Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
Answer:
Question 13: For age groups y=1 and y=1.3, the response time is 8 microseconds.
Question 14: The club experienced losses between 11.28 and 4.88 years.
Step-by-step explanation:
Question 13:
The equation that gives the response rate R of 8 microseconds can be expressed as
Upon graphing this, we determine the solutions to be
We consider only positive values of y applicable in real-life scenarios.
Thus, the response is 8 microseconds solely for the age groups y=1 and y=1.3.
Question 14:
The football club incurs losses when 
Or
Graphing this inequality reveals the solutions to be
and 
As only positive values for t are relevant in practical situations, we accept the second solution.
Hence, the club faced losses during the years
Answer:
(a) 4i iterations
(b) "i × n" iterations
Step-by-step explanation:
(a) The provided algorithm segment shows:
for i:= 1 to 4, (Outer loop)
for j:= 1 to i (Inner loop)
next j,
next i
The inner loop executes i times while the outer loop completes 4 cycles.
The inner loop’s total execution when the full algorithm runs is:
= i × 4
= 4i iterations
(b) In the given algorithm segment;
for i:= 1 to n, (Outer loop)
for j:= 1 to i (Inner loop)
next j,
next i
where n denotes a set of positive integers.
<pthe inner="" loop="" also="" runs="" for="" times="" and="" the="" outer="" times.=""><pthus the="" total="" iterations="" of="" inner="" loop="" for="" entire="" algorithm="" is:="">
= i × n
= "i × n" iterations
</pthus></pthe>
Answer:
1.0 gram (rounded from.98)
Step-by-step explanation:
This is an exponential equation represented as 
, where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.
Next, with the equation 
, we can apply the value of x as 19.
Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.
Answer:
The actual pressure is 31.09
Complete question:
What is the actual pressure when Ali's gauge indicates 33.58
Step-by-step explanation:
Given,
Ali's tire pressure gauge displays a reading that is 8% higher than the true pressure.
His gauge reads 33.58.
Let the actual pressure be denoted as x.
According to the problem,
{ [If 8% increase of a number ⇒ The number becomes = 
of the number}
x= 
x=31.09
Thus, the actual pressure equals 31.09
