Hello Everybody? Please solve my question:


x^2 + 2 = 4

What is x?

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

To construct a square inscribed in a circle we will follow the next steps:

Step 1. Construct a circle and label its center point O:

Step 2. Now, we use a straightedge to draw a diameter with end-points A and B:

Step 3. We construct a perpendicular line to the diameter with endpoints C and D:

Step 4. We join the points:

And thus we get the square inscribed in a circle.

Answer:

a)

We know that:

a, b > 0

a < b

With this, we want to prove that a^2 < b^2

Well, we start with:

a < b

If we multiply both sides by a, we get:

a*a < b*a

a^2 < b*a

now let's go back to the initial inequality.

a < b

if we now multiply both sides by b, we get:

a*b < b*b

a*b < b^2

Then we have the two inequalities:

a^2 < b*a

a*b < b^2

a*b = b*a

Then we can rewrite this as:

a^2 < b*a < b^2

This means that:

a^2 < b^2

b) Now we know that a.b > 0, and a^2 < b^2

With this, we want to prove that a < b

So let's start with:

a^2 < b^2

only with this, we can know that a*b will be between these two numbers.

Then:

a^2 < a*b < b^2

Now just divide all the sides by a or b.

if we divide all of them by a, we get:

a^2/a < a*b/a < b^2/a

a < b < b^2/a

In the first part, we have a < b, this is what we wanted to get.

Another way can be:

a^2 < b^2

divide both sides by a^2

1 < b^2/a^2

Let's apply the square root in both sides:

√1 < √( b^2/a^2)

1 < b/a

Now we multiply both sides by a:

a < b

8/8 6/8 so your going to take 2 from 8/8 so that would be 6/8

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

D.  y = arccosx and y = arcsecx

Step-by-step explanation:

got it right on edge :)

Answer:

The trigonometric function which have the same maximum value is:

y = arcsinx and y = cos x

Concept:

What are Inverse trigonometric functions?

Inverse trigonometric functions are represented as arcsinx, arccosx, arcsecx, and so on.

The trigonometric functions that are used to calculate an angle from any of the angle's trigonometric ratios are called inverse functions.

The formula which is used to in inverse  trigonometric equations are:

arcsinx = -arcsinx

arccosx = pi-arccosx

arctanx = -arctanx

arcsecx = pi - arcsecx

Solution:

The maximum values we obtain from the following equations are:

arcsinx = -1 to 1

arccosx = -1 to 1

arctanx = -pi/2 to pi/2

arcsecx = ∞

So the trigonometric functions which have the same maximum value is arcsinx and arccosx.

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SOLUTION

From

So the x-intercepts are the roots of the equation, which is -2 or 4

Since x = -2 or x = 4

Now let's find the y-intercept

Since x-square is positive, there is a minimum value, that is there is a lowest point

We find the lowest point by finding the derivative of y with respect to x

So the lowest value for y is

So, the lowest value of y = -9

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

(0,3.5)

Step-by-step explanation:

midpoint formula :)

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

-3

Step-by-step explanation:

wathway lol look it up gives u all the answers.

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

its a triangle no? just  3D

Answer:

131 is the weight of the lightest person in the group

Step-by-step explanation:

Stem                Leaves

13                     1 1 2 2 4 4 6

14                     3 6 6 7 8 9

15                     0 1 4 5 5 7

16                     2 5 5 6 8 9

17                       2 2 7 8

18                    0 2 4 5 5 7 8

19                    1 2 2 3 4

20                   3 5 5

21                    1 2 6 6 6 8

131 is the weight of the lightest person in the group.

If we look closely the stem has the 13 as the lowest number. And corresponding to it the least number is 1.

Therefore the lightest weight person is 131 .All other weights are greater than 131 e.g 132 , 134 and 136 .

The data shows there are 131 ,131, 132,132,134,134, and 136 weights in the least weight group. So out of these 131 is the smallest.

The equation of the line which passes through (4, 1) in slope - intercept form is y = 1/2x - 1

The equation of a line takes the form:

y = Slope (x) + y - intercept

The slope is already given as 1 / 2 and we have a point on the line. This point can be substituted into the equation of a line to find the value of the y - intercept.

y = Slope (x) + y - intercept

1 = 1/2 (4) + y - intercept

y - intercept = 1 - 2

y - intercept  = - 1

The equation of the line will then be:

y = 1/2x - 1

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Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

Answer:

the line just goes straight up the y-axis. so, place your dot at -3 and draw the line straight up

Step-by-step explanation:

The line is shifted downward by 3 units from the x-axis, and the slope of the line is zero. The intercept of the line is at (0, -3).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

y = –3

The line y = –3 is parallel to the x-axis.

The slope of the line is zero.

The line is shifted downward by 3 units from the x-axis.

The intercept of the line is at (0, -3).

The graph of the line y = –3 is given below.

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Answer:

M=30 degrees

because 102+148=150 and 180-150=30. (remember the sum of a triangle is 180 degrees)

the congruence statement would be SAS (side angle side) because 102 and 48 are the same in both triangles, but the third side is not the same.

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Answer:

6

Step-by-step explanation:

7×6=42 so 6 is x so this is your answer

Answer:

-6 or 6

Step-by-step explanation:

7x|x|=42 (divide both sides)

|x|=6 (separate into possible cases)

x=6

x=-6  (the equation has two solutions)

hope this helps!

Answer:

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

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Steps are in the attachment.

________

Hope it helps :)) ⚜

Given:

The top of a ladder rests at a helght of 15 feet against the side of a house.

So, h = 15 feet

And the base of the ladder is 6 feet from the house

so, b = 6 feet

We will find the length of the laddar, let the length of the ladder = x

So, the three sides h, b, and x form a right-angle triangle

Where the hypotenuse = x

We will use the Pythagorean theorem to find (x) as follows:

Rounding to the nearest foot.​

so, the answer will be option C. 16 feet

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Step-by-step explanation:

1. 1/9 of 450

of is multiply

1/9 × 450

= ???

2. 15/60 = decimal number

change number to percentage = ???

I dont know what 3 is

put answers to 1 and 2 in comments i will mark if u don't understand comment

please mark brainiest