what numbers do you need to determine the surface area of a right cone?; what numbers must you know to find the surface area and volume of a sphere?; find the volume of the sphere with a great circle of radius 7 cm.; given a regular pentagon with radius 5, and each side of length 6, find the area of the pentagon.

The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:

Dollar Amount      Percentage

                              % off the

                         original amount

$75                         25%

2. The coupon gives Terese 25% off the original amount.

3. The amount Terese paid for the jeans (before tax) was $56.25.

4. The number of yellow candies in the bag is 15.

5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.

6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.

Cost of a pair of jeans = $75

Coupon value = $18.75

Amount paid = $56.25

The coupon percentage = 25% ($18.75/$75 x 100)

Yellow candy = 25%

The total number of candies in the bag = 60

The number of yellow candy = 15 (60 x 25%)

The total number of questions = 35

The number of questions answered correctly = 27

Percent scored by Blair = 77% (27/35 x 100)

The amount of money Louis has = $110

The percentage of Louis' money that Jeffry has = 60%

The amount Jeffry has = $66 ($110 x 60%)

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The chi-square test is 5.02 higher than critical value 3.841 so the two states does not differ with regards of shopping habits, and p value is 0.025.

O = observed value

E = expected value

n = size of sample = 2

df = degree of freedom = n - 1 = 2 - 1

α = significance level = 5% = 0.05

Chi-square is a one of many test statistic, chi-square is a test to see the different from observed value and expected value.

Chi-square formula is,

[tex]\chi^2[/tex] = [tex]\sum\frac{(O_i - E_i)^2}{E_i}[/tex]

Since, in question only give us the observed value, we need to calculate the expected value first.

Expected value conscientious state A can be calculate by this formula

E(ca) = total of state A value × total of conscientious value ÷ grand total

Repeat this process to all observed value.

We use excel to simplified and for precise calculation. Then, we put the obtained value from excel formula to Chi-square formula,

[tex]\chi^2[/tex] = 0.69 + 1.69 + 0.76 + 1.88

= 5.02

a) Critical value for df = 1 and α = 0.05 from chi-square table is 3.841

Since, the result is 5.02 higher than 3.841, it can be concluded that the two states does not differ with regards of shopping habits.

Assumptions for we use is the study group is independent and the each expected value is higher than 5.

b) We use chi-square p-value calculator with P([tex]\chi^2[/tex] > 5.02) and df = 1, α = 0.05. So, we get 0.025.

Thus, two states doesn't differ with regards of shopping habits since chi-square result is higher than critical value, and p value is 0.025.

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The Area of the given sector is 14.1 yd²

Define Sector of a Circle

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Given,

radius = 6 yd

Angle θ = 45°

The formula for,  Sector Area = (θ / 360°) * πr²

Now, plug in the values

Sector Area = (45 / 360) * 3.14 * 6²

                    = 14.1 yd²

Hence, the Area of the given sector is 14.1 yd²

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Answer: 4.5

Step-by-step explanation:

sector area = 4.5 on 14.143 yd ^2

The chocolate bar costs 9 cents. The little girl is missing 10 cents and the little boy is missing 1 cent, so together they are missing 11 cents.

Cost is a monetary measure of the amount of resources, such as time or money, that must be expended to produce a product or service. It is a fundamental factor of economic production, as it is necessary to make products and services available to consumers. Cost can be determined in a variety of ways and can be linked to economic theory through the concept of opportunity cost. In business, cost is a major factor in decisions related to production, pricing, and marketing. Cost is also a factor in accounting and budgeting, as it is necessary to track and report the costs of organizational operations.

The chocolate bar costs 9 cents. The little girl is missing 10 cents and the little boy is missing 1 cent, so together they are missing 11 cents. If the chocolate bar cost 9 cents, that would leave 1 cent for them to split.

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The probability that one of the following numbers is rolled is 0.135.

We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.

The formula to be used for calculation of probability to roll any one number on the dice -

Probability = number of favourable outcomes ÷ total number of outcomes

Keep the values in formula

Probability = 1/37

Now, for the mentioned five numbers among which any can be rolled, the probability is -

Probability = 5 × (1/37)

Performing multiplication

Probability = 5/37

Performing division

Probability = 0.135

Hence, the probability is 0.135.

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Answer: the best estimate could be 20 liters

Step-by-step explanation: it is 20 liters because 1 liter is = 264 gallons so we round up the number and then use regular estimate methods.

Answer:

15 liters

Step-by-step explanation:

4 gal  /  .264 gal / liter   = 15.15 liters  = ~ 15 liters

Answer:

2.1 cm

Step-by-step explanation:

All the sides of a cube are equal.

let x = side of a cube

Volume of a cube = x³

Therefore x = [tex]\sqrt[3]{9.261}[/tex] = 2.1 cm

Answer:

30/4+5•3-9

= 7.5+15-9

= 22.5-9

= 13.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we know the general circle equation is in the form

x^2 + y^2 = r^2, where r is radius

Now we are given the information that circle has the origin (0,0) and pass through point (-11,0), which mean the radius is 11 units.

Now we can write the circle equation as

x^2 + y^2 = 11^2

Answer:

the equation for the circle is:

X² +Y² = 11² = 121

Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.

In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.

Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.

We have to check who is correct.

Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.

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The right question is:

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.

Answer:

Step-by-step explanation:

1. Inequality will switch

2. Inequality will stay the same

3. Inequality will stay the same

4. Inequality will switch

with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.

Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.

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Answer:

Below

Step-by-step explanation:

At  B   (  40 mins)  and  D (30 mins)   he is not moving....visiting .

The width of A is the time it took to get to first house = 20 mins

The width of C is t the time to get to second house = 60 to 70 = 10 mins

Riding toward home at C and E  ( the distance...the y-value....is getting less)

He is fastest where the line has greatest slope...where it is steepest =  C

He was away from home the width of the graph = 115 mins

The trade this country will import is given by the option (C) 300 pair of shoes.

The number of shoes exported will be calculated by the formula -

Import = quantity demanded - quantity supplied. The formula is based on the concept that the import of shoes will be carried out once the manufacturing is more than the demand.

The graph indicates the quantity demanded is 1000 and the quantity supplied is 1300. Keep the values in formula to find imports.

Imports = 1300 - 1000

Performing subtraction on Right Hand Side of the equation

Imports = 300

Hence, the import is 300.

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The complete question is attached in figure.

a) The function C(x) for the cost of the materials for the pen in terms of x

is : c(x) = 24x+(28800/x)+20

b)  the dimensions of the pasture that minimize cost is:

x = 24.62 and y = 69.28

c) minimum cost for Mr. Fishman to build this Ilama pen is $1682.77

a) Perimeter of fence = 2x+y

∴ cost of fencing = 12(2x+y)

also cost of poses corner house = 4×5 = 20

∴ Total cost of pen = 24x+!2y+20

But area of the pen = 2400

xy = 2400

y = 2400/x

Putting 1 in total cost c(x)

= 24x+{(12×2400)/x}+20

c(x)= 24x+{28800/x}+20

b) we need to minimize c(x)

using the graphical calculator we obtain

That x = 34.61

x = 34.61 & y = 2400/34.61 = 69.28

c) Minimum value of c(x) = c(34×64) = boxed 1682.77

Minimum cost for Mr. Fishman to build this Ilama pen is $1682.77

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$9.86 , Kendra donates to the charity.

Kendra worked 8 hours and 30 minutes last week

She earns $ 11.60 per hour

She will earn money if she works for 30 minutes = $(11.60÷2)

Therefore,

Total amount of money she earns last week = $((11.60×8) + (11.60÷2))

                                                                            = $(92.8+5.80))

                                                                            = $98.6

Kendra donates 1/10th of the total money she earns in a week

Therefore,

Amount she donate last week = total amount she earns last week * 1/10

= $(98.6*1/10)

= $9.86

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Answer: 792 Combinations

Answer:

somone in my class is literally a new York rat

Step-by-step explanation:

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =[tex]\int\limits^5_2[/tex][(-4/5)x+5 - (-7/2)x + 5)dx  + [tex]\int\limits^5_1[/tex][(-4/5)x+5 -(x-4)]dx

=>area=[tex]\int\limits^5_2[/tex](7/2-4/5)x dx + [tex]\int\limits^5_1[/tex]((-9/5)x+9)dx

Using properties of integration,[tex]\int\limits x\, dx=x^{2}/2[/tex]

=>area=[tex]\int\limits^5_2[/tex](27/10)x dx + [tex]\int\limits^5_1[/tex](-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

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72 mph = 105.6 ft/second

In order to convert any value from mph the following formula can be referred to:

speed in miles per hour x  5,280 = speed in foot per second

Therefore when 72 miles per hour is converted to foot per second would equal to the following value:

105.6 feet per second

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If the owner's beliefs are correct,  Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

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Answer:

Yes

Step-by-step explanation:

y-8= -8(x-2)  ==> solve for y

y = -8(x - 2) + 8  ==> add 8 on both sides to isolate y

y = (-8 * x - 2(-8)) + 8  ==> distribute -8 to x and -2 using the distribution

                                         property

y = (-8x - (-16)) + 8 ==> simplify

y = (-8x + 16) + 8  ==> subtracting by a negative number is equivalent to

                               adding by a positive number.

y = -8x + 16 + 8

y = -8x + 24  ==> Degree of x in the equation is 1, so the function is linear

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

Hence, in this problem, the function g(x) is exponential, as when the input x is increased by one, the output g(x) is multiplied by two.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

Hence, in this problem, the function f(x) is linear, as when the input x is increased by one, the output f(x) is increased by a constant of six.

The problem is given by the image shown at the end of the answer.

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Answer:2

Step-by-step explanation:took a test

(a) The total score of Jesse's card is 1

(b) The value of each of the two cards can either be 0 or cards with different signs

In the question,

(a) Jesse's card are 3 , -5 , 9 and -6

We have to find the total

You should know that,

Adding a positive integer is like addition but adding a negative integer is like subtraction

So, Total score = 3 + (-5) + 9 + (-6)

=> 3 - 5 + 9 - 6

=> 1

Jesse's total score is 1

(b) Jesse has picked two cards which are not affecting her total score

So, either he got two zeroes or two cards with opposite signs with same magnitudes

Like 1 and -1 etc.

The two doesn't affect his score because their effect got cancelled out

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B.A quadrilateral with two pairs of parallel sides

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

Few examples of a parallelogram are rhombus, rectangle, and square.

A quadrilateral with both pairs of opposite sides parallel is known as a parallelogram.

Additionally, a parallelogram has the following qualities:

Congruent opposite angles;

The opposing factions are in agreement;

Additional angles can be found nearby;

The diagonals cut each other in half.

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A segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

Given :

given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

You are asked to construct P such that :

PB / AP = AP / AB

This ratio is the reciprocal of the Golden Ratio.

( AP )^2 = PB * AB

( AP )^2 = PB * ( AP + BP )

( AP )^2 = PB ( AP ) + ( BP )^2

Divide by PB^2 on both sides

ф^2 = ф + 1

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