Explain the strategies and innovations Henry Ford used to produce his products faster and cheaper while also improving workers' conditions

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

5x^4+9x^3+6x^2+x

Step-by-step explanation:

Answer:

Step-by-step explanation:

= \(\sqrt{2}\) * \(\sqrt{10}\) / \(\sqrt{5}\)

= 2\(\sqrt{5}\) / \(\sqrt{5}\)

The square root of 5 will be cancel then

= 2

Answer:

two solutions

Step-by-step explanation:

Any quadratic equation will always have two solutions.

Hope this helps!

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

Step-by-step explanation:

Given the system of equations:

2x + 3y = 15

X + 3y = 0

What is x?

2x + 3y = 15

X + 3y = 0         subtract the bottom equation fron the top one

2x - x + 3y - 3y = 15 - 0        see how the 3y - 3y equates to zero

  2x - x  = 15

        x  =  15        Now for  extra credit what is y?  

                                  X + 3y = 0

                                 15 + 3y = 0

                                 15 - 15 + 3y = 0 - 15

                                          3y = -15

                                        3y/3 = -15/3

                                           y  =  -5

-15

-5

0

5

15​

Without the specific per capita revenue value for Ohio, we cannot determine the amount of taxes collected per capita.

To determine how much Ohio collected in taxes per capita, we need to use the given information from the table. However, since you have not provided the specific values for per capital revenues and expenditures for Ohio, we cannot make an accurate calculation.

To calculate the per capita taxes collected by Ohio, we would need the per capita revenue and expenditure values specifically for Ohio. These values are necessary to subtract the expenditures from the revenues in order to determine the amount collected in taxes per capita.

Without the specific data for Ohio's per capita revenues and expenditures, we cannot provide an accurate answer regarding the amount of taxes collected per capita. It is essential to have the precise values from the table to make the calculation.

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The required exterior angle is 60°.

The exterior angle that results from the creation of a triangle side is equal to the product of the two opposite internal angles.

The given angles are (z + 10)°, 4z° and  (z + 50)°.

Since, (z+50)° is the exterior angle of the angle (z + 10)° and 4z°.

Therefore, by exterior angle property,

(z + 10) + 4z = z + 50

5z + 10 = z + 50

4z = 40

z = 10

The measurement of exterior angle = z + 50 = 10 + 50 = 60

The exterior angle of the given figure is 60°

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Answer:

  It isn't.

  The correct relation is 4r·Area = abc.

Step-by-step explanation:

You want to show the relation between the product of triangle side lengths and the product of the triangle area and the radius of the circumcircle.

The area of the triangle in the attached diagram can be found by ...

  Area = 1/2(bc)sin(α)

The inscribed angle theorem tells you the measure of the arc subtended by an inscribed angle is twice the measure of the inscribed angle. That means the opposite chord will be twice the length of the product of the radius and the inscribed angle value:

  a = 2r·sin(α)

The product of the circumradius and the area of the triangle is ...

  r·Area = r·(1/2)(bc)sin(α) = 1/4(bc)(2r·sin(α)) = 1/4abc

Without the fractions, the relation is ...

  4r·Area = abc

__

Additional comment

As a simple example, consider a 3-4-5 right triangle. The area of the triangle is ...

  A = 1/2(3)(4) = 6

The circumradius is half the length of the hypotenuse, r = 5/2.

The relation of interest is ...

  4r·Area = abc

  4(5/2)(6) = 3·4·5

  60 = 60 . . . . . . . . . . as expected

This could be a very simple way to find the circumradius of a triangle.

Answer:

63 and 17 differ by 46

Answer:

Graph C. Hope this is correct!!!

Step-by-step explanation:

Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.

This is what my teacher sent me.

Answer:

answer is c

Step-by-step explanation:

Answer:

option C is the correct answer.

(x-3) is the not a factor of x⁴+5x³+5x²-5x-6.

Answer:

SA = 384 in²

Step-by-step explanation:

Assuming we're finding surface area:

SA of top of large cube: 8(8) - 4(4) = 48 in²

SA of sides of large cube: 4(8)(8) = 256 in²

SA of exposed faces of small cube: 5(4)(4) = 80 in²

Total = 48 + 256 + 80 = 384 = ∑SA

$2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

Let x be the amount invested at 2% and y be the amount invested at 3%. We know that x + y = $5000 and the interest earned is $129. We can use the formula for simple interest, I = Prt, where I is the interest earned, P is the principal (or initial amount invested), r is the interest rate, and t is the time period.

Thus, we have:

0.02x + 0.03y = $129 (1)

x + y = $5000 (2)

We can solve for one of the variables in terms of the other from equation (2), such as y = $5000 - x. Substituting this into equation (1), we get:

0.02x + 0.03($5000 - x) = $129

Simplifying and solving for x, we get:

0.02x + $150 - 0.03x = $129

-0.01x = -$21

x = $2100

Therefore, $2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

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Answer:

6.85 ounces

Step-by-step explanation:

13.7/2people=6.85

Answer:

6 hours

Explanation:

Ratio: 1:10

1:10

2:20

3:30

4:40

5:50

?:60

? = 6

Hope this helps!! ♥︎~

The length of ND = 3 units

The length of N'D' = 6

6 / 3 = 2

The scale factor is 2

Answer:  A) 2

Step-by-step explanation:

The shape has been enlarge which means B and D are  ruled out because if a shape gets enlarge its scale factor has to be greater than 1.

