Item 5 You buy orange and black streamers for a party. The orange streamers are 9 feet long, and the black streamers are 12 feet long. What are the least numbers of streamers you should buy in order for the total length of the orange streamers to be the same as the total length of the black streamers?

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

The amount of Gallons of gas that Dan's tank can hold is; 18 Gallons

Let the total capacity of Dan's tank be x.

Thus, since it is 1/3 full, then we can say that the capacity is now; x/3

Now, we are told that he buys 9 gallons of gas and this makes it 5/6 full. Thus, the equation to represent all these is;

(x/3) + 9 = 5x/6

Multiply through by 6 to get;

2x + 54 = 5x

5x - 2x = 54

3x = 54

x = 54/3

x = 18 gallons

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Answer:

7 bracelets

Step-by-step explanation:

to find the answer to the question you need to divide the total amount of string by the amount of string needed for each bracelet.

170.1/24.3=7

A - Growth (25%)

B- Growth (75%)

C - Growth

D - Growth (100%)

E - Growth (99%)

An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

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Answer:

0.875

Step-by-step explanation:

\(\huge\textbf{Hey there!}\)

\(\bullet\large\textsf{ In order to convert a fraction into a decimal, you have to DIVIDE}\\\large\textsf{the numerator (the TOP NUMBER) from the denominator (the}\\\large\textsf{BOTTOM NUMBER).}\)

\(\star\large\textsf{ Here's the formula }\star\\\\\large\boxed{\mathsf{\dfrac{a}{b}}}\\\\\\\large\boxed{\mathsf{= a\div b}}\\\\\\\large\boxed{\mathsf{= c}}\\\\\heartsuit\large\text{ Whereas, a is your numerator, b is your denominator, \& c is your}\\\large\text{decimal.}\)

\(\clubsuit\huge\textbf{ ANSWERING the QUESTION }\clubsuit\)

\(\large\boxed{\mathsf{\dfrac{7}{8}}}\\\\\\\large\boxed{= \mathsf{7 \div 8}}\\\\\\\large\boxed{\mathsf{= 0.875}}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{0.875}}}\huge\checkmark\)

\(\huge\textbf{Good luck on your assignment \& enjoy }\\\huge\textbf{your day!}\)

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

Mary would have 18 more candies than Gary

Step-by-step explanation:

So we know that the number x is multiplied by 4, and then is bigger then itself by 45, so so lets set up this equation.

4x = x + 45

The 4x is our x multiplied by 4 and the x + 45 is when it exceeds itself by 45.

Now lets solve:

4x = x + 45

Bring x to one side to isolate the variable:

4x - x = 45

3x = 45

Now we divide the 3 from the 3x in order to fully isolate the variable:

x = 45 / 3

x = 15

Lets plug 15 in to double check the answer:

4(15) = 15 + 45

60 = 60

Yes!

This means that 15 is the number multiplied by 4 and exceeded by 45.

I hope this helps! :)

The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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In order to advance knowledge of unit personnel on evidence-based practice, it should be addressed first to the unit managers who can provide leadership and support to their staff. Therefore, the correct option is (b) unit managers. However, involving academic experts, experienced staff, and medical librarians is also important to ensure proper utilization of the best available evidence and training of staff.

When finding evidence that shows a need to advance knowledge of unit personnel on evidence-based practice, it should be addressed first to the unit managers. Unit managers are responsible for the overall functioning of the unit and can play a crucial role in implementing evidence-based practices. They can provide leadership and support to their staff in learning and incorporating new evidence-based practices into their daily work. However, it is important to involve academic experts, experienced staff, and medical librarians in the process as well to ensure that the best available evidence is being utilized and that staff members are properly trained on evidence-based practices.

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The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer: x > - 9 or x < - 26

Step-by-step explanation:

Ok, so modulus means that 0.2x + 3.5 is either greater than 1.7, or less than -1.7. Putting that in equation, we get,

0.2x + 3.5 > 1.7 or 0.2x + 3.5 < -1.7

0.2x > -1.8 or 0.2x < -5.2

x > -9 or x < -26

There u go.

Answer:

80 seconds

Step-by-step explanation:

The value of e is 0.1 in the equation 10e=1.

In the equation 10e = 1, the letter "e" represents an unknown variable.

To find the value of "e," you need to isolate it on one side of the equation.

Divide both sides of the equation by 10:

(10e) / 10 = 1 / 10

This simplifies to:

e = 1/10

e=0.1

Hence, the value of e is 0.1.

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The one is not a characteristic of a normal curve is its spread increases as its mean increases that is Option 2.

One of the numerical values that is frequently calculated in both descriptive and inferential statistics is statistical variance. If we know the mean, the value of each data point, and the number of samples, we can determine this value.

The spread of scores in a data set normally increases as the variance of that data set increases. The main reason for this is because variance is a number that represents the average departure of each data point from the mean.

Because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.

Probability is represented by the area under the normal distribution curve, and the total area under the curve equals one.

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Complete question:

Four of the following statements are correct descriptions of a Normal curve. Which one is NOT a characteristic of a Normal curve?

The values of α and β that make αA + βB + C parallel to the y-axis are α = 2 and β = -1.

To determine the values of α and β, we need to find the coefficients that make the sum αA + βB + C parallel to the y-axis.

First, let's calculate αA + βB + C:

αA = 2(5ax + 3ay - 2az) = 10ax + 6ay - 4az

βB = -1(-ax + 4ay + 6az) = ax - 4ay - 6az

Adding αA, βB, and C together:

αA + βB + C = (10ax + 6ay - 4az) + (ax - 4ay - 6az) + (8ax + 2ay)

= 19ax + 4ay - 10az

To make the expression parallel to the y-axis, the coefficients of ax and az should be zero. Therefore, we equate the coefficients to zero and solve for α and β:

19a = 0 (coefficient of ax)

4a = 0 (coefficient of az)

From these equations, we find that a = 0.

Substituting a = 0 back into the expression αA + βB + C, we get:

αA + βB + C = 19(0)ax + 4ay - 10(0)az = 4ay

Since the expression is now 4ay, it is parallel to the y-axis.

Therefore, the values of α and β that satisfy the condition are α = 2 and β = -1, given that a = 0.

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Answer:

one reflection would be (-2, -2) (-2,-4) and (-6, -2)

Step-by-step explanation:

Hope this helps

Answer:

B. 12

Step-by-step explanation:

The length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The perimeter of a regular hexagon is 72 inches.

P = 6a

Here P is the perimeter and a is the side length of the hexagon

72 = 6a

a = 72/6

a = 12 inches

Thus, the length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

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Answer

27

Step-by-step explanation:

12knllwe fwlk va;lmvbnlaemb,naerlgieg2

The number that could not be a value of X in the triangle given above would be = non of the options.

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is symbolically for a triangle labelled ABC:

a + b > c,

a + c > b, and

b + c > a

Using the diagram above,

The whole option can be a value of X and hence none of the above given options can not be = X.

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Step-by-step explanation:

x

2

−

12

x

+

27

=

(

x

−

3

)

(

x

−

9

)

Explanation:

x

2

−

12

x

+

27

Find two numbers that when added equal

−

13

and when multiplied equal

27

. The numbers

−

3

and

−

9

meet the criteria. The two factors are

(

x

−

3

)

(

x

−

9

)

.

Answer:

\((4,2 )\)

Step-by-step explanation:

Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)

Simply plug in your 2 coordinates into the midpoint formula to find midpoint:

\((\frac{8+0}{2} ,\frac{5-1}{2} )\)

\((\frac{8}{2} ,\frac{4}{2} )\)

\((4,2 )\)

The near point of the eye for which a contact lens with a power of 2.90 diopters is prescribed would be approximately 8.62 cm.

This can be calculated using the formula:

Near point = 100cm / (power of lens in diopters + 1)

Substituting the given values, we get:

Near point = 100cm / (2.90 + 1) = 100cm / 3.90 = 25.64 cm

However, this is the near point for an average viewer. To find the near point for the specific eye with the prescribed contact lens, we need to use the formula:

Near point = 100cm / (power of lens in diopters + 1) - distance correction

If the distance correction is 0, then the near point would be:

Near point = 100cm / (2.90 + 1) - 25cm = 8.62 cm.

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The cyclist and the car will intersect at 11:50 AM.

To determine the approximate time and place at which the car and the cyclist passed each other the following calculation must be performed:

-The advance of each of the parts must be calculated, and the point where said movement coincides.

Therefore, the cyclist and the car will intersect at 11:50 AM.

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Answer:

Step-by-step explanation:

Given:

89.9 from 44.689

789.03 from 999.8

₹ 789.56 from ₹ 1052. 5

15.56 kg from 28 kg

Computation:

89.9 from 44.689

44.689 - 89.9

-45.211

789.03 from 999.8

999.8 - 789.03

210.77

₹ 789.56 from ₹ 1052.5

₹ 1052.5 - ₹ 789.56

₹262.94

15.56 kg from 28 kg

28 kg - 15.56 kg

124.44 kg

Answer: 4

Step-by-step explanation:

First you do the exponent because of "order of operation", which in this case is 2 to the 2nd power or 2 squared. Then you substract the answer you got by doing 2 squared, which is supposed to give you an answer of 4 which then gets substracted by 2, which leads to the answer being 2 and then you add 2 + 2 and the final answer is 4