Answer:
21 units
Step-by-step explanation:
7 units in 5 hours means 14 units in 10 hours which means 21 units in 15 hours.
5x3=15
7x3=21
Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.
For us to get a scale copy of the dimension, we need to first find the scale factor as shown;
Given the measure of rectangle A:
To get all of the measurement pairs that could be the dimensions of Rectangle B, we need to multiply the length and width by the same factor
Multiplying by 1/2
New length = 12 × 0.5 = 6cm
New width = 3 × 0.5 = 1.5cm
Hence 6cm by 1.5cm can be dimension of B
Multiplying by 1.5
New length = 12 × 1.5 = 18cm
New width = 3 × 1.5 = 4.5cm
Hence 18cm by 4.5cm can be dimension of B
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Answer:
(f - g)(2) = 2
Step-by-step explanation:
Given the functions below, find (f - g) (2).
f(x) = x² + 3
g(x) = 4x – 3
(f - g)(x) = (x²+3)-(4x-3)
(f - g)(x) = x²+3-4x+3
(f - g)(x) = x²-4x+6
(f - g)(2) = (2)²-4(2)+6
(f - g)(2) = 4-8+6
(f - g)(2) = 2
Step-by-step explanation:
Larval mosquitoes breath through trachea in their siphons. This is a structure analogous to the snorkel on a diesel electric submarine. It allows for gas exchange with the atmosphere while the remainder of the insect is submerged. The opening of the siphon is hydrophobic so it won’t get wet and blocked by water. This works well to keep the siphon and the trachea open under normal conditions. Oil when poured on water forms a thin film. When there are mosquitos in that water, when their siphons contact the oil layer, the oil wets and blocks their siphons and suffocates the mosquitoes. This works against most, but not all mossies, as evolution is an amazing process. Some mosquitoes (Mansonia, Coquilletidia) have a siphon designed to penetrate the air vessels in aquatic plants and they don’t need to come to the surface to breath like other mossies. So oil won’t work on these genera.
- Multiply (-2x-4) by -5:
[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29
= 10x+20+5x-4=-29
- Combine Like Terms:
(10x+5x) + (20-4) = -29
15x+16=-29
- Subtract 16 from each side
15x+16 -16 = -29 -16
15x = -45
x = -3