Select the correct answer.
What are the x-intercept and the y-intercept of this function?
fx) = 4x + 12
O A.
The x-intercept is (3,0), and the y-intercept is (0,-12).
OB.
The x-intercept is (-3,0), and the y-intercept is (0,-12).
O C.
The x-intercept is (3,0), and the y-intercept is (0,12).
OD.
The x-intercept is (-3,0), and the y-intercept is (0,12).

Answer:

838.7725

Step-by-step explanation:

Answer:

height of the waste is 20.0 inches.

Step-by-step explanation:

given data

volume = 5, 667.7cubic inches

radius = 9.5 inches

solution

we use here volume of a cylinder is express as

V = πr²h     .................1

put here value

5667.7 = (3.14) × (9.5²) × h

solve it we get

h = 20 inch

so height of the waste is 20.0 inches.

From the hypothesis test, it is found that that the p value is of  0.6683

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H₀ : µ > 10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₁: µ > 10.2

10 students were surveyed, so there are 9 df (degree of freedom).

The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value

Thus, p test:

X = 10.2 hours

n = 10

test statistics = 0.45

Thus, using a t-distribution calculator, the p-value of the test is of 0.6683

Pvalue = 0.6683

p value is greater is than 0.10 which indicates that the amount of time is not greater than 10.2 hours for this year.

Hence we get the value of p as 0.6683.

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A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

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When the value of n nickles plus d dimes is c cents, n in terms of d and c will be n = c - d.

It should be noted that an expression is simply used to show the relationship that can be illustrated based on the data.

In this case, we want to calculate the value of n nickles plus d dimes is c cents, what is n in terms of d and c.

This will be:

c = n + d

Therefore, to get n will be calculated thus:

Subtract d from both sides.

c - d = n + d - d

n = c - d

Therefore, when the value of n nickles plus d dimes is c cents, n in terms of d and c will be n = c - d.

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Answer:

Yea photo maths easier

Step-by-step explanation:

Answer:

8 weeks per painting

Step-by-step explanation:

1/4 of a painting in 2 weeks

Multiply everything x 4

4/4 or 1 painting in 8 weeks

Answer:

120 square centimeters

Step-by-step explanation:

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

28.574

Step-by-step explanation:

18.2 x 3.14 then divied by 2

Answer:

First term=1024

Common ratio = ½

Step-by-step explanation:

Index means its position

Even index means the 2nd, 4th, 6th ....terms

The probability that the profit is greater than $400 is 0.0082.

The cumulative distribution function (CDF) of the normal distribution can be used to calculate the likelihood that the profit will be larger than $400.

We may determine the likelihood that a random variable will be less than or equal to a certain value using the CDF of the normal distribution. We can deduct the CDF from 1 to get the likelihood that the random variable is greater than a specific value.

The normal standard variable that correlates to x will be referred to as z. By taking the mean away and dividing it by the standard deviation, we may standardize x:

z = (x - $360) ÷ $50

The CDF of the standard normal distribution can be found using a standard normal table.

Calculating the value of z we get.

z = (400 - $360) ÷ $50 = 2.4

Therefore, the probability that x > $400 is given by:

p(x > $400) = 1 - p(x <= $400) = 1 - φ(2.4)

where φ is the standard normal CDF.

A standard normal table can be used to estimate the value of φ.

Using the standard normal table φ = 0.9918.
Substituting the values we get,

p(x > $400) = 1 - 0.9918 = 0.0082

This means that there is about a 0.82% chance that the store will make a profit greater than $400 on a randomly selected day.

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We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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The equation of the line that passes through the points (0,-2) and (3,2) is  4x-3y-6 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

In the given graph,

The points are (0,-2) and (3,2)

To find the equation of the line,

Find slope by using formula  m = (y₂-y₁)/(x₂-x₁)

m = (2-(-2))/(3-0)

m = 4/3

The equation of line is,

y-y₁ = m (x-x₁)

y-(-2) = 4/3(x-0)

y+2 = 4/3x

3y+6 = 4x

4x-3y-6 = 0

The required equation of line is 4x-3y-6 = 0.

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Answer:

C

Step-by-step explanation:

1 + 0.02 means the 2% growth every month, power 12 means for 12 month, and power of 2 mean 2 years.

Answer:

The first one , The fifth one and The sixth one

Step-by-step explanation:

Just test if the fractions are proportional

The total distance traveled is 14 miles, and the net displacement from the starting point is 4 miles south.

To determine the total distance traveled, we add the distances traveled in each direction. In this case, we walk 9 miles due north and then 5 miles due south. Therefore, the total distance traveled is 9 miles + 5 miles = 14 miles.

Net displacement refers to the change in position or the straight-line distance from the starting point to the final position. Since we walked 9 miles north and then 5 miles south, the net displacement is determined by subtracting the distance traveled in the opposite direction. Thus, the net displacement is 9 miles - 5 miles = 4 miles south.

It's important to note that while the total distance traveled is 14 miles, the net displacement is only 4 miles south. This indicates that even though we covered a total distance of 14 miles, our final position is 4 miles south of the starting point.

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9514 1404 393

Answer:

  B.  y-intercept

Step-by-step explanation:

If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.

The polynomial A is represented as x - 2, making option A the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

or, A = (x² + x - 6)/(x + 3) {Subtracting the two fractions with the same denominator (x + 3)},

or, A = (x² + 3x - 2x - 6)/(x + 3) {Mid-term factorization},

or, A = {x(x + 3) - 2(x + 3)}/(x + 3) {Taking common},

or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as x - 2, making option A the right choice.

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Step-by-step explanation:

(x-85.2)/7.4=2/5

(x-85.2)=18.5

x=18.5+85.2=103.7cm

When comparing the distributions of SAT scores for two schools, it is important to use a statistical measure that can accommodate the difference in the number of students in each school. In this case, since School A has 400 students while School B has 2700 students, the most useful statistical measure for making this comparison would be the percentage of students in each school who scored within certain SAT score ranges.

For example, instead of comparing the raw number of students who scored above a certain score threshold in each school, it would be more meaningful to compare the percentage of students in each school who scored above that threshold. This would give a more accurate representation of the distribution of SAT scores in each school, taking into account the different sizes of the student populations.

Another useful statistical measure for making this comparison would be to use box plots to visualize the distributions of SAT scores in each school. Box plots provide a clear and concise way to compare the minimum, maximum, median, and quartiles of SAT scores for each school.

In summary, the most useful statistical measures for comparing the distributions of SAT scores for School A and School B would be the percentage of students in each school who scored within certain score ranges, as well as the use of box plots to visualize the distributions.

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Answer:

x = 148

Step-by-step explanation:

( Note that ∠DPB = 32° and ∠CPB is x )

∠DPB and ∠CPB are supplementary angles.

Supplementary angles add up to 180°

This means that ∠DPB + ∠CPB must equal 180

If ∠DPB = 32° and ∠CPB = x , then 32 + x = 180

( Note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

x + 32 = 180

* subtract 32 from both sides *

we're left with x = 148

Answer:   px8+54x2=45

Step-by-step explanation:

The type of scale used to evaluate the food at a new restaurant on 7-point scales with bipolar adjectives such as good-bad and inexpensive-expensive is known as a Likert scale.

This type of scale is commonly used in surveys to measure attitudes and opinions towards a particular topic, in this case, the food at a new restaurant. A Likert scale consists of a series of statements or adjectives that respondents are asked to rate on a scale that ranges from strongly disagree to strongly agree or, in this case, from bad to good and from inexpensive to expensive.

The bipolar adjectives used in the scale allow for a clear distinction between the positive and negative aspects of the food, which helps to ensure that the responses are more accurate and meaningful. The 7-point scale provides a wider range of options than a binary scale, which allows for more nuanced and detailed responses.

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The total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.

Melinda kept a record of her spending for the week as follows:

The amount she spent money to put gas in the car = $25

The amount to buy a new shirt = $22.38

The amount to play putt-putt golf with some friends = $6.95

The amount to buy groceries = $38.71

To calculate the total expenses for the week, we must add all the expenses:

= $25+$22.38+$6.95+38.71

= $93.04

Thus, the total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = \(\frac{1}{cosA}\), cosecA = \(\frac{1}{sinA}\) , cotA = \(\frac{cosA}{sinA}\) , tanA = \(\frac{sinA}{cosA}\)

Consider the left side

\(\frac{(1+tan^2A)cotA}{cosec^2A}\)

= \(\frac{sec^2AcotA}{cosec^2A}\)

= \(\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}\)

= \(\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }\)

= \(\frac{1}{cosAsinA}\) × sin²A

= \(\frac{sinA}{cosA}\)

= tanA = right side , thus proven