20b<300 solve the inequality and graph the solution

Answer:

69 3/10 square meters

Explanation:

Given the expression:

First, change each mixed fraction to an improper fraction:

To change a mixed fraction, multiply the denominator by the whole number, add the numerator:

Thus, the expression becomes:

Next, multiply the numerators and denominators:

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

The cost of one orange is $0.26 and the cost of one apple is $0.32.

What is a linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's denote the cost of one orange as 'o' and the cost of one apple as 'a'.

We can form two equations from the given information:

12o + 7a = 5.36 ...........(1)

8o + 5a = 3.68 ...........(2)

To solve for 'o' and 'a', we need to eliminate one of the variables. We can do this by multiplying equation (2) by 3 and equation (1) by 5, and then subtracting equation (2) from equation (1):

60o + 35a = 26.80

-(24o + 15a = 11.04)

36o + 20a = 15.76 ...........(3)

Now, we can solve for one of the variables by eliminating the other. Let's eliminate 'a' by multiplying equation (2) by 4 and subtracting it from equation (3):

36o + 20a = 15.76

-(32o + 20a = 14.72)

4o = 1.04

Dividing both sides by 4, we get:

o = 0.26

Now, we can substitute the value of 'o' into either equation (1) or (2) to solve for 'a'. Let's use equation (1):

12o + 7a = 5.36

12(0.26) + 7a = 5.36

3.12 + 7a = 5.36

7a = 2.24

a = 0.32

Therefore, the cost of one orange is $0.26 and the cost of one apple is $0.32.

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The partial differential equation (PDE) that cannot be solved exactly using the separation of variables method is 8²u/a² = ∂rª/∂x² + ∂²u/∂y² = Q[u] = 0. This PDE involves the Laplacian operator (∂²/∂x² + ∂²/∂y²) and a source term Q[u].

The Laplacian operator is a second-order differential operator that appears in many physical phenomena, such as heat conduction and wave propagation.

When using the separation of variables method, we assume that the solution to the PDE can be expressed as a product of functions of the individual variables: u(x, y) = X(x)Y(y). By substituting this into the PDE and separating the variables, we obtain different ordinary differential equations (ODEs) for X(x) and Y(y). However, in the given PDE, the presence of the Laplacian operator (∂²/∂x² + ∂²/∂y²) makes it impossible to separate the variables and obtain two independent ODEs. Therefore, the separation of variables method cannot be applied to solve this PDE exactly.

In contrast, for PDEs without the Laplacian operator or with simpler operators, such as the heat equation or the wave equation, the separation of variables method can be used to find exact solutions. In those cases, after separating the variables and obtaining the ODEs, we solve them individually to find the functions X(x) and Y(y). The solution is then expressed as the product of these functions.

In summary, the given PDE 8²u/a² = ∂rª/∂x² + ∂²u/∂y² = Q[u] = 0 cannot be solved exactly using the separation of variables method due to the presence of the Laplacian operator. The separation of variables method is applicable to PDEs with simpler operators, enabling the solution to be expressed as a product of functions of individual variables.

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The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

Step-by-step explanation:

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Um maybe try it out then ask for help from the teacher

Answer:

The image attached is how to format a Punnett square. One parent's genes are at the top, and the other parent's genes are on the left side. Each square represents an equal 25% chance of what genes the offspring will have.

#3 should look like this:

\(\left[\begin{array}{ccc}&T&t\\t&Tt&tt\\t&Tt&tt\end{array}\right]\)

Hopefully now you can figure out the rest. If you need anymore help, ask :D

The minimum number of masthead lights for the given vessel is 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,

Masthead lights = total length of the tow / total length of the vessel
                        = 100 / 35 = 2.85

So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.

Thus, the minimum number of masthead lights for the given vessel is 2.

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When the PTA made $2,400 in ticket sales for their annual fundraiser. The equation is 6a + 3c = 2400. This is a linear function.

Per unit of time, linear functions evolve at a fixed rate. Over equal intervals, an exponential function evolves by a common ratio.

A linear function is a function in which the rate of change between the two variables is constant. This means that if the number of adult tickets increases by a certain amount, the number of children's tickets will also increase by a fixed amount. For example, if the number of adult tickets increases by 10 and the number of children's tickets increases by 5, the relationship between the two variables is linear.

In this case, PTA made $2,400 in ticket sales for their annual fundraiser. Adult tickets, a, are $6.00 and children's tickets, c, are half price. The equation will be 6a + 3c = 2400.

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Answer:

A vesting period is the time an employee must work for an employer in order to own outright employee stock options, shares of company stock or employer contributions to a tax-advantaged retirement plan.

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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If a many-to-many-to-many relationship is created when it is not appropriate to do so, the problem can be corrected by re-designing the database schema to remove the unnecessary relationship.

Here are some steps you can follow to correct the problem:

Analyze the existing database schema to identify the many-to-many-to-many relationship and the tables involved in it.

Evaluate the relationship to determine whether it is necessary or not. If it is not, remove it from the schema.

If the relationship is necessary, analyze the tables and their attributes to identify the primary keys and foreign keys involved in the relationship.

Create a new table to serve as an intermediary between the tables involved in the relationship.

Update the foreign keys in the related tables to point to the primary keys in the new intermediary table.

Migrate the data from the existing tables to the new intermediary table.

Test the new database schema to ensure that it functions correctly and that all data is correctly retrieved and stored.

Overall, the process of correcting a many-to-many-to-many relationship involves re-evaluating the database schema and modifying it as necessary to ensure that it is properly designed to store and retrieve data efficiently and accurately.

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A 95% confidence interval for the calorie count of the snack bars is (135.88, 167.24).

