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When the expression given as 6 + √27/4 - √3 is simplified, the value is 6 - 1/4√3

The expression is given as

6 + root 27over 4 - root 3

Mathematically, the expression can be represented as

6 + √27/4 - √3

Expand 27 as the product of 9 and 3

So, we have the following equation

6 + √27/4 - √3 = 6 + √(9 * 3)/4 - √3

Expand the products in the above equation

So, we have the following equation

6 + √27/4 - √3 = 6 + √9 * √3/4 - √3

Evaluate the square root of 9 in the above equation

So, we have

6 + √27/4 - √3 = 6 + 3/4√3 - √3

Evaluate the like terms in the above equation

So, we have the following equation

6 + √27/4 - √3 = 6 - 1/4√3

Hence, the value of the expression given as 6 + √27/4 - √3 is 6 - 1/4√3

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Answer:

10 to 1

Step-by-step explanation:

if 0 went to up there 10 you'd have to

If both of these conditions are met, the canship() function will return true, indicating that all four parcels can be shipped.

weight in math is a measure of the importance or influence of an object item, or activity. It is used to compare and contrast different elements in a mathematical system, such as variables and equations. Weight is often expressed relative to other elements in the system and is used to give a numerical representation of the relative importance of the elements. For example, a variable with a higher weight would be more influential in the mathematical system compared to a variable with a lower weight. Weight is also used in probability and statistics to determine the probability of an event occurring.

function output: canship - a boolean (true/false) value indicating whether the 4 parcels can be shipped

Function canship(parcellengths, parcelheights, parcelwidths, parcelweights) {

   let girths = [];

   for(let i=0; i<parcellengths.length; i++) {

       let girth = (2 ×parcellengths[i]) + (2 ×parcelheights[i]) + (2 × parcelwidths[i]);

       if(girth > 165) {

           return false;

       }

       girths.push(girth);

   }

   for(let i=0; i<parcelweights.length; i++) {

       if(parcelweights[i] > 150) {

           return false;

       }

   }

   return true;

}

The canship() function works by looping through each of the four parcels in the arrays and calculating its girth. If the girth of any of the parcels is greater than 165 inches, the canship() function will return false. Otherwise, it will loop through the weights of all four parcels and if any of them exceed 150 pounds, the canship() function will return false. If both of these conditions are met, the canship() function will return true, indicating that all four parcels can be shipped.

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Answer:

6.3 Cubic cm

Step-by-step explanation:

\(V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}\)

The equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

The equation of a circle with center (a,b) and radius r is given by the equation:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, the equation of the circle with center (1/2, 0) and radius 2 is:

(x - 1/2)^2 + (y - 0)^2 = 2^2

Expanding and simplifying, we get:

(x - 1/2)^2 + y^2 = 4 - 1/4

Therefore, the equation of the circle is:

(x - 1/2)^2 + y^2 = 15/4

So, the equation of the circle is (x - 1/2)^2 + y^2 = 15/4.

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The volume of the solid obtained by rotating the region over the function is given by the integral and V = 44.46 units³

Given data ,

The volume of the solid obtained by rotating the region underneath the graph of the function f(x)=√x² +9 over the interval [0,2] about the y-axis

The formula for Area under definite integral is

∫ₐᵇ f ( x ) = f ( b ) - f ( a )

Since we are rotating the region about the y-axis, the radius is simply the x-coordinate of each point on the curve, or r = x

The height h of each shell is equal to the difference between the y-coordinates of the curve at x and x + Δx, or h = f(x + Δx) - f(x)

Using these expressions for r and h, we can write the volume of each cylindrical shell as:

V(x) = 2πx[f(x + Δx) - f(x)]Δx

V = ∫₀² 2πx[f(x + Δx) - f(x)]dx

As Δx approaches zero, this integral becomes:

V = ∫₀² 2πx√(1 + (f'(x))²) dx

where f'(x) is the derivative of f(x), which is:

f'(x) = x/√(x² + 9)

Substituting this expression for f'(x) into the integral, we get:

V = ∫₀² 2πx√(1 + (x/√(x² + 9))²) dx

This integral can be evaluated using a substitution, u = x² + 9, du/dx = 2x, and dx = du/2x, to get:

V = ∫₉¹³ 2π(x² + 9)^(3/2)/2 dx

V = [4/5 π(x² + 9)^(5/2)]₉¹³

V = 44.46 units³

Hence , the volume of the solid is 44.46 units³

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Answer:

The number is 4

Step-by-step explanation:

4 + 4 = 8

8 x 2 = 16

The numbers are 4, 8, and 2.

Answer:

Step-by-step explanation:

This equation is true in either case, because the expression \(\sqrt{2x} +3\) is equivalent to itself, that means the equation is true for all positive real numbers including the zero.

