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son4ous [18]
3 years ago
7

Find the sum of the following series:

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

The sum is 2635

Step-by-step explanation:

I did this problem

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What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?
AlladinOne [14]

Answer:

  -1

Step-by-step explanation:

See the attachment for the polynomial long division. The constant in the quotient is -1.

_____

Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.

That could be a first guess in a "guess and check" solution approach.

<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).

<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2

Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.

6 0
3 years ago
Suppose set A is the set of all U.S. states and set B is the set of all U.S. cities which are state capitals. Now, suppose the r
yarga [219]

Answer:

A

Step-by-step explanation:

ghfgkjhydrk;l'klhh

8 0
3 years ago
Round to one decimal place (BRAINLIEST)
Semmy [17]

Answer:

4.3

Step-by-step explanation:

Apply trigonometric ratios to find the answer.

Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.

From angle theta, the trigonometric ratio sine can be used:

sinθ = \frac{4.1}{5.3}

After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.

Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.

sin50.7 = opposite/hypotenuse

sin50.7 = CD/5.5

sin50.7 * 5.5 = CD

4.3 ≈ CD

8 0
3 years ago
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350
Paraphin [41]

Answer:

On first visit, weight =550 g

Weight gained on second visit= 350 g

Weight gained on third visit= 300 g

Present weight=550+350+300= 1200

Weight gained=1200-550=650

Percentage of weight increased

-------->650/550 × 100 = 118.18\%

So the kitten gained 118% weigh

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Step2247 [10]
Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)




Answer
5 0
2 years ago
Read 2 more answers
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