Convert 6 ounces into grams. Round your answer to the nearest whole
number.

Answer:

the first answer is 18, the second is -16, the third answer is 26, and the last is 24

Step-by-step explanation:

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

Answer:

1215

Step-by-step explanation:

Check the picture below.

\(tan(A)=\cfrac{\stackrel{opposite}{55}}{\underset{adjacent}{48}}\implies A=tan^{-1}\left( \cfrac{55}{48} \right)\implies A\approx 48.9^o \\\\\\ tan(B)=\cfrac{\stackrel{opposite}{48}}{\underset{adjacent}{55}}\implies B=tan^{-1}\left( \cfrac{48}{55} \right)\implies B\approx 41.1^o\)

Make sure your calculator is in Degree mode.

Answer:

(37,23)

Step-by-step explanation:

1. 11+x divide 2 = 24

x= 37

2. 25+y divide 2= 24

y= 23

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:

3(2.5 + x) = 24

7.5 + 3x = 24

x = 5.5 miles

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

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To find $(f+g)(x)$, we need to add the functions $f(x)$ and $g(x)$ together.

Given:

$$f(x) = 9^2 + 5x + 4$$

$$g(x) = -8x^2 - 3x - 4$$

To calculate $(f+g)(x)$, we add the corresponding terms of $f(x)$ and $g(x)$ together.

$$(f+g)(x) = f(x) + g(x) = (9^2 + 5x + 4) + (-8x^2 - 3x - 4)$$

Simplifying the expression further:

$$(f+g)(x) = 81 + 5x + 4 - 8x^2 - 3x - 4$$

Combining like terms:

$$(f+g)(x) = -8x^2 + 2x + 81$$

Therefore, $$(f+g)(x) = -8x^2 + 2x + 81$$.\(\)

Answer: Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.

570 = 75x + 65(x-2)

570 = 75x + 65x -130

700 = 140x

x = 5 hours

Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.

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Answer:

Step-by-step explanation:

Percent increase calculation

To calculate the percentage increase:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Answer:

1/2 cup blue

blahnik black gg fu lrjrhjrjrek

Answer:

bshdjrjrb

Step-by-step explanation:

abcdefghijklmnop

Answer:

-0.9

Step-by-step explanation

Trust <3

Solution:

Given:

From the graph, the x-intercept exists at (0,0) and (6,0).

The maximum value is (3,120).

The x-intercept represents the break-even points. The company was not in profit or loss when no pen was sold and when 6 pens were sold, the profit was $0 at these two points.

The maximum value of the graph represents the maximum profit made by the company. The company made a maximum profit of $120 when 3 pens were sold.

The interval where the function is increasing is from negative infinity to x = 3. This shows that the more pen sold, the higher the profit made.

The interval where the function is decreasing is from x = 3 to positive infinity. This shows that the less pen sold, the lower the profit made.

The approximate average rate of change of the graph from x = 3 to x = 5 is;

The rate represents a decrease of $30 for every pen sold across the decreasing interval.

Answer:

4x^2

Step-by-step explanation

It is a straightforward application of the pigeonhole principle to demonstrate that there must be at least one duplication in nums. Here, each possible number in nums is a "pigeon," and each specific place where a pigeon can occur is a "pigeonhole."

How to determine whether there is at least one duplicate number in Nums:

Simple Method: The goal is to use nested loops and determine whether or not each element appears in the array more than once for each element.

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Answer: \(\Large\boxed{y-1=\frac{4}{5} (x+2)}\)

Step-by-step explanation:

Given the requirement for function

Point-slope form : y - y₁ = m (x - x₁)

Given information

m = 4/5

Point = (x₁, y₁) = (-2, 1)

Substitute values into the function form

y - y₁ = m (x - x₁)

y - (1) = (4/5) (x - (-2))

Simplify the function

\(\Large\boxed{y-1=\frac{4}{5} (x+2)}\)

Hope this helps!! :)

Please let me know if you have any questions

Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

Using the formula for arc length, it is possible to determine the length of an arc that contains a circle by providing the radius and the central angle.

AL = ∅/360 × 2πr

Considering that the new area is a quarter circle in shape, then ∅ = 90°.

Raidus (r) = 70 ft

The distance between the point of departure to the place of departure again= arc length.

Al = ∅/360 × 2πr =  90/360 × 2π(70)

Al =  109.9 feet

In conclusion, According to the hypothesis, the distance from the point of departure to the point of arrival is equal to the length of the arc, which is equal to 109.9 feet.

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CQ

The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle: A sector showing a quarter of a circle is drawn. The radius is marked as 70 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle. Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet? 439.6 feet 3846.5 feet 109.9 feet 1758.4 feet

The sum of the first 500 natural numbers is 62,625.

We are required to calculate the sum of the first 500 natural numbers.

The general formula for the sum of n terms in an arithmetic series is:S = n/2[2a+(n−1)d] wherea is the first termn is the number of terms

d is the common difference

First, let's identify the first term (a), common difference (d), and the number of terms (n).a = 1d = 1n = 500

Using the formula,S = n/2[2a+(n−1)d]S = 500/2[2(1)+(500−1)1]S = 250[2+499]S = 125(501)S = 62,625

Therefore, the sum of the first 500 natural numbers is 62,625.

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yes it is normal because the tallest man in the world is like 8 feet and 75 inches would be 6 feet and something

Answer:

Q1: Without choices I would give it a 20 in 100 chance

Q2: Yes

Step-by-step explanation:

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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The sun would more frequently be reaching the ground at a high angle at latitude 0° (the equator). Option A is correct.

What is latitude?

Latitude is the angle north or south of the equator and extends horizontally over the globe. Longitude, on the other hand, runs from east to east and runs vertically across the globe.

On any given day, only points on Earth's surface that are located along a single line of latitude can experience sunlight at a 90-degree angle. Lower levels of sunshine are present everywhere else. The sun's beams are typically strongest at the equator and weakest at the poles.

Option A is correct,0° (the equator).

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The points on the ellipse 5x² + y² = 5 that are farthest away from (1, 0) are (-0.25, ±√4.6875).

The square of the distance from a point on the ellipse to the point (1, 0) is ...

 d^2 = (x -1)^2 +y^2

Using the equation of the ellipse to write an expression for y^2, we have ...

 d^2 = (x -1)^2 +5 -5x^2

 d^2 = -4x^2 -2x +6

The expression on the right is that of a downward-opening parabola with ...

 a = -4, b = -2, c = 6

The maximum is located at ...

 x = -b/(2a) = -(-2)/(2(-4)) = -1/4

The value of y there is ...

 y^2 = 5 -5(-1/4)^2 = 4 11/16

 y = √4.6875

Hence the points on the ellipse farthest from (1, 0) are (-0.25,±√4.6875).

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The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

-7z+12b-4c or 12b-4c-7c

Answer:

(-6,6)

Step-by-step explanation:

since 0 is on the x axis if you move it 6 units to the left it becomes negative, since your not moving anything on the y axis it stays the same.