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sineoko [7]
3 years ago
11

Simplify(x²y³z²)and evaluate x³yz²)and evaluate x=½,y=2,z=3

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

(½² x 2³ x 3²)

¼ x 8 x 9

¼ x 72

= 18

½³ x 2×3

Step-by-step explanation:

½² x 2³ x 3²

¼ x 8 x 9

¼ x 72

= 18

½³ x 2 x 3²

⅛ x 2 x 9

⅛ x 18

¼ x 9

9/4

=2¼

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How do I do this qn?
denis-greek [22]
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:

log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)

log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)

simplifying by writing log9 = 2log3 and log6 = log2+log3

x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) = 
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)

So 6^x = 4/9
3 0
3 years ago
Given f(x)= -x+15, what is f(-3) A.-45 B.12 C.18 D.45
lina2011 [118]
So you just subsitute -3 for x
f(-3)=-(-3)+15
f(-3)=3+15
f(-3)=18
answer is C
18
8 0
3 years ago
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inche
allochka39001 [22]

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

7 0
3 years ago
PLEASE HELP GIVING BRAINLIEST
Alexeev081 [22]

Answer:

(-5-3/2,3+1/2)

(-13/2,7/2)

option A is correct

Step-by-step explanation:

Hope it helps

4 0
3 years ago
Read 2 more answers
PLS EXPLAIN IN FULL DETAIL
elena-14-01-66 [18.8K]

Answer:

1.50x=18

x=12

Step-by-step explanation:

You have to divide 1.50 on both sides and 1.50x/1.50= x and 18/1.50=12 so x=12

3 0
3 years ago
Read 2 more answers
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