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4 years ago

Find the 1000th term for the sequence

Mathematics

1 answer:

Mariana [72]4 years ago

3 0

Answer:

D. 7017

Step-by-step explanation:

if 24 is the first term, find 7x999, or 7x1000-7 and add 24

however a better way would be to use the formula

value=a+(n-1)d

a = the first term in the sequence (24)

n = the amount of terms you need (1000)

d = the common difference between terms (7)

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Solve the equation 6w2 – 7w – 20 = 0.

azamat

For this case we have the following quadratic equation:

$6w ^ 2-7w-20 = 0$

Where:

$a = 6\\b = -7\\c = -20$

Its roots will be given by:

$w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}$

The roots are:

$w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}$

Answer:

$w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}$

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3 years ago

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Evalute j/4 when j = 12

Allushta [10]

Answer: I think the answer is 3

Step-by-step explanation: I Divided 12 by 4 and got the answer 3

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3 years ago

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Find the total surface area of the cubic box below

Alik [6]

The answer is 24 square feet.

$sa =surface \: area$
$sa \: \: \: {of cube}= l \times w \times 6$
$l = 2 \: ft \\ w = 2ft$
$l \times w = 4$
$2 \times 2 = 4$
$(l \times w) \times 6$
$(2 \times 2) \times 6$
$(4) \times 6$

$= 24 \: square \: \: feet$

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3 years ago

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3 years ago

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of

fenix001 [56]

Answer:

3.6 years

Step-by-step explanation:

Using the standard normal probability distribution table, we obtain the Zscore which is 10% to left of the distribution.

The Zscore gives, - 1.282

To obtain the number of years, let this be x ;

Recall, the Zscore formula :

Zscore = (x - μ) / σ

x = number of years

μ = 5.8

σ = 1.7

Zscore = (x - μ) / σ

-1.282 = (x - 5.8) / 1.7

-1.282 * 1.7 = x - 5.8

-2.1794 = x - 5.8

-2.1794 + 5.8 = x

x = 3.6206

x = 3.6 years

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3 years ago