All categories

2 years ago

Give an equation which describes the intersection of this sphere with the plane z=0z=0.

1 answer:

4 0

C=(x0,y0,z0)C=(x0,y0,z0) and radius rr.

(x−x0)2+(y−y0)2+(z−z0)2=r2(x−x0)2+(y−y0)2+(z−z0)2=r2

You might be interested in

Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in year

Mashutka [201]

Answer:

Time = approximately mid 2012
Oil import rate = 3600 barrels

Step-by-step explanation:

<h3>Unclear part of the question</h3>

I(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13)
According to the model, approximately when were oil imports to the country greatest? t = ?

<h3>Solution</h3>

Given the quadratic function

The vertex of a quadratic function is found by a formula: x = -b/2a

As per given function:

b = 800, a = -35

Then

t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285

Rounded to two significant figures, the greatest oil import rate was:

3600 barrels

7 0

2 years ago

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,

Elodia [21]

Answer:

29 minutes

Step-by-step explanation:

Given

$Total = \$43.25$

$Entrance\ Fee = \$7$

$Per\ Minute = \$1.25$

Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

$Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t$

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

$43.25 = 7 + 1.25 * t$

$43.25 = 7 + 1.25t$

Solving further to get the value of t, we have:

$1.25t = 43.25 - 7$

$1.25t = 36.25$

$t = 36.25/1.25$

$t = 29$

3 0

2 years ago

Read 2 more answers

categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.

soldier1979 [14.2K]

It is exponential growth

5 0

2 years ago

Read 2 more answers

For quality control purposes, a company that manufactures sim chips for cell/smart phones routinely takes samples from its pro

ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So $\pi = \frac{3}{1000} = 0.003$ .

What is the probability that a sample this size (1000 chips) has 2 imperfections?

The sample has 1000 chips, wo $n = 1000$

We want P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242$

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0

2 years ago

Brianna bought a total of 8 notebooks and got 16 free pens. What's the unit rate.

tiny-mole [99]

The unit rate is 2 pens/1 notebook

4 0

2 years ago

Read 2 more answers