Answer:
A: 6x⁸y⁵
B: 4x⁵z⁸
C: 48a¹²b⁵
D: 6s⁹t³
Step-by-step explanation:
When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,
3x²2y⁴(2x⁶y)
6x⁸y⁵
xz³(4x⁴z⁵)
4x⁵z⁸
(4a³)²(3a⁶b⁵)
16a⁶(3a⁶b⁵)
48a¹²b⁵
6s⁵t(s⁴t²)
6s⁹t³
Answer:
Orthographic Projection is used for making the projects but Isometric Projection is used to have better understanding of the object.
Orthographic drawings are typically two dimensional views of an object. For instance, if you were designing a table, you would draw a top view, side view and a bottom view. Should these three views not fully explain the design of the table other views would need to be drawn. When drawing an perspective view in an orthographic manner, you would utilize a 45 degree triangle for the lines that extend back or forward from the vertical lines. This type of perspective is not a true perspective because you can measure the true length of all the details shown. An isometric drawing is meant to depict a 3D image of an object in what appears to be a perspective view. However, similar to an orthographic perspective, all of the lines in an isometric drawing can be measured to their true length. What makes it different from an orthographic perspective is that its angled lines are drawn at 30 or 60 degrees or divisions of them. Drawing this by hand you would use a 30/60/90 triangle.
In either case, both types of perspectives can be accurately measured with a ruler in order to know the objects measurements.
Step-by-step explanation:
Answer:
Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
Step-by-step explanation:
Answer:
(B) If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.
Step-by-step explanation:
A confidence interval of 95% means that there is a 95% certainty that for a given sample, the population mean will be within the confidence interval estimated.
This is the same as saying that if he sampling procedure were repeated many times, 95% of the time the population mean would be contained in the resulting confidence interval.
Therefore, the answer is B)
Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)
