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3 years ago

11

Monica regularly records her favorite television show. Each episode of the show requires .% of the total capacity of her video r

ecorder. Her recorder currently has 2% of its total memory free. If Monica records all five episodes this week, how much space will be left on her video recorder?

1 answer:

Andrew [12]3 years ago

8 0

Answer:

44.5%

Step-by-step explanation:

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URGENT 50 PTS AND BRAINLIEST FOR A CORRECT ANSWER THAT EXPLAINS WELL

snow_tiger [21]

Answer:

A. $(x+5)^2+(y-4)^2=16$

B. $(x-1)^2+(y-4)^2=2\\$

C. $\left(x-3\right)^2+\left(y-5\right)^2=9$

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this: $(x-h)^2+(y-k)^2=r^2\\$

Therefore, we know that our equation will be: $(x-h)^2+(y-k)^2=4^2=16$

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is $(x+5)^2+(y-4)^2=16$

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation: $d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }$

$d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}$

Because the radius is half of the diameter, $r=\sqrt{2}$

Therefore, we know that our equation will be: $(x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2$

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is $(x-1)^2+(y-4)^2=2$

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is $(x-3)^2+(y-5)^2=r^2\\$

To solve for r, we can substitute the point (0,5) into the equation.

$(0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9$

The answer is $(x-3)^2+(y-5)^2=9$

<em>Hope this helped!</em>

5 0

4 years ago

Find the slope of the like y = 1/8x -1<br><br> anser choices <br> -8/1 <br> 1/8<br> 1<br> -1

otez555 [7]

Answer:

The equation is not linear. So the slope does not exist. Not linear.

Maybe you wrote the equation wrong? If so, let me know and I'll tell you what the answer is.

6 0

4 years ago

What are the factors of 5^24 that are both square and cube. Leave answer In factorised index form

DaniilM [7]

Remember
$(x^a)^b=x^{ab}$
and

so maybe we want to find a and b such that $a^2=b^3=5^{24}$

24/2=12, so 12*2=24 so $5^{24}=5^{12*2}=(5^{12})^2$
24/3=8, so 8*3=24 so $5^{24}=5^{8*3}=(5^8)^3$
so
$(5^{12})^2=(5^8)^3=5^{24}$

I think those are in factored index form

8 0

3 years ago

The graph of g(x) is the result of translating the graph of f(x) (1\2)x = three units to the left. What is the equation of g(x)?

tangare [24]

The equation $f(x)= \frac{1}{2}x$ is plotted on graph below (red line)

Translating $f(x)$ three units to the left can be done by choosing any coordinates on $f(x)$ .

Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)

The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5

By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5

The equation of translated line is given
$g(x)=0.5(x-(-3))$
$g(x)=0.5(x+3)$
$g(x)=0.5x+1.5$

4 0

4 years ago

Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.

miv72 [106K]

The answer is -1/3

The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)

m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3

6 0

4 years ago