Answer:
a^2-12a+36
Step-by-step explanation:
;)
Answer:
The answer to your question is: the second option
Step-by-step explanation:
a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.
b) This is the right option, the sentence is given in the description.
c) This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.
d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.
The equation representing the given number sentence is x/5 + 14 = 23.
The number sentence is "Fourteen more than the quotient of a number and 5 is 23." To represent this as an equation, we need to translate the words into mathematical symbols. Let's say the number is represented by x. The quotient of a number and 5 is x/5. Fourteen more than x/5 is x/5 + 14. So, the equation representing the number sentence is x/5 + 14 = 23.
#SPJ2
1. Use properties of logarithms with the given approximations to evaluate the expression. Use log2=0.693 and/or log6=1.792 to find log12.
Answer: log12 = log6 + log2 = 1.792 + 0.693 = 2.485.
2. Complete parts (a) and (b).
a. Write the inverse of y=8x in logarithmic form.
Answer: log8(y) = x.
b. Graph y=8x and its inverse and discuss the symmetry of their graphs.
Answer: The graph of y=8x and its inverse will have the same shape, but it will be flipped across the line y = x. This is known as the symmetry of their graphs.
3. 2log215 EVALUATE Use properties of logarithms with the given approximations to evaluate the expression. log3≈0.477 and log5≈0.699. Use one or both of these values to evaluate log27. Write as a single logarithm. Assume that variables represent positive numbers. 5log2x+2log2z
Answer: log27 = log5 + log3 = 0.477 + 0.699 = 1.176.
4. On the basis of data for the years 1918 through 1997, the expected life span of people in a country can be described by the function f(x) = 12.576ln x + 17.088 years, where x is the number of years from 1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?
Answer: This model estimates that the life span for people born in 1941 is 70.698 years.
For further information on Logarithms, refer below:
#SPJ11
Answer:
Step-by-step explanation:
Since the box doesn't have the top, the total surface area includes 4 sides and the bottom.
Cardboard used is 1044 cm²
9 + 7x
Answer:
nine added to seven times a number.
Step-by-step explanation:
''x'' is the unknown number which is being multiplied by 7. Than 9 is added to it.
Answer:
3 measurements of different rectangular prisms that each have a surface area
of 20 square units is given as
(4.5 × 1 × 1)
(2 × 1 × 2.67)
(2 × 3 × 0.80)
Step-by-step explanation:
A rectangular prism is a cuboid and the surface area of a cuboid with length, x, width, y and height, z, is given as
S = 2xy + 2yz + 2xz
S = 2[xy + yz + xz]
So, the question asks us to list 3 different measurements of a rectangular prism with surface area of 20 square units.
S = 2[xy + yz + xz] = 20
[xy + yz + xz] = 10
So, with a little of trial and error, we can vary the values of x, y and z to obtain 3 separate measurements that give a surface area of 20 square units.
[xy + yz + xz] = 10
Let x = 4.5, y = 1, z = 1
(4.5×1) + (1×1) + (4.5×1) = 10, works!!!
(x, y, z) = (4.5, 1, 1)
[xy + yz + xz] = 10
Again, we can fix arbitrary values for two sides and calculate for the last side.
If x = 2 units, y = 1 unit,
(2×1) + (1×z) + (2×z) = 10
2 + 3z = 10
3z = 8
z = (8/3) = 2.667 units
(x, y, z) = (2, 1, 2.67)
[xy + yz + xz] = 10
And lastly, if x = 2, y = 3
(2×3) + (3×z) + (2×z) = 10
6 + 5z = 10
5z = 4
z = (4/5) = 0.80 unit
(x, y, z) = (2, 3, 0.80)
Hope this Helps!!!
b. –10
c. 10
d. 4?