Determine the range for the relation below

The ascending order for the given values will be 22%<1/4<3/8<38%<21/10<3 5/10 as the definition of ascending order will be "When numbers are arranged in ascending order, they are done so from smallest to largest."

When numbers are arranged in ascending order, they are done so from smallest to largest. Ascending order, also known as increasing order of importance, is the exact opposite of descending order. The order of the items is lowest to highest value. The smallest value is placed first in the order, and the biggest value is placed last. As a result, if you were to put the numbers from the previous section in ascending order, they would be as follows: 11, 20, 49, 80, 56, and so on. The first number is always the smallest, in this case 11. The last number is always the largest, in this case 80.

Here,

22%=0.22

38%=0.38

1/4=0.25

21/10=2.1

3 5/10=3.5

3/8=0.375

22%<1/4<3/8<38%<21/10<3 5/10

According to the definition of ascending order, the given values will be in ascending order as follows: 22%<1/4<3/8<38%<21/10<3 5/10 "Numbers are arranged from smallest to largest when they are arranged in ascending order."

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In order to compare the numbers, we need to check each pair of digits that are in the same position before and after the decimal point.

We start from the left to the right. If the result of one number is greater, than this number is greater than the other number. If the digits of both numbers are the same, we move to the next digit and compare them.

So we have:

Unit position: 8 and 8

Equal results, so let's check the next digit.

Tenth position: 0 and 0.

Equal results, so let's check the next digit.

Hundredth position: 1 and 3.

3 is greater than 1, so the second number is greater than the first one.

Therefore 8.012 is less than 8.03.

ANSWER:

2797.74 cubic inches

EXPLANATION:

Given:

Height of the cylinder(h) = 11 inches

Radius of the cylinder(r) = 9 inches

Pi = 3.14

To find:

The volume(V) of the cylinder

We'll go ahead and determine the volume(V) of the cylinder using the below formula;

So the volume of the cylinder is 2797.74 cubic inches

The peak of the mountain is 14, 494 ft above sea level therefore the number can be represented as follows as an integer

The mountain is plus 14,494 ab

The equation of a circle whose center is (a, b) and which has a radius r is given as:

(x - a)² + (y - b)² = r²

For the circle with endpoints at A(-2,3) and B(4,5).​

The center (a, b) of the circle is calculated as:

The center, (a, b) = (1, 4)

The diameter(D) of the circle is the distance between the endpoints A(-2,3) and B(4,5).​

The diameter of the circle = √40

Radius = Diameter / 2

r = d/2

r = √40 / 2

Substituting a = 1, b = 4, and r = √40 / 2 into the general equation of a circle:

The general equation of the circle is:

Answer:

u = -2

Explanation:

Given the expression;

7 - 6u = 5u + 29

We are to find the value of u;

Collect like terms;

-6u - 5u = 29 - 7

-11u = 22

Divide both sides by -11;

-11u/-11 = 22/-11

u = -2

Hence the value of u is -2

The solution of u in the equation is,

⇒ u = -2

Given that;

the expression is,

⇒ 7 - 6u = 5u + 29

Now, We have to find the value of u;

⇒ 7 - 6u = 5u + 29

Combine like terms;

⇒ -6u - 5u = 29 - 7

⇒ -11u = 22

Divide both sides by -11;

⇒ -11u/-11 = 22/-11

⇒ u = -2

Therefore, the value of u is -2.

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Solucionamos de la siguiente manera:

Como ya se sabe, la notación 10^3 representa miles y la notación 10^6 representa millones, por lo que al sumarles obtendremos notación de 10^6 (generalmente); aunque en nuestro caso al llevarle nuevamente a notación científica obtendremos lo siguiente:

[Otra parte de la notación científica es que esta indica cuantos valores a derecha o izquierda se "mueve" el punto.]

ANSWER

EXPLANATION

We want to find the inverse function of the given function:

To do this, we have to make x the subject of the formula.

Let f(x) be y:

Now, replace x with f^(-1)(x) and y with x:

That is the inverse function of f.

Given Data:

Total number of shoes Erica has is: t=32

The portion of high heel shoes is: r=5/8

The expression to calculate the total number of high heel shoes is,

Thus, Erica has 20 high heel shoes.

We are asked to find the reference angle for a standard angle of 334°

Recall that the reference angle is the angle that is measured with respect to the x-axis.

First, we need to find out in which quadrant the given standard angle lies.

334° lie in the 4th quadrant (180° to 360°)

So, the reference angle can be found as

Therefore, the reference angle is 26°

The complete information for the question was not provided by the student, however we can assume that the box is either to the left or to the right of the equal sign:

If it's to the left, we have:

Box + 5 = 9

Box = 9 - 5

Box = 4

If it's to the right, we have:

5 = 9 - Box

5 - 9 = - Box

-4 = - Box

4 = Box

Answer: No matter if the box is to the left or to the right of the equal sign, the number in the box that makes the equation true is 4

Answer:

m(arc)ED

Explanation:

In the diagram:

The first option is correct.

The two European nations took control of the regions in the Middle East that had been controlled by the Ottoman Empire are Britain and France.

The Ottoman Empire had long held the top position among Islamic nations in terms of geography, culture, and theology. Due to the division of the Ottoman Empire after the war, Western powers like Britain and France came to dominate the Middle East, and the modern Arab world and the Republic of Turkey were established.

The Turkish National Movement initiated opposition to these forces, but it did not extend to the other post-Ottoman states until the time of quick decolonization following World War II.

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Given data:

The total number of oranges is: 24

The total number of people is: 14

The expression to calculate the number of oranges a person has is,

Thus, each person gets 1 orange and 5/7 of an orange.

Given:

Find: the manimum value of the function.

Explanation:

ar x=-2,

the function will be

Price after discount = $14

discount = 30%

x (1-30/100) = 14

x (1-0.3) = 14

x 0.7 = 14

Solve for x (original price )

x = 14/0.7

x = 20

The first 30 ounces costs 60¢.

For every additional 10 ounces the cost increases in 35¢.

From the given 80 ounces, the first 30 costs 60¢ and the other 50 ounces, by considering it is 5 times 10 ounces, cost 5*(35¢) = 175¢.

Then, the total cost is:

total = 60¢ + 175¢ = 235¢

the statement say us the rate of winning is 3/4 then the probability is the same

but performance it on decimals

probability is 0.75

We can use the fact that the sum of angles in a triangle is 180degrees and the sine rule to find the missing angle and sides. This will give us a single unique triangle.

So the right answer is 1 triangle

We have by theorem that supplementary angles add up to 180° [The sum of both angles gives as result a straight line; then, the following is true:

So, the value of x is 29°.

ANSWER

EXPLANATION

We have that the restaurant needs at least 261 forks.

There are currently 205 forks.

First, we have to find the number of forks that the restaurant currently needs.

We do that by finding the difference between the number of forks they have from the number of forks they need:

261 - 205 = 56 forks

They need at least 56 forks.

We have that each set of forks on sale has 10 forks each.

Let the number of sets they need be x.

This means that the amount of forks they should buy must be greater than or equal to 56. That is:

That is the inequality that can be used to determine the minimum number of sets of forks Grayson should buy.

To find the values of x and z, apply the opposite angles theorem.

Opposite angles are angles that can be said to be non-adjacent angles formed by two intersecting lines.

Opposite angles are congruent.

• Measure of angle Z:

∠z and 110 are opposite angles.

Thus, we have:

m∠z = 110°

• Value of x:

Given that total measure of angles = 360

We have:

Let's solve for x:

Divide both sides by 5:

ANSWER:

x = 18

z = 110°

We are given that Alan at a constant speed of 44 miles per hour. We are asked to determine the time to travel a distance of 44 miles. To do that we will use the following formula:

Where:

Now, since we are asked to determine the time we will divide both sides by the velocity:

Now we substitute the values:

Now we solve the operations:

Therefore, the time to travel 44 miles is 1 hour.

If the new line passes through the point (-6, 2), let's use x = -6 and y = 2 in the equation and then solve it for 'a':

Therefore the value of 'a' is 5.

Explanation

The area of a portion of a circle with radius 'r' and angle 'a' (in radians) is:

In this problem r = 3m, a = 60º.

First we have to express the angle in radians:

The area of the shaded region is:

Answer

The area is:

The ratio of 8th graders in a chess club to the total number of members is 0.454545...

This is called a repeating decimal.

Let us convert this decimal into a fraction.

Step 1:

Multiply by 100

Step 2:

Subtract x

Step 3:

Finally, divide by 99

Therefore, the fraction form is

Given a rectangle of width W and length L, the area is calculated by:

A = W.L

The perimeter of the rectangle is:

P = 2(W + L)

We are given the area of a rectangle with the equation:

To find the dimensions of the rectangle, we must factor the polynomial.

It's easily done by inspection: find two numbers that added result in 14 and multiplied result in 24. Those numbers are 12 and 2, thus:

The factors are the width and the length of the rectangle (the width smaller than the length), thus:

Width = x+2

Length = x + 12

Now calculate the perimeter:

P = 2( x + 2 + x + 12)

P = 2( 2x + 14)

Perimeter = 4x + 28

Answer: C.

The cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut

Explanation:

Given the model;

where x is the number of pounds.

The cost per pound of Halibut is;

So, the corresponding number of pounds of Halibut on the model is;

Also, the cost per pound of Salman is;

the corresponding number of pounds of Salmon on the model is;

Since they are equal to each other, then the cost of x pounds of salmon is the same as the cost of x-5 pounds of halibut

__________________

Just replace in value of x in the function

f(0.1) = 100* (0.1)^2 / ((0.1)^2 + 0.17) = (1)/(0.18) = 5.56

f(0.1) = 5.56

f(0.8) = 100* (0.8)^2 / ((0.8)^2 + 0.17) = (64)/(0.81)= 79.01

f(0.8) = 79.01

_______________________

derivative of a quotient

Q(x)= f(x)/g(x)

Q'(x)= (f'(x)*g(x) - f(x)*g'(x)) / (g(x) ^2)

_____________________________

If f(x) = 100* (x^2) / (x^2 + 0.17),

f'(x)= 100 * ( 2x* (x^2 + 0.17) - 2x*x^2 ) / (x^2 + 0.17)^2

f'(x)= 100 * ( 2x^3 + 2x* 0.17 - 2x^3 ) / (x^2 + 0.17)^2

f'(x)= 100 * ( 2x* 0.17 ) / (x^2 + 0.17)^2

f'(x)= 34*x/ (x^2 + 0.17)^2

_________________________

Just replace in value of x in the function

f'(0.1)= 34*(0.1)/ (0.1^2 + 0.17)^2

f'(0.1)= 3.4/ (0.18)^2

f'(0.1)= 104.9

f'(0.8)= 34*(0.8)/ (0.8^2 + 0.17)^2

f'(0.8)= 27.2/ (0.81)^2

f'(0.8)= 41.46