m < B = 32°, m < C = 38° and a = 22. Find the length of b

The shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes is a composite figure with two triangles and rectangles

Given data ,

Let the shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes be A and B

Now , on dividing the solid , we get

Two triangles on the opposite sides of the figure

And , rectangles on each adjacent sides of the figure

Hence , the congruent shape has 2 rectangles and 2 triangles

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y= x+1/x-8  has a diagonal asymptote. Therefore, the correct option is option A among all the given options.

A line that, in analytical geometry, is an asymptote either a curve is one where, when either or both of the x and y coordinates go to infinity, the distance among the curve as well as the line approaches zero. An asymptote on a curve appears a line that is tangential with the curve at an angle at infinity in projection geometry and similar contexts. y= x+1/x-8 has a diagonal asymptote.

Therefore, the correct option is option A.

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The region that satisfy the requirements in this situation is added as an attachment

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

Type A

5 pounds of oats and 7 pounds of corn per bag.

Type B

6 pounds of oats and 4 pounds of corn per bag

This means that

Oats = 5x + 6y

Corn = 7x + 4y

Using the resulting mixtures, we have

5x + 6y ≥ 150

7x + 4y ≥ 140

For the bags available, we have

0 ≤ x ≤ 20 and 0 ≤ y ≤ 25

See attachment

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Answer:

By copying the given statements from the original problem

No. D

I hope it helped you.

Please Mark me the brainliest

Answer:

Hey, when writing a proof, the first statement should be based on the given information or assumptions, and it should be written in the left column of the proof. To get started, it's best to look at the "given" statements from the original problem and use those as your starting point. This first statement sets the foundation for the logical progression of the proof.

It's important to remember that each subsequent statement should be logically connected to the previous ones, and should lead towards the final statement or conclusion that you're trying to prove. To make your proof convincing, you should also include a justification for each statement that you make, which goes in the right column of the proof.

Overall, constructing a proof can take some time and effort, but by following a clear and logical progression, you can create a solid and convincing argument for your claim.

Step-by-step explanation:

Answer: its the first one

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Volume = 27.2

⅓ × base area × height = 27. 2

Base area × height = 81.6

Base area = ½ bh = 1/2 × 3.2 × 8.5 = 13.6

13.6 × height = 81.6

Height = 81.6 ÷ 13.6 = 6 inches

The difference quotient for the function f(x)=-3x²+6x-6 is -3h+6.

Now, let's move on to finding the difference quotient for the function f(x)=-3x²+6x-6. The difference quotient is a formula used to find the average rate of change of a function between two points.

The formula for the difference quotient is:

f(x+h) - f(x)

So, to find the difference quotient for the function f(x)=-3x²+6x-6, we first need to find f(x+h) and f(x):

f(x+h) = -3(x+h)² + 6(x+h) - 6

= -3(x² + 2xh + h²) + 6x + 6h - 6

= -3x² - 6xh - 3h² + 6x + 6h - 6

f(x) = -3x² + 6x - 6

Now we can plug these values into the difference quotient formula:

f(x+h) - f(x)

= [-3x² - 6xh - 3h² + 6x + 6h - 6] - [-3x² + 6x - 6]

= [-3x² - 6xh - 3h² + 6x + 6h - 6 + 3x² - 6x + 6] / h

= [-3h² + 6h] / h

= -3h + 6

This tells us the average rate of change of the function between x and x+h is -3h+6.

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We start with the given, 10 g and we want to change grams to number of tablets. First, we convert 10 g to mg and then convert mg to tablets.  We need a  conversion factor for each step.

10* 1000/ 500

The answer will be 20 tablets.

Human drug dosages can be determined using weight (e.g., mg/kg) or surface area (e.g., mg/m2) based on weight when compared to doses used in animal studies. 2/3.

The most frequent substances for which doses are assessed are chemicals, although there are others, such radiation exposure. The majority of micronutrient and pharmaceutical doses for people are expressed in milligrams (mg), while some are expressed in micrograms due to their strength.

Non-medicinal poisons range in potency; some are so lethal that just one microgram of them is required to cause death, while others require much more. For instance, when consumed in sufficient amounts, even water becomes hazardous.

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complete question:

vitamin c tablets can come in 500 mg tablets. how many of these tablets are needed to obtain 10 g of vitamin c?

Answer:

2464

Step-by-step explanation:

Parallelogram Area Formula: A=bh

Length is the same as base or b.

