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Naya [18.7K]
3 years ago
9

F(x) = (1/4)^x. for x = -3

Mathematics
2 answers:
Trava [24]3 years ago
7 0
Plug in -3 for x into the equation.

(1/4)^-3

And solve

(1/4)^-3 = 64
Fantom [35]3 years ago
6 0
When an exponent is a negative number, it means that the term will be converted into a fraction, with 1 being the numerator, and the entire term being the denominator.

Rewrite the term:

F(-3) = \frac{1}{4}^{-3}

\frac{1}{\frac{1}{4}^3}

Solve the term in the denominator:

\frac{1}{4}^3 = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64}

\frac{1}{\frac{1}{4}^3} = \frac{1}{\frac{1}{64}}

There is a fraction within a fraction. In this case, a fraction is the denominator of another fraction. We can multiply out the denominator of the fraction and leave out its numerator to become the denominator of the bigger fraction:

\frac{1}{\frac{1}{64}} \times \frac{64}{64} = \frac{64}{1} = \boxed{64}

f(-3) will equal 64.
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How to Find x value: 9-0.75(x+8)-5=-6.5
Dahasolnce [82]
Here's how to find the value of x:

<span>9 - 0.75 ( x + 8 ) - 5 = -6.5      find the difference of 9 - 0.75

</span><span>8.25 ( x + 8 ) - 5 = -6.5           add 5 to both sides
</span>
8.25 ( x + 8 ) = -1.5                distribute 8.25 to x and 8

8.25x + 66 = -1.5                    subtract 66 from both sides

8.25x = -67.5                          divide both sides by 8.25

x = 18.18181818......            the value of x is 18 2/11

hope this helps
8 0
3 years ago
Which choice best reflects the overall sequence of
Grace [21]

Correct option is D. An unexpected result occurs during the initial phase of a study; the study is modified in response to this result and the results are interpreted and evaluated.

The writer begins this passage by stating that the ability of birds to fly has long been a source of debate among scientists.

The article then goes on to explain that when a group of students challenged Ken Dial to come up with new data on this hotly debated topic, he devised an experiment to study the evolution of flight by observing how baby Chukars learn to fly. Dial noted the unusual way the little Chukar "used its wings and legs cooperatively" to climb over hay bales during the experiment. Following that, he devised a series of experiments to investigate his discovery.

<h3>Below is the passage mentioned in the question is from Thor Hanson, Feathers by Thor Hanson - </h3>

" At field sites around the world, Ken Dial saw a

pattern in how young pheasants, quail, tinamous,

and other ground birds ran along behind their

parents. “They jumped up like popcorn,” he said,

5 describing how they would flap their half-formed

wings and take short hops into the air. So when a

group of graduate students challenged him

to come up with new data on the age-old

ground-up-tree-down debate, he designed a project

10 to see what clues might lie in how baby game birds

learned to fly.

.............................................................

Ken called the technique WAIR, for wing-assisted

incline running, and went on to document it in a

wide range of species. It not only allowed young

birds to climb vertical surfaces within the first few

weeks of life but also gave adults an energy-efficient

65 alternative to flying. In the Chukar experiments,

adults regularly used WAIR to ascend ramps steeper

than 90 degrees, essentially running up the wall and

onto the ceiling.

In an evolutionary context, WAIR takes on

70 surprising explanatory powers. With one fell swoop,

the Dials came up with a viable origin for the

flapping flight stroke of birds (something gliding

animals don’t do and thus a shortcoming of the

tree-down theory) and an aerodynamic function for

75 half-formed wings (one of the main drawbacks to the

ground-up hypothesis). "

To learn more about passages from the given link

brainly.com/question/27860285

#SPJ4

7 0
2 years ago
Help me in math i'm<br> confused
Airida [17]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Please help!!!!!!!!!!
Reptile [31]

Answer:

Julia find 2 more 3 inch leaves than 4 inch leaves

4 0
2 years ago
5. How many 1/2 cups can be filled with 500 milliliters of liquid?
Alla [95]

Answer:4

Step-by-step explanation:

1/2 cups equal 120 ml

so we have 500 ml and in order to find how many 1/2 cup can you find 500ml

ans = 500/120 = 4.16666666667 now we will try to convert it into a whole number which equal to four (4)

7 0
3 years ago
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