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3 years ago

Find the missing dimension of the prism

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

<em>X = 2 cm</em>

Volume = Bh= 8×5×1/2×X= 80

X = 80/20 = 4

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How much of a radioactive kind of calcium will be left after 10 days if the half-life is 5 days

Sophie [7]

Answer: 16 g

Step-by-step explanation:

We can solve this with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$

Where:

$A$ is the final amount of radioactive calcium

$A_{o}=64 g$ is the initial amount of radioactive calcium

$t=10 days$ is the time elapsed

$h=5 days$ is the half life of radioactive calcium

Solving with the given data:

$A=(64 g)2^{\frac{-10 days}{5 days}}$

$A=16 g$ This is the amount of radioactive calcium left

7 0

4 years ago

A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p

Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where n= Sample size.

$\mu$ = Population mean

$\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation.

As per given , we have $\mu=120$ (average infants contracted typhoid each month)

$\sigma=40$

n= 4 (No. of months)

$\overline{x}=90$

Then , the value of the appropriate test statistic will be :

$z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}$

$z=\dfrac{-30}{\dfrac{40}{2}}$

$z=\dfrac{-30}{20}$

$z=-1.5$

Hence, the value of the test statistic = -1.5

8 0

3 years ago

Find (5d2 +8d + 1) - (2d? + 3d - 1).<br> (542 +8d + 1) - (2d2 + 3d-1) =

Kruka [31]

Answer:

282

Step-by-step explanation:

3 0

4 years ago

Sdsajfljsajfkjskfjlasjlflasfjluporwupucnsc

Sphinxa [80]

Answer:

jddfhjgoihcsdf9dgfbdsertyjhgfdsg

Step-by-step explanation:

hope that helps:)

8 0

3 years ago

Please help!!! right now

Ymorist [56]

To find the rate of change, we must find the unit rate, or the amount of savings added per month. To find this, we can divide the amount changed from month 4 to month 1 from the amount of months, resulting in (415-160)/3=85 as our rate of change. This means that every month, the amount of money in Brent's savings account adds by 85. Next, the initial value is the starting value, and that is how much money Brent has at month 0. After one month of saving, Brent has 160 dollars. However, he must have added 85 dollars from his starting amount to get 160 dollars after one month of saving. Therefore, 160-85=75 as our starting amount. This means that Brent started with 75 dollars in his account.

Feel free to ask further questions, and Happy Holidays!

8 0

4 years ago