Put these numbers from least to greatestsquare root 43, pi, 6, 2squareroot2

Answer:

4 2/3

Step-by-step explanation:

7/9 multiplied by 6/1 = 42/9

Simplify: 14/3

Turn it into a mixed number: 4 2/3

The value of K = 0.044999999 and the initial value of Machine Vo = 949999.9952

The value of a machine is depreciating using the exponential function = 0 − where k is a constant, 0 is initial value of the machine and t is time in years. The value of the machine after 5 years is Sh. 758,590.4078 and its value after 8 years is Sh. 662,792.5098.

According to Exponential function

\(V = Voe^-Kt\)

where K = constant

Vo = Initial value

At = t = 5

V = 758590.4078

At = t = 8

V = 662792.5098

\(V_{Q} = Voe^{-Kt}\)

758590.4078 = \(Voe^-5t\)   --- equation 1

662792.5098 = \(Voe^{-8k}\)   --- equation 2

Dividing equation 1 by 2

1.144536784 = \(e^{3k}\)

Taking log on both the sides

3k = 0.134999999

K = 0.044999999

At t = 5 years

\(V = Voe^{-5k}\)

758590.4078 = \(Voe^{-5k}\)

\(Vo = \frac{758590.4078}{e^{-5(0.044999999)}}\)

Vo = 949999.9952

Hence the answer is the value of K = 0.044999999 and the initial value of Machine Vo = 949999.9952

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

10(x+y)

Step-by-step explanation:

the sum is addition

y = (1/2)x - 9/2

==========================================================

Explanation:

The equation y+2x = 1 solves to y = -2x+1 after subtracting 2x from both sides.

That second equation is in the form y = mx+b

The slope in this case is m = -2. Flip the fraction and flip the sign to get 1/2.

The original slope is -2 and the perpendicular slope is 1/2. The two slopes multiply to -1.

We'll use this new slope as the m value, along with the coordinates (7,-1) to solve for b like so:

y = mx+b

-1 = (1/2)*7+b

-1 = 3.5+b

-1-3.5 = b

-4.5 = b

b = -4.5

b = -9/2

Since m = 1/2 and b = -9/2, this means we go from y = mx+b to y = (1/2)x-9/2 which is choice C

The graph is below.

Answer:

the answer is the last option

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

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

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

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

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Answer:

it's 47÷4=11 3/4 will be your final answer

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Answer:

Step-by-step explanation:

Answer: The line segments are equal in length

AC = BC = 5

Step-by-step explanation:

PLATO answer

Answer:

Step-by-step explanation:

Given Parmesan cheese was on sale for  $13.60 per pound

Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds

we need to spend$13.60 for 1 pound

for 11/8 pound

11/8 x 13.60= 18.72

So Wesley need to spend $18.70 to get the Parmesan cheese.

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

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The area of the trapezoid below is 144 centimetres squared.

A trapezoid is a quadrilateral that has sum of interior angles as 360 degrees. The two base of a trapezoid are parallel to each other.

Opposite angles are supplementary in a trapezoid.

Therefore, let's find the area of the trapezoid as follows:

area of a trapezoid = 1 / 2 (a + b)h

where

Hence,

a = 9.5 cm

b = 14.5 cm

h = 12 cm

Therefore,

area of the trapezoid = 1 / 2 (9.5 + 14.5)12

area of the trapezoid = 1 / 2 (24)12

area of the trapezoid = 24 × 6

Therefore,

area of the trapezoid = 144 cm²

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Answer:

Step-by-step explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14   {subtract 26x form both sides}

28x - 26x = 14

          2x = 14   {divide both side by 2}

        2x/2 = 14/2

             x = 7

KL = 14x = 14*7

KL = 98

You have the following function:

f(x) = x^3 - x^2 - 3x - 1

Consider that factor theorem states that if the remainder of the division between f(x) and x-a is zero, then, x-a is a factor of f(x).

In this case, you have that the division:

x^2 - 2x - 1

x + 1 l x^3 - x^2 - 3x - 1

-x^3 - x^2

-2x^2 -3x - 1

2x^2 +2x

-x - 1

x + 1

0

The remainder of the previous division is zero, then, x + 1 is a factor of f(x)

Answer:

r = \(\frac{120t}{120-t}\)

Step-by-step explanation:

Multiply both sides by r + 120.

t (r + 120) = 120r

Expand.

tr + 120t = 120r

Subtract tr from both sides.

120t  = 120r - tr

Factor out the common term r.

120t = r (120-t)

Divide both sides by 120 - t.

\(\frac{120t}{120-t}\) = r

Finally, switch r to the left side and you get your answer.

//also, sorry for answering late.. my wifi is poopy//

Step-by-step explanation:

hope this answer helps you dear...if u have any doubt feel free to ask!

Answer:

The perimeter is the sum of the length of all the sides. So if we call perimeter P,

P = 2(length) + 2(breadth)

because there are two sides for each.

So to find x, use the formula above and equate to the perimeter given. Then find the length and breadth by just substituting.

Let me know if there's something you don't get.

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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Answer:

60 degrees

Step-by-step explanation:

it has to be.

Answer:

it's D

Step-by-step explanation:

got it right edge 2021

Answer:

A) 1/4=X/64

Step-by-step explanation:

It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.

Hope that helps!

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

x = 11

Step-by-step explanation:

8x - 8 + 30 = 11x -11

3x = 33

x = 11

Answer:

x=11

Step-by-step explanation:

8x-8+30+11x-11

3x=33

x=11

hehe the same as her/him

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same