Evaluate the expression for the given variable values.


3∣m+2n∣2−(mn)2 if m=3 and n=−5

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

  1630

Step-by-step explanation:

You want to know what Martin paid to cover 1650 in doctor bills when his insurance pays 80% after a deductible of 500 has been met.

When insurance pays 80% of the amount over 500, Martin pays the other 20%. Martin's share of the bill is ...

  500 + 0.20(6150 -500)

  = 500 +0.20(6150) -0.20(500) = 400 +0.20(6150)

  = 400 +1230 = 1630

Martin paid 1630 in all, including the deductible.

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Area of circle of diameter with 13cm is 132.74

What is area of circle?

Given :

Diameter of circle, d = 13cm

Radius of a circle, r = d/2

=13/2

=6.5

Area of circle = πr²

= 3.142 * 6.5 * 6.5

= 132.74

Hence, the Area of circle of diameter with 13cm is 132.74.

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Answer: C≈37.7

I do hope that this helps! :)

Answer:

\(12\pi\) inches.

Step-by-step explanation:

We are given that,

The radius of the circle = 6 inches

Since, the circumference of a circle = \(2\pi r\), where r = radius.

Substituting r = 2 in the formula, we get,

Circumference of a circle = \(2\pi\) × \(6=12\pi\) inches

Hence, the circumference of the circle is \(12\pi\) inches.

So, \(12\pi\) is correct.

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

Answer:

IJ units

Step-by-step explanation:

What else is there..?

Answer:

$16s + $4y = 296

Step-by-step explanation:

Answer:

16x + 4y = 296

Step-by-step explanation:

X = Seats

Y = Snacks

Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

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I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Answer:

  D.  7°C

Step-by-step explanation:

The difference between two numbers is the distance between them on the number line.

  4 -(-3) = 4 +3 = 7

Temperatures -3°C and +4°C are 7°C apart. The difference between the temperatures is 7°C.

_____

Additional comment

Often, in math, when we talk about the difference between A and B, we mean specifically the value (A-B). In plain English, when we talk about the difference between A and B, we mean the positive difference--the value obtained by subtracting the smaller number from the larger one.

Here, the difference between New York and London temperatures would ordinarily be interpreted in math to be -3 -4 = -7°C. That is not an answer choice, so we must assume the positive difference, 7°C, is intended.

Answer:

0.72727272727 estimate that to .72

Step-by-step explanation:

Answer:

so all you do is cross flip and multiply  

Step-by-step explanation:

what that means is you flip the fraction on the right and then cross multiply the two fractions

I hope this helps

Answer:

ok so

lets say

1 2/4 divided by 1/3

okay so first you change the 1 2/4 into a improper fraction

1 2/4 = 6/4

okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4

so the question is now

18/12 divided by 4/12

then you divide the numerator by numerator and the denominator stays the same

heres another way:

you change the number to improper if not already

18/12 divided by 4/12

and then you switch the 4 and the 12 around so its now

18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is

18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator

sorry if this is confusing, im bad at explaining >_<

Answer:

60

Step-by-step explanation:

if you divide 120(the total distance traveled) by 2(the hours that it traveled) you get 60.

the answer is 60miles/1 hour or 60mph.

explanation:

so the bus completed 120miles in 2 hours. and they want you to find the speed or miles per hour the bus traveled. all you need to do is divide 120/2= 60 so the answer would be 60 miles per hour or 60mph. you know its right because the ratio of 120:2 shows how much per 2 hours we need to divide to find out how the ratio of miles:1 hours (which is better thought of as mph= miles per each hour) to show how much for 1 you divide both sides of 120:2 by 2. so 120÷2=60 : 2÷2=1 so you found the ratio is 60 miles per hour. 60:1 i hope that helps you guys out and that i didnt confuse you more.

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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If Cesar had a bill of $82 for renting an LCD projector, he kept the projector for 4 days, based on the linear equation.

To determine the number of days the projector, we deploy linear equation, which is in the form of y = mx + b, where m is the slope, x and y are variables, and b is the y-intercept.

The flat fee for administrative costs = $10

The variable cost per day = $18

The total bill for renting the projector = $82

The number of days = x

10 + 18x = 82

18x = 72

x = 4

Check:

10 + 18x = 82

10 + 18(4) = 82

10 + 72 = 82

82 = 82

Thus, setting a linear equation, we can determine the number of days the projector was rented as 4 days.

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Answer:

b

Step-by-step explanation:to get the answer you multiply by 4 1x4 =4 3 x 4=12

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.

It should be noted that a function simply means a relation or expression that involves two or more variables.

In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.

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Answer:b

Step-by-step explanation:

Answer: 2x³-10x²+12x or 2x(x²-5x+6)

Step-by-step explanation:

(p*q)(x) means p(x) and q(x) multiplied together.

(2x²-4x)(x-3)

2x³-6x²-4x²+12x

2x³-10x²+12x

You can also factor this by taking out a 2x.

2x(x²-5x+6)

the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).

In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).

In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.

To simplify a rational expression, follow these steps:

Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).

Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.

Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:

\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)

Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.

It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.

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Answer: y=6

Step-by-step explanation: please mark me brainliest :)

Answer:

y=6

Subtract 1 from 31 which will be 30. Then divide 5 by 30. Which will leave y by itself and your answer.

The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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