Can you help me please

Answer:

-2

Step-by-step explanation:

f(-2) = -(-2) - 4

= 2-4

= -2

Answer:

5

Step-by-step explanation:

The interval in which the solution of the given initial value problem is certain to exist is t > 3. We can use the existence and uniqueness theorem for first-order differential equations.

The existence and uniqueness theorem states that if a differential equation is of the form y' = f(t, y) and the function f(t, y) and its partial derivative with respect to y, ∂f/∂y, are continuous on some rectangular region R = {(t, y) : |t - t0| ≤ a, |y - y0| ≤ b}, where (t0, y0) is the initial point, then there exists a unique solution y(t) that passes through the initial point and is defined on an interval containing t0.

In this case, the given differential equation is:

(t − 3)y′ (ln t)y = 2t

Comparing with y' = f(t, y), we have:

f(t, y) = (2t)/((t - 3)ln t)y

To apply the existence and uniqueness theorem, we need to check that f(t, y) and its partial derivative with respect to y, ∂f/∂y, are continuous on some rectangular region R that contains the initial point (1, 2).

Since t - 3 and ln t are both continuous functions for t > 0, f(t, y) is continuous for t > 0 and y ≠ 0. To check the continuity of ∂f/∂y, we differentiate f(t, y) with respect to y:

∂f/∂y = (2t)/((t - 3)ln t)(ln t)

Since ln t > 0 for t > 0, we have:

|(2t)/((t - 3)ln t)(ln t)| ≤ 2/(t - 3)

Therefore, ∂f/∂y is also continuous for t > 3.

Thus, by the existence and uniqueness theorem, there exists a unique solution to the given initial value problem that passes through the initial point (1, 2) and is defined on an interval containing 1 as long as t > 3.

Therefore, the interval in which the solution of the given initial value problem is certain to exist is t > 3.

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The valid and useful Internal Rate of Return (IRR) is 14.98%. The Internal Rate of Return (IRR) is a financial metric used to assess the profitability and viability of an investment project.

It represents the discount rate at which the present value of cash inflows equals the present value of cash outflows. In simpler terms, it is the rate of return that makes the net present value of an investment zero. In this case, there are two IRR values provided: -14.79% and 14.98%. The valid and useful IRR is the positive value, which is 14.98%. The negative value, -14.79%, is not considered valid because it implies a negative rate of return, which is not meaningful in this context.

The positive IRR of 14.98% indicates that the project is expected to generate a rate of return of 14.98%, which is higher than the required rate of return or the cost of capital. This suggests that the project is potentially profitable and should be considered for investment. The higher the IRR, the more attractive the project becomes.

It is important to note that the IRR should be interpreted in conjunction with other financial metrics and considerations, such as the project's cash flows, risk factors, and the organization's investment criteria. Additionally, sensitivity analysis and scenario testing should be conducted to assess the robustness and reliability of the IRR estimate.

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An increase in the quantity of product X demanded from 16,000 to 17,000 units implies that the price of product X was decreased.

This is because the quantity of a product demanded and the price of that product have an inverse relationship, meaning that as the price of a product increases, the quantity of that product demanded will decrease, and as the price of a product decreases, the quantity of that product demanded will increase.

So, if the quantity of product X demanded increased from 16,000 to 17,000 units, it means that the price of product X must have decreased to make it more attractive to consumers and increase the demand for it.

An increase in the quantity of product x demanded from 16,000 to 17,000 units implies that the price of product x was reduced.

An increase in the quantity of product demanded from 16,000 to 17,000 units implies that the price of product x was lowered. The price is lowered because the demand for a product is inversely related to its price. When the price of a product goes down, the quantity demanded for that product goes up, and vice versa. This relationship is known as the law of demand.

In this case, the increase in the quantity of product x demanded from 16,000 to 17,000 units indicates that the price of product x was lowered, causing an increase in demand.

It is important to note that other factors, such as changes in income or preferences, can also affect the demand for a product. However, all else being equal, a decrease in price will generally lead to an increase in the quantity demanded.

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The dilated triangle R'S'T' has the following vertices R' (0, 6), S' (6, 3) and T' (3, 3)

The scale factor for dilation is 3/4

The new coordinates of the vertices after dilation:

Vertex R: (0, 8)

New coordinates:

x-coordinate: (3/4)× 0 = 0

y-coordinate: (3/4) × 8 = 6

So, the new coordinates for vertex R after dilation are (0, 6).

Vertex S: (8, 4)

New coordinates:

x-coordinate: (3/4) × 8 = 6

y-coordinate: (3/4) ×4 = 3

So, the new coordinates for vertex S after dilation are (6, 3).

Vertex T: (4, 4)

New coordinates:

x-coordinate: (3/4) ×4 = 3

y-coordinate: (3/4) ×4 = 3

So, the new coordinates for vertex T after dilation are (3, 3).

Hence, the dilated triangle R'S'T' has the following vertices R' (0, 6), S' (6, 3) and T' (3, 3)

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Lena's income tax is calculated by adding the tax on the first $7500 of her income, which is $1125, to the tax on the amount over $7500, which is $5400. Therefore, Lena must pay $6525 in income tax for last year.

To calculate Lena's income tax, we need to compute the tax on the first $7500 of her income and the tax on the amount over $7500, and then add them together.

Tax on the first $7500 = 0.15 * $7500 = $1125

Tax on the amount over $7500 = 0.18 * ($40000 - $7500) = $5400

Total tax = $1125 + $5400 = $6525

Therefore, Lena must pay $6525 in income tax for last year.

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Answer:

One, Buff Billy's, has a joining cost of $80 and charges $25 a month. The other, Shredded Eddie's, has no joining cost but charges $35 a ...

Step-by-step explanation:

The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

its 62!

p-by-step explanation:

Answer:

62.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

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Answer:

the value of sin(F) is 3/5

The definite integral of f(x) from a to b is equal to the negative of the definite integral of f(x) from b to a.

The definite integral of a function f(x) from a to b is defined as the signed area between the graph of the function and the x-axis, bounded by the vertical lines x=a and x=b.

The negative of the definite integral from b to a is the signed area bounded by the vertical lines x=b and x=a, which is equal to the area bounded by x=a, x=b, and the x-axis, but with a negative sign. Therefore, we can say that the definite integral of f(x) from a to b is equal to the negative of the definite integral of f(x) from b to a.

This property is also known as the reversal of limits of integration or "reverse order law".

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The term is dimension reduction.

Dimensionality reduction:

The process of transforming data from a high-dimensional space into a low-dimensional space with the goal of keeping the low-dimensional representation as close as possible to the inherent dimension of the original data is known as dimension reduction. Working with high-dimensional spaces can be undesirable for a variety of reasons, including the fact that the data analysis is typically computationally intractable and that the raw data are frequently sparse as a result of the curse of dimensionality. Dimensionality reduction is frequently used in disciplines like signal processing, speech recognition, neuroinformatics, and bioinformatics that deal with huge numbers of observations and/or variables.

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Answer:

57

Step-by-step explanation:

180-46-20=114 114/2=57

Answer:

57

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Your equation will be: 46+x+20+x=180

66+2x=180

x=57

Answer:

$0.12

Step-by-step explanation:

There are 3 teaspoons in a tablespoon, so our price will be divided by 3 because of the quantity of ground cinnamon it would cost for a teaspoon and 0.36/3=0.12

Answer:

f = 2

Step-by-step explanation:

10 = 6 + 2f

subtract 6 from both sides

4 = 2f

divide both sides by 2

2 = f

Answer:

Step-by-step explanation:

answer what?

The rate at which the distance between the two cars is changing at this instant in time is 3 feet per second.

Using this information, we can write expressions for the positions of the two cars as functions of time. The position of car A at time t is given by:

dA(t) = 18 + 8t

Similarly, the position of car B at time t is given by:

dB(t) = 26 + 11t

To find the distance between the two cars at time t, we can subtract these expressions:

d(t) = |dB(t) - dA(t)|

The absolute value signs are necessary because we don't know which car will be farther from the intersection at any given time. We only care about the distance between them, not the direction.

Now we need to find the rate at which d is changing at a specific instant in time. We can do this by taking the derivative of d with respect to time, t:

d'(t) = |dB'(t) - dA'(t)|

where dA'(t) and dB'(t) are the velocities of cars A and B at time t, respectively. We can find these velocities by taking the derivatives of the expressions we wrote for their positions:

dA'(t) = 8

dB'(t) = 11

Plugging these values into the derivative expression for d, we get:

d'(t) = |11 - 8|

which simplifies to:

d'(t) = 3

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It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.

For the "Shorts" row: It's given that 42 people were wearing shorts.

Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.

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See text below

30 people surveyed were wearing open-toed shoes.

1/3 of the people with open-toed shoes were wearing

pants.

• 42 people were wearing shorts.

Twice as many people were wearing closed-toed shoes

than open-toed shoes.

Complete the table using the information given.

                   Open-Toed Shoes              Close-Toed Shoes         Total

Shorts                     -------                           ------                               --------

Pants                         ------                           ----------                            ------

Total                          ------                           ----------                            ---------

Answer : 1kilograms=1,000 grams divide 2384 by 1,000 which is 2.384

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

Answer:

5

Step-by-step explanation:

since the base of the log is 2x-4 we can bring up 2x-4 to be (2x-4)^3=216

2x-4=216^(1/3)

2x-4=6

x=5

hope that help :)

Answer: read first :)

Step-by-step explanation:

the first equation, x= -4 + 3y/5

y= 20/3 + 5x/3

the second equation, x= 4 - 2y/3

y= 6 - 3x/2