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julia-pushkina [17]
3 years ago
14

I need help what's the value of 4^-5 ?

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Step-by-step explanation:

{4}^{ - 5}  =  \frac{1}{ {4}^{ 5} }  \\  \\  =  \frac{1}{1024}  = 1024 {}^{ - 1}

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Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
ExtremeBDS [4]
15% of 40 = 6 so I’m guessing it would be 6
3 0
3 years ago
B is two-fifth of c
notka56 [123]

Answer:

8a:15b:6c

a:b:c = 8:15:6

7 0
2 years ago
84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
Find the degree of the following polynomial:<br> 7xy223 + 8y5 – 3x4 + 4
Vika [28.1K]

Answer:

224

Step-by-step explanation:

polynomial degree:224

leading term:7x^223

leading coefficient:7

8 0
3 years ago
The Atlantic Salmon swim upstream at a steady rate of 2 miles every 3 minutes. Fill in the table to describe the relationship. R
Likurg_2 [28]

The distance traveled by the Salmon is proportional to the duration spent

swimming.

A table of the distance traveled by the Atlantic Salmon is presented as follows;

\begin{tabular}{|c|c|c}\underline{Time in minutes}&\underline{Miles Traveled  at 2/3 miles per minute } \\1&2/3  \\2&4/3\\3&2\\4&8/3\\5&10/3\\6&4\end{array}

Reasons:

The given parameter are;

The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes

Distance the Salmon swims, d ∝ Time taken, t

Therefore;

d = s·t

Where;

s = The constant of proportionality = The speed

Which gives;

\displaystyle s = \mathbf{\frac{Distance, \, d}{Time, \, t}}

The speed with which the Atlantic Salmon swims per minute is therefore;

\displaystyle The \ speed = \mathbf{\frac{2 \ miles}{3 \ minutes}} = \frac{2}{3} \ miles /minute

The distance travelled, <em>d</em>, is given as follows;

\displaystyle d = \mathbf{\frac{2}{3} \times t}

A table showing the distance travelled by the fish with time is presented as follows;

\begin{tabular}{|c|c|c|}\underline{Time, t, in minutes}&\underline{t \times d}&\underline{Miles Traveled, d,  at 2/3 miles per minute } \\1&1 \times 2/3 = 2/3&2/3  \\2&2 \times 2/3 = 4/3&4/3\\3&3 \times 2/3 = 2&2\\4&4 \times 2/3 = 8/3&8/3\\5&5 \times 2/3 = 10/3&10/3\\6&6 \times 2/3 = 4&4\end{array}

Learn more about constant of proportionality here:

brainly.com/question/11703625

8 0
2 years ago
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