you open a can of sam's and realize there are only 11.6 oz in the can. what is the probability that a single can will contain 11.6 ounces or less of soda?

Answer: 18%

Step-by-step explanation:

I gogled

Answer:

Step-by-step explanation:

2x + 5 = 10

2x = 5

x = 2.5

The equation line of the of the road in slope-intercept form is; y = 2·x - 10

The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.

The parameters for the new road are;

The road will be parallel to village way with points (0, 5), and (-4, -3)

The road will pass through the intersection  of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)

Required; The equation of the road

Since the new road is parallel to Village Way, which has slope;

m = (5 - (-3))/(0 - (-4)) = 8/4 = 2

The slope of the new road will also be 2.

Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);

y - (-4) = 2 × (x - 3)

y = 2·x - 6 - 4 = 2·x - 10

y = 2·x - 10

Therefore, c = -10

Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10

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Answer:What is the next term in the geometric sequence 2 8 32?

If you notice in this sequence,the next number is a multiple of 4 of the previous number. 2 multiplied by 4 is 8,8 multiplied by 4 is 32. So, the geometric sequence is 2,8,32,128,512,2048,8192,32768. The sum of the sequence is 43,690.

Step-by-step explanation:

i hope this helps

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

Answer:

11

Step-by-step explanation:

since Sally gave 34 of her apples out of 45,

we substuct

that is 45 - 34= 11

therefore she has 11 apples with her right now.

∂L/∂x = ∂A/∂x - λ * ∂g/∂x = 0, ∂L/∂λ = -g(x, y) = 0

Solving these equations will give us the critical points, and we can then determine the maximum area.

To find the maximum area of a box inscribed inside an ellipse using the Lagrange multipliers method, we need to set up an optimization problem.

Let's denote the semi-major axis of the ellipse as 'a' and the semi-minor axis as 'b'. In this case, a = 4 and b = 3. We want to maximize the area of the box, which is given by the product of its length, width, and height.

Let's assume the length of the box is 'x,' the width is 'y,' and the height is 'z.' We have the following constraints:

1. The box must fit inside the ellipse: (x/a)² + (y/b)² = 1

2. The volume of the box is fixed: V = x * y * z

We can formulate the problem as follows:

Maximize: A = x * y (area of the box)

Subject to: g(x, y) = (x/a)² + (y/b)² - 1 = 0 (constraint equation)

Now, we can use the Lagrange multipliers method to solve this problem. The Lagrangian function is given by:

L(x, y, λ) = A - λ * g(x, y)

Where λ is the Lagrange multiplier.

To find the critical points, we take the partial derivatives of L with respect to x, y, and λ, and set them equal to zero:

∂L/∂x = ∂A/∂x - λ * ∂g/∂x = 0

∂L/∂y = ∂A/∂y - λ * ∂g/∂y = 0

∂L/∂λ = -g(x, y) = 0

Solving these equations will give us the critical points, and we can then determine the maximum area.

However, since this is a highly mathematical problem, it would be more appropriate to use numerical optimization methods or software to solve it efficiently.

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Answer:

216 is your answer.

Answer:

V = 216in²

Step-by-step explanation:

Hello There!

The gift box is a rectangular prism and given its dimensions we need to find the volume.

The volume of a rectangular prism can easily be calculated by multiplying the length by the width by the height ( V = L * W * H )

using this formula *we plug in the values*

V = 9 * 12 * 2

9 * 12 = 108

108 * 2 = 216

V = 216 in²

So we can conclude that the volume of the gift box is 216in²

The given statement is true.

If a has n distinct prime factors and b has m distinct prime factors and n>m, then ab has at least n and at most n m distinct prime factors.

Prime factorization is a manner of expressing various as fabricated from its prime factors. A high number is a variety that has preciseness elements, 1 and the variety itself. As an example, if we take the number 30. We recognize that 30 = 5 × 6, however, 6 isn't always a prime factor.

To show whether more than a few is a top wide variety, first attempt dividing it by 2, and see if you get an entire variety. If you do, it can not be a prime number. In case you don't get an entire number, subsequent attempt dividing it through prime numbers: 3, 5, 7, 11 (nine is divisible via three) and so forth, constantly dividing by way of a top wide variety.

Every prime range can be written within the shape of 6n + 1 or 6n – 1 (except the multiples of high numbers, i.e. 2, 3, five, 7, eleven), where n is a herbal variety. To realize the prime number extra than 40, the below formulation may be used.

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2(x+1)+4

Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

solve equation by using distributive property we should use laws of this property that are as follows:

Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.

