8 in. 4 in. 13 in. Find the area of a trapezoid

The half price of helium-5 is 7.6 X 10 to the power of negative 22 seconds and the half-life helium -9 is 7 x 10 to the power of

Digiron [165]

Answer:

Approximately 9.211 times

Step-by-step explanation:

Given

$x = 7.6 * 10^{-22}s$ --- half life of helium-5

$y = 7 * 10^{-21}s$ --- half life of helium-9

Required

How many times greater is y than x

To do this, we simply divide y by x

$\frac{y}{x} = \frac{7 * 10^{-21}s}{7.6 * 10^{-22}s}$

$\frac{y}{x} = \frac{7 * 10^{-21}}{7.6 * 10^{-22}}$

Apply law of indices

$\frac{y}{x} = \frac{7 * 10^{-21--22}}{7.6}$

$\frac{y}{x} = \frac{7 * 10^{-21+22}}{7.6}$

$\frac{y}{x} = \frac{7 * 10}{7.6}$

$\frac{y}{x} = \frac{70}{7.6}$

$\frac{y}{x} = 9.211$

5 0

3 years ago

Write an inequality for each situation.

pickupchik [31]

Answer:

A. 56-6m<20

B. 2.95b+28<450

13. Less than, greater than, going over or not going over.

Step-by-step explanation:

A. The answer to the first question can be simple. If she can scan 6 photographs per minute, then we would write the inequality 56-6m<20, since we are subtracting 6 from 56 every minute, we would write 6 per minute as 6m, and subtract that from 56. Lastly, since it says less than, we need to put the less than symbol, the mouth facing towards the 20 as the greater number.

B. If she has spent 28, that means that we put -28 on the equation as a constant. Then, we put the price times the number of batteries she bought, or 2.95b, and put a less than symbol, since we want to spend less than the 450 gift card. So the equation would be 2.95b+28<450

13. Key words to indicate inequalities can be less than, greater than, without going over, going over.

Hope this helps! :D

5 0

4 years ago

30000mm how much did it grow in a meter

Serggg [28]

30000mm÷10=3000cm
3000cm÷100=30m
Answer: 30m

7 0

3 years ago

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

3 0

3 years ago

alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. which expression represents the total amount that alexi

Alexeev081 [22]

He is leaving 20% tip of the bill of $58

20% extra

So total amount = 100% + 20% = 120%

120% of 58

(120/100) * 58

1.2 * 58

= 69.6

So total amount Alexi needs to pay = $69.60

8 0

3 years ago

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