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Agata [3.3K]
3 years ago
6

If k pencils cost c cents what is the cost in cents of p pencils

Mathematics
1 answer:
velikii [3]3 years ago
6 0
The cost in cents of 1 pencil = c/k

<span>the cost in cents of p pencils = (c/k) * p</span>
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a(t)=(t−k)(t−3)(t−6)(t+3) is a polynomial function of tt, where kk is a constant. Given that a(2)=0a(2)=0, what is the absolute
Crank

Since a(2)=0, we know that t-2 must be a factor of a(t), so k=2. Then the zeros of a(t) are t=2,3,6,-3, and their product is -108, whose absolute value is 108.

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2 years ago
Find the exact value of cos(sin^-1(-5/13))
son4ous [18]

bearing in mind that the hypotenuse is never negative, since it's just a distance unit, so if an angle has a sine ratio of -(5/13) the negative must be the numerator, namely -5/13.

\bf cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{then we can say that}~\hfill }{sin^{-1}\left( -\cfrac{5}{13} \right)\implies \theta }\qquad \qquad \stackrel{\textit{therefore then}~\hfill }{sin(\theta )=\cfrac{\stackrel{opposite}{-5}}{\stackrel{hypotenuse}{13}}}\impliedby \textit{let's find the \underline{adjacent}}

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2-(-5)^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a \\\\[-0.35em] ~\dotfill\\\\ cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right]\implies cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 12}}{13}

le's bear in mind that the sine is negative on both the III and IV Quadrants, so both angles are feasible for this sine and therefore, for the III Quadrant we'd have a negative cosine, and for the IV Quadrant we'd have a positive cosine.

8 0
3 years ago
Which is the correct answer?
vovangra [49]

B is the correct answer , it is incorrect.

5 0
3 years ago
Read 2 more answers
Nina needs to purchase 1/3 of a pound of chicken for each person in her family. There are eight people in her family. How many p
4vir4ik [10]

Answer:

2\frac{2}{3} pounds

Step-by-step explanation:

Each person will eat 1/3 pound of chicken, and there are 8 people. So, we want eight 1/3 pounds. We can write this as an addition problem:

1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3

This addition problem is equivalent to the multiplication problem: 8 * (1/3)

Both will yield the same result: 8/3 pounds = 2\frac{2}{3} pounds, and that's the answer.

Hope that helps!

3 0
3 years ago
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