All categories

3 years ago

Urgent help needed fast

Mathematics

1 answer:

Katena32 [7]3 years ago

7 0

Answer:

Below

Step-by-step explanation:

You can use this formula to find the sum of an arithmetic series

Sn = n / 2 (a1 + an)

You need to find the number of terms in each series before using the formula

Tn = a + (n - 1) d

a) 53 = 5 + (n - 1) 3

n = 17

Sn = 17 / 2 (5 + 53)

= 493

b) 98 = 7 + (n - 1) 7

n = 14

Sn = 14 / 2 (7 + 98)

= 735

c) -102 = 8 + (n - 1) -5

n = 23

Sn = 23 / 2 (8 + (-102))

= - 1081

d) 41/3 = 2/3 + (n - 1) 1

n = 14

Sn = 14 / 2 (2/3 + 41/3)

= 301 / 3 or 100 1/3

Hope this helped! Best of luck <3

You might be interested in

What is the solution of log3x − 5 16 = 2?

devlian [24]

log3x − 5 16 = 2
+516 +516
log3x=518
x=(10^518)/3
the answer seems a bit crazy, you probably typed something wrong

5 0

3 years ago

What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?

anygoal [31]

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

7 0

3 years ago

Pls answer it help me i will mark u as the brainliest

dexar [7]

Answer: type it out and i could solve it for ya

Step-by-step explanation:all you need to do is write it out.

3 0

3 years ago

What is the solution to 6(2 - x)<-4x + 2?

cupoosta [38]

Answer:

Solving $6(2 - x)$ we get $\mathbf{x>5}$

Step-by-step explanation:

We need to find solution of $6(2 - x)$

Solving the inequality:

$6(2 - x)$

Multiply 6 with terms inside the bracket

$12-6x$

Subtracting 12 on both sides

$12-6x-12$

Adding 4x on both sides

$-6x+4x$

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

$\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}$

So, after solving $6(2 - x)$ we get $\mathbf{x>5}$

5 0

3 years ago

A circle has a radius of \sqrt{13}√ 13 square root of, 13, end square root units and is centered at (-9.3,4.1)(−9.3,4.1)le

timofeeve [1]

Answer: The equation of the circle is

$x^2+y^2+18.6x-8.2y+90.3=0.$

Step-by-step explanation: We are given to write the equation of the circle with radius √13 units and center at the point (-9.3, 4.1).

We know that

the standard equation of a circle with radius r units and center at the point (h, k) is given by

$(x-h)^2+(y-k)^2=r^2.$

In the given circle,

radius, r = √13 units and center, (h, k) = (-9.3, 4.1).

Therefore, the equation of the circle will be

$(x-(-9.3))^2+(y-4.1)^2=(\sqrt{13})^2\\\\\Rightarrow (x+9.3)^2+(y-4.1)^2=13\\\\\Rightarrow x^2+18.6y+86.49+y^2-8.2y+16.81=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+103.3=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+90.3=0.$

Thus, the equation of the circle is

$x^2+y^2+18.6x-8.2y+90.3=0.$

7 0

3 years ago