Answer:
Step-by-step explanation:Solution :
Given variable = p
According to the problem given ,
Twice the variable p divided by the
product of 5 and q
= ( 2p )/ ( 5q )
= 2p/5q
I would say origin, but it's a hard choice.
Answer:
57 inches
Step-by-step explanation:
The height, width, and diagonal of the TV screen form a right triangle.
Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.
a² + b² = c²
30² + 48² = c²
900 + 2304 = c²
3204 = c²
56.6 = c
Round this to the nearest inch:
56.6
= 57
So, the diagonal of the TV screen is 57 inches
Answer:
1) B. $12
2) B. Rich burns 1 more calorie per minute than Katie
3) C. Jeffery walks 5 meters per minute slower than Fumi.
Step-by-step explanation:
1) earnings / hours = salary
salary = 24/2 = 60/5 = 96/8 = 12
salary = $12
2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.
3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.
The correct answer is C) t₁ = 375,

.
From the general form,

, we must work backward to find t₁.
The general form is derived from the explicit form, which is

. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

Using the products of exponents, we can "split up" the exponent:

We know that 5⁻¹ = 1/5, so this gives us

Comparing this to our general form, we see that

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by

, while we must state what t₁ is; this gives us