Answer: Yes
Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.
In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.
Answer:
C
Step-by-step explanation:
The graph can take any value of X
-3[ x^2 - 2x + 1] + 4
-3x^2 +6x -3 + 4
-3x^2 + 6x + 1
x can take any value of real numbers and there would be a solution
Hence all real numbers is the domain.
Answer:
1661.06 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 11.5 cm
Size of synthetic leather needed =?
To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:
Radius (r) = 11.5 cm
Pi (π) = 3.14
Area of ball =?
The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:
A = 4πr²
A = 4 × 3.14 × 11.5²
A = 4× 3.14 × 132.25
A = 1661.06 cm²
Thus, 1661.06 cm² of synthetic leather needed to cover the ball.
A=Pe^(rt)
P = 800g
t = 8 years
A = 450g
r = This is what we will try and find to start with
450=800e^(r*8)
After running the math through a calculator, we end with r = -0.07192
Now we just re-input this information into our equation: A=800e^(-0.07192*16)
A=800e^(1.15072)
Now we will re-write the equation using the negative exponent rule:
A = 800 1/e^1.15072
Combine right side:
A = 800/e^1.15072
Then do the math:
A = 253.12709836......
That will give us A = 253 (rounded to the whole number)
I hope this helps! :)
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
