Which graph describes Taco Truck 1?
Which graph describes Taco Truck 3?
Which graph describes Taco Truck 5?

The tangent line at x = −2 for the function f (x) = e^−2 + ln(x^2 + 5) is y - [e^(-2) + ln(9)] = (-4/9)(x + 2).

To calculate the tangent line at x

= −2

for the function

f (x)

= e^−2 + ln(x^2 + 5),

we use the slope-intercept formula that represents the equation of a straight line as

y = mx + b,

where m is the slope of the line and b is the y-intercept.

Answer:We start by finding the derivative of the function

f (x)

= e^−2 + ln(x^2 + 5).

f'(x)

= 0 + [1/(x^2 + 5)] * 2x

= 2x/(x^2 + 5)At x

= −2,

the slope of the tangent line is

f'(-2)

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

= -4/9.

The equation of the tangent line can be obtained by substituting the values of x, y, and m into the slope-intercept formula.

y - f(-2)

= m(x - (-2))y - [e^(-2) + ln((-2)^2 + 5))]

= (-4/9)(x + 2)y - [e^(-2) + ln(9)]

= (-4/9)(x + 2)

The tangent line at x = −2 for the function

f (x)

= e^−2 + ln(x^2 + 5) is

y - [e^(-2) + ln(9)]

= (-4/9)(x + 2).

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Answer:

1 7/8

Step-by-step explanation:

The answer is 1 7/8.

Using for loop we can get the syntax in order to calculate this arithmetic series n is A = 0.9999.

An arithmetic collection is the sum of the phrases in an mathematics collection with a specific range of phrases. Following is a easy system for locating the sum: Formula 1: If S n represents the sum of an mathematics collection with phrases.

This system calls for the values of the primary and ultimate phrases and the range of phrases. Finite Sequence- Finite sequences have countable phrases and do now no longer cross as much as infinity. An instance of a finite mathematics collection is 2, 4, 6, 8. Infinite Sequence- Infinite arithmetic collection is the collection wherein phrases cross as much as infinity.

using while

A=0; n=1; while n<=10000     A=A+(1/(n*(n+1)));     n=n+1; end A

output

A =      0.9999

using  for loop

A=0; for n=1:10000     A=A+(1/(n*(n+1))); end A

output

A = 0.9999.

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Correct Question:

The following series can be written with a shorthand form of sigma notation (A). Use while syntax to calculate this arithmetic series:

1/(1x2) + 1/(2x3) + 1/(3x4) + ... + 1/(n x (n+1)) ......1

A = ∈ 1/(n x (n+1)); n=[1:10000]

There is a positive relationship between income and the percentage of adult college graduates. This relationship is not deterministic and can vary across different contexts and populations.

Yes, there is generally a positive relationship between income and the percentage of adult college graduates in a given population. As income levels increase, the percentage of adults who have completed college tends to increase as well. This relationship can be observed across countries, within countries, and across different demographic groups.

One reason for this relationship is that higher levels of education tend to lead to higher paying jobs and greater economic opportunities. As a result, individuals with college degrees may be more likely to earn higher incomes and to have greater financial stability.

However, this relationship is complex and can be influenced by a variety of factors, including the type of degree earned, the field of study, and the overall economic climate.

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Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

The standard deviation can be calculated using the formula: Standard deviation = (pessimistic estimate - optimistic estimate) / 6. Therefore, the standard deviation is 0.67.

The standard deviation is a measure of the spread or variability of a set of data. It quantifies the amount of dispersion or deviation from the average or mean. In this case, we are given a pessimistic estimate of 10 days and an optimistic estimate of 6 days. To calculate the standard deviation, we need to find the difference between these two estimates. The difference is 10 - 6 = 4 days.

Since the range between the optimistic and pessimistic estimates is 6 days, we divide the difference by 6 to normalize it. So, 4 / 6 = 0.67.

Therefore, the standard deviation is 0.67. This means that the actual value is likely to deviate from the average estimate by approximately 0.67 days. A smaller standard deviation indicates less variability, while a larger standard deviation indicates more variability.

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Answer: 1/7

Step-by-step explanation:

From the question, we are informed that it takes Deanna seven hours to paint a fence. The fraction of the fence does she paint in one hour will be one divided by seven hours which can mathematically be written as:

= 1/7

This means that she'll paint 1/7 of the fence in 1 hour.

Roger has enough stainless steel pipe to replace the chimney liner, with a slight surplus remaining.

To determine if Roger has enough stainless steel pipe for the chimney liner, we need to convert the given measurements to a consistent unit of measurement. Since the length of the liner required is given in feet, we need to convert the 400 inches of stainless steel pipe to feet.

There are 12 inches in a foot, so 400 inches is equal to 400/12 = 33.33 feet (approximately).

Comparing this converted length of the stainless steel pipe (33.33 feet) with the length of the liner required (33 feet), we can see that Roger does indeed have enough pipe. In fact, he has slightly more than required.

Since the length of the liner required is 33 feet and Roger has 33.33 feet of stainless steel pipe available, there is a surplus of approximately 0.33 feet (about 4 inches) of pipe. This additional length is more than enough to cover any potential measurement errors or adjustments needed during the installation process.

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\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

To determine that point O is the center of the circle passing through points D, E, and F, we can rely on the following property:

The center of a circle is equidistant from all points on the circumference of the circle.

By constructing the perpendicular bisectors of line segments DE and EF and identifying their point of intersection as O, we can establish that O is equidistant from D, E, and F.

Here's the reasoning:

The perpendicular bisector of DE is a line that intersects DE at its midpoint, say M. Since O lies on this perpendicular bisector, OM is equal in length to MD.

Similarly, the perpendicular bisector of EF intersects EF at its midpoint, say N. Thus, ON is equal in length to NE.

Since O lies on both perpendicular bisectors, OM = MD and ON = NE. This implies that O is equidistant from D, E, and F.

Therefore, based on the property that the center of a circle is equidistant from its circumference points, we can conclude that point O is the center of the circle passing through points D, E, and F.

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Answer:the answer should be B :) !

Step-by-step explanation:

Given:

defective units = 29.1

total production = 9,700

Hence:

substituting values in the formula:

ANSWER

0.3 percent of the production is defective.

Answer:

The answer of this question is $68.

The expressions when simplified are -9 - 2i and x = ±8i

From the question, we have the following parameters that can be used in our computation:

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

Step-by-step explanation:its 27

Answer:

d=126 degrees

z=28 units

Answer:

yasghfeiruhiurgwhruihrgrgrgh

Step-by-step explanation:

rhewrgbwjyefjyewhuyfgeurghguhgggggg

Answer:

Let the price of the garden table be x.

The bench would cost x-77 dollars.

x+x-77=777

2x-77=777

2x=854

x=427

The bench costs 350 dollars.

Let me know if this helps!

Answer:

28 units

Step-by-step explanation:

Firstly, we can see that the vertical sides are 9 units each.

To get the diagonal sides, we can turn the ends into right triangles, which we can then use with the Pythagorean Theorum.

To make the top side into a triangle, we would draw a horizontal line connecting points (-1, 3) and (3, 3). This creates a right angle which is essential when using the Pythagorean Theorum.

A^2 + B^2 = C^2

We can plug in values for the Pythagorean Theorum because we can see that going across horizontally from point (-1, 3) to (3, 3), there are 4 units in between the two points. This will be our A value. We will do the same but vertically from points (3, 6) to (3, 3). The 3 units between the two points will be our B value. Now, we can plug in our values into the Pythagorean Theorum to find side C, the hypotenuse.

4^2 + 3^2 = C^2

16 + 9 = C^2

25 = C^2

√25 = C

C = 5

Now that we know the diagonal value of the side, we also know the same diagonal value of the bottom side. When you add all four sides together,

9 + 5 + 9 + 5 = 28

you get 28, which is the perimeter of the parallelogram.

If a test of a hypothesis has a type I error probability (alpha) of 0.01, it means that there is a 1% chance of rejecting the null hypothesis when it is actually true.

When conducting hypothesis testing, we are trying to make an inference about a population based on sample data. There are two types of errors that can occur:

Type I Error: This occurs when we reject the null hypothesis (H0) when it is actually true. In other words, we falsely conclude that there is a significant effect or relationship when there is none in the population. The probability of committing a Type I error is denoted as alpha (α) and is often set before conducting the test.

In this case, if the type I error probability (alpha) is 0.01, it means that we are willing to tolerate a 1% chance of incorrectly rejecting the null hypothesis when it is actually true. We set the significance level at 0.01, which represents the maximum acceptable level of making a Type I error.

Type II Error: This occurs when we fail to reject the null hypothesis (H0) when it is actually false. In other words, we fail to detect a significant effect or relationship when one exists in the population. The probability of committing a Type II error is denoted as beta (β).

It is important to strike a balance between Type I and Type II errors based on the context and consequences of the study. The choice of the significance level (alpha) reflects the trade-off between the risks of making Type I and Type II errors.

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The correct statement is: "If the null hypothesis is true, you reject it 1% of the time."

In hypothesis testing, the Type I error refers to rejecting the null hypothesis when it is actually true. The significance level, often denoted by α (alpha), determines the probability of making a Type I error.

A significance level of 0.01 means that there is a 1% chance of rejecting the null hypothesis when it is true. This signifies that even if the null hypothesis is correct, there is still a small probability (1%) of observing a result that is extreme enough to lead to the rejection of the null hypothesis.

- Type I error: Rejecting the null hypothesis when it is true.

- α (alpha): The probability of making a Type I error.

- Significance level of 0.01: There is a 1% chance of making a Type I error, or rejecting the null hypothesis when it is true.

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If a test of hypothesis has a Type I error probability (alpha) of 0.01. it means that If the null hypothesis is false, you don't reject it 1% of the time. if the null hypothesis is true, you reject it 1% of the time. if the null hypothesis is true, you don't reject it 1% of the time. if the null hypothesis is false, you reject it 1% of the time.

Answer:

m< CDF = 36

Step-by-step explanation:

m< CDE =m< CDF + m< FDE

120 = m< CDF + 84

m< CDF = 120 - 84

m< CDF = 36

I hope I helped you^_^

Answer:

CDF is 36°.

Step-by-step explanation:

Since CDE or the whole measure is 120° and FDE is 84°.

We have to find the value of CDF that combines with FDE and get 120°.

Let CDF = x, FDE = 84° and CDE = 120°. Therefore, the sum of CDF and FDE is the whole measure or CDE.

x+84=120

Subtract both sides.

x+84-84=120-84

x=36.

Answer:

11

Step-by-step explanation:

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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Answer: 1 13/ 20

Step-by-step explanation:

first multiply 2 1/5 and 1 3/4 you will get 3 17/20then subtract from 3 17/20 - 2 1/5 you will get 1 13/20

The extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.

In the question, we are given a graph showing the bird population of a large lake and are asked the reason for the extreme drop between November and December most likely represent.

Birds migrate in order to shift from low-resource regions to high-resource areas or vice versa. The two main items sought after are food and places to build nests.

Thus, the fall in the graph for the number of birds between November and December represents the migration pattern of birds, in search of new resources.

Hence, the extreme drop in the graph for the number of birds between November and December MOST likely represents a reflection of the migratory nature of the birds at the lake, making option B the right choice.

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Answer: A reflection of the migratory nature of the birds at the lake.

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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Answers:

The total profit expression is a binomial.

The total profit expression is a polynomial.

The total profit expression has a constant term.

The total profit expression is a polynomial

The total profit expression is a binomial

The total profit expression has a constant term

The first step to determining which type of function it is, is to add the profits in both theatres together

(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400

A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomials include :

1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.

An example is x + 2

The variable x is raised to the power of 1. 2 is the constant terms

2.  Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.

An example is 2x² + 10x + 25

3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.

An example is 5y³ + y²

4. Binominal function: this  is a function that contains only two terms.

An example is   t³ - 400

t³ - 400

The above equation of the total profit has a constant term which is -400

The above equation is a polynomial. This is because it has different types of variables.

The above equation is a binomial equation because it has only two terms  t³ and 400

In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.

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