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3 years ago

What is the value of the geometric sequence for which a1=10 and r=0.5?

1 answer:

3 0

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
$S_{∞}= 20$

Therefore, the answer is 20.

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The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

n200080 [17]

Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25

General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0

Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0

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4 years ago

When trying to write an equation in standard form, you first have to find the slope if it is not given. If the slope ends up bei

Elan Coil [88]

It is neither one. Division by zero is undefined in math, so if the slope ends up being 5/0, the line has undefined slope.

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3 years ago

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.

Veseljchak [2.6K]

Answer:

The least value of n is, 9.

Step-by-step explanation:

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

But, Sam still has more sheep than Mary i.e,

Solve an inequality:

Add 8 both sides we get;

Simplify:

Now, subtract n from both the side, we get;

Simplify:

Since n is the number of sheep in integer,

then the least value of n is, 9.

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3 years ago

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Answer:

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Step-by-step explanation:

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The best and most correct answer among the choices provided by your question is the third choice.

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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago