Answer:
Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on
Step-by-step explanation:
Let Federico's age = x
Three times the difference of Federico’s age, and 4 means:
3(x - 4)
Increased by 7:
3(x - 4) + 7
Is greater than 37:
3(x - 4) + 7 > 37
Solving the inequality:
3x - 12 + 7 > 37
3x - 5 > 37
3x > 37 + 5
3x > 42
x >42/3
x > 14
Federcio's age possible values are those that are greater than 14
Answer:
[C] 25π square inches
Step-by-step explanation:
<u><em>Given that:</em></u>
<em>the long hand of the clock is about 5 inches long.</em>
<u><em>To Find:</em></u>
<em>What is the approximate area of the clock face?</em>
<u><em>Solve:</em></u>
<em>Formula - </em><em>A =πr²</em>
<em>Note that;</em>
<em>π = 3.14 (about)</em>
<em>Radius - 5 inches</em>
<em>A =πr²</em>
<em>A = 3.14(5)²</em>
<em>A = 3.14(25)</em>
<em>A = 78.5</em>
<em>Now let see the answer choices:</em>
<em>A. 5π square inches ≈ 5(3.14) = 15.7</em>
<em>B. 10 π square inches ≈ 10(3.14) = 31.4</em>
<em>C. 25 π square inches ≈ 25(3.14) = 78.5</em>
<em>D. 100 π square inches ≈ 100(3.14) = 314</em>
<em />
<em>Hence, the answer is [C] 25 π square inches </em>
<em />
<u><em>Kavinsky~</em></u>
Answer:
and 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:


To solve this, we first equate
and
to 0.
So, we have:


Factor out R in 

Split
or 
or 
Factor out W in 

Split
or 
Solve for R


Make R the subject


When
, we have:




Collect like terms

Solve for W




When
, we have:



Collect like terms

Solve for R


So, we have:

When
, we have:





So, we have:

Hence, the points of equilibrium are:
and 
Answer:
The other endpoint is located at (-4,-2)
Step-by-step explanation:
we know that
The diagonals of a rhombus bisect each other
That means-----> The diagonals of a rhombus intersect at the midpoint of each diagonal
so
The point (0,4) is the midpoint of the two diagonals
The formula to calculate the midpoint between two points is equal to

we have


substitute

<em>Find the x-coordinate
of the other endpoint</em>


<em>Find the y-coordinate
of the other endpoint</em>



therefore
The other endpoint is located at (-4,-2)
Answer:8,000,000
Step-by-step explanation: