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
gladu [14]
3 years ago
14

Is

ormula"> rational or irrational?
Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

Rational

Step-by-step explanation:

2^{-3} simplifies to \frac{1}{8}.

Therefore, it is rational.

2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}

<em>Brainliest Appreciated. </em>

You might be interested in
Evaluate the following expression. round your answer to two decimal places. log8 2.718
eduard

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

7 0
3 years ago
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
3 years ago
Jamal has two investments, one in Company A, and another in Company B. Jamal purchased 300 shares in Company A at $1.45 per shar
anyanavicka [17]

Answer:

$20

Step-by-step explanation:

Company A:

Buy 300 shares at $1.45 per share.

Sell 300 shares at $1.65 per share.

Profit: ($1.65 - $1.45) * 300 = $60

Company B:

Buy 200 shares at $1.20 per share.

Sell 200 shares at $1.10 per share.

Loss: ($1.20 - $1.10) * 200 = $20

Net profit:

$40 - $20 = $20

6 0
3 years ago
12. If 5t + 2 = 6, then t =
tankabanditka [31]
It would be t=0.8, mainly bc you subtract two from six , that reduces it to four 
then you divide four by five and it should give you your answer
and to chack your work put .8 where t was and solve 
6 0
4 years ago
Read 2 more answers
Zeno is walking in a straight line. With each step, he covers half the remaining distance between him and the end of his path, w
shtirl [24]
8 foot path

1st step = 8/2 = 4ft
2nd step = 4/2 = 2ft
3rd step = 2/2 = 1ft
4th step = 1/2 = 1/2ft

So he covered 7 1/2 ft (or 7.5ft)
5 0
3 years ago
Other questions:
  • Matt has 80,000 in a savings account. The interest rate is 12% pre year and is not compounded. How much will he have in 4 months
    12·1 answer
  • What is the surface area of the right cone below?
    14·1 answer
  • Solve for x<br> -x + 5 + 6x = 1 + 5x + 3
    7·1 answer
  • What’s equal to 4+(4x(5-2) divided by 2
    9·1 answer
  • Point K is graphed on a number line at 3. Point L is 11 units away from point K on the number line.
    11·1 answer
  • 2 5/6 times 8 as a mixed number.
    14·1 answer
  • ? cm<br> 3 cm<br> 7 cm<br> 4 cm<br> 7 cm<br> Missing length
    11·1 answer
  • Evaluate the expression P(6,1)
    7·1 answer
  • Express 8% as a decimal fraction​
    12·1 answer
  • Fill in the blank with the most appropriate term or phrase.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!