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3 years ago

Divide f(x)=x^(4)+3x^(3)+2x^(2)-18x-30;d(x)=x^(2)+3x+5

Mathematics

1 answer:

Damm [24]3 years ago

5 0

Answer:

i tried but my calculator said error...im sorry

Step-by-step explanation:

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Can anyone help and explain the answer ?

Readme [11.4K]

Answer:

X=65

Step-by-step explanation:

The picture is not very good, but i guess tht x is angle on the section. Right?

If it is true we have that:

The angle formed by two intersection chode is:

X=1/2(30+100)

X=130/2

X=65

3 0

3 years ago

A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and

Phoenix [80]

Answer:

There can be 14,040,000 different passwords

Step-by-step explanation:

Number of permutations to order 3 letters and 2 numbers (total 5)

(AAANN, AANNA,AANAN,...)

= 5! / (3! 2!)

= 120 / (6*2)

= 10

For each permutation, the three distinct (English) letters can be arranged in

26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways

For each permutation, the two distinct digits can be arranged in

10!/(10-2)! = 10!/8! = 10*9 = 90 ways.

So the total number of distinct passwords is the product of all three permutations,

N = 10 * 15600 * 90 = 14,040,000

7 0

3 years ago

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly

exis [7]

Answer:

8.45 grams

Step-by-step explanation:

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

1 mg = 0.001 g

8450 mg = x

Cross Multiply

= 8450 × 0.001 g

= 8.45 g

Therefore, Shelly should enter 8.45 grams

7 0

3 years ago

In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population

Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

$y=a(1+r)^{t}$

Here,

y = final value

a = initial value

r = growth rate

t = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of r as follows:

$y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145$

Now, compute the time it will take the population to grow to 800 insects as follows:

$800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17$

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0

3 years ago

If g(x) = 1 - ¾ x find: -5g(4) - 1

cricket20 [7]

Answer:

-5g(4) - 1 is 9

Step-by-step explanation:

$g(x) = 1 - \frac{3}{4} x$

when x is 4:

$g(4) = 1 - \frac{3}{4} \times 4 \\ = 1 - 3 \\ = - 2$

therefore:

$- 5g(4) - 1 = - 5( - 2) - 1 \\ = 10 - 1 \\ = 9$

5 0

3 years ago

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