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bagirrra123 [75]
3 years ago
7

Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power i

s another way to write .
Mathematics
2 answers:
RideAnS [48]3 years ago
3 0

Question:

Use the expression to complete the statements.

(0.5)^{10\\

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

(0.5)^{10\\ = (\frac{1}{2})^{10} -- another way to write

Step-by-step explanation:

Given

(0.5)^{10\\

Required

Fill ion the gaps

(0.5)^{10\\ is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write (0.5)^{10\\

Express 0.5 as a fraction

(\frac{5}{10})^{10}

Simplify the fraction

(\frac{5/5}{10/5})^{10}

(\frac{1}{2})^{10}

Hence:

(0.5)^{10\\ = (\frac{1}{2})^{10}

Ivanshal [37]3 years ago
3 0

Answer:

Power. Base. Exponent. Reaped multiplication

Step-by-step explanation:

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Which is the graph of g(x) = ⌈x + 3⌉?
77julia77 [94]
ANSWER

\boxed {D}


EXPLANATION


The given function is,

g(x) = ⌈x + 3⌉

The parent function of this ceiling function is

g(x) = ⌈x ⌉

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

g(x) = ⌈x + 3⌉


The correct answer is option D.

See attachment.

6 0
3 years ago
A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car
olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

C=2\pi r = 32\pi

So, we have the following proportion:

360\div 32\pi = x \div 48

that you can read as: "if an angle of 360 corresponds to a distance travelled of 32\pi, then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9

5 0
3 years ago
Complete the table shown to the right for the population growth model for a certain country.
marta [7]

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Reasons:

The table is presented as follows;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&\end{array}\right]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}

r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx  -0.02255

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \  K \\40.5&20.9&-2.255\%\end{array}\right]

Learn more here:

brainly.com/question/25354980

6 0
2 years ago
Evaluate 1x^3 –2x^2 – 4x- 6 at x = 4
Whitepunk [10]

Answer:

10

Step-by-step explanation:

1x^3-2x^2-4x-6

x^3-2x^2-4x-6

(4)^3-2(4)^2-4(4)-6

64-2(16)-16-6

64-32-16-6

32-16-6

16-6

10

So when x=4, the output will be 10

4 0
3 years ago
James knows that he eventually wants to buy a motorcycle, and the model he has in mind costs $5,000. He has found a bank that wi
svetlana [45]

Answer:

3527

Step-by-step explanation:

Using our compound interest formula we can plug in all of our given values and solve for P.

A(t)=P(1+r/n)^nt

5,000=P(1+0.07/12)^12(5)

P=5000/(1+0.07/12)^60

P≈$3,527

4 0
3 years ago
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