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laiz [17]
3 years ago
5

Sally initially has 4 hours of pop music and 3 hours of classical music in her collection. Every month onwards, the hours of pop

music in her collection is 8% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months
Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

Answer:

4+ 3. 1.08^{x}

Step-by-step explanation:


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What is the slope of the line shown below?<br> y=1/3x-3
inysia [295]

Answer:

slope=1/3

Step-by-step explanation:

the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3

5 0
3 years ago
Solve the simultaneous equation 2p - 3q = 4, 3p + 2q = 9. <br>b. if 223= 87 find x<br>​
wolverine [178]

Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

3p + 2q = 9 ..................... 2 * 2

Multiplying equation 1 by 3 and 3 by 2:

6p - 9q = 12

6p + 4q = 18

Subtracting both equation

-9q-4q = 12-18

-13q = -6

q = -6/-13

q = 6/13

Substituting q = 6/13 into equation 2

2p - 3(6/13) = 4

2p - 18/13 = 4

2p = 4+18/13

2p = (52+18)/13

2p = 70/13

p = 70/26

p = 35/13

<em>Hence p = 35/13 and q = 6/13</em>

<em></em>

<em>b) </em>If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

2x²+2x-84 = 0

x²+x-42 = 0

On factorizing:

(x²+6x)-(7x-42) = 0

x(x+6)-7(x+6) = 0

(x+6)(x-7) = 0

x+6 = 0 and x-7 = 0

x = -6 and 7

<em>Hence the value of x is 7 (neglecting the negative value)</em>

5 0
3 years ago
Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1
grandymaker [24]
2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.
8 0
3 years ago
What is the total surface area of a cylinder whose length is twice the radius
lianna [129]
Lateral surface area of a cylinder: 2πrh, r is the radius, h is the height.
area of the top and bottom circle: πr²
when h=2r, the total surface area is:
2πr(2r)+πr²+πr²=6πr²
the answer is 6πr²
7 0
3 years ago
How do you do this? (Not looking for answer, just how to do it)
Anit [1.1K]
All triangles add up to 180 degrees. Since sines can't be a negative, you need to add -130 to 180. The answer to this question would be sine 50 degrees. 
8 0
3 years ago
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