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Ronch [10]
2 years ago
9

The radius is 5 Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14

Mathematics
1 answer:
Vsevolod [243]2 years ago
6 0

Answer:

A = 78.5 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know r =5 and pi = 3.14

A = 3.14 (5^2)

A = 3.14 (25)

A = 78.5 cm^2

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Translate into an algebraic expression and simplify if possible.
Dennis_Churaev [7]

Answer:

2a + 10

Step-by-step explanation:

the number =  2(a + 5)

= 2a + 10

8 0
3 years ago
Which table represents a linear function?
aliina [53]
In each table, x increases by 1. We start with x = 0 and stop with x = 3. So we will focus on the y columns of each table as those are different.

Let's move from left to right along the four tables.

For the first table, we go from y = 1 to y = 2. That's an increase of 1
Sticking with the first table, we go from y = 2 to y = 4. The increase is now 2
Since the increase is not the same, this means the table is not linear. The y increase must be constant. We can rule out choice A

Choice B can be ruled out as well. Why? Because...
the jump from y = 0 to y = 1 is +1
the jump from y = 1 to y = 3 is +2
The same problem comes up as it did with choice A

Choice C has the same problem, but the increase turns into a decrease half the time. We go from y = 0 to y = 1, then we go back to y = 0 so the "increase" is really a decrease. We can think of it as a negative increase. Regardless, this allows us to rule out choice C

Only choice D is the answer. Each time x goes up by 1, y goes up by 2. Therefore the slope is 2/1 = 2
4 0
3 years ago
Read 2 more answers
What fomula can be used to describe the sequence? -2/3,-4,-24,-144
Lunna [17]

This is a geometric sequence with n th term formula

a_{n} = a_{1}(r)^{n-1}

where r is the common ratio and a_{1} the first term

here a_{1} = - \frac{2}{3} and

r = \frac{-144}{-24} = \frac{-24}{-4} = 6

a_{n} = - \frac{2}{3}(6)^{n-1}

or in terms of x

f(x) = - \frac{2}{3}(6)^{x-1}



5 0
3 years ago
Solve each system by elimination<br><br> 5x+y=9<br> 10x-7y=-18<br><br> -4x+9y=9<br> x-3y=-6
tiny-mole [99]
5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1

5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4

solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5

x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9

solution is : (9,5)
3 0
3 years ago
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13,
marusya05 [52]

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

7 0
3 years ago
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