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Kobotan [32]
3 years ago
13

Write the first five terms of the sequence in which the nth term is an = (n+3)!/n+3

Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

the first five terms are

a1 = 6

a2 = 24

a3 = 60

a4 = 120

a5 = 210

Step-by-step explanation:

the experission used to find the five terms is

an = n3+ 3n2+ 2n

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A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
3 years ago
Suppose y = sqrt 2x+1, where x and y are functions of t.
frutty [35]

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

5 0
3 years ago
(no links please and than you! :))
pashok25 [27]

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

6 0
3 years ago
Read 2 more answers
Graph the function -2 - 1
djverab [1.8K]
The answer is -3 because - and - are together plus
8 0
3 years ago
A firm buys components from two suppliers: 60 percent from supplier A and the rest from supplier B. It so happens that 9 percent
Llana [10]

Answer:

0.114,0.5263

Step-by-step explanation:

Given that a firm buys  components from two suppliers:

A : 60%  Defective 9%

B:40%  Defective 15%

a) the probability that the next component the firm buys is defective

=prob purchased from A and defective + prob purchased from B and defective

= 0.60(0.09)+0.40(0.15)\\= 0.054+0.06\\=0.114

b)  the probability that the component that the firm buys is from supplier B if we know that it is defective

=Prob from B and defective/Prob defective

= \frac{0.40(0.15)}{0.114} \\=0.5263

8 0
3 years ago
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