test the series for convergence or divergence using the alternating series test. [infinity] (−1)n 7nn n! n = 1

Answer:

Im gonna go with D 25

Step-by-step explanation:

Hope this helps

Srry if its incorrect

Have a great day!

Answer:

Kite and Arrowhead

Step-by-step explanation:

It’s asking for “No pairs of parallel sides”

meaning no Parallel sides. It can’t be Trapezium because it has one pair of parallel sides. {The question is asking for shapes with no parallel sides}

Thank you

Answer:

The answer is "3".

Step-by-step explanation:

\(\texttt{Given graph equation: } \\\\\bold{\Rightarrow f(x)=\frac{4}{x^2-6x+9} }\)

\(\bold{\ interval: (a,\infty)}\)

differentiate the function f(x):

\(\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\\)

Formula:

\(\bold{\frac{d}{dx} \frac{v}{u}= \frac{u \frac{d}{dx} v- v\frac{d}{dx}u }{u^2}}\)

\(\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \frac{d}{dx} 4- 4\frac{d}{dx}(x^2-6x+9) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \times 0 - 4(2x-6) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{- 4(2x-6)}{(x^2-6x+9)^2}\\\\\\\Rightarrow \frac{- 4(2x-6)}{(x^2-6x+9)^2}=0\\\\\Rightarrow - 4(2x-6)=0\\\\\Rightarrow 8x-24=0\\\\\Rightarrow 8x=24\\\\\Rightarrow x=\frac{24}{8}\\\\\Rightarrow x=3\\\\\)

since the value of x in: \((-3 ,\infty) \ \ and \ \ (3, \infty)\) and \(f'(x) <= 0\\\). So, the value of a is 3

Answer:

3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)

Step-by-step explanation:

The price of the emerald ring after marked down by 64% is equal to $1.908.

Original price of the emerald ring = $5,300

Let us consider the price of the ring after marked down be 'x'.

Marked down percent at the time of clearance = 64%

Calculate 64% of the original price and then subtract that amount from the original price,

64% of $5,300

= 0.64 x $5,300

= $3,392

So, the amount of the markdown is $3,392.

The price of the ring now is equal to,

Price of the ring now 'x'  = Original price - Markdown

⇒ Price of the ring now 'x' = $5,300 - $3,392

⇒ Price of the ring now 'x' = $1,908

Therefore, now the price of the ring is equal to $1,908.

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Answer:

Step-by-step explanation:

The false statement concerning either the Allowable Increase or Allowable Decrease columns in the Sensitivity Report is: "The values equate the decision variable profit to the cost of resources expended."

The Allowable Increase and Allowable Decrease columns in the Sensitivity Report provide important information about the sensitivity of the optimal solution to changes in the model parameters. Specifically, they help determine the range over which an objective function coefficient or a constraint's right-hand side (resource value) can change without impacting the optimal solution.

However, the statement that the values in these columns equate the decision variable profit to the cost of resources expended is false. The Allowable Increase and Allowable Decrease values do not directly relate to the decision variable profit or the cost of resources expended. Instead, they provide insights into the flexibility or sensitivity of the model's solution to changes in specific parameters. They allow for understanding when alternate optimal solutions exist and provide guidance on the acceptable range of changes for objective function coefficients or shadow prices without affecting the optimal solution.

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Answer:

8√3 Decimal Form: 13.85640646

Step-by-step explanation:

Answer:

You save $6.31.

Step-by-step explanation:

For this we need to find the unit price. To do that we take the cost/unit(in this case gallon

For the one gallon can we'll do 9.92/1 =9.92.

The unit price for the one gallon is $9.92 per gallon.

For the 5 gallon we'll do 43.29/5 = 8.66

The unit price for the five gallon is $8.66.

So we'll subtract 5•(9.92)-5•(8.66) =49.6-43.29= $6.31.

You save $6.31.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a cryptogram, An arrangement of letters such that the uniform substitution of words or phrases in the place of letters results in an argument is called a "propositional form" or "logical form."

What is the difference between phrase and word? Word is a synonym of a phrase. Word is a conjunction of a phrase. is that phrase to express (an action, thought, or idea) by means of words while word is to ply or overpower with words?

Students often make the mistake of using synonyms of “and” each time they want to add further information in support of a point they’re making or to build an argument. Here are some cleverer ways of doing this.

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The required expression for the fenced region is lw = 650.

Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650

Thus, the required expression for the fenced region is lw = 650.

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Answer:

x = 3y + 87

Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:

3y = x - 6

y = 1/3x - 2

Your slope is 1/3.

And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.

Thus, y-intercept form is y = 1/3x + 29

Standard form will be: x = 3y + 87

The vector z in the component form is z = < 21 , 24 , -27 >

Given data ,

A vector in component form is typically written as an ordered pair or triplet, where each component represents the magnitude of the vector along a specific coordinate axis.

Now , the vector u = < -1 , 3 , 1 >

v = < 4 , -3 , -1 >

w = < 10 , 5 , -10 >

Now , the value of vector z = < 3w - 2v + u >

z = 3w - 2v + u

z = 3w - 2 * < 4 , -3 , -1 > + < -1 , 3 , 1 >

Using scalar multiplication, we get:

z = < 30 , 15 , -30 > - < 8 , -6 , -2 > + < -1 , 3 , 1 >

Adding vectors, we get:

z = < 30 - 8 - 1 , 15 - (-6) + 3 , -30 + 2 + 1 >

z = < 21 , 24 , -27 >

Hence , the vector z in component form is z = < 21 , 24 , -27 >

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The true statements about the system of equations are:

"They have different y-intercepts"

"he substitution method results in the false statement, 8 = –1"

Here we have the following system of equations:

y = 4x + 8

y = 4x - 1

Remember that the general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

Notice that both equations have the same slope and different y-intercepts, this means that the lines are parallel.

Then the true statements are:

"They have different y-intercepts"

"he substitution method results in the false statement, 8 = –1"

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The length of the straw is √101 inches

The rectangular box has:

length (l) = 6 inches

breadth (b) = 4 inches

height (h) = 7 inches

The straw is said to fit into the box diagonally from the bottom.

So, the length of the straw is calculated as:

S= √(l² + b² + h²)

S = √(6² + 4² + 7²)

S = √101 inches

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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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The correct answer is option (e). The sum of the lengths in inches of all of its interior diagonals is 40√2.

The surface area of a rectangular box can be expressed as 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the box, respectively. Since the total surface area is 94 square inches and the sum of the lengths of all its edges is 48 inches, we can write an equation using these variables. Solving for l, w, and h, we find that the length, width, and height are 6, 7, and 4 inches, respectively.

The sum of the lengths of all interior diagonals can then be found using the Pythagorean theorem. The result is,

√(l^2 + w^2 + h^2) = √(6^2 + 7^2 + 4^2)

= √(36 + 49 + 16)

= √101

= 10√2.

The sum of the lengths of all interior diagonals is then equal to 2(10√2) = 40√2.

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The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

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percent of water is: 32/80*100= 40%

Answer:  y=1.6552x

Step-by-step explanation:

Determine the coordinates of the two points, C and D.

C (0,0)

D (7.25, 12)  [Hard to read the graph.  Use the values you judge to be correct]

We want a straight line to go through C and D.  It should have the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).  The slope is the rise/run of the line, so we'll use the two given points to determine slope.  Rise = (12-0)=12.  Run = (7.25-0) = 7.75.  Rise/Run = 12/7.25, or 1.6552.  The equation becomes y = 1.6552x + b.

Find b by using one of the given points.  I'll use (0,0) because it is easy:

y = 1.6552x + b for (0,0):  0 = 1.6552(0) + b;  b = 0

The equation is thus y=1.6552x

Given that,

Resistivity- Resistivity is a measure of the electrical resistance of a material per unit length and per unit cross-sectional area.

The resistance of a wire is given by

 R=ρL/A

In this case \(A=\pi r^2 =\pi (0.50*10^(-3) ) ^2\\=7.85*10^-7\\\)

\(\frac{(50*10^-3m)(7.85*1^-7m)}{2m} \\=2.0*10^-8\)

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x = 3

GM = 2x + 6

GK = 24

GM is half of GK

so, 2(GM) = GK

2(2x + 6) = 24

4x + 12 = 24

4x = 12

x = 3

We need 3 liters of water to fill the cylinder up to 2/3 of its capacity.

The formula for the volume of a cylinder is V=π r2 h, where V is the volume, π is pi, r is the radius and h is the height. The radius of the cylinder is half of the diameter, so the radius of this cylinder is 6 cm, and the height is 25 cm. Applying the formula, the volume of the cylinder is V=π\(*6^2*25\)

=4500π cm3.

To fill it up to 2/3 of its capacity, we need 3000π cm3 of water. To convert this to liters, we need to divide by 1000, so the answer is 3000π/1000=3 liters of water.

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Answer:

14.87

Step-by-step explanation:

Use the distance between 2 points formula:  

d = √(x2 - x1)² + (y2 - y1)²

d = √(12-2)² + (3-14)² = √10² + (-11)² = √100+121 = √221 = 14.87

Without specific grid coordinates for the bell and spoon, it's impossible to calculate the distance between the two artifacts. If such were provided, the distance could be computed by counting the number of grid squares separating the two, given that each square represents 1 foot. This kind of measurement is typical in archaeological digs.

The question does not provide enough information to calculate the specific distance between the two artifacts. In order to find the distance between the bronze bell and the pewter spoon, you would need information on their respective locations on the grid. Assuming each grid square represents a foot, you could calculate the distance in feet by measuring the number of squares between the two artifacts. This kind of problem stems from the field of coordinate geometry and is quite common during archaeological digs, where scientists use grids to accurately record the location of finds.

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Answer:

a)   \(s=482moh\)

b)  \(s'=9mph\)

Step-by-step explanation:

From the question we are told that:

Distance \(d=3930mi\)

Time of flight \(T=8hr\)

Flight back \(T_b=8.3hr\)

Generally the equation for Time for flight with jet steam is mathematically given by

\(T=\frac{d}{s+s_1}\)

\(8=\frac{3930}{s+s'}\)

\(s+s'=491.3 ....equ1\)

Generally the equation for Time for flight against jet steam is mathematically given by

\(T=\frac{d}{s-s_1}\)

\(8.3=\frac{3930}{s-s_1}\)

\(s+s'=473.5......equ 2\)

Solving equ 1 and equ 2 simultaneously

\(s+s'=491.3\)

\(s+s'=473.5\)

Therefore

\(s=482moh\)

\(s'=9mph\)

Answer:

(3,0)

Step-by-step explanation:

0(x)+3=3

6(y)-6=0

After 31.6 minutes have passed, approximately 40.3 mg of lead-214 remains in the sample. This can be determined using the decay equation lnA = lnA₀ - kt, where A represents the amount of the substance remaining after time t, A₀ is the original amount of the substance, k is a constant characteristic of the substance, and t is the elapsed time.

The given equation, lnA = lnA₀ - kt, represents the decay of the radioactive isotope lead-214. In this equation, A represents the amount of the substance remaining after time t, A₀ is the original amount of the substance, k is a constant characteristic of the substance, and t is the elapsed time.

To find the amount of lead-214 remaining after 31.6 minutes, we can plug in the given values into the equation. We are given that A₀, the original amount of lead-214 in the sample, is 51.3 mg. The value of k for lead-214 is 2.59×\(10^(^-^2^)\)\(minutes^(^-^1^)\), as mentioned in the question. Finally, t is 31.6 minutes.

Substituting these values into the equation, we have:

lnA = ln(51.3) - (2.59×\(10^(^-^2^)\) × 31.6)

Evaluating the right side of the equation, we get:

lnA ≈ 3.937 - (2.59×\(10^(^-^2^)\) × 31.6)

    ≈ 3.937 - 0.8164

    ≈ 3.1206

To find A, we need to exponentiate both sides of the equation using the natural logarithm base, e:

\(e^(^l^n^A^)\) = \(e^(^3^.^1^2^0^6^)\)

A ≈ 22.63 mg

Therefore, after 31.6 minutes have passed, approximately 22.63 mg of lead-214 remains in the sample.

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Answer:

45 million

Step-by-step explanation:

There will be approximately 45 million streams on the seventh day after the song's release.

To solve the problem, use the formula for exponential growth:

\(N(t) = N0 * (1 + r)^t\)

where

N(t) is the number of streams at time t,

N0 is the initial number of streams,

r is the daily growth rate expressed as a decimal, and

t is the time elapsed in days.

In this case, N0 = 15 million, r = 0.2 (since the number of streams increases by 20% per day), and t = 7 (since we want to know the number of streams on the seventh day).

Plugin these values into the formula

\(N(7) = 15 * (1 + 0.2)^7\\N(7) = 15 * 1.2^7\)

N(7) = 15 * 2.985984

N(7) = 44.78976

N(7) ≈ 45 million

Therefore, there will be approximately 45 million streams on the seventh day after the song's release.

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