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dedylja [7]
3 years ago
14

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

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In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Levart [38]

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

7 0
3 years ago
Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vert
kkurt [141]

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Step-by-step explanation:

The given is,

                    Gabrielle is cutting a triangular sign

                     Base of 8 inches

                     The perpendicular distance from the base of the sign to its vertex is 9 inches

Step:1

             Formula for area of triangle is,

                                               Area, A = \frac{bh}{2}.....................................(1)

            Where, b - Base of triangle

                         h -  Height of triangle

            From given value,

                             b - 8 inches

                             h - 9

           Equation (1) becomes,

                                                         A = \frac{(8)(9)}{2}      

                                                             =\frac{72}{2}          

                                                             = 36

                     Area of triangle sign, A = 36 square inches

Result:

             The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

8 0
3 years ago
What is the Slope of a line that contains (-11,5) and (-6,1)
Anna007 [38]

Answer:

-5/4

Step-by-step explanation:

Im pretty sure its -5/4

Sorry if im wrong, hope this helps!!

5 0
3 years ago
If A and B are mutually exclusive then: (A) P(A/B) = 0 (B) P(A/B) =P(B) (C) P(A or B) = 0 (D) P(A/B) = P(A) (E) none of the abov
Elis [28]

Answer:

A

Step-by-step explanation:

Two events are termed to be mutually exclusive if they cannot happen at the same time. This means that the probability of occurring at the same time is zero.

A is correct.

The probability of the two events happening at the same time is zero

B is incorrect

The probability of both happening at the same is not equal to the probability of B alone

C is incorrect

The probability of the union of the two is never equal to zero since they might occur at different times

D. Is incorrect

The probability of both happening at the same time is never equal to the probability of A alone

3 0
3 years ago
A single tree produces about 2.6x102 pounds of oxygen each year. the amazon rainforest has about 3.9 X 10 [ ] pounds per day ent
balu736 [363]

Answer:

The answer to your question is 2.8 x 10¹¹

Step-by-step explanation:

Data

1 tree produces 2.6 x 10² pounds of oxygen/year

number of trees = 3.9 x 10¹¹

pounds of oxygen per day = ?

Process

1.- Divide the pounds of oxygen by 365, to get the pounds of oxygen per day.

                      2.6 x 10² / 365   = 0.712

2.- Multiply the number of trees by the pounds of oxygen per day

                     3.9 x 10¹¹  x   0.712  = 2.8 x 10¹¹ pounds of oxygen

4 0
3 years ago
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