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CaHeK987 [17]
3 years ago
9

Write the expression as the sin or cosine of an angle. sin pi/3 cos pi/7 - sin pi/7 cos pi/3

Mathematics
1 answer:
postnew [5]3 years ago
5 0

sin(4π21). Explanation: Notice that this fits the form of the sine subtraction formula: sin(A−B)=sin(A)cos(B)−cos(A)sin(B).

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The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
Resource managers need to determine the number of years after which purple loosestrife will cover more than 850 acres of the wet
AnnyKZ [126]

Answer:

500(1.2)^t>850

Step-by-step explanation:

PLATO!!

6 0
2 years ago
Read 2 more answers
Evaluate a+b when a=5/6 and b=3 1/4
NemiM [27]

Answer:

4 1/12

Step-by-step explanation:

a = 5/6        b = 3 1/4 = 13/4

To add 5/6 + 13/4, we have to make the denominators the same:

20/24 + 78/24 = 98/24
To make it back to a mixed fraction:

4 2/24
4 1/12

4 0
3 years ago
Read 2 more answers
A garden table and a bench cost $689 combined. The garden table costs $39 more than the bench. What is the cost of the bench?
Wittaler [7]
Shusneusnsidjdjdhufnjfjdjdidj
5 0
3 years ago
Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the s
sergeinik [125]

The quadratic equation that would model this scenario is

x^{2} = 2x(x-16)

Let us take the side of the square = x

Area of the square = x²

Length of the rectangular garden = 2x

Width of the rectangular garden = x-16

So, the area of the new vegetable garden = length*width

Area of the new or rectangular vegetable garden = 2x(x-16)

<h3>What is a quadratic equation?</h3>

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by ax^2+bx+ccoefficient x^{2}non-zero.

Since it is given that

Area of square garden = area of the rectangular garden

x^{2} = 2x(x-16)

Thus, the quadratic equation that would model this scenario is

x^{2} = 2x(x-16)

To get more about quadratic equations refer to:

brainly.com/question/1214333

5 0
2 years ago
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