A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the​ pool's length?

Step-by-step explanation:

\(The \: constant \: of \: proportionality = \frac{take \: home \: pay}{nancy \: income}

\)

Answer:

1.25

Step-by-step explanation:

i took the test

Answer:

3 would go in the green one plus 1 and the blue one with have 2 ones and 3

yw

Step-by-step explanation:

Answer:

3 people have been in band

Step-by-step explanation:

Answer:

The interval from -12 to -7

The interval from 6 to 12.

Step-by-step explanation:

The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)

Here is the equation:

log(x² - 81) = 0.47712

This can be expressed in exponential form:

x² - 81 = 10^(0.47712)

x² = 81 + 3.02343

x² = 84.02343

x ≈ ± 9.1658

The answers are therefore x -9.1658 and x 9.1658.

These intervals are where these solutions occur:

The answer, x -9.1658, can be found in the range from -12 to -7.

- The answer x = 9.1658 is found in the range of 6 to 12.

The appropriate choices are:

- The range between -7 and -12; - The range between 6 and 12.

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

(a) This study is observational because the consultant is not manipulating any variables or imposing treatments on the machines.

(b) The factors are:

Machine (experimental factor): There are six machines, labeled A through F.

Carton (observational factor): There are 20 cartons selected randomly from each machine.

Deviation from 32 ounces (response variable): This is the weight difference between the actual fill amount and the target fill amount of 32 ounces.

The factor levels are:

Machine: A, B, C, D, E, F

Carton: 1, 2, 3, ..., 20

The factor-level combinations are all possible pairs of machine and carton, such as A-1, A-2, ..., F-20.

(c) This is a nested design because the 20 cartons selected from each machine are not interchangeable between machines.

(d) Here's an example code snippet in R to import the data and display the structure of the dataframe:

data <- read.csv("filling_machine_data.csv")

data$Machine <- factor(data$Machine)

levels(data$Machine)

Assuming the data is stored in a CSV file called "filling_machine_data.csv", the code reads in the data, coerces the Machine variable to a factor, and displays the factor levels of Machine

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Answer:

1 = 41

2 = 49

3 = 82

4 = 52

Step-by-step explanation:

Step-by-step explanation:

m<1 = 41

m<2 = 38

m<3= 79

m<4 = 52

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer: 4 units

Step-by-step explanation:

The given position function: \(x(t)=-t^3+6t^2-9t+42.\), where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

\(x(0)=-(0)^3+6(0)^2-9(0)+42=42\\\)

At, t=4,

\(x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38\)

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

2x=84

/2   /2

x=42

hope it helps!

if not, sorry...

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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The height of the plane above the ocean is approximately 15,000 meters to the nearest meter.

The angle of depression is an angle formed between a horizontal line (such as the ground, ocean surface, or any other reference plane) and a line of sight from an observer looking downward towards an object or point of interest that is located below the observer's line of sight.

According to the given information:

The angle of depression is the angle formed between the horizontal line (such as the ocean's surface) and the line of sight from an observer looking downward to an object (such as the island). In this case, the angle of depression is given as 45 degrees.

Given:

Angle of depression = 45 degrees.

Distance from airplane to island = 15,000 meters.

To find the height of the plane, we can use trigonometry. The tangent function is commonly used to relate angles of depression to the height of an object above the horizontal.

In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, the side opposite the angle of depression is the height of the plane, and the side adjacent to the angle is the distance from the airplane to the island.

Using the tangent function:

tan(angle of depression) = height of plane/distance to the island

Plugging in the given values:

tan(45 degrees) = height of plane / 15,000 meters

We can now solve for the height of the plane:

height of plane = tan(45 degrees) * 15,000 meters

Using a calculator, we find:

height of plane = 15000 * tan(45 degrees) ≈ 15000 meters (rounded to the nearest meter)

So, the height of the plane above the ocean is approximately 15,000 meters to the nearest meter.

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Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

Answer:

\(\Large \boxed{\frac{42}{23}}\)

Step-by-step explanation:

\(\displaystyle \frac{21}{40} \div \frac{23}{80}\)

Performing reciprocal of the second fraction.

