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3 years ago

Please help me ASAP I need it As soon as possible

Mathematics

1 answer:

Luda [366]3 years ago

7 0

Answer:

400

Step-by-step explanation:

Multiply the whole number by the percentage. The number must be a decimal.

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Find the sum of the finite geometric series -3+6-12+24+-48+96-192+384

hammer [34]

255 (hope this helped)

3 0

4 years ago

A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed t

solmaris [256]

Answer:

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

Step-by-step explanation:

A function F is called an antiderivative of f on an interval I if $F'(x) = f(x)$ for all x in I.

Recall that if the object has position function $s=f(t)$ , then the velocity function is $v(t)=s'(t)$ . This means that the position function is an antiderivative of the velocity function. Likewise, the acceleration function is $a(t)=v'(t)$ , so the velocity function is an antiderivative of the acceleration.

An object near the surface of the earth is subject to a gravitational force that produces a downward acceleration denoted by $g$ . For motion close to the ground we may assume that $g$ is constant, its value being about $9.8 \:{\frac{m}{s^2}}$ .

We know that the acceleration due to gravity is given by

$a(t)=-9.8$

and the antiderivative is velocity

$v(t)=\int a(t)\,dt\\v(t)=\int -9.8\,dt\\v(t)=-9.8t +C$

We know that the canister was dropped, so the initial velocity at t = 0 is zero, this fact let us know the value of C.

$v(0)=9.8(0)+C\\C=0$

The antiderivative of velocity is the position

$s(t)=\int v(t) \, dt\\s(t)=\int -9.8t \, dt\\s(t)=-4.9t^2+C$

To find the value of the constant C, we know that the height was 500 m at t = 0, this means $s(0)=500$

$500=-4.9(0)^2+C\\C=500$

$s(t)=-4.9t^2+500$

Using the fact that at the time of impact the height s(t) is zero we can compute the total time of the fall:

$s(t)=-4.9t^2+500=0\\\\-4.9t^2=-500\\\\t^2=\frac{5000}{49}\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\t=\sqrt{\frac{5000}{49}},\:t=-\sqrt{\frac{5000}{49}}$

A negative time does not make sense, so we only take as a possible solution

$t=\sqrt{\frac{5000}{49}}=\frac{50\sqrt{2}}{7}\approx 10.102$

Now the final velocity is

$v(\frac{50\sqrt{2}}{7})=-9.8(\frac{50\sqrt{2}}{7})\approx -98.995$

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

5 0

4 years ago

A box of tickets has an average of 420; the SD is 84. If we draw at random (with replacement) 50 times and compute the average o

disa [49]

Answer:

Average of the draws equals 420

Standard Error = 11.88

Step-by-step explanation:

Given

$\mu = 420$

$\sigma = 84$

$n =50$

Solving (a): The average of the draws

This implies that we calculate the sample mean

This is calculated as:

$\bar x = \mu$ --- Sample Mean = Population Mean

So, we have:

$\bar x = 420$

Solving (b): The standard error

This is calculated as:

$SE=\frac{\sigma}{\sqrt n}$

So, we have:

$SE=\frac{84}{\sqrt {50}}$

Using the calculator, we have:

$SE=11.88$

4 0

3 years ago

if you add four numbers together and then divide the sum by 4 you find the a.mean b. weighted average c. median d, mode

andreev551 [17]

The answer is a. mean. This is the same as the average. (The median is different. It is the number in the middle of all the numbers when they are arranged from smallest to largest. There is no summation or division required in order to determine it.)

6 0

3 years ago

Why is cereal is packaged in rectangular boxes?

dlinn [17]

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

4 0

2 years ago