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3 years ago

Do any three points not on the same line always, sometimes, or never determine a plane? Explain

Mathematics

1 answer:

iVinArrow [24]3 years ago

6 0

Answer:

always

Step-by-step explanation:

There is exactly one plane through any three non-collinear points.

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Then value of gold is appreciating 18% every hour you were lucky enough to have gold coin which was worth $40 at the beginning o

Zepler [3.9K]

Answer:

The equation is $y=40(1.18)^{x}$

Step-by-step explanation:

The exponential growth equation is $y=a(1 + r)^{x}$ , where

a is the initial value (value y at x = 0)
r is the rate of increasing in decimal

∵ The value of gold is appreciating 18% every hour

∴ r = 18%

∵ 18% = $\frac{18}{100}$ = 0.18

∴ r = 0.18

∵ The gold coin was worth $40 at the beginning of the crisis

∴ The initial amount is $40

∴ a = 40

∵ y represents the value of the gold after x hours

∴ $y=a(1+r)^{x}$

- Substitute the values of a and r in the form above

∴ $y=40(1+0.18)^{x}$

∴ $y=40(1.18)^{x}$

The equation is $y=40(1.18)^{x}$

7 0

3 years ago

Use a positive or negative number to represent a stock market loss of $1,500.

Natasha_Volkova [10]

Answer:

negative

Step-by-step explanation:

negative because you are losing something

7 0

2 years ago

Solve this I'll give brainliest plz look at the picture

Diano4ka-milaya [45]

Answer:

answer is B

Step-by-step explanation:

the number that 10% of 20 is coming from 200 so 23% of 200 is 46

8 0

2 years ago

there are 10 marbles, 2 yellow, three pink, and 5 black What is the probability of drawing two blue marbles if the first one is

Schach [20]

Answer:

I think 15% im sorry if this is wrong

3 0

2 years ago

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

2 years ago