MARKING BRAINLIEST !! please help asap !

I need answers asap... please

aleksandrvk [35]

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

$\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}$

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × $\frac{sinx}{cosx}$ = sinx

$\frac{sin^2x(secx+cosecx)}{sinx}$

= sinx( $\frac{1}{cosx}$ + $\frac{1}{sinx}$ )

= $\frac{sinx}{cosx}$ + $\frac{sinx}{sinx}$

= tanx + 1 = right side ⇒ verified

3 0

3 years ago

Which one of the following functions is an exponential decay function?

stepan [7]

Answer:

D

Step-by-step explanation:

Its decaying since its being multiplied by by a number less than 1

6 0

3 years ago

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A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up

disa [49]

Answer:

Therefore the maximum number of video games that we can purchase

is 6.

Step-by-step explanation:

i) Let us say the number of video game system we can buy that costs $185

is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

number of game systems that can be bought is 1.

Therefore x = 1.

Therefore the equation we can write to equate the number of video

games and video game system is given by $185 + $14.95 × y ≤ 280

Therefore 14.95 × y ≤ 280 - 185 = 95

Therefore y ≤ 95 ÷ 14.95 = 6.355

Therefore the maximum number of video games that we can purchase

is 6.

5 0

3 years ago

Is 3/4y=9 true or false

amm1812

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

3 / 4 y = 9

Step 1: Multiply both sides by 4/3.

(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )

y = 12

Answer:

y = 12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Insert 12 to the y value:

3 / 4 ( 12 ) = 9

9 = 9

True

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3 0

3 years ago

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Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off

GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.

Monthly compound interest rate = P(1+r/n)^nxt

n=12 (number of months in a year)

t=1 (number of years)

Annually compound interest rate = P(1+r/n)^nxt

n=1 (because it is for 1 year only)

t=1 (number of years=1)

Step 2 : Lets assume that P is $100 in both banks and time is 1 year.

Step 3 : Lets substitute the values to find out which one is better.

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

!!

8 0

3 years ago

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