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Step2247 [10]
2 years ago
9

Ramesh examined the pattern in the table. Powers of 7 Value 2,401 343 49 7 1 Ramesh says that based on the pattern . Which state

ment explains whether Ramesh is correct?
Mathematics
2 answers:
earnstyle [38]2 years ago
7 0

1) You included neihter what Ramesh says nor the statements, then I can you tell some facts about the pattern.


2) The sequence is: 2401, 343, 49, 7, and 1.


3) The first term is 2401


4) The sequence is a decreasing geometric one.


5) The ratio is found dividing two consecutive terms (the second by the first, or the third by the second, or the fourth by the third, or the fifth by fourth):


1/7 = 7 / 49 = 49 / 343 = 343 / 2401.


So, the ratio is 1/7


6) The sum of that sequence is 2401 + 343 + 49 + 7 + 1 = 2801



Setler [38]2 years ago
6 0

Answer:

D. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7

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PATS, PETE AND KOFFI ANNUAL SALARIES AGGREGATE TO 200,000.00 A YEAR PETE MAKES $11000.00 MORE THAN KOFFI AND PAT MAKES $1000.00
grandymaker [24]

Answer:

Koffi's monthly salary: $3500 ($42000 annually)

Pete's monthly salary: $4416.7 ($53000 annually)

Pat's monthly salary: $8750 ($105000 annually)

Step-by-step explanation:

Let x represent Pat's annual salary

Let y represent Pete's annual salary

Let z represent Koffi's annual salary

According to the question, their annual salaries sum up to$200000 i.e. x + y + z= $200000

Pete makes $11000 more than Koffi anually means that y = $11000 + z

Pat makes $1000 less than twice (×2) of Pete's annual salary i.e. x = 2y - $1000

Hence, we have 3 equations:

(1)..... x + y + z= $200000

(2).... y = $11000 + z

(3).... x = 2y - $1000

First, we substitute y into equation (3) i.e.

x = 2(11000 + z) - 1000

x = 22000 + 2z - 1000

x = 21000 + 2z............ (4)

We then insert equations (4) and (2) into equation (1) to get z:

x + y + z = 200000

21000 + 2z + 11000 + z + z = 200000

4z + 32000 = 200000

4z = 200000 - 32000

4z = 168000

z = 42000

Hence, z (Koffi's) annual salary is $42000.

To get y, we substitute z in equation (2).

y = 11000 + z

y = 11000 + 42000

y = 53000

Hence, y (Pete's) annual salary is $53000

To get x, we add $42000 with $53000, and subtract from $200000 i.e. 42000 + 53000 = 95000

200000 - 95000 = 105000

Hence, x (Pat's) annual salary is $105000.

In order to get the monthly salary of each individual, we divide their annual salary by 12:

Koffi (z) = 42000/12 = $3500

Pete (y) = 53000/12 = $4416.7

Pat (x) = 105000/12 = $8750

4 0
1 year ago
The energy transfer diagram represents the energy of a person diving into a pool. A wide arrow labeled gravitational potential e
Citrus2011 [14]

Answer:

The amount of thermal energy that is generated is 1000 joules.

Step-by-step explanation:

Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:

U_{g} - K - Q = 0

Where:

U_{g} - Gravitational potential energy, measured in joules.

K_{tr} - Translational kinetic energy, measured in joules.

Q - Thermal energy, measured in joules.

The thermal energy is now cleared:

Q = U_{g}-K

Given that U_{g} = 8000\,J and K = 7000\,J, the amount of thermal energy that is generated is:

Q = 8000\,J - 7000\,J

Q = 1000\,J

The amount of thermal energy that is generated is 1000 joules.

3 0
1 year ago
Read 2 more answers
En la ferretería "Colima" por cada $ 150.00 de compra te regalan 4 boletos para participar en un sorteo navideño y en la "Jeroma
GrogVix [38]

Answer:

"Jeromar" give away more tickets

Step-by-step explanation:

What we must do is calculate the amount to which a ticket is equivalent, to do this, the value of the purchase must be divided by the number of tickets they give away, as follows:

"Colima"

150/4 = 37.5

In other words, they give away 1 ticket for $ 37.50

"Jeromar"

100/3 = 33.33

In other words, they give away 1 ticket for $ 33.33

Which means that "Jeromar give away more tickets, because the cost of the ticket is lower

7 0
2 years ago
0.00093721 to 2 significant figures
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Answer:0.00094

Step-by-step explanation:

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Driving across country, mike drove for 3 hours at a certain rate and for 4 hours at a rate 10 mph faster. If his total distance
Agata [3.3K]

Answer:

65 mph

Step-by-step explanation:

Let x mph be Mike's slower rate, then his faster rate is x+10 mph.

1. Mike drove for 3 hours at a slower rate, thus he drove

x\cdot 3=3x\ miles

2. Mike drove for 4 hours ar a faster rate, so he drove

(x+10)\cdot 4=4x+40\ miles

3. In total he drove 495 miles. Hence

3x+4x+40=495\\ \\7x=495-40\\ \\7x=455\\ \\x=65\ mph

5 0
2 years ago
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