What must be true in order to find a sum for an infinite geometric series?

Answer:

Students to attend camp = 56 x 44/100 = 24.64

Students to attend camp = 25

Step-by-step explanation:

Answer:

≈25 students

Step-by-step explanation:

Find out 44% of 56:

(44*56)÷100=

2464÷100=

24.64

So about 25 students out of 56 said yes, they were going to attend summer camp.

Answer:

30 x 24 = 720

720 / 2 = 360

360 inches squared

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.

This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.

By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.

On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.

This method may not provide the same level of control in selecting participants based on specific characteristics.

While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.

It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.

Therefore, option A is incorrect.

Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.

Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.

Thus, the correct answer is option C.

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Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

He needs to buy 2 packets of sausages and 6 packs of rolls

Step-by-step explanation:

Answer

Hope it helps

The amount paid in interest for this loan is approximately $180.00.

To calculate the amount paid in interest, we need to consider two important factors: the principal amount borrowed and the interest rate. In this case, the principal amount borrowed is $1,000, and the interest rate is 11.8% per annum.

First, let's calculate the interest for the entire loan duration of 18 months. To do this, we need to convert the interest rate from an annual rate to a monthly rate, as the loan duration is given in months.

To calculate the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):

Monthly Interest Rate = Annual Interest Rate / 12

= 11.8% / 12

= 0.118 / 12

= 0.009833 (approximately)

Next, we calculate the total interest paid by multiplying the monthly interest rate by the principal amount borrowed and the loan duration in months:

Total Interest = Monthly Interest Rate * Principal Amount * Loan Duration

= 0.009833 * $1,000 * 18

= $180.00 (approximately)

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Because there's a negative sign, it suggests that you should inverse the expression. After inverting it, the power will be positive, and you can square like normal.

Answer:

1) 15x+10=130 (corresponding angles)

15x=120

x=120/15

x=8

2) 60+128+x=180 (angle to straight line)

188+x=180

x=180-188

x=-8

3) 12x+8=13x+2

12x-13x=2-8

-x=-6

x=6

4) 115+16x+1=180 (co interior angles)

116+16x=180

16x=180-116

16x=64

x=64/16

x=4

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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Answer:

Just one.

Step-by-step explanation:

If you add another \(\frac{2}{3}\) it becomes \(\frac{4}{3}\) which would make it greater than one.

Deck of Cards: 52 total, 4 suits of 13 each. Clubs and Spades are black, Hearts and Diamonds are red. Jack (J), Queen (Q), and King (K) are face cards.

Clubs: 2 3 4 5 6 7 8 9 10 J Q K A

Spades: 2 3 4 5 6 7 8 9 10 J Q K A

Hearts: 2 3 4 5 6 7 8 9 10 J Q K A

Diamond: 2 3 4 5 6 7 8 9 10 J Q K A

Here, we use the probability formula to calculate the answer.

Possible outcome = 52

We are to find the probability that it is a two or a club.

From 52 deck of cards, we have 4 twos and 13 clubs

Therefore,

The probability that it is a two or a club

Final answer = 0.3077 to 4 decimal places

To find the volume of the solid obtained by rotating the region bounded by the curves y = 2x and y = 2x about the line y = 2, the method of cylindrical shells can be used.

When rotating the region bounded by the curves y = 2x and y = 2x about the line y = 2, we can visualize the resulting solid as a collection of infinitesimally thin cylindrical shells.

The height of each shell is given by the difference between the lines y = 2 and the curve y = 2x, which is 2 - 2x. The circumference of each shell is given by 2πx since the shell is formed by rotating a line segment of length x.

Integrating the product of the height and circumference over the range of x where the curves intersect (from x = 0 to x = 1), we can find the volume of the solid using the formula V = ∫(2πx)(2 - 2x) dx. Evaluating this integral will yield the volume of the solid.

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Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

Answer:

x=4

Step-by-step explanation:

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Step-by-step explanation:

20/14=2-x/7

cross multiply

20x7=14x2-x

140=28-x

x=28-140

x=-112

Answer:

The bases are congruent

Step-by-step explanation:

From the question, we understand that the top base and the bottom base are directly opposite one another.

When such a scenario arise, it means that the bases have the same shape, they have the same dimension (i.e. size).

With the above analysis, we can conclude that the bases are congruent.

However, the given information can not be used to determine the shape and congruence of the lateral faces.

Lastly, for the bases to be congruent, they must have the same shape (and not any shape).

Hence, only option (b) is correct

If Sam and Tyrone are running on a trail. Sam reaches the 4th mile marker at the same time that Tyrone reaches the 1st mile marker. The number of minutes that  Sam and Tyrone meet is: B) 45 minutes .

Speed = Distance/Time  

Sam speed = 1/10 mile/minute

Tyrone speed = 1/6 mile/minute

Time distance covered by Tyrone= (4-1) + x

Time taken= t

Hence,

x/(1/10)   =  (3 + x)/(1/6)

10x  =   6(3 + x)

10x  =  18 + 6x

4x  = 18

x  = 9/2

Time ( t) =x/(1/10)   =  (3 + x)/(1/6)

Time ( t)  =  (9/2)/(1/10)

Time ( t)  = 45 minute

Therefore the correct option is  B.

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The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

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x + y = 124

x - y = 20

x = 20 + y

20 + 2y = 124

10 + y = 62

y = 52

x - 52 = 20

x = 72

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Answer:

1/7

Step-by-step explanation:

y = -7x - 1 so slope is -7

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -7 is 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-7}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

thus a line perpendicular to that slope will have a slope of

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-7}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-7}\implies {\LARGE \begin{array}{llll} \cfrac{1}{7} \end{array}}}}\)

five out of of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise

If you were to attribute this film, that means you'd say that (something) caused the success of the movie Rocky. This question is basically asking what do you think made this movie a big hit? Personally, I'd say it's because of how the storyline and plot turned out. It's very intriguing and it doesn't just make the movie about boxing. The film adds some love between the protagonist and some other character, and not only that, but the movie teaches you something. Because Rocky lost to Apollo, Rocky didn't care. At least he still had Adrian. So, the movie teaches you that, even if you do lose, at least you still have something and/or someone with you.

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Answer:

the answer is 40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

x=15

2x-9= 21

x-6=9

Step-by-step explanation:

3x-15= 2x

x=15

2x-9= 21

x-6=9

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The logarithmic properties of a linear system are used to solve the equation.

The x-value of the intersection is x =46.

It is a system of an equation in which the highest power of the variable is always 1.

A one-dimension figure that has no width.

It is a combination of infinite points side by side.

Given

The pond can hold 400 water liters.

\(\rm y = 3.915(1.106)x\) is an expression.

Let x be the day and y be the hold of water.

When pond can hold 400 liters of water the x will be;

400 = 3.915(1.106)ˣ

(1.106)ˣ = 400/3.915    

(1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

x log (1.106) = log (102.17)                       [log aˣ = x loga] x = [log (102.17)/log (1.106)]    

x = 45.92

x = 46

Thus, the x-value of the intersection is x =46.

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Answer:

Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection

Step-by-step explanation:

Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5