Answer:
H
Step-by-step explanation:
Let represent A and B
A and B is the sum of the first 50 consecutive multiples of 3 and 6, this is the same as a arithmetic sequence because arithmetic sequences have a common sum.
We can represent this as
where a^1 is the first term, d is the common sum, n is the number of multiples we adding.
The first term for both A and B respectively is 3 and 6.
Multiples implies that the Difference between A and B are 3 and 6 respectively. There are 50 consecutively. multiples.
Plug in the known parts for both.
We need to what percent of find 150% of 300.
B is twice as A, so this means that we need to multiply 2 by it original or 100% of it self.
So 200% is the answer.
Draw an illustration describing the problem as shown in the attached picture. The black box drawn represents the tank of water with dimensions labeled 30cm×48cm×36 cm. Jennifer and her friends threw heavy solid objects represented by the blue box. It has dimensions of 12cm×12m×20 cm. These boxes occupy the bottom of the tank up to a height of 28 cm drawn by the blue lines. Now, I think the question will be how many of those heavy solid objects will fill up the bottom of the tank. The other question would be, how much is the volume of water displaced by the heavy solid objects.
First, let's compute the volume of each solid object labeled as v.
v = 12×12×20
v = 2,880 cm³
Next, let's solve the volume to be filled up by these solid objects, labeled as V.
V = 30×48×28
V = 40,320 cm³This is the volume of water displaced. When Jennifer and her friends drop the solid objects, each volume of object dropped corresponds to the same volume of water that overflows from the tank.
Next, we solve how many solid objects does it take to occupy
40,320 cm³.
Number of blocks =
40,320 cm³/2,880 cm³
Number of blocks = 14Therefore, it would take 14 heavy solid objects to displace 40,320 cm³ of water.
Answer:
x= -11
Step-by-step explanation:
distribute the 3 and the 2: 3 - 9x = -8x + 14
add 9x from both sides and subtract 14 from both sides: -11 = x
x = -11
A'B' and AB are equal in length because a rotation does change the length of a line segment it only changes it's position on the graph.
Answer:
Probability-Between .8574 = 85.74%
Step-by-step explanation:
Z1=-2.14 Z2=1.14
*x-1 35
*x-2 58
*µ 50
*σ 7
