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3 years ago

What is the 25th term of the arithmetic sequence -3,4,11,18,25

Mathematics

2 answers:

notka56 [123]3 years ago

6 0

Answer:

165

Step-by-step explanation:

the 25th term is got from getting the first term -3 plus (24th term multiplied by the common difference which is 7)

SCORPION-xisa [38]3 years ago

5 0

Answer:

165.

Step-by-step explanation:

The nth term is an = a1 + (n - 1)d.

The common difference (d) is 7 and the first term (a1) is -3, so the 25th term

= a25 = -3 + (25-1)*7

= =3 + 24*7

= 165.

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Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *

zepelin [54]

You multiply vectors and scalar simply by multiplying each component by that scalar:

$-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle$

Finally, you sum two vectors by summing the correspondent coordinates:

$-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle$

4 0

3 years ago

Please show work. thank you!

ioda

Answer:

$\large\boxed{h=\dfrac{\sqrt{703}}{2}ft\approx13.26ft}$

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=\dfrac{9}{2}ft\\\\hypotenuse=14ft\\\\leg=h$

Substitute:

$\left(\dfrac{9}{2}\right)^2+h^2=14^2$

$\dfrac{81}{4}+h^2=196$ multiply both sides by 4

$81+4h^2=784$ subtract 81 from both sides

$4h^2=703$ divide both sides by 4

$h^2=\dfrac{703}{4}\to h=\sqrt{\dfrac{703}{4}}\\\\h=\dfrac{\sqrt{703}}{\sqrt4}\\\\h=\dfrac{\sqrt{703}}{2}\\\\h\approx13.26$

5 0

4 years ago

I would appreciate it if you help me pls asap !!

masha68 [24]

Answer:

BC= 20 units

Step-by-step explanation:

Since ∆ ABC is an equilateral triangle, all the sides are equal in length.

AC= BC

=>-y+23= 6y+2

=>-y-6y= 2-23

=>-7y= -21

=>y= 21/7

=>y= 3

BC = 6y+2 = 6(3)+2 = 18+2 = 20 units

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3 years ago

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The formula for the area of a triangle is A=12bh. Solve this equation for b.

aksik [14]

Step-by-step explanation:

Hey there!

Given;

[A = 1/2b*h]

Divide both sides by 'h'.

A/h = 1/2(b*h/h) [ on right side'h' gets cancelled].

Multiply '2' and 'A'.

A*2/h = b

b = 2A/h.

Hope it helps...

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3 years ago

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5 1/8 + 5/6 + 5/12 as a fraction? I could be able to, but i suck at most things with fractions.

Daniel [21]

The answer to your question is 6 3/8.

5 0

3 years ago