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4 years ago

A meteor crater is 3000 feet in diameter. Approximate the distance around the crater use 3.14 for pi

1 answer:

8 0

The distance around the crater is the circumference.

The formula for circumference is pi x diameter.

C= pi x d
C= 3.14 x 3000
C= 9420 feet

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Can someone just explain to me how to use distributive properties with exponents? Just any example would be fine

denis-greek [22]

2x(x - 5) + 3(x - 5) (rewriting expression)
2x(x) - 2x(5) + 3(x) - 3(5) (applying distributive property)
2x^2 - 10x + 3x - 15 (simplifying)
2x^2 - 7x - 15 (combining like terms)

I found this as an example from research. I do hope this helps. I have trouble in the same subject or I used to anyway. I hope this is what you were looking for. :)

3 0

3 years ago

Find a unit vector orthogonal to the plane containing the points A= 1,0,0 , B= 3,−1,−3 , and C= 1,3,−2 .

zysi [14]

Answer:

unit normal vector n will be n=(a,b,c) = (4/√171,11/√171,6/√171)

Step-by-step explanation:

There are several ways to solve this problem

1) build 2 vectors AB and BC such that the vectorial product ABxBC is the orthogonal vector to the plane , then find unit vector

2) since the 3 points belongs to the plane solve a linear system of 4 equation with 4 variables

for the second solution , the equation of the plane with normal vector n=(a,b,c) and containing the point (x₀,y₀,z₀) is

a*(x-x₀)+b*(y-y₀)+c*(z-z₀) =0

and

a²+b²+c² = 1 (unit vector)

then choosing A=(x₀,y₀,z₀)=(1,0,0)

a*(x-1)+b*(y-0)+c*(z-0) =0

for B

a*(3-1)+b*(-1-0)+c*(-3-0) =0

1) 2*a - b - 3*c =0

for C

a*(1-1)+b*(3-0)+c*(-2-0) =0

2) 3*b - 2*c=0 → b= 2/3*c

replacing in 1)

2*a - 2/3*c - 3*c =0

2*a-11/3*c=0 → a=11/6*c

thus

a²+b²+c² = 1

(11/6*c)²+(2/3*c)²+c² = 1

(121/36+4/9+1)*c² = 1

171/36*c²=1 → c= 6/√171

therefore

a=11/6*c = 11/6*6/√171= 11/√171

b=2/3*c= 2/3*6/√171= 4/√171

then the unit normal vector n will be

n=(a,b,c) = (4/√171,11/√171,6/√171)

5 0

4 years ago

Question 4 (1 point)

natulia [17]

The answer is A I think

7 0

3 years ago

Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

3 years ago

only 93% of the airplane parts being examined pass inspection. what is the probability that the next 5 parts examined will all p

DedPeter [7]

Answer:

Question 4 pts Only 93% of the airplane parts being examined pass Inspection: What is the probabllity that the next 5 parts examined will all pass inspection? (Write your probability a5 decimal rounded to the nearest thousandth or third decimal place):

Step-by-step explanation:

in order for us to find this probability here. What we're going to need to do is first ask ourselves if we were to just randomly select five parts, does one passing or felling affect the next one passing your fellow. And it really wouldn't um because one passing doesn't really say the next word should pass. And so because of that we know that this is going to be an independent event and if we have an independent event that's just really going to be where we multiply the probabilities of each live, it's occurring by themselves. So in this case it's just going to be the probability of one of them passing times 0.3 times the probability of the second one passing times. The probability of the third passing times. The fourth passing At times the 5th passing For just 0.93 Raised to the 5th power. So this is going to be the exact answer but they want it to three decimal places Which is going to be 0.6 956. So we round to three decimal so we have six and then we have five. So we would round it up To about 6.96. So this is going to be our probability or if you want you can change this into a decimal of 69.6%. But normally we would receive it as this decimal here. So either of these um would be good answers for what we have here

6 0

3 years ago