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3 years ago

I need help on this question!

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

The answer I am not sure but will try
Ans: 110

bija089 [108]3 years ago

6 0

Answer:

110 cookies in 180 minutes

Step-by-step explanation:

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Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

3 years ago

Suppose it is known that 10% of all people in Texas have a specific blood type. Suppose we take a random sample of 500 Texas res

Mila [183]

Answer:

a) 50

b) 6.71

c) 0.0681

Step-by-step explanation:

check the attached file below

5 0

3 years ago

Vincent needs 20 inches of wood to makeOne shelf. How many feet of wood does Vincent need to make 6 shelves

butalik [34]

Answer:

10 feet

Step-by-step explanation:

Multiply 20 by 6 which will give the answer 120 (in inches).
Then convert 120(inches) to feet by dividing with 12.
The answer will be 10(feet) needed for six shelves.

20x6= 120

120/12=10

=10 ft

6 0

3 years ago

What is the surface area of the cone? Express your answer in terms of π.b

weeeeeb [17]

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

$SA=\pi r^{2}+\pi r l$

where r is the radius and l is the slant height.

$SA=\pi \times 5^{2}+\pi \times 5 \times 21$

$SA=\pi \times 25+\pi \times 105$

$SA=25 \pi+ 105 \pi$

$SA=130 \pi$

The surface area of the cone is 130π square feet.

8 0

3 years ago

An angle is equal to five times of its complement then what is its measures

satela [25.4K]

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

7 0

3 years ago