The revenue equation for a certain brand of toothpaste is y=2.6x, where x is the number of tubes of toothpaste sold and y is the total income for selling x tubes. The cost equation is y=x+2000, where x is the number of tubes of toothpaste manufacturers and y is the cost if producing x rubes. For what x-values will the company make a profit?

The equation 9x − 3x + 1 = k has two distinct real solutions precisely when k < −49​. Therefore, the equation 9x − 3x + 1 = k has two distinct real solutions precisely when k < −49/36.

Given equation is 9x − 3x + 1 = kLet us simplify the given equation9x − 3x + 1 = k⇒ 6x + 1 = k⇒ 6x = k − 1⇒ x = (k − 1) / 6

Now, the discriminant of the given quadratic equation isD = b² - 4ac= (-3)² - 4(9)(1-k)= 9-36(1-k)= - 27-36k

Let us analyze the given equation for different values of k

(i) k < −49/36,  When k < −49/36, D > 0, the roots are real and distinct 9x − 3x + 1 = k⇒ 6x + 1 = k⇒ 6x = k − 1⇒ x = (k − 1) / 6

(ii) k = −49/36,  When k = −49/36, D = 0, the roots are real and equal 9x − 3x + 1 = k⇒ 6x + 1 = k⇒ 6x = k − 1⇒ x = (k − 1) / 6

(iii) k > −49/36,When k > −49/36, D < 0, the roots are complex 9x − 3x + 1 = k⇒ 6x + 1 = k⇒ 6x = k − 1⇒ x = (k − 1) / 6

Thus, we can conclude that the equation 9x − 3x + 1 = k has two distinct real solutions precisely when k < −49/36.

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The main difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial.

In a binomial experiment, there are two possible outcomes (success or failure), denoted by k = 2. On the other hand, a multinomial experiment involves multiple possible outcomes, with k representing the number of distinct outcomes.

In a binomial experiment, each trial has two possible outcomes, typically labeled as success (S) and failure (F). The number of successful outcomes is of interest, and the probability of success remains constant for each trial. The binomial distribution is characterized by parameters such as the number of trials, the probability of success, and the number of successful outcomes.

In contrast, a multinomial experiment involves multiple possible outcomes, with each outcome occurring with a certain probability. The number of possible outcomes is denoted by k, and each outcome can be categorized or labeled differently. The multinomial distribution considers the probabilities associated with each outcome and their respective frequencies.

In summary, the difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial. A binomial experiment has two outcomes (success or failure), while a multinomial experiment involves multiple distinct outcomes, with the number of possible outcomes denoted by k.

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If Kayla as 110 nickels and 90 pennies in her change purse, then she has a total of $6.40. If she has xx nickels and yy pennies, then she has $(5xx + yy)/100 in dollars.

We shall convert the pennies and nickels into same unit before adding to get the expression for the number of coins in dollars Kayla will have in total.

A nickel = 5 cents so;

110 nickels = 110 × 5 cents

110 nickels = 550 cents

A penny = 1 cent, so

90 pennies = 90 cents

110 nickels + 90 pennies = 640 cents

110 nickels + 90 pennies = $ 640/100

110 nickels + 90 pennies = $6.40

A nickel = 5 cents so;

xx nickels = xx × 5 cents

A penny = 1 cent, so

yy pennies = yy cents

xx nickels + yy pennies = (5xx + yy) cents

xx nickels + yy pennies = $(5xx + yy)/100

Therefore, $6.40 is the total value in dollars for Kayla if she has 110 nickels and 90 pennies. And the expression $(5xx + yy)/100 represent the total value if she has xx nickels and yy pennies.

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The area of the circle is  113.04 square units.

The area of a circle of radius R is given by:

A = π*R²

Where π = 3.14

Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:

R = √( (2 - 2)² + (8 - 2)²)

R = 6

Then the area of the circle is:

A = 3.14*(6)² = 113.04 square units.

