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3 years ago

An arithmetic sequence is defined by:a_1=-8a1=−8a_n=a_{n-1}+4an=an−1+4What is the 7th term of the sequence?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

37 is ____ % of 148; 148 is ____ % of 37 fill in the blanks

soldier1979 [14.2K]

37 is 25% of 148; 148 is 400% of 37

Step-by-step explanation:

Let us solve the questions one by one

"37 is ____ % of 148"

Let x be the percentage

Then

$37 = x\%\ of\ 148\\37 = 148x\\x = \frac{37}{148}\\x = 0.25$

to convert in percentage, multiplying by 100

= 25%

"148 is ____ % of 37"

Let y be the percentage

then

$148 = y\%\ of\ 37\\148 = 37y\\y = \frac{148}{37}\\y = 4$

To convert into percentage, multiplying by 100

= 400%

Hence,

37 is 25% of 148; 148 is 400% of 37

Keywords: Percentage, percent

Learn more about percentage at:

#LearnwithBrainly

4 0

3 years ago

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

Basile [38]

Answer:

$V(t)=0.0112\pi t^{2}$

Step-by-step explanation:

we have

$V(r)=0.07\pi r^{2}$ -----> equation A

$r(t)=0.4t$ -----> equation B

To find out (V of r)(t) substitute equation B in equation A

$V(r(t))=V(t)$

$V(t)=0.07\pi (0.4t)^{2}$

$V(t)=0.07\pi (0.16)t^{2}$

$V(t)=0.0112\pi t^{2}$

3 0

3 years ago

The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

What is the least common multiple of 2,6 and 15?

Alex

Answer:

LCM of 6 and 15 by Listing Multiples

Step 2: The common multiples from the multiples of 6 and 15 are 30, 60, . . . Step 3: The smallest common multiple of 6 and 15 is 30.

4 0

3 years ago

Read 2 more answers

Help with this question plzz

svlad2 [7]

Answer:

I think it is 4 white and 3 blue

Step-by-step explanation:

Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!

8 0

3 years ago

An arithmetic sequence is defined by:a_1=-8a1​=−8a_n=a_{n-1}+4an​=an−1​+4What is the 7th term of the sequence?

An arithmetic sequence is defined by:a_1=-8a1=−8a_n=a_{n-1}+4an=an−1+4What is the 7th term of the sequence?