Therefore, the right answers are B and D, both numbers are true solutions of the expression.

Answer:

A: x=1/2  is an extraneous solution.

Step-by-step explanation:

Answer:

2x2-4x-5=0..........

Answer:

1506

Step-by-step explanation:

1255×1.2=1506 .................

By addition and subtraction the school uses 23,370 paper in total.

In mathematics, addition and subtraction are the two basic arithmetic operations where we have come to know  to add and subtract two or more numbers or any mathematical values. The symbol that represent addition is ‘+’ (plus sign) and subtraction is ‘-’ (minus sign). For example

30+65= 95 and 45-15= 30

In one year, a school uses 11,470 pieces of white paper, 3,870 fewer pieces of blue paper than white paper, and 3,300 fewer pieces of yellow paper than blue paper.

So the number of white papers = 11,470

By subtraction method

the number of blue paper = (11,470 - 3870)= 7600

By subtraction method

the number of yellow paper = (7600-3300) = 4300

By addition method

the total number of paper (11,470+7600+4300)

                                          = 23,370

Hence, the school uses 23,370 paper in total.

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Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Step-by-step explanation:

5  $

We know that points A, B and C are collinear, this mean that they are located on the same line. We are given an expression for AB and BC and the measure of AC.

Then we have:

The sum of AB and BC is 48.

We replace the expression:

Now we solve for x:

Now that we have the value of x, we can replace it in the expression for BC.

Answer: \(\sqrt{\text{x}-7}-10\)

Work Shown:

\(f(\text{x}) = \sqrt{\text{x}-6}-10\\\\f(\text{x}-1) = \sqrt{\text{x}-1-6}-10\\\\f(\text{x}-1) = \sqrt{\text{x}-7}-10\)

Explanation:

I replaced each copy of x with x-1. Then I combined like terms. Doing this will shift the graph 1 unit to the right.

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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The question that can be answered by finding the quotient of 5/6 divided by 1/20 is C. Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag. How many bags can he make?

It should be noted that the quotient is the value that is gotten when we divide the numbers given.

In this case, Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag.

The number of bags will be:

= 5/6 ÷ 1/20

= 5/6 × 20

= 100 / 6

= 17 bags

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Answer:

17 bags

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

its c

Step-by-step explanation:

The answer is C

Hope this helps

9514 1404 393

Answer:

  17 +4 = 4 +17

Step-by-step explanation:

The only expression shown here illustrates that property.

the value of the side c is √3 and h is 7.

What is Trigonometric Functions?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used in various fields such as engineering, physics, and navigation. The six fundamental trigonometric functions are sine, cosine, tangent, secant, cosecant, and cotangent. These functions are based on the ratios of the sides of a right-angled triangle. By using trigonometric formulas and identities, we can calculate the values of these functions for the perpendicular side, hypotenuse, and base of a right triangle.

tan(60)= 3/c

c = 3/tan(60)

c = 3/√3

c = √3

for 2nd

tan(45)= h/7

h = 7*1

h=7

Hence the value of the side c is √3 and h is 7.

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

tyler used is 17.04 and maria used 6.2

is 1020591 answer

The value of graph of function g (x) is,

⇒ g (x) = (x + 4)²

We have to given that;

The graph of function f (x) is,

⇒ f (x) = x²

Here, The graph of function g (x) is 4 unit left to the graph of f (x).

Hence, The graph of function g (x) is,

⇒ g (x) = (x + 4)²

Thus, The value of graph of function g (x) is,

⇒ g (x) = (x + 4)²

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The most appropriate representation for displaying and describing what is happening to the amount of hot chocolate over time is a scatter plot titled New Machine.

Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?

The most appropriate representation for displaying and describing what is happening to the amount of hot chocolate over time is a scatter plot titled New Machine with the x-axis labeled time in seconds going from 0 to 28 and the y-axis labeled hot chocolate amount in fluid ounces going from 0 to 18, with points at 4 comma 5 and 8 comma 7 and a half and 12 comma 9 and 16 comma 11 and 20 comma 13 and 24 comma 16.

A scatter plot is a useful way to show the relationship between two variables, in this case, the amount of hot chocolate and time. Each point on the scatter plot represents a pair of values for time and hot chocolate amount. A line graph with line segments connecting each point to the next would not be appropriate because the data is not continuous, and there is no reason to assume that the relationship between time and hot chocolate amount is linear.

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Answer:

x > −4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+24>12

Step 2: Subtract 24 from both sides.

3x+24−24>12−24

3x>−12

Step 3: Divide both sides by 3.

3x/3 > −12/3

x>−4

Answer:

x>−4

Hope this helps