Answer:
Last week: 4.32inches + 6.86inches =11.18inches
This week: 7.89inches
HOW MUCH MORE IT SNOWED LAST WEEK
=11.18inches - 7.89inches
=3.29inches
Hello there!
The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.
3x + 1 < -2x + 8
We wanna start by subtracting 1 on both sides
3x + 1 - 1 < -2x + 8 - 1
3x < -2x + 7
Add 2x on both sides
3x + 2x < -2x + 7 + 2x
5x < 7
x < 7/5
I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!
Answer:
7 days
Step-by-step explanation:
Answer:
Step-by-step explanation:
Express Courier Service has found that the delivery time for packages is normally distributed. So we use
z = (x - mean)/standard deviation
mean = 13
standard deviation = 2
x = time of delivery in hours
a) P(0 lesser than/equal to 18)
z = (18-13)/2 =5/2 = 2.5
Using the normal distribution table, the value is 0.9938
b) to be 95% sure, let the time be t
From the table, the equivalent of z that is 0.95 = 1.645
So 1.645 = (t-13)/2
t-13 = 3.29
t = 3.29+13= 16.29 hours
The trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
<h3>
How to solve the trigonometric identity?</h3>
Since (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
Using the identity a² - b² = (a + b)(a - b), we have
(cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
= (cos²θ - sin²θ)(cos²θ + sin²θ)/[(1 - tan²θ)(1 + tan²θ)] =
= (cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] (since (cos²θ + sin²θ) = 1 and 1 + tan²θ = sec²θ)
Also, Using the identity a² - b² = (a + b)(a - b), we have
(cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] = (cosθ - sinθ)(cosθ + sinθ)/[(1 - tanθ)(1 + tanθ)sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)/cosθ × (cosθ + sinθ)/cosθ × sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)(cosθ + sinθ)/cos²θ × 1/cos²θ]
= (cosθ - sinθ)(cosθ + sinθ)cos⁴θ/[(cosθ - sinθ)(cosθ + sinθ)]
= 1 × cos⁴θ
= cos⁴θ
So, the trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
Learn more about trigonometric identities here:
brainly.com/question/27990864
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