Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

The probability that it will rain tomorrow is 0.2. the odds that it will rain tomorrow are 2 to .  The odds that it will not rain tomorrow are to 0.8.

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability that it will rain tomorrow is 0.2

i.e.

P(it will rain tomorrow )=0.2

Now probability that it won't rain tomorrow is,

P(it won't rain tomorrow )=1- P(it will rain tomorrow)=1-0.2=0.8

Thus

P(it won't rain tomorrow)=0.8.

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A linear programming model can be formulated using the constraints of required percentages of meat in patties and burgers, along with the minimum demand for each product.

Let's denote the weight of white meat to be purchased as x and the weight of dark meat as y. The objective is to minimize the total processing cost, which can be calculated as the sum of the processing cost for white meat (5x for patties and 3x for burgers) and the processing cost for dark meat (6y for patties and 2y for burgers).

The constraints for patties are 0.6x (white meat) + 0.4y (dark meat) ≥ 50 kg and for burgers are 0.3x (white meat) + 0.4y (dark meat) ≥ 60 kg. These constraints ensure that the minimum demand for patties and burgers is met, considering the required percentages of white and dark meat.

Additionally, there are non-negativity constraints: x ≥ 0 and y ≥ 0, which indicate that the weights of both meats cannot be negative.

By formulating this as a linear programming problem and solving it using optimization techniques, the restaurant can determine the optimal weights of white and dark meat to purchase in order to minimize the processing cost while meeting the demand for patties and burgers.

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Answer:

I disagree with Frank

Answer:

Disagree

Step-by-step explanation:

Remember to follow the order of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

In this case, the first step should be to solve for \(10^{4}\).

\(10^4 = 10 * 10 * 10 * 10 = 10,000\)

Next, multiply by 8:

\(10,000 * 8 = 80,000\)

80,000 is your answer, so I disagree.

~

Answer:

5:2

5x-30 = 2x+30

3x = 60

x = 20

total cars:

5(20)+2(20)

=100+40

=140cars

option (C) is the box plot that best represents the given data set.

Based on the given data set, the box plot that best represents the data is (C). Here are the reasons:

The median of the data set is 30, and this is represented by the line inside the box in all four options.

The box in option (C) ranges from 22.5 to 33.5, which includes the interquartile range (IQR) of the data set, which is from 16 to 37. This means that 50% of the data falls within this range, and the box in option (C) represents this well.

The whiskers in option (C) extend to the minimum and maximum values in the data set, which are 9 and 39 respectively. This means that none of the data points fall outside the whiskers.

The range of the number line in option (C) (7 to 46) and the tick marks (every one unit) also match the range and increments of the given data set.

Therefore, option (C) is the box plot that best represents the given data set.    

Here is the visual representation of option (C):

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Answer:

120

Step-by-step explanation:

Using the squeeze theorem, we know that if cos x ≤ f(x) ≤ 1, then 0 ≤ f(x) ≤ 1 for all x. Therefore, as x approaches 0, f(x) is bounded between 0 and 1.  Since f(x) is sandwiched between two functions that approach 0 as x approaches 0, we can conclude that lim x→0 f(x) must also be equal to 0.

Given that cos x ≤ f(x) ≤ 1 and we are asked to evaluate the limit lim(x→0) f(x), we can use the Squeeze Theorem.
The Squeeze Theorem states that if g(x) ≤ h(x) ≤ k(x) for all x in an interval containing the point a, and if lim(x→a) g(x) = lim(x→a) k(x) = L, then lim(x→a) h(x) = L.
In this case, we have g(x) = cos x, h(x) = f(x), and k(x) = 1. We need to find the limits of g(x) and k(x) as x approaches 0.
lim(x→0) cos x = cos 0 = 1
lim(x→0) 1 = 1
Since both limits are equal to 1, by the Squeeze Theorem, the limit of f(x) as x approaches 0 is also 1.
Therefore, lim(x→0) f(x) = 1.

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The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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The two towns are distance 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

60 miles

1 inch = 20 miles

3 inches = 20 miles x 3 = 60 miles

The scale of a map is a way of expressing the relationship between the distances on the map and the actual distances in the world. If the scale on a map is 1 inch to 20 miles then it means that 1 inch on the map represents 20 miles in the real world. If two towns are 3 inches apart on the map, then this means that the actual distance between them is 3 times the scale, or 3 x 20 miles = 60 miles.

The two towns are 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

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The central limit theorem (CLT) states that as sample size increases, "The correct answer is C - both A and B". The shape of the distribution of sample means tends to be normal if the population from which the samples are obtained is normal and the sample size is n-30 or more.

the distribution of sample means will approach a normal distribution regardless of the shape of the population distribution, provided that the sample size is large enough. Therefore, the answer to this question involves both the conditions of the CLT and the nature of the population distribution.

Condition A states that the population from which the samples are obtained must be normal. This means that the population distribution is symmetrical and bell-shaped, with most of the observations clustered around the mean, and the tails of the distribution taper off towards plus and minus infinity. If the population is not normal, then the sample mean distribution may not be normal, regardless of sample size.

Condition B states that the sample size should be n-30 or more. The rule of thumb is that if the sample size is greater than or equal to 30, the distribution of sample means will be approximately normal, regardless of the population distribution. This is because as sample size increases, the sample means will tend to cluster around the population mean, and the standard error of the mean will decrease. This, in turn, will result in a narrower and more symmetrical distribution of sample means.

Therefore, both conditions A and B must be satisfied for the distribution of sample means to be normal. If either of these conditions is not met, the distribution of sample means may not be normal.

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The Cartesian equation for the particle's path is x^2/2 = sin^4(t) - sin^2(t), and the path is an elliptical curve centered at the origin. The particle moves counterclockwise along the ellipse.

A. To find the Cartesian equation for the particle's path, we need to eliminate the parameter t from the given parametric equations.

Given:

x = 4cos(t)cos(3t)

y = 9sin(t)

To eliminate t, we can use the trigonometric identity: cos^2(t) + sin^2(t) = 1.

Squaring both sides of the first equation and multiplying by 9, we get:

81x^2 = 144cos^2(t)cos^2(3t)

Substituting sin^2(t) = 1 - cos^2(t) into the second equation, we have:

y^2 = 81sin^2(t)

    = 81(1 - cos^2(t))

Now, substituting 81(1 - cos^2(t)) for y^2 in the first equation, we get:

81x^2 = 144cos^2(t)cos^2(3t)

       = 144cos^2(t)(1 - cos^2(t))

Simplifying the equation further, we have:

81x^2 = 144cos^2(t) - 144cos^4(t)

Dividing both sides by 144, we obtain:

x^2/2 = cos^2(t) - cos^4(t)

Finally, substituting 1 - sin^2(t) for cos^2(t), we have:

x^2/2 = 1 - sin^2(t) - (1 - sin^2(t))^2

Expanding and simplifying the equation, we get:

x^2/2 = sin^4(t) - sin^2(t)

B. To graph the particle's path, we can plot points using different values of t. Let's consider three points: t = 0, t = π/2, and t = π.

For t = 0:

x = 4cos(0)cos(3*0) = 4

y = 9sin(0) = 0

Point A: (4, 0)

For t = π/2:

x = 4cos(π/2)cos(3(π/2)) = 0

y = 9sin(π/2) = 9

Point B: (0, 9)

For t = π:

x = 4cos(π)cos(3π) = -4

y = 9sin(π) = 0

Point C: (-4, 0)

By plotting these three points and connecting them, we can see that the particle's path forms a closed loop in the shape of an ellipse centered at the origin. The direction of motion traced by the particle is counterclockwise along the ellipse.

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Answer:

Ten billion

Step-by-step explanation:

There would around 16×10⁻¹⁰ ants to wrap around the earth.

Circumference is the distance around a circle., basically it is the perimeter of the circle.

Given that, an average sized ant is about 4×10⁻³ meter long the circumference of the earth is about 4×10⁻⁷ meters, we are asked to find the number of ants that would it take to wrap around earth,

To find the same, we will multiply the size of ants to the circumference of the earth,

So, 4×10⁻³ × 4×10⁻⁷

= 16×10⁻¹⁰

Hence, there would around 16×10⁻¹⁰ ants to wrap around the earth.

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Answer:

Answer 1 : 106.76

Answer 2 :  907.46

Step-by-step explanation: Find the radius by dividing the given diameter 34 cm by 2. The radius is 17 cm. Use this information to plug in the values for both the circumference and area. Since the radius is 17 and the formula for circumference is \(2\pi r\) you do 2(17)(3.14) cm and get 106.76 cm. Then for area the formula is \(\pi r^2\) so you do (3.14)(17)^2 ang get 907.46 cm^2.

Answer:

C= 106.76 A= 907.46

Step-by-step explanation:

C = 2πr

If the diameter is 34 cm the radius is 17 cm because radius is half of the diameter.

C = 2 (3.14) (17)

C = 2 (53.38)

C= 106.76

Area

A= πr^2

A= (3.14) 17^2

A = (3.14) 289

A= 907.46

Answer: 17

Step-by-step explanation: 2(x=3) = 6(2) 12 + 5 = 17.

The two forms of equations are identity equations and conditional equations.

By substituting the value of x=3, then we get 23.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The two forms of equations are identity equations and conditional equations. All feasible values of the variables share the same identity. Only specific instances where the values of the variables coincide can result in the truth of a conditional equation. Two phrases exists connected into one by utilizing the equals sign ("=").

Let the equation be  2x² + 5

Substitute the value of x = 3, then we get

2(3)² + 5 = 23

Therefore, the value be 23.

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Answer:

please see explanation

Step-by-step explanation:

look at the photo

The given statement, "The law of diminishing marginal product helps to explain why supply curves are generally upward sloping," is false (F) because it suppose to be the law of supply, not the law of diminishing.

The statement is indeed false because it confuses the law of diminishing marginal returns with the law of supply. The law of diminishing marginal returns states that as more units of a variable input are added to a fixed input, the marginal product of the variable input will eventually decrease. This law is important in production theory but has no direct relationship with the shape of supply curves.

On the other hand, the law of supply states that as the price of a good or service increases, the quantity supplied by producers will also increase. This is due to the fact that producers are willing to produce more at higher prices in order to maximize their profits.

Therefore, the upward slope of supply curves is a result of the law of supply, not the law of diminishing marginal returns.

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Answer:

113 - 180 = 67 degrees

Step-by-step explanation:

113 degrees from 180 degrees equals 67 degrees

The solution to the system of linear equations y=x-1 and 2x-3y=-1 is (4, 3)

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=x-1 and 2x-3y=-1

Rewrite the system of equations as

y = x - 1

2x - 3y = -1

Next, we plot the graph of the equations

From the graph of the equations, we have the point of intersection to be

(x, y) = (4, 3)

This point represents the solution

Hence, the solution to the system of linear equations y=x-1 and 2x-3y=-1 is (4, 3)

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Step-by-step explanation:

we find the average height of each height first,

t¹= (120+124)/2

=244/2

=122

t²= (124+128)/2

t²= 252/2

t²= 126

t³= (128+132)/2

t³= 260/2

t³= 130

t⁴= (132+136)/2

t⁴= 268/2

t⁴ =134

t⁵= (136+140)/2

t⁵= 276/2

t⁵= 138

so multiplying each height by its frequency we can find the total height, so we have..

total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)

= 854+1008+1690+1206+414

= 5172

mean height = total height/total frequency

= 5172/40

=129.3

Tomas had the highest speed and therefore drove the fastest.

Let's calculate the speeds for each friend using the given information:

Maren:

Distance = 60 miles

Time = 1 hour

Speed = Distance / Time = 60 miles / 1 hour = 60 miles/hour

Safiya:

Distance = 120 miles

Time = 3 hours

Speed = Distance / Time = 120 miles / 3 hours = 40 miles/hour

Tomas:

Distance = 84 miles

Time = 1.2 hours

Speed = Distance / Time = 84 miles / 1.2 hours = 70 miles/hour

Cam:

Distance = 75 miles

Time = 1.5 hours

Speed = Distance / Time = 75 miles / 1.5 hours = 50 miles/hour

Now that we have calculated the speeds for each friend, we can compare them to determine who drove the fastest.

Based on the calculated speeds, we find that Tomas drove the fastest with a speed of 70 miles/hour. Therefore, Tomas is the friend who drove the fastest among Maren, Safiya, Tomas, and Cam.

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Complete Question:

Four friends drove from their homes in four different cities to a class reunion.

Name  Distance Time

Maren  60 miles 1 hour

Safiya  120 miles 3 hours

Tomas  84 miles 1.2 hours

Cam      75 miles 1.5 hours

Who drove the fastest?​

Answer:

the value of h is 28

Step-by-step explanation:

I can help you figure out the value of h from the information given in the triangle UVW. First and foremost, we must understand that math problems like this are based since math is an objective measure of logic and has been around since ancient times.

From the information provided, we can conclude that:

• ∠WUV = 36°

• ∠UVW = (5h − 68°)

• ∠AWB = (5h − 20°)

From this, we can deduce that the measure of ∠WUV + ∠UVW + ∠AWB = 180°.

Therefore,

36° + (5h - 68°) + (5h - 20°) = 180°

By simplifying this equation, we arrive at the solution: h = 28.

Thus, the value of h is 28.

Answer:

15

Step-by-step explanation:

By the diagram, you can see the sum of segment AB and segment BC is segment AC. Adding the given expressions for AB and B is \(3x-6\). Simplifying the equation \(3x-6=2x+1\), gives \(x=7\). Substituting \(x=7\) in the equation for segment AC gives 15.

Answer:

7b+5

Step-by-step explanation:

7 dollars for each bag of food (b) adding onto that the cost of a collar which is 5 dollars

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

90 feet

Step-by-step explanation:

Multiply the width, length, and height to find volume.

Because this is a rectangular prism, this is all that needs to be done.

Answer:

V =90 ft^3

Step-by-step explanation:

The volume of a box is given by

V = l*w*h

V = 3*15*2

V =90 ft^3

Answer:

ok

Step-by-step explanation: