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LuckyWell [14K]

3 years ago

12

Solve for x: -2x + 11 = 23 6 -6 12 -12

1 answer:

zheka24 [161]3 years ago

3 0

Answer:

x = -6

Step-by-step explanation:

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A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of

lisabon 2012 [21]

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

First term = 65,536

$\texttt{Common ratio = }\frac{1}{2}$

Now we need to find which term is 1 in this GP.

N th term of GP is given by

$t_n=ar^{n-1}$

Substituting

$1=65536\times \left ( \frac{1}{2}\right )^{n-1}\\\\\frac{1}{65536}=\left ( \frac{1}{2}\right )^{n-1}\\\\2^{n-1}=65536\\\\2^{n-1}=2^{16}\\\\n=17$

Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

3 0

3 years ago

Given a triangle MTN, prove that

cupoosta [38]

Answer:

<em></em> $\angle m + \angle t + \angle n = 180$ <em></em>

<em></em>

Step-by-step explanation:

Required

Show that:

$\angle m + \angle t + \angle n = 180^o$

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside $\angle m$ are alternate to $\angle t$ and $\angle n$

i.e.

$\angle 1 = \angle t$

$\angle 2 = \angle n$

Using angle on a straight line theorem, we have:

$\angle 1 + \angle m + \angle 2 = 180$

Substitute values for (1) and (2)

$\angle t + \angle m + \angle n = 180$

Rewrite as:

<em></em> $\angle m + \angle t + \angle n = 180$ <em> -- proved</em>

5 0

2 years ago

Use the remainder Theorem to find the remainder for the given division. (16z^4-1)/(z+1)

Mice21 [21]

Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>

<em />

Given expression:

$\frac{16z^{4}-1}{z+1}$

In this case:

$P(z)=16z^4-1$ $z=-1$

To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:

$P(-1)=16(-1)^4-1$

Simplifying:

$P(-1)=16(1)^{}-1$ $P(-1)=16^{}-1$ $P(-1)=15$

Answer: The remainder is 15.

7 0

10 months ago

F(x) = x^2 -7x +14, g(x) = 4x -9 <br><br> Find (g ° f)(x)

adelina 88 [10]

Answer:

Set up the composite result function.

g(F(x)) Evaluate g(x2−7x+14)

by substituting in the value of F into g.

g(x2−7x+14)=4(x2−7x+14)−9

Simplify each term.

g(x2−7x+14)=4x2−28x+56−9

Subtract 9 from 56.

g(x2−7x+14)=4x2−28x+47

Step-by-step explanation:

5 0

3 years ago

Q10<br> Please help me solve this….

kondor19780726 [428]

Answer:

C. 0.23°

Step-by-step explanation:

We are given

$r=\frac{1}{32}v^{2}sin(2\theta)$

Re-arranging this equation (multiply by 32 on both sides and divide by $v^{2}$ on both sides gives us:

$\frac{32r}{v^{2}}=sin(2\theta)$ or

$sin(2\theta)=\frac{32r}{v^{2}}$

Substituting for, r and v we get

$sin(2\theta)=\frac{(32)5000}{4500^{2}}=0.00792\\\\\theta=sin^{-1}(0.0079)=0.4527\\\\\theta=\frac{{0.4527}}{2}=0.2263\approx0.23$

5 0

1 year ago