You pay $2 to play a game where if the spinner lands on blue then you win a $1 prize, purple or yellow a $3 prize, or red a $10 prize.


Is the game fair?

Answer:

110

Step-by-step explanation:

nth term = 3n + 2

3 (36) + 2

108 + 2 = 110

Answer:

The 36th term in the sequence is 104.

Here's how to find it:

- Start with the first number in the sequence: 5.

- Add the common difference, which is 3, to get the second number in the sequence: 8.

- Add the common difference to the second number to get the third number: 11.

- Continue adding the common difference to each subsequent number to find the next term in the sequence.

- The 36th term is three less than 37 times the common difference added to the first term.

- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.

- Therefore, the 36th term in the sequence is 104.

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

6 and 3/5

Step-by-step explanation:

A and C are separated by 21.14 miles. The right answer is A.

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.

Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.

The following formula will be used to determine how far A is from C:

2×15×10×cos(180-66)=15²+10²-AC²

-300 cos 66=225+100-AC²

AC=√(325+300 cos 66)

AC = 21.17 m/s

As a result, A and C are separated by 21.14 miles. The right

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Step-by-step explanation:

64 crayons school order 25 for the art class there are 5 art class they should be share evenly

Answer:

29 beads

Step-by-step explanation:

Red beads: 10

Green beads: 10 - 5 = 5

Yellow beads: 10 + 4 = 14

Add, 10 + 5 + 14 = 29

Albert has 29 total beads

Have a wonderful day! :)

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

It always happens because you asked the question

Step-by-step explanation:

The solution of the expression is,

⇒ x = - 1 and x = 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Solve the expression,

x² – 3x − 2 = x + 3

Now, We can simplify as;

x² – 3x − 2 = x + 3

x² – 3x − 2 - x - 3 = 0

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x (x - 5) + 1(x - 5) = 0

(x + 1) (x - 5) = 0

x = - 1

x = 5

Thus, The solution of the expression is,

⇒ x = - 1 and x = 5

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Answer:

D

Step-by-step explanation:

Answer:

$146.44 or $446.44

Step-by-step explanation:

Hope this helped.

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

a. A hen needs 9,125 grasshoppers per year

b. 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

c. The total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg

d. 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

Step-by-step explanation:

a. To calculate the number of grasshoppers a hen needs per year.

There are 365 days days in a year.

From the question,  1 hen eats 25 grasshoppers/day

If 1 hen eats 25 grasshoppers per day, then

1 hen will eat 25 × 365 grasshoppers per year

25 × 365 = 9125

Hence, a hen needs 9,125 grasshoppers per year.

b. To determine how many grasshoppers are needed for a year's supply of hens for the farmer each year

From the question, The farmer lives on 1 hen/day for a year.

That is, for a year, the farmer lives on 365 × 1 hen = 365 hens

Now, we will determine how many grasshoppers 365 hens will need for a year.

Since, a hen needs 9,125 grasshoppers per year

Then, 365 hens will need 365 × 9125 grasshoppers per year

365 × 9125 = 3330625 grasshoppers

Hence, 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year.

c. To determine the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year

From the question, 1,000 grasshoppers have a mass of 1 kg.

That is, 1,000 grasshoppers have a mass of 1000 g

(NOTE: 1000g = 1kg)

If 1,000 grasshoppers have a mass of 1000 g

Then, 1 grasshopper will have a mass of (1 × 1000) /1000 = 1 g

From b., the total number of grasshoppers needed to feed all the hens for one year is 3,330,625 grasshoppers.

