Given:
The polynomials are:
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
The sum of given polynomials is:
[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]
[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]
Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.
3 A headline misreported
that 95% of students
purchased books for
class. By how many
percentage points was
the headline off?
The headline was off by 5 percentage points.
What is percentage ?
Percentage is a way of expressing a fraction or ratio as a number out of 100. It is a common way of measuring quantities or values that are relative to a whole. For example, if there are 100 students in a class, and 75 of them passed an exam, we can say that the pass rate is 75%, which means that 75 out of 100 students passed the exam.
To calculate a percentage, we can use the formula:
Percentage = (Part / Whole) x 100%
According to the question:
If the actual percentage of students who purchased books for class was different from the reported percentage of 95%, we can find the difference between the two percentages to determine how many percentage points the headline was off.
Let's say the actual percentage of students who purchased books for class was x%. Then the difference between the actual percentage and the reported percentage is:
Difference = |Reported percentage - Actual percentage|
Difference = |95% - x%|
For example, if the actual percentage was 90%, then the difference would be:
Difference = |95% - 90%|
Difference = |5%|
Difference = 5%
This means that the headline was off by 5 percentage points.
To know more about percentage visit:
https://brainly.com/question/29116686
#SPJ1
3y to the power of two + 14y
Answer:
23y
Step-by-step explanation:
3y² + 14y
9y + 14y
23y
Answer: (3y+2)(y+4)
Step-by-step explanation:
3y^2 +14y
This question would factor to:
(3y+2)(y+4)
PLEASE CAN YOU HELP ME WITH THIS AND EXPLAIN
Answer:
sorry it's very long........
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
The rectangular prisim below has a total surface area of 158 in use the net to determine the missing dimension
Answer:
The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.
For a rectangular prism of length L and width W, the surface area is calculated as:
S = W*L
For the assumption we took, we have:
W = 39.5ft
And we also know that S = 158 ft^2
And we want to find the missing dimension, in this case is L, then we need to solve:
158 ft^2 = W*L
We just need to divide both sides by the known measure, W
We get:
(158 ft^2)/W = L
So you just need to replace the known value, and can find the missing one.
which of the following is true about the expression √3*√12
A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues to use the same rate to make more batches of soup. How many pounds of barley soup should the cook mix with 35 quarts of broth?
Answer:
10 lbs
Step-by-step explanation:
7 qts x 5 qts = 35 qts broth
2 lbs x 5 lbs = 10 lbs barley
evaluate functions from their graphs
Answer:
what graphs i don't see any
Step-by-step explanation:
?????
another one! please help ..
Answer:
n has to be negative
Step-by-step explanation:
To solve this equation, 15 has to be subtracted from 2 which is negative
Since n is positive then the overall result will be negative
Jamie is going to pretend he is a race car and run around the outside of the track from point A to point B
How far is Jamie going to run?
A 471 feet
B 150 feet
C 540 feet
D 84 feet
The Answer Is 540 Feet.
Angle AB is 45% of 1,200, 1/2 of the full track.
Do 0.45x1,200=540.
Mary bought a bag of parsnips that weighed 2 1/4 pounds. She also bought a bag of turnips that weighed 3 times as much as the parsnips. How many pounds of turnips did Mary buy?
Step-by-step explanation:
2 1/4 is improper fraction, because it's 21/4. To simplify;
21/4 = 21/4
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
21/4 = 5 1/4
With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;
15.75
Conlusion/Answer:
Mary bought 15.75 pounds of turnips.
The number of students treated per month has been recorded for the last 60 months. Which between 100 and 200 students were treated
Answer:
Step-by-step explanation:
Here is the complete question
The number of students treated per month has been recorded for the last 60 months. Which type of graph would allow us to quickly see how many months between 100 and 200 students were treated
A) box plot
B)dot plot
C)historgram
An histogram is a bar-like graph used to represent numerical data. On the x-axis the range of data being described is given and on the y-axis, the frequency is provided.
The x-axis would show the range of 100 - 200 that were treated
a box plot displays numerical data using their quartiles
A dot plot is display of data using dots
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Find the value of x to the nearest tenth. In a triangle, one angle is 46 degree and second angle is 20 degree. The adjacent side of 46 degree angel is 7 and opposite side is x.
The value of x in the triangle is approximately 7.2 to the nearest tenth.
To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).
We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
tan(46°) = x/7
Take the tangent of both sides of the equation:
tan(46°) = x/7
Multiply both sides by 7 to isolate x:
7 x tan(46°) = x
Use a calculator to find the tangent of 46 degrees:
tan(46°) ≈ 1.0355
Multiply 7 by the approximate value of the tangent:
7 x 1.0355 ≈ 7.249
Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.
Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ4
The value of x to the nearest tenth is approximately 5.0.
To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.
Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.
sin(A) = C / B
sin(46°) = x / 7
To find the value of x, we can rearrange the equation:
x = 7 * sin(46°)
Using a calculator, we can evaluate sin(46°) and calculate the value of x:
x ≈ 7 * 0.7193
x ≈ 5.0351
for such more question on right triangle
https://brainly.com/question/12111621
#SPJ8
The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit punch?
i don't know sorry.....................................
Answer:
16/4=4
4,,,,,,,,,,,,,,,,,,,,
A company's flexible budget for 12,500 units of production showed sales, $50,000; variable costs, $20,000; and fixed costs, $15,000. The operating income expected if the company produces and sells 15,000 units is:
Answer: $21000
Step-by-step explanation:
First, we calculate the contribution margin which will be:
=Sales - Variable cost
= $50,000 - $20,000
= $30,000
Therefore, the contribution margin per unit will then be:
= $30,000 / 12500
= $2.4 per unit
The operating income will be the difference between the total contribution margin and the fixed cost. This will be:
The total Contribution margin will be:
= $2.4 × 15000
= $36000
Fixed costs = $15000
Operating income = $36000 - $15000
= $21,000
Please helpp!! (30 POINTS)!!!
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
What is the difference between greatest common divisor and greatest common denominator ?
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators
6. Nicole earned $72 in 9 hours At this rate, how
much would she earn in 12 hours?
Answer:
96
Step-by-step explanation:
Because 72/9 = 8 so every hour she earns 8$
8*12=96
The amount of money in dollars earned by Nicole in 12 hours will be $96.
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.
Nicole earned $72 in 9 hours. Then the amount of money in dollars earned by Nicole each hour is calculated as,
Rate = $72 / 9
Rate = $8 for each hour
At this rate, the amount of money in dollars earned by Nicole in 12 hours will be calculated as,
⇒ $8 x 12
⇒ $96
The cash in dollars acquired by Nicole in 12 hours will be $96.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).
Answer:
Step-by-step explanation:
Putting value of n = 12
f(12) = 128 + 15(12 - 1)
= 128 + 180 - 15
= 293
Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is 5 centimeters per day during the growth season.
Which of the following equations, where t represents time in days, and L represents length in centimeters, could be descriptions of the growth of a bamboo plant?
A. L= 5t
B. t= 5L
C. t= 50L
D. L= 50t
hi pls answer. it’s being timed
Step-by-step explanation:
option a and option d ,
since highest degree of variable x is 2 in both cases
Answer:
third number of answer isquadritic
Find the perimeter and area of the following shape using correct math
a. Perimeter =
b. Area =
Answer:
Area: 79.25
Perimeter:33.7
Geraniums are $2.95 each. How much will 5 plants cost? (include 7% sales tax.)
Will give u Brainly
Answer:
Option B
Step-by-step explanation:
Set 1:
med: 76, Range: 50-65= 15IQR: 77-73= 4
find the median, range, and IQRfor each data set.
Set 2:
med: 60, Range: 68-55= 13,IQR: 63-59= 4
76- 60 =16
find the difference of the medians 16 is 4 times 4
so the difference of the medians is 4 times the IQR
----------------------------
hope it helps...
have a great day!!
A suit is on sale for 71% off. The sale price is $278.40.
What is the regular price?
Answer:
it looks like the answer is $476.06.
Step-by-step explanation:
i got this answer because we already know the sale price. We need to find the regular/ original price of the suit. So in order to do that all you have to do is:
278.40 * 71%= 197.664
now add both together because 197.664 is how much the discount was. So, now add both together. 278.40 + 197.664. Now this gives you, 476.064, round it and you should get $476.06 for the original/regular price.
The bike Razi wants to buy costs
$250. He babysat 4 times for a total of 15
hours. He has also mowed the lawn 5 times.
Has he earned enough money to buy the
bike?
Answer:
Not enough information
Step-by-step explanation:
So, we first know that the bike costs 250 dollars. We also know that he babysat for 15 hours, and mowed the lawn 5 times. However, we do not know how much money he has, or how much he made. Sure, doing extra chores could of made him money, but in this question it doesn't say how much money he made. Therefore, we cannot answer this question because, although we have the value of the bike's cost, we do not know how much Razi has. Hope this helps you!
What is the coefficient of the term of degree 9 in the polynomial?
5+ 7x^9 + 12x - 5x^7 + 3x^2
Answer:
It is "7"
[tex]7 {x}^{9} [/tex]
Find the hypotenuse (c) of the right triangle.
Round your answer to the nearest tenth.
7m
11m
I NEED HELP WITH THIS QUESTION ASAP
Hypotenuse (x) of the right triangle = [tex] \sqrt{7² \: + \: 11²} [/tex]
Hypotenuse (x) of the right triangle = [tex] \sqrt{49 \: + \: 121} [/tex]
Hypotenuse (x) of the right triangle = [tex] \sqrt{170} [/tex]
Hypotenuse (x) of the right triangle = 13
The hypotenuse (x) of the right triangle is 13 m.
Hence, option (D) 13 m is correct. [Answer]Answer:14m+9=23
Step-by-step explanation:
The college dean obtains an alphabetical list of full-time students at her college and she selects the 26 names on that list and interviews those students to find them. Amount of student debt incurred by each of them. She uses the results to estimate the average (mean) amount of student debt incurred by college students in the united states. What type of sampling is used?
Answer:
The right approach is "Systematic sampling".
Step-by-step explanation:
Some kind of probabilistic sampling system where population or sampling units from some kind of broader group have been randomly chosen, although at a predetermined periodic interval, is termed as Systematic sampling.Where there would be a moderate possibility of information manipulation, it's indeed better to simply such samples.