I am a High School Aged girl who is the smartest in my school.
I just have one question that I can NEVER figure out the answer to:
9 + 10 = 21, right?

Do YOU dare tell me I'm wrong? :o

Lori made a cake. Her brother ate 3 quarters of it. What decimal best represents 3/4?

We can calculate 3/4 in decimal form by dividing 3 by 4.

This gives us:

Also, we can think of it like that: each quarter is 0.25 of the cake. If he ate 3 quarters, it means that he ate 3*0.25 = 0.75 of the cake.

The answer is option F: 0.75.

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Answer:

11 remainder 26

Step-by-step explanation:

The diagram for each is shown below. I used GeoGebra to make it.

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Problem 1

The regular octagon has a perimeter of 80 feet. Assuming this is a regular octagon (i.e. all 8 sides are the same length), then we know that each side is 80/8 = 10 feet long.

We'll use n = 8 and s = 10 in the formula below to find the area.

\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*8*10^2*\cot(180/8)\\\\A = 0.25*8*10^2*\cot(22.5)\\\\A = 0.25*8*10^2*\frac{1}{\tan(22.5)}\\\\A \approx 482.8427\\\\A \approx 483\\\\\)

The octagon has an area of roughly 483 square feet.

The square also has a perimeter of 80 feet. All four sides are the same length, so each side is 80/4 = 20 feet long. The area of this square is s^2 = 20^2 = 400 square feet.

Area of the octagon = 483 square feet (approximate)

Area of the square = 400 square feet (exact)

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Problem 2

Divide 360 over the central angle to find out how many sides this regular polygon has

360/18 = 20

This is a 20 sided polygon (aka icosagon).

Since this polygon has 20 sides of the same length, and the perimeter is 144 ft, this means each side must be 144/20 = 7.2 feet long exactly.

The inputs we'll use are

n = 20, s = 7.2

And we'll use that formula from problem 1 to find the area of this regular polygon.

\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*20*(7.2)^2*\cot(180/20)\\\\A = 0.25*20*(7.2)^2*\cot(9)\\\\A = 0.25*20*(7.2)^2*\frac{1}{\tan(9)}\\\\A \approx 1636.5244\\\\A \approx 1636.5\\\\\)

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Problem 3

There are two types of radius when it comes to describing a regular polygon.

The inradius stretches from the center of the polygon to the midpoint of any given side. This produces the inscribed circle. It is the largest circle that fits perfectly inside the polygon without spilling over.

The circumradius goes from the center of the polygon to the vertex or corner point. This helps form the circumscribed circle. It is the smallest circle where it completely encloses the polygon without going inside the boundaries.

I'll assume your teacher is talking about the circumradius here.

If we know the circumradius is r = 5.5 feet and we have n = 6 sides, then the area of the regular hexagon is...

\(A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*(5.5)^2*\sin(360/6)\\\\A = 0.5*6*(5.5)^2*\sin(60)\\\\A \approx 78.5918\\\\\)

The hexagon has an area of roughly 78.5918 square feet.

The cost to refinish the floor is $2.50 per square foot.

The total cost is 2.50*78.5918 = 196.4795 = 196.48 dollars.

Price Ceiling: A price ceiling is a government-imposed maximum price set below the equilibrium market price.

It is intended to protect consumers by keeping prices low and affordable for certain goods or services.

Price ceilings are often implemented during times of market shortages or to control inflation.

Price Floor: A price floor is a government-imposed minimum price set above the equilibrium market price.

It is intended to protect producers by ensuring they receive a certain level of income for their goods or services.

Price floors are often used in agricultural markets or to establish minimum wage laws.

Value-based Pricing vs. Cost-based Pricing: Both value-based pricing and cost-based pricing approaches have their advantages and disadvantages.

Value-based pricing focuses on determining the perceived value of a product or service to customers and pricing it accordingly.

This approach considers the benefits and value that customers derive from the product and sets the price based on what customers are willing to pay.

Value-based pricing allows for higher profit margins and takes into account customer preferences and willingness to pay.

Cost-based pricing, on the other hand, sets prices based on the production costs and desired profit margin.

It involves calculating the total cost of producing the product and adding a markup to determine the selling price.

Cost-based pricing is more straightforward and easier to implement, as it relies on the actual costs incurred in producing the product.

