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3 years ago

Simplify completely 12x^3-4x^2+8x/-2x PLEASE HELP

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

The answer is 12x^3-4×^2-4

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Calculate s26 for the arithmetic sequence in which a14=4.1 and the common difference is d=1.7

sweet-ann [11.9K]

Answer:

The value of $s_{26}=84.5$

Step-by-step explanation:

We have given $a_{14}=4.1$

d=1.7

We have to find $s_{26}$

So, $a_{14}=a+13d$ from the formula

$a_n=a+(n-1)d$

When n=14

$a_{14}=a+(14-1)(1.7)=a+13(1.7)$

$4.1=a+22.1$

$-18=a$

$a=-18$

Using the formula:

$s_n=\frac{n}{2}[2a+(n-1)d$

When n=26

$s_{26}=\frac{26}{2}[2(-18)+(26-1)(1.7)]$

On simplification we get:

$s_{26}=84.5$

8 0

3 years ago

Prime number between 60 and 80 with the 10’s digit being one less than the 1st digit

erastova [34]

It would be 89.

You can also just look up a list of prime numbers online.

8 0

4 years ago

Rafael Drive 405 miles using 20 gallons of gas. At that rate, how many gallons of gas would he need to drive 243 miles?

ANEK [815]

This is how I'd set it up:
405/20 = 243/x
this means the mpg (miles / gallons) for 1 situation is the same as the mpg for the other situation (because the rate is the same)
then just cross multiply and solve:
405x=243*20 or 405x=4860 or x = 12
he would need 12 gallons of gas for 243 miles

3 0

4 years ago

The Yoga class you wish to take is offering two price quotes: $120 for 5 weeks as (15 classes) or $160 for 8 weeks (24 classes).

True [87]

The answer is B $1.05

3 0

3 years ago

Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$

Now, Probability that customer is female = $\frac{30}{50}$

Also, Probability that customer pays bill by mail and is female = $\frac{6}{50}$

So, Required probability = $\frac{\frac{6}{50} }{\frac{30}{50} }$

= $\frac{6}{50}\times \frac{50}{30}$

= $\frac{1}{5}$ = 0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0

3 years ago