1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svetlana [45]
3 years ago
6

The estimated number of organisms in a population after t days is shown in the table below.

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

n = 600(1.2)^t

Step-by-step explanation:

edge

You might be interested in
A box of cereal is reduced by 30%. The new box contains 35 ounces. How many ounces did the old box contain?
kumpel [21]

Answer:

45.5

Step-by-step explanation:

6 0
3 years ago
One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides
Elina [12.6K]
<h2>Answer:</h2>

<em> The side of the triangle is either 38.63ft or 10.35ft</em>

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

This problem can be translated as an image as shown in the Figure below. We know that:

  • The side of the square is 10 ft.
  • One of the vertices of an equilateral triangle is on the vertex of a square.
  • Two other vertices are on the not adjacent sides of the same square.

Let's call:

Since the given triangle is equilateral, each side measures the same length. So:

x: The side of the equilateral triangle (Triangle 1)

y: A side of another triangle called Triangle 2.

That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

\mathbf{(1)} \ x^2=100+y^2

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

y+(10-y)=10

Therefore, for Triangle 3, we have that by Pythagorean theorem:

(10-y)^2+(10-y)^2=x^2 \\ \\ 2(10-y)^2=x^2 \\ \\ \\ \mathbf{(2)} \ x^2=2(10-y)^2

Matching equations (1) and (2):

2(10-y)^2=100+y^2 \\ \\ 2(100-20y+y^2)=100+y^2 \\ \\ 200-40y+2y^2=100+y^2 \\ \\ (2y^2-y^2)-40y+(200-100)=0 \\ \\ y^2-40y+100=0

Using quadratic formula:

y_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ y_{1,2}=\frac{-(-40) \pm \sqrt{(-40)^2-4(1)(100)}}{2(1)} \\ \\ \\ y_{1}=37.32 \\ \\ y_{2}=2.68

Finding x from (1):

x^2=100+y^2 \\ \\ x_{1}=\sqrt{100+37.32^2} \\ \\ x_{1}=38.63ft \\ \\ \\ x_{2}=\sqrt{100+2.68^2} \\ \\ x_{2}=10.35ft

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>

5 0
3 years ago
Read 2 more answers
Can sumone pls help me i frfr dont understand this
dybincka [34]

Answer:

No more

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-2,4,-8,16... find the 20th term.
Len [333]

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

7 0
3 years ago
12 divided by 3 parenthesis 4
Stels [109]
12 divided by 3 equals 4. And the. Parentheses means multiply, so 4x4=16

Hope this helps! Good luck!
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is circle with diameter with 15cm
    11·1 answer
  • Help. Me with this please.
    5·2 answers
  • There are 80 sixth graders, 90 seventh graders, and 70 eighth graders at your school. Every student gets entered in a raffle. Wh
    8·2 answers
  • Bill has $270.61 in his account before making any transactions. Over the course of a week, Bill makes the following transactions
    6·2 answers
  • At noon, a tank contained 10 cm of water. after several hours, it contained 7 cm of water. what is the percent decrease of water
    10·1 answer
  • Find the slope of a line through the points (-6, -2) and (-4,-5).
    9·1 answer
  • Someone help me out with this question anyone please
    15·1 answer
  • What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)
    6·1 answer
  • Find the missing sides and calculate the perimeter.
    9·1 answer
  • Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!