Divide 25kg in a ratio of 2:3:5
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The required answer is 25 kg in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have to divide 25 kg into the ratio 2 : 3 : 5
The ratio is given in the question
⇒ 2:3:5
We can see that the sum of the parts of the given ratio as
⇒ 2 + 3 + 5 = 10 parts
Divide 25 by 10 to determine the value of one part of the ratio
So the value of 1st part of the ratio
⇒ 25 ÷ 10 = 2.5
Now, 2nd parts = 2 × 2.5 = 5
And, 3rd parts = 3 × 2.5= 7.5
And, 4th parts = 5 × 2.5= 12.5
So, 25 in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5
Therefore, the required answer is 25 kg in the ratio 2 : 3 : 5 = 5 : 7.5 : 12.5.
To learn more about the Ratio click here:
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25 ÷ 10 = 2.5
2.5 × 2 = 5
2.5 × 3 = 7.5
2.5 × 5 = 12.5
5 : 7.5 : 12.5
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Now 20%=2*10%.
So 20% of $125 is $25.
If you were to receive a 20% discount, you'd only have to pay $100 to bag the jump suit.
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All the answers except C has a Vertical Line when graphed. It must pass the Vertical line test in order to be a function.
Vertical Line Test: If you can draw a vertical line anywhere on a graph so that it hits the graph in more than one spot, then the graph is NOT a function.
C.) can pass the test since it's a horizontal line.
Hope this helps!
g(x)= 5x²+3
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Answer:
see the explanation
The graph in the attached figure
Step-by-step explanation:
we have
Function f(x)
----> equation A
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (0,-3)
The y-intercept is the point (0,-3) [value of y when the value of x is equal to zero]
The x-intercepts are the points
and
Function g(x)
----> equation B
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (0,3)
The y-intercept is the point (0,3) [value of y when the value of x is equal to zero]
The function don't have x-intercepts (the roots are complex numbers)
We can say that the function g(x) is the translation of the function f(x) 6 units up
using a graphing tool
The graph in the attached figure
The graphs of these quadratic functions are similar in shape, with the main differences being vertical shifts and y-intercepts. The graph of g(x)=5x^2 +3 is obtained by shifting the graph of f(x)=5x^2 −3 upward by 6 units.
The graphs of the quadratic functions f(x)=5x^2 −3 and g(x)=5x^2 +3
Both functions are quadratic, which means they have a graph in the shape of a parabola. The coefficient of the x^2 term in both functions is 5, indicating that the parabolas open upwards.
Now, let's analyze the differences:
Vertical Shift:
For f(x)=5x^2 −3, there is a vertical shift downward by 3 units due to the constant term -3.
For g(x)=5x^2 +3, there is a vertical shift upward by 3 units due to the constant term +3.
Y-Intercept:
The y-intercept of f(x) occurs when x=0, and f(0)=−3, so the y-intercept is (0, -3).
The y-intercept of g(x) occurs when x=0, and g(0)=3, so the y-intercept is (0, 3).
Overall Shape:
Both graphs have the same overall shape since the coefficient of the
x^2 term is the same in both functions.
Symmetry:
The parabolas are symmetric with respect to the y-axis, as changing
x to −x in the quadratic term does not affect the overall value of the function.
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Hope that makes sense lol
Hope I helped :)
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C=dπ and r+r=d so 3+3=6 and 6π≈18.84 so the circumference would be 18.84