find the area of the region that is enclosed between =132−3 and =2 36

Answer:

m = [F(y2) - F(y1) ] / [[F(x2) - F(x1)]      slope of a line

[9 - 6] / [x - 1] = 1       that an increase in x equals the increase in y

Obviously, x must equal 4 so 3 / 3 = 1 or when x increases by 3, y must also increase by 3 for m to equal 1

Answer:

1a) t = 0.17b

1b) $36.03

2) 51,167.50

Step-by-step explanation:

1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip

1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.

To find what the cost was without the tip, divide the bill total by 1.17

248/1.17 = 211.97. That was the bill before the tip was added.

248-211.97 = 36.03 was the tip added.

2) 5.5% converted to a decimal is 0.055

0.55 x 48,500 = 2667.50

$2,667.50 + $48,500 = 51,167.50

Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500

1.055 x 48,500 = 51,167.50

Answer:

The area of a square with side length of 2 inches is 4 square inches.

The area of a circle with radius 1.2 inches is:

\(\pi \times (1.2) ^{2} \\ = 3.14 \times 1.44 \\ = 4.5216 \: square \: inches\)

That is approximately 4.5 square inches.

Hence, the area of the square (4) is less than {<} that of the circle (4.5)!

Answer:

Obviously B

Step-by-step explanation:

Using Double-Angle Formulas, 2 sin(16°) cos(16°)= sin(32°), 2 sin(40°) cos(40°) = sin(80°)., tan(0) = 0.

To simplify the expressions using Double-Angle Formulas and solve the equation.

(a) 2 sin(16°) cos(16°)

Using the Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 16°) = sin(32°)

So, the simplified expression is sin(32°).

(b) 2 sin(40°) cos(40°)

Using the same Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 40°) = sin(80°)

So, the simplified expression is sin(80°).

Now, let's solve the given equation:

tan(0) = 0

There is no need to provide a comma-separated list of answers because tan(0) is always equal to 0.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Therefore, the surface area of the prism is 453.5 square meters.

Surface area is the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces, surfaces, or sides of the object. Surface area is measured in square units, such as square inches, square feet, or square meters, depending on the units used to measure the object's dimensions. Surface area is an important concept in geometry and is used in many real-world applications, such as calculating the amount of paint needed to cover a surface or the amount of material required to build a structure.

Here,

To find the surface area of the prism, we need to find the area of all six faces and then add them together. The prism has two congruent rectangular faces (front and back) and four trapezoidal faces (top, bottom, left, and right).

The area of the rectangular faces is:

20 m × 4 m = 80 m² (each face)

The area of the trapezoidal faces can be found using the formula for the area of a trapezoid:

Area = (a + b) × h / 2

where a and b are the lengths of the parallel sides, h is the height, and the slanting height is used to calculate the height.

For the top and bottom faces, the parallel sides are 5 m and 20 m, and the height is 4.47 m. So, the area of each face is:

(5 m + 20 m) × 4.47 m / 2 = 56.75 m² (each face)

For the left and right faces, the parallel sides are 4 m and 5 m, and the height is 20 m. So, the area of each face is:

(4 m + 5 m) × 20 m / 2 = 90 m² (each face)

Now, we can add up the areas of all six faces to get the total surface area:

Total surface area = 2 × 80 m² + 2 × 56.75 m² + 2 × 90 m²

Total surface area = 160 m² + 113.5 m² + 180 m²

Total surface area = 453.5 m²

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Answer:

\(\sqrt{72} =8.48528\\\sqrt{619} =24.8797\\\sqrt{77} =8.77496\\\sqrt{89} =9.43398\)

Step-by-step explanation:

hope this helps :)

Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer:

x=0 or x=1/2

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2−x=0

Step 1: Factor left side of equation.

x(2x−1)=0

Step 2: Set factors equal to 0.

x=0 or 2x−1=0

x=0 or x= 1 /2

Answer:

I got ans 28 but not there in options I am sorry

Answer:

53

Step-by-step explanation:

x+x+2+72=180

2x=180-74

2x=106....divide both by 2

x=53

The number of cups of rice the restaurant would need for 20 cups of veggies is 5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The recipe calls for 1/4 cup of rice for every 1 cup of veggies.

Now,

1cup veggie = 1/4 cup rice

20cup veggies= 1/4 * 20 cup rice

=5

Therefore, by algebra the count of cups of rice will be 5.

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Answer:

Continuing from 58: 174, 175

Step-by-step explanation:

The pattern is multiply by 3, and add 1. 6 x 3 = 18, and 18 + 1 = 19. same pattern works for 19 times 3, and 57 times 1. 57 times 3 is 174, then add the 1 to get 175

Answer:

Step-by-step explanation:

45 : 100

9 : 20

Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

The value of the y-intercept of the table given is 3. This is gotten by plotting the graph and trace the point when x = 0.

Intercept refers to the point where a curve or line intersects or crosses an axis. There are two types of intercepts: the x-intercept and the y-intercept.

Y-Intercept: The y-intercept is the point where a curve or line intersects the y-axis. It is the value of y when the x-coordinate is zero. In other words, it is the point where the curve or line crosses the y-axis. The y-intercept can be found by setting x equal to zero and solving for y.

From the question above, to plot the graph and determine the y-intercept, we can use the given information for the points (x, y) pairs:

x: -4, 2, 6, 9

y: 11, -1, -9, -15

Plotting these points on a graph, we get:

(-4, 11)

(2, -1)

(6, -9)

(9, -15)

To find the y-intercept, we look for the point where the graph intersects the y-axis. In other words, we are looking for the point where x is equal to zero (x = 0).

[check the attached graph]

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9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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The correct initial value problem for A(t) is: dA/dt = 12 - A(t)/25, with the initial condition A(0) = 20.

To decide the right beginning worth issue for A(t), we should think about the pace of progress of salt in the tank.

Given:

At a rate of four gallons per minute, the brine solution is pumped into the tank.

The centralization of salt in the saline solution arrangement is 3 pounds of salt for every gallon of water.

The mixture is thoroughly stirred to maintain uniform concentration throughout the tank.

The rate at which salt is added to the tank is given by 4 gallons/minute * 3 pounds/gallon = 12 pounds/minute.

Additionally, 4 gallons per minute is the rate at which the mixture is pumped out of the tank. The rate of salt removal is proportional to the amount of salt in the tank because the concentration of salt in the mixture is evenly distributed. The correct initial value problem for A(t) is as follows: We can express this rate as -A(t)/25, where A(t) is the amount of salt in the tank at time t.

dA/dt = 12 - A(t)/25, with A(0) = 20 as the initial condition.

Comparing this to the available responses:

A) dA/dt = 4 minus A/25 A(0) = 0 (Erroneous, the pace of salt expansion is absent)

B) dA/dt = 3 - A/25; A(0) = 0 (Inaccurate, the pace of salt expansion is absent)

C) dA/dt = 4 + A/25; D) dA/dt = 12 - A/25; A(0) = 20 (erroneous, the rate of salt addition is incorrect); A(0) = 20 (Yes, it matches the problem with the derived initial value)

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The solutions of the system are y = -8 and x = 9.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

A system of equations,

5x + 6y = -3   {Equation 1}

8x + 8y = 8     {Equation 2}.

Multiply 8 into equation 1 and multiply by 5 into equation 2,

and subtract the equation,

we get,

40x + 48y - 40x - 40y = -24 - 40

8y = -64

y = -8 and x = 9

Therefore, the solutions are y = -8 and x = 9.

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Answer:

First, you have to add 11 on both sides, so the answer is A

Answer:

3.7 meters

Step-by-step explanation:

please see the answer above

a. The probability that you win on none of your 5 plays is approximately 0.6634. b. The probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

To solve these problems, we'll use the binomial probability formula.

a. The probability of winning in any one play is 0.08, so the probability of losing in any one play is 1 - 0.08 = 0.92.

The probability of winning on none of your 5 plays can be calculated as the probability of losing on each play, which is 0.92, raised to the power of the number of plays.

P(losing all 5 plays) = (0.92)^5 = 0.6634 (rounded to four decimal places)

Therefore, the probability that you win on none of your 5 plays is approximately 0.6634.

b. To find the probability of winning 3 or more of your 5 plays, we need to calculate the probability of winning 3, 4, or 5 plays and sum them up.

P(winning 3 or more plays) = P(winning 3 plays) + P(winning 4 plays) + P(winning all 5 plays)

P(winning 3 plays) = C(5, 3) *\((0.08)^3 * (0.92)^2\)

                  = 10 * 0.000512 * 0.8464

                  ≈ 0.00434 (rounded to five decimal places)

P(winning 4 plays) = \(C(5, 4) * (0.08)^4 * (0.92)^1\)

                  = 5 * 0.000032768 * 0.92

                  ≈ 0.000151 (rounded to six decimal places)

P(winning all 5 plays) = \((0.08)^5\)

                     ≈ 0.000006 (rounded to six decimal places)

Now we can sum up these probabilities:

P(winning 3 or more plays) ≈ 0.00434 + 0.000151 + 0.000006

                          ≈ 0.004497 (rounded to six decimal places)

Therefore, the probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

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Answer:

(1.5,0)

Step-by-step explanation:

midpoint coordinate (x+x1/2  , y+y1/2)

x+x1=7-4/2=3/2=1.5

y+y1/2 = 2-2/2=0

Answer:

22

Step-by-step explanation:

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

One way to find the area of a square with a side length of 12 yards is to use the formula A = s^2, where A is the area and s is the side length. Since 1 yard equals 3 feet, we can convert the side length to feet and then square it to get:

12 yards = 12 x 3 = 36 feet

A = 36^2 = 1296 square feet

Another way to find the area is to use the fact that the area of a square is equal to the length of one side squared, and the length of one side is equal to the square root of the area. So we can find the area of the square in square yards first, and then convert it to square feet:

Area in square yards = side length in yards squared

= 12 yards x 12 yards

= 144 square yards

Since 1 yard equals 3 feet, we can convert square yards to square feet by multiplying by 9:

Area in square feet = 144 square yards x 9

= 1296 square feet

The angle E has the largest measure, followed by angles F and D which have the same measure.

To find the order of angle measures from largest to smallest in triangle DEF, we can use the Law of Cosines. This law relates the lengths of the sides of a triangle to the cosine of the opposite angle. The formula is:
c² = a²  + b²  - 2ab cos(C)
where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Using this formula, we can find the cosines of each angle in triangle DEF:
cos(D) = (e²  + f²  - d² ) / (2ef) = (26²  + 32²  - 29² ) / (2 × 26 × 32) ≈ 0.322
cos(E) = (d²  + f²  - e² ) / (2df) = (32²  + 26²  - 29² ) / (2 × 32 × 26) ≈ 0.642
cos(F) = (d²  + e²  - f² ) / (2de) = (32²  + 26²  - 29² ) / (2 × 32 × 26) ≈ 0.642
The cosine function is decreasing on the interval [0,π], so the order of the angles from largest to smallest is:
E > F = D

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Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)