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2 years ago

10

Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose

into meters per second and explain how you set up the conversion factor.

1 answer:

Ksju [112]2 years ago

3 0

You could choose 100 kilometers per hour. Then it would be <span>27.77778 meters per second. </span>

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

2 years ago

Which is the graph of f(x) = 2(3)x?

Andreyy89

Answer:

The last graph.

Hope this helps.

6 0

3 years ago

Read 2 more answers

Evaluate the expression.<br><br> |3| + |-1|<br> A) -2<br><br> B) -4<br><br> C) 2<br><br> D) 4

Kisachek [45]

Answer:

D) 4

Step-by-step explanation:

$|3| + |-1| = 3 + 1 = 4 \\$

4 0

3 years ago

If pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’ B’ C’ D’ E’, what is the ordered pair of point

Naddik [55]

You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.

For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)

<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)

Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates

Hope this helps :)

5 0

2 years ago

What is 3/5(15k+10)=12k-9 in steps

Diano4ka-milaya [45]

<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em>   30=15k-45
<em>plus 45 to both sides</em>   75=15k
<em>divide both by 15</em> k=5

8 0

3 years ago