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3 years ago

Find each measure of the parallelogram

Mathematics

1 answer:

zysi [14]3 years ago

5 0

Answer:

z = 8

x = 5

Step-by-step explanation:

Because it is a parrallelogram 3z - 4 and 2z + 4 is congruent if you make it an equation and equal each other (3z - 4 = 2z + 4) It will be 8

They are also equal to each other so you will do the same thing

4x - 6 = x + 9

x = 5

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Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

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2 years ago

What's the radius of the circumference is 314

Bingel [31]

Its 50. Because circumference is 314. Divide that by 3.14 and you get the diameter. Divide by another 2 and you get 50.

5 0

2 years ago

A coin is tossed 1000 times and heads showed up 625 and tails 375

Mnenie [13.5K]

Answer:

Heads: 5/8

Tails: 3/8

Step-by-step explanation:

The probability of getting tails is 375/1000 OR 3/8.

The probability of getting heads is 625/1000 OR 5/8.

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2 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Y_Kistochka [10]

Answer:

y= 8x +7

Step-by-step explanation:

<u>slope-intercept form:</u>

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

$gradient = \frac{y1 - y2}{x1 - x2}$

Thus, gradient of the line

$= \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8$

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

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3 years ago

Which relationship is continuous? A. the number of cows a farmer has owned over the years B. the number of cookies Stan baked fo

elixir [45]

A, the relationship lasts over a given period of time.

5 0

2 years ago

Read 2 more answers