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astraxan [27]
3 years ago
6

What is the value of 2 over 3 to the power of 0 to the power of -3

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

((\frac{2}{3})^0)^{-3}=1

Step-by-step explanation:

We need to find the value of ((\frac{2}{3})^0)^{-3}

Solving:

We know, (a^b)^n = a^{b*n}

((\frac{2}{3})^{0*-3})

(\frac{2}{3})^0

a^0 = 1

so,

(\frac{2}{3})^0=1

So, the value of ((\frac{2}{3})^0)^{-3}=1

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Solve 7.8e^((x/3)ln(5))=14. What are the exact and approximate solutions?
Dimas [21]

\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}

<u>Step-by-step explanation:</u>

7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\

x ≈ 1.09

6 0
3 years ago
Can you please help me with my math thank you
gayaneshka [121]
2•8.2•5.1=83.64 square feet.
ANSWER: 83.64 Square Feet
7 0
2 years ago
A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of
strojnjashka [21]

The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.

<h3>How high will be the pile of papers?</h3>

We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:

H = 0.55mm*274 = 150.7mm

Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:

V = H*W*L

In this case, we have:

  • H = 150.7mm
  • W = 18.5 cm = 185 mm
  • L = 24.5 cm = 245 mm

Then the volume is:

V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³

If you want to learn more about volumes:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
What is the area of the sector that is not shaded?
Elza [17]
There’s no photo attached but i’ll be happy to help you with the question!
6 0
2 years ago
I need the answer fast please​
Rainbow [258]
Substitute each value of x in y=2x-3

so,

first box (-2)
y= 2(-2)-3
y= -4-3
y= -7

second box (0)
y= 2(0)-3
y= 0-3
y= -3

third box (3)
y=2(3)-3
y=6-3
y=3
6 0
2 years ago
Read 2 more answers
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