A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the flagpole from the end of the piece of string? Round your answer to the nearest tenth ( decimal places). (Hint: Draw a picture on your own paper to visualize the problem)

Answer:

$2.25 per lb

Step-by-step explanation:

x = 4.50/2

x = $2.25 per lb

The area of a square is the square of the length of a side is a^2.

The quantity of space occupied within the square can be used to calculate the size of a square using mathematics. We'll go over the equation for calculating the square's area below. It is mainly known for its geometric quadrilaterals. The simplest definition of a square is a regular polygon with four equal sides. A square has all the same facts and characteristics as regular polygons.

The number of square units that are anticipated to fill a square is used to describe the area of a square. The area is typically defined as the area included by the confines of a level article or 2D figure.

Mathematical Area of Square Formula = a×a=a^2.

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Answer:

$48.00

I hope this helps!

Answer:

$27

Step-by-step explanation:

36-(36*25%)=27

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Evaluate the value of expression.

So answer is 9/2 or 4 1/2.

Answer:

C) Area of Triangle is 102 Square Units

Answer: 100.45

Step-by-step explanation: plato or edmentum users i just got it correct

Answer:

we don't have the full answer sry.

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation:

Answer:

You don't know

Step-by-step explanation:

They don't mention any part of experience. Kelly and Mitchell just worked. Plus, you don't know how much experience of years.

Answer:

Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial

statements:

⚫Balance Sheet

•Income Statement

⚫Statement of Cash Flows

.5 Categories

The five (5) major categori in the financial ratios list include the following:

•Liquidity Ratios

•Activity Ratios

•Debt Ratios

•Profitability Ratios

•Market Ratios

Step-by-step explanation:

Sana makatulong

Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.

In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:

However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.

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\(3.9ft^{2}\)

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

\(5x + 4 \ge 19\)

Required

State the values of x within 2 and 8

\(5x + 4 \ge 19\)

Collect Like Terms

\(5x \ge 19 - 4\)

\(5x \ge 15\)

Divide both sides by 5

\(\frac{5x}{5} \ge \frac{15}{5}\)

\(x \ge 3\)

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of \(x \ge 3\) are: 3,4,5,6 and 7

Answer:

x = 8°

Step-by-step explanation:

∠GJL = ∠WJZ = 90° - 18° = 72° (cross angles)

(9x)° = 72° / : 9

x = 8°

Answer:

x = 8

Step-by-step explanation:

Find the measure of angle WJZ.

Since angles on a straight line sum to 180°:

⇒ m∠GJH + m∠HJW + m∠WJZ = 180°

⇒ 90° + 18° + m∠WJZ = 180°

⇒ 108° + m∠WJZ = 180°

⇒ 108° + m∠WJZ - 108° = 180° - 108°

⇒ m∠WJZ = 72°

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Since line GJZ and line LJW intersect, then ∠GJL and ∠WJZ are vertical angles and therefore congruent:

⇒ m∠GJL = m∠WJZ

⇒ (9x)° = 72°

⇒ 9x = 72

⇒ 9x ÷ 9 = 72 ÷ 9

⇒ x = 8

Therefore, the value of x is 8.

Answer: Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

Step-by-step explanation:

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = \(\hat{p}=\dfrac{109}{200}=0.545\)

Claim : p>0.50

Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

The angle between the 3D vectors a = (3, -1, 2) and b = (1, -1, -2) is 2.23 radians. The angle between a = (0, -1, -3) and b = (2, 3, -1) is 2.43 radians.

The angle between two vectors a and b in three-dimensional space can be found using the dot product formula:

cos(θ) = (a * b) / (||a|| * ||b||)

Where ||a|| and ||b|| represent the magnitude (length) of vectors a and b, respectively, and "*" represents the dot product of the two vectors. The dot product is given by:

a * b = a1 * b1 + a2 * b2 + a3 * b3

Where a1, a2, and a3 are the components of vector a, and b1, b2, and b3 are the components of vector b. The angle θ is then calculated using the inverse cosine function:

θ = arccos(cos(θ))

Finally, the angle θ is expressed in radians.

For the first problem, we have:

a = (3, -1, 2)

b = (1, -1, -2)

So, we have:

a * b = 3 * 1 + (-1) * (-1) + 2 * (-2) = 3 - 1 - 4 = -2

||a|| = \(\sqrt{(3^2 + (-1)^2 + 2^2)} = \sqrt{(14)}\)

||b|| = \(\sqrt{(1^2 + (-1)^2 + (-2)^2) }= \sqrt{(6)}\)

cos(θ) = \((-2) / (\sqrt{(14)} * \sqrt{(6)} ) = -\sqrt{(2)} / \sqrt{(21)\)

θ = arccos\((-\sqrt{(2)} / \sqrt{(21)})\) = 2.23 radians (rounded to two decimal places)

For the second problem, we have:

a = (0, -1, -3)

b = (2, 3, -1)

So, we have:

a * b = 0 * 2 + (-1) * 3 + (-3) * (-1) = -3

||a|| = \(\sqrt{(0^2 + (-1)^2 + (-3)^2)} = \sqrt{(10)}\)

||b|| = \(\sqrt{(2^2 + 3^2 + (-1)^2)} = \sqrt{(14)}\)

cos(θ) = \(-3 / (\sqrt{(10)} * \sqrt{(14)}) = -3 / \sqrt{(140)}\)

θ = arccos\((-3 / \sqrt{(140)})\) = 2.43 radians (rounded to two decimal places)

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Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.

To represent the number of bacteria after t hours, we can use the exponential growth formula:

N(t) = N₀ * (1 + r)^t,

where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.

In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:

r = 2^(1/t_double) - 1,

where t_double is the doubling time in hours.

Substituting the given values, we have:

r = 2^(1/12) - 1 ≈ 0.0592.

Now we can write the function for the number of bacteria after t hours:

N(t) = 5300 * (1 + 0.0592)^t.

To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:

percentage_growth = r * 100 ≈ 5.92%.

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The complete general form of the equation of the given sinusoidal function is y = 8sin[(27/2π)*(x - 4)] + c.

The general form of an equation for a sinusoidal function is presented below.

y = a×sin[b*(x - h)] + c

The variable "a" denotes the amplitude of the equation. The variable "T" represents the time period of the equation, and T = 2π/b. The variable "h" denotes the phase shift of the equation. The variable "c" denotes the vertical shift of the equation. The amplitude, period, and phase shift are 8, 27, and 4 units to the left, respectively. The general form of the equation of a sinusoidal function can be written as given below.

y = a×sin[b*(x - h)] + c

y = 8sin[(27/2π)*(x - 4)] + c

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Answer:

x= 9.37

y = 17.69

Step-by-step explanation:

in order to find the answer, use the trigonometries.

First finding x which is tan(32) = x/15

x = tan(32)15

and Y is cos(32) = 15/y

y = 15/cos(32)

I hope this helps

Answer:

3\(x^{2}\)-9x-90

Step-by-step explanation:

If the x intercepts are 5 and 6 and the coefficient of  is 3:

Create two brackets that satisfy this:

For 3, one bracket must contain 3x and the other x, eg: (3x-n)(x+m)

To let x=5 in the bracket (3x-n), imagine solving it as 3x=n, therefore n=15

To let x=-6 in the bracket (x+m), imagine solving it as x=-m, so m=-6

Therefore, you have (3x-15)(x+6)

To make this a quadratic, expand the terms to get: 3\(x^{2}\)-9x-90

Hope this helped :)

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Half the line of RE is shown as 12. The line is cut in half by line HS so the top half of the liken is also 12

RH is the hypotenuse of a right angle so use the Pythagorean theorem:

RH = sqrt(20 ^2 + 12^2)

RH = sqrt( 400 + 144)

RH = sqrt(544)

Simplify to

RH = 4sqrt(34)

Answer:

4√34

Step-by-step explanation:

12²+20²= 544

RH = √544 = 4√34

I hope this helps

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Answer:

f(n) = 0.2n + 4.8

4.8

Step-by-step explanation:

Given the explicit formula :

an = 5 +0.2(n - 1)

Expressing an in function form f(n):

f(n) = 5 + 0.2(n - 1)

f(n) = 5 + 0.2n - 0.2

f(n) = 5 - 0.2 + 0.2n

f(n) = 0.2n + 4.8

The y - intercept :

Set n = 0

f(n) = 0.2n + 4.8

f(0) = 0.2(0) + 4.8

= 0 + 4.8

= 4.8

y intercept = 4.8

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

is the puppy weighs 56 ounces then it weighs 3.5 pounds

The binomial distribution has one possible outcome, success, and two possible outcomes, failure. In contrast, the Poisson distribution has an infinite number of potential outcomes.

The distribution of binary data from a finite sample is described by the binomial distribution. As a result, it provides the likelihood that r events will occur in n trials. The distribution of binary data from an infinite sample is described by the Poisson distribution. It provides the likelihood that r events will occur in a population. Two discrete probability distributions are the Poisson distribution and the Binomial distribution.

In discrete trials, the binomial distribution counts discrete occurrences. In a continuous domain, the poisson distribution counts discrete occurrences. The poisson should ideally only be used when success could happen anywhere in a domain.

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The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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