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2 years ago

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An algal population on the surface of a pond grows by 10% every day. The area it covers can be modelled by the equation y=k$1.1t

, where tis measured in days, starting from 09:00 on Tuesday, when the algae covered 10 m2. What area will it cover by 09:00 on Friday?

1 answer:

Nata [24]2 years ago

8 0

Answer:

Step-by-step explanation:

nilgshgkmhgmjhsbhjh

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

7 0

8 months ago

slava [35]

Answer:

Equation 1 x=-16

Equation 2 m=-3

Step-by-step explanation:

Equation 1

3x-x=-24-6

2x=-32

x=-32/2

x=-16

Equation 2

-2m=16-10

-2m=6

m=6/-2

m=-3

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2 years ago

WILL GIVE BRAINLIEST!!!

grin007 [14]

Answer:

i think the second one

Step-by-step explanation:

i think it would be the smartest thing to pick

7 0

3 years ago

How do you solve this 8*[[(7+4)*2]-[(11-7)*4]]? I am trying to help my son with his homework and sad to say I am 46 and I can't

elena55 [62]

Answer: 160

Step-by-step explanation:

Don't know how to

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2 years ago

Kiran starts at 9:00 am by bicycle to reach office. She cycles at the speed of 8 km/hour and reaches the office at 9:15 am. By h

Ivenika [448]

Answer:

v = 12 km/h

Step-by-step explanation:

To find how much she should increase the speed first we need to find the distance traveled:

$d = v*t$

Where:

d: is the distance traveled =?

v: is the velocity = 8 km/h

t: is the time = 15 min (9:00 to 9:15)

$d = v*t = 8 km/h*15 min*\frac{1 h}{60 min} = 2 km$

Now, we can find the speed:

$v_{f} = \frac{d}{t} = \frac{2 km}{10 min*\frac{1 h}{60 min}} = 12 km/h$

Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.

I hope it helps you!

6 0

2 years ago