HELP ASAP!!!
Solve for m in the following equation.

4m/3= 8
m= 10
m= 6
m= 2
m= 96


You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?

What is the correct equation and solution for this problem?

3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds

Thank you!!

Answer:

125

Step-by-step explanation:

131.25   105

of      100

Cross multiply process

131.25x100=108x?

131.25x100=13125

13125=108?

13125/108=?

125=?

:)

Answer:

Below

Step-by-step explanation:

Two points are given....calculate the slope, m = (y1-y2) / (x1-x2)

                            = ( 3-1) / ( 0 - - 8) = 2/8 = 1/4

Only equation II has slope = 1/4

Answer:

Step-by-step explanation:

17

Answer:

p(- 1) = 2 and p(1) = 2

Step-by-step explanation:

Substitute x = - 1 and x = 1 into p(x), that is

p(- 1) = (- 1)² + 1 = 1 + 1 = 2

p(1) = 1² + 1 = 1 + 1 = 2

In order for the function to be continuous at x = -7, the limits from either side as x approaches -7 must be equal:

\(\displaystyle \lim_{x\to-7^-} f(x) = \lim_{x\to-7}(x^2-12x+16) = 149\)

\(\displaystyle \lim_{x\to-7^+} f(x) = \lim_{x\to-7}(kx+268) = -7k+268\)

Solve for k :

149 = -7k + 268

7k = 119

k = 17

The function f(x) is continuous at x = -7 if and only if k = 41. This is because for continuity to hold at x = -7, the value of k must be such that the left-hand limit, right-hand limit, and the actual value of the function at x = -7 are equal. In this case, the value of k that satisfies this condition is k = 41.

For a function to be continuous at a specific point, the following conditions must be satisfied:1. The function must be defined at that point (i.e., the function should have a value at x = -7).

2. The limit of the function as x approaches -7 from the left must be equal to the limit of the function as x approaches -7 from the right.

3. The value of the function at x = -7 must be equal to the limits mentioned in condition 2.

Let's go through each of these conditions step by step for the given function:

Given function:

f(x) = { \(x^2 - 12x + 16\), for x <= -7

        kx + 268, for x > -7

1. The function must be defined at x = -7:The function is defined at x = -7 for the first part of the piecewise definition: x^2 - 12x + 16. So, this condition is satisfied.

2. The limit from the left must be equal to the limit from the right as x approaches -7:We need to calculate the limits as x approaches -7 from the left (LHL) and from the right (RHL) for the second part of the piecewise definition: kx + 268.

LHL as x approaches -7: lim (x->-7-) [kx + 268] = -7k + 268.

RHL as x approaches -7: lim (x->-7+) [kx + 268] = -7k + 268.

Since both the left-hand limit and the right-hand limit are equal (-7k + 268), this condition is satisfied.

3. The value of the function at x = -7 must be equal to the limits: \(f(-7) = -7^2 + 12 * 7 + 16 = 49 - 84 + 16 = -19.\)

The limits from conditions 2 are -7k + 268.

To have continuity, the value of the function at x = -7 must be equal to the limits: -19 = -7k + 268.

Solving for k: -7k = -19 - 268

-7k = -287

k = 41.

So, for the function f to be continuous at x = -7, the value of k must be 41.

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Answer:

A: 12 B: 80

Step-by-step explanation:

92 - 80 = 12

80 students

12 Chaperones

Answer:

12 chaperones and 80 students

Step-by-step explanation:

Start by multiplying the numbers seperatly and then add. Keep doing this till you get to 92.

  20(2)=40. 3(2)=6 46

  20(3)=60. 3(3)=9 69

  20(4)=80. 3(4)=12 92

Now you know there are 12 chaperones and 80 students. There are other ways to answer this problem like using systems of equations but it still gives the correct answer and is less advanced.

       Hope this helps:)

Answer:

The answer is 60

Step-by-step explanation:

Solution:

Complete the ratio

\( \frac{4}{?} = \frac{1}{15} \\ \)

Hope you understand

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

Answer:

\({ \rm{ \sqrt{ \frac{1 + \cos(x) }{1 - \cos(x) } } }} \\ \\ \)

- Rationalize the denominator of the above expression;

\({ \rm{ = \sqrt{ \frac{(1 + \cos(x)).(1 + \cos(x)) }{(1 - \cos(x)).(1 + \cos(x)) } } }} \\ \\ = { \rm \sqrt{ \frac{( {1}^{2} + 2 \cos(x) + \cos ^{2}(x)) }{( {1}^{2} - { \cos }^{2}(x)) } } } \\ \\ = { \rm\sqrt{ \frac{(1 + 2 \cos(x) + { \cos }^{2} (x)) }{(1 - { \cos }^{2}(x)) } } }\)

- From the above expression, 1 - cos²x = sin²x

\( = { \rm{ \sqrt{ \frac{1 + 2 \cos(x) + { \cos }^{2}(x) }{ { \sin }^{2}(x) } } }} \\ \)

\( = { \rm{ \sqrt{ \frac{ {(1 + \cos(x)) }^{2} }{ { \sin}^{2}x } } }} \\ \\ = { \rm{ \frac{ \sqrt{(1 + \cos(x)) {}^{2} } }{ \sqrt{ { \sin}^{2} x} } }} \\ \\ = { \rm{ \frac{1 + \cos(x) }{ \sin(x) } }} \\ \\ = { \rm{ \frac{1}{ \sin(x) } + \frac{ \cos(x) }{ \sin(x) } }} \\ \\ = { \boxed{ \rm{ \: \csc(x) + \cot(x) \: }}}\)

It has been proven that the opposite sides of the parallelogram ABCD are equal

We are told that ABCD is the parallelogram and AC is a diagonal. We observe that the diagonal AC divides parallelogram ABCD into two triangles, namely, ∆ABC and ∆CDA.

Thus, we have o first prove that these triangles are congruent.

In ∆ABC and ∆CDA, w note that BC || AD and AC is a transversal.

Thus, BCA = DAC (Pair of alternate angles)

And AC = CA (reflexive property of congruency)

So, ∆ABC and ∆CDA are congruent (ASA rule).

Therefore, the corresponding parts AB = CD and AD = BC

Hence proved.

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Answer:

x=3

Step-by-step explanation:

The resulting equation after the equations are subtracted is 11x - 8y = -9

From the question, we have the following parameters that can be used in our computation:

8x-4y &= -4 \\\\ -3x+4y &= 5

Rewrite these equations properly

So, we have the following representations

8x-4y = -4

-3x+4y = 5

When the second equation is subtracted from the first, we have the following representation

8x + 3x - 4y - 4y = -4 - 5

Evaluate the like terms

So, we have

11x - 8y = -9

Hence. the solution is 11x - 8y = -9

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The valid conclusion is  A.  We can be 90% ... the mean amount ... is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test, within a certain level of confidence. Confidence, in statistics, is another way to describe probability.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

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The complete question is:-

marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677). Which one of the following conclusions is valid? We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. 90% of the sample said they spent between $217 and $677 at sporting events last year. No conclusion can be drawn.

The amount of money Justin saves in the first month would be 5 times the value of x, where x represents the number of months of gym membership, based on the discounted price provided.

A linear equation is an equation in mathematics that represents a relationship between two variables that is a straight line when graphed on a coordinate plane. It is an equation of the form:

y = mx + b

To calculate the amount of money Justin saves in the first month by joining the gym at the discounted price rather than the regular price, we need to know the discounted price.

The equation given is y = 15x + 20, where y represents the regular price in dollars and x represents the number of months of gym membership. However, we need to know the discounted price, which is not provided in the given information.

Once we have the discounted price, we can substitute it into the equation and calculate the savings. For example, if the discounted price is y = 10x + 20, then we can calculate the savings by subtracting the discounted price from the regular price:

Savings = Regular price - Discounted price

= (15x + 20) - (10x + 20)

= 15x - 10x

= 5x

Hence, the amount of money Justin saves in the first month would be 5 times the value of x, where x represents the number of months of gym membership, based on the discounted price provided.

