There are a total of 65 toes in the pool. How many feet
are in the pool?
Please HELPP

Answer:

30 chocolate covered rasins

5 left over

Step-by-step explanation:

Step 1: 185 Divided by 6 and that gets you 30, and some left over.

Step 2: Do 6 x 30 and that gets 180

Step 3: Do 185 subtract 180 and then you get 5

Step 4: So 30 chocolate coverd raisins will go in each bag, and 5 will be left over.

Have a great day, Lord Bless :)

Answer:

The answer is C so it 40

Step-by-step explanation:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40

Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

Use the limit definition to find the slope of the tangent line to the graph of f at the given point. f(x) = 14 − x2, (3, 5)

The slope of the tangent line to the graph of f at (3, 5) is -6.

The slope of the tangent line to the graph of f at (3, 5) can be found using the limit definition of the slope. The slope of the tangent line can be calculated as the limit of the average rate of change of the function f(x) between two points as the distance between the points approaches zero. The formula is given by: lim _(h → 0) [f(x + h) - f(x)] / h

where h is the change in x, which is the difference between the x-value of the point in question and the x-value of another point on the tangent line. The given function is f(x) = 14 - x². To find the slope of the tangent line at x = 3, we need to calculate the limit of the average rate of change of f(x) as x approaches 3.

Using the formula,

lim_(h → 0) [f(x + h) - f(x)] / h

= lim_(h → 0) [(14 - (x + h)²) - (14 - x²)] / h

= lim_(h → 0) [14 - x² - 2xh - h² - 14 + x²] / h

= lim_(h → 0) [-2xh - h²] / h

= lim_(h → 0) [-h(2x + h)] / h

= lim_(h → 0) [-2x - h] = -2x

When x = 3, the slope of the tangent line is -2(3) = -6.

Therefore, the slope of the tangent line to the graph of f at (3, 5) is -6.

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Answer: mandatory and discretionary.

Answer:

\(1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ \)

Step-by-step explanation:

\(1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ \)

\(2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ \)

\(3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ \)

\(4. \: \: \: m = {75}^{o} (opposite \: angles)\)

To hide the last two rows in a table view in Swift and set their row heights to 0, you can modify the table view's delegate method `heightForRowAt` for the respective rows.

In Swift, you can achieve this by implementing the UITableViewDelegate protocol's method `heightForRowAt`. Inside this method, you can check if the indexPath corresponds to the last two rows (in this case, rows 9 and 10). If it does, you can return a row height of 0 to hide them from the view. Here's an example of how you can write this logic:

```swift

func tableView(_ tableView: UITableView, heightForRowAt indexPath: IndexPath) -> CGFloat {

   let numberOfRows = tableView.numberOfRows(inSection: indexPath.section)

   if indexPath.row == numberOfRows - 2 || indexPath.row == numberOfRows - 1 {

       return 0

   }

   return UITableView.automaticDimension

}

```

In the above code, `tableView(_:heightForRowAt:)` is the delegate method that returns the height of each row. We use the `numberOfRows(inSection:)` method to get the total number of rows in the table view's section. If the current `indexPath.row` is equal to `numberOfRows - 2` or `numberOfRows - 1`, we return a height of 0 to hide those rows. Otherwise, we return `UITableView.automaticDimension` to maintain the default row height for other rows.

By implementing this logic in the `heightForRowAt` method, the last two rows in the table view will be effectively hidden from the view by setting their row heights to 0.

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Answer:

\(m= 20b-45\)

Step-by-step explanation:

Given data

The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20

This means that her profit = $20

the number of birdhouses = b

cost of tools= $45

Hence the amount she earns from selling b houses is given as

\(m= 20b-45\)

Step-by-step explanation:

The amount of KNO3 that will precipitate out of a saturated solution upon cooling depends on the solubility of KNO3 at the two different temperatures. The solubility of a substance in a solvent is temperature-dependent, meaning that the solubility of a substance may increase or decrease with changes in temperature.

To determine the amount of KNO3 that will precipitate, we need to know the solubility of KNO3 at 50°C and 20°C. This information is usually available in a solubility table or from experimental data. If we know the solubility of KNO3 at 50°C and 20°C, we can calculate the amount of KNO3 that will precipitate by comparing the amount of KNO3 in the saturated solution at 50°C with the maximum amount that can be dissolved at 20°C.

Without knowing the specific solubility values, it is not possible to accurately determine the amount of KNO3 that will precipitate upon cooling.

Answer:

60 dollars chris needs.

Step-by-step explanation:

100 minus 40

Answer:

This is what it would look like! Hope this helps!

