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Kobotan [32]
3 years ago
14

What is a counter example to the conjecture: all balls are spheres?

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
All balls are circles
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When testing for current in a cable with eight ​color-coded wires, the author used a meter to test five wires at a time. How man
balu736 [363]

Answer:

56 different tests

Step-by-step explanation:

Given:

Number of wires available (n) = 8

Number of wires taken at a time for testing (r) = 5

In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.

So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:

^nC_r=\frac{n!}{r!(n-r)!}

Plug in the given values and solve. This gives,

^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56

Therefore, 56 different tests are required for every possible pairing of five ​wires.

6 0
3 years ago
I need help with the the answer
kap26 [50]

Step-by-step explanation:

We can write

X=-2,-1,0,1,2

And the equation is y=3x+4-------(1)

First we should be put all the value in equation (1)

y=2,1,4,7,10

And the answer will

(x, y) ={ (-2,2),(-1,1),(0,4),(1,7),(2,8)}

8 0
2 years ago
Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y
Mashcka [7]

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

Read more on logarithm laws;

brainly.com/question/10208274

#SPJ1

4 0
2 years ago
During a football game, a team lost 12 yards on the first play and then gained 5 yards on each of the next 3 plays. Which method
agasfer [191]
-12 + 5(3) = total yards at the end

So your answer would be 3 yards
6 0
3 years ago
Read 2 more answers
6x - 2y = 26<br><br> 2x + 3y = 5<br><br> Solve for X and Y
Softa [21]

Answer:

y is equal to -1

x is equal to 4

Step-by-step explanation:

The first thing you would do is multiply the bottom equation by a negative 3. You will get - 6x - 9y = -15. Keep the top equation the same. Both of the 6x's cancel. You then get -11y = 11 so y is equal to negative 1.

Since you have Y, you can now plug that in to any equation to find the value of x. -6x - 2(-1) = 26. You're left with 4. Plug both of the values into each equation to double check.

7 0
3 years ago
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