Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =
Answers
Answer:5r2+2
Step-by-step explanation:
Distribute the Negative Sign:
=4r2−3r+2+−1(−r2−3r)
=4r2+−3r+2+−1(−r2)+−1(−3r)
=4r2+−3r+2+r2+3r
Combine Like Terms:
=4r2+−3r+2+r2+3r
=(4r2+r2)+(−3r+3r)+(2)
=5r2+2
Related Questions
Your current salary is $63,420.00. If you received a 5% raise last year, what was your salary last year before
your raise
Answers
The salary last year before the raise will be $60,400.00.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Your current salary is $63,420.00.
If you received a 5% raise last year.
Then the salary last year before the raise will be
Let x be the salary.
1.05x = $63,420.00
x = $60,400.00
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An escalator moves at a rate of 2 feet per seconds. At what rate does the scalator move in miles per houre?
5280 feet= 1 mile
A.0.02 miles per houre
B.0.34 miles per houre
C.068 miles per houre
D 1.36 miles per houre
Answers
Answer:
D
Step-by-step explanation:
Feet escalator can move in an hour
= 2×60×60
= 7200
Rate the escalator moves
= 7200÷5280
= 1.3636...miles/h
= 1.36miles/h (3s.f.)
why? bc it is. yup. mhm.
What is the slope of the line represented by the equation y = -1/2 X + 1/4
Answers
Step-by-step explanation:
y = -1/2 X + 1/4
comparing with y = mx+c
m = -1/2 and m is slop
henve slope = -1/2
rattlesnake and paxon colleges play 4 games againt eachother. the probabilities that rattlesnake and paxon will win wach game are 2/3 and 1/3. what is the probability if paxon losses all four games
Answers
The probability that Paxon loses all four games is 16/81.
In the games played between the Rattlesnake and Paxon colleges, the probability of each team winning the game is 2/3 and 1/3 respectively.
We find the probability that Paxon loses all four games.
Firstly, we can find the probability of Paxon losing a single game as:
P(Paxon loses) = 1 - P(Paxon wins)
P(Paxon loses) = \(1-\frac{1}{3}\) = \(\frac{2}{3}\)
To find the probability that Paxon loses all four games, we can assume that the events of losing a game are independent of each other.
This means that losing one game doesn't affect the probability of losing another game.
P(Paxon loses all 4 games) = P(Paxon loses game 1) × P(Paxon loses game 2) × P(Paxon loses game 3) × P(Paxon loses game 4)
P(Paxon loses all 4 games) = \((\frac{2}{3} )\times(\frac{2}{3} )\times(\frac{2}{3} )\times(\frac{2}{3} )\)
P(Paxon loses all 4 games) = \(\frac{16}{81}\)
Therefore, the probability that Paxon loses all four games is 16/81.
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There are 5 hidden treasures in Level 1 of a smartphone game. Each of the other
levels has 1 more hidden treasure than the previous level.
a. How can you use the level number in the game to determine the number of
hidden treasures in that level? Show your work.
Plz help<3
Answers
x = 1 level
x + 4 (since it starts with 5 treasures and one level = 1) = 5
so if you want to see level 5 for instance it would be:
x+4 = y which would be 5+4 = y = 9
hope this helps
What the meaning of "a sequence of length n"?
Answers
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. -8-7 -6 -5 -4 -3 -2 Y Line H 40- 35 30- 25 20 15 10 54 0 =5 10 -15 -20 -25- -30 -35- -40- 1 2 3 4 -S 5 6 7 -∞o 8
Answers
The equation of line H in fully simplified slope-intercept form is y = 15x + 10.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (40 - 10)/(2 - 0)
Slope (m) = 30/2
Slope (m) = 15.
At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 10 = 15(x - 0)
y = 15x + 10
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. The expression has a value equal to
\( \frac{2}3 \: \div {2}^{4} + ( \frac{3}{4} + \frac{1}{6} ) \: \div \frac{1}{3} \)
Answers
After solving thie expression using BODMAS rule we get the result equal to \(\frac{67}{24}\).
What is BODMAS?To solve arithmetic expressions of several operators, the BODMAS rule is a mathematics is a technique. We will solve an equation with several operators with the use of BODMAS. It provides the decoding of the mathematical phrase in the proper sequence.
B= Bracket
O= Of
D= Divide
M= Multiply
A= Addition
S= Subtraction
To solve this numerical expression,
\(\frac{2}{3}\) ÷ 2⁴ + (\(\frac{3}{4}\) + \(\frac{1}{6}\)) ÷ \(\frac{1}{3}\)
Use BODMAS method
\(\frac{2}{3}\) ÷ 16 + (\(\frac{9+2}{12}\)) ÷ \(\frac{1}{3}\)
\(\frac{2}{3}\) ÷ 16 + (\(\frac{11}{12}\)) ÷ \(\frac{1}{3}\)
\(\frac{2}{3}\) × \(\frac{1}{16}\) + (\(\frac{11}{12}\)) × 3
\(\frac{1}{24}\) + \(\frac{33}{12}\)
\(\frac{67}{24}\)
The expression has a value equal to \(\frac{67}{24}\).
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Maria's grandmother gave her a gift of $2,000 for her birthday in November 2015. She deposited this into a savings account on January 2, 2016, after the holidays. The savings bank offered 0.725% interest at the time. Over the next year, the inflation rate averaged 1.3%. Now consider the following statements:
Statement I: In 2016, the buying power of Maria's gift decreased by about 0.6%.
Statement II: Maria's gift earned around $14.50 in interest during 2016, but this amount did not keep up with inflation.
Statement III: Maria's savings account had less than $2000 in it by the end of 2016.
Statements I and II are correct, but not Statement III.
None of the statements are correct.
All the statements are correct.
Statements I and III are correct, but not Statements II.
Statements II and III are correct, but not Statements I.
Answers
According to the given question we can conclude that statement I and statement II are correct but not statement III.
Define interest?Interest is the cost incurred when lending and borrowing a specific amount of money from a financial standpoint. It is crucial to note that interest is calculated as a percentage.
given,
Statement I is correct because the inflation rate averaged 1.3%, and Maria's savings account earned interest at a rate of 0.725%, which is lower than the inflation rate. This means that the buying power of her gift decreased by approximately 1.3% - 0.725% = 0.575% or 0.6% (rounded).
Statement II is also correct because Maria's savings account earned interest on the deposit of $2,000 for one year at a rate of 0.725%. The interest earned can be calculated as:
Interest = Principal x Rate x Time
Interest = $2,000 x 0.00725 x 1 year
Interest = $14.50
However, statement III is not correct. Since Maria deposited the entire gift of $2,000 into the savings account and did not make any withdrawals during the year, the balance in the account at the end of 2016 would be the sum of the initial deposit and the interest earned, which is $2,000 + $14.50 = $2,014.50. Therefore, the correct option is:
Statement III is incorrect, however Statements I as well as II are true.
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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What is the slope of line M.
What is a?
What is B?
Answers
Answer: A 2,2
Step-by-step explanation: 1 - 1 something
) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
Answers
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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330 men took 30 days to finish a work then how many men will be required to finish the same work in 11 days...???
In your birthday party there was food for 20 friends for 2 hours but 30 friends attened the party. Till how long did the food last...???
Answers
Step-by-step explanation:
data given
men 330 ,days30
men? ,days11
from
men(m) are inversely proportional todays (d)
m=k/d
330×30=k
k=9900
now,
m=9900/11m
m=900
data given
friends 20, time 2hours
friends 30, time?
from
friends (f) are inversely proportional to time (t)
f=k/t
k=20×2
k=40
now,
t=40/30
t=1.3(1:18)
answer ,men required are900answer the food will last for1:18can somebody help me with this
Answers
Answer:
\(y = -x^2+3x+4\)
Step-by-step explanation:
( -1, 0) , (0, 4) , (4, 0)
y = a(x − b)(x − c)
x-intercept = -1
x = -1
(x + 1) = 0
x-intercept = 4
x = 4
(x - 4) = 0
y = (x + 1)(x - 4)
4 = a(0 + 1)(0 - 4)
4 = a (1)(-4)
4 = -4a
a = -1
y = -1(x + 1)(x - 4)
\(y = -x^2+3x+4\)
What is the range of the following relation?
Answers
Answer:
Y less than or equal to zero
Step-by-step explanation:
The graph shows that its moving downwards, therefore the Y value is decreasing..
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
After the end of everyday, a production plant's maintenance crews check on the machinery and grade each item's state of repair. A particular robot arm can be given ve grades: Excellent, Good, Satisfactory, Watch, Failed. If the robot arm is tagged with a Failed grade, a crew will be sent the next day to repair it. There is about a 60% chance the crew will be successful in repairing the arm back to an Excellent condition. Otherwise, they have to try again the next day to x it. The general wear and tear of operation causes at most a single level of deterioration a day and this grade decrease happens about 25% of the time. During the day, the operators can tinker with the arm and are able to increase (if possible) the repair grade level 10% of the time. The operators cannot improve a Failed arm. Management wants to model the daily grade level of a robot arm.
Required:
a. State any assumptions you need to utilize a Discrete Time Markov Chain.
b. What are the possible states of your DTMC?
c. Give the TPM.
d. Draw the TPD
Answers
Answer:
It would be C
Step-by-step explanation:
I have done this before!
Identify the slope and y-intercept of the following equation. 13x-9y=27
Answers
Answer:
The slope is 13/9 and the y intercept is -3
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
13x -9y = 27
Subtract 13x from each side
13x -9y -13x =-13x+ 27
-9y = -13x+27
Divide each side by -9
-9y/-9 = -13x/-9 + 27/-9
y = 13/9 x -3
The slope is 13/9 and the y intercept is -3
What is the y-intercept for the equation –2x + 5y = –10?
(0, 2)
(0, –5)
(0, –2)
(0, 5)
Answers
The y-intercept for the equation is (0, -2). So option C is correct.
What are intercepts of a line ?When a line crosses the x-axis, or the location where y=0, this point is known as the x-intercept of the line. Setting y=0 in the equation of the line will allow you to find the x-intercept of the line. Typically, the x-intercept is shown as (a,0), where a represents the point's x-coordinate.
The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.
Given that,
A line,
-2x + 5y = -10
y-intercept = ?
-2 x 0 + 5y = -10
5y = -10
y = -10/5
y = -2
Hence, the y-intercept is (0, -2)
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Cleo buys a new car for $18,900. The simple interest rate is 6.6% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Answers
Answer:
$6,237 down payment
Step-by-step explanation:
calculated \(18,900\)×\(6.6%\)%×\(5 = $6,237\)
the instructions are on the image please help me and please hurry!
Answers
The elements in matrix X is attached below
What is MatrixMatrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.
In this problem, we can easily find x by reversing the variables and solve.
A - X = B
X = A - B
The elements in the matrix can be solved easily using an online calculator.
The value of x is attached below
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Try This question out and I’ll give you brainliest
Answers
Answer:
(d) ρ = 0.83 g/cm
Step-by-step explanation:
You want the density of a piece of driftwood that has a mass of 25 g and a volume of 30 cm³.
DensityUse the given formula with the given numbers, and do the arithmetic.
ρ = m ÷ V
ρ = (25 g)÷(30 cm³) = (25/30) g/cm³ = 0.83 g/cm³
The solution is Option D.
The density of the driftwood is given by the equation D = 0.83 kg/cm³
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the density of the material be represented as D
Now , the equation will be
The mass of the material = m
The value of m = 25 grams
The volume of the material = v
The value of v = 30 cm³
So , density D = m / v
Substituting the values in the equation , we get
Density of driftwood D = 25/30
On simplifying the equation , we get
Density of driftwood = 0.83 kg/cm³
Hence , the equation is D = 0.83 kg/cm³
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A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
Answers
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
An apartment building has 9 apartments that are being rented. The data shows the monthly rent for each apartment.
$1,710 $1,515 $1,410 $1,435 $1,555 $1,595 $1,690 $1,575 $1,640
Create a stem display for this data.
Answers
The stem display for the data, given the monthly rent and the apartment building is:
$14 | 10 15 35
$15 | 15 55 75 95
$16 | 40 90
How to make the stem display ?To create a stem display, we first divide the data into groups of tens. The first group is $ 1400 -$ 1499, the second group is $ 1500 - $1599 , and so on. Next, we write the units digit of each number in the appropriate group.
For example, the number 1,710 is in the $ 1500 - $ 1599 group, so we write a 1 in the 15 column. Finally, we count the number of numbers in each group. There are three numbers in the $ 1400 - $ 1499 group, two numbers in the $ 1500 - $ 1599 group, and three numbers in the $ 1600 - $ 1699 group.
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fruit salad for 5 people needs 400g of melon, 120g of mango, 0.3kg of banana and 0.45kg of grapes. How much will it weigh in grams if it was made for 15 people?
Answers
x=2170g for 15 people
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Answers
We know that he used 5/6 gallons of gas per hour of driving.
So, the total amount of gas he used is 5/6 * x.
We also know that he used a total of 5 3/4 gallons of gas.
So, we can set up the equation:
5/6 * x = 5 3/4
To solve for x, we can first convert 5 3/4 to an improper fraction:
5 3/4 = 23/4
Then, we can multiply both sides of the equation by the reciprocal of 5/6:
x = (5 3/4) / (5/6)
x = (23/4) / (5/6)
x = (23/4) * (6/5)
x = 27.6/4
x = 6.9
Therefore, Pablo was driving for a total of 6.9 hours.
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Which type of sampling method is being employed in the following example?
The principle of Phoenix High School is conducting an in depth study of graduates since
she has been there. Firstm she creates a list of every student that has graduated since
she has been principle and assigns each graduate a number 1 to 1241. She then has a
computer randomly select 40 numbers between 1 and 1241 to determine which
students she will include in her sample.
O Simple Random Sampling
O Stratified Sampling
O Cluster Sampling
O Sampling of Convenience
O Systematic Sampling
Answers
The sampling method used in this problem is classified as:
Simple Random Sampling
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.
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pls help ill give brainliest
Answers
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
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The table below shows a company's Manufacturing Cost, Overhead, Total
Sales, Profit, and Dividend per Shareholder over 4 years. Assume the
relationships among Manufacturing Cost, Overhead, Total Sales, Profit,
and Dividend per Shareholder remain the same over the years.
What should have been the Dividend per Shareholder in 2017,
assuming the number of Shareholders has remained unchanged
during the period 2017-2020?
SELECT ONE ANSWER
$17.45
$19.50
$20.00
$25.00
Answers
The Dividend per Shareholder in 2017 is $20.
As, Dividend per Shareholder = Profit / Number of Shareholders
Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.
Based on the given table, the profit for 2017 is $7,000.
Dividend per Shareholder in 2017
7000/x = 15500 / 44.29
7000/x = 349.966
x = 7000/349.966
x= 20.01
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Answer the questions below to find the total surface area of the can.
Answers
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER