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liq [111]
3 years ago
7

Can someone help me with this two questions pls!!! I don't know how I can solve pls!

Mathematics
2 answers:
aivan3 [116]3 years ago
4 0
20)

\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\\\
\textit{also recall that }a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\
-------------------------------

\bf \cfrac{(-54)^2}{\sqrt[3]{(-54)^5}}\implies \cfrac{(-54)^2}{(-54)^{\frac{5}{3}}}\implies (-54)^2(-54)^{-\frac{5}{3}}\implies (-54)^{2-\frac{5}{3}}
\\\\\\
(-54)^{\frac{6-5}{3}}\implies (-54)^{\frac{1}{3}}\implies \sqrt[3]{(-54)^1}\implies \sqrt[3]{(-54)}
\\\\\\
\begin{cases}
54=2\cdot 3\cdot 3\cdot 3\\
\qquad 2\cdot 3^3
\end{cases}\implies \sqrt[3]{-1\cdot 2\cdot 3^3 }\implies 3\sqrt[3]{-2}



22)

\bf -5\sqrt[3]{2x+3}=15\impliedby \textit{we first raise both sides by }^3
\\\\\\
(-5\sqrt[3]{2x+3})^3=(15)^3\implies (-5)^3(\sqrt[3]{2x+3})^3=3375
\\\\\\
(-125)(2x+3)=3375\implies 2x+3=\cfrac{3375}{-125}\implies 2x+3=-27
\\\\\\
2x=-30\implies x=-\cfrac{30}{2}\implies x=-15
grandymaker [24]3 years ago
4 0
The first one is,

- 3 \sqrt[3]{2}
The second one is,

x = 12
~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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3 years ago
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

We have given that:

There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp

Part A:

According to the above mentioned statement the function for representing the number of alligators and crocodiles in the swap throughout the year is:

Alligators = y=20(1.25)^x (x represents years)

crocodiles: y=10x+25

Part B:

Number of alligators after 4 years in the swap = y=20(1.25)^x

Number of alligators after 4 years in the swap = y=20(1.25)^4

Number of alligators after 4 years in the swap=48.82

This shows that about 48 to 49 alligators will be there in the swap after 4 year

Number of crocodiles after 4 years in the swap = y= 10(4)+25 = 65

Part C:

We will use the graph method to solve this part:

After approximately 7 years, the number of animals of each type will be the same, 95.

7 0
3 years ago
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The
svet-max [94.6K]

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

6 0
3 years ago
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Papessa [141]

Answer:88

Step-by-step explanation:

8 0
3 years ago
5.1x=-15.3 solve for x
LekaFEV [45]

Answer


x=-3


Hope it helps!!

3 0
3 years ago
Read 2 more answers
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