Factor 2x^4-5x^3+6x^2-15x completely over the set of integers

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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9514 1404 393

Answer:

  True

Step-by-step explanation:

That is the conventional explanation for the "placebo effect." True

__

Additional comment

It is likely there is more to it than that. There is pretty good evidence that experimenter expectations, and the expectations of others, play a role, too.

Answer:

$6.39

Step-by-step explanation:

100-20=80 then divided by 100 which is .80

.8 times 7.99 is 6.39

hope this helps

Answer:

\( {3}^{x} = 3 \times {2}^{x} \\ x = \frac{ln(3)}{ln(3) -ln(2) } = \frac{1.09}{1.09 - 0.69} \\ x = 2.7\)

I hope I helped you^_^

Answer:

(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

to find the y values, plug in the given x values into the equation y= 4x+7

when x = 0

y = 4(0) + 7

y = 0 + 7

y = 7

so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)

when x = 1

y = 4(1) + 7

y = 4 + 7

y = 11

so the y value that corresponds to the x value 1 is 11; also written as (1, 11)

when x = 2

y = 4(2) + 7

y = 8 + 7

y = 15

so the x value 2 corresponds to the y value 15; also written as (2 , 15)

hope this helps

Answer:(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

Answer:

Sin(45) = \(\frac{\sqrt{2} }{2}\) , therefore Letter E is the answer ..

Step-by-step explanation:

Sin(45) = \(\frac{\sqrt{2} }{2}\) , therefore Letter E is the answer ..

Answer:

take sin 45

Step-by-step explanation:

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

Bree hikes for 4 kilometers per hour

Answer:

D

Step-by-step explanation:

x represents time and y represents disrtance in relation to time.

(when you look at 1 sec you can tell that the y value is 4 meaning that the realtion is y=4x)

To find the slope of the curve at t=3, we first need to find the values of x and y at t=3 using the given equations.

x = (3)^5 + 3 = 246

y + 3(3)^5 = 3

y = -1347

Next, we can differentiate both equations with respect to t to get the following:

dx/dt = 5t^4 + 1

dy/dt = -15t^4

At t=3, we get

dx/dt = 5(3)^4 + 1 = 454

dy/dt = -15(3)^4 = -1215

Therefore, the slope of the curve at t=3 is given by dy/dx = (dy/dt)/(dx/dt) = (-1215/454) ≈ -2.68. This means that the curve is decreasing (sloping downwards) at t=3.

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Answer:

my bad but give me them points

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer: C

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{169}{49}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\((\frac{13}{7})^2\\\rule{150}{0.5}\\\rightarrow \text{Recall the exponent rule: } (\frac{a}{b})^c =\frac{a^c}{b^c}\\\\\rightarrow (\frac{13}{7})^2\\\\\rightarrow \frac{13^2}{7^2}\\\\\rightarrow \boxed{\frac{169}{49} }\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

1. We might expect Diego's data set to have the largest MAD, and Lin's data set to have the smallest MAD.

2. Our predictions were correct: Diego's data set has the largest MAD (2.33), while Lin's data set has the smallest MAD (1.67).

1. We can predict that the data set with the largest MAD is likely to be the one with the highest variability in the number of text messages sent, and vice versa. Based on the mean values provided, we can see that Diego sent the most messages on average (mean of 6 per day), followed by Jada (mean of 5 per day), and Lin sent the fewest messages on average (mean of 4 per day). Therefore, we might expect Diego's data set to have the largest MAD, and Lin's data set to have the smallest MAD.

2. To compute the MAD (Mean Absolute Deviation) for each data set, we first need to find the deviation of each data point from the mean, then take the absolute value of each deviation, and finally find the average of the absolute deviations.

For Jada:

The deviations from the mean for each day are: -1, 1, -3, 2, -2, 3

Taking the absolute value of each deviation, we get: 1, 1, 3, 2, 2, 3

The average of these absolute deviations is: (1+1+3+2+2+3)/6 = 2

For Diego:

The deviations from the mean for each day are: -1, 1, -3, 2, 4, -3

Taking the absolute value of each deviation, we get: 1, 1, 3, 2, 4, 3

The average of these absolute deviations is: (1+1+3+2+4+3)/6 = 2.33

For Lin:

The deviations from the mean for each day are: 2, -1, -1, -2, 3, -1

Taking the absolute value of each deviation, we get: 2, 1, 1, 2, 3, 1

The average of these absolute deviations is: (2+1+1+2+3+1)/6 = 1.67

Therefore, our predictions were correct: Diego's data set has the largest MAD (2.33), while Lin's data set has the smallest MAD (1.67).

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Answer:

The solution to the equation is;

Explanation:

Given the system of equation:

Solving by elimination:

Let us subtract equation 1 from equation 2;

since t = -2, we can use equation 1 to solve for r;

Therefore, the solution to the equation is;

Flowchart:

Start

Set k = 1

While k is less than or equal to n

Find the pivot element in the kth column and swap rows if necessary

For i = k+1 to n

Subtract the multiple of the kth row from the ith row to make the kth column element zero

Increment k

End

Implementation:

A = [1, 2, -1, 0; 2, 4, -2, -1; -3, -5, 6, 1; -1, 2, 8, -2];

b = [-1; 3; 0; 1];

n = length(b);

for k = 1:n-1

% Find the pivot element

pivot = abs(A(k,k));

pivot_row = k;

for i = k+1:n

if abs(A(i,k)) > pivot

pivot = abs(A(i,k));

pivot_row = i;

end

end

% Swap rows if necessary

if pivot_row ~= k

   temp = A(k,:);

   A(k,:) = A(pivot_row,:);

   A(pivot_row,:) = temp;

   temp = b(k);

   b(k) = b(pivot_row);

   b(pivot_row) = temp;

end

% Make the kth column element zero in the remaining rows

for i = k+1:n

   factor = A(i,k)/A(k,k);

   A(i,:) = A(i,:) - factor*A(k,:);

   b(i) = b(i) - factor*b(k);

end

end

Algorithm for solving Ux = b:

Start

Set x(n) = b(n)/U(n,n)

For k = n-1 to 1

Set sum = 0

For i = k+1 to n

Set sum = sum + U(k,i)*x(i)

Set x(k) = (b(k)-sum)/U(k,k)

End

Implementation:

% Using the upper triangular matrix obtained from step 2

x(n) = b(n)/A(n,n);

for k = n-1:-1:1

sum = 0;

for i = k+1:n

sum = sum + A(k,i)*x(i);

end

x(k) = (b(k)-sum)/A(k,k);

end

Comparison:

Solution using the algorithm:

x = [-2; 2; 3; 2];

Solution using "inv(A)*b" in Matlab:

x = [-2; 2; 3; 2];

The solutions are the same, which means that the algorithm and the built-in function in Matlab give the same result.

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The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer: 270 inches squared

Answer:

The wife earns $95,000.

man they save up they can get a Rolls-Royce i wonder what there job is cause i want it. lol PLS GIVE ME BRAINLIEST

Answer: 20 cm

If quadrilaterals WXYZ and BADC are congruent, then their corresponding sides are congruent.

Given that

WX≅DC,

XY≅BC,

you can state that

YZ≅AB,

WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

4.3890563e+45!!

Step-by-step explanation:

a meal can be chosen is 546 different ways.

Answer:

∆OPQ is not similar to ∆RST

Step-by-step explanation:

It is shown that ∆OPQ is an equilateral triangle but ∆RST is a right-angled triangle so they have different angles and sides

Answer:

not similar because ∆RST has a 90° angle and ∆OPQ does not have a 90° angle

Let a (n) denote the n-th term of the given sequence.

Check the forward differences, and denote the n-th difference by b (n). That is,

b (n) = a (n + 1) - a (n)

These so-called first differences are

b (1) = a (2) - a (1) = 25 - 7 = 18

b (2) = a (3) - a (2) = 51 - 25 = 26

b (3) = a (4) - a (3) = 85 - 51 = 34

b (4) = a (5) - a (4) = 127 - 85 = 42

Now consider this sequence of differences,

18, 26, 34, 42, …

and notice that the difference between consecutive terms in this sequence b is 8:

26 - 18 = 8

34 - 26 = 8

42 - 34 = 8

and so on. This means b is an arithmetic sequence, and in particular follows the rule

b (n) = 18 + 8 (n - 1) = 8n + 10

for n ≥ 1.

So we have

a (n + 1) - a (n) = 8n + 10

or, replacing n + 1 with n,

a (n) = a (n - 1) + 8 (n - 1) + 10

a (n) = a (n - 1) + 8n + 2

We can solve for a (n) by iteratively substituting:

a (n) = [a (n - 2) + 8 (n - 1) + 2] + 8n + 2

a (n) = a (n - 2) + 8 (n + (n - 1)) + 2×2

a (n) = [a (n - 3) + 8 (n - 2) + 2] + 8 (n + (n - 1)) + 2×2

a (n) = a (n - 3) + 8 (n + (n - 1) + (n - 2)) + 3×2

and so on. The pattern should be clear; we end up with

a (n) = a (1) + 8 (n + (n - 1) + … + 3 + 2) + (n - 1)×2

The middle group is the sum,

\(\displaystyle 8\sum_{k=2}^nk=8\sum_{k=1}^nk-8=\frac{8n(n+1)}2-8=4n^2+4n-8\)

so that

a (n) = a (1) + (4n ² + 4n - 8) + 2 (n - 1)

a (n) = 4n ² + 6n - 3

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19