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Setler79 [48]
3 years ago
14

the first term of an arithmetic sequence is 3000 and the tenth term is 1200. the sum of the first 20 terms of the sequence

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Step-by-step explanation:

B

1100

To find the sum of the first n terms of an arithmetic series use the formula,

S

n

=

2

n(a

1

+a

n

)

S

20

=

2

20(10+100)

S

20

=

2

2200

S

20

=1100

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What are the possible number of positive, negative, and complex zeros of f(x) = 3x4 - 5x3 - x2 - 8x + 4?
postnew [5]
I am using the Descartes Rule of Signs.

f(x) = 3x^4 - 5x³ - x² - 8x + 4

positive zero: 2 or 0.
x = + - - +
There are 2 sign changes : + to - ; - to +.

negative zero: 1.

f(-x) = 3(-x^4) - 5(-x³) - (-x²) - 8(-x) + 4
f(-x) = 3x^4 + 5x³ - x² + 8x + 4

-x = + + - + +

there is only 1 change of sign. - to +.

There are 2 or 0 positive solutions and 1 negative solution. 






6 0
3 years ago
Read 2 more answers
The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle
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This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
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We can plug C in the equation:
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What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
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4 years ago
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One teacher wants to give each student 6/7 of a slice of pizza . if the teacher has 6 slices of pizza , then how many students w
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8 0
3 years ago
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gavmur [86]

9514 1404 393

Answer:

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Step-by-step explanation:

The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:

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Answer:

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Step-by-step explanation:

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