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Vaselesa [24]
2 years ago
10

Triangle ABC has been reflected over the y- axis to create triangle A’B’C’. Which of the following statements is true ? B’C’ = 2

A’B’ = 2 AB = 2 AC = 2
Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0

Answer:

B'C' = 2

Step-by-step explanation:

Just took the FLVS test and it was correct

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A researcher is testing how bacterial cells react to different environments. She placed a petri dish that initially had 32,000 b
Nataly [62]

<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

y=a(1 - r)^x

Where,

  • a = starting amount  = 32000
  • r = rate  = 50% = 0.5 as the sample becomes halved in each hour
  • x = hours

Putting the values,

\Rightarrow y=32000(1 - 0.5)^x

\Rightarrow y=32000(0.5)^x

y-intercept means, where x=0, so

\Rightarrow y=32000(0.5)^0\\\\\Rightarrow y=32000\times 1=32000

The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

\Rightarrow y=32000(0.5)^3

\Rightarrow y=32000\times 0.125

\Rightarrow y=4000

The  coordinate of this point will be (3, 4000)

7 0
2 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
lbvjy [14]

Answer:

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

0 = – 3x2 – 2x + 6

It can still be written as

– 3x2 – 2x + 6 =0

Quadratic formula=

-b+or-√b^2-4ac/2a

Where

a=-3

b=-2

c=6

x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

8 0
2 years ago
A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 2
inn [45]
You'll make a profit of $150.
3 0
2 years ago
A swimming pool has about 603 cubic feet of water. The pool liner has a small hole and is leaking at a rate of 1.5 cubic feet ea
Readme [11.4K]

Answer:

Ruby’s function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume is the dependent variable.

Step-by-step explanation:

sample response

3 0
2 years ago
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Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0
2 years ago
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