WEST SELLE the 14/1/1 A vacation home in Long Beach, Caliomia rents for $165 per day. The function f(x) = 165x glves the cost of renting the home for x days. What is the domain of this function? A X20 B {0, 1, 2, 3, ...) C {0, 165, 330, 495, ...) Dal real numbers [PLEASE BE CAREFUL, THIS IS ONE OF THE MOST MISSED QUESTIONS, THINK BEFOR doo B D

Answer:

d

Step-by-step explanation:

The cost of 12 tickets is $180.

Given that, three concert tickets cost $45.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, the cost of one ticket

= 45/3

= $15

So, the cost of 12 tickets = 12×15

= $180

Therefore, the cost of 12 tickets is $180.

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Answer:

LN ≈ 14.2

Step-by-step explanation:

Given that the triangles are similar then corresponding sides are in proportion, that is

\(\frac{LN}{IK}\) = \(\frac{MN}{JK}\) , substitute values

\(\frac{LN}{41}\) = \(\frac{9}{26}\) ( cross- multiply )

26 LN = 9 × 41 = 369 ( divide both sides by 26 )

LN = \(\frac{369}{26}\) ≈ 14.2 ( to the nearest tenth )

Answer:

14.87 units

Step-by-step explanation:

Pythagorean Theorem states that the sum of the square of the legs equals the square of the hypotenuse.

5² + 14² = y²

25 + 196 = y²

y² = 221

y = \(\sqrt{221}\) which is equal to 14.87

The number is not rational. We consider it irrational because the pattern does not repeat.

Yes we have elements of "7" and "8" showing up in a fairly predictable pattern; however, we don't have 78 repeating forever or 788 repeating forever, etc. Instead, the string of "8"s appear to grow by 1 digit each time we get to a new block.

So again, we have an illusion of a pattern which may have tricked Isaiah into thinking that this number is rational, when in fact it's not. Because it's irrational, we cannot represent it as a ratio of two integers (aka a fraction of integers).

The number 7.787887888 is indeed an irrational number because it has a non-terminating and non-repeating decimal pattern.

The "Irrational-Numbers" cannot be expressed as fractions of integers, and their decimal expansions go on infinitely without settling into a recurring pattern.

In this case, the absence of a repeating pattern, along with the fact that the decimal representation does not-terminate, confirms that 7.787887888... is an irrational number.

Therefore, the given number 7.787887888... is an irrational number.

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The equation in rectangular coordinates. (x - 1)² + y² = 1

There are many types of coordinate system depending upon the usage and ease of working , Spherical , Rectangular , Cylindrical , Polar are the examples of Coordinate System.

It is given that the equation in polar coordinates is  r = 2 cosθ

To change in rectangular coordinates

The relation between polar and rectangular coordinate is

x = r cosθ and y = r sinθ

x² + y² = r²

r = 2 cosθ

r² = 2r cosθ

r² = x

so the equation in rectangular coordinate system becomes

x² + y² = 2x

x² - 2x + y² = 0

x² - 2x + 1 + y² - 1 = 0

(x - 1)² + y² = 1

This represents the equation in rectangular coordinates.

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Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

Answer:

we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)

Step-by-step explanation:

And other is P(first)*V(first)=P(last)*V(last)

8*22=16*?

the ?=11

Answer:

\(9x + 4 - 3y^2\)

Step-by-step explanation:

Given

\(5x+4x - 1+3 - 7y^2 +2+4y^2\)

Required

Simplify

\(5x+4x - 1+3 - 7y^2 +2+4y^2\)

Collect Like Terms

\(5x+4x - 1+3 +2+4y^2- 7y^2\)

Simplify like terms

\(9x + 4 - 3y^2\)

Hence,

\(5x+4x - 1+3 - 7y^2 +2+4y^2\) \(= 9x + 4 - 3y^2\)

Answer:

ight so PSAT means pre-SAT. it doesn't affect your grade. an it don't affect yo chances of getting into college. they wanna see where errybody at, you still wanna do yo best. its preparing you for the SAT i took the psat when i was in 8th grade an they want you to take that shi seriously. buh dont stress about it. they give you plenty of time. im in 10th. buh you finna do great you jus gotta trust in yoself

Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x

Answer:

At a distance of 400 m.

Step-by-step explanation:

From the information in the given question, a distance marker and pole are together at the start of the road.

Thus,

the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.

Also,

the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.

Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.

Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

A relationship among two expresses or value that is not equal in mathematics is referred to as an inequality. Thus, disparity results from imbalance. In algebra, an inequality establishes the links between two non-equal numbers. Egality and injustice are not the same. Were using the not equal symbol most frequently when two quantities are not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two aspects until only the variables are left, some straightforward inequalities can be solved. However, a variety of factors support inequality: Both side' negative values are split or added. Exchange either left and the right.

given

3x + y < -1

Add y to both sides of the equation.

3x=1+y

Divide each term in 3x=1+y by 3 and simplify.

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

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Answer:

Yes

Step-by-step explanation:

Because 12/18 = 2/3..(cancel 12 and 18 by 6)

Answer:

yes

Step-by-step explanation:

2x6=12

3x6=18

6 is the multiplying number

( the 2 equations are the same amount )

The area of this hub cap is about  510.44625 cm².

The area of circle is pi times the square of the radius.

Area of circle =π r²

Circumference (C) = 2π r

80.07 = 2 (3.14) r

76.87/ (2x 3.14) =r

r = 12.75 cm

now, Area be

=π r²

= 3.14*12.5*12.75

=510.44625 cm²

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Answer:

$7,830

Step-by-step explanation:

The house that cost $65,250 has a 12% down payment, Meaning you would find what the 12% is equal to.

Thus you would simply do $65,250 times .12

to get you final answer $7,830

Answer:

3

Step-by-step explanation:

Since \(\angle A \cong \angle A\) by the reflexive property and \(\angle ABC \cong \angle ADE\) since they are both right angles, \(\triangle ABC \sim \triangle ADE\) by AA.

It follows that:

\(\frac{x}{9}=\frac{5}{9+6} \implies x=3\)

Answer:

b^2 + 2b <= 168

Step-by-step explanation:

The base is b.

The height, h, is 4 in. greater than twice the base, so the height is 2b + 4.

The area of a triangle is bh/2. We replace h with the expression for height.

A = bh/2 = b(2b + 4)/2 = (2b^2 + 4b)/2 = b^2 + 2b

The area is b^2 + 2b.

The area is no more than 168 in.^2, so it is less than equal to 168 in.^2.

b^2 + 2b <= 168

("<=" means "less than or equal to")

Since you don't show the choices, choose an inequality that is equivalent to the one just above.

The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 meters

Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 metersStep-by-step explanation:

To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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Answer:

C) 3/8 < 1/2   good luck

Step-by-step explanation:

brainliest please

The system of inequality that represents the weekly constraints on assembly and painting is;

5x + 4y ≤ 180

2x + 3y ≤ 135

We are told that;

x represents the number of Racing bikes.

y represents the number of Recreational bikes

It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it.

It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it.

Assembly can take no more than 180 hours throughout the week. This means ≤ 180

Painting can take no more than 135 hours hours per week. This means ≤ 135. Thus, the inequalities are;

5x + 4y ≤ 180

2x + 3y ≤ 135

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The surveyor determines the angle of the triangular plot by using the inverse cosine function with a given value of cos⁻¹(0.15). The result of approximately 89° represents the approximate measure of the angle at which the surveyor stands in relation to the sides of the plot.

Among the given options for the inverse cosine values, the measure of the angle of the triangular plot at which the surveyor stands is determined by the value of cos⁻¹(0.15), which is approximately 89°.

Each result represents the measure of the angle at which the surveyor stands in relation to the sides of the triangular plot. It's important to note that these results are approximate values rounded to the nearest degree.

By using the given cosine values and applying the inverse cosine function, the surveyor can determine the approximate angle of the triangular plot.

Therefore, The approximate measure of the angle of the triangular plot at which the surveyor stands is 89°.

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Question-

A surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? Approximate to the nearest degree.

cos^(-1)(0.75) ≈ 41°

cos^(-1)(0.125) ≈ 83°

cos^(-1)(0.563) ≈ 56°

cos^(-1)(0.15) ≈ 89°

True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.

Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.

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According to the interpretation of the confidence interval, the correct statement is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

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Answer: If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim

Step-by-step explanation: took the test

Answer:

-84

Step-by-step explanation: