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Gre4nikov [31]
3 years ago
13

What is the sum of the arithmetic series below?

Mathematics
1 answer:
never [62]3 years ago
5 0
Our question transforms to finding the following sum : 3 + 7 + 11 + 15.... upto 15 terms 

<span>Use formula for sum of an AP series </span>

<span>S = (n * (2a + (n - 1)d)) / 2 </span>

<span>n -> no of terms in AP series , so n = 15 </span>
<span>a -> first term in series, so a = 3 </span>
<span>d -> common difference, so d = 4 </span>

<span>Put all values for a, n, d and you will get the sum.</span>
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Line N passes through the points (-1,4) and (-1,-4)Which is true of line N?
VLD [36.1K]

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

3 0
3 years ago
The product of c and 2
Arlecino [84]

Answer:

c2?

Step-by-step explanation:

3 0
3 years ago
What law can be used to determine that the conclusion is valid based on the given statements
ryzh [129]

Answer:

A. Law of detachment

Step-by-step explanation:

The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.

This condition is made the conclusion.

The Acute and Obtuse are detached of each other.

The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.

Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.

The conclusion of the given statement  is valid based on the law of detachment as the condition has been made a conclusion.

8 0
3 years ago
Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he hav
Schach [20]

Answer:

Lee has 19 nickels and 8 dimes

Step-by-step explanation:

hello, I think I can help you with this

Step 1

Let

value of a nickel=$0.05

value of a dime=$0.10

number of nickels=N

number of nickels=D

According to the question data Lee has $1.75 in dimes and nickels.

0.05N+0.1D=1.75,equation(1)

also, the number of nickels is 11 more than the number of dimes.mathematical speaking

N=11+D,equation(2)

Step 2

replace N from equation (2) into equation (1)

0.05N+0.1D=1.75

0.05(11+D)+0.1D=1.75

Now, solve for D

0.55+0.05D+0.1D=1.75

0.15D=1.75-0.55

D=1.2/0.15

D=8

Step 3

replace the value of D into equation(2) to obtain N

N=11+8

N=11+8

N=19

Hence, Lee has 19 nickels and 8 dimes

Have a great day.

5 0
3 years ago
What is the volume of a hemisphere with a radius of 3 cm, rounded to the nearest tenth of a cubic centimeter?
Kaylis [27]

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

8 0
3 years ago
Read 2 more answers
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