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2 years ago

The nth term of a sequence is 3n squared. What is the 15th term

Mathematics

1 answer:

BabaBlast [244]2 years ago

8 0

Answer:

2025

Step-by-step explanation:

3n² is our nth term

n=15

thus....

(3×15)²

= 45²=2025

Hopefully this helped- have a great day)

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What was the purpose of the Pendleton Act?

Amiraneli [1.4K]

The act was signed into law by President Chester A. Arthur.

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3 years ago

If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)

gregori [183]

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5

We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or

g(4)=f(2)

7 0

3 years ago

What is the value of q?

andre [41]

Answer: here

Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:

q s

--- = ---- This results in 10q=rs.

r 10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.

4 s

Also: ---- = ----- which leads to s^2 = 40

s 10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

hope it helps

6 0

3 years ago

Help please! This is hard

Nutka1998 [239]

Answer: 200°C + 273.15 = 473.15K

300K − 273.15 = 26.85°C

I hope this helps bye

7 0

3 years ago

Answers plz i cant do math

Licemer1 [7]

The slope of all parallel lines are equal.

The slope of a line in the form $y=mx+c$ is m.

1. The given equation is: $y=4x+2$ . The slope of this line is $m=4$ . The slope of the line parallel to this line is also 4.

2. The given equation is $y=\frac{2}{7}x+1$ . The slope of this line is $m=\frac{2}{7}$ .

The slope of the line parallel to it is also $\frac{2}{7}$ .

3. The next equation is $y+9x=13$ . The slope intercept form is $y=-9x+13$ .

The slope of this is $m=-13$ . The line parallel to it also has slope which is -13.

4. The given equation is $y=-\frac{1}{2}x+4$ . The slope of this line and the line parallel to it is $m=-\frac{1}{2}$

5. The equation is 6x+2y=4. We simplify to get: 3x+y=2.

The slope-intercept form is $y=-3x+2$ . The line parallel to this line has slope $m=-3$

6. Assuming the line is $y=-3x+9$ , then the slope is $m=-3$

7. Assuming the line is $-5x+5y=4$ , then the slope-intercept form is $y=x+\frac{4}{5}$ and the slope of the line parallel to this line is m=1

8. The equation is 9x-5y=4. The slope intercept form is $y=\frac{5}{9}x-\frac{4}{9}$ . The slope of the line parallel to this line is $m=\frac{5}{9}$

9. The given equation is $-x+3y=6$ . The slope intercept form is $y=\frac{1}{3}x+2$ . The line parallel to this line also has slope $m=\frac{1}{3}$ .

10. Assuming the given line is 6x-7y=10, then $y=\frac{6}{7}x-\frac{10}{7}$ and the line parallel to it has slope $m=\frac{6}{7}$

11. Assuming the line is $y-x=-3$ , then $y=x-3$ and the slope of the line parallel to it is $m=1$

12. The given line is 3x-5y=6. This implies that $y=\frac{3}{5}x-\frac{6}{5}$

7 0

3 years ago