Given the expression that represents the length of the rectangle:
\(3x-4\)And the expression that represents the area of the rectangle:
\(6x^4-8x^3+9x^2-3x-12\)You need to remember that the formula for calculating the area of a rectangle is:
\(A=lw\)Where "l" is the length and "w" is the width.
If you solve for the width, you get this formula:
\(w=\frac{A}{l}\)Therefore, you can write this expression to represent the width of the given rectangle:
\(\frac{6x^4-8x^3+9x^2-3x-12}{3x-4}\)In order to simplify it, you can follow these steps:
1. Rewrite this term in this form in the numerator:
\(3x=-12x+9x\)Then:
\(=\frac{6x^4-8x^3+9x^2-12x+9x-12}{3x-4}\)2. Group pair of terms in the numerator and factor the Greatest Common Factor (the largest factor each group has in common) out of the parentheses:
\(=\frac{(6x^4-8x^3)+(9x^2-12x)+(9x-12)}{3x-4}\)\(=\frac{2x^3(3x-4)+3x(3x-4)+3(3x-4)}{3x-4}\)3. Factor this Greatest Common Factor out in the numerator:
\(3x-4\)You get:
\(=\frac{(3x-4)(2x^3+3x+3)}{3x-4}\)4. By definition:
\(\frac{a}{a}=1\)Therefore, you get:
\(=2x^3+3x+3\)Hence, the answer is:
\(2x^3+3x+3\)Gabi finds a skirt she likes at the store for $45.99. If the tax rate is 5.8% how much will the skirt cost in total?
Answer:
$48.66
Step-by-step explanation:
$45.99 x 1.058 = 48.65742
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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Which of the following is the solution set of 6x + 5 = -29? {-4}
Answer:
\({ \tt{6x + 5 = - 29}} \\ { \tt{6x = - 36}} \\ { \tt{x = - 6}}\)
Three friends are participating in a charity run. Joy runs 6.8 miles, Simón runs 5.5 miles, and Kita runs 8.4 miles.
A. Find the total distance the friends run.
A bar diagram showing an unknown total. The model is divided into three unequal rectangles, Joy, Simon, and Kita.
8.4 miles
12.3 miles
13.9 miles
20.7 miles
B. If the three friends run the same total distance in the next charity run, but they all run the same distance, how many miles will each friend run?
8.4 miles
12.3 miles
13. 9 miles
6.9 miles
C. It took Simón 33 minutes to run 5.5 miles. Did he run faster or slower than 1 mile every 5 minutes? How can you tell?
He ran slower because 33 ÷ 5.5 = 6 and 6 minutes is greater than 5 minutes.
He ran faster because 33 ÷ 5.5 = 6 and 6 minutes is greater than 5 minutes.
He ran faster because he ran faster than 1 mile every 5 minutes.
He ran slower because he ran slower than 1 mile every 5 minutes.
The total distance run by three friends Jiy, Simon, and Kita is 20.7 miles.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Joy runs 6.8 miles, Simon runs 5.5 miles, and Kita runs 8.4 miles.\
Therefore, The total distance the friends run is the sum of their individual distances which is,
= (6.8 + 5.5 + 8.4) miles.
= 20.7 miles.
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1. What is the unknown number in Sequence 2 in the chart?
Answer:
147
Step-by-step explanation:
7×7=49
21×7=147
The original price of a bicycle is $129. The sale price is 80% off of the
original price. What is the amount off of the original price?
Answer:
$103.20
Step-by-step explanation:
You need to figure out what 80% of 129 is, and all you need to do that is 80% x 129, which would get you 103.2. It is $103.20 off the original price.
A company makes two types of electronic devices: laptops and tablets. Its business
plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets,
per day. The total number of devices it must make per day according to the plan
ranges from 150 to 220. Given that x is the number of laptops made per day, and y
is the number of tablets made, what are the daily constraints that the plan places on
the company?
The daily constraints that the plan places on the company are 150 to 220.
What are the daily constraints that the plan places on the company?A business constraint can be anything that's stopping a company from achieving its goals.
Analysis
f0 \(\leq\) x = 130
50 ≤ y ≤110
150 ≤ x+y=220
This is a linear planning question.
In the figure on the right, any point of the shadow part meets the Constraints.
Constraints can be business or technical in nature and are defined as restrictions or limitations on possible solutions.
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Mr. Britt is pouring a 36' x 58' concrete pad for a metal building. If concrete costs
$123.00 per cubic yard, what will be the cost of the concrete to pour the pad 8 inches
thick? A cubic yard of concrete = 27 cubic feet and Cu.Ft. = T'x W' x L' (Round up
to the nearest cubic yard when calculating concrete needed.)
a. $5,047.00
b. $6,396.00
c. $6,564.00
d. $7,329.00
Answer:
Step-by-step explanation:
8 in × (1 ft)/(12 in) = ⅔ ft
36 ft × 58 ft × ⅔ ft = 1392 ft³
1392 ft³ × (1 yd³)/(27 ft³) ≅ 52 yd³
52 yd³ × $123/yd³ = $6396
Quissssss !!!!!!!
7a - a + 3b - b = ?
Answer:
6a+2b
Step-by-step explanation:
Hope this helps!
6a + 2b
i hope it helps in some way
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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Which equation represents a line parallel to the line shown on the graph?
←++
-B
8
X
y-x-2
y=-x+3
y=2x+1
y=_2x+4
An equation that represents a line parallel to the line shown on the graph is y = 2x + 1
Equation of a lineA line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
Given the equation of the line as y = 2x + 3
The equation is parallel to the line must have the same slope. Since the slope of the line is 2, the correct equation will be the function with a slope of 2.
Hence an equation that represents a line parallel to the line shown on the graph is y = 2x + 1
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What is the equation of the line that passes through (2,-6) and has a slope of -1
what is 10000 x 40 - 16 + 1900 =
Answer:
401884
Step-by-step explanation:
Answer:
401884
Step-by-step explanation:
10000 x 40-16+1900=
400000-16+1900399984+1900401884Use the account statement above to answer the questions that follow. 1.1 Explain the meaning of the negative sign in the balance brought forward in this Statement. (2) (2) (2) (2) 1.2 What is the reason why some digits from the account number have been left out? 1.3 Determine the salary amount, A, paid into Ms Lerato's account on 21/02 2022. 1.4 Calculate the total bank fees charged in March 2022. The bank uses the formula below to calculate the withdrawal fees from the ATM. ATM withdrawal fee = R2,50 + R0,90 per R100 or part thereof. Verify, using the formula if the correct withdrawal fee was charged on 10/03/2022. (3) 1.5 At the end of March, the fixed monthly fee increased from R100,88 to R108,10.By what percentage did the fee increase? Give your answer to 1 decimal place. (3) [14]
1.1 The negative sign in the balance brought forward indicates that the account had an overdraft or negative balance at the beginning of the statement period. 1.2 The reason why some digits from the account number have been left out could be for security and privacy purposes.
Answers to the questions1.1 The negative sign in the balance brought forward indicates that the account had an overdraft or negative balance at the beginning of the statement period. It means that the account holder owed money to the bank.
1.2 The reason why some digits from the account number have been left out could be for security and privacy purposes. By omitting certain digits, the statement provides enough information to identify the account without revealing the complete account number, reducing the risk of unauthorized access or identity theft.
1.3 To determine the salary amount, A, paid into Ms. Lerato's account on 21/02/2022, we need to look for a credit transaction on that date. The statement does not provide specific transaction details, so it would be necessary to refer to the transaction history or contact the bank for the exact amount.
1.4 To calculate the total bank fees charged in March 2022, we need to add up all the bank fee charges listed in the statement for that month.
1.5 To calculate the percentage increase in the fixed monthly fee, we can use the following formula:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Percentage Increase = ((108.10 - 100.88) / 100.88) * 100
Percentage Increase ≈ 7.19% (rounded to 1 decimal place)
Therefore, the fee increased by approximately 7.19%.
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Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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Face cards
Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King
Hearts A♥ 2♥
3♥
4♥ 5♥6♥
7♥
8♥
9 10 J
Q♥
K♥
34
4+
5♦ 6♦ 74
9
10 J
Q+
K♦
34
4
5 6
74
9
10
J
K
34 4
5 6
74
9 10 J
Q+ K+
Suppose one card is drawn at random from a standard deck.
Color
Red
Red Diamonds 1+ 2+
Spades A4 24
Clubs 4 2
Black
Black
(a) Find the odds in favor of drawing a spade.
(b) Find the odds against drawing a five.
The required answer are :
a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.
b.the odds against drawing a five are:
Favorable outcomes: 4 Unfavorable outcomes: 48
Odds against drawing a five: 48:4 or simplified as 12:1.
Given that, suppose one card is drawn at random from a standard deck.
To find the odds in favor of drawing a spade, we need to determine the number of favorable outcomes (spades) and the number of unfavorable outcomes (non-spades).
In a standard deck of 52 cards, there are 13 spades (A♠, 2♠, 3♠, ..., 10♠, J♠, Q♠, K♠) and 39 non-spades (all other cards).
The odds in favor of drawing a spade can be expressed as the ratio of favorable outcomes to unfavorable outcomes. Therefore, the odds in favor of drawing a spade are:
Favorable outcomes: 13 Unfavorable outcomes: 39
Odds in favor of drawing a spade: 13:39 or simplified as 1:3.
(b) To find the odds against drawing a five, we need to determine the number of favorable outcomes (non-fives) and the number of unfavorable outcomes (fives).
In a standard deck of 52 cards, there are 48 non-fives (all cards except 5♠, 5♥, 5♦, and 5♣) and 4 fives (5♠, 5♥, 5♦, and 5♣).
The odds against drawing a five can be expressed as the ratio of unfavorable outcomes to favorable outcomes.
Therefore, the odds against drawing a five are:
Favorable outcomes: 4 Unfavorable outcomes: 48
Odds against drawing a five: 48:4 or simplified as 12:1.
Hence, the answer are:
a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.
b.the odds against drawing a five are:
Favorable outcomes: 4 Unfavorable outcomes: 48
Odds against drawing a five: 48:4 or simplified as 12:1.
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the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
look i need the answer quick
Answer:
Step-by-step explanation:
division
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
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a. A simple random sample of size 80 has a mean of 7.31. The population standard deviation is 6.26. Construct a 99% confidence interval for the population mean
Answer:
5.503484≤x≤9.116516
Step-by-step explanation:
The formula for calculating the CI is expressed as;
CI = x±z*s/√n
x is the mean= 7.31
z is the 99% z-score = 2.58
s is the standard deviation = 6.26
n is the sample size = 80
Substitute into the formula
CI = 7.31± 2.58*6.26/√80
CI = 7.31± 2.58*6.26/8.94
CI = 7.31± (2.58*0.7002)
CI = 7.31±1.806516
CI = (7.31-1.806516, 7.31+1.806516)
CI = (5.503484, 9.116516)
Hence the 99% confidence interval for the population mean is
5.503484≤x≤9.116516
pls help me asap"! pls answer this
Answer:
im sorry i dont know i like ur pfp tho!! :3
Step-by-step explanation:
i dont know i like ur pfp tho!! :3
3. Fill in the missing number: (6) (___) = 1
a. 6
b. -6
c. 0
d. 1/6
Answer:
the answer to your question is 1/6
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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bonsoir pouvez vous m'aidez
Answer:
Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.
✎ READ AND ANSWER EACH PROBLEM
PLSS ANSWER IT THE QUESTION IS IN THE PICTURE ⬆︎⬆︎⬆︎⬆︎⬆︎
Answer:
2. 40
3. 10,500
4. 240
Step-by-step explanation:
The formula for volume is Length * Width * Height.
2. 5*2*4 = 40
3. 35*15*20= 10,500
4. 6*4*10=240
OK WHAT IS THE FRACTION FORM OF THE RATIO 1:3
Answer:
Part A is 1/4
Part B is 3/4
Step-by-step explanation:
1(A):3(B)
brainliest?
What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
a trucker is driving on the highway traveling 65 miles per hour write an equation that shows the relationship between the number of hours of highway travel x and the number of miles traveled 7 answer quickly for 20 points!!
Rewrite in simplest terms:-2(-10v+1)-6v
Answer:
14v-2
Step-by-step explanation:
1. distribute
2. combine like terms
see photo for more information