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Amiraneli [1.4K]
3 years ago
11

What is the factored form of the polynomial z² − 10z + 25?

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass
Sauron [17]

Answer:

Quantity remaining= 27.5 grams

Step-by-step explanation:

If the initial quantity of the radioactive isotope= 220 grams

And for each half life it will reduce to half of its original quantity

For first half life

Quantity= 220/2

Quantity= 110 grams

Now for the second half life , the quantity to work with will be 110 grams

Second half life

Quantity= 110/2

Quantity= 55 grams

For the third half life , the quantity to work with is 55 grams

Third half life

Quantity= 55/2

Quantity= 27.5 grams

So after 3 half life's of this radioactive isotope, the amount remaining out of 220 = 27.5 grams.

Another simple way to do this

Since half life reduce the isotope by half of its original.

The third half life will reduce it by (1/2)^3= 1/8

So the quantity remaining= 1/8*220

Quantity remaining= 27.5 grams

6 0
2 years ago
If a greyhound can run up to 50mi/h. How long would it take a greyhound to run 10 mi?
dolphi86 [110]

Answer:

12 minutes

Step-by-step explanation:

(50miles/60 minutes)/5 = 10 miles/12 minutes

8 0
2 years ago
You invested a total of $25000 at 3% and 4.5% simple interest. During one year, the two accounts earned $900. How much did you i
Sedaia [141]
A:amount of money invested in the account with 3% simple interest
B: amount of money invested in the account with 4.5% simple interest
a+b=25000 ——>a=25000-b

0.03a+0.045b=900
30a+45b=900000
2a+3b=60000

2(25000-b)+3b=60000
50000-2b+3b=60000
B=10000
A=25000-10000=15000
4 0
3 years ago
A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in
velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}

                            = 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

3 0
2 years ago
HELP MEEEEE<br> In complete sentences, describe the characteristics of this scatterplot.
Umnica [9.8K]

Step-by-step explanation:

Scatter plots are dots scattered all over the graph.  I think that this is the easiest graph because all you need to do is put a dot where you want it.

A scatter plot doesn't need any lines, all it needs is dots.  

6 0
3 years ago
Read 2 more answers
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