help fast please 10 points
If arc SQ = 92° and arc QR = 86°, what is the measure of ∠RPS?
A) 30
°B) 35°
C) 40°
D) 45°

Answer

Number of students Total cost

0 $800

20 $1160

30 $1340

40 $1520

50 $1700

Explanation

Given

Cost per student = $18

The cost of the bus = $800

Step-by-step solution:

The total cost for food, admission, and the bus can be calculated using;

18a + b

Where a is the number of students and b is the cost of the bus.

For 30 students:

$18(30) + $800 = $540 + $800 = $1340

For 40 students:

$18(40) + $800 = $720 + $800 = $1520

For 50 students:

$18(50) + $800 = $900 + $800 = $1700

Answer:

1/12 is the reciprocal of 12.

Step-by-step explanation:

A reciprocal of a number is simply the inverse of it (in simple terms, the numerator and denominator switch places).

Therefore, the inverse (or reciprocal) of 12/1 is 1/12.

Answer:

\(tan(x)=\frac{44\sqrt{89}}{89}\)

Step-by-step explanation:

tan is defined as: \(tan(x)=\frac{opposite}{adjacent}\)

sin is defined as: \(sin(x)=\frac{opposite}{hypotenuse}\)

cos is defined as: \(cos(x)=\frac{adjacent}{hypotenuse}\)

We can also define tan as: \(tan(x)=\frac{sin(x)}{cos(x)}\)

because plugging in the definitions of sin and cos in we get: \(tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}\)

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

\(sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}\)

plugging in sin(x) and cos(x) we get:

\(tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}\)

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \(\frac{\sqrt{89}}{\sqrt{89}}\) which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

\(tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}\)

Answer:

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ

Explanation:

The exponential function has the following form

y = a(1 + r)ˣ

Where r is the rate of growth or decay.

If r is positive, it is a rate of growth

If r is negative, it is a rate of decay

For each option, we can write the equation as

y = 0.5(1.075)ˣ

y = 0.5(1 + 0.075)ˣ

Since 0.075 = 7.5% and it is positive, this equation have a rate of growth equal 7.5%

y = 200(1.8)ˣ

y = 200(1 + 0.8)ˣ

Since 0.8 = 80% and it is positive, this equation have a rate of growth equal to 80%

y = 10(0.95)ˣ

y = 10(1 - 0.05)ˣ

Since -0.05 = -5% and it is negative, this equation have a rate of decay equal to 5%

Therefore, the answers are:

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ

Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

--------------------

Hope this helps!

Answer:

Tom drove 282 miles.

Step-by-step explanation:

x = number of miles driven

220.81 = 14.95 + 0.73x

-14.95       -14.93

205.86 = 0.73x

/0.73        /0.73

282 = x

Hope this helps!

Answer:

14

Step-by-step explanation:

10 percent of 70 is 7

20 percent of 70 is 14

So 14 is your answer

Please vote brainliest

Thanks

Have a nice evening

Answer: All you would have to do is multiply 70 by 20% which is 14. So 14 7th graders are a total of the band.

Step-by-step explanation:

Answer: The answer is 0

Answer: 5.5 Miles

Step-by-step explanation:

15 minutes is a quarter of an hour, so divide 12mph by 4, and you should get 3, that is how many miles bicycle one has traveled from the starting point. For bicycle two, also divide 10mph by 4, and you should get 2.5, that is how many miles bicycle two has traveled from the starting point. Since they both went in opposite directions, you will add both of their distances traveled from the starting point to get their total distance away from each other!

3 + 2.5 = 5.5 miles

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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(a) The type of bias in the survey is non-response bias

(b) The bias can be remedied by increasing the response rate, using follow-up methods, analyzing respondent characteristics, employing alternative survey methods, and utilizing statistical techniques such as weighting or imputation.

(a) Determining the type of bias in the survey:

The survey exhibits nonresponse bias.

Nonresponse bias occurs when the individuals who choose not to respond to the survey differ in important ways from those who do respond, leading to a potential distortion in the survey results.

(b) Suggesting a remedy for the bias:

One possible remedy for nonresponse bias is to increase the response rate.

