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2 years ago

Factorise 18a³b³- 27a²b³ +36a³b²

Mathematics

1 answer:

irinina [24]2 years ago

3 0

Answer:

(9a^2b^2(2ab - 3b + 4a).

Step-by-step explanation:

Take out the GCF.

The GCF is 9a^2b^2 so the factors are

(9a^2b^2(2ab - 3b + 4a).

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A bicycle is traveling at 20 feet per minute. What is the bicycle's speed expressed in inches per second?

Vikentia [17]

Answer:

4 inches per second

Step-by-step explanation:

Speed = distance/time

Given

Distance = 20 feet

12 inches = 1 foot

X inches = 20 feet

X = 20 x 12 = 240 inches

Time = 1 minute = 60 secs

Therefore

Speed = 240/60

= 4 inches per second

7 0

2 years ago

The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th

Anit [1.1K]

we are given

$a=f(t)=2t^2$

we can use average rate of change formula from t=a to t=b

$A=\frac{f(b)-f(a)}{b-a}$

Here, we are given from t=1 to t=4

so, we will get formula as

$A=\frac{f(4)-f(1)}{4-1}$

now, we can plug values

$A=\frac{2(4)^2-2(1)^2}{4-1}$

now, we can simplify it

$A=10$

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4 is 10 acres/ month.............Answer

6 0

2 years ago

At UF, there are always a few days between the end of classes and the beginning of final exams. These days are meant as a study

Natalija [7]

Answer:

This sample is not representative of all UF students, since those who are not local are not considered.

Step-by-step explanation:

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

However, the sample has to be representative

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected Buffalo residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents. This is not representative of all New York State residents, just Buffalo residents.

In this problem, we have that:

They conduct a phone survey (with local numbers selected at random from the student directory) calling people during "dead week". Will this sample be representative of all UF students?

They only call those students with local numbers.

However, in an university, it is expected that there will be a good percentage of non local students.

So this sample is not representative of all UF students, since those who are not local are not considered.

8 0

2 years ago

Darcie wants to crochet a minimum of 3 blankets. Darcie crochets at a rate of 1/15 of a blanket a day. She has 60 days until she

NNADVOKAT [17]

Answer:

The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:

$s\leq 15$

Step-by-step explanation:

The complete question is:

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.

Solution:

Given:

Darcie wants to crochet a minimum of 3 blankets to donate.

Rate at which she crochet = $\frac{1}{15}$ of a blanket per day.

Maximum number of days she has = 60.

To find the number of days Dancie can skip out of 60 days and still reach her goal.

Let $s$ represent the number of days she can skip.

Number of days left to crochet = $(60-s)$ days

At rate of $\frac{1}{15}$ of a blanket per day, number of blankets Dancie can corchet in $(60-s)$ days can be given as :

⇒ $\frac{1}{15}(60-s)$

Simplifying using distribution.

⇒ $(\frac{1}{15}.60)-(\frac{1}{15}.s)$

⇒ $4-\frac{s}{15}$

Dancie needs to crochet a minimum of 3 blankets to reach her goal.

Thus, the inequality can be given as:

$4-\frac{s}{15}\geq 3$

Solving the inequality for $s$

Subtracting 4 both sides.

$4-4-\frac{s}{15}\geq 3-4$

$-\frac{s}{15}\geq -1$

Multiplying both sides by -15.

$-15(-\frac{s}{15})\leq -15(-1)$ [On multiplying by a negative number the sign of inequality reverse]

∴ $s\leq 15$

Thus, Dancie can skip a maximum of 15 days.

5 0

2 years ago

To go on the class trip, chang needs at least $125. he has saved $45, and he makes $7 an hour at his job. what is the minimum nu

Murljashka [212]

The total amount that Chang will received from his wages is the product of his hourly wage times the number of hours he has worked (n). His total savings should not be less than $125. The equation that best describes the situation is,
45 + 7n ≥ 125
Solving for n in the inequality gives an answer of n≥11.42 hours. Thus, he needs to work for at least 12 hours.

6 0

2 years ago

Read 2 more answers

Factorise 18a³b³- 27a²b³ +36a³b²​

Factorise 18a³b³- 27a²b³ +36a³b²