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
Alex
4 years ago
11

Grace placed 3 strands bacteria in a petri dish. The bacteria strands triple every hour. Write a formula to

Mathematics
1 answer:
WARRIOR [948]4 years ago
5 0

Answer:

a) The growth of bacteria at nth hour is : 3^{n}

b) At the end of the fourth hour, there are 81 stands of the bacteria    

    present.

Step-by-step explanation:

The number of initial bacteria in the dish = 3 strands

Rate at which bacteria multiply = 3 times every hour

So, the general form which represents the growth

As it multiplies three times every hour, so at nth hour:

The growth of bacteria at nth hour is : 3^{n}

Now, at n = 4, the growth of the bacteria is  3^{4}

= 3 x 3 x 3 x 3

⇒ 3^{4} = 81

So, at the end of the fourth hour, there are 81 stands of the bacteria present.

You might be interested in
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
What is 1 7/8 + 2/8 ???
ludmilkaskok [199]

Answer:

The answer is 2.375.

Step-by-step explanation:

17 / 8 = 2.125.

2 / 8 = 0.25.

2.125 + 0.25 = 2.375.

4 0
3 years ago
how are the ordered pairs 4,9 and 4,-9 similar, and how are they different? Are the two points related by a reflection over an a
eduard
(4,9) is in quarter I and (4,-9) is in quarter IV of the graph. (4,-9) is the point (4,9) reflected over the x-axis. they are similar bc both have 4 as their x coordinate.
5 0
3 years ago
Mr. Gonzales has only $55.00 to spend at a clothing store. He wants to buy a shirt that costs $30, including tax, and some brace
Stella [2.4K]
55-30-x=0. ?

not really sure
7 0
4 years ago
1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:
SCORPION-xisa [38]
Hey there!

(Part 1) <span> 

Your question states: 

Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.

180</span>°-70°= 110° ✓

This person  would be driving 110° degrees. ✓

So, what we would do it do 180° subtracted by 70. We need to find how much he turns onto King Avenue heading northeast. So we do 180° because that would be considered a full half turn, so 180° subtracted by 70 and that would give you . . . 

180° - 70° = \boxed{\boxed{110}}

(Part 2)

Your question states: 
<span>
Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.</span>

This may be a little tricky on this side. These side's are coherent. As we know now that the angel on (King Ave.)  was 110°, we would say the on the (3rd angel through King Ave.) that angel as well would be 110° because that is the angel on top. This would mean that they would be the same. But the thing is, we are finding what is the angel when the car is traveling southwest on King Avenue and turns left onto 3rd Street. This angel would be 70° degrees because as we do 70° + 70° + 110° + 110° = 360°.

This is how we would know that this would be that angel going into (<span>3rd Ave).

</span>My steps: 360° - 110° - 110° = 140°.

140° ÷ 2 = ∡70° ✓

Your correct answer would be \boxed{\boxed{70}}

Step #3

Your question states: 

<span>Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
</span>
Your correct answer would equal 110°. <span>✓</span>

My steps:

360° - 75° - 75° = 210°

210° ÷ 2 = 105° ✓

Your correct answer would be \boxed{\boxed{105}}
_____________________________________________________________

I Hope this help you!
~Jurgen

4 0
4 years ago
Read 2 more answers
Other questions:
  • Simplify 17 square root 17 - 9 square root 17
    12·1 answer
  • Solve for x. 78(−32−48x)+36=23(−33x−18)−10x Enter your answer in the box. x =
    12·1 answer
  • The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o
    5·1 answer
  • A cylinder has a volume of 54 m3 and a radius of 3 m.<br> What is its height, h?
    5·1 answer
  • F(x)= (1,2) (3, -4) (-5, -8)​
    6·1 answer
  • The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.
    15·1 answer
  • Help me again plzzzz<br> decimals<br> whats 389.5 divided by 10 with the power of 4.
    10·2 answers
  • Plsss help this is due today
    10·2 answers
  • 48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river run
    14·1 answer
  • What is the slope of (16,9), (17,9)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!