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nika2105 [10]
3 years ago
13

Solve 4sin2θ + 4cosθ - 5 = 0 for 0° ≤ θ < 180°. Ø 0° 30° 60°

Mathematics
1 answer:
LiRa [457]3 years ago
3 0
The answer is 60 or 300
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Expand the expression​
pochemuha

the answer is 4/7 s + 6/7

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4 years ago
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The data below represent a demand schedule.
ser-zykov [4K]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

  1. 5.50
  2. 2.25
  3. 1.17
  4. 0.63

<h3>What is the price elasticity of demand?</h3>

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

<h3>Part B.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

<h3>Part C.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

<h3>Part D.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: brainly.com/question/24384825

#SPJ1

3 0
2 years ago
Help with my math i will mark brainliest
Svetlanka [38]

Answer:

D

Step-by-step explanation:

step 1: find the slope

slope is 2/-4 = -1/2

then plug in the value for x to y, you get +1 for the y intercept

then it becomes y=-1/2x + 1

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

4 0
3 years ago
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worty [1.4K]
Your correct answer should be F
5 0
3 years ago
Of a random sample of 200 auditors, 105 indicated some measure of agreement with this statement: "Cash flow is an important indi
goldfiish [28.3K]

Answer:

a)At the 10% significance level, we fail to reject the null hypothesis.

b) P-value is ≈ 0.48

Step-by-step explanation:

Let p be the proportion of the auditors agree with the statement  "Cash flow is an important indicator of profitability."

Then,

H_{0}: p=0.5

H_{a}: p≠0.5

Test statistic can be calculated as:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of the auditors agree with the statement. (\frac{105}{200}=0.525)
  • p is the proportion assumed under null hypothesis. (0.5)
  • N is the sample size (200)

Using these numbers we get:

z=\frac{0.525-0.5}{\sqrt{\frac{0.5*0.5}{200} } }≈0,707

and p(z) is ≈ 0.48. Since 0.48>0.10, the result is not significant at 90% level. Therefore we fail to reject the null hypothesis.

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4 years ago
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