The answer is D.
If you multiply them all together the answer (without simplifying), it should equal 210/9, you then simplify the numerator and denominator by 3 and you get 70/3.
Asked and answered elsewhere.
brainly.com/question/10380089It will take about
9.9 years longer to double your money at 3% simple interest compared to 3% interest compounded annually.
Answer:
The area of the resulting triangle will be: ![\boxed{A=900\:cm^2\:}](https://tex.z-dn.net/?f=%5Cboxed%7BA%3D900%5C%3Acm%5E2%5C%3A%7D)
Step-by-step explanation:
The area of a triangle is
![A=\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
Let us suppose
![A=\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
![A\:=\frac{1}{2}\times \:4\times \:18\:\:\:\:\:](https://tex.z-dn.net/?f=A%5C%3A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5C%3A4%5Ctimes%20%5C%3A18%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A)
![A=36\:cm^2\:](https://tex.z-dn.net/?f=A%3D36%5C%3Acm%5E2%5C%3A)
As the base and height are scaled a factor of 5.
so
base = 4 × 5 = 20
height = 18 × 5 = 90
as
![A=\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
![A\:=\frac{1}{2}\times \:20\times \:90](https://tex.z-dn.net/?f=A%5C%3A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5C%3A20%5Ctimes%20%5C%3A90)
![A=900\:cm^2\:](https://tex.z-dn.net/?f=A%3D900%5C%3Acm%5E2%5C%3A)
Therefore, the area of the resulting triangle will be: ![\boxed{A=900\:cm^2\:}](https://tex.z-dn.net/?f=%5Cboxed%7BA%3D900%5C%3Acm%5E2%5C%3A%7D)
Answer:
Jay's estimate is closer to the actual weight of the basketball
Step-by-step explanation:
The standard weight of an NBA basketball is 1.4 pounds.
Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below
Error = (Standard value - Estimated value)/ Standard Value ×100
Error in Jays answer =
× 100 = 64.28 %
Error in Shawna's answer =
× 100 = 96.42%
From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.
Answer:
The solutions are:
or
.
Step-by-step explanation:
The given equation is ![x^2=5x+14](https://tex.z-dn.net/?f=x%5E2%3D5x%2B14)
We rewrite in the standard quadratic form to obtain;
![x^2-5x-14=0](https://tex.z-dn.net/?f=x%5E2-5x-14%3D0)
We split the middle term with -7,2 because their product is -14 and their sum is -5.
![x^2-7x+2x-14=0](https://tex.z-dn.net/?f=x%5E2-7x%2B2x-14%3D0)
Factor by grouping;
![x(x-7)+2(x-7)=0](https://tex.z-dn.net/?f=x%28x-7%29%2B2%28x-7%29%3D0)
![(x-7)(x+2)=0](https://tex.z-dn.net/?f=%28x-7%29%28x%2B2%29%3D0)
Either
or
.
Either
or
.