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Alekssandra [29.7K]
3 years ago
15

Rewrite the expression in the form 2". E

Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer:

z^ {8/5}

Step-by-step explanation:

(z^{\frac{-4}{3})^{\frac{-6}{5} } \\We\ know\ that\ a^{(b)^c} = a^{bc}\\\\Hence, \\\\{z^{\frac{-4}{3})^{\frac{-6}{5}}\\}={z^{\frac{-4}{3}*\frac{-6}{5}\\}\\=z^{\frac{24}{15}}\\=z^\frac{8}{5}

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Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo
Damm [24]
0.5 + 0.75 = 1.25

1.25 rounds off to 1.
7 0
3 years ago
A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground
ICE Princess25 [194]

The ground, the building and the line of sight between the ground camera and the top of the building form right triangle with hypotenuse equal to 45 feet and angle adjacent to this hypotenuse and ground - 50°. The building is an opposite leg to the given angle, then you should write sine function:

\sin 50^{\circ}=\dfrac{height}{45} \\ \\ 0.766=\dfrac{height}{45}\\  \\ height=45\cdot 0.766=34.47.

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6 0
3 years ago
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
Dmitry [639]

Answer:

Option A. f(x)=86[1.04]^{x} ; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

we have

f(x)=86(1.29)^{x}

where

f(x) the number of weeds in the garden

x ----> the number of weeks

Calculate how quickly the weeds grow each day

Remember that a week is equal to seven days

so

f(x)=86(1.29)^{\frac{x}{7}}

Using the law of exponents

b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

so

f(x)=86[(1.29)^{\frac{1}{7}}]^{x}

f(x)=86[1.04]^{x}

therefore

The rate is approximately

1.04=1+r

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8 0
3 years ago
Can any number be written in scientific notation
choli [55]
Yes, I'm relatively sure any number can be written in scientific notation.
5 0
3 years ago
The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Setler79 [48]

Answer:

x = 5

  or

x = 3

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

3 0
2 years ago
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