2(x + 1) + 4 = 8

2(x)+2(1)+4=8

2x+2+4=8

2x+6=8

2x=8-6

2x=2

x=2/2

x=1

so final conclusion is Option A  2(x+1)+4=8 is the right answer

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The population of Melonville follows a population growth, and the population of Melonville in 1993 is 201

Let the population in 1991 be x².

The 1992 population is

P₂ = y² + 1 = x² + 100

This means that:

x² + 100 = y² + 1

Rewrite as:

y² - x² = 100 - 1

y² - x² = 99

Express as difference of two squares

(y - x)(y + x) = 99

Express 99 as 9 * 11

(y - x)(y + x) = 9 * 11

Rewrite as:

(y - x)(y + x) = (10 - 1) * (10 + 1)

By comparison, we have:

y = 10 and x = 1

So, the populations are:

P₁ = x² --- 1991

P₂ = x² + 100 --- 1992

P₃ = x² +100 +100 --- 1993

Substitute 1 for x

P₃ = 1² +100 +100

Evaluate

P₃ = 201

Hence, the population of Melonville in 1993 is 201

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Answer:

6/ y^8

Step-by-step explanation:

Answer:

8 visits

Step-by-step explanation:

Hope this helps!!

Answer: 8 visits

Step-by-step explanation:

You can just make an equation.

25+2.5x=45

Subtract 25 from both sides.

2.5x=20

Divide both sides by 2.5.

x = 8

Answer:  x < -14.8

Step-by-step explanation:

    To solve for x, we will isolate the x-variable.

Given:

    \(\frac{-5x}{2}\) > 37

Multiply both sides of the equation by 2:

    -5x > 74

Divide both sides of the equation by -5:

➜ Since we are dividing by a negative, we will flip the direction of the sign.

    x < -14.8

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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Answer:

no

Step-by-step explanation:

No 0.01 is not less than 0

Because 0 means nothing

And

0.01 means have something

So

0.01>0

Answer:

50 deg

Step-by-step explanation:

180-80-50=x

180-80=100

100=50=50

x=50

Answer:

x+80+50=180(being the sum of angles in triangle)

x+130=180

x=180-130

x=50

The displacement vector dW corresponding to the second leg of the student's trip can be expressed as (-0.400, 0) miles.

To find the displacement vector dW for the westward leg of the trip, we need to consider the overall displacement from the starting point.

The student first travels 0.900 miles north, so the displacement vector dN for this leg is (0, 0.900) miles.

Then, the student travels 0.400 miles west. Since this is a westward displacement, the x-component of the displacement vector dW will be negative, and the y-component will be zero. Therefore, the displacement vector dW can be expressed as (-0.400, 0) miles.

Finally, the student travels 0.100 miles south. Since this is a southward displacement, the y-component of the displacement vector dS will be negative, and the x-component will be zero. Therefore, the displacement vector dS can be expressed as (0, -0.100) miles.

To find the overall displacement vector d, we sum the individual displacement vectors:

d = dN + dW + dS

d = (0, 0.900) + (-0.400, 0) + (0, -0.100)

d = (-0.400, 0.900 - 0.100)

d = (-0.400, 0.800) miles

Hence, the displacement vector dW for the westward leg of the trip can be expressed as (-0.400, 0) miles. The x-component represents the westward displacement, which is -0.400 miles, and the y-component represents the northward displacement, which is 0 miles.

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The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

Answer: b 200 yards

Step-by-step explanation:

Scaling

Real magnitudes can be scaled up or down to adapt to the size of a sheet of paper or the screen of a computer or phone.

Catherine knows she is 50 yards from the school and it's shown as a distance of 3/4 inch on her phone map.

We can calculate the scaling factor from the real distance to the map distance by dividing:

\(\displaystyle \frac{50}{\frac{3}{4}}=\frac{200}{3}\)

Now she sees that she's 3 inches from home on the same map. This is equivalent to a real distance of:

\(\displaystyle 3\cdot \frac{200}{3}=200\)

Catherine is 200 yards from her home.

Answer: b 200 yards

Answer:

homeostasis

Step-by-step explanation:

Homeostasis refers to the body's ability to maintain a stable internal environment (regulating hormones, body temp., water balance, etc.).

Answer:

Homeostasis is the ability to maintain a relatively stable internal state that persists despite changes in the world outside. All living organisms, from plants to puppies to people, must regulate their internal environment to process energy and ultimately survive.

The maintenance of stable, constant, internal conditions is called homeostasis. ... Like the walls of a house, cell membranes protect the inside of cells and maintain homeostasis through molecular transport. Controlling how much of which molecules enter or leave a cell allows cells to function properly.

Step-by-step explanation:

Step-by-step explanation:

1 and 2 are  'none'

5 and 6 are 'vertical '

When a figure is rotated and reflected, the new figure will be congruent to the original one, but different coordinate axis. When a figure is translated, reflected and dilated the image will be similar, but the scales will be different.

The original figure we transform is the pre-image and after transformation it is called image. Rotation is the transformation of an image when it is rotated through the Centre of axis. Reflection creates a mirror image of the original figure/ pre-image. Translation means the image is moved to a certain distance in the coordinate axis. Dilation is making an image bigger or smaller, the sides will be in ratio and thee will be a scale factor.

So if a image is rotated, reflected and translated, there will be changes in the coordinate plane, but no change in the size of the image. During dilation the size is varied.

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Answer:

15% increase

Step-by-step explanation:

to find the percent increase from an initial value to a final value, first find the difference:

2070-1800=270

then divide the difference by the initial value:

270/1800= 0.15

and multiply by 100

0.15*100=15

so there is a 15% increase

The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 is y = 4x³.

When an equation is vertically stretched, it means that the parent equation has been multiplied by a number that is more than one.

This means that the equation is multiplied by some factor.

It is given that we should describe how the parent function is vertically stretched by a factor of 4.

The parent function is given as y = x³.

Since the equation is said to be vertically stretched by a factor of 4, we must multiply the parent equation by 4 to stretch it.

Therefore, we have found the equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 to be y = 4x³.

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Answer: C

Step-by-step explanation:

Just C

Step-by-step explanation:

the text that is formatted in bold and underlined fonts are the answers to the missing (blank) terms in the given problem.

Given that  \(\huge\sf{\overline{AB}}\) is a straight line, and that ∠AOE, ∠EOF, and ∠FOB share a common vertex, at point O, whose sum equals 180°.  

1. Statement:  m∠AOB = 180°

  Reason: Definition of a straight angle.

2. Statement:  m∠AOE + m∠EOF + m∠FOB = m∠AOB

   Reason: Angle Addition Postulate.

3. Statement:  x + (2x + 34) + 20° = 180°

   Reason: Substitution.

4. Statement:  x = 42°

   Reason: Algebra.

1)   Straight angles have a measure of 180°.

2)  The Angle Addition Postulate states that if O is in the interior of ∠AOB, then it means that the measure if ∠AOB is equal to the sum of the measures of ∠AOE, ∠EOF, and ∠FOB. In other words:

           ⇒   \(\huge\bf\sf{m\angle{AOB}\:=m\angle{AOE}\:+m\angle{EOF}\:+m\angle{FOB}}\)

3) and 4) Since the ∠AOB is a straight angle, then it means that the sum of the measures of ∠AOE, ∠EOF, and ∠FOB equal the measure of ∠AOB = 180°. Hence, in order to solve for the value of x, simply add the given values for each angle:

x° + (2x + 34)° + 20° = 180°

x° + 2x° + 34° + 20° = 180°

Combine like terms:

3x° + 54° = 180°

Subtract 54° from both sides:

3x° + 54° - 54° = 180° - 54°

3x° = 126°

Divide both sides by 3 to solve for x:

\(\huge\sf{\frac{3x^\circ}{3}\:=\:\frac{126^\circ}{3}}\)

x = 42°

The name of the 3D Shape shown in figure is triangular prism and the surface area of the figure is 111 cm².

The total surface area of a triangular prism is the sum of area of its each face. Total surface area of a triangular prism is calculated with the following formula,

A = bh( s1 + s2 + s3)* l

Here, we have,

(b) is the base of the triangle, h is the height of base of prism, (s1,s2,s3) are the sides or base and l is the length of the prism.

A. The name of the 3D Shape-

The name of the 3D Shape shown in the figure is a right triangular prism.

B. The formula for total surface area for this shape-

The formula to find the total surface area for this shape is,

A = bh( s1 + s2 + s3)* l

C. The surface area of the figure-

The sides of the triangle are 3cm,4cm and 5 cm long.

The length of the prism is 11 cm, the height of the triangular base is 3 cm and base is 4 cm long.

Put these values in the above formula,

calculating we get,

A = 111

Thus, the name of the 3D Shape shown in figure is triangular prism and the surface area of the figure is 111 cm².

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Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

Subtract the discount from the price

65.6-26.24= 39.36

Answer:

0.05

Step-by-step explanation: