Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
The first clue to this problem is that Bob has three kids in which the product of their ages is 72 and the sum is 14. From the factor tree, there are two combinations of the ages 2, 6, 6 and<span> 3,3,8. Last thing he said is that his youngest is named Justice. One combination has similar number in the set which means there are twins. The youngest means there can be only one child. Hence the ages of the children are 2,6,and 6. </span>
Answer:
x=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
Answer:
the perimeter of the square is 12 mm
Step-by-step explanation:
each side of the square is 3 mm
