5600 is number 23 helps it helps
The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = 
So the shape ABCD is dilated by a scale factor of 
to produce the shape A′B′C′D′.
Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.
The standard deviation will equal 3.
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer: 1 L = 1000 mL
Step-by-step explanation:
