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4 years ago

True or false: the range of y=arcsinx is [-pi/2, pi/2]

Mathematics

2 answers:

balandron [24]4 years ago

7 0

True.

The range for arctan is all the valid Y-Values, and if you take a look at the graph you can see it caps out at pi/2 and -pi/2 for y values.

P.S. pi/2 = 1.57......

Lostsunrise [7]4 years ago

4 0

This is true. The range of Y=arcsinx is [-π/2, π/2]

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Internet providers: In a survey of 935 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet pl

BlackZzzverrR [31]

Answer:

68% of plans cost between $62.16 and $86.52.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean: 74.34

Standard deviation: 12.18

Bell-shaped is the same as normally distributed.

Estimate the number of plans that cost between $62.16 and $86.52.

62.16 is one standard deviation below the mean.

86.52 is one standard deviation above the mean.

By the Empirical rule, 68% of the measures are within 1 standard deviation of the mean.

68% of plans cost between $62.16 and $86.52.

7 0

3 years ago

A store sells candles. Each candle costs the same amount. During a sale, the store reduces the price of each candle by $1.75. Ke

umka2103 [35]

Answer:

pretty sure its 4.69

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior

SSSSS [86.1K]

Answer:

$y = \frac{2}{z} - \frac{x}{z}$

Step-by-step explanation:

Given

$x + zy = 2$

Required

Rewrite to show y-intercept

We have: $x + zy = 2$

Subtract x from both sides

$zy = 2-x$

Divide both sides by z

$y = \frac{2}{z} - \frac{x}{z}$

<em>The y intercet is: </em> $\frac{2}{z}$ <em></em>

7 0

2 years ago

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

sertanlavr [38]

The true statement about the function f(x) = -x² - 4x + 5 is that:

The range of the function is all real numbers less than or equal to 9.

<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞

For a parabola ax² + bx + c with the vertex $\mathbf{(x_v,y_v)}$

If a < 0, then the range is f(x) ≤ $\mathbf{y_v}$

If a > 0, then the range f(x) ≥ $\mathbf{y_v}$

Here; a = -1,

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

$\mathbf{x_v = -\dfrac{b}{2a}}$

Thus,

vertex $\mathbf{(x_v,y_v)}$ = (-2, 9)

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

Learn more about the domain and range of a function here:

brainly.com/question/26098895

#SPJ1

5 0

2 years ago

Omae wa sinderou nani (questions in the image btw)

Korvikt [17]

Let $a$ be the number of hours worked at Job A and $b$ the number of hours at Job B. Then

$a+b=30$

and

$7.5a+8b=234.50$

From the first equation,

$b=30-a$

and substituting this into the second gives

$7.5a+8(30-a)=234.50\implies-0.5a+240=234.50$

$\implies0.5a=5.50$

$\implies\boxed{a=11}$

5 0

3 years ago