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Lunna [17]
3 years ago
14

Write an explicit formula for an; the nth term of the sequence 6, 12, 18, ....

Mathematics
2 answers:
algol133 years ago
5 0

Answer:

F(n) = 6n

Step-by-step explanation:

An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n

Sergeu [11.5K]3 years ago
5 0
The answer your looking for is 6n, it starts with six and goes up by six each time.
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What is 7505 divided by 11?
Irina18 [472]

Answer:

7505÷11 = 682.27272727

Step-by-step explanation:

or you can just put a line over the 27

6 0
3 years ago
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A cylindrical oil storage tank has a height of 10 meters and a diameter of 24 meters. If the tank is full, how much oil does it
kotegsom [21]
V = (π/4)d^2*h
Using the given numbers,
  V = (3.14/4)*(24 m)^2*(10 m)
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A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform. Find a 95% co
dusya [7]

Answer: (0.7335,\ 0.7865)

Step-by-step explanation:

Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.

sample size : n= 1000

sample proportion: \hat{p}=\dfrac{760}{1000}=0.76

Critical value for 95% confidence interval = z_{\alpha/2}=1.96

Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)

Hence, the  95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: (0.7335,\ 0.7865)

6 0
3 years ago
A jewelry box has a length that is 2 inches longer than the width and a height that is 1 inch smaller than the width. the volume
maxonik [38]
Given that a <span>jewelry box has a length that is 2 inches longer than the width and a height that is 1 inch smaller than the width.

Let the width of the box be w, then the length of the box is given by l = w + 2 and the height of the box is given by h = w - 1.

The volume of a box is given by

V=l\times w\times h \\  \\ =w(w+2)(w-1) \\  \\ =w(w^2+w-2)=w^3+w^2-2w

Given that the volume of the box is 140 cubic inches. Thus

w^3+w^2-2w=140

Thus, the width of the jewelry box is obtained as follows

w^3+w^2-2w=140 \\  \\ \Rightarrow w^3+w^2-2w-140=0 \\  \\ \Rightarrow(w-5)(w^2+6w+28)=0 \\  \\ \Rightarrow w=5

Therefore, the width of the jewelry box is 5 inches.

*Note that w^2+6w+28=0 gives complex roots, so we did not use it.
</span>
7 0
3 years ago
You are baking and have 3 measuring cups: one is a 1 half cup measure, one is a 1 over 6 cup measure and one is a 1 third measur
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Answer:

100 x2

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130+0 =boto

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