A turtle swims at a speed of 1584 meters per hour. A girl swims at a speed of 1380 millimeters per second how much faster does the girl swim than the turtle in centimeters per minutes?

The proportion in the population who will respond "no" is 0.25

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given:

Total people surveyed= 400

people say 'yes'= 300

people say 'no' = 100

Now, proportion in the population who will respond "no" is

= 100/400

=1/40

= 0.25

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The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the center of dilation is:

                           C'(27,9)

Dilation transformation--

A dilation transformation is a transformation which changes the size of the original figure but the shape remain unchanged.

i.e. if any figure is dilated by a scale factor k with the center of dilation as origin.

Then the change pr transformation in each of the vertices of the figure is given by:

       (x,y) → (kx,ky)

We are given a point C which is located at C(9,3)

Hence, here k=3

Hence, we get:

      C(9,3) → C'(9×3,3×3)

i.e. C(9,3) → C'(27,9)

Answer:

C: 1   -2

   2  -10

   3   -18

   4   -26

Step-by-step explanation:

how because its me i'm always right

Answer:

Maximum area = 10000 square units.

Step-by-step explanation:

We are given the following information:

Rectangular perimeter of coral =  400 units.

Let length of the coral be x. Then,

Perimeter = 400 = 2(Length +Breadth)

[tex]400 = 2(x + Breadth)\\Breadth = 200 - x[/tex]

Thus, the area of rectangle is given by,

[tex]Area = Length\times Breadth = x\times (200-x) = 200x - x^2[/tex]

Thus, we have to maximize the function:

[tex]f(x) = 200x - x^2[/tex]

We will use double derivative test.

First we differentiate with respect to x.

[tex]\displaystyle\frac{d(f(x))}{dx} = \displaystyle\frac{d(200x - x^2)}{dx} = 200 - 2x[/tex]

Equating this to zero to obtain critical points,

[tex]200 - 2x = 0\\200 = 2x\\x = 100[/tex]

Now, again differentiating with respect to x.

[tex]\displaystyle\frac{d^2(f(x))}{dx^2} = -2 < 0[/tex]

Thus, by double derivative test, local maxima occurs for this function at x = 100

So, Length = x = 100 units

Breadth = 200 - x = 100 units

Maximum area = 10000 square units.

Answer: n<7k+2p-4

Step-by-step explanation:

The earnings of Jill Hartman for the week is A = $1,305

Given data ,

To calculate Jill's earnings for the first week, we need to determine the amount of sales in excess of $6,500 and then calculate her additional earnings based on that amount.

Sales in excess of $6,500 = Total sales - $6,500 = $25,000 - $6,500 = $18,500

Now we can calculate Jill's additional earnings based on the sales in excess of $6,500:

Additional earnings = 3% of sales in excess of $6,500 = 0.03 * $18,500

Additional earnings = $555

Finally, we can calculate Jill's total earnings for the first week by adding her base salary to her additional earnings:

Total earnings = Base salary + Additional earnings = $750 + $555

Total earnings = $1,305

Hence , Jill's earnings for the first week, with sales of $25,000, are $1,305

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Answer:

The answer is

247.903=200.000+47.000+7.000+0.900+0.003

Step-by-step explanation:

In order to determine the expanded form, we have to know about the rule. The expanded form is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression.

For example:

6.432 in expanded notation form is 6.000 + 0.400 + 0.030 + 0.002

In this case:

247.903=200.000+47.000+7.000+0.900+0.003

Answer:

Step-by-step explanation:

Givens

According to the problem, each 2 inches are equivalent to 8 miles of actual distance.

The scale factor can be found by dividing

[tex]s=\frac{2}{8}=\frac{1}{4}[/tex]

Therefore, the scale factor of Vector's map is 1/4, because the actual distance is 4 times bigger.

Final answer:

To determine the radius and height of the cylindrical tank with a given volume of 15.71 cubic meters, where height is 4 meters greater than the radius, we use the volume formula for a cylinder, resulting in a cubic equation that must be solved.

Explanation:

The question asks for the radius of the top and the height of a cylindrical tank with a volume of 15.71 cubic meters, where the height is 4 meters greater than the radius. The formula for the volume of a cylinder is V = πr²h, where V is volume, r is radius, and h is height. Since h = r + 4, we can write the equation in terms of r as V = πr²(r + 4).

To find the radius, we substitute the given volume, 15.71 m³, into the equation:

15.71 = πr²(r + 4)

This results in a cubic equation which we need to solve to find the value of r. After solving (which may require numerical methods or approximations due to the complexity of cubic equations), we find the value of the radius and can then determine the height by adding 4 meters to the radius.

The value of (goh)(3) is 26.

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

given:

g(x) = 2x , h(x) = x²+4

Now,

(goh)(3)

=g(h(3))

=g(9+4)

=g(13)

=2*13

=26

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The inverse function of the above function is f(x) = 2x - 8 and therefore the function at 4 would be equal to 0.

You can find the inverse of any function by switching the f(x) and x terms. Once you have done that, solve for the new f(x). Finally, what you'll have remaining is the inverse function. The work is done for you below:

f(x) = 1/2x + 4 ----> Switch the x and f(x)

x = 1/2f(x) + 4 ---> subtract 4 from both sides

x - 4 = 1/2f(x) ----> multiply both sides by 2

f(x) = 2x - 8

This would be your inverse function. Now to find f-1(4) you would put 4 in for x in your new inverse function.

f(x) = 2x - 8

f(4) = 2(4) - 8

f(4) = 8 - 8

f(4) = 0

In 1994, it will the price reach $5.00.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We are given with the equation as,

⇒ [tex]p(t) = 1.1 e^{0.047t}[/tex]

where p represents the price, t represents the time in years. price varies exponentially with time.

Now, If p is 5 dollars in the future,

Then, We can formulate;

5 =  [tex]1.1 e^{0.047t}[/tex]

ln 4.54 = 0.047 t

0.657 = 0.047 t

t = 13.97

t = 14 years

t = 14 years or year 1994.

Thus, In 1994, it will the price reach $5.00.

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The height of the tree is 18.46 feet.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A 6 foot tree casts a 3.25 ft shadow.

let the height of the tree who cast shadow 10 ft.

So, Using Proportion

6 / 3.25 = x / 10

60 = 3.25 x

x= 60/ 3.25

x= 18.46 feet

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Final answer:

To determine the height of a tree that casts a 10 ft shadow, using the ratio from a 6 ft tree that casts a 3.25 ft shadow, we find the tree is approximately 18.46 feet tall through the concept of similar triangles.

Explanation:

The question asks how tall a tree is that casts a 10 ft shadow, given that a 6 ft tree casts a 3.25 ft shadow. This problem can be solved using the concept of similar triangles, where the ratio of the heights of the trees is equal to the ratio of the lengths of their shadows.

To find the height of the tree that casts a 10 ft shadow, we set up the proportion as follows:

Height of first tree / Shadow of first tree = Height of unknown tree / Shadow of unknown tree

Substituting the given values:

6 ft / 3.25 ft = Height of unknown tree / 10 ft

By cross-multiplying and solving for the height of the unknown tree, we get:

(6 ft × 10 ft) / 3.25 ft = 18.46 ft

Therefore, a tree that casts a 10 ft shadow is approximately 18.46 feet tall.

Answer:

7 glasses

Step-by-step explanation:

Given: Jessica is filling glasses with water. Each glass holds [tex]\frac{3}{5}[/tex] cup of water. She pours [tex]4\frac{1}{5}[/tex] cups of water into the glasses.

To find: The number of glasses she fill with water.

Solution:

Each glass holds [tex]\frac{3}{5}[/tex] cup of water.

She pours [tex]4\frac{1}{5}[/tex] cups of water into the glasses.

To find the number of glasses she fill with water, we need to divide the total volume of water with the volume in each glass.

So, the number of glasses she fill with water can be calculated as

[tex]=\frac{4\frac{1}{5}}{\frac{3}{5}}[/tex]

[tex]= \frac{\frac{21}{5}}{\frac{3}{5} }[/tex]

[tex]=\frac{21}{5}\times\frac{5}{3}[/tex]

[tex]=\frac{21}{3}[/tex]

[tex]=7[/tex]

So, she can fill 7 such glasses with water.

Answer:

121,854

Step-by-step explanation:

Initial population of the town A= 39194

rate growth of population R= 6.9%= 0.069

we need to find the population after n = 17 years

we can find that easily using growth rate formula

A= P(1+R/100)^n

A= 39194(1+0.069)^17

= 121,854

therefore population at the end of 17 years= 121,854

Your answer is B..........

Answer:

[tex]A=1000(1+\frac{0.023}{12})^{12t}[/tex]

Rate of interest (r) = 0.19% monthly

Step-by-step explanation:

Given: The total amount of money in a saving account after t years.

[tex]A=1000(1.023)^t[/tex]

Formula:

[tex]A=P(1+r)^t[/tex]

Now we compare this formula with with given model.

P=1000

Rate of interest annually (r) = 0.023

Time = t

We need to change into monthly interest

New rate will divide by 12

New time will multiply by 12

[tex]r=\frac{0.023}{12}=0.0019[/tex]

[tex]t=12\times t =12t[/tex]

Function for monthly rate

[tex]A=1000(1+\frac{0.023}{12})^{12t}[/tex]

Rate of interest (r) = 0.19% monthly

[tex]\text{Thus, Function Monthly interest rate: }A=1000(1+\frac{0.023}{12})^{12t}\text{ and Monthly Interest rate }= 0.19\%[/tex]