The table shows information about the number of sweatshirts sold and the money collected at a fundraiser for school athletic programs. For exercise 7-12, use the table

The number of degrees in the measure of the largest angle is 315°

given that

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon.

The name nonagon is a prefix hybrid formation, from Latin (nonus, "ninth" + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century. The name enneagon comes from Greek enneagonon (εννεα, "nine" + γωνον (from γωνία = "corner")), and is arguably more correct,though less common than "nonagon".

Although a regular nonagon is not constructible with compass and straightedge (as 9 = 32, which is not a product of distinct Fermat primes), there are very old methods of construction that produce very close approximations.

It can be also constructed using neusis, or by allowing the use of an angle trisector.

the angles of a 9-gon are in ratio 3:1:4:1:5:9:2:6:5

the sum of interior angles of an 9-gon = (9-2)* 180

                                                               = 7*180

                                                               =1260°

now, we need to find the largest angle

9/(3+1+4+1+5+9+2+6+5) *1260

=9/(36)*1260

=(1/4)*1260

=315°

The number of degrees in the measure of the largest angle is 315°

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Answer:

Below

Step-by-step explanation:

= a (a^2- 9a + 14) = 0

= a (a-7)(a-2) = 0      shows 'a' can be 0 , 7 or 2

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The cost of the fence used to make the rectangular sheep pen is £57.6. The result is obtained by multiplying the perimeter by the fencing price.

The cost for fencing a building can be calculated by multiplying the price of a certain size of fence by the perimeter or the length side to be fenced.

Bill builds a rectangular sheep pen.

Find the total cost of the fence!

The total cost of the fence will be

= P × fencing cost

= 24 m × £1.20 / ½ m

= 24 × £2.40

= £57.6

Hence, the fence to make the sheep pen will cost £57.6.

Your question is incomplete. But most probably your full question was

Bill needs to build a rectangular sheep pen. The pen must have a perimeter of 24 m. Every half meter of fencing costs him £1.20. Work out the cost of the fence used to make the sheep pen!

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The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ... , Y_n\)

List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  \(X_i\)  and \(Y_j\)  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The missing frequency table is attached below. If we name events as:

Then, the needed probability is P(B|A) (as it is already specified that the person would be older than 35 years.)

Using the table, we get:

\(P(A) = \dfrac{\text{Total person who are older than 35 years age}}{\text{Total person in survey}}\\\\P(A) = \dfrac{162}{429} \approx 0.3776\)

Using the table, we get the value on the place where A and B both occur(when person selected is older than 35 years and have hemoglobin between 9 and 11 ) as:

\(n(A \cap B) = 162 - 40 - 76 = 46\)

Thus, we get:

\(\\\\P(A\cap B) = \dfrac{\text{Total person older than 35 years age and have hemoglobin level between 9 and 11}}{\text{Total person in survey}}\\\\P(A \cap B) = \dfrac{46}{429} \approx 0.1072\)

Using the chain rule, we get:

\(P(B|A)P(A) = P(A\cap B)\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.1072}{0.3776} \approx 0.284\)

Thus, the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is given by: Option B: 0.284 approx.

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Answer:

123 cm²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

Step-by-step explanation:

the domain is the interval or set of all valid values for the input variable (x).

this is here all real (R) values.

the range is the interval or set of all valid values for the result variable (y).

this is here all integer values.

INT(4.6) = 5

INT(-2.3) = -2

INT(sqrt(2)) = INT(1.414213562...) = 1

The range for the y = 2x+4 is (-∞,∞) .

The Range for a function y=f(x) is defined as set of all possible values of the dependent variable after substituting the value from domain .

For Example : the range for function y=x² is [0,∞) as x² will give only non negative values .

In the question ,

the given function is y=2x+4 ,

On comparing this with the equation of line y=mx+c

we get , slope(m)= 2 and the y intercept(c) = 4 ,

hence this function represents the straight line

So, the range of the function is (-∞,∞) .

Therefore , the range for the y = 2x+4 is (-∞,∞) .

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The value of the integral ∫ sech^2(23-1) dx is tanh(3-1) + C.  To evaluate the integral ∫ sinh(x) dx, we can use the integral of the hyperbolic sine function.

a) To evaluate csch(ln(3)), we can use the definition of the hyperbolic cosecant function:

csch(x) = 1/sinh(x)

Therefore, csch(ln(3)) = 1/sinh(ln(3)).

Now, sinh(x) can be defined as:

sinh(x) = (e^x - e^(-x))/2

Using this definition, we can calculate sinh(ln(3)) as:

sinh(ln(3)) = (e^(ln(3)) - e^(-ln(3)))/2

= (3 - 1/3)/2

= (9 - 1)/6

= 8/6

= 4/3

Finally, substituting this value back into the expression for csch(ln(3)):

csch(ln(3)) = 1/sinh(ln(3)) = 1/(4/3) = 3/4.

Therefore, csch(ln(3)) = 3/4.

b) To evaluate cosh(0), we can use the definition of the hyperbolic cosine function:

cosh(x) = (e^x + e^(-x))/2

When x = 0, we have:

cosh(0) = (e^0 + e^(-0))/2 = (1 + 1)/2 = 2/2 = 1.

Therefore, cosh(0) = 1.

For finding the derivative of a function, we use the process of differentiation. Here are the steps:

a) f(x) = sinh(-3x)

To find the derivative of f(x), we can use the chain rule. The chain rule states that if we have a composite function f(g(x)), the derivative of f(g(x)) with respect to x is given by:

d/dx [f(g(x))] = f'(g(x)) * g'(x)

Applying the chain rule to f(x) = sinh(-3x):

f'(x) = cosh(-3x) * (-3)

= -3cosh(-3x)

Therefore, the derivative of f(x) = sinh(-3x) is f'(x) = -3cosh(-3x).

b) f(x) = sech^2(3x)

To find the derivative of f(x), we can use the chain rule again. Applying the chain rule to f(x) = sech^2(3x):

f'(x) = 2sech(3x) * (-3sinh(3x))

= -6sech(3x)sinh(3x)

Therefore, the derivative of f(x) = sech^2(3x) is f'(x) = -6sech(3x)sinh(3x).

a) To evaluate the integral ∫ sinh(x) dx, we can use the integral of the hyperbolic sine function:

∫ sinh(x) dx = cosh(x) + C

where C is the constant of integration.

b) To evaluate the integral ∫ sech^2(2x) dx, we can use the integral of the hyperbolic secant squared function:

∫ sech^2(x) dx = tanh(x) + C

However, in the given integral, we have sech^2(23-1). To evaluate this integral, we can use a substitution. Let's substitute u = 3-1:

du = 0 dx

dx = du

Now, we can rewrite the integral as:

∫ sech^2(u) du

Using the integral of sech^2(u), we have:

∫ sech^2(u) du = tanh(u) + C

Substituting back u = 3-1, we get:

∫ sech^2(23-1) dx = tanh(3-1) + C

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Answer:

140 gallons of water would it use for 10 loads of laundry.

Step-by-step explanation:

w ∝ l

w = kl

k = proportionality constant.

For, w =  28 gallons

l = 2 loads of laundry

Put in the equation;

28 = 2 k

k = 14

Now, when l = 10 loads of laundry, w = ?

w = 14 × 10

w = 140

EXPLANATION

The player tries to throw a disc into the metal basket, so the targets that are closest togheter are represented by the BC segment because it has the closest angle and path.

The angle CBD is equal to 64 degrees by sum of interior angles definition. Furthermore, angle CBD is congruent to angle ABD.

The angle DAB is equal to 56 degrees.

In order to get an angle DAB equal to 56 degrees, the point A must be further away.

So, the only triangle that can satisfy the condition is the △BCD.

The point D is not an option because it is farther away from B and D because it has a closest angle.

So, the answer is the segment BC.

Answer:

6.46%

Step-by-step explanation:

19*34= 646

646/100= 6.46

Hope this helps! :)

Answer:

55

Step-by-step explanation:

To be exact it is 55.8823529412%

Answer:

The length is 6 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

The length is 6 ft

Answer:

6 ft

Step-by-step explanation:

We know that the formula to find the area of a square is :

Area = a² ( length × width)

According to the question they've already given the area of the square as 36ft².

So, to find the the measure of a one side, let the in unknown measure of a side be a.

And now, using the formula let us find the value of a ( length of a one side).

\( \sf \: Area = a² \\ \sf 36 = a² \\ \sf \: \sqrt{36} = a \\ \sf6ft = a\)

‌

Answer: if ya trying to find how many solutions then there are many solutions

even though I don't have a explanation I'm confused on what the question is. TwT

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Answer:

Step-by-step explanation:

Let's assume that the monthly incomes of the two persons are 9x and 7x, respectively, where x is a common multiplier for both ratios.

Given that the ratio of their incomes is 9:7, we can write the equation:

(9x)/(7x) = 9/7

Cross-multiplying, we get:

63x = 63

Dividing both sides by 63, we find:

x = 1

So, the value of x is 1.

Now, we can calculate the monthly incomes of the two persons:

Person 1's monthly income = 9x = 9(1) = Rs. 9,000

Person 2's monthly income = 7x = 7(1) = Rs. 7,000

Therefore, the monthly incomes of the two persons are Rs. 9,000 and Rs. 7,000, respectively.

Answer:

Use the explantion to answer your question

Step-by-step explanation:

Amount he paid for first 20 shares

= $25 + (20 x $10.51)

= $25 + $210.20

= $235.20

Amount he paid for next 20 shares

= $25 + (20 x $8.93)

= $25 + $178.60

= $203.60

Thus, total amount paid

= $235.20 + $203.60

= $438.80

Answer:

$494

Step-by-step explanation:

30 * 6.31 + 16 = $205.30

30 * 9.09 + 16 = $288.70

Total = $494

Answer:

Step-by-step explanation:

Its 50% for the first one

Answer: not helping me I’m not gonna help you either

Step-by-step explanation:

Answer:

if ur asking for the square root of it :

square root of √121 is 11

√121

√11×11

√11²

11

hope it helps

Step-by-step explanation:

For the given matrices A = \(\left[\begin{array}{ccc}0&-2\\4&7\\\end{array}\right]\) and B = \(\left[\begin{array}{ccc}3&-2\\6&-9\\\end{array}\right]\) the value of

C = \(\left[\begin{array}{ccc}-8&-20\\24&-75\\\end{array}\right]\)

C₁₁ = -8 , C₁₂ = -20 , C₂₁ = 24 and C₂₂ = -75.

As given in the question,

Given matrices are

A = \(\left[\begin{array}{ccc}0&-2\\4&7\\\end{array}\right]\) and B = \(\left[\begin{array}{ccc}3&-2\\6&-9\\\end{array}\right]\)

C = BA

Both A and B  are of order 2 × 2 .

Multiplication of matrices BA is possible with order 2 × 2.

Substitute the value of matrix A and matrix in BA we get,

BA

=  \(\left[\begin{array}{ccc}3&-2\\6&-9\\\end{array}\right]\)  \(\left[\begin{array}{ccc}0&-2\\4&7\\\end{array}\right]\)

= \(\left[\begin{array}{ccc}0-8&-6-14\\0+24&-12-63\\\end{array}\right]\)

= \(\left[\begin{array}{ccc}-8&-20\\24&-75\\\end{array}\right]\)

C =  \(\left[\begin{array}{ccc}-8&-20\\24&-75\\\end{array}\right]\)

Value of C₁₁ = -8

Value of C₁₂ = -20 ,

Value of C₂₁ = 24

Value of C₂₂ = -75.

Therefore, for the given matrices A = \(\left[\begin{array}{ccc}0&-2\\4&7\\\end{array}\right]\) and B = \(\left[\begin{array}{ccc}3&-2\\6&-9\\\end{array}\right]\) the value of

C = \(\left[\begin{array}{ccc}-8&-20\\24&-75\\\end{array}\right]\)

C₁₁ = -8 , C₁₂ = -20 , C₂₁ = 24 and C₂₂ = -75.

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Answer:

every parallelogram is a square? False

every rectangle with four congruent sides is a square? True

every rectangle is a quadrilateral? True

every quadrilateral is a rectangle?​ False

Step-by-step explanation:

every parallelogram is a square?

A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.

every rectangle with four congruent sides is a square?

Square require 4 congruent sides and 4 right angles. Rectangles already have  4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.

every rectangle is a quadrilateral?

A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.

every quadrilateral is a rectangle?​

A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

Answer:

x=1/4

Step-by-step explanation:

4(1/4)=1

1/3=1/3

Answer:

VII

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

if one box = 1 then wouldn't a big one be 4 since all you're really doing is placing them together so x+x+x = 12 -1-1 =10 for the left side I'm sure you'll understand the rest

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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