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N sweets in a bag. 6 sweets are orange. The rest are yellow. Hannah takes a random sweet from the bag and eats it. She then takes another random sweet from the bag & eats it. The probability Hannah eats 2 orange sweets is 1/3. Show n^2 - n - 90 = 0.

It's a probability equation. The probability of getting an orange sweet the first time is 6/n. The probability of getting an orange sweet the second time is 5/n-1Times those together to get the probability o...
HB
Answered by Hannah B. • Maths tutor
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What is the role of ADH in water homeostasis?

Homeostasis is maintaing the body's internal environment. Antidiuretic Hormone (ADH) is synthesised in the hypothalamus and secreted by the pituitary gland in response to low water in the body. It acts on th...
JA
Answered by Jemimah A. • Biology tutor
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Find x when: (2^x)(e^(3x+1))=10. Give your answer in the form (a + ln(b)) / (c + ln(d)) , where a,b,c,d are integers.

First notice x is currently written as a power of 2 and 3x + 1 is written as a power of e, so we are going to need to use some sort of log to start getting x on its own. You can take a clue from the question...
TS
Answered by Thomas S. • Maths tutor
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A curve has equation y = 4x^2 + 5x + 3. A line has equation y = x + 2. What is the value of x?

First you as both equations are = to y you can make them equal to eachother. 4x 2 +5x +3 = x+ 2.Then you rearrange the equation to gather all the terms on one side and make the equation = to 0. You minus x f...
KH
Answered by Katherine H. • Maths tutor
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What is the relationship between love and marriage in Jane Austen’s ‘Pride and Prejudice’?

Jane Austen as a female writer in the late 18th and early 19th century was innovative for her modern outlook on what the relationship between love and marriage should be. Austen creates a satire of Mrs Benne...
GF
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