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tangare [24]
3 years ago
14

If v varies directly as w and v = 8 when w=1/2 find the equation that relate v and w

Mathematics
2 answers:
ruslelena [56]3 years ago
6 0

Answer:

v=16w

Step-by-step explanation:

We are given that v varies directly as w, so

v=k⋅w

for some constant, k.

To determine the value of k, substitute the known values, v=8 when w=1/2, to find that

8=k⋅12

Multiplying by 2 gives k=16, so an equation that relates v and w is

v=16w

garri49 [273]3 years ago
5 0

Answer:

v=kw. 8=k1/2

Step-by-step explanation:

Okay, so here's the equation. v=kw. Varies directly means if v rises, then w rises. If v decreases, then w will decrease. Let me know if that helps! (In case you need it, k=16.)

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A housekeeper was earning $9.50 an hour before a
Degger [83]

Answer:

raise = $0.76

new wage = $10.26 per hour

Step-by-step explanation:

8% in decimal form = 8/100 = 0.08

To find 8% of 9.50:  0.08 x 9.50 = 0.76

Therefore, the housekeeper's raise = $0.76

To calculate the amount she now earns after the raise, add the 8% rise to the initial value:

0.76 + 9.50 = $10.26

5 0
2 years ago
Help I don't get this
AleksandrR [38]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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13 and 15<br><br>solve each problem by graphing and slope intercept​
mylen [45]

Answer: The answers are 13. (A) and 14. (B).

Step-by-step explanation: The calculations are as follows:

(13) The given equations are

y=-\dfrac{3}{8}x-6,\\\\\\y=-\dfrac{13}{8}x+4.

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).

Thus, the correct option is (A).

(14) The given equations are

y=-\dfrac{1}{7}x-1,\\\\\\y=-x+5.

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).

Thus, the correct option is (B).

7 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
Name the sampling method used in each of the following situations:
elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

6 0
3 years ago
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