How many lines appear in a square

Answer:

D

Step-by-step explanation:

Because the position/order of the letters match on both triangles.

O = D

Z = F

W = E

Therefore, OZW ~ DFE.

ΔOZW and ΔDFE are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

In triangles ΔOZW and ΔDFE,

Angle ∠O = Angle ∠D

Angle ∠Z = Angle ∠F

Angle ∠W = Angle ∠E

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔOZW and ΔDFE are similar triangle due to equal pair of corresponding angles.

Hence, ΔOZW ~ ΔDFE

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Answer:

Yes

Step-by-step explanation:

2B+B=3b and 3b and 3b are the same.

Thus, they have the same value

Answer:

ju5667

Step-by-step explana

Answer:y=(-2x+1) (x+1)

Step-by-step explanation:

2x+y=-2x^2 +3x+1

y=-2x^2+x+1

y=-2x^2 -2x+x+1

y=-2x(x+1) +1(x+1)

y=(-2x+1) (x+1)

Answer:

(3,-4)

Step-by-step explanation:

QI=(+,+)

QII=(-,+)

QIII=(-,-)

QIV=(+,-)

Answer:

(3,-4)

Step-by-step explanation:

you are roating the triangle down (across the y-axis) and then moving to the right (across the x-axis). I hope this helps!

The approximate angle of inclination of the sun is 49.19 degrees.

To determine the approximate angle of inclination of the sun, we can use trigonometry.

The angle of inclination is the angle between the ground and the direction of the sun's rays.

Let's assume that the building is vertical and the shadow it casts is also vertical.

In this case, we can create a right triangle with the building height as the height of the triangle and the shadow length as the base of the triangle.

Using the trigonometric function tangent (tan), we can calculate the angle of inclination (θ) as:

tan(θ) = opposite/adjacent

Here, the opposite side is the height of the building (15 feet) and the adjacent side is the length of the shadow (12 feet).

tan(θ) = 15/12

To find the angle θ, we can take the arctan (inverse tangent) of both sides:

θ = arctan(15/12)

Using a calculator or a trigonometric table, we find that arctan(15/12) is approximately 49.19 degrees.

Therefore, the approximate angle of inclination of the sun is 49.19 degrees.

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The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.

These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.

This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.

These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.

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Yes, there will be a collision between Speedy Sue's car and the slow-moving van in the tunnel. The collision will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

To determine whether there will be a collision, we need to calculate the time it takes for Speedy Sue to reach the van and compare it with the time it takes for the van to exit the tunnel.

First, we calculate the time it takes for Sue to reach the van. The relative velocity between Sue and the van is (33.0 m/s - 5.40 m/s) = 27.6 m/s. Using the formula time = distance / velocity, the time it takes for Sue to reach the van is approximately 175 m / 27.6 m/s ≈ 6.34 seconds.

Next, we calculate the time it takes for the van to exit the tunnel. The distance the van needs to travel to exit the tunnel is the sum of the distance from its initial position to the end of the tunnel and the distance Sue needs to travel to reach the end of the tunnel. The total distance is 175 m + 175 m = 350 m. The velocity of the van is 5.40 m/s. Using the formula time = distance / velocity, the time it takes for the van to exit the tunnel is approximately 350 m / 5.40 m/s ≈ 64.81 seconds.

Since 6.34 seconds is less than 64.81 seconds, Sue will collide with the van before it exits the tunnel. To determine the distance into the tunnel where the collision occurs, we subtract the distance Sue travels in 6.34 seconds from the initial distance between Sue and the van. The distance Sue travels is (33.0 m/s - 1.90 m/s^2 * 6.34 s^2 / 2) * 6.34 s ≈ 146.5 meters.

Therefore, the collision between Sue's car and the van will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

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Answer:

T= 3+F where T is Tony's age and F is Frank's age

Step-by-step explanation:

Well Tony's age can be represented by

T= 3+F where T is Tony's age and F is Frank's age

Hope that Helps!

Answer:

Your question is not proper we need one more number to represent Tony's age

Sample size n= 601 (rounded up) needed for 90% confidence, 4% margin of error, assuming p=0.5.

To conclude the model size expected to measure a general population degree with a security cradle at 90% conviction, we can use the condition:

n = \((z^2 * p * q)/E^2\)

Where:

n is the model size

z is the z-score

p is the surveyed people degree

q is 1-p

E is the ideal wellbeing cradle

we can expect a protected estimate for p of 0.5, which grows the model size.

Expecting a security cushion of 4%, we have:

n = \((1.645^2 * 0.5 * 0.5)/0.04^2\)

n ≈ 600.25

We need a model size of something like 601 to get a space for compromise of 4% at 90% sureness, assembling to the accompanying whole number.

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Step 1

Given;

Required; To find the price per ounce

Step 2

State the ratio that can be used to find the price per ounce of the candy bars.

Dividing the given equation by 25 we get:

Applying the natural logarithm to the above equation we get:

Finally, solving for x we get:

Answer: Option A.

Answer:

1/6

Step-by-step explanation:

Given;

Luis is going to roll a six-sided die. What is the probability that the die lands on the number 4?

Solve:

Six-sided die = 6

There are only one 4 in the six-sided die.

Hence, fraction = \(\frac{1}{6}\)

~Lenvy~

AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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The best fit quadratic polynomial for the given data is f(x) = -1/2 x^2 + 5/2 x - 3.

Best fit quadratic polynomial for the given data:

We can use the method of least squares to find the best fit quadratic polynomial for the given data. This involves finding the quadratic function of the form f(x) = ax^2 + bx + c that minimizes the sum of the squared errors between the function and the given data points.

To find the coefficients a, b, and c, we need to solve the following linear system of equations:

Σxi^4 a + Σxi^3 b + Σxi^2 c = Σxi^2 yi

Σxi^3 a + Σxi^2 b + Σxi c = Σxi yi

Σxi^2 a + Σxi b + Σi = Σyi

where xi and yi are the coordinates of the given data points.

Substituting the values of the given data points into the above system, we get:

10a - 4b + 3c = -17

-4a + 2b - c = -5

-2a - b + 5c = -8

Solving the above system, we get:

a = -1/2, b = 5/2, c = -3

Therefore, the best fit quadratic polynomial for the given data is f(x) = -1/2 x^2 + 5/2 x - 3.

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Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

Answer:

D. word count has no apparent relationship to the score of the essay

Step-by-step explanation:

ya its D ANYWAYSSSSSS

The measure of arc or angle are:

1. <BCD = 50

2. 60

3. arc UW = 60

4. arc KM = 114

15) The measure of ∠BCD

= 1/2arc BC

= (360° -260°)/2

= 50°

16) As, ∠K is supplementary to minor arc JL

= 180° -120°

= 60°

17) We can see that ∠V is half the difference of arc TW and arc UW.

(198° - UW)/2 = 69°

198° -138° = UW

UW = 60°

18) Now, ∠L is supplementary to short arc KM

KM = 180° -66°

KM = 114°

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The total value of the investment at maturity is $1200

The given parameters are

Principal, P = $1000

Rate, r = 5%

Time, t = 4 years

The total amount is calculated as:

A = P + PRT

So, as have

A = 1000 + 1000 * 5% * 4

Evaluate

A = 1200

Hence, the total value of the investment at maturity is $1200

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The Maclaurin series for the function f(x) = x cos(9x) is given by the sum of the terms from n = 0 to infinity, where each term is given by (-1)^n * (9^n * x^(2n+1)) / (2n+1)!.

The Maclaurin series expansion of a function is a way to approximate the function using a power series centered at x = 0. In this case, we want to find the Maclaurin series for the function f(x) = x cos(9x).

To obtain the Maclaurin series, we start by writing the general term of the series. The general term of the Maclaurin series for cos(9x) is given by (-1)^n * (9^n * x^(2n)) / (2n)!.

Next, we multiply the general term of cos(9x) by x to incorporate the x factor in the function f(x). This gives us (-1)^n * (9^n * x^(2n+1)) / (2n)!.

Finally, we sum up all the terms from n = 0 to infinity to obtain the Maclaurin series for f(x). The series is represented by the sigma notation: Σ (-1)^n * (9^n * x^(2n+1)) / (2n)!.

The Maclaurin series expansion provides an approximation of the original function f(x) = x cos(9x) for values of x near 0. The more terms we include in the series, the more accurate the approximation becomes.

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Answer:

2

Step-by-step explanation:

If shes running half of a mile, (2/4) than she ran 2 out of 4 laps

Answer:

One lap.

Step-by-step explanation:

If she ran half of a mile (2/4) and each lap is half of a mile (4/8) than she only had to run one lap.

Answer:

AAS

Step-by-step explanation:

According to given information, answer is \(x = 2/3\).

The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).

Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).

We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).

Observe that 64 is equal to \(4^3\).

So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)

Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)

Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.

\(16 * 4^{(x - 2)} = 4^{(-6x)}\)

\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)

\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)

\(2^{(2x)} = 2^{(-6x)}\)

\(2^{(2x + 6x)} = 12x\)

Hence, \(x = 2/3\).

Answer: \(x = 2/3\).

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The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.

(a) Calculation of the interest rate you will be paying every month:

Given:

The car will cost = $150,000

Amount to be paid upfront = 40%

Interest rate per annum = 2%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60

Interest Rate = (15000 + 150000) / 60

Interest Rate ≈ $2,583.33

Therefore, the interest rate that you will be paying every month is approximately $2,583.33.

(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?

Given:

Interest rate per annum = 3%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60

Interest Rate = (22500 + 150000) / 60

Interest Rate ≈ $2,916.67

The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.

(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?

Let x be the interest rate that the lender must charge.

Using the formula of compound interest, we can find the interest charged by the lender as follows:

150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)

150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000

(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000

(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667

Taking the natural logarithm on both sides:

60(x/12) = ln[(1.0016667)^(60) + 0.066667]

x ≈ 2.31%

Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.

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1. Perpendicular lines

2. True variable

3. Sequence

4. Slope

5. Solution

6. Term

7. variable

Given,

1. Lines that intersect to form right (90 degree) angles – perpendicular lines

2. How the dependent variable changes with respect to the independent variable – true variable

3. A set of numbers that follow a pattern, with a specific first number – sequence

4. The rate of change of a line; change in y over change in x; rise over run – slope

5. A value or values of the variable that make an algebraic sentence – solution

6. An individual quantity or number in a sequence- term

7. A letter or symbol used to represent an unknown rate of change – variable

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At 5% rate the account been earning interest.

Given that Ruby has saved $4072.24, and she initially invested $2500, we can plug in these values into the formula:

4072.24 = 2500(1 + r/1\()^{(1 )(10)\)

Simplifying the equation, we get:

(1 + r)¹⁰ = 4072.24/2500

Taking the 10th root of both sides, we have:

1 + r = (4072.24/2500\()^{(1/10)\)

Subtracting 1 from both sides, we find:

r = (4072.24/2500\()^{(1/10)\)- 1

r = 1.05000008852 - 1

r = 0.05000008852

r = 5%

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Answer:

when X=1 y = -9/2

Step-by-step explanation:

\( - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} \)

Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°