In what year did Connecticut become a separate colony from Massachusetts?

I will mark the answer with the best explanation as Brainliest!!! If anyone could help as soon as possible, I would greatly appr

dolphi86 [110]

Answer:

<h2>The second option is the correct answer.</h2>

Step-by-step explanation:

The range of a function of variable x means the set of all possible values of the function.

The function, is given by $f(x) = -1 -x, x < 0.\\f(x) = 1 + \sqrt{x} , x \geq 0.$ .

$\frac{d f(x)}{dx} = -1, x < 0.\\\frac{d f(x)}{dx} = \frac{1}{2\sqrt{x} } , x \geq 0.$ .

For x < 0, we can not find any maximum or minimum value. So, in this case we need to find the limits.

$\lim_{x \to -\infty} (-1 - x) = \infty.$ .

Here, if you notice you will see as the function's value is - 1 - x, for x<0, the ultimate value of the function for all x<0 will be greater than - 1.

So, for x < 0 all the values of the function will be > -1.

For x > 0, $\lim_{x \to \infty} (1 + \sqrt{x} ) = \infty$ .

For x = 0, the function's value will be 0.

The range of the function will be the all real numbers y > -1.

7 0

2 years ago

Cuando un poligono puede ser concavo o convexo

Verdich [7]

<span>Para que un polígono sea convexo, todos sus ángulos interiores deben ser inferiores a 180 grados</span>

4 0

2 years ago

Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y

Klio2033 [76]

$\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\ \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}$

5 0

1 year ago

I need help with this please

lesantik [10]

2 rational numbers are C. 2.777 and D. -7/3

a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers
</span>
as you know 0.7777 (7 repeat) = 7/9
so 2.777(7 repeat) = 2 7/9

4 0

3 years ago

Read 2 more answers

A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub

lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= 11/ 105.25 √1/5+ 1/10

t= 11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0

3 years ago