hello need ASAP please help due tommorow​

The Reduction in the Price of Computer is $56.25

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term 100% refers to one hundred percent. It is denoted by the sign "%".

Solution:

To solve this problem we need to find 15% of $375

15 * 375 / 100 = 56.25 $

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Answer: False

Step-by-step explanation:

Discrete means secret and that data is not discrete as it can be acess by anyone.

True. The amount of rainfall in your state last month is an example of discrete data.

The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.

Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.

Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.

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hello

determine the amount each of them have, let's write an equation to represent thier total amount

let x represent the amount Jason have

let y represent the amount Jeff has

now, we know that Jason has 3 more than 4 times the amount Jeff has

x = 4y + 3 .... equation 1

x + y = 72 .... equation 2

from equation 2,

make x the subject of formula

x = 72 - y .....equation 3

put equation 3 into equation 1

x = 4y + 3

72 - y = 4y + 3

solve for y

we know y = 13.8

we can simply substitute the value into equation 2 and solve for x

therefore, Jason has $58.2 and Jeff has $13.8

Answer:

135 degrees \

Step-by-step explanation:

5x= x+108

Subtract x from the right

4x= 108

divide by 4

x= 27

Substitute for x in the original equation

(x+108)

(27)+(108)

= 135 degrees

Polynomial of degree 5, p (x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0, and a root of multiplicity 1 at x = − 4.

The polynomial equation that satisfies the above information is:p(x) = (x - 3)²x²(x + 4)Here, (x - 3)² gives two roots at x = 3 and similarly x² gives two roots at x = 0, and (x + 4) gives one root at x = −4.The above equation is a possible formula for p(x). It can be expanded by multiplying the brackets together:p(x) = (x - 3)²x²(x + 4)= (x - 3)(x - 3)x²(x + 4)= (x³ - 6x² + 9x)(x + 4)= x⁴ + 4x³ - 6x² - 24x + 36x² - 54x= x⁵ + 4x⁴ - 6x³ + 12x² - 54xHence, p(x) = x⁵ + 4x⁴ - 6x³ + 12x² - 54x is a possible formula for the given information.

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22/24, 44/48 and 0.91666666...

Answer:

The two different ways to write  are :

1.

22/24

when we will divide both the numerator and denominator by 2, we will get

2. 110/120

 when we will divide both the numerator and denominator by 10, we will get

Step-by-step explanation:

Hope this helped! :)

Answer:

Yes, Triangle A

Step-by-step explanation:

The answer is A: Most members prefer a beach vacation.

Answer:

y/x

5. -6/1

6. 2/3

7. 2/16

8. -12/1

(a) Mathematically, this can be expressed as: MRS = p1/p2, where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods. (b) This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

(a) To show that the indifference curve through an interior solution, denoted as x*, must be tangent to the consumer's budget line, we can use the concept of marginal rate of substitution (MRS) and the slope of the budget line.

The MRS measures the rate at which a consumer is willing to trade one good for another while remaining on the same indifference curve. It represents the slope of the indifference curve.

The budget line represents the combinations of goods that the consumer can afford given their income and prices. Its slope is determined by the price ratio of the two goods.

If x* is an interior solution, it means that the consumer is consuming positive amounts of both goods. At x*, the MRS must be equal to the price ratio for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MRS = p1/p2

where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods.

(b) If x* ∈ \(R+^2\)and x1* = 0, it means that the consumer is consuming only the second good and not consuming any units of the first good.

In this case, the marginal utility of the second good (MU2) divided by the marginal utility of the first good (MU1) should be less than the price ratio of the two goods (p2/p1) for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MU2/MU1 < p2/p1

This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

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The expression gotten from integrating \(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\) is \(\frac{1}{16}\sin^{-1}(8x/5) + c\)

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

\(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\)

Let u = 8x/5

So, we have

du = 8/5 dx

Subsitute u = 8x/5 and du = 8/5 dx

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx = \int {\frac{5}{\sqrt{5(100 - 100u\²)}} \, du\)

Simplify

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{1}{16} \int {\frac{1}{\sqrt{1 -u\²}} \, du\)

Next, we integrate the expression \(\int {\frac{1}{\sqrt{1 -u\²}} \, du = \arcsin(u)\)

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{\arcsin(u)}{16} + c\)

Undo the earlier substitution for u

So, we have

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{\arcsin(8x/5)}{16} + c\)

This can also be expressed as

\(\int {\frac{1}{\sqrt{100 - 256x\²}} \, dx =\frac{1}{16}\sin^{-1}(8x/5) + c\)

Hence, integrating the expression \(\int\limits {\frac{1}{\sqrt{100 - 256x\²}} \, dx\) gives (c)

\(\frac{1}{16}\sin^{-1}(8x/5) + c\)

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The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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Answer:

Step-by-step explanation:

Answer:

a₂₀ = 69

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 15 - 12 = 3 , then

a₂₀ = 12 + (3 × 19) = 12 + 57 = 69

Answer:

A. 40

Step-by-step explanation:

Q1 - 40

Q2 - 65

Q3 - 80

And 90 is max

So 40 is the correct answer.

The variable is up against an upper limit. in a maximization problem, a binding less than or equal to (≤)

constraint indicates that the variable associated with the constraint has reached or is at its upper limit. It implies that the variable cannot increase further without violating the constraint.

This constraint acts as a restriction that limits the potential values the variable can take in the optimization problem.

When a constraint is binding, it means that the optimal solution to the problem is achieved when the constraint is satisfied with equality. In the context of a maximization problem,

if a variable is up against an upper limit and the constraint is binding, it suggests that the variable is already maximizing its value within the given constraint.

In contrast, if the constraint is not binding, it means that the variable has not reached its upper limit and has the potential to increase further while still satisfying the constraint. In such cases, the variable can be increased to improve the objective function value and optimize the problem further.

It's important to note that the shadow price, also known as the dual value or marginal value, represents the rate of change of the objective function with respect to a constraint. It indicates the sensitivity of the objective function to changes in the constraint.

The sign of the shadow price is not determined by the direction of the constraint (≤ or ≥), but rather by the problem formulation and the specific constraints and variables involved.

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Answer:

2.5×10 to the sixth power

Step-by-step explanation:

6÷2.4=2.5

10^9÷10^3=6

Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy

Step-by-step explanation:

The required result of the sliding filament model given below.

The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.

The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.

Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.

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Answer:

1 orange weighs 5 ounces.

Divide

35÷7 = 5

so, one orange weighs 5 ounces.

Answer:

x = 3.6

Step by step explanation:

Let number of years be x

W.K.T

Simple interest is the interest calculation method that applies a constant rate of interest to the principal amount of a loan or deposit over a period of time. It is calculated as a percentage of the principal amount, multiplied by the number of periods the interest is applied for.

Simple interest is used to calculate interest on loans, deposits, and other investments. It is also used to calculate the total amount owed on a loan or the return on an investment.

I = P × R × T

Where:

I = Interest Amount

P = Principal Amount

R = Interest Rate (as a decimal)

T = Time (number of periods)

10,750 - 10000 = 10,000 x 2.1% x X

750 = 10,000 x 0.02 x X

x = 3.6

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The line AC from the diagrammatic expression of the tangent of the circle shows that line AC is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter

Line |EA| = radius = 18

Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras' theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30

Line |AB| = opposite (x) = ???

Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

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1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.

2) Then the cube root of 27, because 3 cubed is equal to 27

3) Finally, pi is the largest since it equals 3.142.

Good luck with your grades.

root 8 < pi < cube root 27

In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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Answer:\(x = 18\)

* also think you meant x instead of c*

Step-by-step explanation:

\(\frac{x}{6} - 7 = -4\) --> +7 on both sides

\(\frac{x}{6} - 7 + 7 = -4 + 7\)

\(\frac{x}{6} = 3\) --> multiple by 6 by both sides

\(6 * \frac{x}{6} = 3 * 6\) --> the 6 and the \(\frac{x}{6}\) cancel out

\(x = 18\)

Answer:

C) 22 R9

Step-by-step explanation:

Answer: C. 22 R 9

Step-by-step explanation: 603 ÷ 27 22 R 9

Answer:

3

Step-by-step explanation:

28:21=

7(4):7(3)=

4:3

x=3

Hope this helps!

The given differential equation is y" - y = x + sin x and the initial conditions are y(0) = 3, y'(0) = 2.

To solve the given differential equation, first we need to find the complementary function and the particular integral. So, let's begin. Complementary Function: The characteristic equation is m² - 1 = 0 ⇒ m² = 1 ⇒ m = ±1

The complementary function is yCF = c1 e^x + c2 e^(-x)Particular Integral: We can find the particular integral using the method of undetermined coefficients. As the given right-hand side of the differential equation is a linear combination of x and sin x, the particular integral will be of the form yPI = Ax + B sin x + C cos x On substituting yPI into the differential equation and solving for A, B, and C, we getA = -2, B = 91/80, and C = 229/80

Therefore, the particular integral is yPI = -2x + (91/80) sin x + (229/80) cos x The general solution of the differential equation is y = yCF + yPI y = c1 e^x + c2 e^(-x) - 2x + (91/80) sin x + (229/80) cos x Using the initial conditions, we get3 = c1 + c2 + (229/80) ⇒ c1 + c2 = (71/80)2 = c1 - c2 - 2 + (91/80) ⇒ c1 - c2 = (393/160) Solving the above two equations, we get c1 = (3/16) and c2 = (55/80)

Therefore, the solution of the differential equation subject to the given initial conditions is:y = (3/16) e^x + (55/80) e^(-x) - 2x + (91/80) sin x + (229/80) cos x

So, the answer is:y = (3/16) e^x + (55/80) e^(-x) - 2x + (91/80) sin x + (229/80) cos x.

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