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Blababa [14]
2 years ago
14

Represent the arithmetic series using the recursive formula. 94, 89, 84, 79, …

Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

Answer:

f(1)=94,f(n)=f(n-1)-5

Step-by-step explanation:

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Work out the total surface area of this hemisphere which has a radius of 8cm.
Masja [62]

\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=8 \end{cases}\implies SA=4\pi (8)^2\implies SA=256\pi \\\\\\ \stackrel{\textit{half of that for a \underline{hemi}sphere}}{\cfrac{256\pi }{2}\implies 128\pi \implies }\stackrel{\textit{rounded up}}{402.1}

4 0
3 years ago
A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in
Dafna1 [17]

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900.  Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary.  In this case, we know the average and we know all of the salaries, but two.  We can figure this out.

(7000 + 2x)/8 = 1100  multiple both sides by 8 to clear the fraction/

7000 +2x = 8800  Subtract both sides by 7000

2x = 1800  Divide both sides by 2

x = 900

3 0
2 years ago
Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point
love history [14]

Answer:C) 4.5 units

Step-by-step explanation:

4 0
3 years ago
Thelma and Louise drove 294 miles and used 14 gallons of gas. How many miles did their car get per gallon of gas?
Ann [662]
Divide 294 by 14 and you get 21. I hope it helps and that’s the answer. :)
3 0
3 years ago
Read 2 more answers
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on
Step2247 [10]

Answer:

The force is 12 N

Step-by-step explanation:

* Lets explain how to solve the problem

- Direct variation is a relationship between two variables that can

 be expressed by an equation in which one variable is equal to a

 constant times the other

- If y ∝ x , then y = kx , where k is the constant of variation

* Lets solve the problem

- The force acting on the object varies directly with the object's

  acceleration

∵ The force is F in newtons and a is the acceleration is m/s²

∴ F ∝ a

∴ F = ka

- To find k substitute F and a by the initial values of them

∵ A force of 10 N acts on a certain object, the acceleration of the

  object is 5 m/s²

∵ F = 10 N when a = 5 m/s²

∵ F = ka

∴ 10 = k(5)

- Divide both sides by 5

∴ K = 2

- Substitute the value of k in the equation

∴ F = 2a

- Lets find the force when the acceleration is 6 m/s²

∵ a = 6 m/s²

∴ F = 2(6) = 12

* The force is 12 N

5 0
3 years ago
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