L=wh/a(w+p) Make w the subject of the formula​

Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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Extra info:

Answer:

Step-by-step explanation:

√12 + √125 - √50+ √180​ =

2 × √3 +√ 125 - √50 + √180 =

2√3 + 5√5 - 5√2 + 6√5 =

2√3 + 11√5 - 5√2

or

≅20.98

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

72

Step-by-step explanation:

If he worked on saturday for four hours  he got 36 dollars and worked the same time on sunday he 36+36=72 dollars

Answer:

Total Earned Saturday: $45

Total Earned Sunday: $63

Total: $108

Step-by-step explanation:

Time and a quarter means that you divide his normal rate by 4 and add that to his normal rate:

9/4 = 2.25     2.25 + 9 = 11.25

Jarvis makes $11.25 an hour on Saturdays. Since he worked 4 hours, you multiply 11.25 x 4 = 45.

Time and three quarters means that you multiply his normal rate by 3/4 and add that to his normal rate:

9x0.75 = 6.75     6.75 + 9 = 15.75

Jarvis makes $15.75 an hour on Sundays. Since he worked 4 hours, you multiply 15.75 x 4 = 63.

To get the total, you add his earnings on Saturday and earnings on Sunday:

45 + 63 = 108.

I hope this helped you. If it did, please feel free to rate and press thanks! Have a splendid day.

The surface integral in terms of ρ and θ ∫∫S.((6y - 5)e^(x^2))

To evaluate ∬s.curl F•nds using Stokes' Theorem, we first need to find the curl of the vector field F and then compute the surface integral over the given surface S.

Given vector field F = (6yz)i + (5x)j + (yz(e^(x^2)))k, let's find its curl:

∇ × F = ∂/∂x (yz(e^(x^2))) - ∂/∂y (5x) + ∂/∂z (6yz)

Taking the partial derivatives, we get:

∇ × F = (0 - 0) i + (0 - 0) j + (6y - 5)e^(x^2)

Now, let's parametrize the surface S, which is the portion of the paraboloid z = (1/4)x^2 + y^2 for 0 ≤ z ≤ 4. We can use cylindrical coordinates for this parametrization:

r(θ, ρ) = ρcos(θ)i + ρsin(θ)j + ((1/4)(ρcos(θ))^2 + (ρsin(θ))^2)k

where 0 ≤ θ ≤ 2π and 0 ≤ ρ ≤ 2.

Next, we need to find the normal vector n to the surface S. Since S is oriented upward, the normal vector points in the positive z-direction. We can normalize this vector to have unit length:

n = (∂r/∂θ) × (∂r/∂ρ)

Calculating the partial derivatives and taking the cross product, we have:

∂r/∂θ = -ρsin(θ)i + ρcos(θ)j

∂r/∂ρ = cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k

∂r/∂θ × ∂r/∂ρ = (-ρsin(θ)i + ρcos(θ)j) × (cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k)

Expanding the cross product, we get:

∂r/∂θ × ∂r/∂ρ = (ρcos(θ)(1/2)(ρcos(θ)) - (1/2)(ρcos(θ))(-ρsin(θ)))i

+ ((1/2)(ρcos(θ))sin(θ) - ρsin(θ)(1/2)(ρcos(θ)))j

+ (-ρsin(θ)cos(θ) + ρsin(θ)cos(θ))k

Simplifying further:

∂r/∂θ × ∂r/∂ρ = ρ^2cos(θ)i + ρ^2sin(θ)j

Now, we can calculate the surface integral using Stokes' Theorem:

∬s.curl F•nds = ∮c.F•dr

= ∫∫S.((∇ × F)•n) dS

Substituting the values we obtained earlier:

∫∫S.((∇ × F)•n) dS = ∫∫S.((6y - 5)e^(x^2))•(ρ^2cos(θ)i + ρ^2sin(θ)j) dS

We can now rewrite the surface integral in terms of ρ and θ:

∫∫S.((6y - 5)e^(x^2))

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Answer:

1/10​b

Step-by-step explanation:

subtract 1/2 and 2/5 and you get then answer just add the b at the end of your answer.

Hope this helps! :)

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

1

Step-by-step explanation:

Sorry if wrong! have a wonderful day!

Answer:

b

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

668 x 10 = 6,680

The value of x is 0.5

The equation is given as:

(x -2)(x + 3) = (x - 2)(4 - x)

Divide both sides by x - 2

x + 3 = 4 - x

Evaluate the like terms

2x = 1

Divide by 2

x = 0.5

Hence, the value of x is 0.5

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Answer: 36

Step-by-step explanation:

When handling exponents, we have to remember that we're multiplying a number by itself x amount of times

3^3 + (3^2) Parenthesis first

3^3 + (3 x 3)

3^3 + 9 Next Exponents

3 x 3 x 3 + 9

27 + 9  Add

36

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

Okay I got youuu

Step-by-step explanation:

From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.

The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!

Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

Answer:

x^2 -9

Step-by-step explanation:

(x + 3)(x − 3)

FOIL

first x*x =x^2

outer -3x

inner 3x

last -3*-3 =-9

Add together

x^2 -3x+3x -9

Combine like terms

x^2 -9

Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x - 6 = 3

3x = 9

x = 3

Answer:

3-15

Step-by-step explanation:

Answer:

12

Step-by-1step explanation:

THE RANGE IS THE BIGGEST NUMBER MINUS THE SMALLEST NUMBER SO 15 - 3 = 12 (sorry for caps lock)

Hope this helps!! Have a great day and don't forget, you are loved.

Answer:

actually it's 0

Step-by-step explanation:

all of them have 1-1 and that is 0 and no matter what number you divide it by you will get 0

pls give me brainlest

Answer:

C

I hope it helps.

Answer:

x = 590/11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

50 + x + 10 + 8x + 2x = 650

Step 2: Solve for x

Answer:

x= 590/11

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

In the question, we are given a set A = {10, 11, 12, 13}.

We are asked for the cardinal number of the set n(A).

Also, we are asked for the number of non-empty subsets of A.

The cardinal number of any set A is given as n(A), which represents the number of elements in set A.

For the given set A = {10, 11, 12, 13}, the number of elements are 4.

Thus, the cardinal number of the set A is, n(A) = 4.

The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.

Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.

Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

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This is the formula that represents how much money needs Alberto to buy a pair of shoes.

To solve this equation, first, subtract 32 to both sides of the equation:

Thus, he still needs to save $18 to buy the shoes.

The values of the trigonometry formulas are sin(240) = -sin(60), cos(225) = -cos(45) and tan(225) = tan(45)

The trigonometry ratios are given as

sin(180 - ∅) = sin(∅)

cos(180 - ∅) = -cos(∅)

tan(180 - ∅) = -tan(∅)

Also, we have the following trigonometry ratios are given as

sin(180 + ∅) = -sin(∅)

cos(180 + ∅) = -cos(∅)

tan(180 + ∅) = tan(∅)

Using the above trigonometry ratios, we  have

sin(240) = sin(180 + 60)

By comparison, we have

sin(240) = sin(180 + 60)

sin(180 + ∅) = -sin(∅)

This gives

∅ = 60

So, we have

sin(180 + 60) = -sin(60)

Evaluate

sin(240) = -sin(60)

Using the above trigonometry ratios, we  have

cos(225) = cos(180 + 45)

By comparison, we have

cos(225) = cos(180 + 45)

cos(180 + ∅) = -cos(∅)

This gives

∅ = 45

So, we have

cos(180 + 45) = -cos(45)

Evaluate

cos(225) = -cos(45)

Using the above trigonometry ratios, we  have

tan(225) = tan(180 + 45)

By comparison, we have

tan(225) = tan(180 + 45)

tan(180 + ∅) = tan(∅)

This gives

∅ = 45

So, we have

tan(180 + 45) = tan(45)

Evaluate

tan(225) = tan(45)

Hence, the value is tan(225) = tan(45)

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Answer:

54

Step-by-step explanation:

75% of 72 is 54

Answer:

96

Step-by-step explanation:

72 is 75% of 96.

72 ÷ 75% = 96