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Answer:

14

Step-by-step explanation:

Ok, 60! is a really big number

\(x!=x(x-1)(x-2)...1\)

So we have 60*59*58...*1

2 times 5 is 10 which makes a terminal zero (ending zero)

We need to count how many fives and twos are in 60!

There are 60/5=12 5^1's

There are 60/25=2 5^2's

So 12+2=14

There are way more 2's than fives so we take the lesser number

So the answer is 14

*Note that 60/25 is not 2, we need an integer rounded down

The height of the kite above Brian's head is approximately 186 meters.To determine the height of the kite above Brian's head, we can use trigonometry and the given angle of elevation.

Let's consider the right-angled triangle formed by the kite string, the height of the kite, and the horizontal distance from Brian to the kite. The angle of elevation, 70°, is the angle between the horizontal ground and the kite string. In this triangle, the opposite side represents the height of the kite, and the hypotenuse represents the length of the kite string, which is 65 meters. Using the trigonometric function tangent (tan), we can set up the following equation: tan(70°) = height / 65. Solving for the height, we have: height = tan(70°) * 65. Calculating this value, we find: height ≈ 185.55.

Rounding this to the nearest whole number, the height of the kite above Brian's head is approximately 186 meters.

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Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

sorry bro i let my brother try to solve random problems on here

Answer:

\(x=-6,\: x=1\)

Step-by-step explanation:

\((x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1\)

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The first number, 5 x \(10^22,\) can be written as 5 followed by 22 zeros:

5,000,000,000,000,000,000,000

To simplify means to make something easier to understand or do by reducing complexity, removing unnecessary details, or using simpler language or concepts.

The second number , 5 × 10², can be written as 5 followed by 2 zeros: 500

The third number, 3.7 x 10⁵³, can be written as 3.7 followed by 53 zeros:

370,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

or in scientific notation as 3.7 x 10⁵³

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Simplify

2. 5 x 10^22. 5 × 10 2 and 3. 7 x 10^53. 7 × 10 5

The area of the surface given by z = f(x, y) that lies above the region is 8√33.

What is the area of the surface?

A solid object's surface area is a measurement of the overall space that the object's surface takes up. The total surface area of a three-dimensional shape is the sum of all the surfaces on each side.

Here, we have

Given: f(x, y) = 4x + 4y, a triangle with vertices (0, 0), (4, 0), (0, 4).

we have to find the area of the surface.

f(x, y) = 4x + 4y

fₓ(x,y) = 4

\(f_{y}(x,y)\) = 4

So, the area of surface z = f(x,y) is bounded above by R is

S = ∫∫\(\sqrt{1+f_x^2+f_y^2} (dA)\)

S = ∫∫\(\sqrt{1+4^2+4^2} dA\)

S = √33∫∫dA

Now, the equation of a line is:

(y-0) = (4-0)/(0-4)×(x-4)

y = -x + 4

So, R{(x,y): 0≤x≤-x+4, 0≤x≤4}

S = √33 \(\int\limits^4_0\int\limits-^x^+^4_0 {} \, dy {} \, dx\)

S = √33\(\int\limits^4_0 {} \,\)(y)dx

S = √33[-x+4-0]₀⁴dx

S = √33(-x²/2 + 4x)₀⁴

S = √33(-4²/2 + 4(4))

S = √33(-8+16)

S = 8√33

Hence,  the area of the surface given by z = f(x, y) that lies above the region is 8√33.

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Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

The expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).

The expression \(64 - x^2\) can be simplified using the difference of squares formula, which states that \(a^2 - b^2\)  is equal to (a + b)(a - b).

Applying this formula to the given expression, we have:

\(64 - x^2 = (8^2) - x^2\)

Using the difference of squares formula, we can rewrite this expression as:

(8 + x)(8 - x)

Therefore, the expression \(64 - x^2\)  is equivalent to (8 + x)(8 - x).

This expression represents the difference of two squares, where the value 8 is squared and subtracted by the value x squared.

When simplified, it becomes the product of the sum and difference of the terms 8 and x.

It is worth noting that (8 + x)(8 - x) is a special product known as a difference of squares because it follows a specific pattern of multiplication.

This expression is useful for factoring and simplifying quadratic expressions, as it allows us to rewrite them in a more manageable form.

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The displacement of an object with velocity given by v(t) = -t² + 2 on the interval t = 0 to t = 2 is 2 feet.

