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3 years ago

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 3 2t2 − 3t + 3

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Replace t with -2 and solve for a number. It should work since it's not a fraction.

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Here are the first four terms of a sequence.

Nataly_w [17]

Answer:

aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

1, 4, 9, 16

and find out that doubling each term gives us

2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

The first term:

a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1

The second term

a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1

The third term:

a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

The fourth term:

a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

The nth term as per observation above is:

aₙ = 2n² + n + 1

8 0

3 years ago

Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

$A=(3, 2)$

$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

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2 years ago

If there are four slices of turkey on Hector's sandwich, how much does the turkey on his sandwich cost?

pishuonlain [190]

Answer:

3.22580645161

Step-by-step explanation:

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3 years ago

Which rays are part of like BE

tensa zangetsu [6.8K]

Answer:

What rays?

Step-by-step explanation:

Is it the new album of BtS?

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3 years ago

A 16-ounce can of carrots for $1.29 OR a 20-ounce can of carrots for $1.49

schepotkina [342]

Answer: 20 ounce

Step-by-step explanation: 1.29/16=0.080625 1.49/20=0.0745

5 0

3 years ago

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