842.72+412.38+1/8+1/2=

There are 126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

The number of selections of collars possible if repetitions of colors are not allowed, we can use the concept of permutations.

Using the formula for permutations without repetition, we can calculate this as:

9P4 = 9! / (9 - 4)!

= 9! / 5!

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 3024 / 24

= 126

This shows that  126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

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Solution-

Quadratic regression equation,

[tex]y =ax^2+bx+c[/tex]

taking x = input/independent variable = year - 2000

and y = output/dependent variable = share of the global GDP

To plot a quadratic equation for the data points, we need to calculate all the constants a,b and c , then putting all the values in the general equation we can get the best fit curve for the data set.

Using, the graphing calculator, we can calculate the values of a, b, and c. The values were found to be,

a = -0.0471

b = 2.6366

c = 12.1001

Putting all the values,

[tex]y =-0.0471x^2+2.6366x+12.1001[/tex]

This is the best fit quadratic function that models the share of the global GDP.

For calculating the share of GDP in the year 2027, we can put the value of x to get the value of y.

x = year-2000=2027-2000=27,

[tex]y=-0.0471(27)^2+2.6366(27)+12.1001=-0.0471(729)+2.6366(27)+12.1001=48.95[/tex]

∴ In the year 2027, the maximum share will be 48.95% of total GDP.

The detailed answer explains how to find the quadratic function that models the data and calculates the predicted share of the GDP in 2027 using the quadratic function.

Quadratic Function Model:

Using the given data points, we can find the quadratic function that best models the developing economies' share of global GDP. This can be achieved by fitting a quadratic equation to the data.

The quadratic function that best models the data is: y(x) = 0.7386x^2 - 28.4235x + 276.0976

Predicted Share of GDP in 2027:

To find the predicted share of the GDP in 2027, substitute x = 27 (since 2027 is 27 years after 2000) into the quadratic function.

By calculating, the predicted share of the GDP in 2027 is approximately 44.5233%.

Answer:

In total 825 people in the town voted.

Step-by-step explanation:

55% = 0.55

1,500 * 0.55 = 825

Answer:

825

Step-by-step explanation:

55% = 55/100 = 0.55; this means that

0.55(1500) = 825 people voted.

Answer:

41.99 or 42.0 volts.

Step-by-step explanation:

We have been given the impedance (Z) of the circuit which is:

[tex]Z=3.342+4.176i[/tex]

and the current through the circuit is:

[tex](5.772-5.323i)[/tex]

The voltage across the circuit is given by:

[tex]V= I\times Z=IZ[/tex], where 'V' is the voltage, 'I' is the current, and 'Z' is the impedance.

Plugging the values of 'I' and 'Z' we get:

[tex]V=(5.772-5.323i)\times 10^{-3}\times (3.342+4.176i)\times 10^3[/tex]

[tex]V=(5.772-5.323i)\times(3.342+4.176i)[/tex]

[tex]V= (41.51+6.31i)[/tex]

Now that we have the voltage, we can find the magnitude of the voltage as follows:

[tex]V= \sqrt{(41.51)^2+(6.31)^2}=\sqrt{1723.08+39.81}=\sqrt{1762.89}=41.98 \approx 42.0[/tex]

So the magnitude of the voltage across the circuit is 42.0 Volts.

Answer:

7719 = 3*31 * 83

Step-by-step explanation:

Because 93 can be factored down further. It is 31*3. So the prime factorization of

7719: 83 * 31 * 3

83 is a prime. It cannot be broken down any further.

Answer:

Option B

Step-by-step explanation:

h(x) =  x             if  x <  -1

         -x             if  x ≥  -1

Here piece wise function is given.

Firstly we graph the line h(x)  = x .

Remember that, this line start from x = -1 to -infinite , because x is less than -1.

Here we can not include the point x=-1. This situation represent with the help of circle at x = -1.

Now we graph the line h(x)  = -x .

Remember that, this line start from x = -1 to infinite , because x is greater  than equal to -1.

Here we  include the point x=-1. This situation represent with the help of solid circle at x = -1..

So, option 2 is correct answer.

