$13=2.50+3h
What does h equal?

Answer:

plug in 16 for x

14√x+15 = 71

14√x+15-15 = 71-15 = 56

14√x/14 = 56/14 = 4

√x^2 = 4^2 = 16

The corresponding point in cylindrical coordinates is (1.54, -2.57, 9).

Cylindrical coordinates are given by (ρ, φ, z), where ρ is the distance from the origin to the point in the xy-plane, φ is the angle between the positive x-axis and the line from the origin to the point, and z is the height above the xy-plane. The conversion from cylindrical to rectangular coordinates is given by:
x = ρcos(φ)
y = ρsin(φ)
z = z

Conversely, the conversion from rectangular to cylindrical coordinates is given by:
ρ = sqrt(x^2 + y^2)
φ = arctan2(y, x)
z = z

For example, given the cylindrical coordinates (2, − 3 2, 9), the corresponding rectangular coordinates are:

x = 2cos(- 3 2) = 1.54
y = 2sin(- 3 2) = -2.57
z = 9

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the 60th percentile of breaking strength for this type of fishing line is

k= 6.64

assume that k pounds is the both percentile of breaking strength for this type of finishing line

p( x<k) = 0.60

p( x- 6.44/0.75 < k- 6.44/0.75)= 0.60

then k-6.44 /0.75 = 0.26

thus k= 6.64

Hence , the 60th percentile of breaking strength for this type of fishing line is 6.64

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To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket = (400 - 8p)p

Revenue = 400p - 8p²

For no revenue:

400p - 64p² =  0

p = $0 or p = $50

For revenue of atleast 3200:

400p - 8p² =  3200

p = $10 or p = $40

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

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Answer:

Step-by-step explanation:

It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...

  2(4x² -4x -3)

To factor this, you are looking for factors of (4)(-3) that have a sum of -4.

  -12 = 1(-12) = 2(-6) = 3(-4)

These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.

  = 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)

Of these, the factors that are on your list of choices are ...

Answer:

y = 2x + 3

Step-by-step explanation:

Given:

(2, 7) and (0, 3)

Find the slope between the two points:

(x1, y1) = (0, 3)

(x2, y2) = (2, 7)

(y2 - y1)/(x2 - x1)

(7 - 3)/(2 - 0)

4/2 = 2

m = 2

y = mx + a

y = 2x + a

Use one of the two points to find a (I will use point (2, 7):

7 = 2(2) + a

7 = 4 + a

a = 3

Slope-intercept Form: y = 2x + 3

Point-slope Form: y - 3 = 2x

Point-slope Form: y - 7 = 2(x - 2)

General equation: 2x - y + 3 = 0

Answer:

y = 2x + 12

Step-by-step explanation:

Answer:

minimum=65

maximum=125

median=110

upper quartile=115

lower quartile=90

Explanation:The end of the whisker to the right is the maximum, and the end of the whisker to the left is the minimum. The median is the line in the center of the box. The lower quartile is the first line of the bow, and the upper quartile is the last line of the box.

Answer:

C) 22

Step-by-step explanation:

I have set up an equation based off of what Abraham said.

\((n*4)+12=100\\\\4n+12=100\\\\4n+12-12=100-12\\\\4n=88\\\\\frac{4n=88}{4}\\\\\boxed{n=22}\)

The number should be 22.

Hope this helps.

Hope this helps.

Answer:

C.)22

Step-by-step explanation:

I had this on my Test so yeah

The general solution of the system x'(t) = Ax(t), where A is the given matrix, can be found by solving the system of linear differential equations associated with it.

To find the general solution, we need to solve the system of linear differential equations x'(t) = Ax(t), where x(t) is a vector-valued function and A is the given matrix.

The solution involves finding the eigenvalues and eigenvectors of the matrix A. The general solution will have the form x(t) = c₁v₁e^(λ₁t) + c₂v₂e^(λ₂t) + ... + cₙvₙe^(λₙt), where c₁, c₂, ..., cₙ are constants, v₁, v₂, ..., vₙ are eigenvectors, and λ₁, λ₂, ..., λₙ are eigenvalues of A.

This general solution represents a linear combination of exponential functions, where each term corresponds to an eigenvalue-eigenvector pair. The specific values of the constants are determined by initial conditions or boundary conditions provided in the problem.

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Upton has 4 more sponsors than Clara.

If Upton has 12 sponsors and Clara has 8, Clara cannot have more than Upton so times is not an option. Upton only has 4 more and not times than Clara.

(1) The statement that, "The $2 million is appropriate cash-inflow for the new edition of the book" is False because the cash-inflow is $1.8 million.

(2) The statement that, "Companies should use accounting profits, not cash flows, to make capital budgeting decisions" is False because, companies should focus on cash flows.

Part (1) The $2 million is not appropriate "cash-inflow" for "new-edition" of book. The $2 million represents "expected-sales" revenue from the new edition of "Foundation of Finance," but it does not take into account any costs or expenses associated with producing or marketing the book.

It is mentioned that $200,000 would have been spent on existing past edition of textbook. This expense needs to be deducted from expected sales revenue to determine the appropriate cash inflow.

So, appropriate cash-inflow for the new edition would be $2 million minus $200,000, which equals $1.8 million.

So, the statement is False.

Part (2) : Companies should use cash flows, not accounting-profits, to make capital budgeting decisions. Accounting-profits, also known as net income or earnings, are calculated based on accrual accounting principles and include non-cash items such as depreciation and amortization.

When making capital budgeting decisions, it is essential to consider the actual "cash-flows" generated by an investment project. Cash flows represent the cash inflows and outflows that occur over a specific period, and they are crucial for evaluating the feasibility and profitability of an investment.

Therefore, the statement is False.

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The last option is the correct one.

It could be -10 because -10 is to the right of -13 on the numer line.

We know that normally the temperature in Pittsburgh is -13°F while in Cleveland it is -10°F.

Now we know that in some morning, the temperature of chicago is larger than the one for Pittsburg. So the temperater must be greater than -13°F

That means that any number from -12°F and up can be an accepted value, then the correct option is the last option.

It could be -10 because -10 is to the right of -13 on the numer line.

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Answer:

Step-by-step explanation:

-9(2) - 7 = -18 - 7 = -25

A is the answer

Answer:

the middle points (-1,-3) the answer a

Step-by-step explanation:

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Line 4 because whenever you divide by a negative the sign changes so instead of \(y<20\) it should be \(y>20\).

The root test is inconclusive for the series Σ 1/n8n.

To determine the convergence or divergence of the series Σ 1/n8n using the root test, we need to calculate the limit as n approaches infinity of the nth root of the absolute value of the nth term. In this case, the nth term is 1/n8n.

Calculating the limit, we have lim n→∞ (n√|1/n8n|).

Simplifying the expression inside the absolute value, we get 1/n^8n = 1/n^(8n) = 1/n^(8n) = 1/(nⁿ⁸) = 1/(n⁸ⁿ).

Taking the nth root of the absolute value, we have

n√|1/n⁸ⁿ| = n√(1/(n⁸ⁿ)).

As n approaches infinity, the expression (1/(n^8n)) approaches zero because the denominator, n⁸ⁿ, grows much faster than the numerator, 1. Therefore, the nth root of the absolute value approaches 1.

Since the limit is equal to 1, the root test is inconclusive. The root test does not provide sufficient information to determine whether the series

Σ 1/n8n is convergent or divergent.

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

7. .44

8. .009

Step-by-step explanation:

7. 44 ÷ 100 = .44

8. 9 ÷ 1000 = .009

Answer:

12

12 inches in one foot.

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

Car A has the best fuel efficiency as it gives 80 km/liter which is far better than car B and car C.

Fuel efficiency is expressed as a measurement of how much a car will transform power in fuel into kinetic energy to travel. Fuel efficiency indicates how distant your car can travel with a specific amount of fuel.

To determine fuel efficiency, we need to calculate the number of kilometers toured for each car.

Car A =  80 km / 1 liter

Car A = 80 km/liter

Car B = 110110110 km / 101010 liters

Car B = 1.089 km/liter

Car C =727272 km / 666 liters

Car C = 1.092 km/liter

Therefore we can conclude that Car A has the best fuel efficiency.

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The complete question is-

Select the car that has the best fuel efficiency.

Car A's journey is 80km to 1 liter.

Car B's journey is  110110110 km to 101010 liters

Car C's journey is  727272  km to 666 liters

The general solution to the given Cauchy-Euler equation for t > 0 is:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Let's consider the given Cauchy-Euler equation for t > 0:

t²(d²y/dt²) + 2t(dy/dt) - 20y = 0

To solve this equation, we can assume a solution of the form y(t) = tⁿ, where r is a constant to be determined.

Now, let's find the derivatives of y(t) with respect to t:

dy/dt = rtⁿ⁻¹ d²y/dt² = r(r-1)tⁿ⁻²

Substituting these derivatives back into the Cauchy-Euler equation, we get:

t²(r(r-1)tⁿ⁻²) + 2t(rtⁿ⁻¹) - 20tⁿ = 0

Simplifying this equation, we have:

r(r-1)tⁿ + 2rtⁿ - 20tⁿ = 0

Factoring out tⁿ, we get:

tⁿ [r(r-1) + 2r - 20] = 0

Since t > 0 for the given equation, we can divide both sides of the equation by tⁿ to obtain:

r(r-1) + 2r - 20 = 0

Expanding and rearranging this equation, we get:

r² + r - 20 = 0

Now, we can solve this quadratic equation for r. Factoring it, we have:

(r + 5)(r - 4) = 0

Setting each factor equal to zero, we find two possible values for r:

r + 5 = 0, which gives r = -5 r - 4 = 0, which gives r = 4

These values of r represent the roots of the characteristic equation associated with the Cauchy-Euler equation. Since we have two distinct roots, the general solution to the Cauchy-Euler equation can be written as a linear combination of the corresponding solutions:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Where C1 and C2 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.

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Answer:

23

Step-by-step explanation:

15% of 20 = 3  then add the 3 to the 20 to get 23

23Answer:

Step-by-step explanation:

15/100*20 = 3

20+3 = 23

Answer:

3.935 x 10^5.

Step-by-step explanation:

There are five digits after the first 3 so  it will be 10^5.

The answer is 3.935 x 10^5.

393500 equals 3.935×10⁵

If we write xⁿ then we mean to say that x is multiplied n times.

The exponent of a number says how many times the number is multiplied by itself.

393500=3.935×100,000=3.935×10⁵

Hence, 393500=3.935×10⁵

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Answer: 2^n-1

Step-by-step explanation: You did not provide a full answer but I hope this is correct for you.

Answer:

2−1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

7^2 +4^2=65 hope this helps

Answer:

C.

\(\sqrt{65}\)

Step-by-step explanation:

\((-9,-6)=(x_1,y_1)\\(-2,-2)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(-2-(-9))^2+(-2-(-6))^2} \\\\d = \sqrt{(-2+9)^2+(-2+6)^2} \\\\d = \sqrt{(7)^2+(4)^2}\\ \\d = \sqrt{49+16}\\ \\d = \sqrt{65}\)

The maximum value of the function f(x) = -2(x-1)(2x+3) is 7.5625.

To find the maximum value of the function f(x) = -2(x-1)(2x+3), we can determine the vertex of the quadratic function. The maximum value occurs at the vertex of the parabola.

First, let's expand the function:

f(x) = -2(x-1)(2x+3)

= -4x² - 10x + 6

We can see that the function is in the form of ax^2 + bx + c, where a = -4, b = -10, and c = 6.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a).

Substituting the values, we have:

x = -(-10) / (2 ) (-4)

x = 10 / -8

x = -5/4

To find the corresponding y-coordinate (maximum value), we substitute this x-value back into the function:

f(-5/4) = -4(-5/4)² - 10(-5/4) + 6

= -4(25/16) + 50/4 + 6

= -25/4 + 50/4 + 6

= (50 - 25 + 96)/16

= 121/16

= 7.5625

Therefore, the maximum value of the function f(x) = -2(x-1)(2x+3) is 7.5625.

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Answer: 4s place

Also could you mark my answer as brainliest? It helps and doesnt hurt