Answer:
3.4121 * 10 ^4
Step-by-step explanation:
34,121 is same as
3.4121 * 10 ^4
because the first number has to be between 0 and 10 and if you move the decimal 4 places to the right you got the initial number
Answer:
D. 1.06(3.19x + 1.20y + 1.20z)
Step-by-step explanation:
Since marker packs are 3.19 each, the cost of the marker packs she buys can be represented by 3.19x.
All spiral notebooks are 1.20 each, so the cost of the wide ruled notebooks can be represented by 1.20y.
The cost of the college ruled notebooks can be represented by 1.20z.
In the expression, all of these terms have to be added together and multiplied by 1.06 to calculate the sales tax.
So, the expression will be 1.06(3.19x + 1.20y + 1.20z)
D is the correct answer
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem

Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Answer:
0.636
Step-by-step explanation:
Let Aw, Ab, Bw, Bb the following events:
Aw = the ball drawn from urn A is white
Ab = the ball drawn from urn A is black
Bw = the ball drawn from urn B is white
Bb = the ball drawn from urn B is black
the probability that the transferred ball was black given that the second ball drawn was black is P(Ab | Bb)
By the Bayes' Theorem
Working out the calculations
rounded to three decimals
Answer:
Step-by-step explanation:
x- int
1/3x - 2/3 = 0
1/3x = 2/3
3(1/3x = 2/3)
x = 2
(2, 0)
y- int
y = 1/3(0) - 2/3
y = 0 - 2/3
y = -2/3
(0, -2/3)