A company has spent 15 hours working on a project, and they estimate that they
only have 5% of the project done. How long will the whole project take?

Answer:

14

Step-by-step explanation:

\(angle \: b = angle \: c \: thus \: ab = ac\)

\(2x = 3x - 7 \\ 2x - 3x = - 7 \\ - x = - 7 \\ x = 7\)

\(ac = 3x - 7 = 14\)

At the age of 89, Roy has outlived the life expectancy for black men in the united states by 17.2 years

The current age of Roy = 89 years old

The life expectancy for black men = 71.8 years

The life expectancy average number of years that a person lives. Usually they calculate the life expectancy in a group of people living in a particular area like district, states and countries

The difference = The current age of Roy - The life expectancy for black men

Substitute the values in the equation

The difference = 89 - 71.8

Subtract the terms

= 17.2 years

Therefore, the Roy has outlived the life expectancy for black men by 17.2 years

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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15 is the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

Given data

45 hotdogs in 30 individual bags of chips

The greatest common factor of 45 and 30 is 15

using ratio

45 : 30

3 : 2

This means that one person will receive 3 hotdogs in 2 bags. Also 15 people will get the equal amount without left overs

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complete question

Amari and Ethan planned an end of season soccer party to purchase 45 hotdogs in 30 individual bags of chips which person will receive the same amount of food what is the greatest number of people they can be without having any leftovers

Answer:

solution,

5x-6y+z+5x-6y-z

(+z and -z will be cancelled)

now,

5x+5x-6y-6y

10x+ 12y( because 2 minus makes plus)

Answer:

C. 2

Step-by-step explanation:

2y and 0,0 are the same

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

----------------------------------------------------------------------------------------------------------------

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

Answer:

d and e hope this helped have a great day

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

You can subsititute p with a random number and check if the equation works! Hope thsi helps :)

The price of one slice of pizza is $3.5, and the price of one drink is $3.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let x be the price of one slice of pizza and y be the price of one drink.

The system of equations can be written as:

3x + 2y = 16.50

4x + 4y = 26

To find the price of one slice of pizza and the price of one drink, we can use the substitution or elimination method.

After solving the equation for x and y we get the values as:

x = 3.5 and y = 3

So, the price of one slice of pizza is $3.5, and the price of one drink is $3.

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Answer:

IPS!!!! I am supposed to be OFF my COMPUTER by now!!!!  

But, since you are one of my favorites.... I will do this one last thing for you this evening!  

You're welcome!  

You are doing a fantastic job in your courses by the way!  I'm proud of you!

Step-by-step explanation:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

Surface Area varies by object/shape.

Ask your teacher/learning helper for those formulas of surface area

Step-by-step explanation:

Surface area is the sum of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Therefore, the Taylor polynomial T₃(x) for the function f(x) = e^(-3x) * sin(2x) centered at a = 0 is given by T₃(x) = -3x - 6x² - 6x³.

To find the Taylor polynomial T₃(x) for the function f(x) = e^(-3x) * sin(2x) centered at a = 0, we need to calculate the derivatives of f(x) at x = 0 and use them to construct the polynomial.

First, let's find the derivatives of f(x):

f(x) = e^(-3x) * sin(2x)

f'(x) = (-3e^(-3x) * sin(2x)) + (2e^(-3x) * cos(2x))

= e^(-3x) * (-3sin(2x) + 2cos(2x))

f''(x) = e^(-3x) * (9sin(2x) - 12cos(2x))

f'''(x) = e^(-3x) * (-27sin(2x) - 36cos(2x))

Next, let's evaluate these derivatives at x = 0:

f(0) = e^0 * sin(0) = 0

f'(0) = e^0 * (-3sin(0) + 2cos(0)) = -3

f''(0) = e^0 * (9sin(0) - 12cos(0)) = -12

f'''(0) = e^0 * (-27sin(0) - 36cos(0)) = -36

Now, we can construct the Taylor polynomial T₃(x) using the derivatives:

T₃(x) = f(0) + f'(0)(x - a) + f''(0)(x - a)²/2! + f'''(0)(x - a)³/3!

= 0 - 3x + (-12)(x - 0)²/2! + (-36)(x - 0)³/3!

Simplifying further:

T₃(x) = -3x - 6x² - 6x³

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Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

2π r = Circumference formula

2π r = 18

r = 18/2π

r= 2.86cm

Hope this helps :)!

I'd appreciate if you'd mark me brainliest because ive been stuck on the same rank for wayyy too long :(

Goodluck! :)

Answer:

2.87 is the approximate radius

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

18 = 2 pi r

Divide each side by 2pi

18/2pi = 2 pir/ 2pi

9/pi = r

Letting pi be approximated by 3.14

9/3.14 = r

2.866242038

2.87 is the approximate radius

Answer:

\(x = ln(2 - 1) \)

Answer:

y = -3x - 11

Step-by-step explanation:

Slope = -3

so...

-3x

y = -3x + (b)

given : (-5, 4) x=-5 y=4

4 = -3(-5) + b

4 = 15 + b

b = -11

so...

y = -3x - 11

The correct answer is Point A onto Point D, and AB onto DE.Since the triangles are congruent, we know that they have the same shape and size.

what is  congruent?

In mathematics, congruent means having the same size and shape. In geometry, two figures are congruent if they have the same size and shape, which means that all corresponding sides and angles are equal.

In the given question,

Based on the given information, we know that triangle ABC and triangle DEF are distinct acute triangles such that ZBZE. We are also told that AABC is congruent to ADEF, and we need to determine which sequence of rigid motions maps the triangles onto each other.

The correct answer is Point A onto Point D, and AB onto DE.

Since the triangles are congruent, we know that they have the same shape and size. Therefore, we need to find a sequence of rigid motions that will map one triangle onto the other.

The first step is to map point A onto point D, which can be done with a translation. The second step is to map AB onto DE, which can be done with a rotation about point D. This sequence of rigid motions will map triangle ABC onto triangle DEF.

Option 1, ZA onto ZD and ZC onto ZF, does not necessarily map the rest of the triangles onto each other.

Option 2, AC onto DF and BC onto EF, is incorrect because it only maps two sides of the triangle and does not guarantee congruence.

Option 4, ZC onto ZF and BC onto EF, also does not necessarily map the rest of the triangles onto each other.

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70° is the angle.

every triangle has a total of 180°, therefore 180-80-30=70°

Angle size calculation refers to the use of geometrical laws and invariants to find out how many degrees an angle is. Therefore, it is different from angle size measurement, which includes the use of a protractor or other tools to come up with the result. Calculating an angle's size demands knowledge of complementary, supplementary, and adjacent angles, as well as the properties of geometric shapes.

Subtract the given supplementary angle (its value in degrees) from 180 to calculate the size of the angle in question. Supplementary angles, or straight angles, are those whose sum adds up to 180 degrees.

Repeat the process, this time subtracting the given angle from 90, to calculate the size of an unknown complementary angle. Complementary angles, or right angles, are those summing up to 90 degrees.

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Answer:

Ms.Sikes pay 7.95 each month

Step-by-step explanation:

you divide 95.40 by 12 which equals 7.95

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

12 months = 95.40

1 month = 7.95

The amount paid monthly is 7.95.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

12 ÷ 4 is an expression.

3x + 4x = 5 is an expression.

2x3 - 4 is an expression.

We have,

Ms. sikes paid a total of 95.40 for 12 months magazine subscription.

This means,

12 months = 95.40

Divide 12 on both sides.

1 month = 7.95

This means,

The monthly amount is 7.95

Thus,

12 months = 95.40

1 month = 7.95

The amount paid monthly is 7.95.

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Answer:

The first option so \((3\frac{1}{2}, -4)\) is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: \((3\frac{1}{2}, -4)\) since this answer best matches the coordinate values of that point.

==================================================================

Select the first option, have a nice day! :D

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

To find the values of T, N, and a for the given space curve, we can use the formulas:

T = r'(t) / ||r'(t)||

N = T'(t) / ||T'(t)||

Given r(t) = (cos(t) + t*sin(t))i + (sin(t) - t*cos(t))j + 5k, we can differentiate to find r'(t):

r'(t) = (-sin(t) + sin(t) + t*cos(t))i + (cos(t) - cos(t) - t*sin(t))j + 0k

      = t*cos(t)i - t*sin(t)j

Next, we calculate the magnitude of r'(t):

||r'(t)|| = \(sqrt((t*cos(t))^2\) + (-t*\(sin(t))^2\))

          =\(sqrt(t^2*cos^2(t) + t^2*sin^2(t))\)

          = \(sqrt(t^2*(cos^2(t) + sin^2(t)))\)

          = sqrt(\(t^2)\)

          = |t|

Now we can find T:

T = r'(t) / ||r'(t)||

 = (t*cos(t)i - t*sin(t)j) / |t|

 = (cos(t)i - sin(t)j)

Next, we differentiate T to find T':

T' = (-sin(t)i - cos(t)j)

Now we can find N:

N = T'(t) / ||T'(t)||

 = (-sin(t)i - cos(t)j) / sqrt(\((-sin(t))^2\) + (-cos(t))^2)

 = (-sin(t)i - cos(t)j) / sqrt(\(sin^2(t)\) + \(cos^2(t\)))

 = (-sin(t)i - cos(t)j) / sqrt(1)

 = (-sin(t)i - cos(t)j)

Finally, we can write a in the form a = \(a_{T}\) + \(a_{NN}\) at the given value of t without finding T and N:

For r(t) = (3t+\(1^3)\)j, the coefficient of T is zero, so \(a_{T}\) = 0.

The coefficient of N is (3t\(+1^3)\), so \(a_{N}\) = 3t+\(1^3.\)

Thus, at t = 1, we have:

a(1) = \(a_{T}\) + \(a_{NN}\)

     = 0 + \((3(1)+1)^{3N}\)

     = \(4^{3N}\)

     = 64N

Therefore, at t = 1, a(1) = 64N.

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Answer:

* Rounded answer is 78 miles

Answer:

10 + 30

Step-by-step explanation:

10-1(-30)

10+1(30)

10+30

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

\(P(A \cap B) = P(A)P(B)\)

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

Hence:

\(p = 0.55(0.6) + 0.45(0.4) = 0.51\)

Thus, option c is correct.

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The inverse function of f(x) = 3(x - 2)³ is f-1(x) = 2 + ∛(x/3)

From the question, we have the following parameters that can be used in our computation:

f(x) = 3(x - 2)³

Rewrite as

y = 3(x - 2)³

Swap x and y

So, we have

x = 3(y - 2)³

Divide by 3

(y - 2)³ = x/3

So, we have

y = 2 + ∛(x/3)

So, the inverse function is f-1(x) = 2 + ∛(x/3)

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Answer:

28-14\(\sqrt{3}\)

Step-by-step explanation: Step 1\(\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }\) Step 2 \(\frac{14(2-\sqrt{3}) }{1}\) ANSWER = 28-14\(\sqrt{3}\)

Answer:

7

Step-by-step explanation:

Drag one of the arrows from -6 to 7