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3 years ago

What is the first term of the geometric sequence presented in the table below?

1 answer:

8 0

Fron the table given:

A3 = 112,
A8 = - 3,584

An = A1 *r ^ (n-1)

=> A3 = A1 (r^2) = 112

A8 = A1(r^7) = - 3,584

=> - 3584 / 112 = (r^7) / (r^2)

=> (r^5) = - 32

=> r = - 2

=> A1 (- 2)^2 = 112

=> A1 = 112 / 4 = 28

Answer: a1 = 28

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If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle?

Rufina [12.5K]

Answer:

(4,5)

Step-by-step explanation:

The equation of a circle that has centre coordinates (a,b) and radius r is

(x-a)^2+(y-b)^2=r^2

so (4,5) satisfy the equation

3^2+4^2=9+16=25

6 0

3 years ago

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a is 1200

We have to find sigma notation showing the infinite growth of the wildflowers.

$wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}$

Formula for infinite sum of GP is $S_{\infty}=\frac{a}{1-r}$

Here, $a=1200,r=\frac{1}{4}$

On substituting the values in the formula of sum we get:

$S_{\infty}=\frac{1200}{1-\frac{1}{4}}$

On simplification we get:

$S_{\infty}=\frac{1200}{\frac{3}{4}}=1600$

Therefore, total sum of wildflowers 1600.

5 0

3 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below? 4(5 + 8r) + 19

mr_godi [17]

Answer:

32r + 39

Step-by-step explanation:

Step 1: Distribute

4(5 + 8r) + 19

20 + 32r + 19

Step 2: Combine like terms

32r + 39

Answer: 32r + 39

7 0

3 years ago

Read 2 more answers

109)

Lubov Fominskaja [6]

I strongly believe the answer is c
Hope this helps in some way:)

7 0

3 years ago

Each of the letters of the word ALABAMA are written on a piece of paper and then

Kruka [31]

Answer:

3/7

Step-by-step explanation:

There are 7 letters in ALABAMA. And there are 4 A's in ALABAMA. So if you're trying to not get an A then you would subtract 4 from 7. Which you would get 3/7 of the letters in ALABAMA are not A.

7 0

3 years ago