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3 years ago

Show that 30.1111... is a rational number.

1 answer:

8 0

We know that 30.1111... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.

x = 30.1111....

10x = 301.1111....

Subtract both sides by x

10x - x = 301.1111.... - 30.1111...

9x = 271

x = 271/9

The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.

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The point slope equation of a line is?

snow_tiger [21]

Answer:

$\text{The point-slope equation of a line is:}$

$C.\ y-y_0=m(x-x_0)$

$m-\text{slope}\\\\(x_0,\ y_0)-\text{point on a line}$

6 0

3 years ago

What is the surface area of this design? 5 in 5 in 6.4 in 5 in 9 in

xeze [42]

ANSWER

$197 {in}^{2}$

EXPLANATION

The area of the two tra-pezoidal faces

$= 2 \times \frac{1}{2} \times (9 + 5) \times 5 = 70 {in}^{2}$

The area of the 5 by 6.4 rectangular face

$= 6.4 \times 5 = 32 {in}^{2}$

The area of the two square faces

$= 2(5 \times 5) = 50 {in}^{2}$

The area of the 9 by 5 rectangular face is

$= 9 \times 5 = 45 {in}^{2}$

The surface area of the design is:

$70 + 32 + 50 + 45=197 {in}^{2}$

6 0

3 years ago

Find all the zeros of the quadratic function.

earnstyle [38]

Answer x=-2,-6

The roots (zeros) are the
x
x
values where the graph intersects the x-axis. To find the roots (zeros), replace
y
y
with
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and solve for
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4 0

3 years ago

Suppose the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1

denis23 [38]

Given that <span>the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.

The probability of a normally distributed data between two values (a, b) is given by:

$P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma/\sqrt{n}} \right) \\ \\ =P(7.5\ \textless \ X\ \textless \ 8.5)=P\left(z\ \textless \ \frac{8.5-8.0}{1.1/\sqrt{6}} \right)-P\left(z\ \textless \ \frac{7.5-8.0}{1.1/\sqrt{6}} \right) \\ \\ =P(z\ \textless \ 1.113)-P(-1.113)=0.8672-0.1328=0.7344$ </span>

6 0

4 years ago

Help me pls i need help pls papi

Dmitry_Shevchenko [17]

Answer:3150

Step-by-step explanation:

70% of 10,000 is 7000. 45% of 7000 is 3150

4 0

3 years ago