Lines L and M are parallel.
3/4
L
2/5
1 6
38° 7
-M
Find : m 2
Enter the number that
belongs in the green box.
O
?]

To convert 345% to a fraction, we first divide it by 100 to get the decimal equivalent. 345% as a decimal is 3.45.

345% = 345/100

To convert this to a fraction, we can simplify it by dividing both the numerator and denominator by their greatest common factor (GCF), which is 5:

345/100 = (345 ÷ 5)/(100 ÷ 5) = 69/20

Therefore, 345% as a fraction is 69/20.

To convert 345% to a decimal, we simply divide it by 100:

345% = 345 ÷ 100 = 3.45

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Answer: The third image.

If we know that hanj is a decreasing sequence and all its terms lie between the numbers 5 and 8, it can be explained as follows:

Decreasing Sequence: The term "decreasing sequence" means that each subsequent term in the sequence is smaller than its preceding term. In the case of hanj, this implies that each hanj term is smaller than the one that comes before it. This information establishes the order and pattern of the sequence.

Upper Bound: The fact that all the terms of hanj lie between the numbers 5 and 8 indicates that no term in the sequence exceeds the value of 8. This upper bound of 8 sets a limit on the magnitude of the hanj terms, ensuring they do not exceed this value.

Lower Bound: Similarly, the statement suggests that none of the hanj terms is less than the number 5. This establishes a lower bound for the sequence, indicating that the terms are not smaller than 5.

Combining these two bounds (5 and 8) along with the decreasing nature of the sequence, we can conclude that the hanj sequence is a monotonically decreasing sequence with terms ranging from 5 to 8, inclusive.

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Answer:

27

Step-by-step explanation:

Using mathematical operations we know that Nile and Bob travelled for 7 hours.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).

So, we know that both Nile and Bob sailed same time and for the same length:

NIle: 42 miles at a speed of 6mph

Bob: 98 miles at the speed of 14mph

Time for which Nile and Bob were traveling are:

Nile: 42/6 = 7 hours

Bob: 98/14 = 7 hours

Therefore, using mathematical operations we know that Nile and Bob travelled for 7 hours.

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The solution contains 68.7 milliliters of acid, according to the data provided.

An acid is any substance that tastes sour in water, turns blue litmus paper red, combines with some metals to free hydrogen, reacts without bases to form salts, and facilitates chemical reactions (acid catalysis).

Count the hydrogens in each component both before and after the reaction to determine if it is an acid or a basic. If the amount of hydrogens has reduced, that material seems to be the acid (which donates hydrogen ions).

Solution = 356 milliliters

Acid = 19.3% of solution

The amount of acid in the solution is calculated as:

Acid = 19.3% × 356 milliliters

Evaluate

Acid = 68.708 milliliters

Acid = 68.7 milliliters

The solution contains 68.7 milliliters of acid, according to the data provided.

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Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

Angela practiced piano during the weekend for 6 hours.

According to the question,

Amount Angela spent on Saturday  = \(2\frac{1}{3}\)

Amount Angela spent on Sunday = \(3\frac{2}{3}\)

To find out the total amount spent on both days of the weekend =

The amount that Angela spent on Saturday + the amount that Angela spent on Sunday

= \(2\frac{1}{3}\) (otherwise expressed as 7/3) + \(3\frac{2}{3}\) (otherwise expressed as 11/3)

\(= \frac{7}{3} + \frac{11}{3}\)

\(= \frac{7 + 11}{3}\)   ( using addition)

= \(\frac{18}{3}\) = 6 hours

Noted, Friday’s value was not added because it didn’t fall on the weekend.

The denominators of both fractions are the alike (3), thereby it was used to factor out the numerators (7) and (11), and subsequently arrive at the final answer which is 6 hours.

So, Angela practiced for 6 hours.

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Answer:

The sum of three consecutive integers is -72

Step-by-step explanation:

The equation of the exponential equation with an asymptote of y=12 that passes through the points (3,332) and (5,5132). y = -28.295(b^x) + 12.

