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Molodets [167]
3 years ago
12

What is the value of

)^2-(1/2)" alt="(8/3)+(-3)^2-(1/2)" align="absmiddle" class="latex-formula">? (Write your answer as a fraction in reduced form).
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

Exact Form 67/6

Mixed Number Form 11 1/6

Step-by-step explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6   1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction \frac{16-3}{6}

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

\frac{9*6 + 13}{6} = 67/6

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storchak [24]
Sum of two sides always greater than the third side

If c is the smallest number, then

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c > 2

If c is the largest number, then

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12>c

Adding c>2 and 12>c, you get 12>c>2 for the answer
4 0
3 years ago
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A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
lesya [120]

Answer: Exponential decay model:

y

=

x

(

1

−

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t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

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=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

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1

−

r

)

t

=

125

(

1

−

0.3

)

t

=

125

⋅

0.7

t

Half life:

y

=

125

2

=

62.5

mg

∴

62.5

=

125

⋅

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

∴

t

=

log

(

0.5

)

log

(

0.7

)

≈

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

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After

t

=

3

hours , remaining drug on patient's system is

y

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125

⋅

0.7

t

=

125

⋅

0.7

3

=

42.875

mg [Ans]

8 0
2 years ago
Determine if the two expressions are equivalent and if so name the property that is being used.
Vinil7 [7]

Answer: i really dont know

Step-by-step explanation: but 46

6 0
3 years ago
PLEASE SEE THE ABOVE PICTURE.<br><br>Solve this part please fast<br>Give the right answers <br><br>​
galina1969 [7]

Step-by-step explanation:

believe it or not, the area of any triangle is

baseline × height / 2

we have here 2 triangles, both with the same baseline (8 cm), but with 2 different heights : 6.5 cm and 4.6 cm.

so, their areas are

8 × 6.5 / 2 = 4 × 6.5 = 26 cm²

8 × 4.6 / 2 = 4 × 4.6 = 18.4 cm²

so, in total, the shaded region is

26 + 18.4 = 44.4 cm²

8 0
2 years ago
Write an equation of the line that passes through the points<br> (0, 3) and (-5, 0).
Setler [38]

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

5 0
3 years ago
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