The measure of an angle is 173°. What is the measure of its supplementary angle?

The probability of the occurrence of  event E or F using the given probability is equal to P(E∪F) = 0.69.

As given in the question ,

Probability of event E 'P(E)' = 0.49

probability of event F 'P(F)' = 0.33

Probability of Intersection of E and F events ' P(E∩F)' = 0.13

Probability of E or F 'P(E∪F)'

= P(E) + P(F) - P(E∩F)

Substitute the value of P(E), P(F) and P(E∩F) in the formula to get the required probability we have,

= 0.49 + 0.33 - 0.13

= 0.69

Therefore, the probability of the occurrence of event E or F is given by P(E∪F) = 0.69.

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Answer: 1/4 and thats 25%

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The concentration of bacteria in the river water sample is 4.00 cells/100 mL.

The concentration of bacteria in the river water sample can be calculated as follows:Concentration (cells/100 mL) = (Number of colonies/Volume of filter plated) × Dilution factorThe dilution factor is calculated by taking the volume plated (3 mL) and dividing it by the volume filtered (e.g., 100 mL). This will give us the factor by which we must multiply the number of colonies to obtain the concentration of bacteria in the original sample.Assuming that you used a 1:10 dilution of the filtered sample, the calculation would be as follows:Volume of water filtered = 100 mLVolume of sample plated = 3 mLDilution factor = 3 mL/100 mL = 1/33Plate count = 12 coloniesConcentration (cells/100 mL) = (12 colonies/3 mL) × (1/33) = 0.1212 × 33 = 4.00 cells/100 mLTherefore, the concentration of bacteria in the river water sample is 4.00 cells/100 mL.

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Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

Answer:

The answer is that these equations are perpendicular

Step-by-step explanation:

They have the different slopes and y-intercepts

y = -2/7x + 4

y = 7/2x - 2

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The given lines 2x + 7y = 28 and  7x - 2y = 4 are perpendicular to each other.

Used the concept of slope of two lines that states that,

The relation between the slope of two perpendicular lines m₁ and m₂ is,

\(m_1 \times m_2 = - 1\)

And, the relation between the slope of two parallel lines m₁ and m₂ is,

\(m_1= m_2\)

Given that,

The equation of lines is,

2x + 7y = 28

And, 7x - 2y = 4

Now change the equation of a line in slope-intercept form as

\(2x + 7y = 28\)

\(7y = 28 - 2y\)

Divide both sides by 7,

\(y = \dfrac{- 2}{7}x + 4\)

So, the slope of the line = - 2/7

From the second equation,

\(7x - 2y = 4\)

\(7x - 4 = 2y\)

\(2y = 7x - 4\)

Divide both sides by 2,

\(y = \dfrac{7}{2}x - 2\)

So, the slope of the line = 7/2

Hence, the relation between both of the slopes is,

\(\dfrac{- 2}{7} \times \dfrac{7}{2} = - 1\)

Therefore, both of the given lines are perpendicular.

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The equation \(y = -10x + 4\) describes a linear relationship between x and y, with a y-intercept of 4 and a negative slope of -10.

The equation \(y = -10x + 4\) represents a linear function in slope-intercept form, where the coefficient of x is -10 and the y-intercept is 4.

The y-intercept is the value of y when x is 0, which in this case is 4.

It means that the graph of this equation will intersect the y-axis at the point (0, 4).

The slope of -10 indicates that for every unit increase in x, y will decrease by 10 units.

This negative slope means that the line will slope downwards from left to right on a coordinate plane.

By analyzing the equation, we can determine that the line is relatively steep due to the magnitude of the slope.

It indicates a rapid change in y with respect to x.

The equation \(y = -10x + 4\) describes a linear relationship between x and y, with a y-intercept of 4 and a negative slope of -10.

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In this question, we were given five relations and asked to determine if they are reflexive, symmetric, and/or transitive.

(a) The relation Ri on R is reflexive, symmetric, and transitive.

(b) The relation R on A is not reflexive, not symmetric, and transitive.

(c) The relation Rs on Z is not reflexive, not symmetric, and transitive.

(d) The relation R, on Z is not reflexive, not symmetric, and not transitive.

