What are all values of k for which the series ∑ n=0
[infinity]
​
((k 3
+2)e −k
) n
converges? (A) k=−1.314,k=−1.193, and k=4.596 only (B) k<−1.314 and −1.1934.596 (D) k>4.596 only

Answer:

42x+1200

Step-by-step explanation:

The multiplication expression to determine the total change in the value of these cars at the dealership is 42×1200.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

A dealership has 42 cars that are last year’s model that they still need to sell. Because they are last year’s model, each of these cars has depreciated $1,200 in value. Write a multiplication expression to determine the total change in the value of these cars at the dealership.

It is given that:

A dealership has 42 cars that are last year’s model that they still need to sell.

1 car → $1200

Let the price of 42 cars is x

42 cars → x

x = 42×1200

x = $50,400

Thus, the multiplication expression to determine the total change in the value of these cars at the dealership is 42×1200.

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Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Answer:

x=31

Step-by-step explanation

2 times 31 is 62 and half of 62 is 31.

Btw I just got done learning mid segments and can give you some notes you will like

The number of free throws that adam can expect to make if he attempts 20 free throws is 14.

Probability is a metric used to express the possibility or chance that a particular event will occur. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given the probability that the person making a free throw is 70%. The question asks to estimate how many of his 20 free throw attempts will be successful.

Then, the number of free throws is calculated as follows,

\(\begin{aligned}\text{70\% of 20}&=\frac{70\times20}{100}\\&=14\end{aligned}\)

Then, the number of successful free throws is 14.

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The intersection of this sphere with the -plane is (y+6)²+(z-4)²=21

The equation of a sphere centered at (h,k,l) and radius r is given by:

(x−h)²+(y−k)²+(z−l)²=r²

where x,y, and z represent the coordinates of the points on the surface of the surface.

so if the center is (-3,2,5) and radius r=4 then we can plug the values in the above formula:

consider the points  h=-3 k=2 l=5 and r=4.

(x−(-3))²+(y−2)²+(z−5)²=4²

(x+3)²+(y−2)²+(z−5)²=16.

If the sphere intersects the yz-plane then x=0

The resulting equation is an equation of a circle with a radius r=√21

and at the center with (6,-4) on the yz-plane

with yx-plane:

⇒(x−2)²+(y+6)²+(z−4)²=25

⇒ (0−2)²+(y+6)²+(z−4)²=25

⇒4+(y+6)²+(z−4)²=25

⇒(y+6)²+(z−4)²=25-4

⇒(y+6)²+(z−4)²=21

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The absolute error of the veterinarian's estimate is: 0.4 kg

The Percentage error the veterinarian's estimate is: 5.7%

Given:

x = 7.4 kg

x0 = 7 kg

Absolute error = |7 - 7.4| = 0.4 kg

Percentage error = 0.4/7 × 100 = 5.7%

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The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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If Ivan can rinse the dishes in minutes and Lamar can rinse the same dishes in minutes, then their combined rinsing power is dishes per minute. To find out how long it will take them to rinse the dishes together, we need to use the formula:


Ivan's rate: 1 dish/minute
Lamar's rate: 1 dish/minute

When working together, their combined rate is the sum of their individual rates. So, the combined rate is (1 + 1) dishes/minute, which equals 2 dishes/minute.

Now, we can use the formula to find the time it takes for them to rinse the dishes together:

work = rate × time

dishes = (2 dishes/minute) × x

Since the number of dishes is the same for both Ivan and Lamar, we can set up an equation:

dishes = 2x

Solving for x, we find that it will take half the time for them to rinse the dishes together compared to doing it individually.

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Answer:

y = 2/3

Step-by-step explanation:

so 12y-3=5, add the 3 to the 5 to get 12y=8. Then divide the 12y by 12 and the 8 by 12. In so you geet y=2/3

Answer:

y is equal to 2 thirds (y = 2/3)

Step-by-step explanation:

12y − 3 = 5

Substitute the given options to see which one will provide a true statement:

If y = 2:

12y − 3 = 5

12(2) − 3 = 5

24 − 3 = 5

21  = 5  (False statement, so it's not the right answer).

If y = 1:

12(1) − 3 = 5

12− 3 = 5

9 = 5  (False statement).

If y = 2/3:

12(2/3) − 3 = 5

8 - 3 = 5

5 = 5 (True statement).

If y = 13:

12(13) − 3 = 5

156 - 3 = 5

153 = 5 (False statement).

Therefore, the correct answer is: y = 2/3.

We can conclude that it is extremely unlikely to obtain a sample mean greater than 904.8 minutes if the design engineer's claim about the population variance and mean is true.

We can use the Central Limit Theorem to approximate the distribution of the sample means.

Under the given assumptions, the mean of the sampling distribution of the sample means is equal to the population mean, which is 886886 minutes, and the standard deviation of the sampling distribution of the sample means is equal to the population standard deviation divided by the square root of the sample size, which is\(\sqrt{84648464/145145} = 41.77\) minutes.

Therefore, we can standardize the sample mean using the formula:

\(z = (\bar{x} - \mu) / (\sigma / \sqrt{n } )\)

where \(\bar{x}\)  is the sample mean, \(\mu\)  is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (904.8 - 886886) / (41.77) = -21115.47

The probability of getting a sample mean greater than 904.8 minutes can be calculated as the area under the standard normal curve to the right of z = -21115.47.

This probability is essentially zero, since the standard normal distribution is symmetric and nearly all of its area is to the left of -6.

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The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

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1. if c is 54 and d is 48; k = -11.11%

2. if a is 52 and k is 22; d = 66.67

3. if c is 25 and k is 18; a = 16.81

4. if k is 15; w = 0.7225

5. if w is 19; k = 56.4%

Percentage refers to the fraction of a number that is expressed as a number out of hundred. The sign used to represent percentages is %.

1.

k = (d/c - 1) × 100

= (48/54 - 1) × 100

k = -11.11%

2.

d = a/(1 - k%)

= 52/(1-22%)

= 52/0.78

= 66.67

3.

d = (1 - 0.18) x 25

= 20.50

a = (1 - 0.18) x 20.50 = 16.81

4.

w = (1 - 0.15) x (1-0.15)

= 0.85 x 0.85

= 0.7225

5.

k = (1 - √0.19) × 100

= 56.4%

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer: I hope this helps you

Step-by-step explanation:

The geometry of curved surfaces was developed by several mathematicians over the centuries, including Carl Friedrich Gauss, Bernhard Riemann, and Elie Cartan, among others. These mathematicians made groundbreaking contributions to the field of differential geometry, which studies the properties of curves and surfaces in higher-dimensional space.

The development of the geometry of curved surfaces is a fascinating topic that has intrigued mathematicians and scientists for centuries. Many notable individuals throughout history have contributed to the field, including Carl Friedrich Gauss, Bernhard Riemann, and Henri Poincaré, to name just a few.

One of the key figures in the development of non-Euclidean geometry was Gauss, who laid the foundation for the study of curved surfaces with his work on differential geometry. Gauss introduced the concepts of intrinsic curvature and geodesics, which are critical to understanding the properties of curved surfaces.

Another important figure in the development of curved surface geometry was Riemann, who developed a new approach to the study of surfaces and higher-dimensional spaces. Riemann’s work allowed for the introduction of a metric tensor, which enables the calculation of distances and angles on curved surfaces.

Poincaré made significant contributions to the field with his work on topology, which involves the study of geometric properties that are preserved under continuous transformations. Poincaré also introduced the idea of a fundamental group, which is a mathematical object that can be used to describe the connectivity and topology of surfaces.

Overall, the development of the geometry of curved surfaces is a fascinating subject, and the work of Gauss, Riemann, and Poincaré continues to be foundational to the field today.

One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

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Answer:

yaizhx

Step-by-step explanation:

hdianxbdgsjdjshxjshxosnznwjzixbxoskzbwjddjs

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Answer:

The value of b when a is 22 is 79 1/5

Step-by-step explanation:

a varies directly as b

Let k be the constant of proportionality;

then;

a = kb

5 = k * 18

k = 5/18

Finding the value of b, when a is 22

22 = 5/18 * b

5b = 18 * 22

b = (18 * 22)/5 = 79 1/5

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

the answer is true

Step-by-step explanation:

If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.

Answer:

it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.

so reflecting about y and then about x is the same as rotating 180°.

Step-by-step explanation:

if you reflect (x, y) in 180° it becomes (-x,-y)

when you reflect about the y-axis, (x,y) becomes (-x,y).

when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°

the matrix K for the given system is:

K = [k1 + k2   -k2]

     [-k2        k2 + k3]

And it is symmetric.

To calculate the matrix K for the given system, we need to determine the values of k1, k2, and k3 based on the system equation:

[m1   0 ] [x₁(t)] + [k1 + k2   -k2 ][x₁(t)] = [0]

[   ]x(t) + [   ]x(t) = [   ]

[0   m2] [x₂(t)]   [ -k2   k2 + k3][x₂(t)]   [0]

From the equation, we can see that the coefficients of the x₁(t) terms form the diagonal elements of the matrix K, and the coefficients of the x₂(t) terms form the off-diagonal elements.

Therefore, the matrix K is:

K = [k1 + k2   -k2]

   [-k2        k2 + k3]

To verify that K is symmetric, we compare its transpose with the original matrix K.

The transpose of K is:

K^T = [k1 + k2  -k2]

      [-k2         k2 + k3]

We can observe that K is equal to its transpose K^T, which means the matrix K is symmetric.

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Therefore, on average, a customer arriving during the morning rush would wait approximately 2.17 hours to be served.

To determine the average waiting time for a customer arriving during the morning rush at the coffee shop, we need to consider the arrival rate and the capacity of the shop.

Given that 100 customers per hour arrive at the coffee shop during the two-hour morning rush, and the shop has a capacity of 80 customers per hour, we can conclude that there will be more customers arriving than the shop can accommodate.

To calculate the average waiting time, we need to account for the time spent by customers who have to wait due to the shop being at full capacity. For simplicity, let's assume that customers arrive uniformly throughout the two-hour period.

During the first hour (8 a.m. to 9 a.m.), there will be 100 customers arriving, but the shop can only serve 80 customers. Therefore, 20 customers will have to wait for their turn to be served.

During the second hour (9 a.m. to 10 a.m.), again, 100 customers will arrive, but since the shop is already at full capacity, all 100 customers will have to wait for their turn.

In total, during the two-hour morning rush, there will be 20 customers who wait for one hour and 100 customers who wait for the entire two hours.

To calculate the average waiting time, we can sum up the waiting times and divide by the total number of customers:

Average waiting time = (20 * 1 hour + 100 * 2 hours) / (20 + 100) = (20 + 200) / 120 = 2.17 hours

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Answer:

126

Step-by-step explanation:

a=9

b=3

we have

15b+a^2

just substitute the value

15*3+9*9

45+81

126

Answer:

126 is your answer!

Step-by-step explanation:

15 x 3=45

9^2=81

45+81=126

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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=========================================================

Explanation:

Points Q and R have the same y coordinate of 6.

This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.

Going from -4 to 8 is a distance of 12 units because either

-4-8 = -12 which flips to +12 or 12

8-(-4) = 8+4 = 12

Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.

Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.

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

If you need to use the distance formula, then this is what the steps may look like:

\(Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\\)

In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.

If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.

1. 113.64

(work) 947x.12

2. 130.5

(work) 435x.30 = 130.5

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Answer:

4.75/ 19/4

Step-by-step explanation:

a=1/4; b=6

12a+(b-a-4)=?

12(1/4)+(6-1/4-4)=?

3+1.75 or 7/4=?

=4.75 or 19/4

I'm not very sure but I tried lol

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

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To represent the wind speed (w) of a Category 2 hurricane, we can use the inequalities 95 ≤ w ≤ 110, indicating that the wind speed must be between 95 and 110 miles per hour. This can be represented using the conjunction (AND) symbol as 95 ≤ w ∧ w ≤ 110 or using the disjunction (OR) symbol as 95 ≤ w ∨ w ≤ 110. The choice between conjunction and disjunction depends on whether the wind speed must satisfy both inequalities simultaneously or at least one of them.

To represent the wind speed (w) of a Category 2 hurricane with two inequalities joined by the mathematical symbol representing a conjunction or disjunction, we can use the symbol "∧" for conjunction (AND) or "∨" for disjunction (OR).

For a Category 2 hurricane with wind speeds between at least 95 miles per hour and at most 110 miles per hour, we can write the inequalities as:

95 ≤ w ≤ 110

Using the conjunction (AND) symbol, the combined representation would be:

95 ≤ w ∧ w ≤ 110

This indicates that the wind speed (w) of a Category 2 hurricane must satisfy both inequalities simultaneously, meaning it should be greater than or equal to 95 miles per hour and less than or equal to 110 miles per hour.

Using the disjunction (OR) symbol, the combined representation would be:

95 ≤ w ∨ w ≤ 110

This indicates that the wind speed (w) of a Category 2 hurricane should satisfy at least one of the inequalities. It can be greater than or equal to 95 miles per hour or less than or equal to 110 miles per hour, or both.

Depending on the context and the specific interpretation required, either the conjunction or disjunction can be used to represent the wind speed range of a Category 2 hurricane.

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