00 1 Consider the following series: ne 298 =1 We will test this series for convergence or divergence. O What test(s) is(are) applicable to test this series? Click for List (11) Determine whether this series converges or diverges. Converges O Diverges

Answer:

1) 45

2) 52

3) 48

4) 121

5) (30÷100)×50= 15

6) 60= (20÷100)×(x)

x= 60÷ (20÷100)= 300

7) 0.375

8) 37.5%

9) 0.45

10) 9/20

Hope this helps!!

the answers are in the picture

The weight of 5.13 lb corresponds to a z-score of approximately 3.030.

a. The difference between the weight of 5.13 lb and the mean of the weights (X = 1.820 lb) can be calculated as:

Difference = 5.13 lb - 1.820 lb = 3.31 lb

b. To determine how many standard deviations the difference found in part (a) represents, we divide the difference by the standard deviation (s = 1.132 lb):

Number of standard deviations = Difference / Standard deviation

Number of standard deviations = 3.31 lb / 1.132 lb ≈ 2.92

Therefore, the difference of 3.31 lb is approximately 2.92 standard deviations.

c. To convert the weight of 5.13 lb to a z-score (also known as a standard score), we use the formula:

z = (x - μ) / σ

where:

z is the z-score,

x is the value we want to convert,

μ is the mean of the dataset, and

σ is the standard deviation of the dataset.

In this case, x = 5.13 lb, μ = 1.820 lb, and σ = 1.132 lb.

z = (5.13 lb - 1.820 lb) / 1.132 lb ≈ 3.030

Therefore, the weight of 5.13 lb corresponds to a z-score of approximately 3.030.

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Step-by-step explanation:

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The rate of change between F and G is 5, while the rate of change between G and H is 3, so we conclude that the rate of change between F and G is larger.

For a given function f(x), the rate of change on an interval (a, b), where a < b, is given by the simple formula:

R = (f(b) - f(a))/(b - a)

Now, on the graph of the parabola we can see that the important points are:

Then, the rate of change between points F and G is:

R = (0 - (-5))/(-2 - (-3)) = 5/1 = 5

the rate of change between points H and G is:

R = (3 - 0)(-1 - (-2)) = 3/1 = 3

We can see that the rate of change is larger between F and G than between G and H.

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The total revenue is $2600.

To calculate the revenue, we need to determine the total number of drinks and cookies sold and multiply them by their respective prices.

Number of drinks sold: 500 people

Number of cookies sold (assuming for every 5 drinks, 3 cookies are sold): (500 / 5) * 3 = 300 cookies

Price per drink: $4

Price per cookie: $2

Total revenue from drinks: Number of drinks sold * Price per drink = 500 * $4 = $2000

Total revenue from cookies: Number of cookies sold * Price per cookie = 300 * $2 = $600

Total revenue = Revenue from drinks + Revenue from cookies = $2000 + $600 = $2600

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The slope of the line shown is -2/5

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (0,7) and (5, 5)

Slope = 5-7/5-0
Slope = -2/5

Hence the slope of the line shown is -2/5

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Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

The function y=3\((7/5)^t\) In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Therefore,

The function y=3\((7/5)^t\) In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Exponential growth and decay are the two different kinds of exponential functions.

When b > 1, the function

f (x) = bx represents exponential development.

If 0 b 1, then the function

f (x) = bx depicts exponential decay.

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Answer:

9

Step-by-step explanation:

steps are = to 9

Answer:

What is the value of x in the proportion below?

StartFraction 180 kilometers over 3 hours EndFraction = StartFraction 540 over x EndFraction Option  B

(B) 9             100% Answer    

Step-by-step explanation:

I can't see the rest of the paper and for number 9 you got it correct and I'm assuming you understand it, unless you just guessed. And I can't see the rest of the paper so I will be doing all of number 10.

Answer:

10.

a)

2005-2006

The only time the medicare funds are higher than the original amount they started out with on the graph is from 2005-2006. I think that is what they were looking for.

b)

15-16

For this one I'd say the funds decreased by about 15-16

c)

Both periods had about 6 billion dollars

Like it says on the paper this one is would be 6 because the points are over the 5 billion dollar mark.

d)

The answer is 2011

For this one I see why you put 2013 and if they were asking for when Medicare funds were at it's lowest it would be 2013. The answer to this question is actually 2011 because that is when the Funds first crossed the deficit line.

I hope I helped!

C is 6

D is 2011

A I'm not sure but I think it's 04

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

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To apply Green's theorem to evaluate the line integral ∮(6y dx + (y^4x) dy), we need to find the curl of the vector field F = (6y, y^4x).

The curl of F is given by:

∇ × F = (∂F₂/∂x - ∂F₁/∂y)

Calculating the partial derivatives:

∂F₁/∂y = 0

∂F₂/∂x = 4y^3

Therefore, the curl of F is:

∇ × F = (4y^3)

Now, we can rewrite the line integral in terms of the curl:

∮(6y dx + (y^4x) dy) = ∬(∇ × F) · dA

To evaluate the double integral, we need to find the region of integration. However, the given expression is missing information about the region or the boundary curve. Without this information, we cannot proceed further with the evaluation of the line integral using Green's theorem.

If you provide additional details about the region or the boundary curve, I will be able to assist you further in applying Green's theorem.

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Answer: D

Step-by-step explanation:

Answer:

The value of QR is 12.

Step-by-step explanation:

We are given that R is the midpoint of QS, and by definition of a midpoint we know that R is equidistant from the endpoints of segment QS. Therefore, we know that the length of QR is equal to the length of RS. Now we can form an algebraic equation with the values of the segments: 4x = x+9. Now we can subtract x from both sides of this equation to get 3x = 9. Now we can divide both sides by 3, to get that x = 3. Now we can plug this number into the expression 4x, to get the value of QR to be 12.

