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Questions in Grade High-school

[Homework Help] Alex makes ceramic bowls to sell at a monthly craft fair in a nearby city. Every month, she spends $50 on materials for the bowls from a local art store. At the fair, she sells each completed bowl for a total of $25 including tax. Which equation expresses Alex's profit as a function of the number of bowls that she sells in one month? 1. [tex]p(x) = 50x + 25[/tex] 2. [tex]p(x) = 15x + 25[/tex] 3. [tex]p(x) = 25x[/tex] 4. [tex]p(x) = 25x - 50[/tex] Why?

[Homework Help] Genetic Crosses Question: A brown coat is dominant to a white coat in cattle. A farmer has a brown bull. How would you determine whether the bull is a heterozygote for the dominant allele?

[Homework Help] The diagram shows a patio in the shape of a rectangle. The patio is 3.6 m long and 3 m wide. Mathew is going to cover the patio with paving slabs. Each paving slab is a square with a side of 60 cm. Mathew buys 32 of the paving slabs. A) Does Mathew buy enough paving slabs to cover the patio? The paving slabs cost £8.63 each. B) Work out the total cost of the 32 paving slabs.

[Homework Help] A sequence has an initial value of 10, and each term is twice the previous term. Which function models this sequence? 1) \(a(n) = 10 \times 2^n\) 2) \(a(n) = 10 \times 2^{n-1}\) 3) \(a(n) = 10 + 2n\) 4) \(a(n) = 10 + 2(n-1)\)

[Homework Help] A pack of 9 toilet rolls costs £4.23. A pack of 4 toilet rolls costs £1.96. Which pack gives the better value for money? You must show all your working.

[Homework Help] Yolanda owns 4 rabbits. She expects the number of rabbits to double every year. a) After how many years will she have 64 rabbits? b) Write an equation to model this situation. Show work please.

[Homework Help] If the function \( h(x) \) represents the number of full hours that it takes a person to assemble \( x \) sets of tires in a factory, which would be an appropriate domain for the function? 1. The set of real numbers 2. The set of negative integers 3. The set of integers 4. The set of non-negative integers Why?

[Homework Help] In what respect does an atom of magnesium differ from a magnesium ion ([tex] \text{Mg}^{2+} [/tex])? A. The ion has a more stable electronic arrangement than the atom. B. The positive charge on the nucleus of the ion is two units greater than the nuclear charge on the atom. C. The ion has two more protons than the atom. D. The ion will react more readily with free [tex] \text{Cl}_2 [/tex]. E. The ion has two more planetary electrons than the atom.

[Homework Help] Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, [tex]w[/tex], can be modeled by the function [tex]w = -3m + 205[/tex], where [tex]m[/tex] is the number of months after January 2013. a) How much did Jonathan weigh at the start of the diet? b) How much weight has Jonathan been losing each month? c) How many months did it take Jonathan to lose 45 pounds? Show work, please.

[Homework Help] Find the difference: [tex]7 \frac{7}{8} - 3 \frac{1}{4}[/tex]