find the following arc measures

Answer:

8a3

Step-by-step explanation:

volume of cube = Lcube

one side=length of cube

so

volume of cube= L3

=2a3

= 2A × 2A × 2A

The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

The given graph is wrong for the given inequality  y ≤ 3x - 2

The correct graph for the given inequality is shown below.

The given graph would be correct for the inequality

y ≥ 3x - 2.

Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

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The variable n in the original equation -2/3n = 7 + 15 is equal to -12.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable maybe pointed search is the energy.

In order to isolate the variable in the equation -2/3n = 7 + 15, the first step is to subtract 7 from each side of the equation. This results in -2/3n = 8. Next, multiply each side of the equation by 3 to cancel out the 3 in the denominator. This leaves -2n = 24. Finally, divide each side of the equation by -2 to isolate the variable n. This results in the equation n = -12. Therefore, the variable n in the original equation -2/3n = 7 + 15 is equal to -12.

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A linear clear variation is represented by the equation y = kx, in which k is the area under the curve y = mx + b and b is the zero-valued y-intercept.

The polynomial y = mx (commonly stylized y = kx), which seems referred to as a direct variation, can be obtained from the theory y = mx + b if m is a sufficiently small factor and b = 0. In other words, you may claim that y directly depends on x or that y is proportionate to x.

The standard format for presenting a direct variation is y=kx. The letters "y" and "x" are variables, and the letter "k" is a constant. Making a table will allow you to identify those ordered pairs that statisfy the example of y=2x.

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Answer:

atq= let no.be x and y

x= 4y-3.......(1)

x-2y=7....(2)

subtracting both eqn

x-x+2y=4y-3-7

2y=4y-10

-2y= -10

y=5 ........second no.

first no...x=7+2y=7+10=17.......first no.

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.

The number of student that pass mathematics is 52.

There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects. Therefore, the number of student that passes maths can be solved as follows:

U  = 100

n(S) = 68

n(M n S) = 32

n(M U S)' = 12

Let

x = number of student that pass maths

Therefore,

100 = 68 + x - 32 + 12

100 - 68 + 32 - 12 = x

x = 52

Therefore,

number of student that pass maths = 52

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Answer:

sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn

Step-by-step explanation:

Those are the corresponding words

The amount of Suzy's instalment every month if it is agreed to repay equal amount monthly is $152

Simple interest = principal × rate × time

= 4500 × 0.072 × 3

= $972

Total amount to repay = $4500 + $972

= $5472

Repayment time = 3 years

Suzy will repay every month

3 years= 12 months × 3

= 36 months

Since,

the repayment is equal every month

Amount of instalment every month= $5472 / 36

= $152

Therefore, Suzy will repay $152 each month instalmentally.

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The number of children and adults in swimming pool is 398 and 224.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;

Ax + B = 0.

We are given that;

Number of people swimming=613

Price of children=$1.75

Price of adults= $2.25

Total= $1184.75

Let, number of children be x

Number of adults be y

Now, the equations will be

x+y=613....1

1.75x+2.25y=1184.75....2

On solving both the equations

X=389, y=224

Therefore, the solution of linear equation will be 389 and 224.

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The complete question is;

on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day​

350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.

What is meant by addition?

In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.

Let the amount of meal mixed with the grain be 'x' pounds.

Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10

350*(1.40 - 1.10) = x*(1.10 - 0.80)

350*0.3 = x*0.3

x = 350

Therefore, the amount of meal that should be added to the grain is 350 pounds.

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The area of a right triangle can be found by multiplying half of the length of the base by the height.

The formula for the area of a right triangle is:

Area = (1/2) * base * height

It is important to note that the base and height must be perpendicular to each other, forming a right angle in the triangle. If the triangle is not a right triangle, then the area cannot be found using this formula.

To use this formula, simply measure the length of the base and height and plug these values into the formula. The result will be the area of the triangle, expressed in square units.

It is also worth noting that the height and base of a right triangle can be any two sides that form a right angle, not just the sides that are labeled as the base and height.

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Answer: 140

Step-by-step explanation:

Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.

Probability the player two have more lands in hand than player one is:

A) 0.0135

B) 0.102

What is probability?

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Here, we have

Given: each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand.

A ) probability of each player having four lands in their hand

Given data:

player 1 has 10 land cards

player two(2) having 20 land cards

Hence, the probability can be calculated as

= 0.0135

B) probability of player one having  two lands and player two having three lands in hand

Given data:

player one (1) has 10 land cards

player two has 20

Hence, the probability of player one having  two lands and player two having three lands in hand   can be calculated as attached below

= 0.102

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A sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units.

To find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, we can use the formula:

n = [ (z * σ) / E ]^2

where n is the required sample size, z is the critical value for the desired confidence level (95% confidence level corresponds to a z-value of 1.96), σ is the population standard deviation (given as the square root of the variance, which is √(70) ≈ 8.37), and E is the maximum error, or the maximum difference between the sample mean and population mean that we are willing to tolerate (which is given as 2.5 units).

Substituting the given values into the formula, we get:

n = [ (1.96 * 8.37) / 2.5 ]^2

n ≈ 43.48

Rounding up to the nearest whole number, we get a required sample size of n = 44.

Therefore, a sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, assuming a normal distribution with a population variance of 70.

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scores on a certain test are normally distributed with a variance of 70 . a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2.5 units.

The correct answer is 178 bottles of water sold on Sunday.

Vendor is a person or a company that sells goods or services. The term is commonly used to refer to individuals who sell items at events, markets, or street stalls. Vendors may sell a variety of products, including food, drinks, clothing, accessories, and more

If the vendor sold 405 bottles of water on Saturday, and sold 127 fewer bottles on Sunday, then on Sunday she sold 405 - 127 = 278 bottles of water.

However, the question states that she actually sold 178 bottles of water on Sunday, so the number of bottles she sold on Sunday was incorrect.

The correct answer is 178 bottles of water sold on Sunday.

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18 pattern block trapezoids would be needed to create 3 hexagons.

Pattern block trapezoids are geometric shapes used for pattern block activities.

Each hexagon is typically made up of 6 pattern block trapezoids.

To determine the number of pattern block trapezoids required to create 3 hexagons, multiply the number of hexagons by the number of trapezoids in each hexagon.

Number of trapezoids = Number of hexagons × Number of trapezoids in each hexagon

                                    = 3 × 6

                                    = 18

Therefore, 18 pattern block trapezoids would be needed to create 3 hexagons.

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The distance travelled by Rahul, if he takes 6 rounds of a square field of side = 120m is 2880 meters.

We are given that Rahul takes 6 rounds of a square field of side length 120m. To find the total distance he travels, we need to calculate the perimeter of the square field and multiply it by the number of rounds.

The perimeter of a square is the sum of the lengths of its four sides. Since the side length of the square field is 120m, the perimeter is:

4 * 120m = 480m

This is the distance Rahul covers in one round around the square field.

To find the total distance he covers in 6 rounds, we multiply the distance covered in one round by the number of rounds:

480m * 6 = 2880m

So, Rahul covers a total distance of 2880 meters.

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The first part of the trip took approximately 6.39 hours and the second part of the trip took approximately 5.84 hours.

In this problem, we are given the distance, total time, and average speeds for two parts of a plane trip.

Using the formula for average speed

Distance = average speed x time,

We can set up two equations and solve for the times spent flying at each speed.

We define t₁ as the time spent flying at 115 mph and t₂ as the time spent flying at 125 mph.

From the equation

730 miles = 115 mph x t₁,

we solve for t₁ and get

t₁ = 6.391304347826087 hours.

Similarly, from the equation

730 miles = 125 mph x t₂,

we solve for t₂ and get

t₂ = 5.84 hours.

Therefore, the plane flew at an average speed of 115 mph for approximately 6.39 hours and at an average speed of 125 mph for approximately 5.84 hours.

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Answer: r = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.

The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.

The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.

So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.

attached is solution. please excuse handwriting.

break up summation into two smaller summation,

then use summation formula for E (x)

Michael is now (B) 6 years old.

Let's start by defining variables for the current ages of Norman and Michael.

Let N be Norman's current age, and M be Michael's current age.

From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).

We also know that in 6 years, Norman will be twice as old as Michael.

So we can set up the following equation:

N + 6 = 2(M + 6)

Substituting N = M + 12 into the equation, we get:

M + 12 + 6 = 2(M + 6)

Simplifying:

M + 18 = 2M + 12

M = 6

Therefore, Michael is currently 6 years old.

Answer: (B) 6

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0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.22, 21%, 0.21, 0.22

Now,

21% = 21/100 = 0.21

So,

0.22, 0.21, 0.21, 0.22

Arranging from least to greatest.

0.21, 0.21, 0.22, 0.22

Thus,

0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.

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Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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There is only one pair of solution to the given system.

Given is the system of equations as graphed.

Therefore, there is only one pair of solution to the given system which is (1, 4).

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If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds  .

We use the formula : Work = Force × Distance to calculate the work done

where "Force" is weight of bucket filled with water and "Distance" is  height it is lifted.

The weight of bucket filled with water is =  70 pounds.

We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;

So , Force = Weight × Gravity

⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²

The distance that the bucket is lifted is = 60 feet ;

So , work required to lift bucket from bottom of well to top is :

⇒  Work = Force × Distance = 2254 lb-ft/s² × 60 ft

⇒ 135240 foot-pounds

Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.

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The given question is incomplete , the complete question is

A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.  

Compute the work required to lift the bucket from the bottom of the well to the top .

Answer:

9.9 cm

Step-by-step explanation:

The right triangle has one-half the wing span as a leg.

The hypotenuse is 5.8cm and the other leg is 3cm

If we let the unknown leg of the triangle be x, by the Pythagorean theorem we know the sum of the squares of the two legs must be equal to the square of the hypotenuse .

So

x² + 3² = 5.8²

x² = 5.8² - 3²

= 33.64-9

= 24.64

x = √24.64

= 4.96

Total wingspan = 4.96 × 2 = 9.9 cm

Answer:

Rectangle ABCD is graphed in the

coordinate plane. The following are the

vertices of the rectangle: A(5,5), B(7,5),

C(7, -1), and D(5, -1).

Given these coordinates, what is the length

of side BC of this rectangle?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.

10 *4 = 40

40 rolls total.

Answer:

40 rolls

Step-by-step explanation:

10 packs * 4 rolls per pack