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Vsevolod [243]
4 years ago
11

What is the reciprocal of 11/12

Mathematics
2 answers:
tigry1 [53]4 years ago
8 0
Reciprocal means to flip a fraction, so all we have to do is flip 11/12. 11/12=\boxed{ \frac{12}{11}}. Hoped I helped. :)
schepotkina [342]4 years ago
4 0
To find the reciprocal you switch the numerator and denominator, so the reciprocal is 12/11.

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of
ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that A(24) = (1-0.26)A(0) = 0.74A(0); We use this to find r.

A(t) = A(0)(1-r)^t

0.74A(0) = A(0)(1-r)^{24}

(1-r)^{24} = 0.74

\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}

1 - r = (0.74)^{\frac{1}{24}}

1 - r = 0.9875

r = 1 - 0.9875 = 0.0125

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that A(0) = 810

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 810(1 - 0.26)^t

A(t) = 810(0.74)^t

The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

5 0
3 years ago
-3(7w-3)+8w=-5(w+1) what is the value of w
bogdanovich [222]

Answer:

2

Step-by-step explanation:

Step 1:

- 21w + 9 + 8w = - 5w - 5

Step 2:

- 13w + 9 = - 5w - 5

Step 3:

- 7w + 9 = - 5

Step 4:

- 7w = - 14

Step 5:

14 = 7w

Answer:

w = 2

Hope This Helps :)

6 0
3 years ago
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actu
Free_Kalibri [48]
I got 480 square feet. I assume that the apartment was a rectangle so the sides were 3in by 5in. Then I converted inches to feet and then found the area again
3 0
3 years ago
1.) Natalie is a lab technician and earns $10.65 per hour. What are her wages for 40 Hours?
Contact [7]

Answer:

Add

Step-by-step explanation:

10.65*40=426

426+50=476

5 0
3 years ago
Find the equation of the line that passes through he points (2,6) and (-2,4)
stepan [7]
First Find slope by using \frac{y2-y1}{x2-x1}

\frac{4-6}{-2-2} = \frac{-2}{-4} =  \frac{1}{2}

Now use point Slope form to find the equation of the line (y-y₁)=m(x-x₁)
(y-6)=\frac{1}{2}(x-2) 
y-6=\frac{1}{2} x-1
y=\frac{1}{2} x+5 is your equation
7 0
3 years ago
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