Find the length s of the circular arc.
s =

the answer is v= -5x + 1136

A graph that shows relationship between the number of days and total amount of sunglasses is attached.

In this case, using Microsoft Excel, the number of days would be plotted on the x-axis (x-coordinate) of the scatter plot and the total number of sunglasses would be plotted on the y-axis (y-coordinate).

A linear equation for the line of best fit is given by the scatter plot (see attachment), which models the relationship between the number of days and total quantity of sunglasses:

y = -2x + 62

In conclusion, the scatter plot shows an inverse relationship between the number of days and the total number of sunglasses, which can be reasonably inferred and logically deduced.

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The commutative, associative, and distributive properties are the properties of addition and multiplication.

The associative and commutative characteristics in mathematics are constant rules that apply to addition and multiplication.

The commutative property states that moving numbers about will still result in the same answer, while the associative property states that rearranging the numbers will provide the same result.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

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Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Answer: The domain of the function f is [-1,1], meaning that the input values (x) can be any value between -1 and 1, inclusive of -1 and 1.

The function f(-1) = f(0) = f(1) = 0, meaning that the output value (y) is 0 when the input value (x) is -1, 0 or 1.

The limit of f(x) as x approaches -1,0 and 1 is 1. This means that as x gets closer and closer to -1, 0 and 1, the output value (y) approaches 1.

A possible graph of a function with these properties is a function that has a horizontal asymptote at y=1, and intersects the x-axis at -1, 0, and 1. It means that the function approaches y =1 as x gets closer to -1, 0, and 1 but never reach the point. Also, the function is zero at -1, 0, and 1.

This function is called the absolute value function, and it can be represented by f(x) = |x|.

However, the graph you provided in the question is not correct. The function is not a parabola, it's a step function. The graph is not smooth and it has vertical lines at -1, 0, 1.

Step-by-step explanation:

Answer:

x = 6  and y = 13

Step-by-step explanation:

2x + 2y = 38 ⇒ eq 1

y = x + 7  ⇒ eq 2

Substituting the value of y from eq 2 in 1:

2x + 2(x + 7) = 38

2x + 2x + 14 = 38

4x = 24

x = 24/4

x = 6

Now substituting the value of x in eq 2:

y = ( 6 ) + 7

y = 13

solve the system of equations using substitution

2x+2y=38

y=x+7

Answer:

x= 6, y= 13

This is a  is a rectilinear shape, so the value of x is 4.

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Answer:

(a)  5/12

Step-by-step explanation:

to solve this problem you can make all fractions equivalent with 12 as the denominator

a) 5/12

b) 2/3 = 8/12      Multiply top and bottom by 4

c) 5/6 = 10/12     Multiply top and bottom by 2

d) 3/4 = 9/12       Multiply top and bottom by 3

if you compare numerators, the smallest one is the closest to zero, which would be (a) 5/12

Answer:

A 5/12

Step-by-step explanation:

first you need to round these all to /12 so a is 5/12

12/3 is 4 so multiply 4 by two which means b is 8/12

12/6 is 2 so multiply 5 by two which gives us c = 10/12

12/4 is 3 and multiply 3 x 3 which is 9 so d is 9/12

5 is the lowest decimal/fraction which makes it the closest to 0

The linear equation with a fraction in it can be solved by using y-intercept form method.

What are linear equations?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

Now,

y-intercept form-

Make sure the linear equation is in the form y = mx + b. This is called the y-intercept form, and it's probably the easiest form to use to graph linear equations. The values in the equation do not need to be whole numbers. Often you'll see an equation that looks like this: y = 1/4x + 5, where 1/4 is m and 5 is b.[1]

m is called the "slope," or sometimes "gradient."[2] Slope is defined as rise over run, or the change in y over the change in x.

b is defined as the "y-intercept." The y-intercept is the point at which the line crosses the Y-axis.[3]

x and y are both variables. You can solve for a specific value of x, for example, if you have a y point and know the m and b values. x, however, is never merely one value: its value changes as you go up or down the line.

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if a = 16 cm and b = 17 cm then the height of triangle is 15 cm

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that a = 16 cm and b = 17 cm

We have to find the height of the triangle.

The height of the triangle is perpendicular to a.

It forms a right angle triangle.

The base is a/2=8 cm and b is 17 cm. we have to find h.

By pythagoras theorem,

8² + h² = 17²

64+h² =289

h² =225

Square root on both sides

h=15

Hence, if a = 16 cm and b = 17 cm then the height of triangle is 15 cm.

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The ordered pair for the equation is (384/29, 64/29).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

5x-y=64..............(1)

6y=x........................(2)

Now, substitute the value of x from equation 2 into equation (1)

5(6y) - y= 64

30y - y= 64

29y= 64

y= 64/29

and, x= 6y

x = 6 (64/29)

x = 384/ 29

Hence, the ordered pair (384/29, 64/29).

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{16}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{16}-\stackrel{y1}{12}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{4}{-4 +6} \implies \cfrac{ 4 }{ 2 } \implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{12}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-6)}) \implies y -12 = 2 ( x +6) \\\\\\ y-12=2x+12\implies {\Large \begin{array}{llll} y=2x+24 \end{array}}[/tex]

The quotient of (x^3 + 3x^2 - 4x - 12)/(x^2 + 5x + 6) is (x - 2).

To find the quotient of (x^3+3x^2-4x-12)/(x^2+5x+6) we can use polynomial long division method.

First, divide x^3 by x^2 and write down the quotient (x)

To find the remainder :

(x^3 + 3x^2 - 4x - 12) - x(x^2 + 5x + 6)

= x^3 + 3x^2 - 4x - 12 - x^3 - 5x^2 - 6x

= -2x^2 - 10x - 12

Now divide -2x^2 by x^2 and get the quotient (-2)

Then the remainder is :

(-2x^2 - 10x - 12) - (-2)(x^2 + 5x + 6)

= -2x^2 - 10x - 12 + 2x^2 + 10x + 12

= 0

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It will take her approximately 2.76 years to decide.

The artist has 10 paintings, and there are 10 display locations. So, the total number of possible arrangements is 10! (10 factorial) which is equal to 3,628,800.

If she takes 1 minute to set up and view each arrangement, and she works 10 hours a day 6 days a week, she can work for 60*10=600 minutes in a day.

In a week, she can work for 600*6 = 3600 minutes.

Therefore, in a week, she can view 3600/1 = 3600 arrangements.

So, it will take her to view all possible arrangements is: 3,628,800/3600 = 1008 days

That's approximately 2.76 years.

So, it will take her approximately 2.76 years to decide.

Therefore, It will take her approximately 2.76 years to decide.

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The four main steps of division are dividend, divisor, quotient and remainder.

Dividend: The number that is being divided.

Divisor: The number by which the dividend is being divided.

Quotient: The result of the division, which is the number of times the divisor can "fit into" the dividend.

Remainder: The amount left over after the division is complete. It is the part of the dividend that is not "fit" into the divisor.

For example, when dividing 16 by 3, the dividend is 16, the divisor is 3, the quotient is 5, and the remainder is 1.

It can be written as:

16 ÷ 3 = 5 with a remainder of 1.

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The new weight at the end of the day will be = 450000-9000 = 441000 Pounds.

The current weight of the Iceberg = 450,000 pounds

Percentage decrease in weight every day = 0.2%

So, for determining the value of the percentage decrease in the weight, we need to first find the value of 2% of 450000

For converting the value given in percentage to the fraction value we will divide the given number by 100.

So, the value 2% can be written as (2/100)

Now calculate the value of 2% of 450000

We will get it as:

(2/100)*450000 = (2*4500) = 9000 Pounds.

After a day, the weight of the iceberg decreases by 9000 Pounds

So, for determining the value of weight at the end of the day, we will subtract the value decreased during the day from the value of weight at the start of the day.

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Answer:

Step-by-step explanation:

Step 1: Current Balance = $4700 debit

Step 2: Balance should equal = $900 debit

Step 3:

ADJUSTING ENTRY

Insurance Expense.....$3800 debit

...Prepaid Insurance.....$3800 credit

-----

Prepaid Insurance

$4700 debit

$3800 credit

Bal. $900

Definition

1 / 17

Prepaid Insurance

The Prepaid Insurance account has a $47000 debit balance to start the year. A review of insurance policies and payments shows that $900 of unexpired insurance remains at year-end.

Step 1: Determine what the account balance equals.

Step 2: Determine what the account balance should equal.

Step 3: Record the December 31, adjusting entry to get from 1 to 2.

Answer:

Step 1: Current Balance = $4700 debit

Step 2: Balance should equal = $900 debit

Step-by-step explanation:

The total price of the phone including the tax is $35.97.

The percentage is calculated by dividing the required value by the total

value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the phone = $33

Tax = 9%

The total price of the phone.

= 33 + 9% of 33

= 33 + 9/100 x 33

= 33 + 2.97

= $35.97

Thus,

The total price of the phone is $35.97.

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Answer:

30 oz for $11.29

Step-by-step explanation:

We can find the unit cost for each and compare.

We need both in dollars per ounce, so we divide the number of dollars by the number of ounces for each case.

6.6 oz for $2.50

Unit cost = $2.50 / 6 oz = 0.41666... $/oz

30 oz for $11.29

Unit cost = $11.29 / 30 oz = 0.376333... $/oz

At $0.38/oz, 30 oz for $11.29 is a better buy than 6.6 oz for $2.50 which is $0.42/oz.

Answer: 30 oz for $11.29

The congruence statement for the triangles is SSS

From the question, we have the following parameters that can be used in our computation:

The triangles

On the triangles, we can see that

The corresponding sides have the same mark i.e. I, II and III

This means that The corresponding sides are equal

So, the triangles are congruent by SSS

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The value of an account can be calculated using the formula for continuously compounded exponential growth given by A = P[tex]e^{rt}[/tex], where A is the final amount, P is the initial amount, r is the interest rate and t is the time.

A proportion of a sum of money is charged as interest for using it. Usually, it is stated as an annual percentage rate (APR). Interest rates can vary based on the kind of loan, the lender, and the borrower's creditworthiness. They are commonly charged on loans, credit cards, and savings accounts.

In the given question, the value of the account can be calculated using the formula for continuously compounded exponential growth given by A = Pe^rt, where A is the final amount, P is the initial amount, r is the interest rate, and t is the time.

Substituting the given values, we get:

$1,360 = $700[tex]e^{(0.049t)}[/tex]

To solve for t, we can take the natural logarithm of both sides:

ln(1360) = ln(700) + 0.049t

Rearranging and solving for t, we get:

t = (ln(1360) - ln(700))/0.049

t = 9.68 years

Rounding to the nearest year, it would take 10 years for the value of the account to reach $1,360.

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Answer:

2nd option

Step-by-step explanation:

4/5 / 7 = 4/35 or 4 over 35 gallons

Answer:3√5

Step-by-step explanation:

√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.

Answer:

The answer is 3√5

When the blue ribbon measures 10 inches, the red ribbon measures 3 inches, when the blue ribbon measures 27 inches, the red ribbon measures 20 inches, and when the blue ribbon measures 'x' inches, the red ribbon measures (x - 7) inches.

According to craft project instructions, a piece of red ribbon should be 7 inches longer than a piece of blue ribbon.

To find the length of the red ribbon given the length of the blue ribbon, we can subtract 7 inches from the length of the blue ribbon.

a) The length of the blue ribbon is 10 inches.

Red ribbon length = 10 - 7 = 3 inches

b) The length of the blue ribbon is 27 inches.

Red ribbon length = 27 - 7 = 20 inches

c) The length of the blue ribbon is x inches.

Red ribbon length = (x - 7) inches

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The question seems to be incomplete the correct question would be:

Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches than the length of a piece of blue ribbon. How long is the red ribbon the length of the blue ribbon is: 10 inches. 27 inches? x inches?

Answer:

Step-by-step explanation:

is this in college?

Answer:

ur mom

Step-by-step explanation:

If a bank account of 45000 loses 3.5% of its value each month, based on the exponential function, its value after 1 year is $29,345.40.

An exponential function is described as a mathematical function in the form of f(x) = aˣ.

In this function, x is a variable and a is a constant called the base.

Exponential functions may represent exponential growth or exponential decay.

In this situation, we have an exponential decay function as follows:

Initial value of the bank account = $45,000

Decay rate per month = 3.5%

Number of periods = 12

Decayed value after 1 year = Initial value x (1 - 0.035)^12

= $45,000 x 0.965^12

= $45,000 x 0.65212

= $29,345.40

Thus, the bank account will be valued at $29,345.40 after 1 year.

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The length of the square change by a factor of √3.

Let x be the initial side length of the square. The area of a square is equal to the length of one of its sides squared.

A = x²

If the area of a square were to triple in size, it means that the new area of the square has increased by a factor of 3.

initial Area x 3 = new Area

3x² = new Area

Let X be the side length of the new square. Hence, the area of the new square is X squared.

new Area = X² = 3x²

X = √3x²

X = x(√3)

Therefore, the length of the square increased by a factor of √3.

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Answer: The expression -5 - (-4) is equivalent to -5 + 4 = -1.

Step-by-step explanation:

Answer:

either of two angles whose sum is 90°.either of two angles whose sum is 180°.

Step-by-step explanation:

Answer: 4y


Step-by-step explanation: