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3 years ago

The 80th term of an arithmetic sequence is twice the 30th term. If the first term of the sequence is 7, what is the 40th term?

1 answer:

8 0

It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!

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If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle?

AURORKA [14]

Answer:

Step-by-step explanation:

The equation of this circle is:

(x - 1)² + (y - 1)² = 5²

Just supposing we choose x = 2. What's the corresponding y-value?

Actually, there are two unique y-values for each x value.

Let x = 2 in (x - 1)² + (y - 1)² = 5². Then:

(2 - 1)² + (y - 1)² = 5², or

1² + (y - 1)² = 25

Solving for (y - 1)², we get (y - 1)² = 25 - 4, or 24.

Taking the square root of both sides:

y - 1 = ±√24, so that y = 1 ±√24,

This simplifies to y = 1 ± 2√6.

Therefore, if x = 2, y has two values:

(2, 1+2√6) and

(2, 1-2√6

3 0

4 years ago

David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remain

dusya [7]

Answer:

$1\frac{5}{8}$ cup of blueberries

Step-by-step explanation:

Since David starts out with 3 1/2 cups of blueberries and uses 1/4 cup to make a smoothie, we will need to subtract 1/4 from his starting amount of 3 1/2

$3\frac{1}{2}-\frac{1}{4} =3\frac{1}{4}$ David now has 3 1/4 cup of blueberries

David then uses half of this new amount of blueberries to make his pancakes. We will need to divide by 2 in order to figure out how much half is

First we can turn 3 1/4 into an improper fraction to make it easier to work with → 3 1/4 = 13/4
Now dividing 13/4 by 2 gives us $\frac{\frac{13}{4} }{2} =(\frac{13}{4})(\frac{1}{2}) = \frac{13}{8}$
David used 13/8 cups of blueberries to make his pancakes
Turning this back into a mixed number leaves him with 1 5/8 cup of blueberries

3 0

3 years ago

I need help. Whats the answer?

yulyashka [42]

By the pythagorean theorem a^2 + b^2 = c^2 so if we do 8^2 + 6^2 it is 100

3 0

3 years ago

At a concession stand, seven hot dog(s) and four hamburger(s) cost $15.00; four hot dog(s) and seven hamburger(s) cost $18.0

Paraphin [41]

Answer:

hotdog $1, and hamburger $2

Step-by-step explanation:

D-is hot dogs, H-hamburgers

7D +4H = 15

4D +7H = 18

we got 2 equations with 2 unknown so we can solve

7D +4H = 15 multiply by 7

4D +7H = 18 multiply by -4

49D +28H = 105

-16D -28H = -72 add the two equations

33D= 33 so D=$1

go back to the first equation:

7*1 +4H =15 gives us 4H = 15-7; 4H = 8 so H= $2

8 0

3 years ago

An bunch of 4 bananas contains a total of 5.92 grams of protein. Suppose each banana has the same amount of protein. How much pr

MrMuchimi

1.48 protein per 1 banana

6 0

3 years ago