H is height

B =88 H=28

A=88•28=2464 m^

The correct statement is,

D) The median is less than the mean.

E) The mode and the mean are equal.

Given that;

Data set is,

⇒ {60, 5, 18, 20, 37, 37, 11, 90, 72}

Hence, We can formulate;

Mean = {60 + 5 + 18 + 20 + 37 + 37 + 11 + 90 + 72} / 9

Mean = 38.89

Arrange data set into ascending order,

⇒ 5, 11, 18, 20, 37, 37, 60, 72, 90

Hence,

Median = (9 + 1)/2

            = 5th term

            = 37

Mode = 37

Thus, The correct statement is,

D) The median is less than the mean.

E) The mode and the mean are equal.

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The keyword that best describes the OF SERVICE is a. None of the above

A keyword is a term in information retrieval that captures the essence of a document's topic. Index terms make form a regulated vocabulary for usage in bibliographic data.

None of the preceding keywords correctly describe the term "of service" as it is a preposition used to denote the sort or character of a particular service being delivered. It does not refer to any statistical or mathematical concept.

The right answer is A based on the information.. It is not a statistical or mathematical term.

Based on the information, the correct option is A.

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Answer:

[tex]\displaystyle{f(x)=3^x-5}[/tex]

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

[tex]\displaystyle{f(x)=3^x-5}[/tex]

or A choice.

Answer:

if you are asking for an angle it's either 180° or 0°

Answer:

your answer is D. 1,0 & -3,0

Step-by-step explanation:

have a nice day.

area of a square =

[tex]l {}^{2} \\ = l \times l \\ = 3cm \times 3cm \\ = 9cm {}^{2} \\ [/tex]

hope it helps

The equation y = -x - 2 and y = 2x + 13 has the coordinate a solution (-5, 3).

From the given coordinate plane, the solution is (-5, 3).

A linear equation is in the form: y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

When (x, y)=(-5, 3)

The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2

Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 13

Therefore, the equation y = -x - 2 and y = 2x + 13 has the coordinate a solution (-5, 3).

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The value of the t-statistic is -0.51.

To identify the test statistic, we need to conduct a paired samples t-test using the data provided for the words spoken by males and females in eight different randomly selected couples.

The following formula can be used to get the test statistic:

Calculate the difference between the number of words spoken by the male and female members of each couple.

Male - Female:

-9,455, 13,823, -17,149, -8,778, 5,695, -2,454, -1,883, 8,206

Calculate the mean difference:

(Sum of differences) / (Number of differences) = (-9,455 + 13,823 - 17,149 - 8,778 + 5,695 - 2,454 - 1,883 + 8,206) / 8 = -1,995.5

Calculate the standard deviation of the differences:

s = sqrt((Σ(Male - Female - Mean)²) / (n - 1))

where Σ represents the sum from i = 1 to n, n is the number of differences (in this case, n = 8)

s = sqrt(((15102-24557-(-1995.5))² + (26839-13016-(-1995.5))² + ... + (26644-18438-(-1995.5))²) / (8-1))

s ≈ 11105.82

Determine the mean difference's standard error:

s/√n = 11105.82/√8 ≈ 3927.94

Calculate the t-statistic:

t = (Mean difference - Null hypothesis value) / (Mean difference standard error)

We do not have a null hypothesis value, but since we are testing if there is a significant difference between the mean number of words spoken by males and females, we can assume a null hypothesis value of 0.

t = -1995.5 / 3927.94 ≈ -0.508

Therefore, the test statistic is t = -0.51 (rounded to two decimal places).

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The functions f and g are inverses of each other in the first pair but not in the second pair

For the first pair, we have

f(x) = -3/x

g(x) = -3/x

So, we have

f(g(x)) = -3/(-3/x)

Evaluate

f(g(x)) = x

Similarly;

g(f(x)) = x

This means that

f(g(x)) = g(f(x)) = x

So, the functions f(x) and g(x) are inverses of each other

For the second pair, we have

f(x) = x + 4

g(x) = -x + 4

So, we have

f(g(x)) = -x + 4 + 4

f(g(x)) = -x + 8

This means that

The functions f(x) and g(x) are not inverses of each other

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Answer:

40 cm²

Step-by-step explanation:

The surface area of a square-based pyramid is made up of:

The area of a square is the square of its side length.

Given the side length of the square base is 4 cm, the area of the base is:

[tex]\begin{aligned}\implies \sf Area\;of\;square\;base&=4^2\\&=4 \cdot 4\\&=16\;\sf cm^2\end{aligned}[/tex]

The area of a triangle is half the product of its base and height.

Given the base of the triangular side is 4 cm and its height is 3 cm, the area of one triangular side is:

[tex]\begin{aligned}\implies \sf Area\;of\;one\;triangular\;side&=\dfrac{1}{2}\cdot 4 \cdot 3\\&=2 \cdot 3\\&=6\;\sf cm^2\end{aligned}[/tex]

Therefore, the total surface area of the square pyramid is:

[tex]\begin{aligned}\implies \sf Total\;surface\;area&=\sf square\;base+ 4\; triangular\;sides\\&=\sf 16\;cm^2+4 \cdot 6\; cm^2\\&=\sf 16\; cm^2+24\;cm^2\\&=\sf 40\;\sf cm^2\end{aligned}[/tex]

The sample mean to deviate from the population mean by approximately 0.394 points.

According to the central limit theorem, the standard deviation of the sample mean can be calculated by dividing the population standard deviation (in this case, 6.1) by the square root of the sample size (in this case, 240). This means that the standard deviation of the sample mean for this high school would be:

standard deviation of sample mean = population standard deviation / square root of sample size

= 6.1 / √(240)

≈ 0.394

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Answer: A

Step-by-step explanation:

Well when we use a calculator to determine the square root of 158 we get= 12.56980509.

And so option A woud be closest, smallest difference between all.

Answer: A

Step-by-step explanation: Square root of 158 simplified is 12.5698

The mean and median of the given data is 84 and 84, in order to have 85% as average, Alyssa should score 89 marks and we cannot say anything about how the median is affected.

Part A: Finding the mean of the data,

Mean = (74 + 86 + 94 + 82) / 4 = 336 / 4 = 84

Therefore, the mean score is 84. To find the median, we first need to put the scores in order from smallest to largest, 74, 82, 86, 94. Since we have an even number of scores, the median is the average of the two middle scores. In this case, the two middle scores are 82 and 86, so we take their average,

Median = (82 + 86) / 2 = 168 / 2 = 84

Therefore, the median score is 84.

Part B: Let x be the score Alyssa needs to earn on her fifth test. To find the score she needs to maintain an 85% average, we can set up the following equation,

(74 + 86 + 94 + 82 + x) / 5 = 85

Multiplying both sides by 5, we get,

74 + 86 + 94 + 82 + x = 425

Adding up the first four scores, we get,

74 + 86 + 94 + 82 = 336

Substituting in equation,

336 + x = 425

Subtracting 336 from both sides, we get,

x = 89

Therefore, Alyssa needs to earn at least an 89 on her fifth test to maintain an 85% average.

Part C: The median is the middle score when the data is arranged in order. Since the fifth test score has not yet been added, the median is still 84. So, we cannot really say anything about the median.

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Answer:

Step-by-step explanation:

Reflecting a point across the x-axis results in changing the sign of the y-coordinate, but keeping the x-coordinate the same. Reflecting a point across the y-axis results in changing the sign of the x-coordinate, but keeping the y-coordinate the same.

Reflecting (5,2) across the x-axis gives (5,-2), and reflecting it across the y-axis gives (-5,2).

Reflecting (-6,12) across the x-axis gives (-6,-12), and reflecting it across the y-axis gives (6,12).

Reflecting (2,-7) across the x-axis gives (2,7), and reflecting it across the y-axis gives (-2,-7).

Reflecting (-4,-2) across the x-axis gives (-4,2), and reflecting it across the y-axis gives (4,-2).

Reflecting (0,-2) across the x-axis gives (0,2), and reflecting it across the y-axis gives (0,-2).

The sentence that correctly uses commas to separate coordinate adjectives is D. Shannon signed up for the challenging, writing course at the local, community college.

Words that describe or provide details about a noun are called adjectives. Two or more adjectives are referred to as coordinate adjectives when they are used to describe the same noun. 'And' or a comma are used to separate them every time.  These must be properly used, else a reader can mistake adjectives for a single modifier rather than a pair of coordinates.

