what is the perimeter ​

Answer:

d. 540 deg

Step-by-step explanation:

2 pi radians = 360 deg

(360 deg)/(2pi rad) = 1

3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg

Answer:

\(\textsf{C.} \quad C = \$10 + \$5h\)

Step-by-step explanation:

Given information:

Given variables:

The Park admission fee of $10 is independent of the fee charged per hour per sport.  Therefore, it is represented by a constant in the equation.

The fee per hour of sledding is dependent on the number of hours spent.  Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).

Therefore the equation that represents the cost of sledding per hour is:

C = $10 + $5h

\(\huge \boxed{\sf C}\)

Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.

\(\sf C = 5h + 10\)

An equation contains variables and integers.

C and h are variables which means the value changes.

5 and 10 are integers.

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

a. The inequality that represents the additional number of passengers, p, that can board the plane will be D. 15+p≤44 15 plus p is less than or equal to 44

b. The option that represents the people who can board the plane is A. 30 more passengers cannot board the plane. Only 29 more passengers can board the plane.

From the information, the small airplane can hold 44 passengers. Fifteen passengers board the plane.

Let P = those that can board the plane.

P + 15 ≤ 44

Collect like terms

P ≤ 44 - 15

P ≤ 29

The highest number of passengers that can enter the plane is 29.

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Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

This question looks trivial but its not and its apparent you didn't think so either. It uses the very important word(s) of more than and less than. These two words in higher science give more trouble that a flock of magpies give a bunch of robins in spring when they are nesting.

So Here's the solution

1 foot = 12 inches.

12 feet is going to be MORE THAN 12 inches.

That's the first answer in the right column. Watch out for more than and less than. They are real trouble.

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

The given expression as : 16* 16 ;

16 * 16 = 16 x 16

Thus, 16*16 = 256

Answer : true

The area of the given square pyramid is:

total area = 1,100 inches squared.

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

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The dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.

Let's assume the can has a height of h and a radius of r.

The volume of a cylinder is given by:

V = πr²h

Given that the can should hold 500 cubic centimeters of liquid, we have:

500 = πr²h

We want to minimize the cost, which depends on the surface area of the can.

The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.

The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.

Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.

The surface area of the sides of the cylinder is given by:

A_sides = 2πrh

The surface area of the top and bottom surfaces (each) is given by:

A_top_bottom = 2πr²

The total surface area (cost) is given by:

Cost = 2(2c)A_top_bottom + cA_sides

= 4cπr² + 2c(2πrh)

= 4cπr² + 4cπrh

To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).

From the volume equation, we have:

h = 500 / (πr²)

Substituting this value of h into the surface area equation, we get:

Cost = 4cπr² + 4cπr(500 / (πr²))

= 4cπr² + 2000c/r

Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:

dCost/dr = 8cπr - 2000c/r² = 0

8cπr = 2000c/r²

8πr³ = 2000

r³ = 250 / π

r ≈ 6.324

Now, we can substitute this value of r back into the equation for h:

h = 500 / (π(6.324)²)

≈ 3.984

So, the dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

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The fractions 6/19 and 19/8 are  not equivalent.

Given fractions :

6/9 and 19/8

For a fraction to be equivalent to another fraction but the fraction must have equal result after dividing the numerator by the denominators.

Hence,

6/9= 0.666

19/8=2.375

Based on the above the fractions are not equivalent. Some of the fractions that are equivalent to 6/9 are:

2/3 , 4/6, 8/12, 18/27, 12/18, 14/21, 16/24

Some of the fractions that are equivalent to 19/8 are:

38/16, 57/24, 76/32, 95/40, 114/48, 133/56

Therefore the fractions 6/19 and 19/8 are  not equivalent.

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Answer:

16

Step-by-step explanation:

Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X  Solving for  we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

A. The shop will sell twice as many roses as daisies

Step-by-step explanation:

Look at each choice and use today's numbers.

A. roses: 18; daisies 9

18 is twice 9.

True

B. roses: 18; lilies: 12

18 and 12 are certainly not equal.

False

C. Lilies: 12, but roses 18

It's more roses than any other.

False

D. Lilies: 12; roses: 18

It's 6 more roses than lilies, not the other way around.

False

C. Multiplication property

Properties of equality and congruence are properties that show how equations or shapes can be changed but remain equal.

Properties of Equality

Since this question deals with an equation, not a shape, the properties of equality will be used. The most common properties of equality include:

The important thing to note is that whatever is done to one side, must be done to both. No matter what operation it is, if you change the equation you must change both sides equally.

Solving for X

To find the correct property, we need to solve for x. Do this by isolating the variable.

First, let's rewrite the equation.

Now, we need to find a way to isolate the variable. To isolate x, we need to get rid of the denominator, 5. Do this by multiplying both sides by 5. This will cancel out the denominator on the left side. Remember to multiply on both sides.

Then, simplify the equation

To solve this equation, we multiplied both sides by the same number. This matches the definition of the multiplication property of equality, so that must be the correct answer.

Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

The result is approximately $492.92.

To calculate A(5) - A(3) / (5 - 3), we first need to find the values of A(5) and A(3).

For A(5), we substitute t = 5 into the formula A(t) = 2000(1.015)^(4t):

A(5) = 2000(1.015)^(4 * 5) = 2000(1.015)^20 ≈ $2983.66.

For A(3), we substitute t = 3 into the same formula:

A(3) = 2000(1.015)^(4 * 3) = 2000(1.015)^12 ≈ $2490.74.

Now, we can calculate the result:

(A(5) - A(3)) / (5 - 3) = ($2983.66 - $2490.74) / (5 - 3) ≈ $492.92.

Interpretation: The result, $492.92, represents the average annual increase in the savings account balance between the 3rd and 5th year. It indicates the compounded interest earned over a two-year period.

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The statement 7+5(x-3) = 22 is true for x = 6.

Finding the equation's solution is the concept of solving an equation. The value of the variable that may be used to verify the equation is known as a solution.

The same number added on both sides

Taking away the same amount from both sides

using the same integer on both sides when multiplying

using the same integer to divide into both sides

Here we have

7 + 5(x-3) = 22    

The above expression can be solved as follows

7 + 5(x-3) = 22      

Multiply 5 and (x - 3) terms

=> 7 + 5x - 15 = 22

=> 5x - 8 = 22        [ ∵ -15 + 7 = -8 ]    

Add 8 on both sides

=> 5x - 8 + 8 = 22 + 8

=> 5x = 30

Divided by 5 into both sides  

=> 5x/5 = 30/5

=> x = 6

Therefore,

The statement 7+5(x-3) = 22 is true for x = 6.

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Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

a) The equation to represent the new potential weekly revenues with the adjustments is: Weekly Revenue = (25 + 5(p - 1.5)) * p * 7.

The highest expected weekly revenue your family can make will depend on the optimal price per cup of hot chocolate, which needs to be calculated.

b) To make no weekly revenue, the number of customers per night would need to be zero.

Since each 10-cent decrease in price attracts 5 extra customers, in order to make no revenue, the price would need to decrease enough times to make the number of customers per night zero.

However, this is highly unlikely given that a lower price tends to attract more customers, resulting in increased revenue.

c) The equation to represent the expected weekly revenue with the increased advertising campaign is: Weekly Revenue = (25 + 5 + 5) * 1.5 * 7 - 15. This takes into account the additional cost of $15.00 per week for the advertisement and the expected increase of 5 new customers per night.

d) The recommended revenue-increasing method would be to lower the price per cup of hot chocolate because it has a direct impact on the number of customers, leading to potential revenue growth.

a) To represent the new potential weekly revenues with the adjustments, we can use the following equation:

Weekly Revenue = (Number of Customers per Night) \(\times\) (Price per Cup of Hot Chocolate) \(\times\) (Number of Nights per Week)

Let's denote the initial price per cup of hot chocolate as p, and the initial number of customers per night as c.

We know that with each 10-cent decrease in price, the number of customers per night increases by 5.

Therefore, the number of customers per night can be represented as c + 5 (p - \(p_0\) )

where \(p_0\)  is the initial price.

Substituting the values into the equation, we get:

Weekly Revenue = (c + 5(p - p_0)) * p * 7

To find the highest expected weekly revenue, we can vary the price per cup of hot chocolate (p) and calculate the corresponding weekly revenue for each value.

The price that results in the highest revenue will be the optimal price.

By performing these calculations, you can determine the highest revenue and the corresponding price.

b) To find the possible prices that would result in no weekly revenue, we need to consider the scenario where the number of customers per night becomes zero.

From the given information, we know that with each 10-cent decrease in price, the number of customers per night increases by 5.

Therefore, if we decrease the price enough times to make the number of customers per night zero, we can determine the possible prices.

However, it is unlikely that reducing the price will lead to no weekly revenue.

A more reasonable scenario is that as the price decreases, the number of customers per night increases, which compensates for the decrease in price, resulting in overall revenue growth.

The key is to find the optimal balance between price and customer volume to maximize revenue.

c) To represent the expected weekly revenue with the adjustment of an increased advertising campaign, we can modify the equation as follows:

Weekly Revenue = (Number of Customers per Night + 5) \(\times\) (Price per Cup of Hot Chocolate) \(\times\) (Number of Nights per Week) - Advertising Cost

Here, the additional cost is the advertising cost of $15.00 per week.

We assume that the advertisement will bring about 5 new customers per night, resulting in an increase in the number of customers per night by 5.

d) The recommendation for which revenue-increasing method to choose depends on various factors such as the specific costs involved, the potential increase in customer volume, and the overall impact on revenue.

If the cost of the advertising campaign is significantly lower than the potential revenue increase, and the projected increase in customer volume is substantial, then investing in advertising might be a more effective approach.

However, if the advertising cost is high and the projected increase in customers is not substantial, then adjusting the price per cup of hot chocolate might be a better option.

To make an informed recommendation, it is crucial to calculate the potential revenue for each scenario, considering the associated costs and projected changes in customer volume.

The method that results in the highest net revenue, taking into account both costs and customer increase, would be the recommended approach.

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bro

Step-by-step explanation:

To convert 800 mm to inches, divide 800 by 25.4. The result is 2 feet and 7.5 inches.

The metric and imperial systems are two ways to measure length, with the metric system being more widely used in the world and the imperial system being predominantly used in the United States.

800mm (millimeters) can be converted to inches and feet by using the conversion factors: 1 inch = 25.4mm, and 1 foot = 12 inches.

To convert 800 mm to feet, first convert 800mm to inches as described above (800/25.4 = 31.5 inches). Then divide 31.5 by 12 to get the equivalent length in feet. The result is 2 feet and 7.5 inches.

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Answer:

10 = 5x

5/10

x =1/2

unit rate is equal to 0.50

Step-by-step explanation:

Yes, If ABCD ≅ EFGH, are all corresponding parts congruent or same.

Congruent figures are identical in terms of both size and shape. Congruent figures have equal comparable sides and angles.

Congruent figures are identical copies of one another.

In other words, two figures are congruent if they can be converted into one another through a series of translations, rotations, and/or reflections.

Hence, Yes, If ABCD ≅ EFGH, are all corresponding parts congruent or same.

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The unknown number is 55.Let the unknown number be x. Then, the expression, "the quotient of a number and seven" can be written as x/7.

Now, we are told that "Seven less than the quotient of a number and seven is equal to 46 divided by seven".

This can be written as:

x/7 - 7 = 46/7

To solve for x, we will isolate x by multiplying both sides by 7:

7(x/7 - 7) = 7(46/7)

Simplifying both sides:

x - 49 = 6x

= 55

Therefore, the unknown number is 55.

The term "quotient" is commonly used in mathematics and refers to the result of dividing one quantity by another. It represents the value obtained when a number, called the dividend, is divided by another number, known as the divisor. The quotient can be thought of as the number of times the divisor can evenly fit into the dividend.

For example, if we divide 10 by 2, the dividend is 10, the divisor is 2, and the quotient is 5. This means that 2 can fit into 10 exactly 5 times, with no remainder.

The quotient is an important concept in arithmetic and is used in various mathematical operations such as long division, fraction calculations, and finding averages. It provides a way to express the relative size or proportion between two quantities.

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We have a triangle with angles: 66 deg, 57 deg and (3x+21).

We have to solve for x.

We know that the sum of the interior angles of a triangles is 180 degrees.

Then, we can write and solve for x as:

The value of x is 12.

Answer: A) 12

Answer:

Let's solve for x.

4x+5y=7

Step 1: Add -5y to both sides.

4x+5y+−5y=7+−5y

4x=−5y+7

Step 2: Divide both sides by 4.

4x/4=−5y+7/4

x=−5/4 y+ 7/4

Answer: for the first one x=−5/4 y+ 7/4

3x−2y=−12

Step 1: Add 2y to both sides.

3x−2y+2y=−12+2y

3x=2y−12

Step 2: Divide both sides by 3.

3x/3=2y−12/3

x=2/3y−4

Answer:

x=2/3y−4

Step-by-step explanation:

Answer:

90

bc i don't care about this

The equation of plane containing the points ABC is 13x+y-18z = 1035.

A plane in 3D coordinate space is determined by a point and a vector that is perpendicular to the plane. The equation of plane is defined as the position vectors and the Cartesian product of the vector perpendicular to the plane.

For the given situation,

The plane containing the points

A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60).

The equation of the plane in the form r.n=d can be represented as

\((r-a).[(b-a)\) × \((c-a)]=0\) ------ (1)

Let r = xi + yj +zk

a = 10i + 5j - 50k

b = 15i + 30j - 45k

c = -5i + 20j - 60k

\((r-a)=(x-10)i+(y-5)j+(z+50)k\) ------- (2)

\((b-a)=(15-10)i+(30-5)j+(-45-(50))k\)

⇒ \((b-a)=5i+25j+5k\)

\((c-a)=(-5-10)i+(20-5)j+(-60-(50))k\)

⇒ \((c-a)=-15i+15j-10k\)

Now, \((b-a)\) × \((c-a)\)

⇒ \((5i+25j+5k)\) × \((-15i+15j-10k)\)

⇒ \(\begin{vmatrix}i&j&k\\5&25&5\\-15&15&-10\end{vmatrix}\)

⇒ \(i(-250-75)-j(-50+75)+k(75+375)\)

⇒ \(-325i-25j+450k\) -------- (3)

Substitute all values in equation 1,

⇒ \([(x-10)i+(y-5)j+(z+50)k].[(-325i-25j+450k)]=0\)

⇒ \(-325(x-10)-25(y-5)+450(z+50)=0\)

⇒ \(-325x+3250-25y+125+450z+22500=0\)

⇒ \(-325x-25y+450z=-22500-3250-125\)

⇒ \(-325x-25y+450z=-25875\)

On dividing by 25 and multiply with negative sign on both sides,

⇒ \(13x+y-18z=1035\)

Hence we can conclude that the equation of plane containing the points ABC is 13x+y-18z = 1035.

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The mass of the aluminum can be calculated using the change in volume and the density. the mass of the aluminum is approximately 9.415 grams.

The change in volume when the aluminum is added to the graduated cylinder is equal to the volume of the aluminum. The change in volume is obtained by subtracting the initial volume (10.0 mL) from the final volume (13.5 mL), resulting in 3.5 mL.

Since the density of aluminum is given as 2.69 g/mL, we can use this information to calculate the mass of the aluminum. The density of a substance is defined as the mass per unit volume. Therefore, we can multiply the density by the volume to obtain the mass.

Using the given density of 2.69 g/mL and the volume of 3.5 mL, the mass of the aluminum can be calculated as follows:

Mass = Density x Volume = 2.69 g/mL x 3.5 mL = 9.415 g

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