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kumpel [21]
4 years ago
10

Which biconditional statement is true?

Mathematics
1 answer:
sineoko [7]4 years ago
7 0
Let us evaluate the given statements.
A, A number is divisible by 9 if and only is it ends in 3.
     23/9 is not divisible.
     FALSE

B.  A quadrilateral is a square if and only if it has four right angles.
     A rectangle is a quadrilateral with four right angles, but it is not a square.
     FALSE

C. The sum of two integers is positive if and only if the two integers are
     positive.
     12 + (-10) = 2 (positive).
     FALSE

D. A number is an even number if and only if it is divisible by 2.
     Thi is true by definition.
     TRUE 

Answer: D

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The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

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

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the test? Round to the near
Free_Kalibri [48]

Answer:

25 questions

Step-by-step explanation:

84%*x = 21

-simplify-

0.84 *x = 21

Divide both sides by 0.84 than...

you get x = 25

6 0
3 years ago
Which of the following is the correct SI unit to use in measuring the mass of a boulder. Please help!!
LenKa [72]

For this case, the first thing you should know is the meaning of the acronym S.I.

S.I .: International system

The unit for the mass of any object in the international system is:

m: [kilograms]

Therefore, the unit of measurement of the mass of a boulder is kilograms.

Answer:

the correct SI unit to use in measuring the mass of a boulder is:

C. kilograms

8 0
3 years ago
Read 2 more answers
Solve for y.<br><br> 25 = y2<br><br> y = <br> or
masya89 [10]

Answer:

y=5 or y=−5 it does not matter either one

Step-by-step explanation:

25=y2

Step 1: Subtract y^2 from both sides.

25−y2=y2−y2

−y2+25=0

Step 2: Subtract 25 from both sides.

−y2+25−25=0−25

−y2=−25

Step 3: Divide both sides by -1.

−y2

−1

=

−25

−1

y2=25

Step 4: Take square root.

y=±√25

y=5 or y=−5

8 0
3 years ago
Read 2 more answers
On a coordinate plane, 2 dashed lines are shown. The first straight line has a negative slope and goes through (0, 1) and (2, 0)
Lesechka [4]

Answer:

(-2,2) (1,3)

Step-by-step explanation:

i got it on my test i just did.

8 0
3 years ago
Read 2 more answers
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