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3 years ago

5

I’m confused on this one

1 answer:

Colt1911 [192]3 years ago

3 0

Call M the midpoint. The coordinate of this point is given by....

M=(x1+x2 /2, y1+y2 /2)

So (3,7)=(x1+0 /2, y1+ -5 /2). or

3= x1/2. or x1=6 and

7=y1-5 /2. or 14=y1-5 or y1=19

B is at the point (6,19)

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Determine if the following relation is a function or not

Darya [45]

1 is not. 2 is. 3 is not. 4 is. 5 is. 6 is. 7 is not. 8 is.

7 0

3 years ago

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Minchanka [31]

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

7 0

3 years ago

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0

4 years ago

Read 2 more answers

Mr. I.C green wanted to plant a brand new yard. His yard was 17 yards by 8 yards. What was the area of his yard?

Free_Kalibri [48]

Answer:

17 x 8= 136 ft

Step-by-step explanation:

5 0

3 years ago

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

vovikov84 [41]

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = $\dfrac{9}{10}=0.9$

If we select 4 digits , The probability of getting no 0 = $(0.9)^4 =0.6561$

(By multiplication rule of independent events)

Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .

4 0

3 years ago