Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
Answer:
78.5%
Step-by-step explanation:
The area of the square is equal to diameter squared
i.e 4 in × 4 in = 16 square inches
The area of the circle is π × r²
i.e π × 2² = 12.56637061
The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100
i.e
× 100 = 78.53981631%
And is equal to 78.5% (rounded up to the nearest tenth of a percent)
Yes I would say. if I am wrong I am sorry