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Fed [463]
3 years ago
9

PLEASE HELP ME!

Mathematics
1 answer:
algol133 years ago
5 0

Step-by-step explanation:

1.\sum_{i=1}^{5}3i

The simplest method is "brute force".  Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

2.\sum_{k=1}^{4}(2k)^{2}

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

3.\sum_{k=3}^{6}(2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

∑ = -4

4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4.  The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

\sum_{j=1}^{7}(\frac{1}{4})^{j-1}

5. -5 + -1 + 3 + 7 + 11

This is an arithmetic sequence where the first term is -5 and the common difference is 4.  The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

a = 4n − 9

So the series is:

\sum_{j=1}^{5}(4j-9)

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For each part, first decide which of the three methods sections will most easily enable you to sketch the surface. These are the
UkoKoshka [18]

Answer:

Step-by-step explanation:

We use these three methods

1. Generalized cylinder method

2. Surface of revolution method

3. Method of slices general quadratic

1. For A = x² = 4z + 8

We use the method of slices for general quadratic

2. X²-4y²-4z² = 16

We use the generalized cylinder method

3. Y² = z² + 2z²

We use surface of revolution

Please check attachment for answers

6 0
2 years ago
If 89 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would di
cricket20 [7]

Answer:

0.6836

Step-by-step explanation:

(weight - mean weight) = 48

Variance, s² = 204,304

Sample size, n = 89

We need to obtain the Zscore :

Zscore = (X - mean) / standard Error

Zscore = (weight - mean weight ) / (s/√n)

s = √204304 = 452

The difference from the meanncoukdnbe either to the right or left :

Zscore = - 48 / (452/√89) OR 48 / (452/√89)

Zscore = - 48 / 47.911904 OR - 48 / 47.911904

Zscore = - 1.002 or 1.002

P(Z < - 1.002) = 0.1582 (using Z table)

P(Z < 1.002) = 0.8418

P(Z < 1.002) - P(Z < - 1.002)

0.8418 - 0.1582

= 0.6836

6 0
2 years ago
What is the value of this expression
Finger [1]
8*8*8 = 512. Te negative gets removed.
7 0
2 years ago
Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an int
IceJOKER [234]

Answer: $‭3,927‬

Step-by-step explanation:

The interest will accrue as a simple interest rate for 10 years and then the grace period of six months.

The total time is therefore: 10.5 years.

Interest for those 10.5 years is:

= Loan amount * No. of periods * interest rate

= 5,500 * 10.5 * 6.8%

= $‭3,927‬

5 0
2 years ago
2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?
AysviL [449]

Answer:

2x² - 9x - 35

Step-by-step explanation:

f(x) × g(x) = (x - 7)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 5) - 7(2x + 5) ← distribute both parenthesis

= 2x² + 5x - 14x - 35 ← collect like terms

= 2x² - 9x - 35

7 0
3 years ago
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