the equation of a line in slope-intercept form is y=mx b, where m is the x-intercept. True or false

To find the area under the standard normal curve, follow the following steps: Step 1: Draw the Standard Normal Curve. The standard normal curve is a symmetrical bell-shaped curve. The horizontal axis represents the z-values, which represent the standard deviations from the mean of the curve. The vertical axis represents the probability density, which indicates the likelihood of each z-value occurring. Step 2: Identify the Area of Interest. Under the standard normal curve, the area of interest is the shaded region that represents the probability of an event occurring. The event can be a range of z-values or a specific z-value. The area under the curve represents the probability of the event occurring. Step 3: Use the Standard Normal Table.

The standard normal table is a table of values that corresponds to the area under the curve for different z-values. The table provides the area to the left of a given z-value. To find the area between two z-values, subtract the area to the left of the smaller z-value from the area to the left of the larger z-value. The area to the right of a z-value can be found by subtracting the area to the left of the z-value from 1. To find the area for a specific z-value, use the standard normal table to find the area to the left of the z-value. Step 4: Calculate the Area.

Under the standard normal curve, the area is measured in units of standard deviation. The area between two z-values or to the right of a z-value can be calculated by multiplying the area from the standard normal table by the standard deviation of the curve. For example, if the area to the left of a z-value is 0.35 and the standard deviation of the curve is 2, then the area between the mean and the z-value is 0.35 x 2 = 0.70 square units. The area to the right of the z-value is 1 - 0.35 = 0.65, so the area beyond the z-value is 0.65 x 2 = 1.30 square units.

In summary, to find the area under the standard normal curve, draw the curve, identify the area of interest, use the standard normal table to find the area to the left of the z-value, and calculate the area in units of standard deviation. This calculation helps to interpret the probability of an event occurring in a given population. In about 200 words, this is how to find the area under the standard normal curve.

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The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

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Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Answer: 4th option (the one already selected)

Step-by-step explanation: as the X variable changes by 7 the Y variable changes by 1

Step-by-step explanation:

(0.05)²

CHANGE 0.05 INTO SCIENTIFIC NOTATION

= (5 × 10^-2)²

SQUARE IT OFF EACH NUMBER

= 5² × (10^-2)²

=25 × 10^-4

=0.025

Answer:

.05×.05=.0025 because it is squared

Answer:

gradient = - \(\frac{1}{5}\)

Step-by-step explanation:

calculate the gradient ( slope ) m of the line using the slope formula.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (1, - 1 )

m = \(\frac{-1-0}{1-(-4)}\) = \(\frac{-1}{1+4}\) = - \(\frac{1}{5}\)

Answer:

The points present in the first quadrant are of the form (a, b) where a, b>0.

Step-by-step explanation:

The points present in the first quadrant are of the form (a, b) where a, b>0.

In the first quadrant both the abscissa and ordinate are positive.

In the second quadrant the abscissa is negative and ordinate is positive.

In the third quadrant both the abscissa and ordinate are negative.

In the forth quadrant both the abscissa is positive and ordinate are negative.

The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.

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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.

Step-by-step explanation: Source - I took the test.

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer:

A) T is located on (-5, 2); radius = 9 units

Step-by-step explanation:

eqn of circle= (x-a)^2 + (y-b)^2 = r^2

where (a,b) is centre of circle.

(x+5)^2 = (x - (-5) )^2

(y-2)^2 = (y - (2) )^2

(-5,2)

r^2 =81

r = sqrt of 81

r = 9

Answer:

120in. ezy

Step-by-step explanation:

Step-by-step explanation:

As you know

\( a_{n} = a_{1} \times {r}^{n - 1} \)

1.

\(3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}\)

2.

\(2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}\)

3.

\( - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} \)

The tree is 23.54 feet tall.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

According to the question,

Height of tree= 22*tan \(47^{o}\)

                       = 22* 1.07

                       = 23.54 ft.

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The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

So, ∠2 = 34°:

Now calculate other angles as follows:

(1) ∠1:

We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,

(2) ∠3:

∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.

(3) ∠4:

∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.

Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

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Answer:

The slope is -7 and the y intercept is -3

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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We have shown that E(Z) = E(X) + E(Y) for nonnegative random variables X and Y.

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

To show that E(Z) = E(X) + E(Y), we need to use the definition of the expected value of a random variable and some properties of max function.

The expected value of a random variable X is defined as E(X) = ∑x P(X = x), where the sum is taken over all possible values of X.

Now, let's consider the random variable Z = max(X, Y). The probability that Z is less than or equal to some number z is the same as the probability that both X and Y are less than or equal to z. In other words, P(Z ≤ z) = P(X ≤ z and Y ≤ z).

Using the fact that X and Y are nonnegative, we can write:

P(Z ≤ z) = P(max(X,Y) ≤ z) = P(X ≤ z and Y ≤ z)

Now, we can apply the distributive property of probability:

P(Z ≤ z) = P(X ≤ z)P(Y ≤ z)

Differentiating both sides of the above equation with respect to z yields:

d/dz P(Z ≤ z) = d/dz [P(X ≤ z)P(Y ≤ z)]

P(Z = z) = P(X ≤ z) d/dz P(Y ≤ z) + P(Y ≤ z) d/dz P(X ≤ z)

Since X and Y are nonnegative, we have d/dz P(X ≤ z) = P(X = z) and d/dz P(Y ≤ z) = P(Y = z). Therefore, we can simplify the above expression as:

P(Z = z) = P(X = z) P(Y ≤ z) + P(Y = z) P(X ≤ z)

Now, we can calculate the expected value of Z as:

E(Z) = ∑z z P(Z = z)

    = ∑z z [P(X = z) P(Y ≤ z) + P(Y = z) P(X ≤ z)]

    = ∑z z P(X = z) P(Y ≤ z) + ∑z z P(Y = z) P(X ≤ z)

Since X and Y are nonnegative, we have:

∑z z P(X = z) P(Y ≤ z) = E(X) P(Y ≤ Z) and

∑z z P(Y = z) P(X ≤ z) = E(Y) P(X ≤ Z)

Substituting these values in the expression for E(Z) above, we get:

E(Z) = E(X) P(Y ≤ Z) + E(Y) P(X ≤ Z)

Finally, we note that P(Y ≤ Z) = P(X ≤ Z) = 1, since Z is defined as the maximum of X and Y. Therefore, we can simplify the above expression as:

E(Z) = E(X) + E(Y)

Thus, we have shown that E(Z) = E(X) + E(Y) for nonnegative random variables X and Y.

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This is just simple subtraction, 59.99 - 47.50

The answer is C: 12.49

B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.

Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.

Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.

Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.

Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.

Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.

It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.

Regarding the other options you mentioned:

A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.

C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.

D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.

In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

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The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Equation: y * 5 = 85

In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.

This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.

For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.

In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.

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The percentage change in quantity demanded, rate of change of -19 means that for every one dollar increase in price, the demand for the portable USB battery charger decreases by 19 units.

a. The demand of a product with respect to price is known as price elasticity of demand.

The rate of change of demand with respect to price can be found by differentiating the demand function with respect to price.

So, we differentiate D(p) with respect to p,

we get;

D'(p) = -2p+5

Therefore, the rate of change of demand with respect to price is -2p + 5.

b. When the price of the portable USB battery charger is $12, the demand is given by D(12) = -12²+5(12)+1

= -143 units.

The rate of change of demand when the price is $12 can be found by substituting p = 12 into D'(p) = -2p + 5,

we get;

D(p) = -p² + 5p + 1

Taking the derivative with respect to p:

D'(p) = -2p + 5

D'(12) = -2(12) + 5= -19.

Interpretation:The demand for a portable USB battery charger is inelastic at the price of $12, since the absolute value of the rate of change of demand is less than 1.

This means that the percentage change in quantity demanded is less than the percentage change in price.

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Answer:

It is going to be G - 3,024 m²

Step-by-step explanation:

:)

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

To determine how much Julian likely gets paid as a photographer based on average median pay, we need to consider various factors such as location, experience, industry, and specialization.

While the average median pay can provide a general estimate, it's important to note that individual salaries can vary significantly.

According to the U.S. Bureau of Labor Statistics (BLS), the median annual wage for photographers in 2020 was $38,850. This means that half of the photographers earned less than this amount, and half earned more. However, this figure represents the overall median across various industries and regions.

To get a more accurate estimate, it's crucial to consider specific factors. Geographic location plays a significant role in determining photographer salaries, as the cost of living and demand for photography services can vary from one location to another.

For instance, photographers working in major cities or affluent areas tend to earn higher salaries compared to those in rural or less populated areas.

Experience and specialization also impact photographer salaries. More experienced photographers or those with specialized skills such as wedding photography, fashion photography, or commercial photography, tend to command higher rates due to their expertise.

Additionally, factors like the size and reputation of the company or studio where Julian works can affect his salary. Established studios or well-known brands often have higher budgets and can offer more competitive compensation.

Therefore, while the average median pay for photographers provides a starting point, it's essential to consider additional factors to estimate Julian's likely salary accurately. Researching industry-specific salary surveys, local market conditions, and consulting with professionals in the field can provide a better understanding of the expected salary range for Julian's position.

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Answer:

44

Step-by-step explanation:

25dided by 4 is 6.25

multiply 6.25 and 7 and you'll get 43.75

round that to the nearest whole and you get 44