A box has the shape of a rectangular prism with height of 28 cm. If the height is increased by 0.2 by how much does the surface area of the box increase?
Answers
Answer:
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
If the height is increased by 0.2
then
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Final answer:
The overall change in surface area when the height of a rectangular prism is increased by 0.2 cm can be calculated with the formula 0.4w + 0.4l.
Explanation:
In this question, we are looking at the surface area of a box that is a rectangular prism and how it will change if the height of the box is increased by 0.2 cm. The surface area of a prism is given by the formula 2lw + 2lh + 2wh, where l, w and h are the length, width and height respectively.
Now, if the height is increased by 0.2 cm, the difference in the surface area will be 2lw (because there are two ends with area lw that do not change) plus the change in the area of the sides. The sides' areas will increase by 2w x 0.2 and 2l x 0.2 respectively (since we have two opposing sides that both increase by 0.2 cm in height).
Therefore, the overall change in surface area when the height is increased by 0.2 cm is simply the sum of these two parts, which is 2w x 0.2 + 2l x 0.2. This can also be simplified to 0.4w + 0.4l.
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Given: ΔXYZXY = 28 cm; XZ = 30 cm; YZ = 32 AB is a midsegment parallel to XY What is the length of AB?
Answers
Answer:
C
Step-by-step explanation:
all x values is domain, all y values are range
Answer:
Its c
Step-by-step explanation:
Domain = x value
Range = y value
Answers
Answers
Answer:
x=7
Step-by-step explanation:
m1= 84
m2= 96
m3= 84
m4= 96
m5= 96
m6= 84
m7= 96
m8= 84
Answers
Answer:
Weinstein, McDermott, and Roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies.
One part of the study asked students to prepare for a test by reading a passage.
In one condition, students generated and answered questions after reading the passage.
In a second condition, students simply read the passage a second time.
All students were then given a test on the passage material and the researchers recorded the number of correct answers.
a. Identify the dependent variable for this study:
The dependent variable for this study is effectiveness.
b. Is the dependent variable discrete or continuous?
The dependent variable is discrete.
c. What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable?
The scale of measurement is ratio scale.
Step-by-step explanation:
a) To identify the dependent variable you need to find the item, circumstance, concept, sense, time frame, or any category in an specific scientific research, that is going to be measured. In this particular case, the dependent variable measured is the effectiveness of the different study strategies used based by the number of correct answers on a test. This variable could be influenced by independent variables also.
b) The method by which we obtain the resulting values make the difference between a discrete variable and a continuous variable. If measuring is the used method, then it is a continuous variable, but if counting is the utilized method to get the correct number of correct answers, as it is stated in this case, then it is a discrete, finite and countable.
c) The measurements´ accuracy are given by the different scales or levels and they are classified as:
- Nominal
- Ordinal
- Interval
- Ratio
Interval and ratio scales data are similiar is also known as called metric, sharing units, and represent quantiy., therefore the scale of measurement used in this study is ratio scale.
Answers
Put x=0, then f(x)=2(0.5)^0=2*1=2 => (0,2)
Put x=1, then f(x)=2(0.5)^1=2(0.5)=1 => (1,1)
Put x=2, then f(x)=2(0.5)^2=2(1/4)=1/2 => (2, 1/2)
....
Answers
2(y-1)=ny
(where ny is not-yellow)
You get y=2y-2 or y=2. You had two yellow birds and two other types.