if a gradient is 0, then what is the equation for it?​

The domain for this function is -3 <= x <= 3.

In mathematics, the domain of a function is the set of all input values (also known as independent variables or arguments) for which the function is defined and produces a valid output (also known as dependent variable or value). It is the set of all values for which the function can be evaluated.

The domain of a function can be represented in different ways, including intervals, sets of numbers, or graphs. For example, the domain of a function might be all real numbers, all positive numbers, all negative numbers, or a combination of intervals or sets.

It is important to determine the domain of a function in order to make sense of the function and to use it effectively. If a function is not defined for certain values, those values are not part of the domain, and evaluating the function for those values would result in an undefined or an error.

The domain of a function can be restricted by constraints, such as mathematical conditions that must be satisfied for the function to be defined, or physical limitations that determine the range of inputs for which the function can be used.

In summary, the domain of a function represents the set of all valid inputs for which the function is defined, and it is an important aspect of understanding and using functions in mathematics and other fields.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

For the function with the given coordinates, the x-values range from -3 to 3.

Therefore, the domain of the function is all real numbers between -3 and 3, or:

-3 <= x <= 3.

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Answer:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Answer:

"0.07" is the appropriate answer.

Step-by-step explanation:

The given values are:

P(Stock),

= 0.60

P(Bond),

= 0.50

P(Bond | Stock),

= 0.06

Now,

The P(Stock | Bond) will be:

⇒  \(P(Stock|Bond)= \frac{P(Stock \ and \ Bond)}{P(Bond)}\)

or,

⇒  \(P(Stock|Bond)=\frac{P(Bond|Stock).P(Stock)}{P(Bond)}\)

On substituting the given values, we get

⇒                           \(=\frac{0.06\times 0.60}{0.50}\)

⇒                           \(=\frac{0.036}{0.50}\)

⇒                           \(=0.07\)

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer: 1/20

Step-by-step explanation:

Number of lemonades = 1

Total number of drinks = 20

Therefore, the probability that the next drink that's sold will be lemonade will be:

= Number of lemonades / Total drinks

= 1/20

Therefore, the answer is 1/20

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The null hypothesis is rejected on the basis of p- value and test statistic.

A hypothesis test is a formal statistical test we use to reject or fail to reject a statistical hypothesis.

The null hypothesis, denoted as H0, is the hypothesis that the sample data occurs purely from chance.The alternative hypothesis, denoted as HA, is the hypothesis that the sample data is influenced by some non-random cause.

Decide on a significance level. Common choices are .01, .05, and .1.

Use the sample data to calculate a test statistic and a corresponding p-value. If the p-value is less than the significance level, then you reject the null hypothesis. If the p-value is not less than the significance level, then you fail to reject the null hypothesis.

You can use the following clever line to remember this rule: “If the p is low, the null must go.”

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In order to divide these polynomials, let's use the following property:

So we have:

An inequality which represents this situation, and if the fires continue to decrease the area of the forests at the same rate, will the state be able to keep their funding from the nonprofit wildlife organization in 5 years is: C. 24,000(0.908)^t > 15,000; no.

From the information provided, we can logically deduce that only an exponential function would model or represent the rate at which the forest fires decrease, and this is given by this mathematical expression:

y = a(b)^t

Where:

For the value of b, we have:

b = 100% - 9.2%

b = 90.8%

b = 90.8/100

b = 0.908.

Substituting the given parameters into the formula, we have;

y = a(b)^t

y = 24,000(0.908)^t

Therefore, an inequality that represent the situation is given by:

24,000(0.908)^t > 15,000.

When the value of t = 5 years, the area of the forest in square miles is given by:

y = 24,000(0.908)^t

y = 24,000(0.908)^5

y = 24,000 × 0.61720472567

y = 14,812.913 ≈ 14,813 square miles.

Therefore, the verdict is as follows:

14,813 > 15,000 (False and No).

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Complete Question:

There are 24,000 square miles of forest in a western state. Forest fires decrease this area by 9.2% each year. The state needs to have more than 15,000 square miles of forest to keep their funding from a nonprofit wildlife organization.

Which inequality represents this situation, and if the fires continue to decrease the area of the forests at the same rate, will the state be able to keep their funding from the nonprofit wildlife organization in 5 years?

A. 24,000(1.092)^t > 15,000; no

B. 24,000(0.092)^t > 15,000; yes

C. 24,000(0.908)^t > 15,000; no

D. 24,000(1.098)^t > 15,000; yes​

Answer:

24,000(0.908)t > 15,000; no

Step-by-step explanation:

The area of forest remaining in the state decreases at a rate of 9.2% each year. Thus, the area remaining after t years can be represented by an exponential expression, a(b)t, where a is the initial area of forest and b is the base of the exponent.

Since the area of forest remaining in the state decreases at a rate of 9.2% each year, the variable r represents the decay rate. Thus, for this situation, r is 9.2%, or r = 0.092. Substitute this value into the decay rate equation below, and solve for b.

\(1-b=r\\1-b=0.092\\-b=0.092-1\\-b=-0.908\\\frac{-b}{-1}=\frac{-0.908}{-1} \\b=0.908\)

The area of forest after t years needs to be greater than or equal to 15,000 square miles for the state to keep their funding, so use the greater than symbol and compare to 15,000 square miles. The initial area of forest is 24,000 square miles. So, substitute a = 24,000 and b = 0.908 into the exponential inequality to represent this situation.

\(a(b)^{t} > 15,000\\ 24,000(0.908)^{t} > 15,000\)

Thus, the inequality that represents this situation is 24,000(0.908)t > 15,000.

To find if the state will be able to keep their funding in 5 years, substitute t = 5 into the inequality and determine if this value yields a true statement.

\(24,000(0.908)^{5} > 15,000 \\ 14,812.91 > 15,000\)

Since, 14,812.91 is not greater than 15,000, the inequality is false. Thus, in five years, no, the state will not be able to keep their funding from the nonprofit wildlife organization.

The expression (0.75x^4 + 0.5x^3 - 0.625x^2) / (0.25x^2) simplifies to (3x^2 + 2x - 2.5) when x is not equal to 0, obtained by factoring out the common term and canceling the common factor of 0.25x^2 in the numerator and denominator.

To simplify the given expression, let's start by factoring out the common term of 0.25x^2 from the numerator:

(0.75x^4 + 0.5x^3 - 0.625x^2) / (0.25x^2)

= (0.25x^2(3x^2 + 2x - 2.5)) / (0.25x^2)

Next, we can cancel out the common factor of 0.25x^2 in the numerator and denominator:

= (3x^2 + 2x - 2.5)

Hence, the expression (0.75x^4 + 0.5x^3 - 0.625x^2) / (0.25x^2) simplifies to (3x^2 + 2x - 2.5) when x is not equal to 0.

By factoring out the common term and then canceling out the common factor, we eliminate the x^2 term from the denominator and simplify the expression.

This result holds true as long as x is not equal to 0 since division by zero is undefined. Therefore, (3x^2 + 2x - 2.5) is equivalent to the original expression when x is not equal to 0.

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Given:

Initial savings in Katie's account = $230

Additional savings = $5 per month

To find:

The expression that represents the money Katie will have in her savings account after x months.

Solution:

Let x be the number of months.

Additional savings for 1 month = $5

Additional savings for x months = $5x

Now,

Total savings = Initial saving + additional savings for x months.

\(\text{Total savings}=230+5x\)

Therefore, the required expression is \(230+5x\).

Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

The most probable value for the line is approximately 200.91 feet. This means that, based on the given measurements, the value closest to the center of the dataset is 200.91 feet, and it is considered the most probable value.

The most probable value for the line can be determined by calculating the arithmetic mean of the given length measurements.

To find the most probable value, we add up all the measurements and divide the sum by the total number of measurements. In this case, we have six independent length measurements:

201.20 + 201.22 + 201.39 + 201.18 + 201.11 + 201.35 = 1205.45

Next, we divide the sum by 6 (the total number of measurements):

1205.45 / 6 = 200.9083

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Z score of a 3rd grader who is 47 inches tall with mean of 52 inches and standard deviation of 2.5 inches is  2

Z- Score give an idea how far a data point is from mean .

z = x- μ / σ where numerator is difference between the random variable and the actual mean dividing by the standard deviation .

