Question A coast guard patrol boat and a fishing boat leave a dock at the same time on the courses shown. The patrol boat travels at a speed of 15 nautical miles per hour (15 knots), and the fishing boat travels at a speed of 2 knots. After 1 hour, the fishing boat sends a distress signal, which is picked up by the patrol boat. If the fishing boat does not drift, how long will it take the patrol boat to reach the fishing boat at a speed of 15 knots? Round the intermediate result to three decimal places and the final answer to the nearest thousandth. A diagram shows a triangle labeled Uppercase D Uppercase F Uppercase P. The side Uppercase D Uppercase F measures two. The side Uppercase D Uppercase P measures fifteen. The side Uppercase F Uppercase P is labeled as Lowercase d. A vertical dashed line extends up from the vertex D to a point N, forming an angle with side Uppercase D Uppercase P measuring twenty degrees. Angle Uppercase F Uppercase D Uppercase N measures one hundred five degrees. Enter the correct value in the box.
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Let’s use the law of cosines to solve this problem. The law of cosines states that for any triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds: c^2 = a^2 + b^2 - 2ab cos. In our case, we know that the patrol boat travels at a speed of 15 knots and the fishing boat travels at a speed of 2 knots. After 1 hour, the fishing boat sends a distress signal, which is picked up by the patrol boat. If the fishing boat does not drift, we can assume that it has traveled 2 nautical miles in one hour . Let’s call the distance between the patrol boat and the fishing boat “d”. We can use the law of cosines to solve for “d” as follows:
d^2 = 15^2 + 2^2 - 2(15)(2)cos(105°) d^2 = 225 + 4 - 60cos(105°) d^2 = 229.8 d ≈ 15.16 nautical miles
Therefore, it will take the patrol boat approximately 1.011 hours to reach the fishing boat at a speed of 15 knots .
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Harold spends 1/6 of the year on his aunts farm. He has done this for the last 8 years. What is the total amount of years, in simplest form , that Harold has spent on his aunts farm? Please explain to me step by step how this problem is solved! Thank you
Can someone explain the answer llease? I dont understand.
Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..
(6•9)^5
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A
Explanation
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Answer:
Step-by-step explanation:
To find the volume of an object, we can use the formula:
Volume = Mass / Density
Given that the density of the object is 8 g/cm³ and the mass is 200g, we can substitute these values into the formula to find the volume.
Volume = 200g / 8 g/cm³
Simplifying the expression:
Volume = 25 cm³
Therefore, the volume of the object is 25 cm³.
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h(x)=
find h(-8)
All we need to do is PLUG IN THE -8
h(-8)=
=
=
h(-8)=-8
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That depends on how many fish or mice he ate yesterday, how well
he slept last night, and where he really wants to be.
From the information given in the question, the only things we can
really say for sure is that if he maintains his top speed, he will fly
322,000 meters for every hour that he keeps it up, and that he will
be one scrawny, exhausted bird when it's all over.
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Answer:
a. -2, even mult. and 1, odd mult.
b.
c. Odd degree of 3 or higher, likely higher due to the turns in the graph.
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
- The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
- Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
- The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.
In this graph, there are two real zeros: -2,1
We can write them in intercept or factored form as (x-1) and (x+2).
Because the graph never crosses the x-axis at x=-2 the zero has an even multiplicity of at least 2. The opposite is true for x=1 because it crosses. Therefore it has an odd multiplicity of at least 1.
The graph is a sideways s shape and ends up so is positive.
This means the function has a degree of 3 or higher with the degree being odd.
Answers
old new
1: 1
2: 1 x 3 = 3 ⇒ 1 3 *only new members recruit 3 more
3: 3 x 3 = 9 ⇒ 4 9
4: 9 x 3 = 27⇒ 13 27
5: 27 x 3 = 81 ⇒ 40 81
40 + 81 = 121. Total number of members under 1 founding member.
121 x 2 founding members = 242 total number of members within 5 weeks.
Answer:
C. 242
Step-by-step explanation: