a sample mean for a sample selected from the population will usually be different values." This statement accurately describes the relationship between the population mean and a sample mean.

In statistics, the population mean refers to the average value of a variable in the entire population, while a sample mean represents the average value of the variable calculated from a subset of the population (a sample). It is important to note that unless the sample is the entire population itself, the sample mean will typically differ from the population mean.

The reason for this discrepancy is due to sampling variability. When we select a sample from a population, we are observing a smaller subset of the whole, which introduces some level of randomness or uncertainty. Different samples from the same population may yield slightly different values for the sample mean.

However, as the sample size increases, the sample mean tends to converge towards the population mean.

In summary, the population mean and sample mean are generally not identical, and their values are likely to differ due to sampling variability. The sample mean provides an estimate of the population mean, and the accuracy of this estimate improves with larger sample sizes.

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Margie worked for 47 hours.

The given table is about the times recorded on the timesheet for the week.

We have to calculate the total time she worked for.

From 7:05 to 3:58

If 7:05 is a.m. then 3:58 will be 15:58 pm.

By subtraction of these timings we can get the number of hours she has worked.

15:58 - 07:05 = 8:53 (8 hours 53 minutes)

From 7:30 a.m. to 17:01 pm

17:01 - 07:30 = 9:31 (9 hours 31 minutes)

From 8:01 a.m. to 17:32 pm

17:32 - 08:01 = 09:31 ( 9 hours 31 minutes)

From 07:22 a.m. to 16:46 pm

16:46 - 07:22 = 09:24 (9 hours 24 minutes)

From 6:55 am to 16:31 pm

16:31 - 06:55 = 9:36 (9 hours 36 minutes)

Therefore, total time she worked = 8:53 + 9:31 + 9:31 + 9:24 + 9:36 = 44:175 (44 hours 175 minutes)

Now we will convert minutes to hours

175 minutes = 2 hours 55 minutes

So total working hours = 44 hours + 2 hours 55 minutes = 46 hours 55 minutes ≈ 47 hours

Therefore, Margie worked for 47 hours.

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Answer:

Yes

Step-by-step explanation:

Their ratios are equivalent

Answer:

8. 124 degrees

9. 48 degrees

10. 55 degrees

11. 120 degrees

12. 50.5 degrees

13. 118.7 degrees

Answer:

21

Step-by-step explanation:

substitution

Answer:

21

Step-by-step explanation:

Plug in x as -2.

3(-2)² - 4(-2) + 1

3(4) - - 8 + 1

12 + 8 + 1

= 21

Answer:

2/729

Step-by-step explanation:

2/3÷3 = 2/9

2/9÷3=2/27

2/27÷3=2/81

2/81÷3=2/243

2/243÷3=2/729

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

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Answer:

425

Step-by-step explanation:

Answer: x/4+2=5

Step-by-step explanation:

The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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The rate of flow outward through the slant surface of the tetrahedron is 18e z + 9.

The rate of flow outward through the slant surface of the tetrahedron can be found using the divergence theorem. The divergence theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface. In this case, we can use the divergence theorem to find the rate of flow without evaluating any integrals.
To begin, let's calculate the divergence of the given vector field ⟨ x e z , − y e z , z ⟩. The divergence of a vector field in three dimensions is defined as the sum of the partial derivatives of each component with respect to its corresponding variable. In this case, the divergence of the vector field is:
div(⟨ x e z , − y e z , z ⟩) = ∂/∂x (x e z) + ∂/∂y (-y e z) + ∂/∂z (z)
= e z + e z + 1
= 2e z + 1
Now, since the tetrahedron has only one face that is not parallel to any of the coordinate planes, we can consider this face as our closed surface. The outward flux through this surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface.
Since the vertices of the tetrahedron are at the origin and (3,0,0), (0,3,0), and (0,0,3), we can see that the tetrahedron is a regular tetrahedron with side length 3.
Therefore, the volume of the tetrahedron is (1/3) * (base area) * (height) = (1/3) * (3 * 3) * 3 = 9.
Now, the rate of flow outward through the slant surface can be calculated as the volume integral of the divergence of the vector field over the volume enclosed by the surface:
Rate of flow = (2e z + 1) * (volume of tetrahedron)
= (2e z + 1) * 9
= 18e z + 9
So, the rate of flow outward through the slant surface of the tetrahedron is 18e z + 9.

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The volume of the solid obtained by rotating the region bounded by the curves y = 2x², y = 2x, and the x-axis, about the x-axis, is (32π/15) cubic units.

To find the volume of the solid, we can use the method of cylindrical shells. The solid is formed by rotating a vertical strip bounded by the curves about the x-axis.

The height of each cylindrical shell is the difference between the y-values of the upper and lower curves, which is (2x - 2x²).

The radius of each shell is the x-coordinate at which the curves intersect, which can be found by equating the two equations: 2x = 2x².

Solving this equation, we find two intersection points at x = 0 and x = 1.

Using the formula for the volume of a cylindrical shell, V = ∫(2πrh)dx, where r is the radius and h is the height, we integrate from x = 0 to x = 1. Substituting the values of r = x and h = (2x - 2x²), the integral becomes V = ∫(2πx(2x - 2x²))dx.

Simplifying the integral, we obtain V = (32π/15) cubic units. Therefore, the volume of the solid obtained by rotating the given region about the x-axis is (32π/15) cubic units.

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Equation for the tangent plane to the surface z 1 = x y 3 cos ( z ) z 1=xy3cos(z) at the point ( 1 , 1 , 0 ) (1,1,0) is :

z = x + 3y - 4

To find the equation for the tangent plane to the surface z1 = xy^3cos(z) at the point (1, 1, 0), follow these steps:

1. First, find the partial derivatives of the given function with respect to x and y. The given function is z1 = xy^3cos(z).

2. Find ∂z1/∂x by differentiating with respect to x:
∂z1/∂x = y^3cos(z)

3. Find ∂z1/∂y by differentiating with respect to y:
∂z1/∂y = 3xy^2cos(z)

4. Now, evaluate the partial derivatives at the given point (1, 1, 0):
∂z1/∂x(1, 1, 0) = 1^3cos(0) = 1
∂z1/∂y(1, 1, 0) = 3*1^1*1^2*cos(0) = 3

5. Finally, write the equation for the tangent plane using the obtained values and the given point (1, 1, 0). The general equation for a tangent plane is:
z - z0 = ∂z1/∂x(x - x0) + ∂z1/∂y(y - y0)

Substitute the values to get the equation for the tangent plane:
z - 0 = 1*(x - 1) + 3*(y - 1)

Your answer: z = x + 3y - 4

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