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zlopas [31]
3 years ago
14

Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of p

roportionality? A. 1 C. 10 B. 5 D. 20
Mathematics
1 answer:
Valentin [98]3 years ago
3 0
The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.

Final answer: C. 10
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The explicit rule for a sequence is an=5(−2)^n−1
Murrr4er [49]

Answer:

3) a_n=-2a_{n-1}, a_1=5

Step-by-step explanation:

Given that the explicit rule for a sequence is a_n=5(-2)^{n-1}.

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) a_n=-2a_{n+1}, a_1=5

2) a_n=-5a_{n+1}, a_1=2

3) a_n=-2a_{n-1}, a_1=5

4) a_n=-5a_{n-1}, a_1=2

Plug n=1 into given formula to get first term

a_n=5(-2)^{n-1}

a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) a_n=-2a_{n-1}, a_1=5

7 0
3 years ago
calculate the average rate of change for the given graph from x=0 to x=3 and select the correct answer
Advocard [28]
Can you attach a picture?

8 0
3 years ago
A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then
aleksklad [387]

Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

AB² = AC² + BC² - 2(AC × BC)CosC

AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

36.08/Sin58 = 42/SinB

Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

360 - 81 = 279°

8 0
2 years ago
Start at 3. create a pattern that multiplies each number by 3 stop when you have 5 numbers
Gnesinka [82]
3, 6, 9, 12, 15
I did what you asked
7 0
3 years ago
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The Outer Bay Aquarium hold 1,000,000 gallons of water. How many days would it take to fill the aquarium if it fills at a rat of
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Answer:

10,471.2042

Step-by-step explanation:

Tbh Im not too sure

4 0
3 years ago
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