Will it cost more to rent from Company A or Company B if "Ali" rents the bounce house for 3 hours? 5 hours? 10 hours?

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

13

Step-by-step explanation:

AB = 20

DE =12

Since AB and DE bisect each other, therefore:

AC = CB = ½(AB)

AC = CB = ½(20)

AC = CB = 10

Also,

DC = CE = ½(DE)

DC = CE = ½(12)

DC = CE = 6

Since F is the midpoint of DC, therefore:

FC = ½(DC)

FC = ½(6)

FC = 3

Find the value of FC + CB. Plug in the values of FC and CB:

3 + 10 = 13

The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

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Answer:

0.5236 radians per minute

or

0.00872665 radians per second

Step-by-step explanation:

Let's first define angular speed

Angular speed is the rate at which an object changes it angles which we measure in radians in a given time. Angular speed has a magnitude (a value only whereas velocity is a vector with speed and direction)

The angular speed, ω of an object is given by the formula
ω = θ/t

where  θ is the angle in radians
1 full revolution is 360° or 2π radians

t = time taken for completing θ radians of rotation

We are given that the Ferris wheel completes 1 full revolution in 12 minutes

1 full revolution = 2π radians

t = 12 minutes

Angular speed = ω = θ/t =  2π/12 radians/minute

ω = 0.5236 radians per minute

or in radians per second

ω = 0.5236/60 = 0.00872665 radians per second

Answer:

x = 14

Step-by-step explanation:

3 (x - 3) + 8x = 5 (2x + 1)​

FOIL: 3x - 9 + 8x = 10x +5

Move all the x terms to one side and all the constants to the other:

3x + 8x - 10x = 5 + 9

Combine like terms: x = 14

Answer:

B

Step-by-step explanation:

Angle 1 is an exterior angle, while angle 6 is an interior angle and so they are not congruent

The domain of the function is all the real numbers and the range is from -2 to 2.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In the image, we can see that the value of the function varies from -2 to 2 at all the possible values of the real numbers.

Therefore, the domain of the function is all the real numbers and the range is from -2 to 2.

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A prompt is one to three sentences that pose a problem or a query that you must address in an essay.

In the given question we have to prompt the user to enter four numbers, each corresponding to a person's weight in pounds and store all weights in a list and output the list.

(1) weights = [float(input('Enter weight 1: \n')),

float(input('Enter weight 2: \n')),

float(input('Enter weight 3: \n')),

float(input('Enter weight 4: \n'))]

print("Weights:", weights)

(2) weights = [float(input('Enter weight 1:\n')),

float(input('Enter weight 2:\n')),

float(input('Enter weight 3:\n')),

float(input('Enter weight 4:\n'))]

print("Weights:", weights)

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The right question is given below:

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

Answer:

  27 ft

Step-by-step explanation:

The object is 3/4 times as tall as the shadow it makes. (1 yd/48" = 3'/4') So, the flagpole will be 3/4 times 36 ft, or 27 ft high.

The flagpole is 27 ft tall.

Answer:

b or c

Step-by-step explanation:

Here is an attachment with the answer. I hope this helps.

Answer:

the answer is 2.225.........

Answer:

x= -5

Step-by-step explanation:

-2(6x-10)=80

First use the distributive property to simplify the left side of equation:

-12x+20=80

     -20    -20

-12x=60

/-12   /-12

x= -5

The correct answer is option (A) TH. The diameter of the circle shown in the diagram is TH

A diameter is a straight line that passes through the center of the circle and connects two points on the circle.

Therefore, in order to find the diameter of a circle, we need to identify two points on the circumference that are opposite to each other.

These two points form the endpoints of the diameter of the circle.

The given circle is shown below: As we can see from the diagram, points H and T lie on the circumference of the circle, and they are opposite to each other.

Hence, the line TH is the diameter of the circle.

Therefore, the correct answer is option (A) HT, which represents the diameter of the circle shown in the diagram.

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Answer: Juan runs and walks for 3060 meters in 60 minutes

Step-by-step explanation:

Answer:1

Step-by-step explanation:Because its true

Answer:

120°

Step-by-step explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

Therefore, value of angle x is 120° .

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Answer:

790

Step-by-step explanation:

7098uuilu4645

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

42

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

36°

hope it helps and your day will be full of happiness

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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Answer:

Hey bro you're welcome.

Step-by-step explanation:

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other

i hope that will help

There are two possible answers:

You can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.

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

Explanation:

For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,

a = p/q

b = r/s

where p,q,r,s are integers. The denominators q & s cannot be zero.

Multiplying those rational numbers 'a' and b leads to

a*b = (p/q)*(r/s) = (p*r)/(q*s)

We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.

In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.

------------------------

Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.

If we have the following

a = sqrt(3)

b = sqrt(12)

then,

a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6

Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.

This doesn't always happen since something like

sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)

is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.

Therefore, we know that we can rule out the case that 'a' and b are irrational together.

------------------------

Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.

Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.

Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say

a*b = r/s

a*(p/q) = r/s

a = (r/s)*(q/p)

a = (r*q)/(s*p)

Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.

In other words, if,

then a*b = c is irrational

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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