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Vinil7 [7]
3 years ago
9

What is the sum of an infinite geometric series if a1 = 5 and r = 1⁄3?

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The sum to infinity of a geometric series is

\frac{a_{1} }{1-r} ( - 1 < r < 1 ) ← substitute values

S( ∞ ) = \frac{5}{1-\frac{1}{3} } = \frac{5}{\frac{2}{3} } = \frac{15}{2}

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Umnica [9.8K]
This is not a math problem, i think. you should post it on biology.

the answer is e.

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7 0
3 years ago
Q/R=8/d Solve for d <br> please and thank you!
tensa zangetsu [6.8K]

The value of d in equation Q/R=8/d is 8R/Q.

Given an equation Q/R=8/d.

We are required to find the value of d in the given equation.

Equation is basically the relationship between two or more variables that are expressed in equal to form. The values that we enter is known as domain and the values that we get is known as range. It can be linear equation, quadratic equation, cubic equation.

The equation is :Q/R=8/d

We have to take d in right side of equal to sign and Q,R to the left side of right side of equal to sign.

d=8R/Q

Hence the value of d in equation Q/R=8/d is 8R/Q.

Learn more about equation at brainly.com/question/2972832

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3 0
1 year ago
Write the standard form of the equation of the line that passes through (-2, -3) and (2,-5).
Naily [24]

Answer:

y= -1/2x-4

Step-by-step explanation:

By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!

5 0
3 years ago
Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. If you decide to reject the n
Tems11 [23]

Answer:

B

Step-by-step explanation:

When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.

A. This statement is false. A true statement​ is, "If you decide to accept the null​ hypothesis, then you can support the alternative​ hypothesis."

B. This statement is true.

C. This statement is false. A true statement​ is, "If you decide to reject the null​ hypothesis, then you​ can't support the alternative​ hypothesis."

D. This statement is false. A true statement​ is, "If you decide to reject the null​ hypothesis, then you can assume the alternative hypothesis is​ false."

5 0
2 years ago
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How to multiply 8.18 times 2.8
Salsk061 [2.6K]

the answer to 8.18 x 2.8 equals 22.904

8 0
3 years ago
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