Find the tenth term.

Mathematics

1 answer:

ella [17]3 years ago

3 0

Answer:

Step-by-step explanation:

a(10) = the tenth term of the sequence a, is

a(10) = 4 + (-1)^10 = 4 + 1 = 5

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A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th

Lerok [7]

Answer:

D. 10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

V = πr²h

V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

(208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

7 0

3 years ago

Find d<br><br> a * a * a = 216<br> a * b * c = 96<br> b * c = 52<br> a + b + c = d

Slav-nsk [51]

$a\cdot a\cdot a=216\\\\a^3=216\to a=\sqrt[3]{216}\\\\\boxed{a=6}\\\\\text{Substitute}\ b\cdot c=52\ \text{to the second expression}\ a\cdot b\cdot c=96:\\\\abc96\ \wedge\ bc=52\to a(52)=96\qquad\text{divide both sides by 52}\\\\a=\dfrac{96}{52}\to a=\dfrac{24}{13}\neq6$

a = 6 and a = 24/13 FALSE!!!

<h3>Answer: NO SOLUTION.</h3>

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3 years ago

A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows

IRISSAK [1]

Answer: B. 31

Step-by-step explanation:

This linear regression was constructed by relating the hours practiced per week and the number of competitions won.

Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.

This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.