Y=x^3 - 3x^2 - 72x - 10
​

Based on the information, here are the converted measurements:

It should be noted that to convert the given measurements, we can use the following conversion factors:

1 kilogram (kg) = 1,000 grams (g)

1 meter (m) = 100 centimeters (cm)

1 liter (L) = 1,000 milliliters (mL)

1 meter (m) = 100 centimeters (cm)

1 meter (m) = 1,000 millimeters (mm)

Let's convert each measurement:

12,000 g = ? kg

To convert grams to kilograms, we divide by 1,000:

12,000 g = 12,000 / 1,000 = 12 kg

120 cm = ? mm

To convert centimeters to millimeters, we multiply by 10:

120 cm = 120 * 10 = 1,200 mm

1.2 L = ? mL

To convert liters to milliliters, we multiply by 1,000:

1.2 L = 1.2 * 1,000 = 1,200 mL

1,200 cm = ? m

To convert centimeters to meters, we divide by 100:

1,200 cm = 1,200 / 100 = 12 m

0.12 m = ? mm

To convert meters to millimeters, we multiply by 1,000:

0.12 m = 0.12 * 1,000 = 120 mm

Learn more about measurement on

https://brainly.com/question/27122947

#SPJ1

The correct statement is: 'A standard normal distribution has a mean of 0 and a standard deviation of 1 '

The correct answer is an option (b)

In this question, we need to complete given statement.

We know that the normal distribution is a symmetrical and bell-shaped distribution.

In standard normal distribution the mean, median and mode are all equal. Also, it always has a mean of zero and a standard deviation of one.

So,  A standard normal distribution has a mean of 0 and a standard deviation of 1 .

Find more about standard normal distribution:

https://brainly.com/question/29509087

#SPJ4

The correct answer is that he used an expression for Surface area that only finds the total area of three faces.

Vikram made an error in his expression for finding the surface area of the square pyramid. Let's break down the different components of his expression:

(33.2) (34.2) represents the area of the four triangular faces of the pyramid.

4 (one-half (34.2) (28.4)) represents the area of the four lateral faces of the pyramid.

However, Vikram used the same expression for the area of all four lateral faces, which is incorrect. The lateral faces of a square pyramid are not all congruent triangles. They are isosceles triangles with base length equal to the side length of the square base and slant height equal to the height of the pyramid. Therefore, the area of each lateral face is not the same.

Instead, to find the area of each lateral face, we can use the formula:

one-half (base length) (slant height)

In this case, the base length is 34.2 inches and the slant height is the height of the pyramid, which is 28.4 inches. Therefore, the area of each lateral face is:

one-half (34.2) (28.4) = 487.56 square inches

To find the total surface area of the square pyramid, we need to add the area of the base to the sum of the areas of the four lateral faces. The area of the square base is:

(34.2)2 = 1168.64 square inches

Therefore, the correct expression for finding the surface area of the square pyramid is:

(33.2) (34.2) + 4 (one-half (34.2) (28.4)) + (34.2)2 = 3195.76 square inches

Vikram's expression only finds the total area of three faces, which means he forgot to include the area of the base of the pyramid. Therefore, the correct answer is that he used an expression for surface area that only finds the total area of three faces.

To know more about Surface area.

https://brainly.com/question/16519513

#SPJ11

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

Answer:

c.22

Step-by-step explanation:

C=66

22*3=66

Total monthly saving = $1,315

Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.

Given:

                        Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

Now,

Saving in house

= $1200 - $565

= $635

Saving in food

= $655 - $545

= $110

Saving in health care

= $495 - $245

= $250

Saving in taxes

= $625 - $450

= $175

Saving in necessities

= $495 - $350

= $145

Total saving = $635+$110+$250+$175+$145

                    = $1,315

Hence, the monthly savings should be $1,315.

Learn more about this concept here:

https://brainly.com/question/13096261

#SPJ1

The complete question is

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?

Answer:

Step-by-step explanation:

s = 20, t = 4

s = 30, t =?

\(\frac{20}{4} = \frac{30}{t}\)

\(20t = 120 \\t = 6\)

∴ t is 6 when s is 30.

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

To learn more about median click here: brainly.com/question/300591

#SPJ11

The value of c in cents when he bought 3 cakes for c cents and 2 loaves of bread for 2c - 11 cents each is 87 cents.

He buys 3 cakes that cost c cents each.

Therefore,

cost of the 3 cakes = 3c

2 loaves of bread that cost 2c - 11 cents each. Therefore,

cost of the two loaf of bread = 2(2c - 11) = 4c - 22

Hence, the total amount he spends can be represented as follows:

5.87 dollars = 587 cents

Therefore,

3c + 4c - 22  = 587

7c = 587 + 22

7c = 609

c = 609 / 7

c = 87

learn more on equation here: https://brainly.com/question/9898024

Answer:

The vertex of the quadratic function f(x) = -2x^2 + 8x is (2, 8).

Step-by-step explanation:

To find the vertex of the quadratic function f(x) = -2x^2 + 8x, we first need to find the x-coordinate of the vertex using the formula:

x = -b / 2a

where a = -2 and b = 8. Substituting these values, we get:

x = -8 / 2(-2) = 2

Now, to find the y-coordinate of the vertex, we can substitute this value of x back into the equation: f(2) = -2(2)^2 + 8(2) = 8

4 is the value of s in the equation 3r = 10 5s, when r = 10. Hence, option A is correct.

A function is an expression, rule, or law that establishes the relationship between an independent variable and a qualified variable. In mathematics, functions exist everywhere, and they are crucial for making physical links in the sciences.

The Given equation is

3r = 10 - 5s

and also told that r = 10.

Substituting r = 10 into the equation, we get:

3(10) = 10 - 5s

Simplifying:

30 = 10 - 5s

Subtracting 10 from both sides:

20 = -5s

Dividing both sides by -5:

s = -4

Since, the value of s in the equation 3r = 10 - 5s, when r = 10, is -4.

Thus, option A is correct.

For more information about function, click here:

https://brainly.com/question/12431044

#SPJ7

Answer:

1) m = h - w/8

Subtract h from both sides.

m - h = -w/8

Subtract m from both sides.

-h = -m - w/8

Divide all terms by -1.

h = m + w/8.

2) m = h - w/8

Get rid of the denominator 8 by multiplying 8/1 to all terms.

8m = 8h - w

Add w on both sides and subtract 8m from both sides.

w = 8h - 8m

3) w = x + y/z

Get rid of the denominator z by multiplying it to all terms.

wz = xz + y

Subtract xz from both sides of the equation.

wz - xz = y OR y = wz - xz

4) w = x + y/z

Subtract x from both sides.

w - x = y/z

Get rid of the denominator by multiplying it to all terms.

wz - xz = y

Now factor the expression wz - xz.

z(w - x) = y

Divide both sides by w - x.

z = y / w - x

This is read as z equals to y divided by w minus x.

5) The area of a triangle is A = 1/2bh

First, get rid of the denominator by multiplying both sides by 2.

2A = bh

To find b, divide both sides by h.

2A/h = b

6) P = kt/v

Multiply both sides by v.

Pv = kt

Divide both sides by t.

Pv/t = k OR k = Pv/t.

Step-by-step explanation:

Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

Here's the MATLAB code that takes an n x n matrix as input, calculates its eigenvalues and eigenvectors, lists its eigenvalues, and corresponding eigenvectors, and verifies that each pair of eigenvectors and eigenvalues meet the definition:```
% get matrix from user
n = input('Enter matrix size: ');
mat = input('Enter matrix elements: ');
disp('Matrix entered:');
disp(mat);
% compute eigenvalues and eigenvectors
[eigvec, eigval] = eig(mat);
% list eigenvalues in order
eigvals = diag(eigval);
[sorted_eigvals, indices] = sort(eigvals);
disp('Eigenvalues in order:');
for i = 1:n
   fprintf('eig_%d = %f\n', i, sorted_eigvals(i));
end
% list corresponding eigenvectors
disp('Corresponding eigenvectors:');
for i = 1:n
   eigvec_i = eigvec(:, indices(i));
   fprintf('The eigenvector for eigenvalue eig_%d is [%s]\n', i, num2str(eigvec_i'));
end
% verify definition
disp('Verify definition Matrix*eigenvector=eigenvalue*eigenvector:');
for i = 1:n
   eigval_i = sorted_eigvals(i);
   eigvec_i = eigvec(:, indices(i));
   result = mat*eigvec_i - eigval_i*eigvec_i;
   fprintf('For eig_%d: [%s] = [%s]\n', i, num2str(result'), num2str(zeros(n,1)'));
end
```

Learn more about MATLAB here:

https://brainly.com/question/30763780

#SPJ11

A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

Learn more about compound interest here:

https://brainly.com/question/11233137

#SPJ11

keeping in mind that in a rhombus the diagonals always meet at right-angles, Check the picture below.

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

<95141404393>

Statistical significance refers to the likelihood that the association between two variables is not due to chance alone. In other words, it is a measure of the probability that the observed relationship between two variables is real and not just a result of random variation or sampling error.

When analyzing data, researchers often use statistical tests to determine whether there is a significant association between two variables. A p-value is calculated, which represents the probability that the observed relationship between the variables is due to chance. If the p-value is less than a predetermined threshold (usually 0.05), the results are considered statistically significant, and the researchers can conclude that there is a real association between the variables. It's important to note that statistical significance does not necessarily imply practical significance. Just because a relationship is statistically significant does not mean that it is important or meaningful in real-world terms. Additionally, statistical significance only tells us about the strength of the relationship between two variables, not about causation or directionality. Therefore, it is always important to interpret statistical significance in the broader context of the research question and study design.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

An inflationary gap occurs when the  SRAS curve and the AD curve intersect Right of the potential GDP line.

With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.

The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.

The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.

To know more about inflationary gap visit:

https://brainly.com/question/15073675

#SPJ4

Answer:

always true because the negative value of y is cancelld by - sign so it becomes x+|y|

examples: x=1, y=-1 then 1-(-1)>0

x=2, y=-5 then 2-(-5)>0

Answer:

C

Step-by-step explanation:

It is the only answer where the negative signs do not even out on both sides of the equation.

Answer:

3,5 or 5,3 i forget i think 5,3

Step-by-step explanation:

Answer:

(5,-3)

Step-by-step explanation:

Answer:

12.5%

Step-by-step Explanation:

==>Given:

Square A side length = 50% Square B side length

Area of Square A that is shaded = ½ of the area of Square B

==>Required:

Area of shaded region of Square A as a % of Area of Square B

==>Solution:

Let "b" be the side length of Square B

Let "a" be the side length of Square A

Since we are told that the side length of Square A (a) = 50% of side length of Square B (b), thus we have,

a = ½b

==>Let's find the area of Square A and Square B:

Area of a square = s², where s = side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

==>Let's find the area of the shaded region of the Square A = ½ of area of Square A.

Thus,

Area of shaded region of Square A = ½*(b²/4) = b²/8

==>Let's express the area of the shaded portion of square A as a percentage of are of Square B:

Thus, Area of shaded portion of Square A ÷ Area of Square B × 100%

\( = \frac{\frac{b^{2} }{8} }{b^{2} } * 100 \)

\( = \frac{b^{2} }{8} * \frac{1}{b^{2} } * 100 \)

\( = \frac{b^{2}*1 }{8*b^{2} } * 100 \)

\( = \frac{b^{2} }{8*b^{2} } * 100 \)

\( = \frac{1}{8} * 100 = 12.5 \)

The area of the shaded region of Square A is 12.5% of the area of Square B.

we need to find the sine of an angle in triangle AFGH. Since ZH = 90°, we can conclude that triangle AFGH is a right-angled triangle with angle H being the right angle. We are given the following side lengths: GF = 29, FH = 20, and HG = 21.

Now, let's identify which angle's sine value we need to find. The sine function relates to the ratio of the opposite side to the hypotenuse in a right-angled triangle. We can use the Pythagorean theorem (a² + b² = c²) to determine if GF is the hypotenuse of the triangle.

20² + 21² = 400 + 441 = 841

Since the square root of 841 is 29, which is the length of side GF, we can conclude that GF is the hypotenuse. Let's choose angle G as the angle we want to find the sine value for.

For angle G, the opposite side is HG (21), and the hypotenuse is GF (29). Therefore, we can find the sine of angle G using the following formula:

sin(G) = opposite side / hypotenuse
sin(G) = HG / GF
sin(G) = 21 / 29

Now, we need to find the value of sin(G) to the nearest hundredth:

sin(G) ≈ 0.72

So, the value of the sine of angle G to the nearest hundredth is approximately 0.72.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ11

To find the coefficient of the term with t^6 in the expansion of (x - 2)^12 without expanding the entire binomial, we can use the binomial theorem.

The binomial theorem states that the term at index k in the expansion of (a + b)^n can be calculated using the formula: C(n, k) * a^(n-k) * b^k. where C(n, k) represents the binomial coefficient, given by: C(n, k) = n! / (k! * (n - k)!). In this case, a = x and b = -2. We are interested in finding the term with t^6, so we need to find the k value that satisfies n - k = 6.

In the expansion of (x - 2)^12, the term with t^6 will have the following form: C(12, k) * x^(12-k) * (-2)^k. To find the k value that corresponds to t^6, we solve the equation n - k = 6: 12 - k = 6. Simplifying, we find: k = 12 - 6 = 6. Therefore, the term with t^6 in the expansion of (x - 2)^12 is given by: C(12, 6 ) * x^(12-6) * (-2)^6. C(12, 6) represents the binomial coefficient, which is calculated as: C(12, 6) = 12! / (6! * (12 - 6)!). Plugging in the values, we have: C(12, 6) = 924. Therefore, the term with t^6 in the expansion of (x - 2)^12 is: 924 * x^6 * (-2)^6. Simplifying further, we get: 924 * x^6 * 64. Finally, the simplified expression is: 59040 * x^6

To learn more about binomial theorem click here: brainly.com/question/30095070

#SPJ11

The exact values of the six trigonometric functions for the point (x, y) = (20, 21) are listed below:

sin θ = 21 / 29, cos θ = 20 / 29, tan θ = 21 / 20, cot θ = 20 / 21, sec θ = 29 / 20, csc θ = 29 / 21

Points in rectangular format are points of the form (x, y), where x and y represent the position of the point respect to the origin and along the respective orthogonal axis.

The line segment between the origin and that point represents the hypotenuse of a right triangle. Then, we can determine the six trigonometric functions by using the following formulae:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

If we know that x = 20 and y = 21, then the exact values of the trigonometric functions are:

sin θ = 21 / √(20² + 21²)

sin θ = 21 / 29

cos θ = 20 / √(20² + 21²)

cos θ = 20 / 29

tan θ = 21 / 20

cot θ = 20 / 21

sec θ = √(20² + 21²) / 20

sec θ = 29 / 20

csc θ = √(20² + 21²) / 21

csc θ = 29 / 21

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

Using expression x+283, Ricky had 1201 hits, and Pedro had 1484 hits.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and/or variables that represents a mathematical quantity or relationship. Expressions can be used to represent everything from simple arithmetic operations to more complex mathematical concepts like polynomials and trigonometric functions. In general, an expression can be thought of as a "recipe" for calculating a particular value, where the recipe includes specific values, operations to perform, and the order in which those operations should be performed. Some common types of expressions include algebraic expressions, numerical expressions, and functional expressions.

Now,

Let's assume that Ricky had x hits.

Then Pedro had x+283 hits.

Together, they got 2685 hits, so we can write an equation:

x + (x+283) = 2685

Combining like terms:

2x + 283 = 2685

Subtracting 283 from both sides:

2x = 2402

Dividing both sides by 2:

x = 1201

So Ricky had 1201 hits, and Pedro had 1484 hits.

To know more about expressions visit the link

brainly.com/question/13947055

#SPJ1