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lana66690 [7]
3 years ago
11

The perimeter of rectangle Z is equal to its area. Rectangle Y has the same perimeter as rectangle Z. The length of rectangle Y

is 5 inches and the width is 3 inches. Explain how you can find length and width of rectangle Z.
Mathematics
1 answer:
yuradex [85]3 years ago
6 0
The length and width of rectangle Z would be 4 inches as the width and 4 inches as the length. This is because first, you combine and find the total perimeter of Rectangle Y. The perimeter of rectangle y would be P=length + length + width + width, which is 16 inches. Rectangle Z has the same perimeter total as rectangle Y and rectangle Zs area is the same as rectangle Y. 4x4 is equal to 16 while to find the perimeter, 4+4+4+4 is also 16.
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I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
What is the length, in feet, of the hypotenuse of a right triangle with legs that are 3 feet long and 4 feet long? Question 10 o
wel
A^2+b^2=c^2 so 4(4) +3(3) is 16+9= 25 and the square root of that is 5.
7 0
3 years ago
Consider the equations y = √x and y = x^2 - 1
lord [1]
<h3>Answer:</h3>

(x, y) ≈ (1.49021612010, 1.22074408461)

<h3>Explanation:</h3>

This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.

_____

Setting the y-values equal and squaring both sides of the equation gives ...

... √x = x² -1

... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides

... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.

By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.

8 0
3 years ago
Can you help
snow_tiger [21]
Positive if I looked at graph correctly
8 0
3 years ago
Ile to 12308+11093=??????pomóżcie
BARSIC [14]

Answer:

Twoja odpowiedź brzmi 23401.

Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.

4 0
3 years ago
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