We will construct a 95% confidence interval for the calorie count of the snack bars using the given sample data and population standard deviation (σ=24).

Step 1: Calculate the sample mean (x)

x = (149+145+140+160+149+153+131+134+153) / 9

x = 1364 / 9

x = 151.56

Step 2: Find the z-score for a 95% confidence interval

The z-score for a 95% confidence interval is 1.96 (from the standard normal table).

Step 3: Calculate the standard error (SE)

SE = σ / √n

SE = 24 / √9

SE = 24 / 3

SE = 8

Step 4: Calculate the margin of error (ME)

ME = z-score * SE

ME = 1.96 * 8

ME = 15.68

Step 5: Construct the confidence interval

Lower limit = x - ME = 151.56 - 15.68 = 135.88

Upper limit = x + ME = 151.56 + 15.68 = 167.24

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With an annual dividend of $5.99 expected to grow at a constant rate of 3.5% and a market requirement of a 10.0% return, the stock is worth approximately $91.27.

The dividend discount model is a valuation method that estimates the intrinsic value of a stock by considering the present value of its future dividends. In this case, we can use the DDM formula to calculate the stock's worth:

Stock Price = Dividend / (Required Return - Dividend Growth Rate)

Given that Kraft Heinz pays an annual dividend of $5.99 and the expected growth rate is 3.5%, and the market requires a 10.0% return, we can substitute these values into the formula:

Stock Price = $5.99 / (0.10 - 0.035) = $5.99 / 0.065 ≈ $92.15

Therefore, based on the dividend discount model and the given assumptions, the stock price of Kraft Heinz is approximately $92.15.

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Answer:

music test

Step-by-step explanation:

divide each one and find the highest answer.

Answer:

Here is the detailed answer below

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

I think It's A and B. With you best of luck.

Step-by-step explanation:

To determine the number of ways the ant can move to the bottom left corner of the 4x6 checkerboard in exactly 10 moves, we can approach this problem using combinatorics and counting techniques.

Let's represent the ant's movements as a sequence of "U" (up), "D" (down), "L" (left), and "R" (right) corresponding to the directions the ant can move. Since the ant needs to reach the bottom left corner in exactly 10 moves, the sequence will consist of 10 characters.

Now, let's count the number of valid sequences. To reach the bottom left corner, the ant needs to move down six times and left four times. Therefore, we need to find the number of different arrangements of six "D" and four "L" in the sequence of 10 moves.

This can be calculated using combinations (binomial coefficients). The formula for combinations is:

C(n, k) = n! / (k! * (n - k)!)

In this case, we need to calculate C(10, 4) since we are selecting 4 positions for "L" from a total of 10 positions.

C(10, 4) = 10! / (4! * (10 - 4)!)

        = 10! / (4! * 6!)

        = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)

        = 210

Therefore, there are 210 different ways the ant can move to the bottom left corner of the 4x6 checkerboard in exactly 10 moves.

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

The function is increasing and decreasing over the same intervals as the function in the graph is y = | x+ 2|. The correct option is B.

The absolute value or modulus of a real number x, denoted |x| in mathematics, is the non-negative value of x regardless of its sign. Specifically,|x|=x.

In the given image the function is represented by the equation y = | x - 2 |. Now the similar function which is increasing and decreasing over the same intervals as the function in the graph is y = | x+ 2|.

Therefore, the correct option for the function is B.

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Answer:

Rock CD's=21

Country CD's=12

Soundtrack CD's=3

Step-by-step explanation:

let

r= rock CD's

c = country CD's

s = soundtrack CD's

Total CD's=r + c + s =39

2c=r

c/4=s

2c+c+c/4=39

8c+4c+c=156

13c=156

c=12

Substitute c=12 into 2c=r

2c=r

3(12)=r

24=r

r=24

Substitute c=12 into c/4=s

c/4=s

12/4=s

3=s

s=3

Therefore, she has

c=12

s=3

r=24

before she borrowed you 3 rock CD's

Sha has

r=21

s=3

c=12

after you borrowed 3 rock CD's

The store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

The store owner buys the grapes for 80 cents and sells it for 100 cents, so the profit is 100-80 = 20 cents.

The percentage of the profit is (profit/cost) x 100%. In this case, the profit is 20 cents and the cost is 80 cents, so the percentage of profit is (20/80) x 100% = 25%.

Therefore, the store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

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By following the pattern the next image in the pattern is (b) since the correct option is (b).

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers is arranged in a particular way, the arrangement is referred to as a pattern.

From the pattern given: In pattern one, the first column contains 2 blocks and the second column contains 1 block. In pattern second, the first column contains 3 blocks, the second column contains 2 blocks and the third column contains 1 block. In pattern third, the first column contains 4 blocks, the second column contains 3 blocks, the third column contains 2 blocks and the fourth column contains 1 block.

∴ You can observe that block the ks are arranged in descending numbers.

Hence, option (b) is correct.

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Answer:

Length = 4x - 5

Step-by-step explanation:

A = length x width

Answer:

it's the last option out of the list

Answer:

It is the last one (4th one).

Answer:

88

Step-by-step explanation:

you need to subtract 60 from 148 so that it takes the 60 dollars away and is left with what he had before he deposited

Answer:

the y intercept is 4

it represents that when it is 0 hours after sunrise the temperature is 4 degrees celcius

the slope is 4

it represents that every hour of sunrise the temperature increases by 4.

y = 4x + 4

Step-by-step explanation:

The

Answer:

a.: y intercept = 4

b.: the y intercept represents the temperature in degrees Celsius when no time has past.

c.: slope = 4

d.: the slope represents that for every hour that passes, the temperature rises 4 degrees.

e. y=4x + 4