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3 years ago

Solve for x. What is the value of Pls help me

Mathematics

1 answer:

vfiekz [6]3 years ago

8 0

Answer

x = 21

HOS = 68

Explanation

The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.

So that means 3x+5 plus 5x+7 must equal 180 degrees.

3x+5+5x+7 = 180

Combine like terms.

8x+12 = 180

Subtract 12 from both sides.

8x = 168

x = 21

But BE CAREFUL.

The problem is asking for the angle HOS.

To do this, just substitute what you got for x into the expression.

3(21)+5 = 68

The value of HOS is 68 degrees.

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A sample of bacteria is decaying according to a half-life model. If the sample begins with 200 bacteria and after 5 minutes ther

77julia77 [94]

<h2>Hello!</h2>

The answer is:

There will remain a total of 134 bacteria after 7 minutes.

Exponential decay calculations are commonly used to find the decrease of amounts of populations, bacterias, and other situations when using proportional relationships. In order to find the problem, we must remember the equation used to calculate the exponential decay.

$Decay=S(1-r)^{t}$

Where,

S, is the starting value/amount

r, is the rate (% to real number)

t, is the time elapsed.

We are given that the numbers of bacteria decrease by 50 after 5 minutes, starting with 200, and after 5 minutes the number of bacteria is 150

Calculating the rate of decrease, we have:

$Rate=\frac{Decrease}{Starting}=\frac{200-150}{200}=\frac{50}{200}=0.25$

Therefore, the rate of decrease is 0.25 or 25% (after multiplying the number by 100)

Then, substituting the given information and the rate of decrease into the decay equation, we have:

$Decay=200(1-0.25)^{\frac{t}{5}}$

Now, to calculate how many bacteria will remain after 7 minutes, we need to substitute it into the decay equation:

$Bacteria(After7Minutes)=200(1-0.25)^{\frac{7}{5}}=133.69$

So, rounding to the nearest whole number, there will remain a total of 134 bacteria after 7 minutes.

Have a nice day!

3 0

3 years ago

Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10o

Katyanochek1 [597]

<h2>Answer:</h2>

$\boxed{R_{4}=20\Omega}$

<h2>Step-by-step explanation:</h2>

If resistors are in series, so the current $I$ is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows: