hat is the area, in square meters, of the shaded part of thetangle below?

Answer: she has been home 68 mins so one hour and 8 mins

Answer:

1 hour and 40 minutes.

Step-by-step explanation: Just add them all up and then convert them into hours and minutes.

The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)

To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.

So, let's apply this transformation to each point.

The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).

The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).

The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).

These new coordinates give us the vertices of the triangle after it has been translated two units to the left.

Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).

This is the second option in the answer choices given.

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Answer:

Both.

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

guy above me is right

Answer:

32.36

Step-by-step explanation:

Answer:

32.36

Step-by-step explanation:

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

C, D, F

Step-by-step explanation:

Anything to the power of 0 is equal to 1

C because 1=1

D because 1 multiplied by itself is 1

F because, just like what I said, anything to the power of 0 is equal to 1

Step-by-step explanation:

hope you can understand

Answer:

Ok

Step-by-step explanation:

So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.

The period T of a pendulum is given by:

Where T is the period (s)

L the length (ft)

π is 3.14

A value of T=12.56 seconds is given. Let's find the length then:

Thus, the length of a pendulum with a period of T=12.56s is equal to 128ft

The researchers could utilize a probability sample.

Meaning of a Probability Sample

Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.

Probability Sample as the Representative of Population Sample

Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.

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Rounded to the nearest tenth, the missing length b is approximately 27.6.

To find the missing length b in a right triangle with a = 12.0 and c = 30.1, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b).

Using the Pythagorean theorem, we have:

\(c^2 = a^2 + b^2\)

Substituting the given values, we get:

\((30.1)^2 = (12.0)^2 + b^2\)

Simplifying the equation, we have:

\(906.01 = 144 + b^2\)

Subtracting 144 from both sides, we get:

\(b^2 = 906.01 - 144\\b^2 = 762.01\)

To find b, we take the square root of both sides:

\(b = \sqrt{762.01\)

Calculating the square root, we find:

\(b \approx 27.6\)

Rounded to the nearest tenth, the missing length b is approximately 27.6.

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Answer:

129

Step-by-step explanation:

distance from -29 to 0 plus 100 to 0

hope this helped :))

Answer:

Step-by-step explanation:

the top one is already answered

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

The probability that both A and B occur is given by P(A and B) = P(B | A) * P(A) = 0.2 * 0.5 = 0.1.

This can be visualized using a Venn diagram, where the intersection of A and B represents the probability of both events occurring, which is equal to 0.1 in this case.

The probability of B occurring and A not occurring is given by P(B and not A) = P(B) - P(B | A) * P(A') = 0.3 - 0.2 * 0.5 = 0.2. This represents the area of the B circle outside of the A circle.

Given that P(A) = 0.6 and P(A and B) = 0.5, we can use Bayes' theorem to find P(B | A) as follows: P(B | A) = P(A and B) / P(A) = 0.5 / 0.6 = 0.83. This means that the probability of B occurring given that A has occurred is 0.83.

We can also visualize this using a Venn diagram, where the overlap between A and B represents the probability of both events occurring, and the B circle represents the probability of B occurring given that A has occurred.

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Answer: 1.25 inches

Step-by-step explanation:

20 miles ·  \(\frac{1 in}{16 miles}\) = \(\frac{5}{4}\) inches = 1.25 inches

Explanation and Steps:

So if 1 inch is 16 miles and we have to figure out how many inches is 20 miles, we should find how many inches is 1 mile to start. To do that, we will do 1 divided by 16, which is 0.0625. So 1 mile is 0.0625 inches.

Now let's check to see if the math was correct. Take 0.0625 and multiply it by 16. If you get 1, it's correct, if not, it's incorrect. (0.0625)(16)=1. That is correct! So now that we know 0.0625 inch is equal to 1 mile, we can find how many inches is 20 miles by multiplying 0.0625 and 20. (0.0625)(20)=1.25

1.25 inches on the map represents 20 miles.

Work (Answer):

1in=16mi

1in/16mi=0.0625in/mi

(0.0625in/mi)(20mi)=1.25in

Hope this helped!

The total volume of drinks that Harold and Dan prepared altogether is 351/42 liters.

To find the total volume of drinks prepared by Harold and Dan, we need to add their individual volumes.

Harold prepared 4 3/7 liters of drinks, which can be written as a mixed fraction: 4 + 3/7 = 31/7 liters.

Dan prepared 1 1/2 liters less than Harold, so we subtract 1 1/2 liters from Harold's volume: 31/7 - 1 1/2.

To subtract 1 1/2 liters, we need to convert it to a fraction with a common denominator of 7. Since 1/2 is equivalent to 3/6, we can write it as 3/6.

Now we can subtract: 31/7 - 3/6.

To subtract fractions, we need a common denominator, which in this case is 42 (7 * 6).

Converting the fractions to have a denominator of 42:

31/7 = (31/7) * (6/6) = 186/42.

3/6 = (3/6) * (7/7) = 21/42.

Subtracting: 186/42 - 21/42 = 165/42.

So Dan prepared 165/42 liters of drinks.

To find the total volume of drinks prepared by Harold and Dan, we add their volumes:

31/7 + 165/42.

To add fractions, we need a common denominator, which is 42 in this case.

Converting the fractions to have a denominator of 42:

31/7 = (31/7) * (6/6) = 186/42.

165/42 remains the same.

Adding: 186/42 + 165/42 = (186 + 165)/42 = 351/42.

The total volume of drinks that Harold and Dan prepared altogether is 351/42 liters.

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Answer:25

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

To solve this, we need to use the geometric mean(altitude theorem).

this is:

\(\frac{segment 1}{altitude} =\frac{altitude}{segment2}\)

We can input the values into this equation:

\(\frac{x}{3} =\frac{12}{x}\)

Now, we can cross multiply x by x and 3 by 12 to get:

\(x^2 = 3(12)\)

Simplifying this, we get:

\(x^2 = 36\)

The square root of 36 is 6, and therefore, x is six.

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The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when \(t =0\)

From the table of bacteria A, we have:

\(Initial = 100\) when \(t = 0\)

From the graph of bacteria B, we have:

\(Initial = 75\) when \(t = 0\)

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

\(m = \frac{y_2 - y_1}{t_2 - t_1}\)

Where

y = Number of bacteria

t = time

For bacteria A:

\((t_1,y_1) = (0,100)\)

\((t_2,y_2) = (2,140)\)

So, the slope is:

\(m_A = \frac{140 - 100}{2 - 0}\)

\(m_A = \frac{40}{2}\)

\(m_A = 20\)

For bacteria B:

\((t_1,y_1) = (0,75)\)

\((t_2,y_2) = (1,100)\)

So, the slope is:

\(m_B = \frac{100- 75}{1 - 0}\)

\(m_B = \frac{25}{1 }\)

\(m_B = 25\)

Since \(m_B > m_A\), then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

\(y = m(t - t_1) + y_1\)

For bacteria A, we have:

\(y = m_A(t - t_1) + y_1\)

Where:

\((t_1,y_1) = (0,100)\)

\(m_A = 20\)

So:

\(y = 20(t - 0) +100\)

\(y = 20(t) +100\)

\(y = 20t +100\)

For bacteria B, we have:

\(y = m_B(t - t_1) + y_1\)

Where:

\((t_1,y_1) = (0,75)\)

\(m_B = 25\)

So:

\(y = 25(t - 0) + 75\)

\(y = 25(t) + 75\)

\(y = 25t + 75\)

At 3 hours, the population of bacteria A is:

\(y = 20t +100\)

\(y = 20* 3 + 100\)

\(y = 60 + 100\)

\(y = 160\)

At 3 hours, the population of bacteria B is:

\(y = 25t + 75\)

\(y=25 * 3 + 75\)

\(y=75 + 75\)

\(y=150\)

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

\(y = y\)

\(25t + 75 =20t + 100\)

Collect like terms

\(25t - 20t = 100 - 75\)

\(5t = 25\)

Solve for t

\(t = 25/5\)

\(t = 5\)

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer:

32

Step-by-step explanation:

If both pizzas are sold for the same price then you should buy 12-inch pizza.

What is the area of a circle?

In geometry, the area enclosed by a circle of radius r is denoted by the symbol πr².

The Greek letter 'π' represents the constant ratio of a circle's circumference to its diameter, which is approximately equal to 3.14159.

There are two types of pizzas one is 8-inch and another one is 14-inch.

For 8-inch pizza,

   Diameter = 8 inch

   so radius = 8/2 = 4 inches.

   and it is cut into 60 degrees so the number of pizza slices would be

                                  = 360/60

                                  = 6 pizza slices.

For 12-inch pizza,

   Diameter = 12 inch

   so radius = 12/2 = 6 inches.

   and it is cut into 45 degrees so the number of pizza slices would be

                                  = 360/45

                                  = 8 pizza slices.

Now the area of one slice of the 8-inch pizza = π × r²

                                                                            = 3.14 × (4)²

                                                                            = 3.14 × 16

                                                                            = 50.24 square inches.

Now the area of one slice of the 12-inch pizza = π × r²

                                                                            = 3.14 × (6)²

                                                                            = 3.14 × 36

                                                                            = 113.04 square inches.

Now by comparing the areas of slices of both the pizzas

The area of one slice of the 12-inch pizza is greater than the area of one slice of the 8-inch pizza.

Hence, If both pizzas are sold for the same price then you should buy 12-inch pizza.

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The solution to the given differential equation is y(0.2) = 1.1188.

To solve the given differential equation dy/dt = √(x² + y) with the initial condition y(0) = 0.8, we can use the numerical method known as the Euler's method.

The Euler's method approximates the solution by taking small steps of size h in the independent variable (t) and approximating the derivative at each step.

Given that the range is x = 0.2 da to a = 0.2 with a step size of h = 0.2, we can start at x = 0.2 and compute the values of y at each step.

Let's perform the calculations step by step:

Step 1:

x₀ = 0.2, y₀ = 0.8

Step 2:

x₁ = x₀ + h = 0.2 + 0.2 = 0.4

y₁ = y₀ + h * √(x₀² + y₀) = 0.8 + 0.2 * √(0.2² + 0.8) = 0.8 + 0.2 * √(0.04 + 0.64) = 0.8 + 0.2 * √0.68 ≈ 0.8843

Step 3:

x₂ = x₁ + h = 0.4 + 0.2 = 0.6

y₂ = y₁ + h * √(x₁² + y₁) = 0.8843 + 0.2 * √(0.4² + 0.8843) = 0.8843 + 0.2 * √(0.16 + 0.7811) = 0.8843 + 0.2 * √0.9411 ≈ 0.9624

Step 4:

x₃ = x₂ + h = 0.6 + 0.2 = 0.8

y₃ = y₂ + h * √(x₂² + y₂) = 0.9624 + 0.2 * √(0.6² + 0.9624) = 0.9624 + 0.2 * √(0.36 + 0.9259) = 0.9624 + 0.2 * √1.2859 ≈ 1.0394

Step 5:

x₄ = x₃ + h = 0.8 + 0.2 = 1.0

y₄ = y₃ + h * √(x₃² + y₃) = 1.0394 + 0.2 * √(0.8² + 1.0394) = 1.0394 + 0.2 * √(0.64 + 1.0799) = 1.0394 + 0.2 * √1.7199 ≈ 1.1188

The solution to the given differential equation for the range x = 0.2 da to a = 0.2, with a step size of h = 0.2, is approximately:

y(0.2) ≈ 1.1188.

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Answer:3*3*3*3*3=243

Step-by-step explanation:

Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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Answer:

I would use the lid value = 3391.2

Step-by-step explanation:

Do you need a lid? I'll add it on last.

Base

Area = 3.14 * r*r

r = 12

Area = 3.14 * 12*12

Area = 452.16 square inches.

The body of the can

Area of can body = 2*pi*r * h

pi = 3.14

r = 12

h = 33 inches

Area = 2*3.14 * 12 * 33

Area = 2486.88 square inches

Total are so far = 2486.88 + 452.16 = 2939.4

If you need a lid as well, then just add 452.16 more = 3391.2

The recursive formula for the arithmetic sequence in this problem is given as follows:

c(1) = -16.

c(n) = c(n - 1) - 17.

Arithmetic sequences are collections of numbers that share a consistent difference between them; that is, there is a constant amount of subtraction between any two entries in an arithmetic sequence.

The recursive formula for an arithmetic sequence is defined as follows:

c(n) = c(n - 1) + d.

In which d is the common difference of the arithmetic sequence.

The sequence in this problem is given as follows:

-16, -33, -50, -67,...

Then the common difference is obtained as follows:

d = -33 - (-16) = -33 + 16 = -17.

So, c(n) = c(n - 1) - 17.

c(1) = -16.

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It is not possible to answer this question without seeing the graph. Please provide the graph or a description of the graph.

Answer:

wheres the problem and question

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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