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likoan [24]
3 years ago
9

Nth term of 1 8 15 22 29

Mathematics
2 answers:
k0ka [10]3 years ago
8 0
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6 

The above is the "rule" for the nth term.
Karolina [17]3 years ago
7 0
This is an aritmetic sequence where the terms increase by 7 
So the common difference d = 7 . The first term is 1 

nth term  = a1 + (n-1)d
                 =  1 + (n-1)7
                 = 7n - 6
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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
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Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

8 0
3 years ago
∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =
posledela

Answer:

B. 103°

Step-by-step explanation:

Supplementary angles add up to 180°, so we can find the measure of angle 2 by subtracting 77 from 180

180 - 77

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So, m∠2 is 103°

7 0
2 years ago
Please help me answer this question
Alekssandra [29.7K]
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4 0
3 years ago
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STatiana [176]

Answer: \Large\boxed{4x(x+12)(x-6)}

Step-by-step explanation:

<u>Given expression</u>

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4x (x² + 6x - 72)

<u>Cross multiply to factorize the remaining polynomial expression</u>

<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>

x             12

x             -6

<u>Combine the result</u>

\Large\boxed{4x(x+12)(x-6)}

Hope this helps!! :)

Please let me know if you have any questions

3 0
1 year ago
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Answer:

True.

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4 0
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