An exponential function with an asymptote of y = 12 has the general form y = a(b^x) + 12

where a is a non-zero constant and b is a positive constant.

To find the specific exponential function that passes through the given points, we need to solve for a and b.

Using the point (3,332), we have:

332 = a(b^3) + 12

Using the point (5,5132), we have:

5132 = a(b^5) + 12

We now have two equations with two unknowns. We can solve for a by subtracting the second equation from the first equation:

-4800 = a(b^3 - b^5)

We can then solve for b^2 by dividing both sides by a and factoring out b^2:

b^2 = (b^3 - b^5) / (-4800a)

Since b is positive, we can take the square root of both sides:

b = sqrt((b^3 - b^5) / (-4800a))

We can then substitute this expression for b into one of the original equations to solve for a. Using the first equation, we have:

332 = a(b^3) + 12

332 = a(sqrt((b^3 - b^5) / (-4800a))^3) + 12

332 = a(b^3 - b^5)^(3/2) / (-4800a) + 12

Multiplying both sides by (-4800a) and simplifying, we get:

-1593600 = a(b^3 - b^5)^(3/2) + (-4800a)(12)

-1593600 = a(b^3 - b^5)^(3/2) - 57600a

-27.67 = (b^3 - b^5)^(3/2) - 0.036a

We can now solve for a:

a = (b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)

Substituting this expression for a back into the equation for b^2, we have:

b^2 = (b^3 - b^5) / (-4800a)

b^2 = (b^3 - b^5) / (-4800[(b^3 - b^5)^(3/2) / (-27.67 + 0.036b^2)])

Simplifying, we get:

b^2 = sqrt((27.67 - 0.036b^2) / 4800)

Squaring both sides, we have:

b^4 = (27.67 - 0.036b^2) / 4800

Multiplying both sides by 4800 and rearranging, we get:

0.036b^6 + 4800b^4 - 27.67 = 0

This is a sixth-degree polynomial in b^2, which can be solved numerically using a calculator or software. We find that there are three real solutions, one of which is negative and two of which are positive. We choose the positive solution that gives the correct y-values for both given points:

b ≈ 1.3825

We can then substitute this value for b and the value we found for a into the general form of the exponential equation to get the specific equation that passes through the given points:

y = -28.295(b^x) + 12.

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Answer:

y=3x+6

Step-by-step explanation:

Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.

The probability of selecting D twice in the random selection is D. 4 / 9.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

It should be noted that the probability of selecting D will be:

= 2 / 3.

Therefore, the probability of selecting D twice will be the multiplication of the probability that's gotten twice. This will be illustrated thus:

= 2 / 3 × 2 / 3

= 4 / 9

Therefore, the probability is 4 / 9.

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Answer:

[I didn't do it right]

Step-by-step explanation:

[Deleted since it has been said to be wrong and I would not like to spread misinformation]

Answer:

40.5=40 1/2

Step-by-step explanation:

Answer: 40.5 as a fraction is 81/2. ✅

Step-by-step explanation:

Sure, here's a step-by-step explanation of how I got the fraction 81/2 for the decimal number 40.5:

Identify the number of decimal places in the decimal representation of 40.5, in this case, it's 1.

Write the decimal number as a fraction by placing the decimal number over a power of 10 that has the same number of zeroes as there are decimal places in the decimal representation. In this case, it's 40.5 / 10^1 (or 40.5/10).

Simplify the fraction if possible by dividing both the numerator and denominator by a common factor if one exists. In this case, the fraction is already in its simplest form.

The fraction representation of 40.5 is 405/10

Simplify the fraction again if possible by dividing both the numerator and denominator by a common factor if one exists. In this case, the fraction can be simplified further by dividing both the numerator and denominator by 5.

So, the fraction representation of 40.5 is 81/2

Hence, the fraction representation of 40.5 is 81/2.

Answer:  not sure. but as long as he saves his money wisely and doesn't spend frivilously

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

36/100 = 9/25

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Answer:

-1=41

0=-8

1=-15

2=-22

so these are the answers

Answer:

6/11?

Step-by-step explanation:

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

The rectangular equation of the tangent line at θ = (3π/2) for the polar curve r = 5/(3 - cos(θ)) can be determined using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope of the tangent line, we need to differentiate the polar equation with respect to θ and evaluate it at θ = (3π/2). The slope (m) of the tangent line is given by dy/dx.

Let's calculate the slope (m):

r = 5/(3 - cos(θ))

Differentiating both sides with respect to θ:

dr/dθ = [d(5/(3 - cos(θ)))/dθ]

Using the quotient rule and chain rule, we can calculate dr/dθ as follows:

dr/dθ = [(-5sin(θ)(3 - cos(θ)) - 5*(sin(θ))*sin(θ)) / (3 - cos(θ))^2]

Substituting θ = (3π/2):

m = dy/dx = dr/dθ / (dθ/dx)

dθ/dx is the reciprocal of dx/dθ, which is 1/(dr/dθ) in this case.

Now we can find the slope (m) by substituting the values:

m = [-5sin(3π/2)(3 - cos(3π/2)) - 5*(sin(3π/2))*sin(3π/2)] / [(3 - cos(3π/2))^2]

Once you have the slope (m), you can substitute the point (3π/2, r) into the point-slope form of the equation to find the y-intercept (b) and write the equation of the tangent line.

To determine the rectangular equation of the tangent line at θ = (3π/2) for the given polar curve, you need to calculate the slope (m) using the derivatives and substitute the point into the point-slope form of the equation.

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Answer:

\(A=\frac{2d-g^3}{h}\)

Answer:

1464*.34=amount of students

Step-by-step explanation:

A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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Answer:

283.5 cm squared

Step-by-step explanation:

The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.

3 congruent triangles:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of one triangle is 10 and the height is 4. So:

A = (1/2) * b * h

A = (1/2) * 10 * 4 = 20

Since there are 3 such triangles, multiply 20 by 3:

20 * 3 = 60 cm squared

3 congruent rectangles:

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the length is 6 and the width is 10, so:

A = lw

A = 6 * 10 = 60

There are 3 such rectangles, so multiply 60 by 3:

60 * 3 = 180 cm squared

1 base triangle:

Again we use the formula A = (1/2) * b * h for this area.

Here, the base is 10 and the height is 8.7, so:

A = (1/2) * b * h

A = (1/2) * 10 * 8.7 = 43.5 cm squared

Add all these together:

60 + 180 + 43.5 = 283.5 cm squared

The answer is thus 283.5 cm squared.

Answer:

283.5 cm²

Step-by-step explanation:

3 rectangles + 3 triangles on top + triangular base

3(10×6) + 3(½×10×4) + (½×10×8.7)

180 + 60 × 43.5

283.5 cm²

Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

For given question,

Mary lou received $14,000, 7 years prior to her enrolling in college.

She invested the money at 5.5% compounded semiannually.

so the Principal(P) = $14000

Rate (R) = 5.5%

Period(t) = 7 years

First we find the rate of interest in decimal form.

5.5% = 5.5/100

5.5% = 0.055

so, r = 0.055

Using the formula for continuous compound interest,

\(\Rightarrow A = Pe^{rt}\\\\\Rightarrow A=14000\times e^{(0.055\times 7)}\)

⇒ A = 14000 × e^(0.385)

⇒ A = 14000 × 1.4696

⇒ A = $20574.6

This means, after 7 years she will have $20574.6 in her saving account.

Therefore, Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

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Angles (2x + 20)° and (3x + 10)° are supplementary, that is,

(2x + 20) + (3x + 10) = 180

(2x + 3x) + (20 + 10) = 180

5x + 30 = 180

5x = 180 - 30

x = 150/5

x = 30

Answer:

2

Step-by-step explanation:

12-8/-3-(-5)=4/2

m=4/2