Now, we will determine the mass of 3,330,625 grasshoppers

1 grasshopper have a mass of 1 g

∴ 3,330,625 grasshoppers will have a mass of (3,330,625 × 1) / 1 = 3,330,625 g

Now, we will convert this to kilograms (kg)

If 1000 g = 1 kg

Then, 3,330,625 g = (3,330,625 × 1) / 1000 = 3330.625 kg

Hence, the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg.

d. To determine how many kilograms of soybeans are needed to feed all the grasshoppers for one year

From the question, 1 grasshopper requires about 30 g of soy/yr

From b., 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

If 1 grasshopper requires about 30 g

Then, 3,330,625 grasshoppers will require (3,330,625 × 30) / 1 = 99918750 g of soy/yr

Now, we will convert this to kilograms

If 1000 g = 1 kg

Then, 99918750g = (99918750 × 1) / 1000 = 99918.750 kg

Hence, 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

Step-by-step explanation:

hi there is that OK bye por a tex dimu tho and I

Answer:

-3/2

Step-by-step explanation:

use slope formula

\(m = \frac{ - 1 - ( - 7)}{3 - 7} \)

\(m = \frac{6}{ - 4} \)

\(m = - \frac{3}{2} \)

Answer:

Sales tax: $31.51

■ Cost/Price before ST: $450.12

■ Total Cost/Price including ST: $481.63

Step-by-step explanation:

it is what it is.

An inequality that represents this word sentence is 1 + y ≤ -13.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Word:

One plus a number y is no more than −13.

No more than means it can be equal or less

So,

This can be written as,

1 + y ≤ -13

Thus,

1 + y ≤ -13

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Answer:

Form W-4

Step-by-step explanation:

Got a 100 on the test :)

The correct form which does an employee fill out to establish tax withholding from a paycheck is,

⇒ Form W - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find for beginning a new job, which form does an employee fill out to establish tax withholding from a paycheck.

We know that;

Form W-4, Employee's Withholding Certificate, is generally completed at the start of any new job.

This form tells your employer how much federal income tax withholding to keep from each paycheck.

Hence, The correct form which does an employee fill out to establish tax withholding from a paycheck is,

⇒ Form W - 4

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Answer:

  (b)  14

Step-by-step explanation:

You want the difference of functions f(x) = 3x² +1 and g(x) = 1 -x when x=2.

The notation (f -g)(x) means f(x) -g(x). Then (f -g)(2) is ...

  f(2) -g(2) = (3·2² +1) -(1 -2) = 13 -(-1) = 14

The value of (f -g)(2) is 14.

Answer:

A and C

Step-by-step explanation:

A)  y = (1/2)x + 2    {Compare with y =mx +b}

slope = (1/2)

C) y = -2x + 4

Slope = -2

\(\dfrac{1}{2}*-2 = -1\)

When product of two slopes is (-1), then the lines are perpendicular.

Answer:

x= 10

Scale factor is 2 based on the vertical side of the triangle.

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

Number of  different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways

Step-by-step explanation:

Step 1: Stating the combination formula

The number of selections of a number n, taking r at a time is given by the formula: \(\frac{n!}{(n - r!)r!}\)

From the formula above, n is population size = 8

r is sample size = 5

Step 2: Substituting the values of n and r

Number of  possible selections =  8!/(8 -5)*5! = 8!/3! * 5!

Number of  possible selections = \(\frac{8*7*6*5*4*3*2*1}{3*2*1 * 5*4*3*2*1}\)

Number of  possible selections = 56

Therefore, number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways

Answer:

  (x, y, z) = (45°, 57°, 78°)

Step-by-step explanation:

The problem statement tells you ...

  x + y + z = 180

  -3x +y +z = 0

  0x -y +z = 21

__

Subtracting the second equation from the first gives ...

  4x = 180

  x = 45 . . . . . . divide by 4

Substituting this into the first equation and adding the third equation gives ...

  (45 +y +z) +(-y +z) = (180) +(21)

  2z = 156 . . . . simplify, subtract 45

  z = 78 . . . . . . divide by 2

  y = z -21 = 57

The angle measures are ...

  (x, y, z) = (45°, 57°, 78°)

Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

Answer:

3 1/3 divided by 5= 2/3 or 0.6

2 2/3 divided by 4= 2/3 or 0.6

Step-by-step explanation:

if this is correct can i get brainliest and i hope this helps

(:

The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:

32/12 and 27/12.

The mixed numbers in the context of this problem are given as follows:

The fractions that represent each number are given as follows:

The least common factor of 3 and 4 is given as follows:

3 x 4 = 12.

Hence the equivalent fractions are given as follows:

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

okay i'll keep this in mind

Step-by-step explanation:

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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