Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72
Rational expressions are expressions that can be represented as a quotient
The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
The expression is given as:
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]
Expand the numerator as follows
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]
Multiply the factors on the numerator
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]
Collect and evaluate like terms
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]
Remove the brackets
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]
This means that:
[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent
Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
Read more about rational expressions at:
https://brainly.com/question/25292194
find the radius of a circle with an area of 100 in^2
I will give brainliest and 25 points!
Answer:
The answer is the following:
r≈5.64in
Answer:
5.641
Step-by-step explanation:
If you think about it, the formula for getting the area of a circle is:
[tex]a = \pi r^2[/tex]
So to rearrange and make r the subject, divide both sides of the equation by pi:
[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]\frac{a}{\pi} = r^2[/tex]
Now square root both sides to find r:
[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]
Plug the known area value in:
[tex]\sqrt{\frac{100}{\pi} } = r[/tex]
= 5.641
Hope this helps!
Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?
The International Financial Reporting Standards developed standards can
be implemented to ascertain the provisions and disclosures to be made.
The correct responses are;
According to the financial reporting standard, the contingent liability that
Amazon Inc. should disclose and the provision that Amazon Inc. should
recognize, based on the legal consent are;
Lawsuit 1: It is not required to make provision or disclosure because the
probability of the lawsuit progressing is remote and therefore, the
Company will not be required to payout money or lose economic benefits.
Lawsuit 2: The likelihood of the Company having pay the displaced
employees is high however, the amount payable is $2 million, and
therefore, a provision of $2 million is required in the financial reporting.
Lawsuit 3: The Company is not legally obliged to pay for or perform the
cleanup, but based on the relationship between the Company's waste
location, the river, and the community, there is a constructive obligation,
the amount of which cannot be determined with reliability.
Therefore, there is a requirement for disclosure as a contingent liability,
and not a provision as the claim cannot be classified as a provision.
Learn more here:
https://brainly.com/question/17371330
What is the slope of the function?
O-6
O 4
O 4
O 6
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
Alexis baked 87 dozen brownies. How many brownies does she have
Answer:
1,044
Step-by-step explanation:
Answer:
Step-by-step explanation:
1044
Plz help I need help
Answer:
a is 4 because 4 x 16=20 i hope this help
a + 16 = 20
a = ?
a = 20 + 16
a = 36
a = 36 ✔️
please help 368.9 − 234.78
Answer:
134.12
Step-by-step explanation:
Subtraction.
Tell me if you want a step by step.
Hope this helped. :)
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per
How long does it take for the groundhog to reach a depth of
-2.6 feet?
Answer:
4.5
Step-by-step explanation:
I took the test and got it right
Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.
It digs straight up at a rate of 0.8 feet per minute.
Here, rate =6.2/0.8
= 7.75 feet per minute
Now, the time is 2.6×7.75
= 20.15 minutes
Therefore, it takes 20.15 minutes for the groundhog to reach a depth of
-2.6 feet.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?
a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?
Answer:
C
Step-by-step explanation:
Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Answer:
3/4 hour
Step-by-step explanation:
The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.
The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.
Andrea should plan on walking back for 3/4 hour.
You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)
Answer:
Step-by-step explanation:
if 50 AED= 12 Euro
for 1 AED ? Euro
50AED/1AED= 12Euro/x
cross multiplication:
50*x=12*1
50*x=12
x=12/50
x=0.24 Euro
so for 1AED you will get 0.26 Euro
11/6= 1/p
Pls help!!
Answer:
p = 6/11
Step-by-step explanation:
11/6 = 1/p
=> 11p = 6
=> p = 6/11
Hoped this helped.
Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond? The probability that at least one of them is careful about personal information is
Answer:
So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.
Step-by-step explanation:
The required probability is 0.981 that at least one of them is careful about personal information.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.
Four randomly selected Internet users, at least one is more careful about their personal information.
As per the given question,
Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0
As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)
P(X = 0) = 4C0 × 0.63^0 × 0.37^4
P(X = 0) = 0.0187
P(X ≥ 1) = 1 - 0.0187
Apply the subtraction operation, and we get
P(X ≥ 1) = 0.981
Thus, the required probability is 0.981 that at least one of them is careful about personal information.
Learn more about the binomial theorem here:
brainly.com/question/27813780
#SPJ2
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
What is the solution of the system of inequalities y>x^2+6x+10 y<-x^2-8x-14
Answer: hopefully this helps!
what as 9 squared? i need this
Please help!!! if i can ill give brain thing sometimes it wont let me!!
Answer:
1)24
2)15
3)5
4)48
Step-by-step explanation:
Answer:
I'm answering 1 and 2, okay?
Step-by-step explanation:
Q1: 24,36,12
Q2: 12, D
Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.
Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.
And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)
Hello, is there anyone here a pharmacy technician?
What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):
[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]
The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:
[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]
Now we have both the slope and the y-intercept so you can write the equation for the line:
[tex]y=8x-25[/tex]
You can test that either by checking y for some value of x, or by graphing.
In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of A. If a student is chosen at
random from this class, what is the probability of choosing a girl or a student who did not receive an A on the exam?
1
0.76
2
0.64
3
0.40
0.28
Submit Answer
Answer:
Step-by-step explanation:
b=boy
a= a on the exam
b=15
b∩a=6
b'∩a=3
b'∪a'=?
b'∪a'= b'+a'-b'∩a'
a= b∩a+b'∩a (law of total probability) = 9
a'= 25-9 = 16
b'= 25-15= 10
16+10-7=19
19/25= .76
with a diameter of 9 cm
Use their work to answer
questions 1-2
A-3.14
A-254.34
1 Describe Ben's mistake in solving for the
area of the circle.
Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.
1,200×30%×25%×3% lempiras
Answer:
2.7
Step-by-step explanation:
1200x 30/100×25/100×3/100=2.7
Multiply or divide. write fractions in simplest form.
-2/7 divided by (-8/21)
please help with this problem i will mark you brainliest :)
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
When dividing by a fraction flip it over and multiply
(-2/7) * (-21/8)
Cancel 2 and 8
(-1/7) * (-21/4)
Cancel 7 and 21
(-1/1) * (-3/4)
multiply
3/4
hii, i need help with this word problem :)
Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:
222 + 10x = 148 + 12x
Subtract 10x from both sides:
222 = 148 + 2x
Subtract 148 from both sides
74 = 2x
Divide both sides by 2
X = 37
Answer: 37 weeks
A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices
Answer:
$72.75
Step-by-step explanation:
15% of $85 is $12.75
$85 - $12.75 = $72.25
Calculate percentage to the nearest 0.1%.
The markup on desserts in a restaurant is 70% of the menu price. The restaurant is adding key lime pie to its dessert list.
The cost to the restaurant works out to $1.25 per slice.
Determine:
a. The menu price of a slice of pie. (Round your answer to the nearest cent.)
Price
$
b. The rate of markup on cost. (Round your answer to one decimal place.)
Rate
%
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.
Answer:
Sorry need points
Step-by-step explanation:
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answer:
False
Step-by-step explanation:
The sides are not equal.
please help! will mark brainlist
Answer:
Step-by-step explanation:
Group B, lower values of dots, with lower amounts of dots.
Help help help help help math math please please pelsss
Answer:
Both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
Step-by-step explanation: