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2 years ago

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 3 + 3 + 9 + ... + 81

Mathematics

2 answers:

Blizzard [7]2 years ago

6 0

$\displaystyle
\sum\limits_{n=1}^{16} 6n-15
$

olga nikolaevna [1]2 years ago

4 0

Answer: 15 summation notation n=0 (-9+6n)

Step-by-step explanation:

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Two cars start towards each other from points 200 miles apart .One car travels at 40 miles per hours and the other travel at 35

Vanyuwa [196]

Recall: distance = rate times time.

To determine how far apart the two cars will be after four hours of travel, subtract the sum of the distances traveled from 200 mi:

Distance apart after four hours = 200 mi - (40 mph)(4 hrs) - (35 mph)(4 hrs)

= 200 mi - 160 mi - 140 mi = -100 mi

The wording of your question implies that the cars will not yet have met after four hours of travel. This negative result is absurd. Please ensure that you have copied down the problem completely and accurately.

5 0

2 years ago

A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel

Serjik [45]

The answer is B. 5P5 x 20P15.

This is because to make the second grade students to sit in the first row we have 5 seats and 5 students so we will permute the 5 students to those 5 seats. So 5P5.

Now we are left with 20 seats and 15 first grade students so we can simply permute those 15 students into those 20 seats. So 20P15.

Finally using the counting rule principle we will multiply both of these so 5P5 x 20P15.

7 0

2 years ago

Read 2 more answers

There are three choices of jellybeans - grape ,cherry and orange. if the probability of getting a grape is 3/10 and the probabil

muminat

When looking at probabilities, two ideas are always true.

1) Any probability is more than 0.

2) The sum of all the probabilites is 1.

Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then

3/10 + 1/5 + O = 1.

3/10 + 2/10 + O = 1

5/10 + O = 1

O = 5/10

Thus, the probability of an orange jelly bean is 5/10 = 1/2.

6 0

2 years ago

56. Mikayla is filling a glass sphere with water.

kirill [66]

Answer:

The minimum amount of water to fill the sphere is $904.32\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=12/2=6\ in$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(6)^{3}$

$V=904.32\ in^{3}$

8 0

2 years ago

What are the possible numbers of positive real, negative real, and complex zeros of f(x) = −7x4 − 12x3 + 9x2 − 17x + 3?

madreJ [45]

Now, recall Descartes Rule of Signs. Check the picture below.

the +x part, gives us the positive Real zeros, and it depends on how many times the sign changes from term to term, notice in the picture, it changed 3 times, so the positive real ones are 3, or 3-2, namely 1, so 3 or 1.

the negative real ones, come from using -x as the argument on f(x), and as you can see in the picture, there was only 1 sign change, meaning the negative real zeros are only 1.

since, based on the fundamental theorem of algebra the polynomial has 4 roots at most then,

3 positive real ones, and 1 negative real one, no complex ones

or

1 positive real one, and 1 negative real one, and 2 complex ones

bear in mind that complex always come in pairs, never alone.

8 0

2 years ago