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4 years ago

Divide. Write in simplest form.

2 answers:

8 0

Well, this can be interpreted as 1/10 ÷ 6/19
Whenever you are dividing fractions, you have to change the division sign to a multiplication sign and turn the fraction on the right upside down. By this, i mean;
1/10 × 19/6
That will be;
1x19/10x6
19/60. So your answer is 19/60. And it is already in it's simplest form because nothing else can divide the two numbers. Hope i helped. Have a nice day. If you have any more problems on this, let me know and i will be glad to help.

alisha [4.7K]4 years ago

6 0

the answer is A 19/60

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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

Can you pleas help me solve this assignment?

Iteru [2.4K]

The correct answer for the question that is being presented above is this one: "1,903.73."

Solution:
(1) Multiply the percent favored to the Number surveyed
0.60 * 2700 = 1,620
0.55 * 1900 = 1,045
0.40 * 1000 = 400

So the total is 3,065

(2) Get the weighted mean:
Add the total percent favored = 0.66 + 0.55 + 0.41 = 1.61
Weighted mean = 3,065 / 1.61 = 1,903.73

6 0

3 years ago

What does it mean for a variable to have coefficients that are equal but opposite

barxatty [35]

A coefficient goes before a variable and is a constant. When the coefficients are equal but opposite it means you have an even function.

5 0

3 years ago

Which single transformation will have the same effect on the figure?

olganol [36]

Answer:

D. translation described by (x, y) → (x, y-6)

Step-by-step explanation:

The triangle stays in the same orientation just in a diffrent spot on the graph, that spot being 6 units down from where it starts.

5 0

2 years ago

Solve this equation. Does this equation have one solution, no solution, or infinitely many solution. use the drop down menus to

WINSTONCH [101]

Answer: no solution

Step-by-step explanation:

24x + 72 = 24x +12

-24x -24x

———————————

72=12

72 doesn’t equal 12 so the answer is no solution

3 0

4 years ago

Read 2 more answers