Celine is 28, celines age is 4 more than 1/3 of drakes age. How old is drake?

Answer:

you can do it if you just persevere and then you will know the answer ok keep safe always

The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

X=4 Y=28

Step-by-step explanation:

We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.

Using 2x+4=12, we can solve for the x-value and replace it back into y.

2x+4=12
2x=8
x=4

We can replace our new x-value into the other equation, y=4x+12

y=4(4)+12
y=16+12
y=28

So x=4, and y=28

Answer:

The correct answer is,

\( \frac{7}{16} \)

hope it helps.

have a great day.

Answer:

1 3/4 ÷ 4 = 7/16.

Step-by-step explanation:

Is your answer.

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

1.333%

Step-by-step explanation:

I took the test and this was the answer<3

Answer: A.

Step-by-step explanation:

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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The net profit on sales ratio for the given financials is 15.68%

To calculate the net profit on sales ratio, also known as the profit margin ratio, you would divide the net profit by the total sales and multiply by 100 to express the result as a percentage.

The calculation is,

Net Profit on Sales Ratio = (Net Profit ÷ Total Sales) x 100%

Substituting the given values, we get

Net Profit on Sales Ratio = (R23,009 ÷ R146,700) x 100%

Do the arithmetic operations

= 15.68%

This means that for every Rand of sales generated, the company earned a profit of 15.68 cents.

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Answer:

Pink Starburst occupies 20% of the total bag space

Step-by-step explanation:

Given

Ratio of pink (P) starburst to yellow (Y) starbursts \(= 0.25\)

Mathematically, it can be written as

\(\frac{P}{Y} = 0.25\\Y = \frac{P}{0.25} \\Y = 4P\)

Then the % space taken by pink startburt is equal

\(\frac{P}{4P + P} \\= \frac{P}{5P}\\= \frac{1}{5}\\= 0.2\)

Hence, Pink Starburst occupies 20% of the total bag space

For exercise 1, the derivative of F(x) = 2x^3 - 3x^2 + 3/x^2 is f'(x) = 6x^2 - 6x + 6/x^3, obtained by applying the power rule. For exercise 2, the derivative of F(x) = (x^2 + 2x)(3x^2 - 4) is f'(x) = 12x^3 - 8x + 18x^2 - 8, obtained by expanding and differentiating each term separately using the power rule.

Exercise 1:

Given: F(x) = 2x^3 - 3x^2 + 3/x^2

To find the derivative f'(x), we first rewrite F(x) as a polynomial:

F(x) = 2x^3 - 3x^2 + 3x^(-2)

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 2x^3, we apply the power rule:

f'(x) = 3 * 2x^(3-1) = 6x^2

For the second term, -3x^2, the power rule gives:

f'(x) = -2 * 3x^(2-1) = -6x

For the third term, 3x^(-2), we use the power rule and the chain rule:

f'(x) = -2 * 3x^(-2-1) * (-1/x^2) = 6/x^3

Combining these derivatives, we get the overall derivative:

f'(x) = 6x^2 - 6x + 6/x^3

Exercise 2:

Given: F(x) = (x^2 + 2x)(3x^2 - 4)

To find the derivative f'(x), we expand the expression first:

F(x) = 3x^4 - 4x^2 + 6x^3 - 8x

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 3x^4, we apply the power rule:

f'(x) = 4 * 3x^(4-1) = 12x^3

For the second term, -4x^2, the power rule gives:

f'(x) = -2 * 4x^(2-1) = -8x

For the third term, 6x^3, we apply the power rule:

f'(x) = 3 * 6x^(3-1) = 18x^2

For the fourth term, -8x, the power rule gives:

f'(x) = -1 * 8x^(1-1) = -8

Combining these derivatives, we get the overall derivative:

f'(x) = 12x^3 - 8x + 18x^2 - 8

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Answer: 3

Step-by-step explanation:

I do not have time to explain but next time GET YOU A CALCULATOR and read.

Answer:

A = 540 m²

Step-by-step explanation:

consider the shape split into 3 rectangles

the length is divided into 3 congruent sections

single dash = 30 m ÷ 3 = 10 m

the width is divided into 3 congruent sections

double dash = 27 m ÷ 3 = 9 m

then area (A) is the total of the 3 rectangular areas

A of left rectangle = 10 × 9 = 90 m²

A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²

A of right rectangle = 10 × 27 = 270 m²

total area = 90 + 180 + 270 = 540 m²

A. The work done is 300 ft-lbs when a 100 lb rock is lifted to a height of 3 ft.

To calculate the work done, we can use the formula: Work = force x distance x cos(Ф).In this case, the force is the force of gravity acting on the rock, which can be calculated using the formula:

force = m * g

where m is the mass of the rock and g is the acceleration due to gravity (32.17 ft/s^2).

force = 100 lb * 32.17 ft/s^2 = 3,217 ft-lbs

The distance is the height to which the rock is lifted, which is 3 ft.

The angle of the rock to the vertical is 90 degrees, so cos(90) = 0.

So,

Work = force x distance x cos(theta) = 3,217 ft-lbs * 3 ft * 0 = 300 ft-lbs

So, the work done is 300 ft-lbs.

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The freezing point of a 0.33 m aqueous solution of Na₂SO₃ is -0.077 °C.

To find the freezing point of a solution, we can use the formula:

ΔTf = Kf · m

where ΔTf is the change in freezing point, Kf is the freezing point depression constant (for water, Kf = 1.86 °C/m), and m is the molality of the solution (in moles of solute per kilogram of solvent).

First, we need to calculate the molality of the solution:

m = moles of solute / mass of solvent (in kg)

We are given that the solution is 0.33 m, which means there are 0.33 moles of Na₂SO₃ per kilogram of water. The molar mass of Na₂SO is:

2 Na + 1 S + 3 O = 2(23.0 g/mol) + 32.1 g/mol + 3(16.0 g/mol) = 126.0 g/mol

So, 0.33 moles of Na₂SO₃ is equal to:

0.33 mol × 126.0 g/mol = 41.6 g

Since we have 1 kg of water, the mass of the solvent is 1000 g. Therefore, the molality of the solution is:

m = 41.6 g / 1000 g = 0.0416 mol/kg

Now, ΔTf = Kf · m = (1.86 °C/m) · (0.0416 mol/kg) = 0.077 °C

freezing point = 0 °C - ΔTf = 0 °C - 0.077 °C = -0.077 °C

Therefore, the freezing point of a 0.33 m aqueous solution of Na₂SO₃ is -0.077 °C.

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Answer: -1.84

Step-by-step explanation:

3x1.86x0.33=1.84

0.00-1.84= -1.84

late answer but hope it helps someone!

Answer:

4.5 = 7.01 - 2.51

Step-by-step explanation:

If you add 2.51 to 4.5, you'll get 7.01 which is your answer.

lmk if I'm wrong

Final Answer:  a. The number of units that should be sold in order to maximize the profit is 7 thousand units.

b. The  maximum profit is approximately $5.51

Conceptual part:   a. In order to find maximum profit we need to differentiate the profit function

\(dp/dx = (-3x^2+18x+21)/-x^3+9x^2+21x+1\) = 0

\(-3x^2+18x+21=0\)

\((x-7) (x+1) = 0\)

as profit can't be negative.

hence x=7.

b. We can determine the maximum profit by substituting x=7 in profit function.

\(p(7) = ln(-7^3+9*7+21*7+1)\)

\(p(7) = ln(246)\)

p(7) = 5.51

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the domain of the composition f(g(x)) is x ≥ -4, expressed in interval notation as (-4, ∞).

To find the composition f of g, we substitute the function g(x) into the function f(x). The composition is denoted as f(g(x)).

f(g(x)) = f(x - 1)

Replacing x in the function f(x) with (x - 1), we have:

f(g(x)) = √(3(x - 1) + 15)

Simplifying the expression inside the square root:

f(g(x)) = √(3x - 3 + 15)

f(g(x)) = √(3x + 12)

The composition of f(g(x)) is √(3x + 12).

To specify the domain of the composition, we consider the domain of g(x), which is all real numbers. However, since the function f(x) contains a square root, the argument inside the square root must be non-negative to ensure a real-valued result. Therefore, we set the expression inside the square root greater than or equal to zero:

3x + 12 ≥ 0

Solving this inequality, we have:

3x ≥ -12

x ≥ -4

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The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Categorical data can be either numeric or nonnumeric.

Categorical data can be described as a type of data that can be divided into group and given labels or numerical value for the sake of identification.

Some examples of numerical data are age group, race, sex, educational level, among others.

For example, we can give numerical values like 1 for male, and 2 for female when categorizing people based on sex.

Therefore, categorical data can be either numeric or nonnumeric.

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Answer:

P(t)=25000(1.12)^t

Step-by-step explanation:

only answering so i can go back to not watching ads :/ but hope u dont get it wrong even tho i gave right answer

Answer:

P(t) = 25000 x 1.12^t

Step-by-step explanation:

25000 times 1.12 because it is increasing by a factor of 1.12.

Answer:

The answer is 5/12. I hope this helps you! :)

The debt to income ratio of Jada is 0.74.

Given that,

Now we have to find the debt to income ratio.

So following formula be used:

= Monthly expense ÷ monthly salary

= $1,850 ÷ $2,500

= 0.74

Therefore we can conclude that the debt to income ratio of Jada is 0.74.

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Answer:

a

Step-by-step explanation:

Answer:

b=4 and a does not equal 3

Step-by-step explanation:

For the system to have no solutions

The x terms have to have the same coefficient and the constants have to be unequal

b=4 and a does not equal 3

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78