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3 years ago

50 sin2 x = 50 + 25 cos x

Mathematics

2 answers:

densk [106]3 years ago

6 0

Answer:

Step-by-step explanation:

divide by 25

2sin²x=2+cos x

sin²x+cos²x=1

sin²x=1-cos²x

2(1-cos²x)=2+cos x

2-2 cos²x=2+cos x

2cos²x+cos x=0

cos x(2 cos x+1)=0

cos x=0,

x=(2n+1)π/2

where n is an integer.

2cos x+1=0

cos x=-1/2=-cos π/3=cos (π-π/3),cos(π+π/3)=cos (2nπ+2π/3),cos (2nπ+4π/3)

x=(3n+1)2π/3,(3n+2)2π/3

where n is an integer.

AleksandrR [38]3 years ago

5 0

Step-by-step explanation:

there my duuuuuuuuuuuuuuuude

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A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain

noname [10]

Answer:

$Z_{H0}$ = 1.56

Step-by-step explanation:

Hello!

You have two independent samples of fertilizers from distributor A and B, and need to test if the average content of nitrogen from fertilizer distributed by A is greater than the average content of nitrogen from fertilizer distributed by B.

Sample 1

X₁: Content of nitrogen of a fertilizer batch distributed by A

n₁= 4 batches

Sample mean X₁[bar]= 23pound/batch

σ₁= 4 poundes/batch

Sample 2

X₂: Content of nitrogen of a fertilizer batch distributed by B

n₂= 4 batches

Sample mean X₂[bar]= 18pound/batch

σ₂= 5 pounds/batch

Both variables have a normal distribution. Now since you have the information on the variables distribution and the values of the population standard deviations, you could use a pooled Z-test.

Your hypothesis are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

The statistic to use is:

Z= X₁[bar] - X₂[bar] - (μ₁ - μ₂) ~N(0;1)

√(δ²₁/n₁ + δ²₂/n₂)

$Z_{H0}$ = (23 - 18) - 0 = 1.56

√(16/4 + 25/4)

I hope this helps!

8 0

3 years ago

Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 mo

Oksi-84 [34.3K]

Answer:

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s =425

d = s+25

The system of equations

d+s =425

d = s+25

I will use substitution to solve

Substitute d= s+25 into the first equation

d+s =425

(s+25) + s = 425

Combine like terms

2s+25 =425

Subtract 25 from each side

2s+25-25 =425-25

2s = 400

Divide by 2

2s/2 =400/2

s =200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225

7 0

3 years ago

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svetoff [14.1K]

Answer:

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5 0

3 years ago

I need help. Like just help please lol I don’t understand this and I’m dumb :) thanks

yulyashka [42]

Answer:

Step-by-step explanation:

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