Explanation:
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The remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1.
To solve the question above, we make use of the remainder theorem.
Remainder Theorem: It states that if a function F(x) is divided by (x-a), the remainder is F(a).
From the question,
Given:
- Dividend ⇒ p(x) = -2x⁵+x⁴+5x³+4x+1
- Divisor ⇒ (x-2)
in view of the above and applying the Remainder theorem, The remainder will be p(2)
- p(2) = -2(2⁵)+2⁴+5(2³)+4(2)+1
- p(2) = -64+16+40+8+1
- p(2) = 1
hence the remainder when p(x) = -2x⁵+x⁴+5x³+4x+1 is divided by (x-2) is 1
Learn more about the remainder theorem here: brainly.com/question/13328536
There is 50% probability that their daughter's son will have the disease, because daughter chromosomes are XX , and the X from father will have x- linked disease, now in next generation the son will have XY chromosomes, Y is from father and X will from mother, now mother have two "XX", out of these two one carry x- linked disease, that means 50 percent chances of having disease in son.
Answer: A: Pine, Cedar and Mango.
B: Pine and Cedar
C: Mango, Cedar and Elm
D: Pine and Cedar
Explanation: Evergreens plants always have there leaves on regardless of the season, because their roots go very deep into the soil getting water and nutrients far below the levels other tap roots can go, they are mainly found in the rain forest region that have abundance of water. Example, Mango
Deciduous trees are usually found at desert places that dont always have water, so they lose their leaves during etreme weather to reduce the rate of evaporation of water on its surface. Example, Maple.
Hardwood: These are flowering plants. they usually have broad leaves and nuts. example, Mahogany.
Conifers: These are cone bearing seed plants. they are perennial and woody plants. Example Pine.
Answer
Two structures located in the diencephalon are hypothalamus and epithalamus
Explanation
The diencephalon of the human brain has four main structures which are the hypothalamus, the thalamus, the epithalamus and the subthalamus. Thalamus structure is at the center of the brain which relays sensory impulses to the cerebral cortex. The hypothalamus regulates the temperature of the body while the epithalamus maintains the circadian rhythms.
