7. Juan resuelve un examen que contiene 40 preguntas, se sabe que el número de preguntas buenas es el triple del número de preguntas malas (no dejó ninguna pregunta en blanco). ¿Cuántas preguntas buenas contestó? Si por cada pregunta le asignan 3 puntos y por cada error le restan un punto ¿Cuál fue su puntaje? A) 10,90 B) 20,100 C) 30,80 D) 40,60 E) 50,120

Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

The polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Given:

\($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

To find:

the value of B is a polynomial expression.

Step 1

Let, \($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$\)

Simplifying the above equation as

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$\)

then, we get

\($\frac{B}{6 n^{3}}=1$$\)

Step 2

Multiply both sides by \($6 n^{3}$\), then we get

\($\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$\) where, \(\quad n \neq 0\)

Simplifying the equation as

\($B=6 n^{3}\) ; where, \(\quad n \neq 0\)

The value of \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Therefore, the polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

When two rays intersect an angle is created, As different classification of angles are there on the basis of measurement of angles and on the basis of properties of angles.

When two rays or straight lines intersect at one of their ends, an angle is created. Vertex of an angle refers to the point at which two points meet. The Latin word "angulus," which means "corner," is the origin of the English term "angle."

Symbol of Angle

The symbol ∠ represents an angle. Angles are measured in the form of degrees (°) using a protractor.

For example, 45 degrees is represented as 45°

Sections of Angles

Types of Angles

Based on their measurements, here are the many types of angles:

Interior and Exterior Angles:

Interior angles: Interior Angles are angle formed inside the shape.

Exterior angles: Exterior angles are to be angles that is formed outside a shape, between any side of  shape and to an extended adjacent side.

Complementary and Supplementary Angles:

Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles.

Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles.

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y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

Answer:

$215.25

Step-by-step explanation:

Answer:

The y-intercept and slope are wrong. In this problem, they are mixed up.

Step-by-step explanation:

In an equation like that, the y-intercept not supposed to be attached to the x. In this problem, the y-intercept point would be 4, not -3. Instead, the -3 represents the slope (rise/run).

Answer:

  15 kg

Step-by-step explanation:

We can multiply the given ratio units by 6 to make them be integers:

  (1/2) : (1/3) = 3 : 2

Then we can see that the second man has 2/3 the weight of the first man.

  (2/3)(22.5 kg) = 15 kg

The second person weighs 15 kg.

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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Answer:

I think option (D) 4 is correct

Answer:

Step-by-step explanation:

E D G E

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

266.5

Step-by-step explanation:

I directly used calculator

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Answer:

Step-by-step explanation:

The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.

What is upper and lower bound of a function?

A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.

Given,

 \(f(h) = \frac{48-h}{48}\)

where    f(h) = Percentage of battery left

              h = Hours of cell phone use

Lower Bound of parameter h,

h = 0 ( When percentage is 100%)

f(h) = \(\frac{48 - 0}{48}\) = 1

Upper bound of parameter h,

h = 48 (When percentage is 0%)

f(h) = \(\frac{48-48}{48}\) = 0

Therefore the upper bound of h is 0 and lower bound of h is 1.

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Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

A new college graduate in business would need to earn at least $78,278 in order to have a starting salary higher than % of starting salaries of new college graduates in health sciences.

a. To find the probability that a new college graduate in business will earn a starting salary of at least X, we need to calculate the z-score:
z = (X - ) /
Using the given values, we have:
z = (X - ) /
z = (X - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if X = 60,000, then:
z = (60,000 - ) /
z = (60,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.8643. Therefore, the probability that a new college graduate in business will earn a starting salary of at least $60,000 is 0.8643.
b. Similarly, to find the probability that a new college graduate in health sciences will earn a starting salary of at least Y, we need to calculate the z-score:
z = (Y - ) /
Using the given values, we have:
z = (Y - ) /
z = (Y - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if Y = 50,000, then:
z = (50,000 - ) /
z = (50,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.9332. Therefore, the probability that a new college graduate in health sciences will earn a starting salary of at least $50,000 is 0.9332.
c. To find the probability that a new college graduate in health sciences will earn a starting salary less than Z, we need to calculate the z-score:
z = (Z - ) /
Using the given values, we have:
z = (Z - ) /
z = (Z - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if Z = 45,000, then:
z = (45,000 - ) /
z = (45,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.8289. Therefore, the probability that a new college graduate in health sciences will earn a starting salary less than $45,000 is 0.8289.
d. To find the salary that a new college graduate in business would need to earn in order to have a starting salary higher than % of starting salaries of new college graduates in health sciences, we need to find the z-score corresponding to this percentile.
From the given information, we know that  is the average starting salary for new college graduates in health sciences, and  is the standard deviation. Using the z-table, we can find the z-score corresponding to the percentile. For example, if we want to find the salary that is higher than % of starting salaries of new college graduates in health sciences, then the z-score is approximately 1.44.
Now, we can use the z-score formula to find the corresponding salary for a new college graduate in business:
z = (X - ) /
1.44 = (X - ) /
Solving for X, we get:
X =  + 1.44
Using the given values, we have:
X =  + 1.44
X =  + (1.44 x )
Substituting the values of  and , we get:
X =  + (1.44 x )
X =  + (1.44 x )
Rounding to the nearest whole number, we get:
X = $78,278

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The percentile rank of score 71 on the test is 26.7 and The score of the 60th percentile on the test is 84.

The figure that a particular percentage falls within is referred to as the percentile. For instance, 80% of the kids in a group of 20 are shorter than you, and Ben is the fourth tallest.

Given:

58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96

Calculate the percentile of score 71 as shown below,

\(Percentile= n / N \times 100\)

Here, n is the number of scores below 71 and N is the total number of scores,

Percentile = 4 / 15 × 100

Percentile = 0.267 × 100

Percentile = 26.7 percentile

Therefore, the percentile rank of score 71 on the test is 26.7

(B)

Substitute the value in the formula given below,

60 = n / 15 × 100

n / 15 = 60 / 100

n = 0.6 ×  15

n = 9

Thus, the 9th term here is 84,

Therefore, the score of the 60th percentile on the test is 84.

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Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

now that we know the shapes we must find out which shapes are shaded

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

||

\/

Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

\(\Rightarrow \cos x=\dfrac{12}{16}\)

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

\(\Rightarrow \cos x=\dfrac{y}{12}\)

Substitute the value of \(\cos x\)

\(\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}\)

Answer:

Step-by-step explanation:

Well, all we have to do is square 12.

= \(12^{2}\)

= 12 x 12

= 144

The total square footage of the room is 144 feet.

I am not sure if this answer is correct, so please tell me if I am wrong. I hope this answer helped you! :)

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

Distance = 21.0049 inches

Step-by-step explanation:

Given the following data;

Speed = 3.395 inches per minute.

Time = 6.187 minutes

To find the distance;

Distance = speed * time

Substituting into the equation, we have;

Distance = 3.395 * 6.187

Distance = 21.0049

Answer:

1.20 a bag

Step-by-step explanation:

Divide 9.60 by 8

Answer:

0.15 x A

Step-by-step explanation:

15% is equal to 0.15

of means multiplication

0.15 x A

Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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The two outliers in the scatter plot below are the points with shoe size 5 and shoe size 12.

These outliers are likely due to the fact that the data set includes people of all ages, and shoe size is not a linear function of height. For example, a 5-year-old child is likely to have a shoe size of 5, even though they are much shorter than an adult with a shoe size of 5. Similarly, an adult with a shoe size of 12 is likely to be much taller than a child with a shoe size of 12.

In order to get a more accurate representation of the relationship between height and shoe size, it would be necessary to remove the outliers and only consider data from people of similar ages.

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At x=0

at x=1

at x=2

a=1/2

So correct option is (c).