Answer:
not enough information but based off other ppl's questions..
Explanation:
4,10,11 = not a right traingle
4,4, square root of 32 = right traingle.
8,7, square root of 113 = right triangle
4,4, square root of 24 = not right triangle
7,8,15 = not a right triangle
Explanation:
Let x assume two values x₁ and x₂. Substituting these values in (1) and subtracting one from the other
f(x₂) - f(x₁) = 6x₂ + 1 - (6x₁ + 1) = 6x₂ - 6x₁= 6(x₂ - x₁) …………………..(A)
Equation (A) can be used to evaluate the difference between values of f(x) for any preassigned values of x.
In the present problem, x₁= 1 and x₂ = 2.
∴ (A) gives,
f(2) - f(1) = 6(2–1) = 6 . 1 = 6 (Answer).
Consult the balanced reaction:
O₂ + 2 H₂ ⇄ 2 H₂O
which says you need twice as many moles of H₂ as O₂. So if 1.57 mol O₂ is available, then the reaction would consume 2 × 1.57 = 3.14 mol H₂.
The matrix is a 2 by 2 matrix, and the determinant of the matrix by hand is -3
<h3>How to determine the determinant?</h3>
The matrix is given as:
1 2
2 1
The determinant of the matrix is calculated using the following product expression
det |A| = 1 * 1 - 2 * 2
Evaluate the product
det |A| = 1 - 4
Evaluate the difference
det |A| = -3
Hence, the determinant of the matrix by hand is -3
Read more about matrix at:
brainly.com/question/4505228
The graph of the normal distribution of the random sample size of 24 will have the shape of a bell curve.
The value of k such that P(-2.069 < T < k) = 0.965 is 2.5
<h3>How to determine the value of k?</h3>
The sample size is given as:
n = 24
This means that the degrees of freedom is:
df = n - 1
df = 24 - 1
df = 23
The probability is given as:
P(-2.069 < T < k) = 0.965
This can be rewritten as:
P(T>-2.069) - P(T>k) = 0.965
The value of P(T>-2.069) at a degrees of freedom of 23 and = 0.025 is 0.975
So, we have:
0.975 - P(T>k) = 0.965
Collect like terms
P(T>k) = 0.975 - 0.965
Evaluate the difference
P(T>k) = 0.01
The value of k that makes P(T>k) = 0.01 is 2.5.
So, we have:
k = 2.5
Hence, the value of k is 2.5
Read more about normal distribution at:
brainly.com/question/4079902