Given , x = 47 inches

standard deviation = 2.5 inches

mean = 52 inches

z-score = x- μ / σ

putting all the values ,

z-score = 47 - 52 / 2.5

= -5 / 2.5

= -2

|Z| = 2

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Step-by-step explanation:

0.5×3×4= 6cm^2

6×8

=48cm^3

Answer: B(false)

Step-by-step explanation: if you want to make a triangle, the 3 sides have to be equal:)

Answer:

A) True

Step-by-step explanation:

The other person is wrong, so allow me to refute their argument and then explain my point.

They claim that for a triangle to be formed, all 3 sides need to be equal. We know this isn't true because there is a special classification for triangles with 3 sides: equilateral triangles. We know that there are also triangles where only 2 sides are equal: isosceles triangles. And we also know there are triangles with no sides equal: scalene triangles.

Point 1: not all the sides need to be equal.

There is actually a test to check if it will work. We need to take the two smaller sides and add them up. If the sum of those two sides is greater than the longest side then a triangle can be made out of it. Otherwise, a triangle cannot be made out of it.

Let's take our two smaller sides and add them up to find the sum. 4+3 = 7.

Now let's take our longest side and compare. Our longest side is 6.

And 7 is indeed a larger number than 6. Therefore, a triangle can be made out of it.

Answer:

0.88888888888

Step-by-step explanation:

Answer:

use a calculator

Step-by-step explanation:

The cost of a new home, built of standard materials, with standard techniques and design replacement cost and reproduction cost may be the same.

When analyzing the cost of a new home built with standard materials, techniques, and design, the relationship between replacement cost and reproduction cost may vary. Option 4) Replacement cost and reproduction cost may be the same, is the most accurate statement.

Replacement cost refers to the amount required to replace or rebuild a property, while reproduction cost refers to the cost of constructing an exact replica of the original property. These costs can be the same in some cases, but factors such as market conditions, construction costs, and availability of materials can affect the costs differently. Cost and value are not always the same, as value considers factors such as location, demand, and economic conditions.

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Answer:

B=28

Step-by-step explanation:

Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.

Step-by-step explanation:

Answer:

When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

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The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

The number of people who finished the race is 18.

In the first half of the race, 2/5 of them dropped out. The remaining will be:

= 1 - 2/5 = 3/5

In the second half of the race, 5/8 of the remaining runners dropped out. This will be:

= 5/8 × 3/5

= 3/8

Therefore, this that finished the race will be:

= 80 - [(2/5 + 3/8) × 80]

= 80 - (31/40 × 80)

= 80 - 62

= 18

The concept of fractions was used

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Answer:

Step-by-step explanation:

There is enough evidence to support the claim that the average age for online students is older than 26.6. To test the instructor's claim, we can use a hypothesis test.

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The average age for online students is 26.6 or less.
Alternative hypothesis (Ha): The average age for online students is greater than 26.6.

We'll use a one-sample t-test since we have a sample mean and want to compare it to a population mean.

Next, we calculate the t-value using the formula:
t = (sample mean - population mean) / (standard deviation / sqrt(sample size))
t = (29.4 - 26.6) / (2.1 / sqrt(56))
t = 2.8 / (2.1 / 7.483) ≈ 9.99

Finally, we compare the calculated t-value to the critical t-value at a chosen significance level (e.g., α = 0.05). If the calculated t-value is greater than the critical t-value, we reject the null hypothesis.

Looking up the critical t-value with 55 degrees of freedom (sample size - 1) and a significance level of 0.05, we find it to be approximately 1.671.

Since our calculated t-value (9.99) is greater than the critical t-value (1.671), we reject the null hypothesis. This suggests there is enough evidence to support the claim that the average age for online students is older than 26.6.\

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Complete question:

an instructor thinks the average age for online students is older than 26.6. she randomly surveys 56 online students and finds that the sample average is 29.4 with a standard deviation of 2.1.

Answer: 1,232

The steps are in the attached file.

Answer:

- 20 and 31

Step-by-step explanation:

Solve the given equations simultaneously to find x and y

2x + y = 23 → (1)

4x - y = 19 → (2)

Adding the 2 equations term by term will eliminate y

6x + 0 = 42

6x = 42 ( divide both sides by 6 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (1)

2(7) + y = 23

14 + y = 23 ( subtract 14 from both sides )

y = 9

Then

x - 3y = 7 - 3(9) = 7 - 27 = - 20

5y - 2x = 5(9) - 2(7) = 45 - 14 = 31

Answer:

 the side of square = 2.83 inches

Step-by-step explanation: