The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled Depth of Pond Water has Minutes on the x-axis and Feet on the y-axis. A line goes through points (2, 4) and (4, 8). The depth of the water is increasing by feet each minute.

The number of postage stamps in John’s collection is 27.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

⇒ y = 27

Hence, the number of postage stamps in John’s collection is 27.

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Answer:

4

Step-by-step explanation:

So when an angle is bisected, it splits it perfectly in half. The entire angle (PQR) is equal to 82 degrees, therefore PQS must be equal to half of 82, or 41.

So set up your equation: 10x+1=41. Just use basic algebra from here. Subtract 1 from both sides, then divide by 10. x=4. Hope this helps!

Answer:

2) y= 4x+17

Step-by-step explanation:

y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17

The next three terms in each geometric sequence is 72, 36, 18, 9, 4.5, 2.25.

The general form of Geometric Progression is: a, ar, ar 2, ar 3, ar 4,…,a n. Where,

a = First term.

r = common ratio.

a n = nth term.

General Term or Nth Term of GP.

Let a be the first term  

And, r be the common ratio for a G.P.

The general form of Geometric Progression is:

GP-series

Where,

a = First term

r = common ratio

arⁿ ⁻¹ = nth term

The next three terms of the GP is :

2.25 + 2.25 = 4.5

4.5 + 4.5 = 9

9 + 9 = 18

18 + 18 = 36

36 + 36 = 72

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Answer:

42 blue balls

Step-by-step explanation:

\(p=\frac{Blue Balls}{TotalBalls}\)

\(0.6=\frac{BlueBalls}{70}\)

\(BlueBalls=70(0.6)=42\)

Hope this helps

The equation that represents how many grams of sugar (s) are in some number of glasses of orange juice (g) is s = 21g. There are 84 grams of sugar in 4 glasses.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let s represent the amount of sugar in grams contained in g glasses of orange juice.

1) Each glass she pours contains 21 grams of sugar. Hence:

s = 21g

2) for g = 4:

s = 21(4) = 84

The equation that represents how many grams of sugar (s) are in some number of glasses of orange juice (g) is s = 21g. There are 84 grams of sugar in 4 glasses.

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Answer:

what the expert say

Step-by-step explanation:

a) The population means 99% confidence interval is (28.861, 32.939).

(b) The 95% confidence interval for the population mean μ is (29.258, 32.542).

(c) The 90% confidence interval for the population mean μ is (29.567, 32.233).

To calculate confidence intervals, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √Sample Size)

(a) For a 99% confidence level, the critical value is obtained from the standard normal distribution as 2.576.

Using the formula's provided values, we obtain:

Confidence Interval = 30.9 ± (2.576) * (2.47 / √70) = (28.861, 32.939).

(b) For a 95% confidence level, the critical value is 1.96. Substituting the values, we have:

Confidence Interval = 30.9 ± (1.96) * (2.47 / √70) = (29.258, 32.542).

(c) For a 90% confidence level, the critical value is 1.645. Using the formula:

Confidence Interval = 30.9 ± (1.645) * (2.47 / √70) = (29.567, 32.233).

In each case, the confidence interval gives us a range of values within which we can be confident that the population mean lies, based on the sample mean and the given level of confidence. The interval is wider the higher the confidence level.

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The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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The area to the right of z = 2 is approximately 0.0228 or 2.28%. So, there is a 2.28% probability that demand is 400 or more.

To answer this question, we need to use the concept of deviation and distribution. In this case, we know that demand is normally distributed with a mean of 300 and a standard deviation of 50.
To find the probability that demand is 400 or more, we need to find the area under the normal curve to the right of 400. We can use a standard normal distribution table or a calculator to find this probability.
Using a calculator, we can standardize the value of 400 as follows:
z = (400 - 300) / 50
z = 2
We then look up the probability of a standard normal distribution being greater than 2, which is approximately 0.0228.
Therefore, the probability that demand is 400 or more is approximately 0.0228 or 2.28%.

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Answer:

10.7

Step-by-step explanation:

use

a^2+b^2=c^2

...........

Answer:

x ≈ 10.72

Step-by-step explanation:

Use the Pythagorean Theorem, or

a² + b² = c²

to find x.

a² + b² = c²

9² + x² = 14²

81 + x² = 196

Subtract 81 from both sides.

x² = 115

Take the square root.

x = √115

When rounded to the nearest hundredth as a decimal, the answer is

x = 10.72.

Answer:

Step-by-step explanation:

Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6

\(\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\\)

Add 5/6 to both sides and simplify

\(\frac{a}{4} =\frac{1}{3}\)

Multiply both sides by 4 to get

a=4/3

Answer:

40 percent

Step-by-step explanation:

100 / 5 = 20

⅕ = 20 percent

⅗ = 60 percent

100 - 60 = 40

Answer:

3

5

(

−

2

)

Step-by-step explanation:

Simplify then multiple the numbers

Answer:

B or D, I can't tell from these answer choices.  X-8

Step-by-step explanation:

Shanique has 8 less questions than John (X).

Answer:

the rate of change is 16. 2÷32 = 16

4÷32 is 16 etc

Answer:

1X = 16Y every time the X value goes up by one it increase by 16.

Step-by-step explanation:

If you do 32/2 you will get the answer 16 and if you do 4/64 it also says 16.

The difference between (2,32) and (4,64) 64-32 is 32 4-2 is 2 and you also get 32,2 from that equation.

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

\(2^x=1-3^x\)

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

\(2^{-0.75}=1-3^{-0.75}\)

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

\(2^{-1.25}=1-3^{-1.25}\)

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

\(2^{0.75}=1-3^{0.75}\)

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

\(2^{1.25}=1-3^{1.25}\)

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

Answer:

-3x>24

Step-by-step explanation:

-3x-10>14

now we add 10 to both sides, 10+14 is 24

so, the missing step is -3x>24

To find the transitive closures of the given relations, we can use Algorithm 1, also known as the Warshall's algorithm. Here are the transitive closures for each relation:

a. Relation: {(1,2), (2,1), (2,3), (3,4), (4,1)}

  Transitive Closure: {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

b. Relation: {(2,1), (2, 3), (3,1), (3,4), (4,1), (4, 3)}

  Transitive Closure: {(2,1), (2,3), (2,4), (3,1), (3,3), (3,4), (4,1), (4,3), (4,4)}

c. Relation: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}

  Transitive Closure: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}

d. Relation: {(1, 1), (1,4), (2,1), (2,3), (3, 1), (3, 2), (3,4), (4, 2)}

  Transitive Closure: {(1,1), (1,4), (2,1), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

In the transitive closure, every pair (i, j) represents a directed edge from i to j in the transitive closure graph.

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Statistics indicate that 45% of all small businesses fail after three years. This is a concerning statistic for entrepreneurs who are considering starting their own business.

It is important for potential business owners to understand the reasons why small businesses fail and take steps to mitigate these risks. Some common reasons for failure include poor management, insufficient funding, lack of market demand, and competition.

One way to mitigate these risks is by having a solid business plan in place that includes a realistic assessment of the market, a clear understanding of the competition, and a plan for securing financing. Additionally, having a strong risk tolerance and the ability to adapt to changing market conditions can also increase the chances of success for small businesses.

Ultimately, the key to success for small businesses is a combination of careful planning, strong management, and a willingness to take calculated risks.

One of the contributing factors to this failure rate is the business owner's risk tolerance (3) B), which may lead them to take on more financial obligations than they can handle. Additionally, securing proper financing (4) D) is crucial for the success and growth of a small business, and a lack of adequate funding may contribute to the high failure rate.

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Answer:

30 seats

Step-by-step explanation:

For every row, there are 2 seats on the left and 3 seats on the right.

If there are 45 seats total on the right side, then there must be 45/3 = 15 rows. Therefore, there are 15*2= 30 seats on the left.

The equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

What is Equation in Spherical Coordinates?

A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.

\($r^2 = 81$\)

To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:

\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)

Since \(r^2 = 81,\) we can substitute it into the equation:

\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)

Finally, we divide the equation by 81 to simplify:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

So, the equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

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Answer:

6:8, 3:4

hope this helps, im not sure if im correct tho sorry

Step-by-step explanation:

Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

In summary, the correct statements are:

The domain is the set of all integers from 0 to 43.

The range is the set of all multiples of 3 from 0 to 129.

this is the best i could do, make what you want of it, good luck

Step-by-step explanation:

he domain of this function is the set of all possible inputs, which in this case is the number of watermelons the farmer can sell. Since the farmer has 43 watermelons and cannot sell a fraction of a watermelon, the domain is the set of all integers from 0 to 43. So, the first statement is correct.

The second statement is incorrect because the farmer cannot sell a fraction of a watermelon, so the domain cannot include all real numbers from 0 to 43.

The range of this function is the set of all possible outputs, which in this case is the total sales in dollars. Since the farmer sells each watermelon for $3, her total sales will be a multiple of 3. The minimum sales value is $0 (if she sells no watermelons) and the maximum sales value is $129 (if she sells all 43 watermelons). So, the range is the set of all multiples of 3 from 0 to 129. Therefore, the fourth statement is correct.

The third statement is incorrect because not all integers between 0 and 129 are possible values for the farmer’s total sales. For example, she cannot make $2 in sales because her sales will always be a multiple of 3.

The fifth statement is incorrect because it implies that the farmer can only make sales in multiples of 43, which is not true since she sells each watermelon for $3.

In summary, the correct statements are:

The domain is the set of all integers from 0 to 43.

The range is the set of all multiples of 3 from 0 to 129.

Since WXYZ is a rhombus, the diagonal segment ZX bisects the angle WZY. Therefore,

Since WXYZ is a rhombus, segment WZ is parallel to segment XY and segment ZY is a transversal. So,

Therefore, the measure of the angle ZYX is 101.

Answer:

(-1,-6)

Step-by-step explanation:

1. Translation 4 units to the left - (-1,4)

2. Reflection across the x axis - (-1,-4)

3. Translation 2 units down - (-1,-6)

The perimeter of the triangle is 11x² + 2x - 3.

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

The perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, the triangle has the side length 2x² + 3x -5, 5x² - 2x + 3, and 4x²+ x - 1.

Hence,

perimeter of the triangle = 2x² + 3x -5 + 5x² - 2x + 3 + 4x²+ x - 1

combine like terms

perimeter of the triangle = 2x² + 5x² + 4x² + 3x - 2x + x - 5 + 3 - 1

perimeter of the triangle = 11x² + 2x - 3

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The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:

–78.01x + 38.2.

To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.

First, we distribute –9.2 to the terms inside the first parentheses:

–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8

Next, we distribute 0.7 to the terms inside the second parentheses:

0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x

Now, we combine the simplified terms:

–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4

Finally, we combine like terms:

–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2

Therefore, the simplified expression is –78.01x + 38.2.

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Answer:9

Step-by-step explanation: 529 x 529 x 529=

148035889

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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