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4 years ago

I need help on 1-8 ..

Mathematics

1 answer:

notka56 [123]4 years ago

4 0

Answer:

To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.

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Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o

faltersainse [42]

Answer:

$126\degree$

and

$126\degree$

respectively.

Step-by-step explanation:

The given trigonometric equation is

$\sin2x=3\cos2x$

We divide both sides by $\cos2x$ to get,

$\frac{\sin2x}{\cos2x}=3$

This implies that,

$\tan2x=3$

We take the inverse tangent of both sides to get,

$2x=\tan^{-1}(3)$

$\Rightarrow 2x=71.565$

$\Rightarrow x=35.7825$

$\Rightarrow x\approx 36\degree$

Since the tangent ratio has a period of $180\degree$ , another solution is

$x=180+36$

$x=216\degree$ to the nearest degree.

In the third quadrant,

$2x=180+71.565$

$\Rightarrow 2x=251.565$

$\Rightarrow x=125.7825$

$\Rightarrow x=126\degree$

The solutions are

$x=36\degree,126\degree,216\degree$

The value of x that satisfies the equation if x lies in the second quadrant is $126\degree$

The value of x that satisfies the equation if x lies in the third quadrant is $216\degree$

5 0

3 years ago

You buy a game for $40 , and the sales tax is $2 2 . What percent of the game price are you paying in sales tax?

Len [333]

.05 percent taxes if you spend 40 and 2 dollar worth of taxes

8 0

3 years ago

The Department of Motor Vehicles reports that 32% of all vehicles registered in a state are made by a Japanese or a European aut

Mandarinka [93]

Answer: C. a parameter.

Step-by-step explanation:

In statistics, a parameter is a measure ( such as population mean , population proportion... ) generated from the entire population .
A statistics is also a measure( such as sample mean , sample standard deviation , sample proportion,..) but generated from the sample taken from population.

Given : The Department of Motor Vehicles reports that 32% of all vehicles registered in a state are made by a Japanese or a European automaker.

Here, Department as considered the entire population of vehicles registered in a state are made by a Japanese or a European automaker to find the proportion.

Thus , 32% = Population proportion of vehicles registered in a state are made by a Japanese or a European automaker

So , The number 32% is best described as <u>a parameter</u>.

Hence, the correct answer is C. a parameter.

8 0

3 years ago

Which property is demonstrated in the equation 21×0=0 ?

attashe74 [19]

Property of Zero because anything multiplied by 0 equals 0. If this is right could I possibly have brainliest? Hope this helped!! :)

7 0

3 years ago

Use the graph to determine which statement describes f(x)

djverab [1.8K]

Answer:

f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A

Step-by-step explanation:

The vertical line test is used to show that the graph represents a

function or not

If the vertical line crosses the graph in more than one point, then the graph does not represent a function

If the vertical line crosses the graph in only one point in different positions, then the graph represents a function

The horizontal line test is used to show that the function has an

inverse or not

If the horizontal line crosses the graph of a function in more than one point, then the function has no inverse

If the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverse

Let us look at the given graph

→ The graph represents a parabola, which represents the function f(x)

∵ Any horizontal line drawn will cross the graph in more than one point

∴ f(x) has no inverse

∴ f(x) does not have an inverse function, because its graph fails the

horizontal line test.

6 0

3 years ago