Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : 
Plug in the two given points: 
Subtract the numbers : 
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
Answer:
An explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Step-by-step explanation:
Given the geometric sequence

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

Determining the common ratios of all the adjacent terms

As the ratio is the same, so
r = 4
Given that f₁ = -1/2
substituting r = 4, and f₁ = -1/2 in the nth term


Thus, an explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Answer:
50 students
Step-by-step explanation:
24% students in a clan were absent in a day .
Hence, the Percentage of students present is calculated as:.
= 100 % - 24 %
= 76%
From the question, we know that:
If 38 students were present ,what is the total strength in the clan
The total strength of the clan = Total number of students. This is calculated as:
76% × x = 38 students.
76/100 × x = 38
76x /100 = 38
Cross Multiply
76x = 38 × 100
x = 3800/76
x = 50 students
Answer:
Option c) y=
is correct
The value of y is 3
Step-by-step explanation:
Given equation is
To solve the given equation for y
(converting mixed fraction to normal fraction )
(taking LCM 25 )
(adding the terms )
(now convert fraction into mixed fraction )
Therefore y=
Option c) y=
is correct
The value of y is 3
Answer:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.