Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer
H=62.4Ns/33,000 solve for N
please help
Answer:
[tex]N=\frac{33,000H}{62.4s}[/tex]
Step-by-step explanation:
We have been given an equation [tex]H=\frac{62.4Ns}{33,000}[/tex]. We are asked to solve our given equation for N.
Multiply both sides by 33,000:
[tex]H*33,000=\frac{62.4Ns}{33,000}*33,000[/tex]
[tex]33,000H=62.4Ns[/tex]
Switch sides:
[tex]62.4Ns=33,000H[/tex]
Divide both sides by [tex]62.4s[/tex]:
[tex]\frac{62.4Ns}{62.4s}=\frac{33,000H}{62.4s}[/tex]
[tex]N=\frac{33,000H}{62.4s}[/tex]
Therefore, the value of N is [tex]\frac{33,000H}{62.4s}[/tex].
Find the least common multiple of x 3 - x 2 + x - 1 and x 2 - 1. write the answer in factored form.
a. (x + 1) 2(x - 1)
b. (x + 1)(x - 1)(x 2 + 1)
c. (x 3 - x 2 + x - 1)(x 2 - 1)
d. (x + 1)(x - 1)(x 2 - 1)
The correct answer is d. [tex](x + 1)(x - 1)(x^2 - 1)[/tex].
To find the least common multiple (LCM) of the two polynomials[tex]\(x^3 - x^2 + x - 1\) and \(x^2 - 1\)[/tex], we need to factor each polynomial and then find the LCM of the factors.
First, let's factor [tex]\(x^3 - x^2 + x - 1\)[/tex]:
[tex]\(x^3 - x^2 + x - 1 = x^2(x - 1) + (x - 1) = (x^2 + 1)(x - 1)\)[/tex].
Now, let's factor [tex]\(x^2 - 1\)[/tex]:
[tex]\(x^2 - 1 = (x + 1)(x - 1)\)[/tex].
The LCM of two polynomials is the product of the highest powers of all the factors that appear in either polynomial. Here, we have the factors [tex]\(x - 1\), \(x + 1\), and \(x^2 + 1\)[/tex] from the first polynomial, and the factors [tex]\(x - 1\) and \(x + 1\)[/tex] from the second polynomial.
Since [tex]\(x^2 + 1\)[/tex] is already the highest power of [tex]\(x^2 + 1\) , \(x - 1\) and \(x + 1\)[/tex] are the highest powers of [tex]\(x - 1\) and \(x + 1\)[/tex] respectively, the LCM is simply the product of all these factors:
[tex]\((x + 1)(x - 1)(x^2 + 1)\)[/tex].
However, we notice that [tex]\(x^2 - 1\)[/tex] is actually equal to [tex]\((x + 1)(x - 1)\)[/tex], and since [tex]\(x^2 + 1\)[/tex] is not a factor of [tex]\(x^2 - 1\)[/tex], we do not include it in the LCM. Therefore, the LCM is just [tex]\((x + 1)(x - 1)\)[/tex].
But we must also consider the polynomial [tex]\(x^3 - x^2 + x - 1\)[/tex], which can be rewritten as [tex]\((x^2 + 1)(x - 1)\)[/tex]. Since [tex]\(x^2 + 1\)[/tex] is not a factor of [tex]\(x^2 - 1\)[/tex], it must be included in the LCM to account for the additional factor in the first polynomial.
Thus, the LCM of [tex]\(x^3 - x^2 + x - 1\) and \(x^2 - 1\)[/tex] is [tex]\((x + 1)(x - 1)(x^2 - 1)\)[/tex], which corresponds to option d. This is because we take the highest powers of the common factors [tex]\((x + 1)\) and \((x - 1)\)[/tex], and include the additional factor from the first polynomial, which is [tex]\(x^2 - 1\)[/tex] since [tex]\(x^2 + 1\)[/tex] is not a factor of[tex](x^2 - 1\))[/tex].
Therefore, the final answer is [tex]\(\boxed{(x + 1)(x - 1)(x^2 - 1)}\)[/tex].
Which property of equality would be used to isolate the variable b in this equation? (3/4) b= 12
What do you do the inequality symbol when you multiply or divide by a negative number?
What is the value of h(−2) when h(x)=3x+1 ?
Enter your answer in the box.
h(−2)=
HELP PLS 30PTS
h(x) = 3x+1
h(-2) = 3(-2) +1 =-6 +1 =-5
h(-2) = -5
Answer:
we have
h(x)=3x+1
now
h(-2)=3×-2+1=5 is your answer
PLEASE HELP! What is the first step you will use to solve this equation:
4x +2 = 7x - 13
Question 1 options:
Add 13 to both sides
Subtract 2 from both sides
Add 7x to both sides
Subtract 4x from both sides
pilar wants to save $100. So far, she has saved $63. Find the length of each side of the square
Suppose y varies directly with X
At a baseball stadium the price for popcorn is $14.70 for 5 bags. If you wanted to buy 4 bags of popcorn, how much would it cost?
Two trucks leave a warehouse at the same time. one travels due north at an average speed of 48 miles per hour, and the other travels due south at an average speed of 64 miles per hour. after how many hours will the two trucks be 728 miles apart?
When two objects are moving in opposite directions, their relative speed is the sum of their speeds. In this scenario, the trucks will be 728 miles apart after 6.5 hours of travel.
Explanation:The problem here is essentially an application of the concept of relative speed. The two trucks are traveling in opposite directions, so you add their speeds together to get the relative speed at which they are moving apart. That results in a combined speed of 48 mph (north) + 64 mph (south) = 112 mph. Now, to find out when they will be 728 miles apart, you divide the total distance by the combined speed:
728 miles ÷ 112 mph = 6.5 hours.
So, both trucks will be 728 miles apart after 6.5 hours.
Learn more about Relative Speed here:https://brainly.com/question/32038972
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how can you figure out how many miles you are using on a united fligjts
Solving Quadratic Equations (pic link)?
A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectangle formed has an area of 100 cm2 . find the dimensions of the original rectangle.
For spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?
Answer:
$145.98
Step-by-step explanation:
You and some friends plan a road trip to a sunny destination that is 1705 miles away.
You drive a car that gets 39 miles per gallon.
Total gas used in the trip = [tex]\frac{1705}{39}[/tex]
= 43.7179487 ≈ 43.72 gallons
Gas costs per gallon = $3.339
Total cost to get to your destination = 43.72 × 3.339
= $145.98108 ≈ $145.98
The cost would be $145.98 to get to your destination.
The number 23 is what percent of 66
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!
1. A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.
Which recursive function best represents the number of MP3 players in the store f(n) after n months?
f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 − 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 0.3 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 + 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
2. Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:
f(x) = 500(1.05)x
What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?
14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year
As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second. Convert this rate to miles per minute. At this rate, how many miles will Mercury travel in 4 minutes?
The number of miles that Mercury travels in 4 minutes will be 7,200 miles.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second.
Convert the rate into miles per minute. Then we have
Rate = 30 x 60
Rate = 1,800 miles per minute
At this rate, the number of miles that Mercury travels in 4 minutes will be given as,
D = 1,800 x 4
D = 7,200 miles
The number of miles that Mercury travels in 4 minutes will be 7,200 miles.
More about the rate link is given below.
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Is 0.54 a rational number? Why or why not?
PLEASE HELP! I'm so confused!
Hourly employees working more than 40 hr a week are often paid "time and a half" for overtime, any hours beyond 40. In the formula p = wr + 1.5we, gross pay (p) is computed by multiplying the hourly wage (w) by the number of regular hours worked (r[tex] \leq [/tex]40) and adding 1.5 times the product of the hourly wage (w) and the number of extra hours (e) beyond 40. Find your gross pay if you work the given number of hours at the given rate.
40 hr at $8.12/hr
47 hr at $10.92/hr
What is the value of x in the equation x – y = 30, when y = 15?
A drama class has a total of 47 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?
Please help me solve this equation but show the steps so I can learn how to solve it.
0.25r-0.125+0.5r=0.5+r
A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second.
1 m = 10 dm
1000 m = 1 km
How much faster does the sea turtle swim than the girl in meters per minute?
Enter your answer in the box.
____m/min
~~~~~~~~~~The answer is 366 m/min~~~~~~~~~~~~~~~~~~ First, convert the turtles speed to meters per minute. 27 km/h * 1000 m/km = 27000 m/h / 60 min/h = 450 m/min Now convert the girls speed to meters per minute. 14 dm/s / 10 dm/m * 60 s/min = 84 m/min Now subtract the girl's speed from the turtle's speed. 450 m/min = 84 m/min = 366 m/min
Which object models a line ?
A. a fly
B. a wall
C. a meter stick
D. a television
The object is a meter stick that models a line.
What is a line?A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.
Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
In daily language, a line segment with two points designating its endpoints is also referred to as a "line."
From the given choices:
A meter stick models a line.
Therefore, the object is a meter stick.
To learn more about the line;
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A car travels 0.75 every minute. Explain how could you use proportional reasoning to find how far the car travels in one hour
Answer:
Sample Response: Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 time 60 to find how far the car travels in one hour.
Step-by-step explanation:
Y2 + 30 ÷ x - 8 what is the value of the expression when x = 6 and y = 8?
Which correctly describes how the graph of the inequality 6y-3x>9 is shaded
Answer: above the dash line!
Please help! 20 points!
divide: 5/4 = 1.25
answer is 1.25
A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?