The velocity of an object is v(t) = -t² + 2. Integrate the velocity function to get the displacement function,s(t) = ∫v(t) dtWe have to find the displacement of the object on the interval t = 0 to t = 2Therefore, the displacement of an object is given bys(2) - s(0)The displacement at t = 2 is:s(2) = ∫v(t) dt from 0 to 2= ∫ [ -t² + 2 ] dt from 0 to 2= [- (t³ / 3) + 2t ] from 0 to 2= [ - (2³ / 3) + 2(2) ] - [ - (0³ / 3) + 2(0) ]= -8/3 + 4= 4/3Therefore, the displacement of an object at t = 2 is 4/3 ft.The displacement at t = 0 is:s(0) = ∫v(t) dt from 0 to 0= 0Therefore, the displacement of an object at t = 0 is 0 ft.Therefore, the displacement of an object on the interval t = 0 to t = 2 is:s(2) - s(0)= 4/3 - 0= 4/3 ft.  

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The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is `dy/dx = (dy/dt) ÷ (dx/dt)

The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is given by `dy/dx` which is the same as `dy/dt ÷ dx/dt`.

We have `x=rt−dsin(t)` and `y=r−dcos(t)`Taking the derivative of `x` with respect to `t`, we get;

`dx/dt = r - d cos(t)`

Taking the derivative of `y` with respect to `t`, we get;`

dy/dt = d sin(t)`

Hence, the slope of the tangent line is given by;`

dy/dx = (dy/dt) ÷ (dx/dt)

= (d sin(t)) ÷ (r - d cos(t))`

The slope of the tangent line to the trochoid `x=rt−dsin(t), y=r−dcos(t)` - in terms of `t`, `r`, and `d` is `dy/dx = (dy/dt) ÷ (dx/dt) = (d sin(t)) ÷ (r - d cos(t))`.

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Answer:

$1.35

Step-by-step explanation:

We multiply $9.00 by 15% which equals to 1.35

Answer:

70

Step-by-step explanation:

One photo takes up 528/264 mb, or 2mb.

2x35 = 70mb

Answer:

Step-by-step explanation:

So you think that x = -5 is the solution for the inequality? Let's check it out.

(Check)

- Substitute x = -5 in the inequality

\(-6<3(-5)+9<21\\-6<-15+9<21\\-6<-6<21\)

If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.

Now let's solve the inequality. Separate the inequality by parts.

\(\left \{ {{-6<3x+9} \atop {3x+9<21}} \right. \\\left \{ {{-6-9<3x} \atop {3x<21-9}} \right. \\\left \{ {{-15<3x} \atop {3x<12}} \right. \\\left \{ {{x>-5} \atop {x<4}} \right.\)

Therefore, the inequality is true only when x > -5 or x < 4.

(Check)

- Substitute x = -4 in the inequality.

\(-6<3(-4)+9<21\\-6<-12+9<21\\-6<-3<21\)

The inequality is true for first case.

- Substitute x = 3 in the inequality

\(-6<3(3)+9<21\\-6<9+9<21\\-6<18<21\)

The inequality is true for second case.

So the answer for inequality is -5 < x < 4

That means only {-4, -3, -2, ..., 3} can make the inequality true.

From the Venn diagram, the values of a, b, c and d are11,19,35,35 respectively

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while Circles that do not overlap do not share those traits.

The universal set is ∈ = 100

The languages are

Spanish = 30

Russian = 54

(S∪ R)¹ = 35 = d

a = Spanish only = a-b

30-b = a

Russia only = c-b

54 - b

Therefore, The universal set ∈ is

100 = (a-b) + (b)+ (c-b) +(d)

100 =  30-b + b + 54 - b + 35

100 = 119 - b = 119-100

b= 19

Therefore,

a = 30 -19 =11

b = 19

c = 59 - 19 35

d = 35

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To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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Answer:

Below :)

Step-by-step explanation:

Least/Minimum: 0

Greatest/Maximum: 6

Median: 2

Lower Quartile Range: 1

Upper Quartile Range: 3

Find median:

0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 6

Find Lower Quartile:

0, 1, 1, 1, 1, 1, 1, 2, 2, 2

Find Upper Quartile:

2, 2, 3, 3, 3, 3, 4, 4, 4, 6

Answer:

2(z+y)

Step-by-step explanation:

Answer:

c

Step-by-step explanation: