Measure the diameter of the tin in mm and write down the real diameter in mm

The number of days it will take for him to kick 100 goals is given as follows:

45 days.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Hence the function giving the number of goals on day x is given as follows:

y = 2x + 10.

The number of days for him to score 100 goals is then obtained as follows:

100 = 2x + 10

2x = 90

x = 90/2

x = 45 days.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

There are 120 different ways to create a path to 3 different roller coasters at Six Flags.

There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.

The combination formula is:

In this case, n is 10 and r is 3, so the total number of possible combinations is

To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:

which is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.

Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.

Learn more about combinations:

https://brainly.com/question/28065038

#SPJ4

The constant of proportionality (k) for the graph is 11.7.

The proportional equation for the graph is y = 11.7x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for money earned per hour as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 35.1/3 = 81.9/7

Constant of proportionality, k = 11.7.

Therefore, the required equation is given by:

y = kx

y = 11.7x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

The solutions of the given system of linear inequalities are (0, 3) and (6, 2)

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

Given is a graph of a system of linear inequalities, we need to select the solutions of the following,

The solution of the system of linear inequalities, are given by the combined shaded reason of the graph,

Here, only points (0, 3) and (6, 2) are lies in the common combined part of the graph,

Hence, the solutions of the given system of linear inequalities are (0, 3) and (6, 2)

Learn more about system of linear inequalities, click;

https://brainly.com/question/19526736

#SPJ1

Answer:

Step-by-step explanation:

6 is the rate of change and 1/4 is the initial value

To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:

Available credit = credit limit - current balance - cash advance amount

Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:

Available credit = $7,500 - $2,200 - cash advance amount

Now, if you want a cash advance of $1,000, for example, your available credit will be:

Available credit = $7,500 - $2,200 - $1,000 = $4,300

Therefore, your available credit is $4,300 if you want a cash advance of $1,000.

To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:

Transaction fee = $1,000 x 0.025 = $25

Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

Learn more about cosine rule, click;

https://brainly.com/question/26952873

#SPJ9

Answer:16/10

Step-by-step explanation:

add 4/5+4/5=16/10

so the answer is 16/10

Answer:

Three days from Tuesday is Friday.

The value of "a" will be 30 for the given Algebraic expression.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, a algebraic expression 6a -4a +5a = 210

Simplifying the equation in terms of a

6a -4a +5a = 210

adding or subtracting the terms with the same variables

7a = 210

divide by 7 on both sides

a = 30

Therefore, the value of "a" will be 30 for the given Algebraic expression.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ9

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

https://brainly.com/question/30198250

#SPJ1

Answer:

Step-by-step explanation:

To solve the polynomial P(m) = -m + 5m² - 8m + 4m⁵ - 8m⁰, we can simplify the expression by combining like terms:

P(m) = 4m⁵ + 5m² - 9m - 8

Therefore, the simplified form of the polynomial is P(m) = 4m⁵ + 5m² - 9m - 8.

Answer:p=\frac{4m^5+5m^2-9m-8}{m};\quad \:m\ne \:0

Step-by-step explanation:

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

To know more about Table visit:

brainly.com/question/20648466

#SPJ1

The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.

A simple random sample is a type of probability sampling method used in statistics, where each member of a population has an equal chance of being selected for the sample.

In other words, in a simple random sample, every possible sample of a given data will have has an equal probability of being selected from the population.

Here we have

A statistics class has 10 graduate and 40 undergraduate students.

We want to randomly sample 10% of the students in the class.

Even though one graduate student and four undergraduate students are selected at random, the percentage selecting both categories is the same.

Hence, this is a simple random sample.

Therefore,

The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.

Learn more about Simple random sample at

https://brainly.com/question/13219833

#SPJ1

Answer:

  15.8%

Step-by-step explanation:

You want the percentage of world bike production represented by 13.239 million bikes out of a world production of 84 million bikes.

A fraction is converted to a percentage by multiplying it by 100%.

  13.239/84 × 100% ≈ 15.8%

Germany contributed about 15.8% of the world's bike production in 2006.

The value of x is 2 or 10 and the value of length RA is 96

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

If RA = MA

x²-4x = 8x -20

x²-4x-8x +20 = 0

x²-12x +20 = 0

x²-10x -2x +20 = 0

(x²-10x)(-2x+20) = 0

x( x -10) -2(x-10) = 0

(x-2)(x-10) = 0

x-2 = 0

or x-10 = 0

x = 2 or 10

therefore RA = x²-4

when x = 2

RA = 0

when x = 10

RA = 100-4

= 96

therefore the value of length of RA is 96

learn more about Isosceles triangle from

https://brainly.com/question/1475130

#SPJ1

Answer:

(x - 1)^2 + (y + 3)^2 = 400.

Step-by-step explanation:

Your equation is correct.

The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values, we get:

(x - 1)^2 + (y + 3)^2 = 10^2

Simplifying the right side, we get:

(x - 1)^2 + (y + 3)^2 = 100

Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.

Answer:     b = 82°

To solve for angle b, calculate using the given angles and the straight angle theorem.

The straight angle theorem is a rule that says all straight lines are 180°.

Since the angle formed by XY is a straight line, it is also equal to 180°.

XY is divided into three separate angles, a, b and c.

If we add a, b, and c, it will equal to 180°.

XY = a + b + c                              XY is the sum of a, b, and c.

180° = 46° + b + 52°                     Substitute what we know.

To solve for b using this equation, isolate.

180° - 46° = 46° + b + 52° - 46°   Subtract 46° on both sides.

134° = b + 52°

134° - 52° = b + 52° - 52°             Subtract 52 on both sides.

82° = b                                         Keep the variable on the left.

b = 82°                                         Final answer.

Therefore, angle b is 82°.

Learn more about the straight angle theorem:

https://brainly.com/question/24024505

Answer:

Below

Step-by-step explanation:

See the image below :

Area of the ENTIRE rectangle would be: Area = Base * Height

I think you can see that  the triangle is 1/2 of the rectangle. so the

     Area of the right triangle would be: Area = 1/2 * base * height

The value of x is given as follows:

x = 24.75.

The value of x is obtained solving the proportion in the context of the problem.

The proportion is defined as follows:

sin(29º) = 12/x.

Applying cross multiplication, we can isolate the variable x as follows:

xsin(29º) = 12

x = 12/sin(29º).

Then a calculator is used to divide 12 by the sine of 29 degrees, and then the result is given as follows:

x = 24.75.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

For the trapezoid ABCD following statements are true -

Statement 2: The length of AB can be found using 3²+4²=c².

Statement 3: The perimeter of the trapezoid shown is 22 units.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -

(Hypotenuse)² = (Base)² + (Perpendicular)²

AB = √((4 - 1)² + (7 - 3)²)

AB = √((3)² + (4)²)

AB = √(9 + 16)

AB = 5

Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is

Perimeter = AB + BC + CD + DA

Perimeter = 5 + 5 + 4 + 8

Perimeter  = 22

Therefore, second and third statement is true.

To learn more about trapezoid from the given link

https://brainly.com/question/1410008

#SPJ1

Answer:

Hopefully this is the answer you are looking for.

The statement "an exterior angle of a triangle will always be obtuse" is actually false.

Why it is?

An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.

The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.

In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.

To know more about triangle related question visit:

https://brainly.com/question/2773823

#SPJ1

Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.

To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -

68% = 68/100 = 0.68

Number of female animals = 0.68 x 112

Number of female animals = 76.16

Rounding this to the closest whole number gives -

Number of female animals ≈ 76

Therefore, the number of female animals is 76.

To learn more about arithmetic operation from the given link

https://brainly.com/question/20628271

#SPJ1

The probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.

This is a binomial distribution problem, where each toss is a Bernoulli trial with a probability of success of 0.4 (i.e., catching the ball mid-air) and a probability of failure of 0.6 (i.e., not catching the ball mid-air).

The number of successes (mid-air catches) in four tosses follows a binomial distribution with parameters n = 4 and p = 0.4.

The probability of getting exactly three mid-air catches in four tosses is:

P(X = 3) = (4 choose 3) * 0.4^3 * 0.6^1 = 4 * 0.064 * 0.6 = 0.154

where (4 choose 3) is the number of ways to choose 3 out of 4 tosses, and 0.4^3 and 0.6^1 are the probabilities of getting 3 mid-air catches and 1 miss, respectively, in any order.

Therefore, the probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.

To know more about probability follow

https://brainly.com/question/2532753

#SPJ2

Answer:

12

Step-by-step explanation:

1+2=3 and 12 satisfied all the conditions

According to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22.

What is Statistics ?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.

Minimize:

Z = 110X11 + 120X12 + 120X21 + 130X22

Subject to:

X11 + X12 ≤ 1500 (capacity constraint for Amarillo)

X21 + X22 ≤ 3300 (capacity constraint for Charlotte)

X11 + X21 ≥ 2100 (demand constraint for Detroit)

X12 + X22 ≥ 1000 (demand constraint for Atlanta)

where:

X11 = number of components produced in Amarillo and supplied to Detroit

X12 = number of components produced in Amarillo and supplied to Atlanta

X21 = number of components produced in Charlotte and supplied to Detroit

X22 = number of components produced in Charlotte and supplied to Atlanta

Therefore, according to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22

To know more about statistics visit :

https://brainly.com/question/15525560

#SPJ1

Using the Hamilton's method of apportioning of seats, the five countries will get the following number of seats:

Adams = 7

Grant =7

Colton= 11

Davis= 5

Hayes= 2

Total = 7+7+11+5+2 = 32 seats

To calculate the number of seats, first find the Standard Divisor (SD). That is: SD = Total population / Number of seats available

Total population = 213,000+225,000+351,000+158,000+70,000 = 1,017,000

Then divide the total population by number of seats available (32).

That is: SD = 1,017,000/32

SD = 31,781.25

Find the Standard Quota (SQ) for each county by using the formula;

SQ = County population / SD

Adam's SQ = 213,000/31,781.25 = 6.70

Grant's SQ = 225,000/31,781.25 = 7.08

Colton's SQ = 351,000/31,781.25 = 11.04

Davis's SQ = 158,000/31,781.25 = 4.97

Hayes's SQ = 70,000/31,781.25 = 2.20

Find the Lower Quota for each county and find the total number of occupied seats:

Adams = 7

Grant =7

Colton= 11

Davis= 5

Hayes= 2

Total = 7+7+11+5+2 = 32 seats

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Answer:

Step-by-step explanation: