f(x)=3x²+42-6
g(x)=62-5²-2
Find (f+g)(x).
O A. (f+g)(x) =-628+82 +42-4
O B. (f+g)(x) = 6r³-2r² +42-8
O c. (f+g)(x) = 9r³-2-8
OD. (f+g)(x) = 6x³+3x²-2-8

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Vertex = (4,8)

Passing through the origin = (0,0)

Vertex form:

y= a (x-h)^2+k

(h,k) is the vertex:

y= a (x-4)^2+8

Replace the (x,y ) by the origin coordinates

Solve for a

0= a (0-4)^2+8

-8 = a(-4)^2

-8 = a 16

-8/16 = a

-1/2 = a

y=-1/2 (x-4)^2+8

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Carter can line the books up on his bookshelf in 24 different ways.

Answer:

$29.92

Step-by-step explanation:

For every 100 cubic feet, $3.74 is charged

If a resident uses 800 cubic feet, then we multiply the rate by 8 since 800 is 8 times 100.

3.74 x 8 = 29.92

Answer:

Step-by-step explanation:

x^4(x^3) is x^7 (when multiplying two same variables with exponents you just add the exponents)

(x^4)/(x^3) is x^1 or just x (when dividing two same variables with exponents you just subtract the exponents)

The interest obtained after 4 years from a loan of $7500 is = $750

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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Answer:

C. 7°F

Step-by-step explanation:

Answer:

100/100

Step-by-step explanation:

XD

Answer:

(2z)^3 = 2^3*z^3

8*z^3

Answer:

\(8z {}^{3} \)

Step-by-step explanation:

\(in \: simplifying \: the \: above \\ \\ (2z) {}^{3} = 2 \times 2 \times 2 \times z {}^{3} \\ = 8z {}^{3} \)

The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

15000000ft-Ib

Step-by-step explanation:

We were told to Show how to approximate the required work by a Riemann sum which is a certain kind of approximation of an integral by a finite sum.

. So we will need to divide the cable into 6 segments,

✓let us denote x as the distance between the top of the mine shaft and the segment.

✓Let us denote ∆x as the length of the segment

Then work done on a segment, work done on the coal and total work done can now be calculated.

CHECK THE ATTACHMENT FOR THE DETAILED EXPLANATION

Suppose that the weight of a cable is \(6 \ \frac{lb}{ft}\) and used to lift \(700\ lb\) of coal up a mining shaft \(600\ ft\) deep.

\(\to W_{ca} = \lim_{n\to \infty} \Sigma^{n}_{i=1} 6x_i^{*} \Delta x \\\\\)

           \(=\int^{600}_{0} 6x \ dx\\\\= [6x^2]^{600}_{0} \\\\= 3 (360000)\\\\ = 1080000\ ft-lb\\\\\)

Thus,  the work done again for cable is \(W_{ca} = 1080000 \ ft-lb\).  

If the cable weighs 700 lbs and the distance is 600 feet, As a result, the effort expended in raising the coal to the top of the mineshaft is referred to as

\(\to W_{co} = 700 \times 600 = 420,000 \ ft-lb\)

As a result, the total amount of work completed is as follows:

\(\to W =W_{ca}+W_{co} \\\\\)

         \(= 1080000+ 420000 \\\\= 1500000 \ ft-lb \\\\\)

Hence, the total work done is \(\bold{W = 1500000\ ft- lb}\).

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Answer:

0.0101 < p < 0.1499

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Out of 100 adult residents sampled, 8 had kids. Based on this, construct a 99%.

This means that \(n = 100, \pi = \frac{8}{100} = 0.08\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 2.575\sqrt{\frac{0.08*0.92}{100}} = 0.0101\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 2.575\sqrt{\frac{0.08*0.92}{100}} = 0.1499\)

Express your answer in tri-inequality form.

0.0101 < p < 0.1499

The python methods that can be used to perform simple linear regression on a data set are -  

A. linregress method from scipy module

C. ols method from statsmodels module

The linregress method from the module is the most simplest and effortless method for performing simple linear on the data set. It consists of two arrays one represents the independent variables and the second represents the dependent variables.

The relationship between two variables can be modeled using simple linear regression, where the first variable is treated as the independent variable and the other as the dependent variable. Finding the line of best fit that lowers the squared sum of the residuals is the goal.

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

Problem: 0.5(5-7x)=8-(4x+6)

Answer: x= -1

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

option A

Step-by-step explanation:

f(x)+g(x) will lead to addition of the fractions

LCM of 2x and x² is 2x²

{(2x²×½x)+(2x²×4/x²)}/2x²

x+8/2x²

The equivalent expressions of One-third + 8 d + StartFraction 5 Over 7 EndFraction are option B,D and G.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given expression is :

One-third + 8 d + StartFraction 5 Over 7 EndFraction

and, the expression equivalent to this are :

1) 8 d + one-third + StartFraction 5 Over 7 EndFraction

2) One-third + StartFraction 5 Over 7 EndFraction + 8 d

3) StartFraction 5 Over 7 EndFraction + one-third + 8 d

Therefore, the equivalent expressions are option B,D and G.

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

\(x=\frac{3\left(-y+6\right)}{7}\)

Step-by-step explanation:

\(14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}\)

Hope this helps you, and I hope that you get un-stuck! Have a good day.

i hope this helps you

have a nice day

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

Answer:

work is shown and pictured

Answer:

\(\frac{\sqrt[3]{18}}{3}\)

Step-by-step explanation:

Hello!

To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.

Since \(\sqrt[3]{3}\) is the same as \(3^{\frac13}\), we have to multiply the numerator and denominator  by \(3^{\frac23}\) or \(\sqrt[3]{3^2}\).

The radical in the numerator cannot be further simplified.

The answer is \(\frac{\sqrt[3]{18}}{3}\).

Answer:

multiply 4(-1)-3 on a calculator fill in the x for all the other numbers for the rest

Step-by-step explanation:

Answer:

Answer: $125.00

Step-by-step explanation:

Work:

¾ + ½= 1 ¼  

60 * 1 ¼= 75

75/3= 25

25 * $5.00= $125