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Point A is located in which quadrant?
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV

Answer:

x =2

y = 5

Explanation:

Given the system of equations:

Substitute the expression for y in equation (1) into equation (2)

Multiply both sides of the equation by -1

Subtract 2 from both sides of the equation

Substitute x = 2 into equation (1)

Therefore,

x = 2, and y = 5

Answer:The zeros are 7 and 5, because y=(x-7)(x-5)

Step-by-step explanation:

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

1. (3,0)

2. 3 miles

Step-by-step explanation:

1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.

2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles

The probability that at least 8 out of the 10 chips work properly is 0.2614, or 26.14%.

Given:

number of chips selected = 10

probability of a chip working= 0.95

The probability of getting exactly k successes in n trials with a success probability p is given by the formula:

\(P(X = k) =\) \({\text} ^nC_k p^k (1 - p)^{(n - k)\)

Now, the probability

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

\(P(X = k) =\) \({\text} ^{10}C_k (0.95)^k (1 - 0.95)^{(10 - k)\)

So, P(X = 8) = \(^{10}C_8 (0.95)^8(1-0.95)^{10-8}\)

                  =  \((45) (0.95)^8 (0.05)^2\)

                 = 0.2753

and, P(X = 9) = \(^{10}C_9 (0.95)^9(1-0.95)^{10-9}\)

                  = \((10) * (0.95)^9 * (0.05)^1\)

                  = 0.3874

P(X = 10) = \(^{10}C_{10} (0.95)^{10}(1-0.95)^{10-10}\)

                  = \((1) * (0.95)^{10} * (0.05)^0\)

                  = 0.5987

Finally, sum up these probabilities to get the desired result:

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

             = 0.2753 + 0.3874 + 0.5987

             = 0.2614

Therefore, the probability is 0.2614.

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The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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Answer:

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

Simplify in below steps:

The value of x using trigonometric functions will be 5.66.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions

Now,

In given triangle, 3rd angle will be 54 degree.

                                         (Sum of all angle in triangle=180degree)

Therefore

               sin 54=P/H  (P=Perpendicular, H=Hypotenuse)

                0.809=x/7

               x=7*0.809

              x=5.66

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Answer:

\(A(x) = 12000(1.04)^x\)

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that \(P = 12000\)

Compounded at 4% interest annually.

This means that \(r = 0.04, n = 1\)

What equation will calculate the value in x years?

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(A(x) = P(1 + \frac{r}{n})^{nx}\)

\(A(x) = 12000(1 + 0.04)^x\)

\(A(x) = 12000(1.04)^x\)

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.

To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.

To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.

Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.

To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.

Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.

Answer:

0.5?

Step-by-step explanation:

The value of x was found to be 34.28.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

Given the base of the triangle is x

The perpendicular = 19

So we can write tan(29°) = 19 / x

x = 19 / tan(29°)

x = 19/0.55

x=34.28

Hence the value of x was found to be 34.28.

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Answer:

34.28

Step-by-step explanation:

The value of x was found to be 34.28.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

Given the base of the triangle is x

The perpendicular = 19

So we can write tan(29°) = 19 / x

x = 19 / tan(29°)

x = 19/0.55

x=34.28

Hence the value of x was found to be 34.28.

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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Using the combination formula, it is found that there are 495 ways to choose a 4-topping sandwich.

The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

4 toppings are chosen from a set of 12, hence the number of ways is given by:

\(C_{12,4} = \frac{12!}{4!8!} = 495\)

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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Answer:

Less than

Step-by-step explanation:

since the value is negative, it will be less than -5.00

if it was positive 6.75 then it would be positive but in this case it is going to be negative

Composition of functions:

1. Find (fog)(x): Substitute the imputs (x-values) in f for function g:

2. Simplify:

3. Find (fog)(4). Evaluate the fucntion (fog) when x=4:

The coordinates of the midpoint of the line segment are (3, 5).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, the endpoints are given as  (4,0) and (1,3)

Therefore,

x1 = 4, y1 = 0

x2 = 1, y2 = 3

Since, midpoint divides a line segment into two equal halves, the ratio m : n = 1 : 1

Now, substituting the values in the section formula we get-

x = (4 + 1)/2

x = 5/2

x = 2.5

y =  (0 + 3)/2

y = 3/2

y = 1.5

Thus, the coordinates of the midpoint are (2.5, 1.5).

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Answer:

C

Step-by-step explanation:

3 7/12 - 1 1/6

1. Change 1 1/6 into the same denominator as 3 7/12.

3 7/12 - 1 2/12

2. Subtract whole numbers.

3 - 1 = 2

3. Subtract the fractions.

7/12 - 2/12 = 5/12

4. Answer is 2 5/12 (C).

hope this helps :)

Answer:

42 dollars

Step-by-step explanation:

Answer:

42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.

Step-by-step explanation:

The probability that the average amount of pollutants is more than 9 ppm is 28.1%.

The distribution of the average amount of pollutants for 18 randomly selected cities is normal with mean 8.5 ppm and standard deviation 1.4 ppm / 18 = 0.081 ppm.

The probability that the average amount of pollutants is more than 9 ppm is:

1 - P(Z < (9 - 8.5) / 0.081)

= 1 - P(Z < 0.588) = 1 - 0.719

= 0.281

Therefore, the probability that the average amount of pollutants is more than 9 ppm is 28.1%.

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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places.

For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm.

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

Answer:

m = 5

Step-by-step explanation:

A quadratic function is in the form \(ax^{2} +bx+c\).

To factor an equation, you are looking for two numbers that multiply to c (are factors of c), and add to b. In this case, c = -15, and b = 2.

The factors of -15 include 1, 3, 5, 15, -1, -3, -5, and -15.

After looking through the possible combinations, we can come to the conclusion that the only factors that multiply to -15 and add to 2 are 5 and -3, as 5 x -3 = -15, and 5 + -3 = 2.

You can now plug these numbers into the factored form (x + factor1)(x + factor2).

This then becomes (x + -3)(x + 5) or (x - 3)(x + 5).

Therefore, m = 5.

Answer:

Step-by-step explanation:

320% 360 = ?

320/100 * 360 =

3.2*360 = 1152