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2 years ago

What is the solution of the equation 3x + 5 + 2x - 12

Mathematics

2 answers:

ss7ja [257]2 years ago

5 0

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5

Papessa [141]2 years ago

3 0

3x + 5 + 2x -12 = 5x -7 = 5/7

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Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago

Sharon purchased a used car for $24,600. The car depreciates exponentially by 8% per

Tju [1.3M]

Answer:

The value of car after 5 years of exponentially depreciation is $16,213.36

Step-by-step explanation:

The initial amount of the car = i = $24,600

The depreciates rate of interest applied = r = 8%

Let The value of car after n years = A

The number of years = n = 5 years

Now,According to question

The value of car after n years = initial price of car × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, The value of car after 5 years = i × $(1-\dfrac{\textrm r}{100})^{\textrm n}$

Or, $A = $24,600 × $(1-\dfrac{\textrm 8}{100})^{\textrm 5}$

Or, $A = $24,600 × $(0.92)^{5}$

Or, $A = $24,600 × 0.65908

Or, $A = $16,213.36

So, The value of car after 5 years = A = $16,213.36

Hence , The value of car after 5 years of exponentially depreciation is $16,213.36 . Answer

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3 years ago

Minus A plus 6 a ncert solution class 9

lianna [129]

Answer:

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3 years ago

PLEASE HELPP ASAP ITS DUE IN 10 min AND I AM COMPLETELY STUCKK

likoan [24]

Answer:

Step-by-step explanation:

Ratio of cars to total:

32:80

so we can make another ratio with x

x:100

now make them fractions and cross-multiply

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32(100) = 80x

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x = 40

8 0

2 years ago

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What are the volume of the prisms below

Sidana [21]

<span>Area of triangle times length of prism = (24)(15) = you can do this arithmetic.</span>

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3 years ago