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tino4ka555 [31]
3 years ago
11

The equation y=2x+10 describes the monthly cost to rent a movie at the local

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0
Suhdhchdjnbxjdbxhbcjdbbxx
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Find the sine and cosine of a 60° angle<br><br> find the sine and cosine of a 30° angle
Ymorist [56]

Answer:

Using the 30-60-90 triangle to find sine and cosine

sin(60 degrees) = 2√3 4.

sin(60 degrees) = √3 2.

sin(30 degrees) = 2 4.

sin(30 degrees) = 1 2.

cos(60 degrees) = 2 4.

cos(60 degrees) = 1 2.

cos(30 degrees) = 2√3 4.

cos(30 degrees) = √3 2.

7 0
3 years ago
Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.
Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

k=\frac{0.693}{t_{1/2}}

k=\frac{0.693}{1599\text{ years}}

k=4.33\times 10^{-4}\text{ years}^{-1}

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 1000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=5.19g

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 10000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=0.105g

Thus, the amount after 10000 years will be, 0.105 grams.

4 0
4 years ago
Integrated math ll I need help ASAP PLEASE
Rainbow [258]

<em>Greetings from Brasil...</em>

We have 2 conditions:

1 - angles opposed by the vertex - the angles are equal

2 - supplementary angles - the sum of the two angles results in 180

2:

(4X + 15) and (5X + 30) are supplementary angles, so:

(4X + 15) + (5X + 30) = 180

9X = 180 - 15 - 30

9X = 135

<h2>X = 15</h2>

1:

(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal

3Y + 15 = 5X + 30

3Y = 5X + 30 - 15

3Y = 5X + 15   <em>above we have already calculated the value of X</em>

3Y = 5.(15) + 15

3Y = 75 + 15

3Y = 90

Y = 90/3

<h3>Y = 30</h3>

3 0
4 years ago
A local environmental group was interested in estimating the total amount (in pounds) of recycled material that is collected wee
Vlad [161]

Answer:huh

Step-by-step explanation:

4 0
3 years ago
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?​
yan [13]

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

x+\dfrac{11}{100}x=x+0.11x=1.11x

The average wage for an electrician in CA is 11% above the national average. So,

1.11x=25.47

Divide both sides by 1.11.

x=\dfrac{25.47}{1.11}

x=22.945945...

x=22.95

Therefore, the national average is $22.95/hour.

3 0
3 years ago
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