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3 years ago

A11 if a3=5/16 and r=2

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

We require to find a₁

Given

a₃ = $\frac{5}{16}$ , then

a₁r² = $\frac{5}{16}$ , that is

a₁ ×2² = $\frac{5}{16}$ ( divide both sides by 4 )

a₁ = $\frac{5}{64}$ , thus

$a_{11}$ = $\frac{5}{64}$ × $2^{10}$ = $\frac{5}{64}$ × 1024 = 5 × 16 = 80

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Can someone answer this question??

klio [65]

Answer: B

Step-by-step explanation:

8 0

3 years ago

Enter the appropriate value to answer the question or solve the problem.

ololo11 [35]

Answer:

10/9

Step-by-step explanation:

transpose

M=7/9 + 1/3

M= 10/9 or 1 and 1/9

3 0

3 years ago

How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

MAVERICK [17]

Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

8 0

3 years ago

PLEASE ANSWER ASAP!!!!!!!

maksim [4K]

A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.

<h3>What is the area of the circle?</h3>

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = πr²

In order to calculate the total area of the cheesecake, since it's a circle its area is given by:

cheesecake area = πr²

cheesecake area = π(10/2)² = π(5)²

cheesecake area = 25 π square inches

Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:

The number of slices = 25 π/(25 π/12)

The number of slices = 12

The cheesecake has 12 slices.

Learn more about circle;

brainly.com/question/12512221

#SPJ1

4 0

2 years ago

Given that (- 2, 7) is on the graph of f(x) , find the corresponding point for the function f(x + 4).

AveGali [126]

Answer:

$\boxed{\ the \ corresponding\ point\ is \ (-6,7)\ }$

Step-by-step explanation:

We know that f(-2)=7

x+4 = -2 <=> x = -6

so f(-6+4) = f(-2)=7

then the corresponding point is (-6,7)

3 0

3 years ago