Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.
- The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
- The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship using the function notation is; f(x) = {function of x}.
- The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>
- <em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.
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Answer:
answer is -3
Step-by-step explanation:
we know -,+ is -. so minus, plus is minus(here minus and plus are the signs given. opposite signs give minus wheras same signs give plus)
so, first we should subtract 7 minus 4 is 3,.
then we should insert the minus because the greater number has the minus sign. ( you should always insert a sign of a greater number after substituting)
Answer:

Step-by-step explanation:
Given:
To find:
- Summation notation of the given series
Summation Notation:

Where n is the number of terms and
is general term.
First, determine what kind of series it is, there are two main series that everyone should know:
A series that has common difference.
A series that has common ratio.
If you notice and keep subtracting the next term with previous term:
Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.
Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:
<u>Arithmetic Sequence</u>

Where
is the nth term,
is the first term and
is the common difference:
So for our general term:

And for number of terms, substitute
= 251 and solve for n:

Now we can convert the series to summation notation as given the formula above, substitute as we get:

Answer:
50 degrees and 40 degrees
Step-by-step explanation:
50 degrees and 40 degrees
complimentary = add up to 90 degrees
5:4:9
50:40:90
Algebra is number 3 - You have subtracted the measure of angle HKI from the equation.
Transitive property of equality is number 2 - Because both pairs of angles equal 180 degrees, you can set them equal to each other.
Definition of congruence is number 4 - The congruence symbol is in the equation, which tells you that the two angles are congruent.
Angles forming a linear pair sum to 180 degrees is number 1 - 180 degrees is in the equations given and the angles all form linear pairs.
Hope this helps!! :)