(e) The relation Rs on Z is reflexive, not symmetric, and transitive.

A reflexive connection is a relationship between items of a set A in which each element is related to itself. As the name implies, the image of each element of the set is its own reflection. In set theory, a reflexive relation is an essential concept.

(a) Ri is reflexive, symmetric, and transitive.

- Reflexive: For any x ∈ R, (x, x) ∈ Ri since |x - x| = 0 < 1.

- Symmetric: For any (x, y) ∈ Ri, we have |x - y| < 1, which implies |y - x| < 1. Therefore, (y, x) ∈ Ri.

- Transitive: For any (x, y), (y, z) ∈ Ri, we have |x - y| < 1 and |y - z| < 1. Adding these inequalities, we get |x - z| < 2, which implies (x, z) ∈ Ri.

(b) R is not reflexive, symmetric, or transitive.

- Not reflexive: For any x ∈ A, (x, x) ∉ R since x - x = 0 is not a positive integer.

- Not symmetric: For any distinct x, y ∈ A, if (x, y) ∈ R, then x - y = 1, which implies y - x = -1 is not a positive integer. Therefore, (y, x) ∉ R.

- Not transitive: Let A = {1, 2, 3} and R = {(1, 2), (2, 3)}. Then (1, 3) is not in R since 3 - 1 = 2 is not a positive integer.

(c) R3 is not reflexive, symmetric, or transitive.

- Not reflexive: For any x ∈ Z, (x, x) ∉ R3 since x * x = x^2 is not greater than 0.

- Symmetric: For any (x, y) ∈ R3, we have xy > 0, which implies yx > 0. Therefore, (y, x) ∈ R3.

- Not transitive: Let x = -1, y = 2, and z = -1. Then (x, y) ∈ R3 and (y, z) ∈ R3, but (x, z) = (-1, -1) ∉ R3 since xz = 1 is not greater than 0.

(d) R, is not reflexive, symmetric, or transitive.

- Not reflexive: For any y ∈ Z, (y, y) ∉ R, since 3 does not divide y + 2y = 3y.

- Not symmetric: For y = 1 and z = 2, we have (2, 1) ∉ R, but (1, 2) ∈ R since 3 divides 1 + 4 = 5.

- Not transitive: Let x = 2, y = 1, and z = 5. Then (x, y) ∈ R, (y, z) ∈ R, but (x, z) = (2, 5) ∉ R since 3 does not divide 2 + 10 = 12.

(e) Rs is the relation on Z given by Rs = {(x,y) ⬠Zx Z: there exists k ⬠N such that elyk and yak).

- Reflexive: This relation is not reflexive because (1, 1) ∉ Rs as there does not exist k such that 1 x k = 1.

- Symmetric: This relation is not symmetric because, for example, (1, 2) ∈ Rs but (2, 1) ∉ Rs since there does not exist k such that 2 x k = 1.

- Transitive: This relation is not transitive. For example, let x = 1, y = 2, and z = 4. Then (x, y) ∈ Rs and (y, z) ∈ Rs, but (x, z) ∉ Rs since there does not exist k such that 1 x k = 4.

In short, in this question, we were given five relations and asked to determine if they are reflexive, symmetric, and/or transitive.

(a) The relation Ri on R is reflexive, symmetric, and transitive.

(b) The relation R on A is not reflexive, not symmetric, and transitive.

(c) The relation Rs on Z is not reflexive, not symmetric, and transitive.

(d) The relation R, on Z is not reflexive, not symmetric, and not transitive.

(e) The relation Rs on Z is reflexive, not symmetric, and transitive.

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Answer:

Step-by-step explanation:

y = a(x-4)^2 + 4

Plug in (2,-8) and solve for a:

-8 = a(2-4)^2 + 4

a = -3

y = -3(x-4)^2 + 4

Answer:

2x+1/3 = 9 - 6

2x+1/3 = 3

2x + 1 = 3 × 3

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 8/2

x = 4

Good luck :)

After answering the provided question, we can conclude that As a result,  equation each chair costs $1.50 to rent, and each table costs $6.25 to rent.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an analytical solution (=). For example, the argument "2x + 3 = 9" asserts that the quote "2x + 3" equals the value "9". The goal of equation solving is to determine the value or moral standards of the variable(s) that will allow the equation to be true. Equations can be simple or complex, regular or multidimensional, and include one or more factors. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in numerous different areas of mathematics, such as algebra, calculus, and geometry.

8c + 4t = 37 (equation 1)

3c + 2t = 17 (equation 2)

\(3c = 17 - 2t\\c = (17 - 2t) / 3\\8c + 4t = 37\\8[(17 - 2t) / 3] + 4t = 37\\(136 - 16t) / 3 + 4t = 37\\\)

\(136 - 16t + 12t = 111\\-4t = -25\\t = 6.25\\3c + 2t = 17\\3c + 2(6.25) = 17\\\)

\(3c + 12.5 = 17\\3c = 4.5\\c = 1.5\\\)

As a result, each chair costs $1.50 to rent, and each table costs $6.25 to rent.

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According to the area of the rectangle, the dimensions of each pen will be 15.5 feet by 15.5 feet​

Area of rectangle:

Basically, the area of the rectangle refers the region occupied by a rectangle within its four sides or boundaries.

Given,

Here we need to find the dimensions of the rectangular dog park split into two pens (sharing a fence) of the same size producing the greatest enclosed area given 240 ft of fencing

Let us consider the length of the rectangle is l and the width of the rectangle is w.

Here in the given question, the length and width of the will be same.

Then the it can be calculated as,

=> 240 = s²

=> s = √240

=> s = 15.5

Therefore, the dimension is 15.5 feet by 15.5 feet.

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Answer:

A. Choice 2

B. Choice 1

C. Choice 2

D. Choice 1

Step-by-step explanation:

So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.

A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2

B. In the equation you can tell that every time you will be adding 16, so choice 1

C. Since it's being multiplied by 0.75 each time, it's choice 2

D. Every time y grows by 12, so it's choice 1.

Answer:

No

Step-by-step explanation:

Total cups of the mixture = 40 c water + 70 c milk = 110 c

40/110 x 100 = 36.4% water

She is not correct.

Answer:

SIX MILLION THIRTY ONE THOUSAND SEVEN HUNDRED THIRTY NINE POINT FOUR TWO

6,031,739.42 in word form is written as six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths.

In word form, numbers are written out using words rather than numerical symbols. When we write 6,031,739.42 in word form, we break down the number into its different place values and express each place value using words.

Here's the breakdown:

- Six million (6,000,000) represents the millions place.

- Thirty-one thousand (31,000) represents the thousands place.

- Seven hundred thirty-nine (739) represents the hundreds place.

- And forty-two hundredths (0.42) represents the decimal part.

Putting it all together, we say "six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths" to express the number 6,031,739.42 in word form.

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Answer:

everything is in the photo

Answer:

x < 0 is every point going from -1 to -∞, so it’s basically a block with infinite height and width going from -1 to -∞

Hope this helps!

Step-by-step explanation:

Answer:

2, 6, 10, 14

or

14, 10, 6, 2.

Step-by-step explanation:

Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d

According to the first condition:

a - 3d + a - d + a + d + a + 3d =32

4a = 32

a = 32/4

a = 8

According to the second condition:

\( \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\\)

Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.

a) A function that expresses f(x) is f(x) = 1.5x.

b) A graph of the function is shown in the image below.

c) The domain and range of the function are all real numbers or [-∞, ∞].

Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;

f(x) = 1.5x

Part b.

In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.

Part c.

By critically observing the graph shown below, we can logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-∞, ∞] or all real numbers.

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Complete Question:

A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.

a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).

b) Graph the function.

c) What are the domain and range of the function?

Answer:

The polynomial has 2 terms and a degree of 3.

Step-by-step explanation:

The given polynomial is \(3x^2y^2-5xy^2-3x^2y^2+2x^2\).

On simplification, the polynomial becomes:

\(-5xy^2+2x^2\)

Numbers of term=2

Degree=1+2=3

Hence, the polynomial has 2 terms and a degree of 3.

The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

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Answer:

the 1st one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right