Write a unit rate for 53 pages in 2 hours

We predict that there will be 512 viruses in the dish after 7 hours.

To model the population growth of the viruses in the dish, we can use a geometric sequence with a common ratio of 2, because the number of viruses doubles every hour.

Let Vn be the number of viruses in the dish after n hours. Then we have:

Recursive formula: Vn = 2Vn-1, with V0 = 4 (since we start with 4 viruses).

Explicit formula: Vn = 4 × 2n.

To predict how many viruses will be in the dish by the 7th hour, we can plug n = 7 into the explicit formula:

V7 = 4 × 27 = 4 × 128 = 512.

Therefore, we predict that there will be 512 viruses in the dish after 7 hours.

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Answer:

I'm glad you asked!

Step-by-step explanation:

Step 1:Order the numbers from least to greatest.

\(22,37,41,48,52,54,65,71,71,81\)

Step 2:Now find the middle number.

\(22,37,41,48\),52,54\(,65,71,71,81\)

Step 3:Since there are two numbers,we add them together then divide by 2.

\(52+54 =106\)

\(106/2=53\)

The median is 53.

Answer:

53

Step-by-step explanation:

The total amount that Noah paid for the cartridge is $30.35

A sales tax is one that applies to the purchase of goods and services for consumers and to the sale of goods and services for businesses.

Given that, Noah bought a computer cartridge for $28.50. Sales tax on the cartridge was 6.5%.

We need to find the total amount that Noah paid for the cartridge,

Total amount = sales tax + original cost

Total amount = 6.5% of 28.50 + 28.50

= 6.5 / 100 × 28.50 + 28.50

= 30.35

Hence, the total amount that Noah paid for the cartridge is $30.35

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Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch

There are  212520  ways by which guests arrange themselves on a four person coach.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

there are total 23 guests and they arranged themselves in 4 person coach,

so,

n = 23 and r = 4

npr = n!/(n-r)!

= 23!/(23-4)!

= 23!/19!

= 23x 22 x 21 x 20x 19!/19!

now cancel the factorial 19 from numerator as well as denominator

=  23x 22 x 21 x 20

= 212520

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Answer:

1.375 pounds

Step-by-step explanation:

We want to find how many pounds of candy he has left.

He bought 5 pounds.

He gave out 3 pounds.

He ate 10 ounces. Converting 10 ounces to pounds:

1 ounce = 0.0625 pounds

10 ounces = 10 * 0.0625 = 0.625 pounds

Therefore the amount of candy he has left is:

5 - (3 + 0.625)

= 5 - (3.625)

= 1.375 pounds

Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

We need to find the function f(n) whose terms are the same as the series in question. We can then integrate this function from n=1 to infinity and determine if the integral is convergent or divergent. If it is convergent, then the series is convergent. If it is divergent, then the series is also divergent.

To determine whether a series is convergent or divergent using the integral test, we need to first check if the series satisfies three conditions:

1) The terms of the series are positive.

2) The terms of the series are decreasing.

3) The series has an infinite number of terms.

Assuming these conditions are satisfied, we can use the integral test which states that if the integral of the function f(x) from n=1 to infinity is convergent, then the series with terms a_n = f(n) is also convergent. Conversely, if the integral is divergent, then the series is also divergent.

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The main concern in the scenario of a 9-year-old boy being hospitalized for 2 weeks is his emotional well-being. So correct answer is option a.

Hospitalization can be a stressful and challenging experience for anyone, especially for a young child. The main concern in this scenario is ensuring the emotional well-being of the boy during his hospital stay. Being away from home, undergoing medical treatments, and experiencing a disrupted routine can lead to feelings of fear, anxiety, and sadness. It is crucial to provide appropriate emotional support, create a comforting environment, and address the child's emotional needs to minimize distress and promote a positive experience during the hospitalization.

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Answer:

35

Step-by-step explanation:

A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Answer:

$54

Step-by-step explanation:

36 divided by 2= 18

$36+$18=$54

The transfer function T(s) = (s² + 3s + 7)(s + 1)(s² + 5s + 4) can be represented in a block diagram as a combination of summing junctions, integrators, and transfer functions.

In the given transfer function T(s) = (s² + 3s + 7)(s + 1)(s² + 5s + 4), we have three distinct factors in the numerator and three distinct factors in the denominator. Each factor represents a specific component in the block diagram.

The first factor (s² + 3s + 7) corresponds to a second-order transfer function with natural frequency and damping factor. This can be represented by a block with two integrators in series and a summing junction.

The second factor (s + 1) represents a first-order transfer function, which can be depicted as an integrator.

The third factor (s² + 5s + 4) represents another second-order transfer function with natural frequency and damping factor.

By combining these individual components in the block diagram, we can obtain the overall representation of the transfer function.

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Answer:

Circumference is a special case of perimeter. Both describe the total length of the boundary of a two dimensional figure, but circumference specifically refers to the perimeter of a curved figure or arc. Therefore it only applies to circles, ovals, ellipses, arcs, etc.

Answer:

Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.

So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.

An 8-foot stack of nickels has a value of approximately $76.80.

The value of an 8-foot stack of nickels can be calculated by finding the number of nickels in the stack and multiplying it by the value of a single nickel. Given that a stack of 100 nickels has a height of 6.25 inches, we can determine the number of nickels in an 8-foot stack and then multiply it by $0.05 to find the value in dollars. The final answer, rounded to the nearest hundredth, will give us the value of the stack in dollars.

First, we need to convert the height of the stack from inches to feet. Since there are 12 inches in a foot, an 8-foot stack would be equivalent to 8 * 12 = 96 inches.

