∠A and \angle B∠B are complementary angles. If m\angle A=(8x-23)^{\circ}∠A=(8x−23)
∘
and m\angle B=(7x-7)^{\circ}∠B=(7x−7)
∘
, then find the measure of \angle A∠A.

Number of pipes to fill a tank and the time required to fill the same tank is directly proportional.

Given,

Direct proportion;

When the ratio x:y is constant, two values, x and y, are said to be directly proportional to one another. If we spend  $50 on two pens, as an example. For four pens, it will cost us 100 $When the ratio x:y1 is

Here

Option d  Number of pipes to fill a tank and the time required to fill the same tank is directly proportional.  Because in a fixed time interval, as the speed of a vehicle increases, the distance travelled by it also increases in the same ratio.

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The given question is incomplete. Completed question is given below;

Which of the following is in direct proportion?

(a) One side of a cuboid and its volume.

(b) Speed of a vehicle and the distance travelled in a

fixed time interval.

(c) Change in weight and height among individuals.

(d) Number of pipes to fill a tank and the time required

to fill the same tank.

Answer:

This is in the simplest form already.

Step-by-step explanation:

The simplified form of the given expression 4x5p would be equal to 20xp.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given expression is 4x5p. we need to simplify the expression.

but the given expression has unlike terms 4x and 5p so, the, unlike a variable, could not be multiplied.

Now, the simplified form will be

4x5p

= 20xp

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The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Answer:

y 4       4x + 2

y< 6     x+3

Step-by-step explanation:

Answer: $103.88

Step-by-step explanation:

98*0.06=5.88 <--- total tax charged

98+5.88=103.88 <--- add tax to price

Answer:

the answer is A

Step-by-step explanation:

number 2&3 are absolutely wrong.number2 answer is (range=3),number3 answer is (the graph has a horizental shift)

When we divide 2.4 x 10^0 by 1.2 x 10^1, we get 0.2 x 10^-1 or 2 x 10^-2 in scientific notation.

The exponents in the quotient are equal to the difference between the exponent in the dividend and the exponent in the divisor.

To divide 2.4 x 10^0 by 1.2 x 10^1, we need to write both numbers in standard form with the same exponent. We can do this by moving the decimal point one place to the right in 2.4 x 10^0 to get 24 x 10^-1. Now we have:

(24 x 10^-1) ÷ (1.2 x 10^1)

Next, we can divide the coefficients and subtract the exponents:

2.4 ÷ 1.2 = 2

10^-1 ÷ 10^1 = 10^-1-1 = 10^-2

So the answer is 2 x 10^-2 in scientific notation. We notice that the exponent in the quotient is equal to the difference between the exponent in the dividend (0) and the exponent in the divisor (1). This is because dividing by a power of 10 is equivalent to shifting the decimal point to the left by the number of zeros in the exponent.

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There are 161,700 possible outcomes if 3 prizes are to be given from 100 tickets, and the prizes are equivalent.

Possible outcomes refer to the potential results or consequences that may occur from a given situation or experiment. These outcomes can be one or many and can have varying probabilities of occurring. Since the prizes are equivalent, the order in which they are awarded does not matter. Therefore, we can use the combination formula to calculate the number of possible outcomes:

Number of possible outcomes = number of combinations of 3 items selected from 100 items

= 100C3

= (100!)/(3! * (100-3)!)

= (1009998)/(321)

= 161,700

Therefore, there are 161,700 possible outcomes.

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By solving some linear equations we can see that:

The first missing number is 5.

The second missing number is 9

Here we have a decomposition of the number 360, this means that if we define x as the missing number, then we must have that:

2*x*2*2*3*3 = 360

So we just need to solve this linear equation.

x*72 = 360

x = 360/72 = 5

x = 5

The missing number in the tree is 5.

Similarly, for the second tree if the missing number is y, we should have:

2*5*4*y = 360

40*y = 360

y = 360/40 = 9

The missing number is 9.

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The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing.  The correct answer is: 30 unit tone.

In an auditory detection study using the method of constant stimuli, the threshold for hearing is typically defined as the stimulus intensity at which a participant detects the stimulus on a certain percentage of trials. In this case, Demetri's threshold for hearing tones would be determined based on the detection rates for different stimulus intensities.

