1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
coldgirl [10]
3 years ago
15

Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.​

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:6

Step-by-step explanation: add up all the fractions. The answer will be 24/4. Divide 24/4 equals 6.

You might be interested in
A puppeteer is making a triangular hat for a puppet. If two of the three angles of
Burka [1]

Answer:

The triangle is an isosceles triangle and the measure of the third angle is 120°

Step-by-step explanation:

the other nd 2 angles in the triangle both measures 30 degrees, the triangle angle sum theorem states that all the angles in a triangle add up to 180 degrees. Add the first two angles together and subtract it from 180. That's

180 - 60 and it equals 120

5 0
2 years ago
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
The sphere at the right fits snugly inside a cube with 8​-in. edges. What is the approximate volume of the space between the sph
boyakko [2]

Answer:the answer is

Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

:

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

5 0
3 years ago
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
lukranit [14]

Answer:

6,5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5
anygoal [31]

Answer:

No, because substituting the given ordered pair doesn't yields two true expressions

Step-by-step explanation:

5x + y = 8

5 + 3 = 8 so thats correct

x + 2y = 5

1 + 6 =7, not 5

so only 1 is correct

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify:<br> 8+(-13)-18=
    10·2 answers
  • A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
    11·1 answer
  • Simplify 5x2(5x2− 3x − 1).
    11·2 answers
  • What is the value of x in the equation -6x = 5x+ 22?<br> -22<br> 0 -2<br> 02<br> O 22
    12·1 answer
  • Carol and Linda are both selling cookies.
    8·1 answer
  • hi guys i have a math test 1st period tomorrow please pray for me and if you aint religious please wish me luck lollll
    12·2 answers
  • Which measurement is most accurate to describe the distance from Los Angeles to New York City?
    11·2 answers
  • 100 POINTS
    11·2 answers
  • In a football game, the Bobcats scored all touchdowns, which are worth 7 points each. The Crocodiles scored all field goals, whi
    7·2 answers
  • On average, Gavin drinks of a 6-ounce glass of water in 11 hours. How much water
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!