Given data:

The first side of the triangle is a=3 ft.

The second side of the triangle is b=54 ft.

For a triangle the sum of any two sides mus be greater than third side.

(3 ft+54 ft)>c

c<57 ft.

and

(3 ft+c)>54 ft

c>51 ft

Thus, the side of the triangle lie between 51

Answer:

15:22.5:52.5

Step-by-step explanation:

2:3:7=2+3+7=12

90 divided by 12 is 7.5

multiply each factor by 7.5

2-15

3-22.5

7-52.5

please mark as brainliest!!<3

Answer:

15 : 22.5 : 52.5

Step-by-step explanation:

2+3+7 = 12units

To find how much kg one unit is.

90kg ÷ 12units = 7.5kg/unit

2units : 7.5 x 2 = 15kg

3units : 7.5 x 3 = 22.5kg OR 22/1/2 kg

7units : 7.5 x 7 = 52.5kg OR 52/1/2 kg

Therefore, the answer is

15 : 22.5 : 52.5

Answer:

-3,8

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

plug in -2 for y. then you can find the x value, which is 3

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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Answer:

-12=-8 -4

-4= -9 +5

4=9+ (-5)

12= 8-(-4)

Step-by-step explanation:

We can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

To match each expression on the left with its numeric equivalent, we can simply evaluate the expressions:

Expressions play a crucial role in human interaction, conveying emotions, intentions, and information without the need for extensive verbal communication. They enrich our conversations and help create deeper connections with others.

-9 + 5 = -4

9 + (-5) = 4

8 - (-4) = 12

-8 - 4 = -12

Now, we can drag the numbers to the boxes on the right to match the expressions:

-12 → -8 - 4

-4 → -9 + 5

4 → 9 + (-5)

12 → 8 - (-4)

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Answer:

w=1

Step-by-step explanation:

3=10w-7w

3=3w

1=w

w=1

Answer:

Simplest answer-3w=3, w=1

Step-by-step explanation:

3=10w-7w

10w-7w=3

3w=3

w=1

Answer:

6

10

3

57

10

Step-by-step explanation:

just divide and find x:1

There is a positive nonlinear association from the scatter plot shown. Option D

A link between two variables in a scatter plot is said to have a positive correlation if their values tend to rise together.

It implies that the value of the other variable tends to increase as the value of the first variable does. On the other hand, as one variable falls, the other tends to fall as well.

In a scatter plot with a positive correlation, the data points generally form an upward trend or pattern as you move from left to right on the plot as shown above.

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Answer:

There is a positive nonlinear association.

Step-by-step explanation: to all the flvs people good job for making it this far in math and I hope you finish your exams and get a good and get a good grade ! <3

Answer:

.6 gallons per minute

Step-by-step explanation:

3/5=.6

(a) -0.255 is the probability that a randomly selected credit card holder has a credit card balance less than $2500. (b) You randomly select 25 credit card holders. 0.0228 is the probability that their mean credit card balance is less than $2500.

Let us pull out the critical elements

Population: Normally distributed with mean of 2870

population standard deviation = 900 standard deviation of the sample mean (standard error) is 900 / √25. or 180

As population sigma is known, we do not have apply any corrections

P(xbar < $2500) = ?    

Since μ and σ are known (population mean and standard deviation) we can use a simple Z test.

Ztest = (2500-2870 )/ 180  or -370/180 = -2.055

As this is very close to -2 one can use the rule of thumb for probability within ± 2 sigma  being 95.44% to get a close estimate.   If the area between -2 and 2 sigma = .9544 then the area outside = .0456.  Half of this (the amount under the curve LESS THAN -2) would be .0228

Using a calculator or computer for an exact answer we find (using a TI-83/86):

nmcdf(-9E6,2500,2870,180) = .0199

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Answer:

my guess is 1?

Step-by-step explanation:

I just guess

Answer:

$.59 per apple

Step-by-step explanation:

The unit cost is the price divided by the number of items

3.54 / 6

.59

$.59 per apple

Answer:

0.59 or .59

Step-by-step explanation:

3.54 divided by 6

The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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The number of raindrops hitting a particular region can be modeled using the Poisson distribution. The Poisson distribution is commonly used to describe the number of events occurring in a fixed interval of time or space when these events happen randomly and independently with a known average rate. In this case, the average rate is given as 20 drops per square inch per minute. The probability that the region has no raindrops in a given 6-second time interval is approximately 0.7165

To compute the probability that the region has no raindrops in a given 6-second time interval, we need to convert the rate to match the time interval. Since the rate is given per minute, we can divide it by 60 to get the rate per second: λ = 20/60 = 1/3 drops per square inch per second.

Using the Poisson distribution, the probability of observing exactly k events in a given time interval is given by the formula:

P(X = k) = (e^(-λ) * λ^k) / k!

Where e is Euler's number (approximately 2.71828), λ is the average rate, and k is the number of events.

In our case, we want to find the probability that the region has no raindrops in a 6-second time interval, which corresponds to k = 0.

P(X = 0) = (e^(-1/3) * (1/3)^0) / 0! = e^(-1/3)

Using a calculator, we can evaluate e^(-1/3) ≈ 0.7165.

Therefore, the probability that the region has no raindrops in a given 6-second time interval is approximately 0.7165 or 71.65%.

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Answer:

Step-by-step explanation:

2x + 2 + 3x + 6 = 23

5x + 8 = 23

5x = 15

x = 3

3(3) + 6 = 9 + 6 = 15 = BC