We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared
The answer is 310 in2.
Answer:
This test batch can be chosen in 2380 ways
Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can this test batch be chosen?
4 batteries from a set of 17. So

This test batch can be chosen in 2380 ways
The given expression is:

From the above equation, we can answer all the 4 questions.
a) Initial value occurs when x = 0
So,
So, the Initial value of the function is 1/2.b) Simplified Base:The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.
So, the simplified base is 9
c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.
So, Domain is Set of All real numbers. In Interval notation this can be expressed as: (-∞,∞)d) Range:Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.
So, Range is equal to All real numbers greater than 0.In Interval notation, this can be expressed as (0,∞)
“lightning” warfare with tanks used to end a fight swiftly.
Answer:
700,000
Step-by-step explanation:
To explain this, we need to know the basics.
If you look at the number 790,390, you should automatically know that you can also write the same number as:
700,000 + 90,000 + 300 + 90
How did we do this?
Because each number in 790,390 has a <u>value.</u>
In fact, we can do this for any number! Like this:
12,345
You can also write the same number like this:
10,000 + 2,000 + 300 + 40 + 5
Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000
Examples:
12,345
The 3 in this number stands for 300, since it is in the hundreds place.
678,900
The 7 in this number stands for 70,000 because it is in the ten thousands place
Now you know!