Answer:
D.)
Step-by-step explanation:
y = 5/x
so when the value of x triples, the new X becomes;
X = 3x
So,
Y = 5/ X
=> Y = 5/3x
=> Y = 1/3 . 5/x
=> Y = 1/3 . y
so the new value of y ( Y ) is 1/3 times original y.
Hence, D. is the answer
Answer:
3/10
Step-by-step explanation:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
The limit of the function <span>( sin3x sin5x ) / x^2 as x approaches zero is evaulated by substituting the function by zero. Since the answer is zero / zero which is indeterminate. Using L'hopitals rule, we derive separately the numerator and the denominator. we all know that sin 5x and sin 3x are equal to zero. Upon teh first derivative, the answer is still zero / zero. We derive further until the function has a denominator of 2 and a numerator still equal to zero. Since the answer is now zero/ 2 or zero not zero/zero, the limit then is equal to zero.</span>
Answer:
4. the circumference = approx. 21.99
5. 30 feet
6. 150.8 feet
Step-by-step explanation:
4: 3.5*π*2= 21.99
5:. 1800÷60= 30
6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times
hope this helps <3
The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
Learn more about arithmetic progressions at brainly.com/question/24592110
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