PLEASE HELP!! 14 POINTS


The total revenue for a bluetooth speaker (in dollars) is given by R(x)=35x−0. 01x2 where x is the number of units sold. What is the average rate of change in revenue as the number of bluetooth speakers sold increases from 20 to 40 units?

Answer:

Step-by-step explanation:

14

Answer:

$ 233.28

Step-by-step explanation:

Original Price $480 multiply by 0.45 the sale

You get $ 216

Then you take $216 and multiply by the sale taxes 8% 0.08

Which is $ 17.28

Add the sale price $216 plus $ 17.28

$ 233.28

The probability of 45 heads in 100 tosses of a coin given the probability of heads is 50% is 7.1%.

The binomial probability formula is used to calculate the probability of getting a certain number of heads (or success) in a certain number of coin tosses (or trials) when the probability of getting a head (or success) in each individual coin toss is known. The formula is:

P(x) = (n choose x) * (pˣ) * (1-p)^(n-x)

Where,

P(x) is the probability of getting x heads (or success) in n coin tosses (or trials)

n is the number of coin tosses

x is the number of heads (or success)

p is the probability of getting a head (or success) in a single coin toss

1-p is the probability of getting a tail (or failure) in a single coin toss

(n choose x) is the binomial coefficient, which is the number of ways to choose x heads (or success) from n coin tosses (or trials)

In this case, the probability of getting 45 heads in 100 tosses of a coin with a probability of heads of 50% can be calculated using the formula: (100 choose 45) * (0.5⁴⁵) * (0.5⁵⁵) which is approximately 0.071, or 7.1%.

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Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

choices A, B, and D are all true

choice C is false

Step-by-step explanation:

Choice A is true because both functions shown on the graph have exactly one asymptote at about y=1.

Choice B is true because well, the reason Choice C is not true.  logarithmic graphs and exponential graphs look very similar.  However, exponential graphs get very close to the x-axis but never actually touch it.  In this graphing, the blue function crosses the x-axis, so it cannot be an exponential function.  The only other function that has graphs that look like this is a logarithmic function, so Choice B is correct and Choice C is not correct.

Once again, Choice C is not correct because the blue graph crosses the x-axis and exponential functions never actually touch the x-axis no matter how close they get to it.

Choice D is correct because the red graph has been reflected over the x-axis and shifted upward, and the blue graph has been reflected across the y-axis and shifted to the right.

Answer:

169 / 14

Step-by-step explanation:

7/1 + 71/14 = 7/1 * 14/14 + 71/14

= 98/14 + 71/14

= (98 + 71) / 14

= 169 / 14

So, the answer is 169 / 14

1. The expected net operating income each year from the water slide is $238,150.

2. The simple rate of return expected from the water slide is 12.5%.

Let us discuss in a detailed way:

⇒ To calculate the net operating income, we need to consider the additional revenue from increased attendance and subtract the incremental operating expenses.

The additional attendance from the water slide is estimated to be 50,000 people per year. With an admission price of $5.00 per person, the additional revenue would be $250,000 ($5.00 x 50,000).

The incremental operating expenses for the water slide amount to $126,800 ($95,000 + $5,800 + $14,600 + $11,400).

Therefore, the expected net operating income each year is $238,150 ($250,000 - $126,800).

⇒ The simple rate of return is calculated by dividing the average annual net income by the initial investment cost and expressing it as a percentage.

The average annual net income is calculated by subtracting the annual operating expenses from the additional revenue generated. In this case, the average annual net income is $113,350 ($238,150 - $124,800).

The initial investment cost is $525,000.

Using these values, the simple rate of return is 21.6% ($113,350 / $525,000).

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Step-by-step explanation:

What is the measure of < PSQ in degrees?

The data being bimodal with peaks and centered around 5 and 7 minutes indicates that the wait times were usually around these two values, which are lower than the expected wait time for those rides.

Based on the given information, the best description of the shape of the data is:

The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.

This conclusion can be drawn by observing the number of dots above each value on the line plot.

There are 3 dots above 5, indicating a relatively higher frequency of wait times around 5 minutes.

Similarly, there are 5 dots above 7, suggesting a higher frequency of wait times around 7 minutes.

This presence of two distinct peaks indicates a bimodal distribution.

Moreover, the fact that the wait times of 5 and 7 minutes are lower than the expected wait time for those rides suggests that the park might have experienced shorter lines or less crowded periods, resulting in shorter wait times.

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The age of Bryson today is 11 1/3 years

From the question, we have the following mathematical statements:

Bryson's dad age = 38

Bryson's dad age = 4 + 3 * Bryson's age

Represent Bryson's age with x

So, we have the following equation

Bryson's dad age = 38

Bryson's dad age = 4 + 3x

substitute the known values in the above equation, so, we have the following representation

4 + 3x = 38

Evaluatet the like terms

3x = 34

Divide by 3

x = 11 1/3 years

Hence, Bryson's age as per the mathematical statement is 11 1/3 years

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The new coordinates of the polygon are J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).

Transformation is the movement of a point in the coordinate plane. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in the size of a figure by a scale factor.

Given the coordinates of polygon J(-5, 3), K(2, 3), L(2, -3), M(-5, -3). For a dilation with a scale factor of 1/2, the new coordinates are:

J'(-5/2, 3/2), K'(1, 3/2), L'(1, -3/2), M'(-5/2, -3/2).

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Answer:

  4

Step-by-step explanation:

You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.

The leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.

The least significant digit of 0.014 is 4. The leaf unit is 4.

<95141404393>

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

The runner should choose the second cooler, because the probability of selecting a sports drink and a water from the first cooler is about 24.98% and the second cooler is about 25.86%.

To calculate the probability of selecting a sports drink and a water bottle from each cooler, we need to use the following formula:

Probability of selecting a sports drink and a water bottle = (number of sports drinks / total number of bottles) x (number of water bottles / (total number of bottles - 1))

For the first cooler, the probability of selecting a sports drink and a water bottle is:

(19/39) x (20/38) = 0.2498, or about 24.98%

For the second cooler, the probability of selecting a sports drink and a water bottle is:

(14/29) x (15/28) = 0.2586, or about 25.86%

Therefore, the runner should choose the second cooler, because it has a slightly higher probability of selecting a sports drink and a water bottle.

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Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

Answer:

Below!

Step-by step explanation:

We know that:

Solution of Question A:

Percent of children: Total children/Total attendance

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

Hence, the percent of women is 56.67%.

Solution of Question C:

Percent of men: Total men/Total attendance

Hence, the percent of men is about 17%

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Costs are $490

49 shirts are sold

Step-by-step explanation:

98 + 8x = 10x

98 = 2x

49 = x

98 + 8(49) = $490 in costs

49 shirts sold

Answer: \(B=\{3^x:x\in N, x\leq4\}\)

Step-by-step explanation:

Given set: \(B=\{3,9,27,81\}\) which is in a rooster form.

A set-builder form is a mathematical form to representing a set by stating the properties that its elements must satisfy.

In the given set each element is a multiple of 3.

\(3=3^1\\9=3^2\\27=3^3\\81=3^4\)

So, \(B=\{3^1, 3^2, 3^3, 3^4\}\) ,where 1,2,3,4 are natural numbers

The set-builder notation would be :

\(B=\{3^x:x\in N, x\leq4\}\), where N is the set of natural numbers.

Answer:

trapezoid

Step-by-step explanation:

Trapezoid does not describe a square because it does not contain four equal sides like a square.

Option (B) is correct answer

"A Trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides."

"A Square is a quadrilateral whose all sides are equal, whose diagonals are equal and whose all angles are \(90^{0}\) i.e., right angle."

Rhombus, Rectangle, Parallelogram describe a Square

Explanation for correct option

A Trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. It does not contain four equal sides like a square and whose all angles are not \(90^{0}\) i.e., right angle like square."

Explanation for other options:

(Option A) Rhombus

A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length.

(Option B)Rectangle

A Rectangle is a quadrilateral with each angle 90° and opposite sides parallel to each other. In it, each diagonal bisects each other.

(Option D)Parallelogram

A Parallelogram is a four sided polygon whose opposite sides are parallel and equal and opposite angles are equal.

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Answer:

2√x can be written as

\( {2x}^{ \frac{1}{2} } \)

So we have

\( {2x}^{ \frac{1}{2} } \times {4x}^{ - \frac{5}{2} } \\ = {2x}^{ \frac{1}{2} } \times {2x}^{- \frac{5}{2} \times 2 } \\ \\ = {2x}^{ \frac{1}{2} } \times {2x}^- {5} \\ \\ = {2x}^{ \frac{1}{2} - 5 } \\ \\ = {2x}^{ -\frac{9}{2} } \)

Comparing with k.x^n

k = 2 n = -9/2

Hope this helps you

Using the Factor Theorem, the length of one side of the garden is:

(3x - 4) feet.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:

A = 9x² - 24x + 16.

The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:

\(x_1 = x_2 = \frac{4}{3}\)

Hence the area can be written as:

\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)

Then, to find one side:

9(x - 4/3) = 9x - 12 = 3(3x - 4).

Hence (3x - 4) feet is one side.

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Answer is d. The testable proposed relationship between the variables in the research hypothesis is: "Then people with a high exposure to UV light will have a higher frequency of skin cancer." This portion of the hypothesis specifically establishes the expected connection between UV light exposure and the occurrence of skin cancer, allowing for investigation and data collection to either support or refute the hypothesis.

A hypothesis is a tentative explanation for a phenomenon that is based on prior knowledge and observations. It is essential to have a testable hypothesis to ensure that the research study can be conducted in a rigorous and systematic manner. A testable hypothesis allows researchers to design experiments that can collect data to support or refute the hypothesis. Without a testable hypothesis, researchers may not be able to generate meaningful results that contribute to scientific knowledge.

A critical aspect of hypothesis testing is making clear and specific predictions about the relationship between the variables. In this case, the researchers are predicting that people with a high exposure to UV light will have a higher frequency of skin cancer. This prediction is specific because it defines the level of UV light exposure that is expected to lead to a higher frequency of skin cancer. It is also measurable because the frequency of skin cancer can be quantified through data collection. By making this clear and specific prediction, the researchers can test their hypothesis and determine whether the data support or refute their hypothesis.

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Answer:

x = 15

Step-by-step explanation:

Let's start by copying down the equation.

6 + 4x + 3 = 6x - 21

Let's simplify this equation and we get,

4x + 9 = 6x - 21

Now, we can add 21 to both sides to isolate 6x on one side. Then, we get...

4x + 30 = 6x

Now, we minus 4x from both sides to get rid of it.

Then we get...

2x = 30

Thus, x = 15

6 + 4x + 3 = 6x - 21

We minus (4x+3) on both side.

6 + 4x + 3 - (4x+3) = 6x - 21 - (4x + 3)

6 = 2x - 24
2x = 30
x = 15.

Recheck : 6 + 60 + 3 = 90 - 21
69 = 69 (nice.)

The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

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The domain of the graphed function is [-2, 1) U (5, 9]

STEP - BY - STEP EXPLANATION

What to find?

The domain of the graph function.

What are domains?

Domains are sets of x- values for which the function is defined.

Observe from the graph given, the function are defined for set of all x - values between -2 and 1 with -2 included.

Also the function is also defined for a set of all x-values between 5 and 9 with 9 included.

This can be represented using interval notation as [-2, 1) U (5, 9].

Therefore, the correct option is A.[-2, 1) U (5, 9].

Answer:

y = 1.5x + 1.5

Step-by-step explanation:

Since it says it is growing at a constant rate, it means that is linear.

The linear formula follows this form: y = mx + c, where m is the gradient and c is the y-intercept

To find the gradient, you sub the values into the gradient formula.

That would be 4.5 - 3.0 divided by 2-1

That would be 1.5/1 = 1

Hence the gradient is 1.5

y = 1.5x + c

To find c, you sub in one point into the equation

I'm going to go with (3, 6.0)

6 = 1.5*(3) + c

6 - 4.5 = c

c = 1.5

Hence the formula is: y = 1.5x + 1.5

Answer:

its number 3.

Step-by-step explanation:

Answer:

20m

Step-by-step explanation:

40m/2

20m

because 40/2=20

Answer: The solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Step-by-step explanation: Starting with the given equation:

-3e^(5w) = -88

Dividing both sides by -3:

e^(5w) = 88/3

Taking the natural logarithm of both sides:

ln(e^(5w)) = ln(88/3)

Using the property that ln(e^x) = x:

5w = ln(88/3)

Finally, solving for w by dividing both sides by 5:

w = (1/5)ln(88/3)

So the solution for w, expressed as a natural logarithm, is:

w = ln(88/3) / 5

Answer: Say you want to perform the following subtraction in base 5. Borrow a 5 from 3 fives. 3 fives in now 2 fives. Then, add that 5 to the 1 to make it 6.

Step-by-step explanation: there

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