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elena-s [515]
3 years ago
15

Mathematics 14 question don’t understand

Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer:

  1/3^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

Your expression simplifies as follows:

  (3^4)^{-8}= 3^{4(-8)}=3^{-32}=\boxed{\dfrac{1}{3^{32}}}

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Side a=15 and side b=20 what is side c
Digiron [165]

Answer:

side c is 25

Step-by-step explanation:

6 0
3 years ago
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Please help here is the problem!
icang [17]
<h3>Answer:  k^2*p^6</h3>

Work Shown:

s = length of each side

s = kp^3

A = area of square

A = s^2

A = s*s

A = (kp^3)*(kp^3)

A = (k*k)*(p^3*p^3)

A = k^2*p^6

To multiply the terms, you add the exponents. Think of k as k^1, so k*k = k^1*k^1 = k^(1+1) = k^2

3 0
3 years ago
The angle θ lies in Quadrant II .
Andreyy89

let's keep in mind that, in the II Quadrant, cosine is negative and sine, is positive.

cosine is adjacent/hypotenuse, however the hypotenuse is simply a radius unit, and thus is never negative, so in the -(2/3) the negative must be the numerator, -2.


\bf cos(\theta )=\cfrac{\stackrel{adjacent}{-2}}{\stackrel{hypotenuse}{3}}\impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{3^2-(-2)^2}=b\implies \pm\sqrt{5}=b\implies \stackrel{\textit{II Quadrant}}{+\sqrt{5}=b}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{5}}}{\stackrel{adjacent}{-2}} \\\\\\ ~\hspace{34em}

6 0
4 years ago
Which statement describes how the graph of the given polynomial would change if the term -3x6 is adde
Lesechka [4]

Given:

Polynomial is 2x^6+9x^5-7x^3-1.

Term -3x^6 is added in the given polynomial.

To find:

The end behavior of new polynomial.

Solution:

Let, P(x)=2x^6+9x^5-7x^3-1.

New polynomial is

f(x)=2x^6+9x^5-7x^3-1+(-3x^6)

f(x)=(2x^6-3x^6)+9x^5-7x^3-1

f(x)=-x^6+9x^5-7x^3-1

Highest power of x is 6 which is even and leading coefficient is negative. So,

f(x)\to -\infty\text{ as }x\to -\infty

f(x)\to -\infty\text{ as }x\to \infty

Both ends of the graph will approach negative infinity.

Therefore, the correct option is A.

5 0
3 years ago
Terrell Davids' charge account statement shows an unpaid balance of $110.00. The
faltersainse [42]

Answer:

Step-by-step explanation:

New Balance = 110 + 110*2/100

New Balance = 110 + 2.20

New Balance = 112.20

8 0
3 years ago
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