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VMariaS [17]
2 years ago
14

Evaluate the summation

Mathematics
2 answers:
polet [3.4K]2 years ago
6 0

Answer:

114

Step-by-step explanation:

The first term (a1) = 1 + 3 = 4   (substituting 1 for i)

The last term (L) = 12 + 3 = 15

So the sum of the 12 terms = (n/2)(a1 + L)

= (12/2) (4 + 15)

= 6 * 19

= 114   (answer)


Bad White [126]2 years ago
4 0

Answer:

114 so D is the correct choice


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Please help! :) Need answer fast!
Vlada [557]

Answer:

x = 3

y = 2

Step-by-step explanation:

When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.

So we can say:

-2x + 6y = 6

and

-7x + 8y = -5

Let's multiply first equation by 7 and 2nd equation by -2, to get:

7 [-2x + 6y = 6] = -14x +42y = 42

and

-2 [-7x + 8y = -5] = 14x - 16y = 10

Now adding these 2 new equations and solving for y:

-14x +42y = 42

14x - 16y = 10

----------------------

26y = 52

y = 52/26

y = 2

Now we put y = 2 into 1st equation (or any other) and solve for x:

-2x + 6y = 6

-2x + 6(2) = 6

-2x + 12 = 6

6 = 2x

x = 6/2

x = 3

5 0
3 years ago
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50m =9.50,
Lemur [1.5K]
3.00 + 0.50m = 9.50

2. true 
5. true


4 0
3 years ago
Read 2 more answers
I am having trouble with this question. ​
a_sh-v [17]

Answer:

x=12√2

y=45°

Step-by-step explanation:

as we know diagonal of a square

=a√2

=12√2

and

y=45°

8 0
2 years ago
****Brainliest to best answer!!***<br> Thank u to everyone who helps!
Dmitrij [34]

Answer:

A

Step-by-step explanation:

When you read the question it says that her average speed from the library to the gym is 15 mph less than her speed from her home to the library. So x - 15 is what describes that situation.

If it is A it cannot be anything else.

B is incorrect. x - 15 is not a time. It is a rate. It can be used to develop the amount of time, but by itself it is still A.

C is incorrect. Her average speed from her house to the library is x

D is incorrect. The distance is given as the same as from her home to the library as  from the library to the gym. Both are 4

7 0
3 years ago
find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be
EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

<u>First, we will determine the interest earned using the simple interest formula:</u>

I= P*r*t

I= 2,500*0.04*2

I=$200

<u>Now, using the compound interest formula:</u>

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

6 0
2 years ago
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