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givi [52]
3 years ago
12

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the

Mathematics
1 answer:
lesantik [10]3 years ago
8 0
  • The U.S. Mint makes commercial circulation coins including commemorative collection's coins including investor bullion coins.
  • In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

\to \bold{|x-5.67|=0.02}\\\\

heaviest\bold{=5.69\ g\\\\}

lighest\bold{=5.65\ g\\\\}

Evaluating the each expression:  

\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}

Learn more:

brainly.com/question/20845315

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Write the expression as a single natural logarithm.3In3+3Inc
k0ka [10]

Answer:

ln(27c^3)

Step-by-step explanation:

Given: 3ln(3)+3ln(c)

If there is a coefficient in front of a log or ln, that means it becomes an exponent.

ln(3^3)+ln(c^3)

Simplify the exponent.

ln(27)+ln(c^3)

When there is addition between two logarithms or natural logarithms, it means they multiply together.

ln(27c^3)

3 0
4 years ago
Read 2 more answers
Is 1+4(3x-10)-12x equivalent to-9
Ymorist [56]

Answer:

no

Step-by-step explanation:

Given

1 + 4(3x - 10) - 12x ← distribute the parenthesis

= 1 + 12x - 40 - 12x ← collect like terms

= 1 - 40

= - 39 ≠ - 9

5 0
3 years ago
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
Find the slope of the line that passes through the pair of points. (-6,-1), (0,-9)
klio [65]

Answer: -4/3

Step-by-step explanation:

\frac{-9-(-1)}{0-(-6)} \\\frac{-8}{6} = -8/6\\-8/6=-4/3

5 0
3 years ago
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Use square root property to solve for k<br> (k+5)= -24
Karo-lina-s [1.5K]

Answer:

k= -29

Step-by-step explanation:

7 0
3 years ago
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