Which equation correctly represents the line graphed below?

Answer:

4 cm by 24 cm: Yes

6 cm by 22 cm: No

8 cm by 12 cm: Yes

24 cm by 8 cm: No

32 by 6 cm: No

Step-by-step explanation:

Step 1: Find the area of the triangle.

Step 2: Go through each dimensions of the rectangles.

Answer:

180

Step-by-step explanation:

\(\frac{6}{2} x^{2} | \frac{8}{2}\)

192-12=180

Answer:

Turning her body toward Carly.

Step-by-step explanation:

Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.

(c) The student misses the bus by the difference between the total distances covered by the bus and the student.

(a) To determine the distance covered by the bus from the moment the student starts chasing it until the moment the bus passes by the stop, we need to consider the relative motion between the bus and the student. Let's break down the problem into two parts:

1. Acceleration phase of the student:

During this phase, the student accelerates until reaching the bus's velocity. The initial velocity of the student is zero, and the final velocity is the velocity of the bus. The time taken by the student to accelerate is given as 1.70 s.

Using the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the acceleration of the student:

a = (v - u) / t

  = (0 -\(v_{bus}\)) / 1.70

Since the student starts 200 m ahead of the bus, we can use the following kinematic equation to find the distance covered during the acceleration phase:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2)(-\(v_{bu}\)s/1.70)(1.70)^2

              = (-\(v_{bus}\)/1.70)(1.70^2)/2

              = -\(v_{bus}\)(1.70)/2

2. Constant velocity phase of the student:

Once the student reaches the velocity of the bus, both the bus and the student will cover the remaining distance together. The time taken by the bus to cover the remaining distance of 200 m is given as 36 s - 1.70 s = 34.30 s.

The distance covered by the bus during this time is simply:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the bus is:

Total distance = s_acceleration + s_constant_velocity

              = -v_bus(1.70)/2 + v_bus(34.30)

Since the distance covered cannot be negative, we take the magnitude of the total distance covered by the bus.

(b) To determine the distance covered by the student during the 36 s, we consider the acceleration phase and the constant velocity phase.

1. Acceleration phase of the student:

Using the equation of motion:

s = ut + (1/2)at^2

Substituting the values:

\(s_{acceleration}\) = (0)(1.70) + (1/2\(){(a_student)}(1.70)^2\)

2. Constant velocity phase of the student:

During this phase, the student maintains a constant velocity equal to that of the bus. The time taken for this phase is 34.30 s.

The distance covered by the student during this time is:

\(s_{constant}_{velocity} = v_{bus}\) * (34.30)

Therefore, the total distance covered by the student is:

Total distance =\(s_{acceleration} + s_{constant}_{velocity}\)

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Answer:

It is d it is a scalene

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.

Answer:

a and c

Step-by-step explanation:

both of them go up linear-ly

Answer:

Step-by-step explanation:

The given formula can be used to find the area when the radius is known.

  r = 3, A = 3²π = 9π

  r = 1/2, A = (1/2)²π = 1/4π

The formula can be solved to give the radius when the area is known:

  r = √(A/π)

  A = 16π, r = √(16π/π) = 4

  A = 100π, r = √(100π/π) = 10

Answer:

median is the most appropriate measure of center.

Step-by-step explanation:

The Median is the value in the center of the data. Because the median uses only one or two values, it is unaffected by extreme outliers.

Answer:

The Median

The middle number in a given sequence of numbers, taken as the average of the two middle numbers when the sequence has an even number of numbers.

A value is a measure of central tendency. The median is the value in the center of the data. Half of the values are fewer than the median, while the other half are greater than the median. In a skewed distribution, it is generally the best measure of center to employ.

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The percent of the first 15 whole numbers have exactly 4 distinct whole will be 26.67%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The first 15 whole numbers have exactly 4 distinct whole number divisors. Then the percentage is given as,

P = (4 / 15) x 100

P = 0.2667 x 100

P = 26.67%

The percent of the first 15 whole numbers have exactly 4 distinct whole will be 26.67%.

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Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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All of the following statements are true:

a. Effective listening is vital to success in selling.

b. visual aids play a part in the listening process.

c. people can talk approximately twice as fast as they can listen.

d. you should listen closely to everything you hear.

e. listening refers to the process of trying to detect sounds.

Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer: 1320

Step-by-step explanation:

Given,

HCF of two numbers = 40

Product of two numbers = 52800

To find,

LCM of two numbers =?

Formula required,

HCF × LCM = product of two numbers

Calculation,

Using formula

→ HCF × LCM = product of two numbers

→ ( 40 ) × LCM = 52800

→ LCM = 52800 / 40

→ LCM = 1320

Therefore,

LCM of two numbers would be 1320.

The gamma distribution with parameters $\alpha$ and $\beta$ is a probability distribution that can be derived using the transformation $x = \beta y$.

The probability density function of the gamma distribution is:

f(x; α, β) = \frac{(\beta x)^{\alpha - 1} e^{-\beta x}}{\Gamma(\alpha)}

where $\alpha$ is the shape parameter and $\beta$ is the rate parameter.

The derivation is as follows:

* The gamma function is defined as:

Γ(α) = \int_0^{\infty} x^{\alpha - 1} e^{-x} dx

* Using the transformation $x = \beta y$, we get:

Γ(α) = \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* We can then write the probability density function of the gamma distribution as:

f(x; α, β) = \frac{1}{\Gamma(\alpha)} \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* This is the same as the probability density function of the gamma distribution with parameters $\alpha$ and $\beta$.

The mean and variance of the gamma distribution can be found using the following formulas:

E(X) = \alpha \beta

Var(X) = \alpha \beta^2

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Answer: 26.46cm

Step-by-step explanation:

The formula of a diagonal of a square is square root 2 a(a is not under the square root though)

So just substitute the a (area) with 350 and solve the equation.

Answer:

26.46cm

Step-by-step explanation:

Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.

Answer:

Depends. See text.

Step-by-step explanation:

Surface area or volume?

Ther are two options.

Case 1: we know nothing about the green angles I've marked in green. Data is insufficient to determine the perimeter of the trapezoid base, and then to calculate the surface area.

Case 2:Unlikely, since the right angles are marked everywhere else when not obvious: the base of the prism is a right trapezoid, ie two of the angles measures 90°. In that case we can easily find the length of the missing side with pythagorean theorem: \(l=\sqrt{1+3^2}= \sqrt{10}\). Perimeter becomes \(2p=6+7+3+\sqrt{10}=16+\sqrt{10}\). Base area is \(A_b=\frac12(6+7)\times 3 = \frac{39}2\) And the total surface becomes \(S= 2A_b+2pH = 39+(16+\sqrt{10})20 = 39+320+20\sqrt{10}=359+20\sqrt{10}\)

Or is it the volume you want? Way simpler, we calculate the area of the prism (see above) and multiply it by the height of the solid:

\(V = A_bH = \frac{39}2\times 20 = 390\)

To calculate the purchase price of the property and the cost of financing, we need to determine the present value of the down payment and the series of payments. Using the interest rate of 5% per annum compounded annually and the given payment schedule, we can find the purchase price and the cost of financing.

The purchase price of the property can be calculated by finding the present value of the down payment and the series of payments. The down payment is $8725.00, which is the initial cash outflow. The payments of $1465.00 are made at the end of every three months for 10 years, totaling 40 payments.

To find the present value, we need to discount each payment using the interest rate of 5% per annum compounded annually. The formula to calculate the present value of a series of payments is:

Present Value = Payment \(\times \left(\frac{1 - (1 + r)^{-n}}{r}\right)\)

where Payment is the periodic payment, r is the interest rate, and n is the total number of payments.

By substituting the values into the formula, we find that the purchase price of the property is approximately $95,895.14.

The cost of financing can be calculated by subtracting the sum of the down payment and the total payments from the purchase price. In this case, the cost of financing is approximately $87,170.14.

Therefore, the purchase price of the property is $95,895.14, and the cost of financing is $87,170.14.

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Answer:

1,4,5

Step-by-step explanation: it ees what it ees

Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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Answer:

Ravi: 120

Isha: 180

Step-by-step explanation:

Think of the ratio as parts. Ravi gets 2 parts while Isha gets 3.

But, we don't know how much each gets. This is written as X.

The ratio of 2:3 can be set up in an equation as 2x and 3x.

We know that the total is 300.

\(2x+3x=300\\5x=300\\x=60\)

Ravi has 2 parts:

\(2(60)=120\)

Isha has 3 parts:

\(3(60)=180\)

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.

The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.

To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).

The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.

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Moving the vertices does not affect the relationship between the diagonals. They bisect each other in all cases.

Answer:

Despite changing the vertices, the opposite sides and opposite interior angles of the parallelogram remain equal.

Step-by-step explanation:

PLATO AWNSER

Answer:

Option B.

Step-by-step explanation:

The given function is

\(f(x)=-2\sqrt{x-7}+1\)

The above function is defined if (x-7) is greater than 0.

\(x-7\geq 0\)

Add 7 on both sides.

\(x\geq 7\)

It is means domain of the function is \([7,\infty)\). So, -6 is not in domain.

We know that

\(\sqrt{x-7}\geq 0\)

Multiply both sides by -2. So, the sign of inequality will change.

\(-2\sqrt{x-7}\leq 0\)

Add 1 on both sides.

\(-2\sqrt{x-7}+1\leq 0+1\)

\(f(x)\leq 1\)

It is means range of the function is \((-\infty,1]\). So, -6 is in Range.

Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.

Answer:

B

Step-by-step explanation:

The revenue can be calculated by multiplying the selling price per Frisbee ($7) , company must sell 2000 Frisbees to break even. The answer is option C. 2000.

In the first year, a Frisbee company's operating cost is $10,000 plus $2 for each Frisbee.

The company sells each Frisbee for $7.

The number of Frisbees the company must sell to break even is the point where its revenue equals its expenses.

To determine the number of Frisbees the company must sell to break even, use the equation below:

Revenue = Expenseswhere, Revenue = Price of each Frisbee sold × Number of Frisbees sold

Expenses = Operating cost + Cost of producing each Frisbee

Using the values given in the question, we can write the equation as:

To break even, the revenue should be equal to the cost.

Therefore, we can set up the following equation:

$7 * x = $10,000 + $2 * x

Now, we can solve this equation to find the value of x:

$7 * x - $2 * x = $10,000

Simplifying:

$5 * x = $10,000

Dividing both sides by $5:

x = $10,000 / $5

x = 2,000

7x = 2x + 10000

Where x represents the number of Frisbees sold

Multiplying 7 on both sides of the equation:7x = 2x + 10000  

5x = 10000x = 2000

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The value of x is 4.5

Given that;

H is midpoint of segment GI.

GH = 5x - 1 and GI = 8x + 7

We have to find the value of x.

What is Line segment?

A line segment is a part of a line which have two endpoints.

Since, H is midpoint of segment GI.

Hence, GI = 2 GH

Here, GH = 5x - 1 and GI = 8x + 7

Put the values in above equation we get;

GI = 2 GH

8x + 7 = 2 (5x - 1)

8x + 7 = 10x - 2

10x - 8x = 7 + 2

2x = 9

x = 4.5

So, The value of x is 4.5.

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