A round cake has a diameter of 30 cm30 cm30, start text, space, c, m, end text. angela places the cake on a circular cake board with a diameter 5 cm5 cm5, start text, space, c, m, end text longer than that of the cake.what is the circumference of the cake board?give your answer in terms of ππpi.

Answer:

QR=6

Step-by-step explanation:

Divide 6 by 4 equal 1.5

So you need to divide 9 by 1.5 which is equal to 6

So RQ=6

Answer:

Add 6 to both sides.

Step-by-step explanation:

Remember you are trying to isolate the variable

a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

Answer:

hatdos and me but the amerika dont approve

In order to calculate when the population will be 100, first let's calculate the coefficients A0 and k.

Since the initial population is 1500, we have A0 = 1500.

Then, to calculate the coefficient k, let's use the value of t = 9 and A = 1000, so we have:

Now, let's calculate the value of t for A = 100:

Rounding to the nearest whole year, we have a time of 60 years.

Answer:

it A  

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

Answer:

A, x + y = 29, 5x + 2y = 100

Step-by-step explanation:

just finished the assignment on edg 2020

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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Answer:

Step-by-step explanation:

The answer is the last one because it does not have a relation of increase or decrease of pens or books.

Answer: The 4th one

Step-by-step explanation:

The points keep jumping up and down, so there is no relationship.

Answer:

False

Step-by-step explanation:

I would say false;

This graph is really hard to read because of the way it's subdivided but one of the coordinate points is (0,-1) and the line clearly passes through the origin (0,0).

If you have the chance, please tell your teacher to provide better graphs that are actually readable.

The completed table for the amount of water in the tank at the given time given a constant flow rate of 1.6 is given below :

From the table given :

0.8 gallons of water flowed into the tank in 0.5 minutes ;

Since the flow rate is constant ; we can relate the amount of water, w, flowing into the tank at time, t as thus ;

w α t

w = kt ; where, k = constant of proportionality ;

We can obtain the value of k when w = 0.8 and t = 0.5

Therefore,

0.8 = 0.5k

Divide both sides by 0.5

(0.8÷0.5) = k

k = 1.6

Hence the flow rate of water into the tank is 1.6 ; the equation can be then be written thus ;

w = 1.6t

Let's find ;

w, when t = 1

w = 1.6(1)

w = 1.6

w, when t = 3

w = 1.6(3)

w = 4.8

4.8t, when w = 40

40 = 1.6t

Divide both sides by 1.6

(40 ÷ 1.6) = t

t = 25

Therefore, the constant of proportionality, k is 1.6

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Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

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

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

The specific values of the constants c_1, c_2, c_3, c_4, A, B, C, D, E, and F will depend on the initial or boundary conditions, if provided.

To solve the given differential equation using the complementary function and particular integral method, we first need to find the complementary function and then find the particular integral.

The complementary function is the solution to the homogeneous equation obtained by setting the right-hand side of the differential equation to zero. In this case, the homogeneous equation is:

(D^4 + 2D^2 + 1)y = 0

To find the complementary function, we assume a solution of the form y_c = e^(mx). Substituting this into the homogeneous equation, we get:

(m^4 + 2m^2 + 1)e^(mx) = 0

Since e^(mx) is never equal to zero, the equation reduces to a polynomial equation:

m^4 + 2m^2 + 1 = 0

This is a quadratic equation in m^2. Solving this equation, we find two pairs of complex conjugate roots:

m^2 = -1 ± i

Taking the square root of these values, we get:

m_1 = √(-1 + i) = √2e^(iπ/4)

m_2 = √(-1 - i) = √2e^(-iπ/4)

Therefore, the complementary function is given by:

y_c = c_1e^(√2x cos(xπ/4)) + c_2e^(√2x sin(xπ/4)) + c_3e^(-√2x cos(xπ/4)) + c_4e^(-√2x sin(xπ/4))

Next, we need to find the particular integral. Since the right-hand side of the differential equation is x^2cos(x), we assume a particular integral of the form:

y_p = (Ax^2 + Bx + C)cos(x) + (Dx^2 + Ex + F)sin(x)

Substituting this into the differential equation, we find the values of A, B, C, D, E, and F. After solving for these coefficients, we substitute them back into the particular integral expression.

Finally, the general solution to the given differential equation is obtained by adding the complementary function and the particular integral:

y = y_c + y_p

Note that the specific values of the constants c_1, c_2, c_3, c_4, A, B, C, D, E, and F will depend on the initial or boundary conditions, if provided.

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The Order of the data from least to greatest are:

The median is the middle value of the data set when arranged in numerical order. Since there are 12 values in the data set, the standard would be the normal of the sixth and seventh values, which are both 13. thus, the standard is 13.

The mode is the value that occurs most constantly in the data set. In this case, there's no value that occurs further than formerly, so there's no mode.

Therefore, the range is the difference between the loftiest and smallest values in the data set. To find the range, abate the smallest value( which is 3) from the loftiest value( which is 26). thus, the range of this data set is 23.

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See text below



use the data table.

National Parks in Western States

Alaska  23

Arizona 22

California 26

Colorado 13

Hawaii 7

Idaho 6

Montana 8

Navada 3

New Mexico 13

Oregon 6

Uttah 13

Washington 13

Wyoming 7

3. Order the data from least to greatest.

4. What are the median and the mode of the data?

5. How do you find the range of the data? What is the range of this data set?

6. Use Patterns and Structure A newspaper wanted to summarize the data for western states within the 48 contiguous states. This means without Alaska and Hawaii. How does removing the data for those states affect the median?

7. Analyze and Persevere How does removing the data for Alaska and Hawaii affect the mode and the range?

Answer:

\(a_{n}\) = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

\(a_{n}\) = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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The fully simplified expression is (1/2) * tan(x), which represents the original expression 6. sin(x)cos(x)sec(x) in a simpler form.The expression 6. sin(x)cos(x)sec(x) can be simplified using the fundamental identities as follows:

sin(x)cos(x) can be rewritten as (1/2) * 2sin(x)cos(x), which is equal to (1/2) * sin(2x).The reciprocal of cosine, sec(x), is equal to 1/cos(x). Multiplying (1/2) * sin(2x) by sec(x) gives us (1/2) * sin(2x) * sec(x) = (1/2) * sin(2x) * (1/cos(x)).Simplifying further, we get (1/2) * (sin(2x)/cos(x)), which can be written as (1/2) * tan(x).The expression 6. sin(x)cos(x)sec(x) can be simplified to (1/2) * tan(x).

To simplify the expression 6. sin(x)cos(x)sec(x), we can use the fundamental identities of trigonometry. Firstly, we can rewrite sin(x)cos(x) as (1/2) * 2sin(x)cos(x), using the identity sin(2x) = 2sin(x)cos(x). This allows us to express the expression as (1/2) * sin(2x).

Next, we can simplify the sec(x) term. The reciprocal of cosine, sec(x), is equal to 1/cos(x). Multiplying (1/2) * sin(2x) by sec(x) gives us (1/2) * sin(2x) * sec(x) = (1/2) * sin(2x) * (1/cos(x)).Finally, we can further simplify the expression by dividing sin(2x) by cos(x). This results in (1/2) * (sin(2x)/cos(x)), which can be written as (1/2) * tan(x) using the identity tan(x) = sin(x)/cos(x).

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Answer:

x = 6 , AC = \(\sqrt{89}\)

Step-by-step explanation:

(3)

Tangents to a circle from an external point are congruent, then

4x - 9 = 15 ( add 9 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

(4)

the angle between a tangent and a radius at the point of contact is right , so

Δ ABC is a right triangle with hypotenuse AC

Using Pythagoras' identity in the right triangle

AC² = AB² + BC² = 5² + 8² = 25 + 64 = 89 ( square root both sides )

AC = \(\sqrt{89}\) ≈ 9.4 ( to 1 dec. place )

The actual distance between the two cities is 96 miles.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that the map shows that 16 miles are represented by 0.5 inches.

Let x miles would be the actual distance between the two cities

When they are 3 inches apart on the map

According to the given situation, we can write the ratio would be as:

16 miles : 0.5 inches = x miles : 3 inches

⇒ 16/0.5 = x/3

Apply the cross-multiplication operation,

⇒ 0.5x = 48

⇒ x = 48/0.5

⇒ x = 96

Therefore, the actual distance between the two cities is 96 miles.

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Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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1. The ratio of the areas of ABDC and ABED is 16/81.

2. The length of CD is CF is 25.

3. The length of DE is 20.

1 If the length of CA is 18 units, find the length of BA.

CB:CA=5:9

CA = 18

CB = 18 * 5/9 = 10

BA = CA - CB = 18 - 10 = 8

2 The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides.

The ratio of the corresponding sides of ABDC and ABED is AB:AC = 8:18 = 4:9.

The ratio of the areas of ABDC and ABED is (4/9)² = 16/81.

3. The ratio of the corresponding sides of CDF and DEF is CD:CF = 5:9.

The length of CD is CF * 5/9 = 45 * 5/9

= 25.

The length of DE is CF - CD = 45 - 25

= 20.

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Cindy took 5 classes with the credit and her semester GPA is 42.8.

Credit:

The word "credit" has many meanings in the financial world, but it primarily refers to a contractual agreement in which a borrower receives a sum of money or something of value and promises to repay the borrower at a later date usually including interest.

Credit can also refer to a person's or company's reputation or credit history - as in "she has good credit". In the accounting world, it refers to a specific type of accounting entry.

Given that:

Subject                Credit                   Grade Point                     Grade

Chemistry                4                                151                                C

Mathematics           4                                 171                                B

History                     3                                 111                                A

English                     3                                112                                B

Accounts                 2                                140                               A

Total:                      16                               685

We calculate GPA of Semester:

GPA   = Total Grade point/ Total Credit

         = 685/16

         =  42.8

Therefore, GPA for the semester is 42.8

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Answer:

this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.

Step-by-step explanation:

X=adults

Y=children

I only know to make these two equations from experience doing these types of questions.

X+Y=800

7X +5Y=4600

there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract  the 2nd  from that whole equation.

7(X +Y=800)

7X +7Y = 5600

-(7X +5Y =4600)

0X +2Y = 1000

Y  = 500   ( 500 children went to the movies )

by inspection  you can probably see that 300 adults had to go too

500 kids

300 parents

also that's 4600 dollars to let those people in

7(300) + 5(500) = 4600

2100 + 2500 = 4600

Answer:

Dear diary,

I know I haven't written in you for awhile, but I've been busy with school. I had a really cool teacher this year that helped me through US History. Okay, it took a bit of energy and yeah maybe it wasn't personally fun fighting with myself to remember answers, but he had a game that helped me practice and beat the tests and quizes. At the time I was in class he waited until everyone was done with notes and gave us a free 100% for every chapter notes we finished. He helped everyone and got them finished in time.

I hope I have this teacher again next year.

Dear diary,

I have many pet peeves...

- People who can’t FREAKIN cover themselves when they sneeze or cough!

- People who interrupt when I am speaking

- Slow Walkers

- Rude/Slow drivers

- Know-it-all’s

- Someone leaving the water running and same goes for lights

- People who talk while their mouth is full

And that’s all I could think of..and these bother me because they just do. Like it’s rude, unhygienic, and not environmentally friendly.

Step-by-step explanation:

Answer:

I hope this helps!! also don't forget to paraphase this!!

Step-by-step explanation:

Many people believe that it is important to find ways to pay it forward in their daily lives. Think about what “pay it forward” means. Write an entry explaining what you believe this expression means and provide an example of this practice that you have witnessed.

I feel the meaning of “pay it forward” means responding to kindness to yourself with kindness to someone else.

Dear diary, There was one time one of these little kids were all alone and were crying and I decided that I would give the kid company. I had asked her what was wrong and she had said her friends were ignoring her and at that time that was happening to me too! So I decided we would go tell the yard duty. Once we had told the yard duty, the yard duty had said show me where they are. Once we showed her they talked and the little girl gave me a big bear hug! 

Years passed and I was all alone and one of my friends (Connor) had seen me and asked if I was ok. I said I guess I’m just bored and don’t want to play what my friends were playing. He said come play with me! We started to play kickball and I absolutely enjoyed it until his brother came to play. I didn't like him playing because he always made fun of me when I couldn’t kick it. I eventually didn’t want to play anymore because of Connor’s brother so I went to sit back down by the tree I was sitting at before. Conner didn’t like the way his brother was treating me. 

After I had told him, he asked me what was wrong. I told him I didn't like the way his brother Anthony was treating me . He said he would make sure his brother wouldn’t be mean anymore. I came back to play kickball again and Anthony started calling me a crybaby because I left. I was about to burst into tears until Connor told his brother to knock it off or he would hit him in the head with a ball! I laughed, Connor laughed, and even Anthony’s friends laughed!! 

In conclusion, this story is an example of “pay it forward”. There are very many examples that everyone can relate to. This story explains what paying it forward means because kids could help bullying and know that they helped a kid extremely and could help the child that is getting bullied to help someone else.

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

\(\frac{4}{5}\) = \(\frac{x}{20}\)

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

Answer:

875

Exaplaination:

No. of sanitizer in a box= 25

No. of boxes deliver in a shop=35

Total sanitizer left?

25×35= 875

hope you get the answer