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REY [17]
3 years ago
8

(n^3 +67² + 4n - 2)/(n + 1)

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

(n^3 + 4 n + 4487)/(n + 1)

Step-by-step explanation:

Simplify the following:

(n^3 + 4 n - 2 + 67^2)/(n + 1)

| | 6 | 7

× | | 6 | 7

| 4 | 6 | 9

4 | 0 | 2 | 0

4 | 4 | 8 | 9:

(n^3 + 4 n - 2 + 4489)/(n + 1)

Grouping like terms, n^3 + 4 n - 2 + 4489 = n^3 + 4 n + (4489 - 2):

(n^3 + 4 n + (4489 - 2))/(n + 1)

4489 - 2 = 4487:

Answer: (n^3 + 4 n + 4487)/(n + 1)

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Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar
Tom [10]

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

7 0
3 years ago
Find the sum of this infinite geometric series where a1=0.3 and r=0.1
ratelena [41]

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

S=\frac{a_1}{1-r} where r is between -1 and 1 and r is the common ratio, and a_1 is the first term of the series.

So let's plug in:

S=\frac{0.3}{1-0.1}

S=\frac{0.3}{0.9}

S=\frac{3}{9} I multiplied bottom and top by 10.

S=\frac{1}{3} I divided top and bottom by 3.

The sum is 1/3.

8 0
3 years ago
Why is the answer to 12x12 the same as 6x24?
allochka39001 [22]
Both sets of numbers have the same factors:

12 × 12:

= (2× 2× 3) × (2 × 2 × 3)

= 2^4 × 3^2

6 × 24

= (2 × 3) × (2 ×2 × 2 × 3)

= 2^4 × 3^2


4 0
3 years ago
Read 2 more answers
In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
What is the slope intercept form of the equation of the line that passes through the points (2,7) and (4,-1)
natka813 [3]

Slope intercept form is y = mx + b.

Y = coordinate y.

M = Slope

X = coordinate x.

B = y-intercept.

Slope formula: (y2-y1) / (x2-x1)

Plug in: (-1 - 7) / (4 - 2) = -4.

We can just insert the pair (2,7) as our x and y to solve b.

7 = -4(2) + b.

Solve for b.

7 = -8 + b.

-b = -8 -7

-b = -15

b = 15.

Original equation:

y = mx + b

y = -4x + 15

5 0
3 years ago
Read 2 more answers
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