What is the Scale factor

Answer:

2.1 m

Step-by-step explanation:

The gutter is in the shape of a cylinder.

Its volume is 20 liters and its diameter is 11 cm (0.11 m).

Its radius is half of its diameter => r = 0.055 m.

The volume in cubic metres:

1 litre = 0.001 cubic metres

20 litres = 20 * 0.001 = 0.02 cubic metres

The volume of a section of guttering is given as:

\(V = \pi r^2h\)

where h = length of the guttering

Therefore:

\(0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m\)

The length of the section of guttering is 2.1 m long.

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

Answer:

1261.1 revolutions

Step-by-step explanation:

Given

\(d = 16in\) --- the diameter

\(Distance = 5280ft\)

Required

The number of revolution completer

First, calculate the circumference (c) of the tire

\(c = \pi d\)

\(c = 3.14 * 16\)

\(c = 50.24\)

Let the number of revolutions be n.

The product of n and the circumference equals to the total distance travelled.

So:

\(c * n = 5280 ft\)

\(50.24in* n = 5280 ft\)

Make n the subject

\(n = \frac{5280 ft}{50.24in}\)

Convert feet to inch

\(n = \frac{5280 *12in}{50.24in}\)

\(n = \frac{63360in}{50.24in}\)

\(n = \frac{63360}{50.24}\)

Solve for n

\(n = 1261.14649682\)

Approximate

\(n = 1261.1\)

Answer:

10.2 m/h

Step-by-step explanation:

im pretty sure lol

Answer:

10.2 m/h

Step-by-step explanation:

Responder:

1/15

Explicación paso a paso:

Dado que :

Número bolas verdes = 3

Número de bolas rojas = 5

Número de bolas azules = 2

Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = 3 + 5 + 2 = 10

P (1er azul) = número de azules / 10

P (1er azul) = 2/10 = 1/5

Sin reemplazo :

Total restante = 10 - 1 = 9

P (segundo verde) = número de verdes / 9 = 3/9

Probabilidad del primer azul y del segundo verde:

1/5 * 3/9 = 3/45 = 1/15

The probability that the first is blue and the second is green is 1/15

Probability is the likelihood or chance that an event will occur.

If a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls

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Answer:

Example: If the spinners is divided into 4 than it will be 1/4 or if it is divided into 8 than it will be 1/8 .

Step-by-step explanation:

Answer :

\(\frac{79}{10}\)

Answer:

The answer is 79 over 10!

Also, Broccoli boi is cool

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm

The inequality which can be used to determine amount the club needs to raise during remaining months is 400 + 4n ≥ 750.

The goal of the school chess club is to raise at least $750 in total so that they can attend a state competition. They have already raised $400, but they still need to raise more money. Let's call the amount they need to raise each month "n".

Since the club has 4 months remaining until the competition, they will need to raise a total of "4n" dollars during that time period.

To determine the minimum amount they need to raise each month, the inequality can be written as : 400 + 4n ≥ 750,

4n ≥ 350 ; n ≥ 87.5.

This means that the chess-club needs to raise at least $87.50 each month in order to reach their goal of $750 in 4 months.

Therefore, the required inequality is 400 + 4n ≥ 750.

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The given question is incomplete, the complete question is

A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Write an inequality which can be used to determine the dollar amount the club will need to raise during the remaining months?

Answer:

Interval Notation:

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

The answer is 18,480

l

\(x1 = 8 \\ x2 = - 4\)

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

The formula for finding the discriminant is

\(b^2 - 4ac\)

The solution contains the term \(\sqrt{b^2 - 4ac}\) which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation \(2x^2 - 7x - 9\)

\(b^2 - 4ac\)

\(= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121\)

This equation has two real number solutions.

For the quadratic equation \(4x^ 2 - 3x- 1\)

\(b^2 - 4ac\)

\(= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25\)

This equation will have two real number solutions.

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Answer: A, C, D

Step-by-step explanation:

To determine if the polynomial p(x) = x^4 + x^3 + 1 is irreducible in Z2[x] (the polynomial ring over the field Z2), we can check if it has any roots in Z2 (the field with two elements, 0 and 1).

The polynomial p(x) = x^4 + x^3 + 1 is irreducible in Z2[x], and it is also primitive in Z2[x], generating a finite field with the following elements

{0, 1, a, a^2, a^3, a^4, a^5, a^6, a^7}

We can try substituting both 0 and 1 into p(x) and see if either of them yields a zero result:

p(0) = 0^4 + 0^3 + 1 = 1 (not equal to 0)

p(1) = 1^4 + 1^3 + 1 = 1 + 1 + 1 = 1 (not equal to 0)

Since p(0) and p(1) are both nonzero, p(x) does not have any roots in Z2. Therefore, it is not possible to factor p(x) into linear terms in Z2[x]. This suggests that p(x) is irreducible in Z2[x].

Next, we can try to determine if p(x) is primitive in Z2[x], which means the powers of the root (denoted as a) can generate all nonzero elements in the finite field Z2[x]/(p(x)).

Since p(x) is irreducible, the field Z2[x]/(p(x)) is a finite field with 2^4 = 16 elements. To check if p(x) is primitive, we can calculate the powers of a (the root of p(x)) and see if they generate all the nonzero elements in the field.

Let's find the powers of a by performing the calculations modulo p(x):

a^0 = 1

a^1 = a

a^2 = a * a = a^2

a^3 = a^2 * a = a^3

a^4 = a^3 * a = a^4 = a * a^3 = a * (a^2 * a) = a * (a^3) = a^2

a^5 = a^2 * a = a^3

a^6 = a^3 * a = a^4 = a

a^7 = a * a^3 = a^2

a^8 = a^2 * a^2 = a^4 = a

a^9 = a * a^4 = a^2

a^10 = a^2 * a^4 = a^3

a^11 = a^3 * a^4 = a^4 = a

a^12 = a * a^4 = a^2

a^13 = a^2 * a^4 = a^3

a^14 = a^3 * a^4 = a^4 = a

a^15 = a * a^4 = a^2

By calculating the powers of a, we have obtained a total of 8 distinct nonzero elements in the field Z2[x]/(p(x)), namely:

{1, a, a^2, a^3, a^4, a^5, a^6, a^7}

Therefore, since these powers of a generate all nonzero elements in the field, we can conclude that p(x) is primitive in Z2[x].

In summary, the polynomial p(x) = x^4 + x^3 + 1 is irreducible in Z2[x], and it is also primitive in Z2[x], generating a finite field with the following elements:

{0, 1, a, a^2, a^3, a^4, a^5, a^6, a^7}

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Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

Since x=−23 x = - 2 3 is a vertical line, the slope is undefined

Answer:

Since x=−23 x = - 2 3 is a vertical line, the slope is undefined.

Step-by-step explanation:

If the demand for bananas at $2 per pound is 10 pounds, then the suppliers will supply 10 pounds of bananas.

The question is about determining the number of pounds of bananas suppliers will supply at a given price of $2 a pound.

To determine the number of pounds of bananas suppliers will supply, we need more information than just the price of bananas.

Supply is affected by many factors like cost of production, demand, and the price of substitutes.

Suppliers will supply bananas to the market until the price they get equals the cost of production plus a margin.

If the price is higher than the cost of production plus a margin, then they will continue to supply to maximize their profits.

In the given question, we don't have enough information about the cost of production, demand, and substitutes. Therefore, we cannot accurately predict the amount of pounds of bananas that will be supplied.

However, if we assume that the cost of production is constant and there are no substitutes, then the suppliers will supply bananas at a price of $2 per pound until the market reaches equilibrium.

At equilibrium, the quantity supplied equals the quantity demanded.

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Answer:

4.84cm squared

Step-by-step explanation:

square has 4 equal sides area = l x w l and w are 2.2*2.2

2.2*2

4.84cm squared

Hope this helps :D

Answer:4.84 cm^2

Step-by-step explanation:

Area = Length x Width

Area = 2.2 x 2.2

Area = 4.84 cm^2 (centimeters squared)

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

Numbers written on slips are 1,2,3,4,5,6,7,8,9,10

I)Probability of getting number =1/10

ii)Number less than 6 are 1,2,3,4,5

Probability of getting number less than 6 =5/10=1/2

iii)Probability of getting number greater than 6 =4/10=2/5

iv)Probability of getting one digit number = 9/10

Step-by-step explanation:

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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Answer:

1. \(c = \sqrt{2}\).

2. b = 4.

Step-by-step explanation:

To solve these two questions, keep the Pythagorean Theorem in mind: \(a^2 + b^2 = c^2\). Also remember that measurements cannot be negative, so we will disregard the negative answers.

1. a = 1, and b = 1. c = ?

\(1^2 + 1^2 = c^2\)

\(1 + 1 = c^2\\\)

\(c^2 = 1 + 1\\c^2 = 2\\\sqrt{c^2} = \sqrt{2}\\c = \sqrt{2}\)

2. a = 3, c = 5. b = ?

\(3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\\sqrt{b^2} = \sqrt{16}\\b = 4\)

Hope this helps!

Answer:

Step-by-step explanation:

attached.....

Answer:

50,000

Step-by-step explanation:

the number 5 is located in the position of tenth thousand

Answer:

Digit 5 = 50,000

Step-by-step explanation:

Value means the same as Total Value (NOT Place value)

Total value of 4,356,869

4 - 4,000,000

3 - 300,000

5 - 50,000

6 - 6,000

8 - 800

6 - 60

9 - 9

Digit 5 = 50,000

Answer:

x,y \(( \frac{2}{61})(\frac{91}{61} )\)

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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