Answer:
-2
Step-by-step explanation:
Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2
Here h = -2, k = -3, x = -1, y = -5. Find a:
-5 - [-3] = a(-1 - [-2])^2, or
-5 + 3 = a(1)^2, or
-2 = a
The unknown coefficient is -2.
Step-by-step explanation:
a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.
while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :
top and bottom
left and right
front and back
all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.
your remember, the area of a rectangle is
length × width
in our case we have
top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²
left and right : 2.5×5 × 2 = 12.5×2 = 25 in²
front and back : 11.5×5 × 2 = 57.5×2 = 115 in²
so, the total surface area of the whole block is
57.5 + 25 + 115 = 197.5 in²
A histogram is an image of data that resembles a bar graph and groups several categories into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis. To see how data distribution patterns look, utilize columns.
(a) Use classes with a 2 minute width and a 14 minute starting point to create a histogram of the journey times. Thus, the first lesson lasts between 14 and 16 minutes.
Describe the distribution's shape. What is the average journey time interval?
If a histogram has a bell shape, its center and spread can be used to parsimoniously characterize it. The axis of symmetry is located at the middle. The spread is the separation between the center and a particular point of inflection. The inflection points of the bell-shaped histogram are indicated here.
To learn more about Histogram refer to:
brainly.com/question/25983327
#SPJ13
The domain of the function f(x) is where the area under the square root (aka the radicand) is positive or zero. We have to write that the radicand is greater than or equal to zero, so
.
C
Hey there!
To find the volume, we simply find the separate volumes of all three cubes and add them. The formula for volume in a cube is s^3 with s being one side. Therefore since all the sides are 6, the volume of one cube is 216 units cubed.
Now, we multiply that by three to get the total volume of the three cubes, to get 648 cubic units- so A.
Hope this helps!