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Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

25$ will be the final cost.

The cost (y) depends on the number of items purchased (x). We know that there is a flat fee of $10, so we start with the equation

y = 10 + ...

Then we add the cost of each item, which is $5 per item:

y = 10 + 5x

This is the linear equation that represents the total cost as a function of the number of items purchased.

For example, if a customer purchases 3 items, the total cost would be:

y = 10 + 5(3) = 25

So the total cost would be $25.

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Complete question:

A store charges a flat fee of $10 for every purchase, plus an additional $5 for every item purchased. Write a linear equation that represents the total cost (y) as a function of the number of items purchased (x).

The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

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Answer:

\(A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2\)

The surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a triangular prism, is showing in the picture:

Here  a = 25

b = 25

c = 14

h = 44

The surface area of the triangular prism is given by:

\(\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4]\)

Plug all the values in the formula we get:

A = 3152 square cm

Thus, the surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

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Explanation:

To see which one is the closest approximation we can check their squares:

• 5² = 25

• 11² = 121

• 12² = 144

• 62²...well this one will be a big number, and it will be bigger than 144 so we don't need to find this square.

We can see that 11² is 3 units less than 124 and 12² is 20 units greater. Therefore, the closest number is 11.

Answer:

B. 11

Answer:

Step-by-step explanation:

7. 2/5

8. 3/5

9. 2/5

10. 2/5

Answer:

Number 7: 2/5 chance or 40%

Number 8: 4/5 or 80% chance

Number 9: 2/5 chance

Number 10: 2/5 chance

Step-by-step explanation:

For each one, you put the total number of polygons at the bottom of the fraction or the denominator and the number of how many of them answer the question as the numerator.

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

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Answer:

the ans is 108

Step-by-step explanation:

let the three consecutive no. be 'x'

by question:

x+x+x=324

or,3x=324

or,x =324÷3

or, x=108

checking this answer

108+108+108

=324

Answer:

two-point

Step-by-step explanation:

It is two-point, as views from the object vanish into two points.

All three parts of the given problem regarding trails, paths and walks have been solved below.

A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.

The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4

there can be 44 ways

so,

number of paths from a to c = 4

number of trails from a to c = 4+3!(4)= 28

number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44

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Answer:

0, -2, 2, -1

Step-by-step explanation:

You are trying to make it so that the one of the (  )= 0.

An example is (x+15) or (2x+3)

the first l one would be x= -15 since -15+15 would equal 0.

The second one is -3/2 since it would be -3+3 which would equal 0.

also since the equation starts with x( or -x it doesn't really matter) one of the zeros would also be 0.

Hope this helps!

The solution of the inverse Laplace transforms is mathematically given as

1)

Generally, the equation for the function is  mathematically given as

\($F_{1}(s)=\frac{6 s^{2}+8 s+3}{s\left(s^{2}+2 s+5\right)}$\)

By Applying the Partial fractions method

\(\frac{6 s^{2}+8 s+3}{s\left(s^{2}+2 s+5\right)}=\frac{A}{s}+\frac{B s+C}{s^{2}+2 s+5}\)

\($6 s^{2}+8 s+3=A\left(s^{2}+2 s+5\right)+(B s+C) s$\)

\(\begin{aligned}&3=5 A \\&A=\frac{3}{5}\end{aligned}\)

Considers s^2 coefficient

\(\begin{aligned}&6=A+B \\&B=6 \cdot A \\&B=\frac{27}{5}\end{aligned}\)

Consider s coeffici ent

\(\begin{aligned}&8=2 A+C \\&C=8-2 A \\&C=\frac{34}{5}\end{aligned}\)

Putting these values into the previous equation

\(&F_{1}(s)=\frac{3}{5 s}+\frac{27 s+34}{5\left(s^{2}+2 s+5\right)} \\\\&F_{1}(s)=\frac{3}{5 s}+\frac{27(s+1)}{5\left((s+1)^{2}+4\right)}+\frac{7 \times 2}{10\left((s+1)^{2}+4\right)}\)

By taking Inverse Laplace Transforms

\(f_{1}(t)=\frac{3}{5}+\frac{27}{5} e^{-t} \cos (2t) + \frac{7}{10}\\\\\)

\(f_{1}(t)=e^{-t}\sin (2 t)\)

For B

\($F_{2}(s)=\frac{s^{2}+5 s+6}{(s+4)(s+1)^{2}}$\)

By Applying Partial fractions method

\(\begin{aligned}&\frac{s^{2}+5 s+6}{(s+4)(s+1)^{2}}=\frac{A}{s+1}+\frac{B}{(s+1)^{2}}+\frac{C}{s+4} \\\\&s^{2}+5 s+6=A(s+1)(s+4)+B(s+4)+C(s+1)^{2}\end{aligned}\)

at s=-1

\(1-5+6=3 B \\\\B=\frac{2}{3}\)

at s=-4

\(&16-20+6=9 C \\\\&9 C=2 \\\\&C=\frac{2}{9}\)

at s^2 coefficient

1=A+C

A=1-C

A=7/9

inputting Variables into the Previous Equation

\(\begin{aligned}&F_{2}(s)=\frac{A}{s+1}+\frac{B}{(s+1)^{2}}+\frac{C}{s+4} \\&F_{2}(s)=\frac{7}{9(s+1)}+\frac{2}{3(s+1)^{2}}+\frac{2}{9(s+4)}\end{aligned}\)

By taking Inverse Laplace Transforms

\(f_{2}(t)=\frac{7}{9} e^{-t}+\frac{2}{3} e^{-t}+\frac{2}{9} e^{-4 t}\)

For C

\($F_{3}(s)=\frac{10}{(s+1)\left(s^{2}+4 s+8\right)}$\)

Using the strategy of Partial Fractions

\(\frac{10}{(s+1)\left(s^{2}+4 s+8\right)}=\frac{A}{s+1}+\frac{B s+C}{s^{2}+4 s+8}\)

\(10=A\left(s^{2}+4 s+8\right)+(B s+C)(s+1)\)

S=-1

10=(1-4+8) A

A=10/5

A=2

Consider constants

10=8 A+C

C=10-8 A

C=10-16

C=-6

Considers s^2 coefficient

0=A+B

B=-A

B=-2

inputting Variables into the Previous Equation

\(&F_{3}(s)=\frac{2}{s+1}+\frac{-2 s-6}{\left((s+2)^{2}+4\right)} \\\\&F_{3}(s)=\frac{2}{s+1}-\frac{2(s+2)}{\left((s+2)^{2}+4\right)}-\frac{2}{\left((s+2)^{2}+4\right)}\)

Inverse Laplace Transforms

\(f_{3}(t)=2 e^{-t}-2 e^{-2 t} \cos (2 t)-e^{-2 t} \sin (2 t)\)

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According to the question the word "Liberty" on the quarter is about 0.872 inches long.

In geometry, a circle's diameter is any straight segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. Either idea can be used to determine a sphere's diameter. The diameter is indeed the length of both the line perpendicular to the two points at each end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

Since the quarter has a diameter of about 1 inch, we can use its diameter as a reference to estimate the length of the word "Liberty" on the quarter.

If the word "Liberty" makes about a 100° angle, that means it takes up about 100/360 or 5/18 of the circumference of the quarter. The circumference of a circle is given by:

C = 2πr

where C is indeed the circumference, pi (roughly 3.14), is a mathematical constant, and r is the circle's radius. The quarter's approximate 1 inch diameter means that the radius equals 1/2 inch, approximately 0.5 inches.

The circumference of the quarter is therefore:

C = 2π(0.5 inches) = π inches

The length of the word "Liberty" on the quarter is approximately 5/18 of this circumference, which is:

(5/18) × π inches ≈ 0.872 inches

So the word "Liberty" on the quarter is about 0.872 inches long.

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Answer:

y = 0.5,  1,  1.5,  2

Step-by-step explanation:

x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2

hope this helped!

Answer:

4.  m_LON + m_MON = m_LON; m_JKL + m_IKH = m_HKJ

Step-by-step explanation:

Both interior angles of each add up to m_LON:m_HKJ

To prove this we show the interior angles add + sign to each prove LON angle, and : colon separates from the proof of m_JKL+m_IKH= m_HKJ.

Answer:

160

Step-by-step explanation:

70% of 160=112.

A handy trick is to divide the number by the percentage.

Brainliest please I need those points.

Based on the given information, we can assume that the survey has a 95% confidence level, which means that the margin of error can be calculated using the formula:

Margin of Error = (maximum difference in percentage points / 2)

The maximum difference in percentage points between the two candidates is 53% - 47% = 6%. Dividing this by 2 gives us a margin of error of 3%. Therefore, we can say that the results of the phone survey indicate that between 44% and 56% of voters may choose candidate a over candidate b (with a margin of error of +/- 3%).

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Answer: 10x36

Step-by-step explanation: 5x18 multiply by 2 and 2. 5 times 2 is 10 and 18 times 2 is 36.

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

\(27a^3-54a^2b+36ab^2-8b^3\)

Step-by-step explanation:

To expand the expression (3a - 2b)³, we can use the Perfect Cube Formula.

\(\boxed{\begin{minipage}{6 cm}\underline{Perfect Cube Formula}\\\\$(x-y)^3=x^3-3x^2y+3xy^2-y^3$\\\end{minipage}}\)

Let:

Substitute the values into the formula, and use the exponent rule

\(\boxed{(xy)^n=x^n \cdot y^n}\) :

Therefore:

\(\begin{aligned}(3a-2b)^3&=(3a)^3-3(3a)^2(2b)+3(3a)(2b)^2-(2b)^3\\&=3^3 \cdot a^3-3 \cdot 3^2 \cdot a^2 \cdot 2b+3 \cdot 3a \cdot 2^2\cdot b^2-2^3\cdot b^3\\&=27a^3-3 \cdot 9 \cdot a^2 \cdot 2b+9a \cdot 4b^2-8b^3\\&=27a^3-54a^2b+36ab^2-8b^3\end{aligned}\)

So the expression (3a - 2b)³ expanded is 27a³ - 54a²b + 36ab² - 8b³.

Answer:

\(10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8\)

\(11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p\)

\(12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w\)

\(13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d\)

\(\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}\)

\(14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t\)

\(15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x\)

Your answer to this question would be A.

(Aka) 401.92 in sq 2

Answer:

a ;)

this answer was to short so i had to add stuff.

The continuous uniform probability distribution is a form of probability distribution in statistics. In the continuous uniform distribution, all outcomes have an equal chance of occurring. It is also referred to as the rectangular distribution.

The continuous uniform distribution is applied to continuous random variables and can be useful for finding the probability of an event in an interval of values. This probability is represented by the area under the curve, which is uniform in shape.

In general, the distribution assigns equal probabilities to every value of the variable, giving it a rectangular shape.A uniform distribution has the property that the areas of its density curve that fall within intervals of equal length are equal. The curve's shape is thus rectangular, with no peaks or valleys.

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The form of the continuous uniform probability distribution is f(x) = 1 / (b - a).

The continuous uniform probability distribution has the following form:

f(x) = 1 / (b - a)

where f(x) is the probability density function (PDF) of the distribution, and a and b are the lower and upper bounds of the distribution, respectively.

In other words, for any value x within the interval [a, b], the probability of obtaining that value is constant and equal to 1 divided by the width of the interval (b - a). Outside this interval, the probability is 0.

This distribution is called "uniform" because it assigns equal probability to all values within the specified interval, creating a uniform distribution of probabilities.

Complete Question:

The form of the continuous uniform probability distribution is _____.

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