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kakasveta [241]
3 years ago
11

A scientist began a study with a sample of 1,500 bacteria. He noticed that the number of bacteria in the sample after t days can

be modeled by the equation P=1,500 • 5t . In this equation, what does 5t represent? A. The number of bacteria increases by 5 bacteria each day. B. The number of bacteria increases by a factor of t each day for 5 days. C. The number of bacteria increases by a factor of 5 each day. D. The number of bacteria increases by t bacteria after 5 days.
Mathematics
2 answers:
kozerog [31]3 years ago
5 0

The correct answer is the number of bacteria increases by a factor of 5 each day. I've tooken a quiz on it

eimsori [14]3 years ago
4 0

Answer:

The answer is c

Step-by-step explanation:

i took the test

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A stack of 500 pieces of paper is 2.375 inches tall. Type complete answers to the questions below in the box.
grigory [225]

Answer:

1. Diego is incorrect because 2.375 divided by 0.025 does not equal 500.

2. 2.375 / 500 = 0.00475 inches.

Step-by-step explanation:

1. We take the thickness of the stack and divide it by the thickness of each piece of paper to get how many pieces of paper are in the stack. In this case, Diego's guess indicates that there are only 95 pieces of paper in the stack.

2. The proper formula for this would question would be 2.375 / x = 500.

x represents the thickness of each piece of paper. We can solve for x by multiplying both sides by x to get 2.375 = 500x  then we divide both sides by 500 to isolate x.  

2.375 / 500 = x    

0.00475 = x

7 0
3 years ago
Write the equation of the conic section below.
tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

  • Vertex = (3, -1)
  • Directrix = y = -3

Therefore:

  • h = 3
  • k = -1
  • k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

7 0
2 years ago
Graph the equation <br>y= 0.5x
marusya05 [52]
Here is the graphed version of equation
Where the slope is 0.5 
and y-intercept is 0

6 0
3 years ago
What is the y-intercept of these two functions and how do you calculate it? Thank you!!!! (15 points)
Illusion [34]
5 is the y intercept my good sir
3 0
4 years ago
2+2=20? free coins have a good day
eimsori [14]

Answer:

THIS IS VERY TRUEE

Step-by-step explanation:

WHEN U PUT 2 AND 2 IS 4

8 0
3 years ago
Read 2 more answers
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