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What inequality describes the weight range of a single nickel

Evgen [1.6K]

Answer:

4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.

Step-by-step explanation:

The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier. Well what value is .194 lighter and .194 heavier? 4.806 and 5.194 respectively. So that means a nickle can be anywhere in that range, which tells us the inequality.

5 0

3 years ago

For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?

Oduvanchick [21]

Answer:

x = - 5 , x = $\frac{2}{3}$

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = $\frac{2}{3}$

4 0

1 year ago

Mary is solving the equation 2n – 3 = 83. Her first three steps are shown:

Stells [14]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
2^n - 3 = 83
2^n = 86 
ln(2^n) = ln(86) 
n*ln(2) = ln(86) 
n= ln(86)/[ln(2)] (which is the same as "log base 2 of 86") 
n= 6.426264755

7 0

2 years ago

There are 50 tickets in a raffle bag, and 10 of the tickets belong to Gary. A ticket is chosen at random, and the ticket owner's

Helga [31]

The probability of it happening once is 1/5, since 10/50 simplifies to 1/5. Because the ticket goes back in the bag, the probability stays constant at 1/5.

For it to happen twice, you multiply the probability of it happening once, twice.

1/5 • 1/5 = 1/25 probability of it being Gary's name twice in a row.

8 0

3 years ago

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$