Last year, there were 3, 400,000 visitors to a national park and, on average, each visitor spent 22 hours in the park. How many visitors, on average, were in the park, last year, simultaneously?

Answer:

3.4 in²

Step-by-step explanation:

Information we must know:

1) Find the area of the circle

2) Find the area of the square around the circle

3) Subtract!

Have a lovely day :)

Answer:

3.4 in²

Step-by-step explanation:

We can solve for the area of the blue portion of this figure by subtracting the area of the circle (the area that is NOT blue) from the area of the surrounding square.

First, we can solve for the area of the square using arithmetic.

In this problem, the side length is twice the radius (\(r\)) of the circle (given as 2 in), since the circle is circumscribed inside the square, meaning that it touches the square at all 4 midpoints of its sides.

\(\textrm{side length} = 2r\)

\(\textrm{side length} = 2(2 \, \textrm{in})\)

\(\textrm{side length} = 4 \, \textrm{in}\)

Now we can solve for the area of the square using the formula:

\(\textrm{Area}_\square = \textrm{side length}^2\)

\(\textrm{Area}_\square = (4 \, \textrm{in})^2\)

\(\textrm{Area}_\square = 16 \, \textrm{in}^2\)

Next, we can solve for the area of the circle using the formula:

\(\textrm{Area}_\circ = \pi r^2\)

Remember that the radius of the circle was given as 2 in.

\(\textrm{Area}_\circ = \pi (2 \, \textrm{in})^2\)

\(\textrm{Area}_\circ = 4\pi \, \textrm{in}^2\)

Finally, we can solve for the area of the blue portion of the figure by subtracting the area of the circle from the area of the square.

\(\textrm{Area}_{\textrm{blue}} = A_\square - A_\circ\)

\(\textrm{Area}_{\textrm{blue}} = 16 \, \textrm{in}^2 - 4\pi \, \textrm{in}^2\)

If we plug this into a calculator, we approximately get:

3.4 in²

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

The coordinates of R are (2,3) which represents an intersecting point of the given lines.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The lines are given in the question, as follows:

y = x+1 ...(i)

x+2y = 8  ...(ii)

Since both lines intersect at R.

Substitute the value of equation (i), in (ii), and we get

x+2(x+1) = 8

x + 2x + 2 = 8

3x = 8 - 2

3x = 6

x = 2

Substitute the value of x = 2 in equation (i),

y = 2 + 1

y = 3

Thus, the coordinates of R are (2,3).

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The question seems incomplete, the correct question would be as:

If the lines y=x+1 and x+2y=8 intersect at R, find the coordinates of R. Show this the coordinate plan.

The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.

To convert Decimal into Fraction form:

Do the following Steps:

Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.

Step 2: Remove the decimal places by multiplication.

Step 3: Reduce the fraction.

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Given,

The smallest flowering plant is the flowering aquatic duckweed found in Australia.

And it is 0.0236 inch long and 0.0129 inch wide.

Here we need to write these dimensions as fractions in simplest form.

Rewrite the decimal number as a fraction with 1 in the denominator

So,

=> 0.0236/1 and 0.0129/1

Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.

Then we get,

=> 236/10000 and 129/10000

Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,

=> 59/2500

But the fraction 129/10000 is not reducible.

Therefore, the fraction form is,

=> 59/2500 in. long and 129/10,000 in. wide.

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Answer:

he rode for 7 hours because 59-17=42    42 divided by 6 is 7. so Tim rode for 7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

6x7=42+17=59

No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

ME

Step-by-step explanation:

if it is a negative exponent, you have to change it

8^5times 8^9 I think

Answer:

I don't but i can see if my shadow clones do! MULTI SHADOW CLONE JUTSU!!!!

Step-by-step explanation:

They don't...

To find the depth of water in the tank at t = 3 minutes, we need to calculate the volume of water that has been pumped into the tank by that time.

The rate at which water is pumped into the tank is given by r(t) = 100 - 6t ft^3/min.

To find the volume of water pumped into the tank from t = 0 to t = 3, we integrate the rate function over the interval [0, 3]:

V = ∫[0, 3] (100 - 6t) dt

V = [100t - 3t^2/2] evaluated from 0 to 3

V = (100(3) - 3(3)^2/2) - (100(0) - 3(0)^2/2)

V = (300 - 27/2) - 0

V = 300 - 13.5

V = 286.5 ft^3

The volume of water pumped into the tank after 3 minutes is 286.5 ft^3.

To find the depth of water in the tank, we need to divide this volume by the cross-sectional area of the tank.

The tank has a radius of 6 feet, so its cross-sectional area is given by:

A = πr^2

A = π(6)^2

A = 36π ft^2

Now, we can find the depth of water:

depth = V / A

depth = 286.5 / (36π)

depth ≈ 2.53 ft

Therefore, the depth of water in the tank at t = 3 minutes is approximately 2.53 feet.

