Answer:
temperature on the beach = T2 = 34.56 °C
Step-by-step explanation:
We are given;
P1 = 4.5 atm
T1 = 24 °C = 24 + 273 = 297 K
P2 = 4.66 atm
Thus, P1/T1 = P2 /T2
So, T2 = P2•T1/P1
Thus, T2 = (4.66x 297)/4.5
T2 = 307.56 K
Let's convert to °C to obtain ;
T2 = 307.56 - 273
T2 = 34.56 °C
Answer:
1. 0.99993108.
2. 6 components.
Step-by-step explanation:
(a) Probability of 1 component failing = 0.041
So the probability of the whole system failing = 0.041^3.
Therefore the probability of not failing
= 1 - 0.041^3 = 0.99993108.
(b).
Try 5 components:
1 - 0.041^5 = 0.99999988
6:
1 - 0.041^6 = 0.9999999952.
So the answer is 6 components.
Certain sequences (not all) can be defined (expressed) in a "recursive" form. <span>
In a <span>recursive formula, </span>each term is defined as a function of its preceding term(s). <span>
[Each term is found by doing something to the term(s) immediately in front of that term.] </span></span>
A recursive formula designates the starting term,<span><span> a</span>1</span>, and the nth term of the sequence, <span>an</span> , as an expression containing the previous term (the term before it), <span>an-1</span>.
<span><span>The process of </span>recursion<span> can be thought of as climbing a ladder.
To get to the third rung, you must step on the second rung. Each rung on the ladder depends upon stepping on the rung below it.</span><span>You start on the first rung of the ladder. </span><span>a1</span>
<span>From the first rung, you move to the second rung. </span><span>a<span>2
</span> a2</span> = <span>a1 + "step up"
</span><span>From the second rung, you move to the third rung. </span><span>a3</span>
<span> a3 = a2 + "step up"</span>
<span><span>If you are on the<span> n</span>th rung, you must have stepped on the n-1st rung.</span> <span>an = a<span>n-1</span> + "step up"</span></span></span><span><span>Notation:<span> Recursive forms work with the term(s) immediately in front of the term being examined. The table at the right shows that there are many options as to how this relationship may be expressed in </span>notations.<span>A recursive formula is written with two parts: a statement of the </span>first term<span> along with a statement of the </span>formula relating successive terms.The statements below are all naming the same sequence:</span><span><span>Given TermTerm in front
of Given Term</span><span>a4a3</span><span>ana<span>n-1</span></span><span>a<span>n+1</span><span>an</span></span><span><span>a<span>n+4</span></span><span>a<span>n+3</span></span></span><span><span><span>f </span>(6)</span><span><span>f </span>(5)</span></span><span><span><span>f </span>(n)</span><span><span>f </span>(n-1)</span></span><span><span><span>f </span>(n+1)</span><span><span>f </span>(n)</span></span></span></span>
<span><span> Sequence: {10, 15, 20, 25, 30, 35, ...}. </span>Find a recursive formula.
This example is an arithmetic sequence </span>(the same number, 5, is added to each term to get to the next term).
Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,
Volume = πR²×H = π× 4²×6 = 301.6 in³
Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,
Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches
Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.
Learn more about Volume:
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The 2 angles in a complement would be (in degrees) 65 and 25
