help meee will give brainly! Find the domain of the function f(x)=5x−9 .
DONT SAY I DONT KNOW

1720 gallons of rainwater are needed to fill the container to the top.

What does have capacity mean?

The ability to use and comprehend data to make decisions and convey those decisions is referred to as capacity.

If the container is 30% filled with rainwater, then it is 70% empty. Let's first calculate the capacity of the container when it is 100% full:

Capacity of container = (100 / 30) * 1290 = 4300 gallons

So, the container has a capacity of 4300 gallons when it is 100% full.

Since the container already has 30% of its capacity filled with rainwater, we need to add enough rainwater to fill the remaining 70% of the capacity. The amount of rainwater needed to fill the container to the top is:

Amount of rainwater needed = 70% of 4300 - 30% of 4300

= 0.7 * 4300 - 0.3 * 4300

= 3010 - 1290

= 1720 gallons

Therefore, 1720 gallons of rainwater are needed to fill the container to the top.

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y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)

Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.

The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).

thus , y' =  \(\frac{e^{x}-xe^{x} }{x^{2} }\)

y'(1) = 0 = m

Our slope is indicated by the horizontal line.

y−\(y_{1}\)=m(x−\(x_{1}\))

Our line will simply be our y-coordinate because our slope(m) is 0:

e

Therefore:

The tangent line's equation is y=e.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

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Once you have the required numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup

We need to determine the minimum sample size required for Big Corporation to estimate the mean amount of coffee dispensed per cup with a certain level of confidence and margin of error.

Unfortunately, some of the numerical values are missing in question.

Step 1: Determine the desired confidence level (e.g., 90%, 95%, 99%).
Step 2: Identify the desired margin of error (e.g., within 0.1 ounces).
Step 3: Given the standard deviation of cup amounts (missing in the question, let's assume it as "σ").

Now, use the formula for determining the minimum sample size needed:

n = (Z² * σ²) / E²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level (e.g., 1.96 for 95% confidence)
σ = standard deviation of cup amounts
E = margin of error

Step 4: Calculate the minimum sample size (n) using the formula and round up to the nearest whole number.

By numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup.

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Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The proportion denoted p is given by the formula p = x/n, where x is the number of individuals with a specified characteristic in a sample of n individuals.

In statistics, the proportion (p) represents the fraction or percentage of individuals in a sample who possess a specific characteristic. It is calculated by dividing the number of individuals (x) with the characteristic by the total number of individuals in the sample (n). The formula for calculating the proportion is p = x/n. This formula provides a measure of the relative frequency of the characteristic within the sample.

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The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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Hello!

6x² + 13x + 6

= (6x² + 9x) + (4x + 6)

= 3x(2x + 3) + 2(2x + 3)

= (3x + 2)(2x + 3)

Answer:

477 rounder to nearest 100 is 500

Hope this Helps.

Good Luck

Rounding 477 to the nearest hundred gives us 500.

Given that a number we need to round it into nearest hundred,

To round 477 to the nearest hundred, we look at the tens digit (7) and determine whether it is closer to 0 or 10.

Since 7 is closer to 10 than 0, we round up.

To round up to the nearest hundred, we increase the hundreds digit by 1 and set the tens and units digits to 0.

In this case, the hundreds digit is 4, so we add 1 to it, resulting in 5.

The tens and units digits become 0.

If the tens digit is less than 5 (0, 1, 2, 3, or 4), we round down to the previous hundred. If the tens digit is 5 or greater (5, 6, 7, 8, or 9), we round up to the next hundred.

In this case, since the tens digit is 7, which is greater than 5, we round up. So, 477 rounded to the nearest hundred is 500.

Therefore, rounding 477 to the nearest hundred gives us 500.

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The work done in hauling the bucket to the top of the well is 16ft/lb.

Using Riemann sum to calculate the area underneath a graph or curve.

At a rate of 0.15 lb/s, water escapes from a hole in the bucket. Convert this rate to inches per foot.

Q = 0.15 ÷ 1.5

Q = 0.01

As an outcome, water escapes at a rate of 0.01 lb/ft via a hole in the bucket.

Let x be the height in feet above the well's bottom. Thus, the total amount of water that leaks out of the hole is 0.01x The bucket is originally filled with 44 lb of water, and then 0.01x water seeps out. As a result, the water left in the bucket is,

44 - 0.01x

The bucket weighs 5 pounds. As a result, the total weight of the bucket when it reaches the top of the well is,

(44 - 0.01x) + 5

Because the well is 60 feet deep. As a result, the integration should be limited to a range of 0 to 60 feet. Take the above x function and solve it using the Riemann sum method.

W = \(\int\limits^{60}_{0} {44 - 0.01x + 5} \, dx\)

W = | 0 - 0.01 (x² ÷ 2) + 0|\({{}_{0}^{60}}\)

W = 0.005(60)² - 0

W = 16 ft/lb

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The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

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it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;

x⁴ divided by 3x equals 2x³

3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³

subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27

3x³ divided by 3x equals x²

3x + 4 multiplied by x² equals 3x³ + 4x²

subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27

9x² divided by 3x equals 3x

3x + 4 multiplied by 3x equals 9x² + 12x

subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27

-15x divided by 3x equals -5

3x + 4 multiplied by -5 equals -15x - 20

subtract -15x - 20 from -15x + 27 will result to a remainder of 47

using the remainder theorem, x = -4/3 from the the divisor 3x + 4

thus:

f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}

f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27

f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}

f(-4/3) = (5919 - 2112)/81

f(-4/3) = 3807/81

f(-4/3) = 47

Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.

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Answer: 2.1925153x10 to the 3rd

Step-by-step explanation: hope it helps

Answer:

I think the slope would be 2.

Step-by-step explanation:

The limit of the fraction as x approaches 3 is 4.

We can use algebraic manipulation to simplify the fraction.

StartFraction x squared minus 12 Over x squared minus 3 x EndFraction

= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared

= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction

Now we can plug in x = 3 to get the limit:

= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction

= StartFraction 81 - 36 Over 27 - 9 EndFraction

= StartFraction 45 Over 18 EndFraction

= 4

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Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

Answer:

3

Step-by-step explanation:

Answer:transversive property

Step-by-step explanation:

If X has the hypergeometric distribution, the minimum value that X can take is option (e) 0

The hypergeometric distribution models the probability of getting a certain number of successes in a fixed-size sample drawn without replacement from a finite population containing a known number of successes and failures.

The minimum value that X can take depends on the specific parameters of the distribution.

If the population size is N, the number of successes in the population is K, and the sample size is n, then the minimum value that X can take is max(0, n - (N - K)).

This is because the sample can contain at most n items, and if all of them are failures (i.e., none of them are successes), then X would be 0. On the other hand, if there are fewer than n failures in the population, then the sample can contain at most n - (N - K) successes. If n - (N - K) is negative, then there are more successes than failures in the population, and X can take any value between 0 and n, inclusive.

Therefore, the correct option is (e) 0

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The simplified trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x) = 3csc(x) - 4sin(x).

The trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x).

The equivalent expression for the sine of 3x is given as follows:

sin(3x) = 3sin(x) - 4 sin³(x).

Then the expression can be written as follows:

(3sin(x) - 4 sin³(x))/sin²(x)

The subtraction is in the numerator, hence the expression can be simplified as follows:

3sin(x)/sin²(x) - 4sin³(x)/sin²(x)

3/sin(x) - 4sin(x)

One divided by the sine is equivalent to the cossecant, hence:

3/sin(x) - 4sin(x) = 3csc(x) - 4sin(x).

Meaning that the first option among those given on the image at the end of the answer is correct.

The problem is given by the image shown at the end of the answer.

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Answer:

Answer is A

Step-by-step explanation:

Hope it helps

We get a straight line that represents the graph of the equation y = x - 3 in a rectangular coordinate system 3 y= x-3.

To sketch the graph of the equation y = x - 3, we can start by creating a table of values and then plotting the points on a rectangular coordinate system.

Let's choose some x-values and calculate the corresponding y-values:

When x = -2:

y = (-2) - 3 = -5

So, we have the point (-2, -5).

When x = 0:

y = (0) - 3 = -3

So, we have the point (0, -3).

When x = 2:

y = (2) - 3 = -1

So, we have the point (2, -1).

Now, we can plot these points on a graph:

diff

Copy code

       |

    6  |

       |

    4  |

       |

    2  |

       |

    0  |

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

 -2  |  2  |  6

       |

Connecting the plotted points, we get a straight line that represents the graph of the equation y = x - 3.

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Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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Answer:

1

Step-by-step explanation:

-5 to 8. 13

-6 to 7. 13

13/13=1

The critical value for a right-tailed t-test with a significance level (α) of 0.025 and a sample size (n) of 11 is approximately 2.718.

The critical value is a threshold used to determine whether a test statistic is statistically significant. In a t-test, it helps determine if the sample mean is significantly different from a hypothesized population mean. The critical value for a specific significance level and test type can be found using statistical tables or calculators.

For a right-tailed t-test, we are interested in determining if the sample mean is significantly larger than the hypothesized population mean. In this case, the significance level (α) is set to 0.025, indicating a 2.5% chance of observing a sample mean as extreme or more extreme than what is obtained, assuming the null hypothesis is true. With a sample size (n) of 11, the degrees of freedom for this test would be n - 1 = 10.

Looking up the critical value for a right-tailed t-test with 10 degrees of freedom and a significance level of 0.025, we find that the value is approximately 2.718. This means that if the calculated test statistic (t-value) is greater than 2.718, we would reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant result.

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Check the picture below.

let's firstly convert the mixed fractions to improper fractions and then subtract.

\(\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}\)