Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
The numbers that represents c and d and aligns with the information will be 24 - 10 = 14.
<h3>How to illustrate the information?</h3>
It should be noted that from the proportion, a = 60 and b = 25.
It was also stated that c - d = 14.
It should be noted that 60 and 25 have a common factor of 5. Therefore, the number that's equivalent to them will be:
(60 ÷ 2.5) = 24
25 ÷ 2.5 = 10
Therefore 24 - 10 = 14
The values are 24 and 10.
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Answer: the answer to question 6 is order least to greatest
Step-by-step explanation:
There are 143 men. There are 65 education majors. There are 26 men who have an education major. So, the total number of students who meet the criteria (man or education major) = Total number of Men + Total number of Education Majors - Total number of men with education majors = 143 + 65 - 26 = 182.
There are a total of 291 students. So, the probability that the student was a man or education major = 182 / 291 = 0.625.
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
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