8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .

Given:

The inequality is:

[tex]y<\sqrt{x+3}+1[/tex]

To find:

The domain and range of the given inequality.

Solution:

We have,

[tex]y<\sqrt{x+3}+1[/tex]

The related equation is:

[tex]y=\sqrt{x+3}+1[/tex]

This equation is defined if:

[tex]x+3\geq 0[/tex]

[tex]x\geq -3[/tex]

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

[tex]\sqrt{x+3}\geq 0[/tex]

[tex]\sqrt{x+3}+1\geq 0+1[/tex]

[tex]y\geq 1[/tex]

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

Answer: No solution

Step-by-step explanation:

Given

Pair of lines are

[tex]\Rightarrow y=-2x-6\ \text{and}\ y=-2x+35[/tex]

For lines [tex]a_1x+b_1y+c_1=0\ \text{and}\ a_2x+b_2y+c_2=0[/tex]  will be parallel when

[tex]\Rightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]

Rewrite the given lines

[tex]y+2x+6=0\ \text{and}\ y+2x-35=0[/tex]

[tex]\Rightarrow \dfrac{2}{2}=\dfrac{1}{1}\neq\dfrac{6}{-35}\\\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}\neq\dfrac{6}{-35}[/tex]

Thus, the given lines are parallel. Therefore, there is no solution for the givebn pair of lines.

Answer:

From a glance, -1.67 is the answer.

Step-by-step explanation:

You have a higher probability of losing money than gaining it due to the distribution of probability. Aka: there are more chances to lose than win. As a result, you are expected to lose money. Only -1.67 is the only negative option, which means that we dont even need to do real math since there's already only one choice.

The correct answer is option B which is  -1.67 is the answer.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

You have a higher probability of losing money than gaining it due to the distribution of probability.  

There are more chances to lose than win. As a result, you are expected to lose money. Only -1.67 is the only negative option, which means that we don't even need to do real math since there's already only one choice.

Therefore the correct answer is option B which is  -1.67 is the answer.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

[tex]\bar{x}=14[/tex] and use this to find the variance in the formula:

[tex]s^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex] it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

[tex]s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}[/tex]

Squaring this ensures us that we don't end up with zero, which would be useless.

[tex]s^2=\frac{36+4+1+9+16}{5}[/tex] so

[tex]s^2=13.2[/tex] which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

Answer:

90%

Step-by-step explanation:

63/70 = 0.9 = 90%

Answer:

63 out of 70

63×10÷70=9

9%

Answer:

50

Step-by-step explanation:

Answer:

1 ) - 0.04

2 ) 1

3 ) - 0.04

4 ) Less of 0.04 gallons of fuel for every 1 mile.

0 = (x-8)^2 -100

Add 100 to both sides

100 = (x-8)^2

Take the square root of both sides

10 = (x-8)

Remove the parentheses

10 = x-8

Add 8 to both sides

18 = x

Answer: x = 18

Answer:

OAmalOHopeO

Answer:

I believe its (-3,-2)...........

Step-by-step explanation:

Answer with explanation is in the attachment

Hope it is helpful to you

Answer:

The answer is 2736 cm³

Answer:

What is the volume of this right triangular pyramid?

 2736 cm³

5472 cm³

8208 cm³

16,416 cm³

Answer:

Its your answer ......

hope it will help u

Answer:

Horizontal line

Step-by-step explanation:

uehdjd

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the adjacent side. Therefore, we should use the tangent function.

tan(x) = 19 / 35

x = tan^-1(19/35)

x = 28 degrees

Hope this helps!

Answer: B and C

Step-by-step explanation:

the triangle inequality theorem states that any 2 sides of a triangle must be greater than the measure of the third side. now with this rule, let's apply it to all options!

option a:

7 + 5 > 6 .. yes!

6+ 7 > 5 .. yes!

5 + 6 > 7 .. yes!

option b:

9 + 12 > 19 .. yes!

12 + 19 > 9 .. no!

19 + 9 > 12 .. no!

option c:

7 + 11 > 18 .. no!

11 + 18 > 7 .. no!

18 + 7 > 11 .. yes!

option d:

6 + 8 > 11 .. yes!

8 + 11 > 6 .. yes!

11 + 6 > 8 .. yes!

i did this topic years ago so please let me know if there are any mistakes! hope this helped, and good luck! ◝(ᵔᵕᵔ)◜

Answer:

11.925

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-3/4m - 1/2 = 2 + 1/4m

The denominators are 4 and 2

If we multiply by the least common multiply we can get rid of the fractions

2 and 4 have a least common multiple of 4

Answer:

3x - y = 1

Step-by-step explanation:

The first two options in the question parallel the equation making it no solution and the last option is intersecting the equation which is making it only one solutionn

Therefore our answer is 3x - y = 1

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

[tex]( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} [/tex]

LHS:

[tex] (\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2} [/tex]

~ Insert "2" instead of "x".

[tex] (\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} [/tex]

Simplify it;

[tex] \frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2} [/tex]

Therefore; (f/g)(2) = 7/4.

RHS:

[tex] \frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2} [/tex]

~Insert "2" instead of"x".

[tex] \frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} [/tex]

Simplify it.

[tex] \frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2} [/tex]

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

Step-by-step explanation:

Soo :

[tex] \tt( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} [/tex]

[tex] \tt( \frac{ {x}^{2} + 2x - 1 }{3x - 2} )(2) = \frac{ {2}^{2} + 2(2) - 1 }{3(2) - 2} [/tex]

[tex] \tt( \frac{ {2}^{2} + 2(2) - 1}{3(2) - 2} )= \frac{7}{4} [/tex]

[tex] \boxed{ \tt \frac{7}{4} = \frac{7}{4} }[/tex]

Soo true.

9514 1404 393

Answer:

  √20 is not the root of a perfect square

Step-by-step explanation:

4.2^2 = 17.64

4.5^2 = 20.25

The square root of any number between these values that is not a perfect square will be irrational. This includes the roots of the integers 18, 19, or 20.

  4.2 < √20 < 4.5

  √20 ≈ 4.472135954999579...

_____

Of course, there are an infinite number of possibilities. It is easy enough to check to see if a rational number is a perfect square. (Its square root will have half as many decimal digits.) For example, √18.9225 is 4.35 (rational), but √18.9226 ≈ 4.350011494... is irrational.

Square roots are not the only irrational numbers. Polynomial roots, trig function values, logarithms, exponential functions are only some of the ways that irrational numbers can be specified, along with multiples or other combinations of irrational numbers such as π or e. These will be irrational simply because they cannot be expressed exactly as the ratio of two integers.

Answer: it’s 111

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Given :

The number of the observations in the population is N = 400

There is a [tex]10\%[/tex] rule of assuming the independence.

Now, according to the rule, if we sample without replacement then, any sample of sizes less than or equal to [tex]10\%[/tex] of the population is considered independent.

[tex]10\%[/tex] of population = [tex]10\%[/tex] of 400

                              [tex]$=\frac{10}{100} \times 400$[/tex]

                             = 40

Any sample of sizes less than or equal to 40 will be independent for the given population if it is sampled without replacement.

So, the answer is 40.

So, Mark have a sample of 40 students without replacement to treat the observations as independent.

Answer: 40

Step-by-step explanation:

Answer:

Elisa return in time. :)

Step-by-step explanation:

It is given that the bathtub is 17 inches deep.

The water fills the tub at a rate of 3 inches of water for every 5 minutes.

Elisa spent 26 minutes with neighbor.

Let's find whether the tub overflow or did she return in time.

In 5 minutes  water filled is 3 inches

In 10 minutes water filled is 6 inches

In 15 minutes water filled is 9 inches

In 20 minutes water filled is 12 inches

In 25 minutes water filled is 15 inches

In 26 minutes water filled in is 15+1/3 inches , which is same as 15.33 inches.

But the deep of tub is 17 inches.

We could say, she return in time.

Answer:

i think its 24

Step-by-step explanation:

2=2

Answer:

-4.1

Step-by-step explanation:

Answer:

x = 52

y = 19

Step-by-step explanation:

The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,

142 + (unknown angle) = 180

unknown angle = 38

The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

(2)(unknown angle) = (surrounding arc)

(2)(38) = (surrounding arc)

76 = surrounding arc

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

m<O = (surrounding arc)

m<O = 76

The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:

m<O + x + x = 180

76 + 2x = 180

x = 52

Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:

(x + 19) + (x + y) + (38) = 180

52 + 19 + 52 + y + 38 = 180

161 + y = 180

y = 19

x=52°

y=19°

Answer:

Solution given:

<OCA=19°[base angle of isosceles triangle]

Since ∆AOC is similar to ∆ BOC

y=19°[corresponding angle of a similar triangle are equal]

<OAB=<OBA=x[base angle of isosceles triangle]

again

<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

x+19+x+19=142°

2x=142°-38°

x=104/2

x=52°