Given the information provided:

- Demetri never detects the 10 unit tone.

- He detects the 20 unit tone 25% of the trials.

- He detects the 30 unit tone 50% of the trials.

- He detects the 40 unit tone 80% of the trials.

- He detects the 50 unit tone 95% of the trials.

Based on this data, we can observe that Demetri's detection performance improves as the stimulus intensity increases. The threshold for hearing is typically defined as the stimulus intensity at which the participant detects the stimulus on 50% of the trials. In this case, Demetri detects the 30 unit tone on 50% of the trials, indicating that it corresponds to his threshold for hearing.

Therefore, the correct answer is: 30 unit tone.

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing. Stimulus intensities below 30 units (such as the 10 unit and 20 unit tones) fall below his threshold and are not detected reliably. On the other hand, stimulus intensities above 30 units (such as the 40 unit and 50 unit tones) are detected with higher percentages, indicating that they are clearly audible to him.

By determining the threshold for hearing, researchers can understand the sensitivity of an individual's auditory system and make comparisons across participants or study conditions. In this case, Demetri's threshold is identified as the 30 unit tone, indicating the minimum stimulus intensity he can reliably detect.

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Sets (c) {0), 1), +), -)} and (e) {a|0)+b|1)}, where \(a^2 + b^2\)= 1, have cloning operators, while sets (a), (b), and (d) do not have cloning operators.

A cloning operator is a quantum operation that can create identical copies of a given quantum state. In order for a set of states to have a cloning operator, the states must be orthogonal.

(a) {|0), 1)}: These states are not orthogonal, so there is no cloning operator.

(b) {1+), 1-)}: These states are not orthogonal, so there is no cloning operator.

(c) {0), 1), +), -)}: These states are orthogonal, and a cloning operator exists. The cloning operator can be represented by the following transformation: |0) -> |00), |1) -> |11), |+) -> |++), |-) -> |--), where |00), |11), |++), and |--) represent two copies of the respective states.

(d) {0)|+),0)),|1)|+), |1)|−)}: These states are not orthogonal, so there is no cloning operator.

(e) {a|0)+b|1)}, where \(a^2 + b^2\) = 1: These states are orthogonal if a and b satisfy the condition \(a^2 + b^2\) = 1. In this case, a cloning operator exists and can be represented by the following transformation: |0) -> |00) + |11), |1) -> |00) - |11), where |00) and |11) represent two copies of the respective states.

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Answer:

2

Step-by-step explanation:

4/3-(-2/3)

4/3+2/3

6/3

2

Hopes this helps please mark brainliest

Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

Answer:

It will take 7 gallons of gas

Step-by-step explanation:

85 miles + 125 miles = 210 miles to drive

30 miles a gallon

210 ÷ 30 = 7

7 gallons needed

Answer: 9in - 9in

Step-by-step explanation: I believe the answer is 9in - 9in because 3in3 -in9 = 3in x 3 - in x 9 = 0 which comes out to 9in - 9in

Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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The satellite took approximately 3.83 x 10⁴⁰ seconds to cover a distance of 4.6 x 10⁴² kilometers.

To calculate the time it took for the satellite to cover a distance of 4.6 x 10⁴² kilometers at a speed of 1.2 x 10² kilometers per second, we can use the formula:

Time = Distance / Speed

Plugging in the given values:

Time = (4.6 x 10⁴² km) / (1.2 x 10² km/s)

To simplify the calculation, we can rewrite the numbers in scientific notation:

Time = (4.6 x 10⁴²) / (1.2 x 10²) km/s

Dividing the coefficients and subtracting the exponents:

Time = 3.83 x 10⁴⁰ s

Therefore, it took the satellite approximately 3.83 x 10⁴⁰ seconds to cover the given distance.

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Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

A formula for a mathematical equation combines two statements by using the equal sign (=) to denote equivalence. An equation in algebra is a statement proving the equality of two mathematical equations. For instance, the two numbers are connected by the equation 5x + 5 = 14. A mathematical relationship is built between the sentences on either side of a letter. Usually, the symbol serves as the only variable and the only factor. For instance, 8x - 4 = 2.

Here,

the specified point's coordinates are (3, -2).

Now,

(I) The image's coordinates that are reflected in the x-axis are (3, 2)

(ii) The coordinates for the picture that is mirrored in the y-axis are (-3, -2)

(iii) The point's coordinates for the x-axis reflection and the y-axis reflection will indeed be (-3, 2).

(iv) The point's coordinates that are reflected inside the source would be (-3, 2).

Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

1.20 a bag

Step-by-step explanation:

Divide 9.60 by 8

If joe walks by 21 cats in one week then 7 cats are black.

Percentage can be defined as a ratio that is expressed as fraction of 100.

For Example , 1%= 1/100

Given that Joe's town there are 33 black cats

Total cats = 100.

The percentage of black cats in town =\(\frac{33}{100}\)=33%

Number of cats joe sees in a week =21

Number of black cats joe sees in a week will be = 33% of 21

\(=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\\)= approx. 7

Therefore , If joe walks by 21 cats in one week then 7 cats are black.

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Answer: Choose option B

Answer:

8

Step-by-step explanation:

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4

To arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.

In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.

From the data given,

35/4 > √72 > 25/3 > 8.4

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The 15 percent tip on a dinner bill of 48.71 dollars is 7.3 dollars

The dinner bill is 48.71 dollars. Let's estimate a 15 percent tip on the dinner bill as follows:

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.

In other words, Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Therefore, let's estimate the 15% tip on the dinner bill of 48.71 dollars.

dinner tip = 15% of 48.71

dinner tip =  15 / 100 × 48.71

Hence, the estimated 15% tips of the dinner bill is as follows:

dinner tip = 7.3065 dollars

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Answer:

-17

Step-by-step explanation:

The annual profits of the company Eve works for will increase by 25% every year. The annual profits in 3 years will be approximately $709,555.52.

The annual profits of the company Eve works for will increase by 25% every year. If the company makes $363,200 this year, we can calculate the annual profits in 3 years by applying the 25% growth rate.

To find the annual profits in 3 years, we need to multiply the current year's profits by \((1 + \text{growth rate})^{\text {number of years}\).

In this case, the growth rate is 25% or 0.25, and the number of years is 3.

So, the calculation would be:

Annual profits in 3 years = $363,200 * (1 + 0.25)³

To simplify the calculation, let's break it down step by step:

Step 1: Calculate the growth rate by adding 1 to the percentage growth rate: 1 + 0.25 = 1.25

Step 2: Raise the growth rate to the power of the number of years: 1.25³ ≈ 1.9531

Step 3: Multiply the current year's profits by the result of step 2: $363,200 * 1.9531 ≈ $709,555.52

Therefore, the annual profits in 3 years will be approximately $709,555.52.

Please note that rounding the answer to the nearest cent gives $709,555.52.

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Answer:

2.48

Step-by-step explanation:

Answer:

2.48

Step-by-step explanation:

I goog-led it

The solution to the system of equations is (x,y) = (1.25, -2.5) and the solution to the system of equations is (x,y) = (0, -5/3).

Let's try these strategies on the given system of equations:

2x+3y=−5

2x−3y=10

A. Subtract the following formula from the above formula:

(2x + 3y) - (2x - 3y) = (-5) - 10

6 years = -15

y = -2.5

Substituting y = -2.5 into one of the equations gives:

2x + 3(-2.5) = -5

2x - 7.5 = -5

2x = 2.5

x = 1.25

So the solution to the system of equations is (x,y) = (1.25, -2.5).

This strategy eliminates the x variable, but not the y variable. B. Add equations.

(2x + 3y) + (2x - 3y) = (-5) + 10

4x = 5

x = 1.25

Substituting x = 1.25 into one of the equations gives:

2(1.25) + 3 years = -5

3 years = -7.5

y = -2.5

So the solution of the system of equations is (x,y) = (1.25, -2.5).

This strategy removes the variable y but not the variable x.

C. Multiply the above formula by 2, then sum these formulas. 2(2x + 3y) + (2x - 3y) = 2(-5) + 10

4x = 0

x = 0

Substituting x = 0 into one of the equations gives:

2(0) + 3 years = -5

y = -5/3

So the solution to the system of equations is (x,y) = (0, -5/3).

This strategy eliminates the x variable, but not the y variable.

Therefore, there is no way to completely eliminate variables in the system of equations. 

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