\(\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}\)

Multiplying both fractions.

\(\Rightarrow \displaystyle \frac{1680}{920}\)

Simplifying the fraction.

\(\Rightarrow \displaystyle \frac{42(40)}{23(40)}\)

\(\Rightarrow \displaystyle \frac{42}{23}\)

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

The correct interpretation of the slope and y-intercept of the equation

y = 50 is:

A. The slope predicts a temperature increase of about 50° for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 0°.

In the given equation y = 50, the slope of 50 indicates that for every increase of 1 chirp per minute (x), the temperature (y) increases by approximately 50° Fahrenheit.

The positive slope suggests a positive correlation between the number of chirps per minute and temperature.

The y-intercept of 0 in this equation represents the temperature when the crickets are not chirping (x = 0). It implies that when there are no chirps per minute, the temperature is at 0° Fahrenheit.

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1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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Answer:

 =6mx^4−7x^4

Step-by-step explanation:

(6m−7)(x^4)

=(6m+−7)(x^4)

=(6m)(x^4)+(−7)(x^4)

\(\huge\text{Hey there!}\)

\(\mathsf{(6m - 7)\times4}\)

\(\mathsf{= (6m - 7)(4)}\)

\(\mathsf{= (6m - 7) 4}\)

\(\mathsf{= 4(6m - 7)}\)

\(\mathsf{= 4(6m) - 4(-7)}\)

\(\mathsf{= 6m(4) + (-7)(4)}\)

\(\mathsf{= 6m(4) - 7(4)}\)

\(\mathsf{= 6m - 28}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

2 numbers are possible, 64 and 96.

Therefore, option (c) is correct.

We can solve this question using trial and error method.

Given, an integer n's length is the number of prime factors whose product is equal to n.

Since we have to find a two-digit positive integer whose length is 6:

Let us take 2 as our first prime factor (as 2 is a prime number)

2*2*2*2*2*2 = 64.

Here, we have got 1 number with length 6.

Let us take 3 as our 2nd prime factor (as 3 is a prime number).

3*3*3*3*3*3 = 96.

Here, we have got 2 numbers with length 6.

Now, let us try:

2*2*2*2*2*3 = 144

Since we need only 2 digit numbers, this is not possible.

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Answer:

B

Step-by-step explanation:

∠ U = ∠ F = 76° thus are congruent

Consider the ratios of corresponding sides

\(\frac{UW}{FH}\) = \(\frac{9}{21}\) = \(\frac{3}{7}\)

\(\frac{UV}{FG}\) = \(\frac{18}{42}\) = \(\frac{3}{7}\)

Thus Δ UVW ~ Δ FGH by the SAS postulate

Yes the given two triangles are similar.

The similarity statement is B) ΔUVW ∼ ΔFGH

The triangles that have similar shape but the sizes of the triangles may be different, are called similar triangles.

Here, in the given triangles,

∠U = ∠F = 76°

Therefore they are congruent.

The ratio of corresponding sides, \(\frac{UW}{FH} =\frac{9}{21} = \frac{3}{7}\)

Again the ratio of corresponding sides, \(\frac{UV}{FG}=\frac{18}{42}=\frac{3}{7}\)

Thus, ΔUVW ∼ ΔFGH by SAS rule of similarity.

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Answer: They have 1/3 pounds of fertilizer and 3 buckets

Step-by-step explanation:

Answer:

C:"As time dragged on, she sang to pass the hours."

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

$97.50

Step-by-step explanation:

Purchase Price:

$150

Discount:

(150 x 35)/100 = $52.50

Final Price:

150 - 52.50 = $97.50

3 cups of milk

9 servings

The proportion is:

Servings/cups of milk = 9 /3

For 2/4 of cups of milk: = x / (2/4)

Equal both proportions:

9/3 = x / (2/4)

Solve for x:

3 = x / (2/4)

3 (2/4) = x

3/2 = x

1.5 servings

The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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Answer:

Below in bold.

Step-by-step explanation:

The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.

So the perimeter = 3*5 + π  r

= 15 + 2.5π

= 22.85 in  to the nearest hundredth.