This can be done by providing incentives or rewards to encourage participation, such as gift cards or entry into a prize draw.

Following up with nonrespondents through phone calls, emails, or personal visits can also help improve the response rate.

Additionally, comparing the characteristics of respondents and nonrespondents and adjusting the results based on any identified biases can help mitigate the bias.

Exploring alternative survey methods, such as online surveys or telephone interviews, may reach a different segment of the population and improve the representation.

Statistical techniques like weighting or imputation can be used to adjust for nonresponse and minimize its impact on the survey estimates.

Therefore, nonresponse bias is present in the survey, and remedies such as increasing the response rate, follow-up methods, analysis of respondent characteristics, alternative survey methods, and statistical adjustments can be employed to address the bias and improve the accuracy of the survey results.

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No, multiple boxes contain the same fruit.

3 boxes contains the same fruit : strawberry

all different = False

From the given table,

box ID |  fruit name   |  count

53686  |  kiwi         |    45

57181  |  strawberry   |   123

25274  |  apple        |    20

48800  |  orange       |    35

26187  |  strawberry   |   255

57930  |  grape        |   517

52357  |  strawberry   |   102

43566  |  peach        |    40

=> You can see that, each box have a unique box ID, and a fruit name for each box.

=> These 57181, 26187, 52357 boxes contains strawberry.

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a) After 1 day, the revenue for each item is the same.

b) Graph is shown in the attachment.

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

M(d) = 2x² + 8x - 4

R(d) = 2x + 4

a) Find x by taking y=M(d)=R(d). ( same revenue=y)

     y= 2x² + 8x - 4

     y= 2x + 4

This shows that right-side expressions are equal.

 2x² + 8x - 4 = 2x + 4

 2x² + 8x - 4 - 2x - 4=0

2x² +6x-8=0

Find the factors

2(x-1)(x+4)=0

x-1=0,  x+4=0

x= 1, x=-4

consider positive value for days

So, after 1 day, the revenue for each item is the same

b)  The equations:

 y= 2x² + 8x - 4

     y= 2x + 4

By taking some random values for x and finding the corresponding y values, we get the ordered pairs in the form of (x,y).

By plotting and joining those points, we get the graph as shown in the attachment.

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Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Step-by-step explanation:

(a)

\( \frac{b + x}{3} = \frac{b - x}{4} \\ 4b + 4x = 3b - 3x \\ b = - 7x\)

(b)

\(p = \frac{y}{1 + y \\ } \\ p + py = y \\ y - py = p \\ y = \frac{p}{1 - p} \)

(c)

\( \frac{1}{a} = \frac{1}{b} - \frac{1}{c} \\ \frac{1}{c } = \frac{1}{b} - \frac{1}{a} \\ \frac{1}{c} = \frac{a - b}{ab} \\ c = \frac{ab}{a - b} \)

Answer:

pizza, or sandwiches

Step-by-step explanation:

Answer:

Try a deli people love those

Step-by-step explanation:

Hope u do good!

Increasing the confidence level would also increase the margin of error

Increasing the sample size would reduce the margin of error and provide a more accurate estimate of the mean number of pepperonis on a large pizza. However, it would also be more time-consuming and expensive to collect data from a larger sample.

Increasing the confidence level would also increase the margin of error, but it would provide a wider range of values for the mean number of pepperonis. This would reduce the precision of the estimate, making it less informative.

Another potential drawback of increasing the confidence level is that it may lead to a larger sample size requirement, which could be more difficult to achieve. Additionally, a higher confidence level may not be necessary or practical in all situations, and it could lead to unnecessary costs and resources being spent on data collection.

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Under the Americans with Disabilities Act (ADA), accommodation is required in all three areas mentioned: the work itself, the work environment, and the benefits and privileges associated with the work.

The ADA is a federal law in the United States that prohibits discrimination against individuals with disabilities in various aspects of employment.

Firstly, accommodation is required in the work itself. This means that employers must make reasonable adjustments to enable individuals with disabilities to perform the essential functions of their job. This can include modifying tasks, providing assistive technology, or adjusting work schedules.

Secondly, accommodation is required in the work environment. Employers must remove barriers that may prevent individuals with disabilities from accessing or navigating the physical workplace. This may involve installing ramps, widening doorways, or providing accessible restrooms.

Lastly, accommodation is required in the benefits and privileges associated with the work. Employers must ensure that individuals with disabilities have equal access to employee benefits, such as health insurance, retirement plans, and training opportunities. Additionally, employers should provide reasonable accommodations to enable employees with disabilities to enjoy the same privileges and opportunities as their colleagues.

In conclusion, the ADA mandates accommodation in the work itself, the work environment, and the benefits and privileges associated with the work, ensuring equal opportunities and accessibility for individuals with disabilities.

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Answer:

to write 0.2 as a fraction, we convert decimal to fraction. For that, we divide the number by 1 and multiply the top and bottom by 10. So, 0.2/1 × 10/10 = 2/10, which can be reduced further to 1/5. This means 0.2 as a fraction is equal to 1/5.

Step-by-step explanation:

I hope this helped you

Answer: 1/5 or one fifth

Step-by-step explanation: divide the number by a 1, multiply the top and bottom by 10

0.2 divided by 1 times 10 divided by 10 = 2/10

Answer:

The answer is 187.5

the answer is 187.5

Answer:

187.5

Step-by-step explanation:

a) The integral of 4x+4 with respect to x is 2x² + 4x + C.

c) The integral of x³ with respect to x is (1/4)x^4 + C.

a) To find the integral of 4x+4 with respect to x, we can use the power rule of integration. For each term, we increase the exponent by 1 and divide by the new exponent. The integral of 4x is (4/2)x² = 2x², and the integral of 4 is 4x. Adding these results together, we get the antiderivative 2x² + 4x. The constant of integration (C) is added to account for the possibility of any additional constant terms.

b) The integral of f(x)cos(x) cannot be determined without knowing the specific function f(x). Integration is a process that requires a specific function to be integrated. Without knowledge of f(x), we cannot evaluate the integral.

c) To find the integral of x³ with respect to x, we use the power rule of integration. We increase the exponent by 1 and divide by the new exponent. For x³, increasing the exponent by 1 gives x^4, and dividing by the new exponent (4) gives (1/4)x^4. Adding the constant of integration (C), we obtain the antiderivative (1/4)x^4 + C.

It's important to note that integration involves finding the antiderivative of a function, and the constant of integration (C) is included since the derivative of a constant is always zero.

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Answer:

negative

Step-by-step explanation:

b is a negative number because it is less than  -1, so b/5 is a negative number because negative/positive = negative

Answer:

b/5  is negative

Step-by-step explanation:

Since b < -1  b must be less than zero

You can also look at this as b < 0 so b is less than 0, b is negative

b/5  is negative

The volume of the recycling bin is given as 576 cubic feet. We know that the bin is a rectangular prism with a base of 12 feet by 6 feet. So, we can use the formula for the volume of a rectangular prism to find the height:

Volume of rectangular prism = base area x height

In this case, the base area is 12 feet x 6 feet = 72 square feet. So, we have:

576 cubic feet = 72 square feet x height

Dividing both sides by 72 square feet, we get:

height = 576 cubic feet / 72 square feet

Simplifying this expression, we get:

height = 8 feet

Therefore, the height of the bin is 8 feet.

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The given expression (2x^3 + 2)/(x^3 - 2) can be written as a composition of two non-identity functions as follows:

Let f(x) = 2x^3 + 2 and g(x) = x^3 - 2.

Then, the expression can be written as:

f(x)/g(x) = (2x^3 + 2)/(x^3 - 2)

So, the expression is a composition of the two non-identity functions f and g, written as:

h(x) = f(g(x)) = (2x^3 + 2)/(x^3 - 2)

Answer:

4(10)^2 or 4(100)

hope this helps

Step-by-step explanation:

Frank's Hardware's store has a rectangular logo with a width of 3.4m

and area 13 square meters, we are to obtain the length,

The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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