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3 years ago

8, 15, 14, 9, 1, 6, 3

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

5 0

The next number in the sequence will be 12.

Explanation

The given sequence is: 8, 15, 14, 9, 1, 6, 3

If we express these numbers in words, then we can see that the words are in alphabetical order, like....

Eight, Fifteen, Fourteen, Nine, One, Six, Three

There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'

So, the next number in the sequence will be 12.

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A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v

NeTakaya

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

$t = \frac{2vosin\alpha}{g}$

Solve for vo

$vo = \frac{tg}{2sin\alpha}$

Substitution

$vo = \frac{(2)((9.81)}{2sin 30}$

Simplification

$vo = \frac{19.62}{2(0.5)}$

$vo = \frac{19.62}{1}$

Result

vo = 19.62 m/s

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3 years ago

Help with formulas and explain

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4 years ago

A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

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Answer:

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