Next, we calculate the number of nickel stacks in the 8-foot stack by dividing the total height by the height of a single stack. In this case, the height of a single stack is 6.25 inches. Therefore, the number of nickel stacks in the 8-foot stack is 96 / 6.25 = 15.36.

Since each stack consists of 100 nickels, the total number of nickels in the 8-foot stack is 15.36 * 100 = 1536.

Finally, to find the value in dollars, we multiply the number of nickels by the value of a single nickel, which is $0.05. Thus, the value of the 8-foot stack of nickels is 1536 * 0.05 = $76.80, rounded to the nearest hundredth.

In conclusion, an 8-foot stack of nickels has a value of approximately $76.80.

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Answer:

Expected value is -3

You should not play

Step-by-step explanation:

five are red, five are green, 10 yellow

P(red) = red/total = 5/20 = 1/4

P(green) = green/total = 5/20 = 1/4

P(yellow) = yellow/total =10/20 = 1/2

Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play

                             =18/4 + 10/4 - 10

                            =28/4 -10

                             =7-10

                             = -3

You should not play

Multiply the average by the number of exams to find total points:

8 x 55 = 440

9 x 60 = 540

The score of the 9th exam is the difference between the two totals:

540 - 440 = 100

They scored a 100

the exponential statement to an equivalent statement involving a logarithm.

log base 8 of 512 = 3

To change the exponential statement 512 = 8^3 to an equivalent statement involving a logarithm.

Step 1: Identify the base of the exponential expression. In this case, the base is 8.

Step 2: Identify the exponent. In this case, the exponent is 3.

Step 3: Write the logarithmic statement using the base, exponent, and result (512). The general form of a logarithmic statement is log_base(result) = exponent.    

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.    
     
Your answer: log_8(512) = 3

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Answer:

k = 3/4

Step-by-step explanation:

Parallel lines have the same slope so first, we need to find the slope of 8x + 6 = 2y. To do so, we can do the following:

8x + 6 = 2y

2y = 8x + 6

y = 4x + 3 (This is now in slope intercept form - y = mx + b where m = slope and b = y-int.)

Therefore, the slope is 4. Now, we can do:

3x = ky - 10

3x - 10 = ky

(3x / k) - (10 / k) = y

y = (3x / k) - (10 / k)  (where k ≠ 0)

Now that the second line is in slope-intercept form, we can set the two x terms equal to each other, therefore:

3x / k = 4x

3x = 4x * k

3x / 4x = k

k = 3/4

Answer:

Step-by-step explanation:

= 8^3+7+8+(9*2/3)*2= 8^3+7+8+(18/3)*2= 8^3+7+8+(6)*2= 8^3+7+8+6*2= 512+7+8+6*2= 512+7+8+12= 519+8+12= 527+12= 539

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer: 250

Step-by-step explanation:

20% of 15,000 is 3,000

3,000/12=250

Answer:

$3000 Per Month

Step-by-step explanation:

Hi there,

How I like to solve these is first take the total number (15,000) and divide it by 100 to then find how much 1% of 15,000 is.

So :

15,000 / 100

=

150

Now we know :

1% = $150

We need to find 20% now so all we do is multiply.

150 x 20

($150 x 20%)

= $3,000 Per Month

I hope this helps!

If you have any questions or concerns be sure to comment or message me ! :)

EDIT : The other person is most likely right. I am 17 and dont have insurance yet Lol

Therefore, the probability that the Islanders will win exactly three out of six games in a series against the Rangers is approximately 0.2677.

To calculate the probability that the Islanders will win exactly three out of six games in a series against the Rangers, we can use the binomial probability formula.

The formula is:

\(P(X = k) = (^nC_k) * p^k * (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of exactly k successes (Islanders wins),

n is the number of trials (number of games in the series, which is 6 in this case),

k is the number of successes (number of wins, which is 3 in this case),

p is the probability of success in a single trial (probability of Islanders winning a game, which is 0.24),

(\(^nC_k\)) is the number of combinations of n items taken k at a time.

Using the formula, we can calculate the probability as follows:

\(P(X = 3) = (^6C_3) * 0.24^3 * (1 - 0.24)^{(6 - 3)\)

\(P(X = 3) = (^6C_3) * 0.24^3 * 0.76^3\)

\(P(X = 3) = 20 * 0.24^3 * 0.76^3\)

P(X = 3) ≈ 0.2677

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Answer:

exponential relation

Step-by-step explanation:

A lift force is a force that is exerted by a fluid which has its component in the perpendicular direction flow direction of the fluid.

The relationship between the lift force and the vesicle radius is best described by the exponential relationship.

In an exponential relationship, the slope between the lift force and the vesicle  radius is very increasing at a very high rate. As the radius increases, the lift force increase at a higher rate.

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Answer:

My guy, this is what you need to do

Answer: 260 gallons

Step-by-step explanation:

An estimate of 26.5​% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning​,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday.

I'm cracked at Fortnite my guy

Answer:

? question ?

Step-by-step explanation:

Answer: The exact distance between the 2 points is √2, but the approximate distance is 1.41421356 (repeating decimal)

Hope this helped :D

The graph of the exponential function f(x) = 0.1(3)ˣ passes through the ordered pairs (-1, 0.033), (0, 0.1), (2, 0.9) and falls to the left.

The general formula for exponential functions is;

y = a(b)ˣ

Now, we are given the exponential function as;

f(x) = 0.1(3)ˣ

When x = -1,

y = 0.1(3)⁻¹ = 0.033

When x = 0,

y = 0.1(3)⁰ = 0.1

When x = 1,

y = 0.1(3)¹ = 0.3

When x = 2,

y = 0.1(3)² = 0.9

Thus, the table will be plotted with the following values;

(-1, 0.033), (0, 0.1), (1, 0.3), (2, 0.9)

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