Answer:

A rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.

Step-by-step explanation:

We are told that a ceiling fan has 5 equally spaced blades. It will work as a regular pentagon.

We can find angle of rotation to map one blade on adjacent blade dividing 360 by 5 as sum of angles of regular pentagon equals to 360 degrees.

[tex]\text{ Angle of rotation}=\frac{360}{5}[/tex]

Upon dividing 360 by 5 we will get,

[tex]\frac{360}{5} =72[/tex]

Therefore, a rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.    

The angle between adjacent blades in a five-blade ceiling fan is b. 72°.

**Understanding the Situation**:

We have a ceiling fan with five equally spaced blades. We need to find the angle of rotation that maps one blade onto the adjacent blade.

**Identifying the Angle between Blades**: Since the blades are equally spaced, we can find the angle between adjacent blades by dividing the full circle (360°) by the number of blades, which is 5.

  [tex]\[ \text{Angle between adjacent blades} = \frac{360°}{5} = 72° \][/tex]

**Checking the Options**:

  - (a) 144° is twice the angle between adjacent blades. This would correspond to skipping one blade and landing on the third blade, which is not adjacent.

  - (b) 72° is the same as the angle between adjacent blades. This seems promising.

  - (c) 90° is not consistent with the division of the circle by the number of blades.

  - (d) 36° is half the angle between adjacent blades. This would correspond to a situation where we skip two blades, which is not adjacent.

Complete Question :

Ceiling fan has five equally spaced blades. Find the angle of rotation that maps one blade onto the adjacent blad a 144° b 72° c 90° d 36°    

Hey there!!

This question is based on "direct variation".

Direct variation says :-

... y = kx ( Where k is the constant ).

Given :-

... y = 5 and x = -45

Now, we will have to find the constant

... 5 = -45k

... -5 / 45 = k

... 1 / 9 = k

Now, find the value y and x value given is -24.

... y = -24k

... y = -24 * 1/9

... y = -8 * 1/3

... y = -8/3

Hope my answer helps!!

multiply the 2/8 x 4/9 first

then add the 7/9

you'll get 6/9

simplify to get the answer: 2/3

[tex]\frac{7}{9} -\frac{2}{8} \times \frac{4}{9}[/tex]

Start by multiplying the fractions together. When multiplying fractions they don't need to have a common denominator, so multiply 2/8 and 4/9 from left to right.

[tex]\frac{2}{8} \times \frac{4}{9} = \frac{8}{72}[/tex]

Now your new problem looks like: 7/9 - 8/72. When subtracting fractions they have to have common denominators so multiply 7/9 by 8/8.

[tex]\frac{7}{9} \times \frac{8}{8}= \frac{56}{72}[/tex]

You can now subtract 56/72 and 8/72 to get your final answer.

[tex]\frac{56}{72} -\frac{8}{72} = \frac{48}{72}[/tex]

This fraction can be simplified by dividing both sides by 8 because the numerator and denominator of this fraction are multiples of 8 and can be divided evenly by 8.

[tex]\frac{48}{72} \div \frac{8}{8} = \frac{6}{9}[/tex]

6/9 can be simplified even further by dividing both sides by 3 because both 6 and 9 can be divided evenly by 3.

[tex]\frac{6}{9} \div \frac{3}{3} = \frac{2}{3}[/tex]

D) 2/3 is your final answer.

A: 95

B: 932

C:50

D:131

Answer: 36 degrees

Step-by-step explanation:

subtract 5 from 30=25

add 11 to 25

25+11=36

Considering the temperature changes throughout the day, the temperature at noon was 36 degrees F.

If the temperature started at 30 degrees F at midnight, and it dropped 5 degrees by 6:00 a.m, the temperature at 6:00 a.m. was 30 - 5 = 25 degrees F. Then, if the temperature increased by 11 degrees F by noon, we just add this increase to the temperature at 6:00 a.m. This results in 25 + 11 = 36 degrees F. So, the temperature at noon was 36 degrees F.

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235$ and if you withdraw 20$ on three days thats 60$ so if we remove that from the account we have 175$ left.

Then on Friday when he got paid he put 130$ into the bank he has 175+130=305$

If he wrote a check 1 for 167$ and 1 for 212$ thats his account balance - 212 then -167 = 305 -378 so he has a balance of -73

The checking balance after writing the checks is -$74.

To calculate the checking balance after writing the checks, we need to keep track of George's transactions:

To find the final balance, we add the positive values (deposits) and subtract the negative values (withdrawals and checks):

Starting balance ($235) + Deposits ($130) - Withdrawals ($60) - Checks ($167 + $212) = $235 + $130 - $60 - $167 - $212 = -$74

Therefore, the checking balance after writing the checks is -$74.

Answer:

13.5 kgs.

Step-by-step explanation:

Here we have to find conversion factor of lbs into kg.

For this we use the given information.

Given that the weight of a dog is 20 lbs and also 9 kg.

Hence we have conversion factor as

20 lbs = 9 kg

Or 1 lb =9/20 = 0.45 kg.

Using this, we find the 30 lb converted into kg.

For 1 lb, equivalent kg = 0.45

Hence for 30 lbs equivalent kg= 30(0.45) = 13.5 kg.

Hello there!

This question is so easy to me.

Explanation:

↓↓↓↓↓

First you had to multiply by the numbers.

[tex]220*19=4180[/tex]

[tex]=4180[/tex]

Answer⇒⇒⇒⇒⇒4180

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer: [tex]2 \frac{7}{10}[/tex]

Step-by-step explanation: Using the place value chart we can see that 2.7 means two and seven-tenths which can be written as the mixed number

[tex]2 \frac{7}{10}[/tex].

the answer is 2362 1/2 minutes

To find out how long each member of the committee will have to spend making flowers, we need to divide the total time needed to make the flowers by the number of committee members.

To find out how long each member of the committee will have to spend making flowers, we need to divide the total time needed to make the flowers by the number of committee members.

Each flower takes 4 1/2 minutes to make, so the total time needed is 525 * 4 1/2 minutes. We can convert 4 1/2 minutes to 4.5 minutes, and then multiply it by 525 to get the total time needed.

Finally, we can divide the total time by the number of committee members (6) to find out how long each member will have to spend making flowers.

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find c when D=12: First you have to plug in the number so if d=12 the you do c=12(1.5) which equals 18. C=18

Find d if C=15: you now have to do the inverse operation. if c=d1.5 then d= c/1.5 Then plug in the numbers again, d=15/1.5  it equals 10, so d=10

I hope this helps (:

That's a really good positive correlation pictured.  The line fits the data very well.  The slope of the line is positive, meaning as x increases so does y.  I'd choose a big positive value.

Answer: 0.872

The correlation coefficient for the set of data is 0.872.

A correlation coefficient exists as a number between -1 and +1 that represents the linear dependence of two variables or groups of data

Using the process CORREL in the Excel tool, find the correlation coefficient

see the attached table

the correlation coefficient is equal to

r = 0.872373

Therefore, the correlation coefficient for the set of data is option D. 0.872.

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Cameron does beat his best score. He scores 7 and 8 over par, as well as 3 under par twice. This makes him have 7 + 8 or 15 over par and 3 + 3 or 6 under par. 15 - 6 = 9, which is under 13, his current best score.

Here is you're answer:

In order to solve this equation you have to remember that a negative divided by a positive is a negative then just solve the equation.

Therefore you're answer is "-17."

Hope this helps!

Answer:

The expression [tex](x+1)^2[/tex] represents the radius of the soap dispenser.

The expression [tex]4x+1[/tex] represents the height of the soap dispenser.

Step-by-step explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

[tex]V= \pi r^2 h[/tex], where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of [tex]x[/tex], then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of [tex]x[/tex] that implies that the function of radius must have square as the exponent of [tex]x[/tex], therefore, the expression [tex](x+1)^2[/tex] will represent the radius of the soap dispenser and the expression [tex](4x+1)[/tex] represents the height of the soap dispenser.

Answer:

D

Step-by-step explanation:

Let’s start out by what we already know. He used 2/5 of flour to make bread and he used 16 Ibs to make bread. This implies that the amount is (2/5)x=16.

2/5x=16

X= 5 x 16/2

X= 40

Since he used 16 Ibs of flour for bread, the rest are for the muffins, which is around 24 Ibs.

We know that each thing of muffins will use 2/3 Ibs of flour.

24/2/3

24/1/2/3

24/1 x 3/2 = 36

36 is the answer to your question. :)

The statement is true.

We have given that,

Many rules concerning two-dimensional geometry have three-dimensional analogs.

Two-dimensional Euclidean space or simply two-dimensional space is a geometric setting in which two values are required to determine the position of an element on the plane.

We have to determine whether the statement is true or false.

The statement is true.

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The only number between 590 and 610 that is divisible by 2, 3, 5, and 10 is 600.

The question asks for numbers between 590 and 610 that are divisible by 2, 3, 5, and 10. To solve the problem, we need to find the numbers that can be divided evenly (without remainder) by all of these numbers.

After calculating, we can see that the only number that fits all these conditions is 600.

The number 600 is divisible by 2, 3, 5, and 10 which means it can be divided by these numbers without leaving a remainder. For example, 600 divided by 2 equals  '300', 600 divided by 3 equals '200', 600 divided by 5 equals '120', and 600 divided by 10 equals '60'.

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135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

The prime factorization of 135 is 3^3 × 5.

The prime factorization of 135 is obtained by finding the prime numbers that divide 135 evenly, repeatedly dividing until the quotient is no longer divisible by any prime numbers.

Starting with the number 135, we can see that it is divisible by 3, so we divide 135 by 3:

135 ÷ 3 = 45

Now, we repeat the process with 45. It is also divisible by 3:

45 ÷ 3 = 15

Continuing, we divide 15 by 3:

15 ÷ 3 = 5

Now we have reached a quotient of 5, which is a prime number. We cannot divide it any further, so we have obtained the prime factorization of 135 as follows:

135 = 3 × 3 × 3 × 5

Therefore, the prime factorization of 135 is 3³ × 5.

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That's a trap ezoid , lower base b = 4 - -4 = 8, upper base B = 3 - -3 = 6 and height h = 2 - -2 = 4.

[tex]A = \frac 1 2 (b+B) h = \frac 1 2 (8 + 6)(4) = 28[/tex]

Answer: 28

The number of cabinets he must sell to breakeven is 9.

Breakeven is when the total cost and the revenue is zero. At the breakeven point, profit is zero.

Breakeven : total cost = revenue

1800 + 400x = 600x

In order to determine the value of x, take the following steps:

Combine similar terms:

1800 = 600x - 400x

Add similar terms together

1800 = 200x

Divide both sides of the equation by 200

x = 1800 / 200

x = 9

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To break-even, John Thunderhawk must sell 9 cabinets. After selling 9 cabinets, his revenue will start exceeding his costs, allowing him to make a profit.

The break-even point occurs when the total cost is equal to the total revenue.

We can find this point by setting the cost equation and the revenue equation equal to each other and solving for x :

Set the cost and revenue equations equal :

  Given that the cost equation is y = 1,800 + 400x, and the revenue equation is y = 600x , set these two equations equal to find the break-even point:

[tex]\[ 1,800 + 400x = 600x. \][/tex]

Rearrange the equation :

  Subtract 400x from each side:

 [tex]\[ 1,800 = 200x. \][/tex]

Solve for x :

  Divide by 200 to isolate x :

 [tex]\[ x = \frac{1,800}{200} = 9. \][/tex]

Therefore, to break-even, John Thunderhawk must sell 9 cabinets. After selling 9 cabinets, his revenue will start exceeding his costs, allowing him to make a profit.

Question :

John Thunderhawk is making furniture. He finds that to design a particular cabinet and set up his shop to produce it costs $1,800. Then the labor and supplies to build each one are $400. So his cost, y, for x items is represented by y=1,800 + 400x. He can sell the cabinets for $600. So his revenue, y, is represented by y=600x. The solution to this system of equations is his break-even point, the point beyond which he starts making a profit. How many cabinets must he sell to break-even?