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
Arte-miy333 [17]
3 years ago
12

Is 2.85 a rational number

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Because a rational number can be written in the from a/b

and

285 / 100 = 2.85

rjkz [21]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

\frac{a}{b} , where a and b are integers

2.85 = 2 \frac{85}{100} = \frac{285}{100} ← a rational number

You might be interested in
Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i
Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of 195112 in^{3}

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

V'=348w-6w^{2} \\V'=(348-6w)(w)

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

0=(348-6w)(w)\\w_1=0\\w_2=348/6=58

The first value (w=0) will leave us with a 'height-only box', so the answer must be w=58 in

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = 195112 in^{2}

8 0
3 years ago
It would be amazing if u helped me with the question below, thx! <3
tekilochka [14]

namely, how many times does 4 x 10⁻³ go into 8 x 10⁶.


\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\a^{-n} \implies \cfrac{1}{a^n}\qquad \qquad\cfrac{1}{a^n}\implies a^{-n}\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}\\\\-------------------------------\\\\\cfrac{\stackrel{elephant}{8\times 10^6}}{\stackrel{ant}{4\times 10^{-3}}}\implies \cfrac{8}{4}\times \cfrac{10^6}{10^{-3}}\implies 2\times 10^6\cdot 10^3\\\\\\2\times 10^{6+3}\implies 2.0\times 10^9

7 0
3 years ago
If the inspection division of a county weights and measures department wants to estimate the mean amount of
Amanda [17]

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data  near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=z/2* ST/\sqrt{N}

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

n=(z/2ST/Me)^{2}

n=(1.96*0.05)^{2} /(0.01)^{2}

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

Learn more about standard deviation at brainly.com/question/475676

#SPJ4

The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

7 0
2 years ago
Find the constant proportionality (r) using the value for r, enter an equation in the form of. C=rg that represents the relation
CaHeK987 [17]

Answer:

3.333

C = 3.3333g

Step-by-step explanation:

Given the relation : C = rg

C = Total cost of gasoline

g = Number of gallons of gasoline used

r = constant of proportionality

Picking any point on the graph :

At cost, c = $30

Number of gallons of gasoline used, g = 9

Putting the values into our equation :

C = rg

$30 = r * 9

30 = 9r

Divide both sides by 9

30/9 = 9r / 9

3.333 = r

Hence, constant of proportionality, r = 3.333

8 0
3 years ago
Nan buys a greeting card for 2 dollars and 29 cents. She pays with three $1 bills.
Alexandra [31]

Answer:

71 cents

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distribut
    7·1 answer
  • A soft-drink machine at a steakhouse is regulated so that the amount of drink dispensed is normally distributed with a mean of 2
    7·1 answer
  • Evaluate M/N for M=10, N=-5, and P =-2
    13·1 answer
  • (giving brainiest)
    9·2 answers
  • I’d appreciate an answer ;)
    15·1 answer
  • Find out net profit after tax from the following information:
    11·1 answer
  • Please help I have to have this done soon ​
    7·2 answers
  • Name all the angles that have v as vertex
    12·1 answer
  • Janiya went to a restaurant with $30.00. Her appetizer and drink cost $6.75 and she spent $12.50 on her entree. How much money d
    7·1 answer
  • Rachel is 1.55 m tall. Her friend, Pita, is 132 cm tall. Who is taller, and by how much?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!