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8090 [49]
2 years ago
7

Tarantulas are one of the largest spiders on Earth. A

Mathematics
1 answer:
nlexa [21]2 years ago
3 0
Tarantulas are 5.9 centimeters longer.
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Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8),
butalik [34]

Answer:

The correct option is;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks

Step-by-step explanation:

The parameters given are;

Plant A:

Weeks,    Height

0,               3

1,                4.8

2,               6.6

3,               8.4

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant A per week is therefore;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week

Therefore we have;

H = 1.8 × t + 3

At week 6,

H = 3 + 6×1.8 = 13.8 inches

Plant B

Weeks,    Height

2,               7.3

3,               8.7

4,               10.1

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant B per week is given as follows;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week

Therefore we have;

When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀

Where:

H₀ = H at t = 0

H₀ = 7.3 - 2 × 1.4 = 4.5

At week 6 we have;

H = 4.5 + 6×1.4 = 12.9 inches

Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.

The correct option is therefore;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.

5 0
3 years ago
Read 2 more answers
A dance floor is in the shape of a rectangle.
zubka84 [21]

Answer: 98

Step-by-step explanation: 25+24+25+24

There are two parts to a rectangle. The opposite sides are the same. You add them all up to equal 98.

Hope this helps and would appreciate getting brainliest to level up :)

6 0
3 years ago
Evaluate 4a + 7b + 3a – 2b for a = 4 and b = 3. <br> 48<br><br><br> 43<br><br><br> 57<br><br><br> 41
Natali [406]
4(4) + 7(3) + 3(4) - 2(3)
(16 + 21) + (12 - 6)
37 + 6
43
Your answer is B. 43
7 0
3 years ago
Read 2 more answers
Help me please with this ​
jeyben [28]

Answer:

(3,2)

Step-by-step explanation:

2x+5y=16

3x-5y=-1

add

5x= 15

x=3

plug back in

2(3)+5y=16

6+5y=16

5y=10

y=2

3 0
2 years ago
A(n)=-5+6(n-1) find the 12th term
Irina18 [472]

Answer:

a(12) = 61

Step-by-step explanation:

a(n)=-5+6(n-1)

let n =12

a(12) = -5 +6(12-1)

a(12) = -5 +6 *11

a(12) = -5 +66

a(12) = 61

3 0
3 years ago
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