Which graph represents 3x2 + 3y2 - 48x + 60y + 372 = 0?

Answer:

The sinusoidal function that model the depth in terms of time, 'x', is presented here as follows;

f(x) = 39·sin((π/3)·x - π) + 5

Step-by-step explanation:

A sinusoidal function is given by the general function as follows;

y = A·sin(B·x + C) + D

Where;

A = The amplitude = ([tex]y_{max}[/tex] - [tex]y_{min}[/tex])/2 = (The high tide - The low tide)/2 = (83 ft. - 5 ft.)/2 = 39 ft.

The period, T = 2·π/b = 6 hours

∴ B = 2·π/T = 2·π/6 = π/3

D = The vertical shift = The low tide = 5 ft.

The horizontal phase shift, 'C', is given as follows;

3 hrs = -C/B = -C/(π/(3 hr))

C = 3 hrs × -(π/(3 hr)) = -π

∴ C = -π

y = 39·sin((π/3)·x - π) + 5

The sinusoidal function that model the depth in terms of time, 'x', is therefore given as follows;

f(x) = 39·sin((π/3)·x - π) + 5

Rs. 10824.32.

Step-by-step explanation:

10000; Rate = 2% per half-year; Time = 2 years = 4 half-years. Amount == Rs. 10824.32.

Answer:

Step-by-step explanation:

10000×2×4=80000

80000÷100

=800

Hope it helped pls mark me as brainliest

Answer:

-3/4 and y= 3/7

Step-by-step explanation:

Answer:

An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.

Step-by-step explanation:

Given,

first term(a)=17

common difference (d)=t2-t1

=12-17

=-5

nth term of the arithmetic sequence = a+n×d

=17+n×-5

=17-5n

Answer:

x = 69 degrees

Step-by-step explanation:

x = 360 - 168 - 123

x = 69 degrees

Answer:

x = 69

168 + 123 + x = 360 (Sum of angle at a point)

291 + x = 360

x = 360 - 291

x = 69

Answer: h=6

Step-by-step explanation:

The profit on each television as a percentage of its cost price is 50%.

Given that,

Now the profit percentage on each television of the cost price is:

[tex]= \frac{Sale\ price - cost\ price}{Cost\ price} \\\\= \frac{\$960 - \$640}{\$640}\\\\= \frac{\$320}{\$640}[/tex]

= 50%

Therefore we can conclude that the profit on each television as a percentage of its cost price is 50%.

Learn more about the profit here: brainly.com/question/9281343

Answer:

c. 263 ml

Step-by-step explanation:

have a nice day

cya

Answer:

8x + 12 = 5x -21

8x-5x=-12-21

3x=-33

x=-33/3

x=-11

Hope it helps

Answer:

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Step-by-step explanation:

Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:

[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)

[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)

[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)

Where:

[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]

[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]

[tex]\overrightarrow{AB} = (7,-8)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are, respectively:

[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]

[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]

[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]

[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Answer:

8%

Step-by-step explanation:

100% = 200apples

x = 16 apples

1600% apples = 200 apples x

200 apples. 200 apples

x = 8%

Answer:

8%

Step-by-step explanation:

200 x 0.08 = 16

Answer:

what??

Step-by-step explanation:

loss = 279

lose petcent = 15%

Answer:

I guess I can!!

Step-by-step explanation:

Answer:

Here is me answer

Step-by-step explanation:

Answer:

x1 = -1,x2 =3

Step-by-step explanation:

Answer:

540

Step-by-step explanation:

If you have five sides on a polygon, all the angles will add up to 540°

Answer:

-69q+74

Step-by-step explanation:

Distribute:

80-48q-21q-6

Simplify:

74-69q

Answer:

73.131

Step-by-step explanation:

T=  

s(s−a)(s−b)(s−c)

​  

T=  

20.9(20.9−15)(20.9−17)(20.9−9.81)

​  

T=  

5348.14

​  

=73.13

Answer:

128

Step-by-step explanation:

15 × 17 ÷ 2 = 127.5

Round to 128

Answer:

4

Step-by-step explanation:

x>4

it would be that symbol before the 36 but I don't have it

Step-by-step explanation:

To work out the scale factor, divide one of the sides from the larger shape from the smaller shape so:

15/6 = 2.5

So your scale factor would be 2.5

And to check this, multiply 2.5 by 6 and u should get 15, so you know it is correct! :)

Answer: The temperature on the 5th day is -14 degrees.

Step-by-step explanation:

If we have a set of N values:

{x₁, x₂, x₃, ..., xₙ}

The mean value of this set is:

M = (x₁ + x₂ + ... + xₙ)/N

Now, we know that the mean temperature for the first 4 days of January is -4°

Then if the temperatures for the first four days are {T₁, T₂, T₃, T₄}

We have:

M₄ = (T₁ + T₂ + T₃ + T₄)/4 = -4°

Where we can replace (T₁ + T₂ + T₃ + T₄) by K

Then:

K/4 = -4°

K = -4°*4 = -16°

Is the sum of the temperatures for the first four days.

Now when we consider the first 5 days, the mean is -6°, and let's define T₅ as the temperature of the fifth day, then we get:

M₅ = -6° = (T₁ + T₂ + T₃ + T₄ + T₅)/5

And we know that:

(T₁ + T₂ + T₃ + T₄) = K = -16°

We can replace that in the above equation to get:

M₅ = (-16° + T₅)/5 = -6°

Now we can solve this for T₅

(-16° + T₅) = 5*(-6°) = -30°

T₅ = -30° + 16° = -14°

T₅ = -14°

The temperature on the 5th day is -14 degrees.

Answer: I believe the answer is B

Step-by-step explanation:

Usually if there is a negative with regards to balance it represents debt.

Answer:

2

Step-by-step explanation:

If the tenth place has a number under 5, round down. (2)

If the tenth place is 5 or more, roundup. (3)

The solution for the number 2.42 rounded to the nearest tenth is 2.4

Used the concept of rounding numbers which states that,

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest tenth,

The number to round is 2.42

Clearly, the number 2 placed in the hundredth place is less than 5, so round the number down.

That is 2.42 ≈ 2.4

Therefore, the solution is 2.4

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ6

The complete question is,

What is 2.42 rounded to the nearest tenth?

Answer:

perimeter = 30 ft

Step-by-step explanation:

13 + 5 + 12 = perimeter = 30 ft

Answer:

awit wala akong maintindihan. srna agad

Answer:

0 is your answer

Step-by-step explanation:

[tex] { - 8}x3 + {5x}^2 - 3x + 1[/tex]

this is the standard form of the given algebraic expression