The comma should be placed between any two or more adjectives that equally modify the same noun, and their order doesn't have to change the meaning, according to the guideline for using commas to separate coordinate adjectives in sentences. Option D includes the coordinate adjectives "challenging" and "writing" that equally modify the noun "course," as well as the coordinating adjectives "local" and "community" that equally modify the noun "college."

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Answer:

the equilibrium output (Y) is (gA-b(10))Mo + 2520/25 = 1076 and the equilibrium interest rate (i) is -176.

Step-by-step explanation:

(a) Writing the IS-LM system in matrix form:

IS equation: Y = 1 - b(10) + gA

LM equation: Y = (Mo/k) - (/k)i

We can rewrite the equations in matrix form as:

| 1 - b(10) -gA | | Y | | 0 |

| 1/k /k | | i | = | Mo/k |

(b) Solving for Y and i by matrix inversion:

| Y | | (1/k) (gA-b(10))/k | | 0 |

| i | = | (1/k) (-1/k) | | Mo/k |

Multiplying the inverse matrix by the right-hand side:

| Y | | (1/k) (gA-b(10))/k | | 0 | | (gA-b(10))Mo/k |

| i | = | (1/k) (-1/k) | | Mo/k | = | -Mo/k |

Solving for Y and i:

Y = (gA-b(10))Mo + 2520

25

i = -176

Therefore, the equilibrium output (Y) is (gA-b(10))Mo + 2520/25 = 1076 and the equilibrium interest rate (i) is -176.

Answer:

1. true

2. false

3. true or false

Answer:

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

The values of the matrices operations are [tex]4G + 2F = \left[\begin{array}{ccccc}34&-4&-42&-18&48\\-42&-8&16&30&8\\24&32&4&34&34&-12&-32&-12&-42&-20\end{array}\right][/tex] and [tex]4D - 3B= \left[\begin{array}{ccccc}31&6&34&-14&-57\\-19&-27&-18&18&27\\47&14&-1&-40&9&10&12&-19&-15&-58&-14&-23&10&-8&10\end{array}\right][/tex]

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

[tex]G = \left[\begin{array}{ccccc}8&-5&-7&-1&10\\-6&-7&1&9&2\\4&6&3&7&5&-4&-3&0&-10&-9\end{array}\right][/tex]

Also, we have

[tex]F = \left[\begin{array}{ccccc}1&8&-2&-5&9\\-9&10&6&-3&0\\4&5&-4&3&7&2&-10&-6&-1&-8\end{array}\right][/tex]

Using the above as a guide, we have

[tex]4G + 2F = 4\left[\begin{array}{ccccc}8&-5&-7&-1&10\\-6&-7&1&9&2\\4&6&3&7&5&-4&-3&0&-10&-9\end{array}\right] + 2 \left[\begin{array}{ccccc}1&8&-2&-5&9\\-9&10&6&-3&0\\4&5&-4&3&7&2&-10&-6&-1&-8\end{array}\right][/tex]

Evaluate the sum

[tex]4G + 2F = \left[\begin{array}{ccccc}34&-4&-42&-18&48\\-42&-8&16&30&8\\24&32&4&34&34&-12&-32&-12&-42&-20\end{array}\right][/tex]

Next, we have

[tex]D = \left[\begin{array}{ccccc}7&-6&3&-8&-9\\2&-9&-6&6&9\\8&2&5&-10&-3&10&-3&-4&3&-7&1&-2&4&-5&-2\end{array}\right][/tex]

Also, we have

[tex]B = \left[\begin{array}{ccccc}-1&-10&-8&-6&7\\9&-3&-2&2&3\\-5&-2&7&0&-7&10&-8&1&9&10&6&5&2&-4&-9\end{array}\right][/tex]

The matrix expression is then represented as

[tex]4D - 3B= 4\left[\begin{array}{ccccc}7&-6&3&-8&-9\\2&-9&-6&6&9\\8&2&5&-10&-3&10&-3&-4&3&-7&1&-2&4&-5&-2\end{array}\right] - 3\left[\begin{array}{ccccc}-1&-10&-8&-6&7\\9&-3&-2&2&3\\-5&-2&7&0&-7&10&-8&1&9&10&6&5&2&-4&-9\end{array}\right][/tex]

Evaluate

[tex]4D - 3B= \left[\begin{array}{ccccc}31&6&34&-14&-57\\-19&-27&-18&18&27\\47&14&-1&-40&9&10&12&-19&-15&-58&-14&-23&10&-8&10\end{array}\right][/tex]

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