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Answer:

Yes L is parallel to M because they are going the same direction on the graph.

Answer:

  x = 10

Step-by-step explanation:

Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.

  x² +(√200)² = (√300)²

  x² = 300 -200

  x = √100 = 10

The length of the unknown side is 10 units.

Hi, you've asked an incomplete question. However, I provided a brief explanation about surface areas.

Explanation:

Surface area is a term commonly used in mathematics, and other branches of science, and it basically refers to a calculation of the total space that an object occupies.

For example, you can find the surface areas of a cuboid using the formula:

\(6s^{2}\) where s= side length.

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

7x - x = 3

6x = 3

x=1/2

y=7(1/2)

y=3 1/2

Answer:

John is growing at a faster rate.

Step-by-step explanation:

John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...

Answer:

Step-by-step explanation:

6x - 7(13) < 200

6x - 91 < 200

6x < 291

x < 291/6

x < 97/2

Answer:

\( x < 48.5\)

Step-by-step explanation:

\(6x - 7y < 200 \\ 6x - 7 \times 13 < 200 \\ 6x - 91 < 200 \\ 6x < 200 + 91 \\ 6x < 291 \\ x < \frac{291}{6} \\ x < 48.5\)

Hope this helps you

can I have the brainliest please?

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{KL}{EF}\) = \(\frac{JK}{DE}\) , substitute values

\(\frac{6x+3}{x+11}\) = \(\frac{25}{10}\) ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

Answer:

2431.01

Step-by-step explanation:

If the value of apple = x

The value of pear = x + 2 cents

The porosity of the sand sample is 90.25%.(The sediment volume for each sample is 400ml. ) (Option A).

Porosity is a measure of the void space or the volume percentage of empty spaces within a material. In this case, the sediment volume for each sample is given as 400ml. To calculate the porosity, we need to determine the volume of the void spaces in the sand sample. Since the provided options are in percentage form, we can convert the porosity to a percentage by dividing the void space volume by the total sediment volume (400ml) and multiplying by 100. The option that represents this calculation as 90.25% is the correct answer.

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There are 3 balanced strings in set T.

To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.

We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.

By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.

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Answer:

3

Step-by-step explanation:

Answer:

\(f\left(2,3,1\right)=\bold{14}\)

Step-by-step explanation:

Given the function:

\(f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}\)

To find:

The value of \(f(2, 3, 1)\) = ?

Solution:

\(f(2, 3, 1)\) means the values of \(x, y\ and\ z\) as:

\(x=2\\y=3\\z=1\)

Let us put the given values in the given function and let us solve for it:

\(\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}\)

Therefore, the answer is:

\(f\left(2,3,1\right)=\bold{14}\)

Answer:

a) For Cole = 60%

b) For Jamie = 72 %

Step-by-step explanation:

Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.

What percent of their goal did each boy raise so far?

a) Percent of Cole's goal

= Amount raised by Cole/ Total amount × 100

= $150/$250 × 100

= 60%

b) Percent of Jamie's goal

Amount raised by Jamie / Total amount × 100

= $180/$250 × 100

= 72%

Answer:

A or b not to sure

Step-by-step explanation:

Answer:

x^3+12-2x

Step-by-step explanation:

x^2.x=x^3

4.3=12

Sobra -2x

The other set of three consecutive odd integers that satisfy the given conditions are 15, 17, and 19.

The given conditions state that the square of the third integer is 15 greater than the sum of the squares of the first two integers. Let's verify if this is true for the set of integers 3, 5, and 7:

Sum of squares of first two integers = 3^2 + 5^2 = 9 + 25 = 34

Square of the third integer = 7^2 = 49

49 is indeed 15 greater than 34, satisfying the condition.

Now, let's find another set of three consecutive odd integers that satisfy the condition. Starting with the number 15, the next two consecutive odd integers would be 15 + 2 = 17 and 17 + 2 = 19.

Sum of squares of first two integers = 15^2 + 17^2 = 225 + 289 = 514

Square of the third integer = 19^2 = 361

361 is indeed 15 greater than 514, satisfying the condition.

Therefore, the other set of three consecutive odd integers that satisfy the given conditions are 15, 17, and 19.

By checking the given condition with the set of integers 3, 5, and 7, we confirm that it satisfies the requirement. We then find the next set of consecutive odd integers by incrementing each number by 2 starting from 15. By verifying that the condition holds for the set 15, 17, and 19, we conclude that these three integers also satisfy the given conditions.

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Answer: 2(7bx^13+6)

Step-by-step explanation:

Factor 2 out of 14bx13

14bx13 + 12  =   2 • (7bx13 + 6)

Answer:

182b +12

Step-by-step explanation:

14b × 13 +12

(14×13)b +12

182b +12