Answer:
1
Step-by-step explanation:
definite integral from 0-2 of root x dx
root x = x^½
integral of x^½ = ⅔x^(3/2)
There are 6 numbers on each die.
The total number of out comes is 6 x 6 = 36.
To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.
To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3
The total of those combinations are: 3 + 7 = 10 total combinations of a sum of either 4 or 8.
The probability of either is 10/36, which can be reduced to 5/18.
James receives a pay increase of 100% per month and has a starting salary of $500.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the rate of pay increase and a represent the initial pay.
Let us assume that he had received 128000 after the 8 months. hence:
128000 = ab⁸ (1)
Also in the 10th month, he had received 512000, hence:
512000 = ab¹⁰ (2)
From the both equations:
a = 500, b = 2
rate of increase = 200% - 100% = 100%
James receives a pay increase of 100% per month and has a starting salary of $500.
Find out more on equation at: brainly.com/question/2972832
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Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
Answer:
m∠RST = 155°
m∠RSU = 102°
Step-by-step explanation:
m∠RST = m∠RSU + m∠UST
12x - 1 = 9x - 15 + 53
12x - 9x = 1- 15 + 53
3x = 39
x = 39/3
x = 13°
m∠RST = (12x -1)° = (12 * 13 - 1)° = (156 - 1 )° = 155°
m∠RSU = (9x -15)° = (9 * 13 - 15)° = ( 117 - 15)° = 102°
