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3 years ago

Ryan purchase five packs of them are 3 to 6 in each pack. How many sticks of gum does he have?

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Between 15-30 pieces

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Verify cot x sec^4x=cotx +2tanx +tan^3x

Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

Verifying from left, we have

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { \tan}^{2} x )^{2}$

Expand the perfect square in the right:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { 2\tan}^{2} x + { \tan}^{4} x)$

We expand to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + \cot(x){ 2\tan}^{2} x +\cot(x) { \tan}^{4} x$

We simplify to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{2} x}{{ \cos}^{2} x} +\frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{4} x}{{ \cos}^{4} x}$

Cancel common factors:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{{ \sin}x}{{ \cos}x} +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}$

This finally gives:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

3 0

3 years ago

Jerritt wants to buy a car but it costs

o-na [289]

Answer:

47 weeks

Step-by-step explanation:

you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.

5 0

3 years ago

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off

kari74 [83]

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

6 0

2 years ago

Which ordered pairs are in the solution set of the system of linear inequalities? y > Negative one-thirdx + 2 y < 2x + 3

Natasha2012 [34]

Answer:

Option ( A ) is the answer at (2, 2), (3, 1), (4, 2)

Step-by-step explanation:

3 0

3 years ago

Let f(x)=-2-7 and g(x)= -4x+6. Find (f*g)(-5)

Masja [62]

If (-5) = x then the anwser should be
-234

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3 years ago