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brilliants [131]
3 years ago
9

ASAP! 30 POINTS TO WHOEVER HELPS! <3

Mathematics
1 answer:
hjlf3 years ago
5 0

did you get the answers???

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11<br> The 7th term of Ap is 27 and the 12th term is 47.what is the sequence
inessss [21]

Answer:

3, 7, 11, 15, 19, 23, 27,.......

Step-by-step explanation:

Let the first term and the common difference of the AP be a and d respectively.

a_7 = 27 .....(given)

Therefore,

a + (7- 1) d = 27

a + 6d = 27

a = 27 - 6d...... (1)

a _{12} = 47.....(given)

Therefore,

a + (12 - 1) d = 47

a + 11d = 47......(2)

From equations (1) & (2)

27 - 6d + 11d = 47

24 + 5d = 47

5d = 47 - 27

5d = 20

d = 20/5

d = 4

Plug d = 4 in equation (1) we find:

a = 27 - 6*4

a = 27 - 24

a = 3

Therefore,

a_1 = a = 3

a_2 = a_1 + d= 3 + 4 = 7

a_3 = a_2 + d= 7 + 4 = 11

a_4 = a_3 + d= 11 + 4 = 15

a_5 = a_4 + d= 15 + 4 = 19

a_6 = a_5 + d= 19 + 4 = 23

a_7 = a_6 + d= 23 + 4 = 27

Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......

8 0
3 years ago
The price of an item yesterday was $120. Today, the price fell to $78
marusya05 [52]

Answer:

The answer is decreasing the money

8 0
2 years ago
Read 2 more answers
Write a function for the situation described and find the value after 7 yrs. A $16,800 car depreciates 11% each year
seraphim [82]

Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

$7,671.18

Click to let others know, how helpful is it

Read more on Brainly.com - brainly.com/question/9053845#readmore

Step-by-step explanation:

3 0
3 years ago
Liam is a tyre fitter it takes him 56 minutes to fit 4 tyres to a van if he works for 42 minutes how many tyres can he fit.
dlinn [17]
I think the answer is 2 tyres but i am not sure but don’t blame me if it’s wrong
5 0
3 years ago
What is the radius of a circle whose equation is x2 y2 8x – 6y 21 = 0?
andrew11 [14]

we know that

the standard form of the equation of the circle is

(x-h)^{2} +(y-k)^{2}=r^{2}

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

x^{2} +y^{2} +8x-6y+21=0

<u>Convert to standard form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}+8x) +(y^{2}-6y)=-21

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

(x^{2}+8x+16) +(y^{2}-6y+9)=-21+16+9

(x^{2}+8x+16) +(y^{2}-6y+9)=4

Rewrite as perfect squares

(x+4)^{2} +(y-3)^{2}=4

(x+4)^{2} +(y-3)^{2}=2^{2}

the center of the circle is (-4,3)

the radius of the circle is 2\ units

therefore

<u>the answer is</u>

the radius of the circle is 2\ units


8 0
3 years ago
Read 2 more answers
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