We will use the coordinate of the image of D  to find the scale factor.

Pre-image:  (2,2)   Enlarge or image: (4,4)    

So as we can see to get from 2 to 4 you will have to multiply by 2. So the scale factor is  2

Answer:

We can divide both the top and bottom parts by 9 to find that 0.454545… = 45/99 = 5/11 .

Answer:

By using the pythsgorean theorem! simple

Answer:\(\sqrt{155}\)

Step-by-step explanation:

Oh god pythagorean triples got thrown out the window for this one. This will be a bit ugly.

First, we find the other side length of the rectangle using the pythagorean theorem.

Then, we use that side length in ANOTHER pythagorean theorem to get our answer.

Well, we know that the side length is \(\sqrt{5^{2}+9^{2} }\)

We'll use whatever that number is, let's call it x for now, in our other expression:

\(\sqrt{x^{2}+7^{2}}\)

So we can do this in one clean equation by substituting our first equation as x in the second one.

Or do them separately. Your choice.

Anyways, try to solve this one now that you know what to do. If you need more help then message.

Answer:

Hello! answer: 100

Step-by-step explanation:

25 + 55 = 80 180 - 80 = 109 therefore the answer is 100 HOPE THAT HELPS!

Answer:

B

Step-by-step explanation:

25 + 55 = 80 and 180 is for the total so it would be 100 degrees

80 = 100 = 180

Answer:

96%

Step-by-step explanation:

48 ÷ 50 × 100

The volume of the right circular cone is approximately 1.6 cubic centimeters (rounding this answer to the nearest tenth of a cubic centimeter).

What is volume ?

Volume is a physical quantity that measures the amount of three-dimensional space that a substance or object occupies.

The volume of a right circular cone is given by the formula

\(V = (1/3)\pi r^2h\) , where r is the radius of the base and h is the height of the cone. We are given the height of the cone, which is 14.9 cm. To find the radius of the base, we need to use the given circumference of the base, which is 2.9 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for r, which gives us r = C/(2π). Plugging in the given circumference of 2.9 cm, we get:

r = 2.9/(2π) ≈ 0.461

Now, we can substitute the values of r and h into the formula for the volume of a cone and solve for V:

V = (1/3)π(\(0.461^2\))(14.9) ≈ 1.564 \(cm^3\)

Rounding this answer to the nearest tenth of a cubic centimeter gives us a final volume of approximately \(1.6 cm^3\). Therefore, the volume of the right circular cone is approximately 1.6 cubic centimeters.

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Answer:

Step-by-step explanation:

-4 \(\leq\) x \(\leq\) 6

x = {-4,-3,-2,-1,0,1,2,3,4,5,6}

Hope I helped...

The relationship between the correlation coefficient, that is r and the closeness of the points on a scatter plot to the regression line or the coefficient of correlation is the measure of closeness of association.

Correlation coefficient

Correlation coefficient is a statistical measure of how much a change in the value of one variable predicts a change in the value of another variable. For variables with positive correlation, the values ​​increase or decrease together.

Scatter Plot:

A scatterplot (also called a scatterplot or scatterplot) uses points to plot the values ​​of two different numeric variables. The position of each point on the horizontal and vertical axes represents the value of one data point. Scatter plots are used to observe relationships between variables.

Measure of closeness of Association:

In statistics, any of several factors or coefficients used to quantify the relationship between two or more variables. Measures of association include Pearson's correlation coefficient, Spearman's rank correlation coefficient, and the chi-square test. Association measures are used in a variety of research fields, but they are most widely used in the fields of epidemiology and psychology, where they are often used to quantify the relationship between exposure and disease or behavior. Measures of association can be determined by any of several different analyzes, including correlation analysis and regression analysis. (The terms correlation and association are often used interchangeably, but in the narrower sense correlation refers to linear correlation and association for any relationship between variables.) Used to determine strength of association.

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Answer:

Note that both the x and y coordinates are multiplied by the SAME value, k. Given ΔDEF with center of dilation the origin (0,0) and scale factor of 2, plot ΔD'E'F'. As shown in the formula above, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinator

The expression 3.49c + 2.99m represents the total cost of both the marker and crayons.

One box of crayon = $3.49

One box of markers = $2.99

The number of boxes of crayons bought by the teacher = c

The number of boxes of markers bought by the teacher = m

3.49c and 2.99m represent the amount the teacher spent on both crayons and markers.

Therefore, the addition of 3.49c + 2.99m gives the total cost of both the marker and crayons.

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By simplifying the fraction 10/28 ÷ 32/49 exists 35/64.

The first stage of dividing fractions exists to estimate the reciprocal (reverse the numerator and denominator) of the second fraction. Subsequently, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if required.

To find the reciprocal of the divisor

Reciprocal of 32/49 = 49/32

Now, multiply it by the dividend, then we get

So, 1028 ÷ 3249 = 10/28 × 49/32

= (10 × 49)/(28 × 32) = 490/896

After decreasing the fraction, the answer exists at 35/64.

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