Question 9 of 10
In the diagram below, AB is parallel to CD. What is the value of y?
A. 50
OB. 150
ООО
C. 30
D. 60

Answer:

Explanation:

An exponential decay function is generally given in the below;

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

When t = 8, let's go ahead and solve for y;

The answers to the trigonometric prompts are:

1)

1.1) -0.15

1.2) 0.87

2)

2.1) x = 60°

2.2) x = 70.54°

3) k = 1

1.1 To calculate the value of Tan^2 (316.4 degrees - 212.6 degrees), we first need to find the difference between the two angles:

316.4 degrees - 212.6 degrees = 103.8 degrees

Then, we can use the identity Tan^2 (A - B) = [Tan(A) - Tan(B)]/[1 + Tan(A) Tan(B)] to get:

Tan^2 (316.4 degrees - 212.6 degrees) = [Tan(316.4 degrees) - Tan(212.6 degrees)]/[1 + Tan(316.4 degrees) Tan(212.6 degrees)]

Using a calculator, we get:

Tan(316.4 degrees) ≈ -1.378

Tan(212.6 degrees) ≈ 1.378

So, substituting these values into the above equation, we get:

Tan^2 (316.4 degrees - 212.6 degrees) ≈ [(-1.378) - 1.378]/[1 + (-1.378)(1.378)] ≈ -0.19

Therefore, Tan^2 (316.4 degrees - 212.6 degrees) ≈ -0.19

1.2 To calculate the value of 2Sin(2x 103.4 degrees), we can use the double angle formula for sine:

2Sin(2x 103.4 degrees) = 2(2Sin(103.4 degrees)Cos(103.4 degrees))

Using a calculator, we get:

Sin(103.4 degrees) ≈ 0.974

Cos(103.4 degrees) ≈ -0.226

Substituting these values into the above equation, we get:

2Sin(2x 103.4 degrees) ≈ 2(2(0.974)(-0.226)) ≈ -0.88

Therefore, 2Sin(2x 103.4 degrees) ≈ -0.88

2.1 To solve the equation 2cos(x) = 1, we can first isolate cos(x) by dividing both sides by 2:

cos(x) = 1/2

To find the solutions in the given interval [0 degrees; 90 degrees], we can use the inverse cosine function (cos^-1) and find the principal value:

cos^-1(1/2) ≈ 60 degrees

Therefore, the solution to the equation 2cos(x) = 1 in the interval [0 degrees; 90 degrees] is x = 60 degrees.

To find the value of k in the equation k.sin 60 degrees = (2 cos 30 degrees)/tan 45 degrees, we can use the values of sin 60 degrees, cos 30 degrees, and tan 45 degrees:

sin 60 degrees = √3/2

cos 30 degrees = √3/2

tan 45 degrees = 1

Substituting these values into the given equation, we get:

k(√3/2) = (2 √3/2)/1

Simplifying, we get:

k = 2

Therefore, the value of k is 2.

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Answer:

denki

because..... pika pika

Answer:

Todoroki Shoto

Todoroki Toya (Dabi)

Takami Keigo

Aizawa Shota (Eraser)

Yamada Hizashi (Mic)

Kayama Nemuri

Bakugo Katsuki

Eijiro Kirishima

Amajiki Tamaki

Hado Nejire

Kendo Itsuka

Jiro Kyoka

Ashido Mina

Kaminari Denki

Shimura Tenko (Shigaraki Tomura)

Kurogiri (Orobo Shimakuro)

Tokoyami Fumikage

Toga Himiko

(Pls don't hate me if I didn''t say deku or uraraka they just aren't my favs and everyone has their own opinions ;w; also i just typed them like that they are in no particular order)

-- Koda

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

The angle be 5x - 12 and 3x - 8 then the value of x  = 25.

The angle created by the two rays or arms at a shared vertex is known as the angle measure in geometry.

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

A protractor is a precision tool for measuring angles. Angles are measured in degrees, therefore the term "degree measure." Because one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

Let the two angle be 5x - 12 and 3x - 8

5x + 3x - 12 - 8 = 180

Add similar elements: 5x + 3x = 8x

8x - 12 - 8 = 180

Subtract the numbers: -12 - 8 = -20

8x - 20 = 180

Move 20 to the right side

8x = 200

Divide both sides by 8

= 8x / 8 = 200 / 8

x  = 25

Therefore, the value of x  = 25.

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Answer:

\(5*\frac{1}{2}\)

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

The cost of each water bottle is $1.5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Amanda has $30.00. After buying 15 water bottles, she had $7.50 left.

Money used to buy water bottles = 30-7.50

= $22.5

Cost of each water bottle = 22.5/15

= $1.5

Therefore, the cost of each water bottle is $1.5.

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Step-by-step explanation:

The equation is   sinθ * cosθ - sinθ = 0

θ = 0 + 2kπ

θ = 2kπ where k is any integer

The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

Hence, the correct option is C.

The given equation is:

sin theta × cos theta - sin theta = 0

We can factor out the sine theta:

sin theta (cos theta - 1) = 0

This means that either sin theta = 0 or cos theta - 1 = 0.

If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.

If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.

Therefore, the solutions to the equation are:

{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

So the answer is C.

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The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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The company made 900 widgets in one hour

3,600 widgets in 4 hours

therefore 3,600 / 4 for one hour = 900 widgets

900 widgets in one hour.

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Answer:

The zeros of ƒ(x) are 4, 1, and -2.

Answer:

A. The net present value (NPV) of this investment is approximately $7,115 when rounded to the nearest dollar.

B. The net present value is positive, which means that the investment is expected to generate more cash inflows than its initial cost. Therefore, I would recommend that Ham and Egg invest in this oven. The positive NPV indicates that the investment should provide a return above the required rate of return of 5%.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

A. Compute the net present value of this investment. Round your present value factor to three decimal places and your final answer to the nearest dollar. The net present value of the investment can be determined using the formula: NPV = PV of cash inflows - PV of cash outflowswherePV = Present ValueNPV = Net Present ValueWe can determine the PV of cash inflows for the first 8 years using the formula: PV = FV/(1+r)n where FV = Future Value = $9,920n = Number of years = 8r = Required rate of return = 5%We can use the Present Value of an Annuity table to determine the present value factor for 8 years at a 5% discount rate. The factor is 6.71008. Using this, we can calculate the present value of cash inflows as: PV of cash inflows = $9,920 x 6.71008= $66,806.22The PV of cash outflows is simply the cost of the oven, which is $57,000.NPV = $66,806.22 - $57,000 = $9,806.22Rounding this to the nearest dollar, we get the net present value of the investment as $9,806.B. Determine whether or not you would recommend that Ham and Egg invest in this oven.Since the NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven. The NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

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Answer:

I assume you meant (-1/3)(6x + 15) - 3 = ?

(-1/3)(6x + 15) - 3 = (-1/3)(6x) + (-1/3)(15) - 3 = -2x - 5 - 3 = -2x - 8

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

x^-2 = 1/x^2  Let x = -2      1/ (-2)^2 = 1/4

x^-1 = 1/x^1  Let x = -2      1/ (-2)^1 = 1/(-2) = -1/2

x^0 = 1  

x^1 = x  Let x = -2      (-2)

x^2 =   Let x = -2      (-2)^2 = 4

Answer:

1)¼

2)½

3)1

4)2

5)4

Step-by-step explanation:

recall that,

\( \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } \)

we want to evaluate \(x^{-2}\) for x=-2

to do so substitute the given value of x

\( \displaystyle {2}^{ - 2} \)

apply the formula:

\( \displaystyle {2}^{ - 2} = \frac{1}{ {2}^{2} } \)

simplify square:

\( \displaystyle {2}^{ - 2} = \boxed{\frac{1}{ 4} }\)

likewise substitute the given value of x to x^-1:

\( \displaystyle {2}^{ - 1} \)

apply the formula:

\( \displaystyle {2}^{ 1} = \frac{1}{ {2}^{1} } \)

\( \displaystyle {2}^{ 1} = \boxed{\frac{1}{ {2}^{} } }\)

substitute the value of x

\( \displaystyle {2}^{ 0} \)

it's a universal truth that x⁰=1 Thus

\( \displaystyle \boxed{1}\)

Substitute the given value of x to x¹ and x² respectively

\( \displaystyle {2}^{ 1} \quad \bigg | \quad {2}^{2} \)

simplify:

\( \displaystyle \boxed{2} \quad \bigg | \quad \boxed4\)

and we're done!

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Hi!

Lets walk through this together.

Lets start with the top.

4-8 is -4.

what that line is- its pretty much telling you to divide.

-4 divided by 3 is -1.3~ (infinant 3's)

-1.3~ Is your answer. Hope this helps!

Answer:

length is 45, width is 9.

Step-by-step explanation:

5+5+1+1=12

108/12=9 (width)

9*5= 45(length)

45+45+9+9= 108

Answer: the length of a rectangle is 45 cm,

               the width of a rectangle is 9 cm.

Step-by-step explanation:

Let the width of a rectangle is  x.

Hence, the length of a rectangle is 5*x.

P=2*(x+5x)

108 =2*6x

108=12x

Divide both parts of the equation by 12:

9 cm=x

5*9 cm=5*x

45 cm=5x

Answer:

16

Step-by-step explanation:

A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Answer:

10

Step-by-step explanation:

The equations that show the properties of the exponents are a, c and d.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We know that there are few properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.

1) when we have

\((ab)^x\), it is the same as \(a^x b^x\)

2) When we have \(b^2 \times b^x\), it is the same as b² + x

3) When we have; x^-2, it is the same as 1/x²

These are the basics of the properties of the exponents as we can conclude in the question and these obey the properties of the exponents.

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The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.

Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

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The statement 'double *num2;' declares a pointer variable named num2.

The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.

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Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

\(Scale = 5\ inches : 8\ feet\)

Represent the width of the actual gym with w, so, we have the following equivalent ratio

\(45\ inches : w = 5\ inches : 8\ feet\)

Cancel out the common units

\(45: w = 5: 8\ feet\)

Express as fraction

\(\frac{45}{w} = \frac{5}{8\ feet}\)

Cross multiply

\(5w = 45 \times 8\ feet\)

Divide both sides by 5

\(w = 9\times 8\ feet\)

\(w = 72\ feet\)

Hence, the width of the actual gym is 72 feet

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Step-by-step explanation:

The general solution of the differential equation can be found as follows:

dQ/dx = k/x^2

Integrating both sides, we get:

Q = k * ln|x| + C

where C is the constant of integration.