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2 years ago

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? A.6 B.18 C.30 D.36

Mathematics

1 answer:

ch4aika [34]2 years ago

7 0

180 is 6x larger than 30, and 30 is 6x larger than 5. so y is 6x larger than x, and n is 30

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What is the value of x? Enter your answer in the box. units

Arte-miy333 [17]

Check the picture below.

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3 years ago

A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa

tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= $^{13}C_{6}$

= $\frac{13!}{(6!)(13-6)!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}$

= $\frac{1235520}{720}$

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0

2 years ago

Please answer this question ASAP

Vilka [71]

Answer:

First, second, third, and fourth are functions

Step-by-step explanation:

Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.

(answered this on your other question, but I will put it here too!)

Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.

(respondí esto en tu otra pregunta, ¡pero también lo pondré aquí!)

3 0

2 years ago

Simplify the difference quotient f ( x + h ) â f ( x ) h for the function f ( x ) = 6 x â x 2

ladessa [460]

Answer:

final answer is 6

Step-by-step explanation:

Given $f(x)=6x-2$

To find the difference quotient use formula

$\frac{f(x+h)-f(x)}{h}$

$f(x)=6x-2$

$f(x+h)=6(x+h)-2=6x+6h-2$

Now plug it in the formula

$\frac{f(x+h)-f(x)}{h}$

$\frac{6x+6h-2-(6x-2)}{h}$

$\frac{6x+6h-2-6x+2)}{h}$

$\frac{6h}{h}$

5 0

2 years ago

AND THEN ONCE U HAVE THE ANSWER <br>FIND THE LENGTH OF AC

Vadim26 [7]

Answer:

AC=18

Step-by-step explanation:

To find AC, use the Pythagorean Theorem. Since the longest side (hypotenuse) is known, instead of a²+b²=c², the equation will be c²-a²=b². 12²-8²=b²

144-64=b²

80=b²

√80=√b²

8.94427191=b

That is for one of the two right triangles that make up the tent. Since there are 2 triangles, 8.94427191 only equals BC or AB. So, multiply 8.94427191×2=17.88854382 to find the length of AC.

AC= 18

6 0

2 years ago