If the pattern continues, how many tiles would be in the 62nd stage?

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4).

xxMikexx [17]

The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)

<h3>How to find coordinate points?</h3>

The coordinate of the points are given as:

A(-4, 8)

B(2, -4)

Ratio of partition is given as; 3:10

Now, the point at the given ratio is calculated from the formula;

C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]

Thus;

C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]

C = (-34/13, 68/13)

C = (-2.6, 5.2)

Read more about Coordinate Points at; brainly.com/question/17206319

#SPJ1

6 0

2 years ago

Element X decays radioactively with a half life of 6 minutes. If there are 790 grams of Element X, how long, to the nearest tent

frosja888 [35]

Answer:

It takes 27 minutes for the element to decay to 35 grams

Step-by-step explanation:

Given:

Initial amount = 790 grams

Final amount = 35 grams

Half life = 6 minutes

To find:

Time taken for the element to reduce into 35 grams = ?

Solutions

Time taken = $half life \times \frac{ log(\frac{ initial amount}{final amount})}{log(2)}$

On substituting the values given, Time taken

= $6 \times \frac{log(\frac{790}{35})}{log(2)}$

= $6 \times \frac{log(22.57)}{log(2)}$

= $6 \times 4.496$

= 26.97

= 27 minutes

7 0

2 years ago

Can y’all please help really fast

Nata [24]

It says The temperature doubled

It means the temperature has been doubled ,

if earlier it was t , then now its 2t

Now in the question it says the the temperature doubled

And now the temperature is 32 degrees ,

so we double it to get the new temperature

and the double of 32 degrees is 64 degrees

So

The value of the expression when t = 32 degrees is 64 degrees

5 0

3 years ago

Jason and Jill or two students in mr. White's math class. On the last 5 quizzes Jason scored an 80 90 95 85 and 70. Jill scored

Mrac [35]

Jason's scores : 80 90 95 85 70 and

Jill's score : 70 75 90 100 95.

Mean of Jason's scores = $\frac{80 + 90 + 95 + 85 + 70}{5}=\frac{420}{5}=84.$

Mean of Jill's scores = $\frac{70+75+90+100+95}{5}=\frac{430}{5}=86$

Now, in order to find the mean absolute deviation, need to find the difference of each score from means.

<u>Mean absolute deviation for Jason's scores.</u>

|84-80| = 4

|84-90| = 6

|84-95| = 9

|84-85| = 1

|84-70|= 14

$\frac{4+6+9+1+14}{5}=\frac{34}{5}=6.8$

<u>Mean absolute deviation for Jill's scores</u>

|86-70| = 16

|86-75| = 11

|86-90| = 4

|86-100| = 14

|86-95|= 9

$\frac{16+11+4+14+9}{5}=\frac{54}{5}=10.8$

Jill got average quiz score 86 and Jason got 84.

Therefore, Jill got better quiz average.

Also, the mean absolute deviation for Jason scores is less that is 6.8 than 10.8.

Therefore, Jason got more consistent grades.

8 0

3 years ago

Alexa is saving to buy a new bike that costs $265. So far she has saved $45. If she is able to save $11 each week, how many week

DENIUS [597]

Answer:

nose

Step-by-step explanation:

3 0

2 years ago

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