MATH HELP PLEASE!!

6. Solve

3X+10 is greater than or equal to 4

Answer:46x

Step-by-step explanation:

hyhh

Answer:6

Step-by-step explanation:6666666666666666666

The dimension of the rectangle that has the maximum area is 7.5 by 7.5 feet.

Let the length of the rectangular field be x and the width be y

Now the perimeter is 30

Therefore 2(x + y)=30

or, x + y = 15

or, y = 15 - x

Area of the rectangle = xy

Now we substitute the value of y

area = x ( 15 - x ) = 15x - x²

Now for the maximum area we have to differentiate the area function.

f(x) = 15x - x²

f'(x) = 15-2x

Now the differentiated function is equated to 0 to get the value of x for which the area is  maximum.

15-2x = 0

or, x =7.5

therefore y -= 15 - x = 1 5 - 7.5 = 7.5 feet.

Hence for the area to be maximum the dimension of the field should be 7.5feet by 7.5 feet .

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The value of x as shown in the straight line is 32

An equation is an expression showing the relationship between numbers and variables.

An angle is formed when two lines intersect at a point. The sum of angles in a straight line is 180 degrees.

From the diagram:

(3x - 4) + (3x - 8) = 180° (sum of angle in a straight line)

3x + 3x - 4 - 8 = 180

6x - 12 = 180

6x = 192

x = 32

The value of x is 32

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The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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The ordered pair (2,3) is not a solution of the system

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

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

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The inverse of α=(123)(456) is α^−1 = (456)(123). Option (B) is the correct answer.

The question requires finding the inverse of the given permutation α=(123)(456). To get the inverse of any permutation, the order of the cycles should be reversed, and the order of elements in each cycle should be reversed. Following this rule, the inverse of α is found to be α^−1 = (456)(123). Therefore, option (B) is the correct answer. In other words, if we apply α and then α^−1 to any set, we get back the original set. The inverse permutation of a permutation has useful applications in algebra and cryptography, among other fields.

Therefore, the inverse of α=(123)(456) is α^−1 = (456)(123). Thus, option (B) is the correct answer.

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The correct statement for the function will be Weight is input, height is output.

The function is a relationship between inputs, and all the inputs have an output.

Given that, The weights and heights of six mathematics students are given and the statement, "Height is a function of weight,"

Mathematically, we can write,

f(w) = h, where w = weight and h = height.

We can conclude that, the value of Height is depended on the value of Weight.

Therefore, Weight is input variable and Height is output variable.

Hence, option C is the correct answer.

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The height of the new prism so that its surface area is doubled will be 26.31 cm.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

A right rectangular prism measures 12 cm tall, 3 cm long, and 10 cm wide. A manufacturer would like to double the surface area of this prism.

Then the height of the new prism so that its surface area is doubled will be given as,

2 x 2 x (12 x 3 + 3 x 10 + 10 x 12) = 2(3h + 3 x 10 + 10h)

2(36 + 30 + 120) = 13h + 30

372 = 13h + 30

13h = 342

h = 26.31 cm

The height of the new prism so that its surface area is doubled will be 26.31 cm.

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Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

To find the parametric equations for the path of a particle moving along a circle with 0 ≤ t ≤ π, we'll start by considering the equation of a circle with radius r centered at (h, k):
(x-h)² + (y-k)² = r²
Now, to create parametric equations, we'll express x and y in terms of a parameter, t. In this case, t represents the angle (in radians) that the particle has traveled along the circle.
We can use the trigonometric functions sine and cosine to do this. For a circle with radius r centered at (h, k), the parametric equations will be:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)
Since we're given a range for t (0 ≤ t ≤ π), this means that the particle moves along a semicircle, starting at the initial point (h+r, k) when t=0 and ending at the point (h-r, k) when t=π.
To summarize, the parametric equations for a particle moving along a circle with radius r and center (h, k) for 0 ≤ t ≤ π are:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)

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In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.

The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.

12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.

13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.

14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.

15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.

In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.

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Answer:

.....

..................

Answer:

c. 43

Step-by-step explanation:

i hope this helps :)

Answer:

See the attached

Step-by-step explanation:

I left last bits to you as it is about checking your understanding

h'(1) is equal to -2V54.

To find h'(1), we need to differentiate the function h(x) with respect to x and evaluate it at x = 1.

Given:

h(x) = V54f(x)

f(1) = -5

f'(1) = -2

First, let's find the derivative of h(x) using the chain rule:

h'(x) = d/dx [V54f(x)] = V54 * d/dx [f(x)]

Now, we substitute x = 1 into the expression to evaluate h'(1):

h'(1) = V54 * d/dx [f(x)] | x=1

Since we know f(1) = -5 and f'(1) = -2, we can substitute these values:

h'(1) = V54 * d/dx [f(x)] | x=1

      = V54 * f'(1)

      = V54 * (-2)

      = -2V54

Therefore, h'(1) is equal to -2V54.

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Capacity of larger bottle = 48 units

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

small bottle holds 36 units of water

Let the large bottle holds x units of water

According to the question,

capacity of small bottle = 75% of capacity of large bottle

36 = 75/100 × x

⇒ x = 36 × 100 / 75

⇒ x = 3600/75

⇒ x = 48 units

Hence the larger bottle holds 48 units of water.

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The number of child tickets sold on Saturday is 5.

We know that at the city museum, the child admission is $5.20 and adult admission is $9.10. We also know that on Saturday 162 tickets were sold for a total sales of $1491.60.

We can use this information to find the number of child tickets sold on Saturday. We can set up an equation with the total sales and the price of the tickets.

Let x be the number of child tickets sold.

x(5.2) + (162-x)(9.10) = 1491.60

The equation represents the total sales by the number of child tickets sold multiplied by the price of child admission, and the number of adult tickets sold multiplied by the price of adult admission.

We can solve for x by isolating it and substituting the given values:

x(5.2) + (162-x)(9.10) = 1491.60

x*5.2 + (162-x)*9.10 = 1491.60

5.2x + 1472.20 - 9.10x = 1491.60

-3.9x = -19.40

x = 19.40/-3.9

x = 5

So, the number of child tickets sold on Saturday is 5.

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The values of x are 1,2,3,4,5 and the values of y are 13,14,15,16,17 for the equation y=x+12.

Given an equation be y=x+12.

We are required to find the values of x and y for the given equations.

Equation is basically a relationship between two or more variables that are expressed in equal to form. It can be linear equation, quadratic equation and cubic equation. The values of x is known as part of domain and the values of y is known as part of range.

Equation:y=x+12

Put x=1,y=1+12=13.

Put x=2,y=2+12=14.

Put x=3,y=3+12=15.

Put x=4,y=4+12=16.

Put x=5,y=5+12=17.

Hence the values of x are 1,2,3,4,5 and the values of y are 13,14,15,16,17 for the equation y=x+12.

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From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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Answer:

8^28   miles

Step-by-step explanation:

m/hr  *   hr   = miles

8^9   *   8^19   = 8^(9+19)  =  8^28 miles

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

x = 3

Step-by-step explanation:

\((8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3\)

Answer:

A on edge 23

Step-by-step explanation:

because math

Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

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

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

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

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

scss

Copy code

x  |  CDF(X<=x)

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

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

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