Answer:
667.8 cm³
Step-by-step explanation:
To find the volume of a box;
simply multiply the length, width, and height - and you're good to go! For this case, the box is 9x7x10.6 cm, then the volume of a box is 667.80 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy. Therefore, the volume of the box is 667.8 inches cubed
8+|3y - 5|=15
Answer:
Step-by-step explanation:
The expression
can be rewritten as a complex number in standard form as 4 + i.
To rewrite the expression
as a complex number in standard form a + bi, we need to simplify the expression inside the square root and then perform the necessary calculations.
The expression inside the square root is 16 - (4)(5) = 16 - 20 = -4. Since we have a negative value inside the square root, we can rewrite it as 2i√{1} to simplify it.
Now, let's rewrite the expression:
Since √{1} = 1, the expression becomes:
4 + i√{1} = 4 + i
Therefore, the expression
can be rewritten as a complex number in standard form as 4 + i.
learn more about complex number in standardform: brainly.com/question/12241782
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What is the 10th term of the sequence?
Answer: 23
Explanation: First of all, let's make sure we have an arithmetic sequence. An arithmetic sequence is a sequence that has a common difference which is the number repeatedly added or subtracted to reach the next term.
To get from -4 to -1, we're adding 3.
To get from -1 to 2, we're adding 3.
To get from 2 to 5, we're adding 3.
So we know that this is an arithmetic sequence because it has a common difference or the number that is repeatedly added which is 3.
Now, we want to determine the 10th term in this sequence.
There are 2 ways that you can determine the 10th term. You can keep on adding 3 until you get to the 10th term or you can use the explicit formula. I will show you the explicit formula which is shown below.
Now we want to determine what the 10th term is so we're trying to determine . Now, we know what is because it's our first term or -4. Now, n will be the number of terms we're solving for or 10. Lastly, we have the d which represents the common difference which is 3.
So plugging into the formula, we have .
Now, make sure we apply order of operations because this is where many students make mistakes.
(10 -1) is going to be 9. Then we want to make sure we multiply before we add so 9 x 3 is going to be 27 and then -4 + 27 is 23.
So the 10th term in this sequence is 23.