Answer:

W = 59 degree

Y = 59 degree

Z = 53 degree

x = 121 degree

v = 121 degree

Step-by-step explanation:

W = 59 degrees because a triangle has a total of 180 degrees, and we know 2 of the angles, one is 31 degrees and the other is 90 degrees, so

90 + 31 = 121

180 - 121 = 59 degrees

So, W = 59 degrees

Y = 59 degrees because w and y are vertical angles.

z = 53 degrees because

68 + 59 = 127

180 - 127 = 53 degree

So, z = 53 degree

x = 121 degree, y = 121 degree because w, x, y, v add up to 360 degree

59 + 59 = 118

360 - 118 = 242

242 / 2 = 118 degree

So, x and y equal to 118 degrees.

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Answer:

2 : 1

Step-by-step explanation:

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

AC : DF = 8 : 4 = 2 : 1

The system described in the question can be presented diagrammatically as shown below:

We can then bring out a diagram to solve as follows:

The angle θ is the required angle that we are to solve for.

We can use the Tangent Trigonometric Ratio to solve. The ratio is given to be

From the triangle,

Substituting these values, we have

We can then find the angle to be

The angle between the ladder and the wall is 27.8°.

The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

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Answer:

definition of perpendicular lines

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

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The correct answer is: A. Begin inequality . . . 0 < x ≤ 256 . . . end inequality

To determine a reasonable domain for the function ƒ(x) = 2x, we need to consider the context of the problem.

The function represents the area in mm2 that the bacterial culture covers each day. The maximum area that the bacteria can cover is 256 mm2, as stated in the problem.

Since the function represents the area covered each day, it wouldn't make sense to have a negative number of days (x) or to have more than 256 days (x) since that would exceed the maximum area.

Therefore, a reasonable domain for this function would be a range of days starting from 0 (the initial day) up to and including the day when the bacterial culture fully covers the petri dish, which is 256 mm2.

The correct answer is:

A. Begin inequality . . . 0 < x ≤ 256 . . . end inequality

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The correct answer among the choices provided is A. 11.48.

Given that side XY of triangle XYZ corresponds to side JK of triangle JKL, we can set up the following proportion:

XY/JK = YZ/LJ

Substituting the given values:

8.7 / 12.18 = 7.8 / LJ

We solve this for LJ:

LJ = (7.8 * 12.18) / 8.7

Calculating that gives us:

LJ ≈ 11.48

So, the correct answer among the choices provided is A. 11.48.

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Answer:

Answer would be D

Step-by-step explanation:

Answer:

5.05*10³

Step-by-step explanation:

your computer has virus

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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Answer: See explanation

Step-by-step explanation:

A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:

= $12.49 / 20

= $0.6245

The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:

= $7.20 / 12

= $0.6

Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.

The difference between the costs of one battery from each pack will be:

= $0.6245 - $0.60

= $0.0245

Answer:

$0.0245

Step-by-step explanation:

The B coordinate vector for \($-1+2t$\) will be:

\(\[\begin{bmatrix}c_1 \\c_2 \\c_3 \\\end{bmatrix}\]\)

What is linear algebra?

Linear algebra is a branch of mathematics that deals with the study of vector spaces, linear transformations, and systems of linear equations. It focuses on the properties and operations of vectors and matrices, as well as their relationships and transformations.

To find the B coordinate vector for a given vector in the standard basis, you need to express that vector as a linear combination of the basis vectors of B. Here's how you can approach it:

1. Given vector:\($-1+2t$\)

2. Write the given vector as a linear combination of the basis vectors of B:

\($-1+2t = c_1(1-2t+t^2) + c_2(3-5t+4t^2) + c_3(2t+3t^2)$\)

3. Equate the coefficients of corresponding terms:

 \($-1 + 2t = c_1 + 3c_2$\\\\ $0t = -2c_1 - 5c_2 + 2c_3$ \\ \\$0t^2 = c_1 + 4c_2 + 3c_3$\)

4. Solve the system of equations to find the values of \(c_1$, $c_2$, and $c_3$.\)

By solving the system of equations, you can find the values of \(c_1$, $c_2$, and $c_3$\) , which will form the B coordinate vector for the given vector \(-1+2t$.\) Substitute the values back into the linear combination equation to obtain the B coordinate vector.

Once you have the values of \($c_1$, $c_2$, and $c_3$,\) the B coordinate vector for \($-1+2t$\) will be:

\(\[\begin{bmatrix}c_1 \\c_2 \\c_3 \\\end{bmatrix}\]\)

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Answer:

Answer is 25°

Step-by-step explanation:

let me know if you got it correct

We will simplify the left hand side of the equation to look like the right

\(\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}\)

taking the LCM

\(\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}\)

expanding the binomial in the numerator

\(\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

Since sin²x + cos²x = 1

\(\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

factoring out the 2 from the numerator

\(\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

1-sin(t) will cancel out

\(\displaystyle \frac{2}{cos^{2}(t)}\)

since cos²(t) = 1/(sec²(t))

\(2 sec^{2}(t)\)

which is equal to the right hand side of our given equation.

So we verified the identity!

Answer:

\(\rm 2 \sec {}^{2} T\)(Verified identity)

Step-by-step explanation:

Please refer to the attachment for calculations.

I hope this helps!

Answer:

Step-by-step explanation: