Given x = 3 cos Q and y =2 tan Q, find sin Q in terms of x and y. Hence or otherwise , show that 4x² + x²y² = 36 .​

Answer:

The formula for an arithmetic series is shown below, where n = 1, 2, 3 ... f(n + 1) = f(n) + 8 If f(1) = 5, what are the fourth, fifth, and sixth terms

Step-by-step explanation:

Answer:

£11564.54

Step-by-step explanation:

Answer:

B

This is the confirm answer i did this in my exam today

The value of [r] will be 5 units.

Given is a line segment as shown in the image.

We can write the equation as -

(4r - 3) + (r + 7) = 29

4r + r - 3 + 7 = 29

5r + 4 = 29

5r = 25

r = 5

Therefore, the value of [r] will be 5 units.

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Answer:

12

Step-by-step explanation:

I will explain it's because if 25/100 percent is fruit punch and if 3 of them are fruit punch so it will be 12 juices that means 3 x4

Answer:

x=log2(131)

Step-by-step explanation:

3(2^x-3)=384

x=7.03342

i don't know this question but i have made it by photomath app.

you can get it from playstore

Answer:

2x+6

Step-by-step explanation:

4y=8x+24

y=2x+6

Answer:

a) The equation of the tangent to the circle

       x + √3y = 2

b)       [tex]a = \frac{-1}{\sqrt{3} } , b = \frac{2}{\sqrt{3} }[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the circle x² +y² =1

Tangent equation of the circle x² +y² =a²  is   xx₁ +yy₁ - a² =0

The tangent equation of the given circle

   xx₁ +yy₁ - 1² =0

This equation passes through the point ([tex](\frac{1}{2} , \frac{\sqrt{3} }{2} )[/tex]

       [tex]x(\frac{1}{2} ) +y(\frac{\sqrt{3} }{2} ) =1[/tex]

 ⇒   x + √3y = 2

The equation of the tangent to the circle

       x + √3y = 2

Step(ii):-

Slope - intercept form    y = ax +b

                                   √3y = - x + 2

                                    [tex]y = \frac{-x}{\sqrt{3} } + \frac{2}{\sqrt{3} }[/tex]

where  

           [tex]a = \frac{-1}{\sqrt{3} } and b = \frac{2}{\sqrt{3} }[/tex]

Answer:

The 12th term is 38

Step-by-step explanation:

Step one:

given the sequence 5, 8, 11, 14, 17, ...

We are required to find the nth term

the formula to find the nth term is given as

Tn = a1 + (n - 1 ) d

a1= the first term

n= the number of terms

d= the common difference

d = 8-5= 3 or 11-8= 3

Step two:

Now say we want to find the 12th term of the sequence n=12

substitute

T12= 5+(12-1)3

T12= 5+(11)3

T12= 5+33

T12= 38

The above formula is used to find the general (or nth) term of an arithmetic sequence.

Therefore, option A will result in the least amount owed after 5 years.

Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.

Here,

To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.

Option A: 2 1/4% compounded quarterly (every 3 months)

The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:

A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]

= $5,827.05

Option B: 3% compounded every 4 months

The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:

(1+0.03/3)³ - 1 = 0.0304 or 3.04%

Using the formula with these values, we get:

A = 5000(1+0.0304)⁵

= $6,079.28

Option C: 4 1/2% compounded semi-annually

The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:

A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]

= $6,200.92

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Answer:

The answer is below

Step-by-step explanation:

The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.

Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.

Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:

f(x) = 3x + 20 for 0 < x < 4

But for more than four lines, the charges is given as:

f(x) = 12 + 20 = 32         4 < x < ∞

Therefore, the domain and range of the function is:

Domain = (0, ∞)

Range = (20, 32}

Answer:45

Step-by-step explanation:

150 x .30 = 45.00

Answer:

[tex]The \: Value \: of \: x \: is \: \boxed{ 6 \: units}[/tex]

Answer:

1/12

Step-by-step explanation:

you have 1/6 chance at drawing it once (one yellow marble, six total), so 1/12 to draw it twice.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow.

We have to find the probability of picking a yellow marble, returning it to the box, and then picking a blue marble.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble is obtained as,

=1/6 × 1/6

=1/36

Thus the probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

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Answer:

1

Step-by-step explanation:

Because 6 x 4 is 24 and 25 - 24 is 1

Answer:

4.50

Step-by-step explanation:

thats really easy bro just divide $13.50 by 3 and you get your answer

Answer:

1 =$4.50

Step-by-step explanation:

since all 3 cost $13.50 you divide 13.50 by 3 to find your total

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

AB and BC must add up to AC

mAB + mBC = mAC

(2x - 4) + (3x + 2) = 48

Step 2: Solve for x

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

[tex]I=Prt[/tex]

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

[tex]I=600(0.0004305)(29)=7.4907[/tex]

So, the interest charged is about $7.49.

So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

→ I=Prt

Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).

Our initial amount P is $600.

Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our t is 29.

Hence, our interest is:

→ I=600(0.0004305)(29)=7.4907

Answer: (x+2)(x-1)(x-2)

Step-by-step explanation: I am sure that it is right.

Answer:

C. (x+2)(x-1)(x-2)

Step-by-step explanation:

Answer:

Give more information then I can help you

Step-by-step explanation:

Answer:

Trail mix a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A = $8 per pound

B = $8.50 per pound

C = $9 per pound

Answer:

1/18

Step-by-step explanation:

1/2 divided by 9 = 1/2 * 1/9 = 1/18

Answer:

I need to see the equation

Answer:

26.2 units

Step-by-step explanation:

We are given the points/vertices

A(6, 3),

B(6, - 2) , and

C(- 4, 3)

Step two

Let us find the distances between the given points/vertices

A-B =A(6, 3) to B(6,-2)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6-6)²+(-2-3)²)

d=√(-2-3)²)

d=√(-5)²)

d=5 units

B-C=B(6, - 2) to C(-4, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((-4-6)²+(3+2)²)

d=√(-10)²+(5)²)

d=√100+25

d=√125

d=11.2 units

C-A=C(-4, 3) to A(6, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6+4)²+(3-3)²)

d=√(10)²

d=√100

d=10 units

Hence the perimeter is 5+11.2+10

P=26.2 units

Answer:

1/225 x (5x+3y) square