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The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2

We have to simplify the given expression to find the value of x

1/2(3x + 4) = 1/2x

Cancel 1/2 from both sides

⇒ 3x + 4 = x

⇒ 2x = -4

⇒ x = -2

Hence, the value of x is -2 which makes the given expression true.

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The best interpretation of the mean in this case is:

v. For all possible shipments of size 25, the average number of undamaged shipments is equal to 23.75.

The mean of a binomial distribution represents the average or expected value of the random variable. In this context, the random variable G represents the number of shipments with undamaged bowls in 25 randomly selected shipments. The mean of 23.75 suggests that, on average, out of all possible shipments of size 25, the company can expect to have approximately 23.75 shipments with undamaged bowls.

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The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Answer:

Step-by-step explanation:

Let the miles is x:

It seems incorrect but Alex can drive 4 miles

By differentiating the given equation, we can eliminate the arbitrary constants a and b and obtain the differential equation y'' - 6y' + 18y = -2.

To eliminate the arbitrary constants a and b from the given equation y = \(ae^{(3x)} + be^{(-3x)} - 2x\), we need to differentiate the equation with respect to x.

First, we differentiate y = \(ae^{(3x)} + be^{(-3x)} - 2x\) with respect to x, which gives\(y' = 3ae^{(3x)} - 3be^{(-3x)} - 2.\)

Next, we differentiate y' with respect to x to obtain \(y'' = 9ae^{(3x) }+ 9be^{(-3x)}\).

Substituting these derivatives into the original equation, we have:

\(9ae^{(3x)} + 9be^{(-3x)} - 6(3ae^{(3x)} - 3be^{(-3x) - 2)} + 18(ae^{(3x)} + be^{(-3x)} - 2x) = -2.\)

Simplifying the equation, we get:

\(9ae^{(3x)} + 9be^{(-3x)} - 18ae^{(3x)} + 18be^{(-3x)} + 18ae^{(3x)} + 18be^{(-3x)} - 36x = -2.\)

Cancelling out the terms, we have:

\(-6ae^{(3x)} - 6be^{(-3x)} - 36x = -2.\)

Dividing through by -6, we obtain the final differential equation:

y'' - 6y' + 18y = -2.

Therefore, by differentiating the given equation, we eliminate the arbitrary constants a and b and obtain the differential equation y'' - 6y' + 18y = -2.

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Answer:

6, permutation

Step-by-step explanation:

Book 1, CD 1

Book 1, CD 2

Book 1, CD 3

Book 2, CD 1

Book 2, CD 2

Book 2, CD 3

There are 6 permutations.

Step-by-step explanation:

Add all the money

$5+ 0.25+ 0.40= $5.65

We will use the proportional method to solve the question

Since the distance on the map of actual distance 3038 miles is 10.125 inches

Since we need to find the distance on the map of the actual distance of 3445 miles

Then by using the proportional method

By using the cross-multiplication

Divide both sides by 3038

On the map, the distance between city C and city D is 11.481 inches

Answer:

5 and 44

Step-by-step explanation:

smaller number: x

greater number: 8x + 4

x + 8x + 4 = 49

9x + 4 = 49

9x = 45

x = 5

smaller number: 5

greater number: ?

8(5) + 4 = 40 + 4 = 44

5 + 44 = 49

Hope that helps.

A patent is a form of intellectual property that gives an individual or organization the exclusive right to manufacture, use, and/or sell an invention for a set period of time.

The length of a patent varies by country, but generally lasts for 20 years from the date the patent is filed with the government. This period can be extended in certain cases if the patent office grants a patent term extension.

The formula for calculating the length of a patent is: Length of Patent = Initial 20 Year Period + Extension. The initial 20 year period starts from the filing date of the patent application and is the same for all countries. However, the length of the extension varies depending on the country and the circumstances of the patent. For example, some countries may offer a 5-year extension, while others may offer a 10-year extension.

The length of a patent must be carefully calculated so that the patent owner can maximize the benefits of the patent. By calculating the patent length and extension, the patent owner can ensure that they are able to take advantage of their exclusive right to the invention for the maximum amount of time possible.

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