All categories

3 years ago

If f(x) = 4x4 + 5x2 + 4, then what is the remainder when f(x) is divided by 2 + 2?

Mathematics

1 answer:

Westkost [7]3 years ago

4 0

Step-by-step explanation:

16+10+4

26+4

30÷(2+2)

30÷4

7 1/2

You might be interested in

Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of

scZoUnD [109]

Answer:

a) X ~ $e(0.03)$

b) μ = 100/3

c) $\sigma = 100/3$

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ $e(0.03)$

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is $\sigma = 1/0.03 = 100/3$

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0

3 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus 1 squared divided by 225 minus the quantity of y plus

miss Akunina [59]

Answer:

The vertices are (-16,-5) and (14,-5)

The foci are (-26,-5) and (24,-5)

6 0

3 years ago

If Tanisha has $nbsp 100 100 to invest at 66% per annum compounded semiannuallysemiannually, how long will it be before she h

Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6% = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × $e^{rt}$ ..........1

put here all value we get

amount = payment × $e^{rt}$

150 = 100 × $e^{0.06t}$

take ln both side

ln 1.5 = $e^{0.06t}$

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0

3 years ago

There are between 24 and 40 students in a class

defon

So,whats your question????

8 0

3 years ago

Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is 7 in.

Marrrta [24]

Answer:20 2/4

Step-by-step explanation:

7 0

2 years ago