An investment fund starts at $0 and grows at a rate of $100 per month. Another fund starts at $4000 and reduces by $720 per year
1 answer:
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The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".
Explanation:
It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)
DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,
Consequently, the first statement holds true.
Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.
Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.
The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.
Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.
The flea experiences an acceleration of 1,000 m/s².
Detailed explanation
This scenario involves motion with constant acceleration.
The relevant variables include the following.
We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.
The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.
The equation we apply is:
- a = acceleration (m/s²)
- u = initial speed = 0 m/s
- v = takeoff velocity = 1.0 m/s
- d = displacement = 0.50 mm
First, convert 0.50 mm to meters:
Solution steps:
Rearrange the formula to isolate acceleration (a).
Insert the given values into the rearranged equation.
This yields the flea's acceleration as 1,000 m/s².
Additional resources
- Scientific notation: brainly.com/question/7263463
- Determining substance mass: brainly.com/question/4053884
- Conversion into cubic units: brainly.com/question/1446243
Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion
