Mathematics, 26.02.2021 02:40, cam1976

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answered: savageyvens

1. 12 km/hr

2. a - 36 b - 40%

3. a - 8 vertices b - 27ft^3

Step-by-step explanation:

1. If Pedro was going 96km/8hrs, then division is all that is needed in order to determine how many kilometers per 1 hour that Pedro is going.

Just divide 96/8

2. First understand that three-fifths is like saying 3/5.

a. When converting percents 3/5 is equal to 60%

Therefore in a when asking how many of the baker's cookies were chocolate it is 60% of them. So you take 60% move the decimal to the left 2 spaces to make .60 and multiply that by 60

.60 x 60

That gives you 36.

b. So if we know that 3/5 is 60% then we know that the remaining percent is 2/5 or 40%.

Therefore that is the remaining cookies that were not chocolate in the batch

3. First understand what a vertice is

a. Vertice - A point or corner where 2 or more line seqments meet.

when looking at the cube it is representative that there are 8 because each corner has multiple sides connecting to each other

therefore just count the corners in this situation.

b. the equation for volume is:

length x width x height

Each side is equal to 3

Therefore to solve the equation it is:

3 x 3 x 3

= 27

then make sure to add the ft^3 because that is always required in any measurement of a 3d Shape.

answered: Guest

(a) common ratio in the given sequence is, 3

(b) $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

$a_n = a_1r^{n-1}$ , where r is the common ratio between the successive terms and $a_1$ is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term $(a_1) = 6$

then;

$a_n = a_ 1 \cdot r^{n-1}$

$a_{20} = 6 \cdot 3^{20-1}$

simplify:

$a_{20} = 6.973568802 \times 10^9$

therefore, $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

answered: Guest

in my opinion , its hazel

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