In a certain​ chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it​ contain?

Answer:

C

Step-by-step explanation:

Let's say that point G is the origin, (0,0). Then, the coordinates of point R would be (-3, -5). Rotating the point 90° counter-clockwise would result in the final coordinates being (5, -3), therefore the answer is C.

Management by objectives (MBO) is a management system that incorporates goal setting as its central principle.

It emphasizes the establishment of clear, measurable objectives for individuals and teams within an organization, aligning their efforts with overall organizational goals and strategies. MBO provides a framework for performance management and evaluation, allowing managers and employees to work together to define objectives, set targets, and track progress towards achieving those goals.

The goal-setting aspect of MBO is supported by various theories and principles. Firstly, the concept of goal setting itself is a fundamental component of MBO. It is based on the idea that setting specific, challenging, and attainable goals can motivate individuals and enhance performance. The expectancy theory comes into play as well, as MBO assumes that individuals are motivated to achieve their goals when they believe that their efforts will lead to successful performance and desired central outcomes.

Additionally, cognitive dissonance theory suggests that MBO can help reduce cognitive dissonance by providing individuals with clear objectives and performance expectations, minimizing conflicts between their attitudes and behaviors. While hedonism and equity theory are not directly incorporated into MBO, they may indirectly influence individuals' motivation and satisfaction as they work towards their objectives within the MBO framework.

In summary, Management by Objectives (MBO) is a management system that revolves around goal setting. It incorporates various theories and principles such as goal setting theory, expectancy theory, and cognitive dissonance theory. By setting clear objectives, aligning efforts, and tracking progress, MBO provides a structured approach to performance management and encourages individuals and teams to work towards achieving organizational goals.

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Answer:

do R-P-R-S-P-P-R-P

Step-by-step explanation:

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

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Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

Its not must that 3x have to be the one to be subtracted. You could take 8x as well.

But always subtract from the smaller one (in this case 3x) because its easier.

If you are subtracting 3x-3x and 8x-3x, the equation would be like

4 = 5x - 16

5x = 4+16

5x = 20

x = 4

total area of figure shown in diagram  is  40 in² .this can be solved by using area formula and adding two rectangle .

what is adding ?

Adding is a mathematical operation that involves combining two or more numbers to get a total or sum. In simple terms, adding means putting two or more quantities together to find the total or the result of combining those quantities.

In the given question,

the diagram can be divided into 2 rectangle parts  

so area of first rectangle part is  A₁= b*h

A₁=4*6 =24 in

so area of second rectangle part is  A₂= b*h

A₁=2*8 =16 in

so total area is  A₁+ A₂

A= 24+16=40 in²

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Answer:

It is 16

Step-by-step explanation:

[(10-3)^2 + 15]/4

[(7)^2 + 15]/4

[49+15]/4

[64]/4

= 16

The factor of ax²-49 is 1

Factoring an expression means writing a numerical or algebraic expression as a product of factors. To factor expressions, we can make use of the distributive property.

For example 2x +6 ha s a factor of 3, i.e 3(x+6)

In the expression ax²-49 , since there is no other r common factor , the factor of the expression will be 1.

i.e 1(ax²-49) = ax²-49

Therefore the factor of the expression ax²-49 is 1

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Answer:

B. 10

Step-by-step explanation:

Look at the chart.

Find how many members are 50-60 inches tall. (6)

Find how many members are 61-70 inches tall. (4)

Add each member count up. (10)

As the sample size increases, the variability among the sample means decreases, option A.

The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population. Sampling is the practise of choosing a portion of the population from which to draw conclusions about the characteristics of the entire population. A subset of a population is chosen for study based on the number of entities in it.

Population data is a sizable collection of information that covers the whole population under investigation. All the components that are investigated for the research make up a population.

Yet, sample data is a component of the population. Generally, computing the entire population is rather cumbersome and challenging. In this instance, a representative sample of the population is chosen. Sample data refers to this sample.

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Answer:

The horizontal distance between the two x-intercepts is 7 units.

Step-by-step explanation:

The x-intercepts are the points at which the graph of a function or equation crosses the x-axis.  At these points, the value of y is zero.

Therefore, to find the x-intercepts of the given expression, set the expression equal to zero and solve for x:

(x - 3)(x + 4) = 0

This equation is true if and only if either x - 3 = 0 or x + 4 = 0, which means the x-intercepts are at x = 3 and x = -4.

The horizontal distance between these two points is the absolute value of the difference between the x-coordinates of the x-intercepts:

|3 - (-4)| = |3 + 4| = 7

Therefore, the horizontal distance between the two x-intercepts is 7 units.

The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Let's assume all blocks that exist in shape are square with dimension units or one.

Now the area of the square is given as ;

A = Side² = 1² = 1

Since the number of squares in 20 is 5

So,

A = 5 unit²

The number of squares in 21 is also 5

So,

A = 5 unit²

Now,

The perimeter of the square as given;

P = 4× side

Since side in 20 are 16 so 16 units.

The side in 21 is 15 so 15 units.

Hence "The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units".

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Answer:

B. a+7

Step-by-step explanation:

B is the answer because it say older than which hints that you have to use subtraction. More than is commonly used to show that it is subtraction.

17  is the value of discriminant for quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                               The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

The given Quadratic equation is

√2x² - 5x + √2 = 0

Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get

a = √2 , b = - 5 , c = √2

Value of Discriminant

      = b² - 4ac

      = (-5)² - 4 * √2 * √2

       = 25 - 8

       = 17      

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer: 3/6 or 1/2

Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.

Answer:

1/2 cups of strawberries is required.

Step-by-step explanation:

1 pie = 1/6 cups of strawberries

=> 3 pies = 1/6 x 3

=> 3 pies = 1/2 cups of strawberries.

Hoped this helped.

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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The term that is used to describe a situation where two variables are correlated but there is no apparent connection between them is "spurious correlation."

Spurious correlation refers to a situation where two variables appear to be correlated or associated, but in reality, there is no actual causal relationship or meaningful connection between them. This can happen due to various reasons, such as coincidence, sampling errors, or confounding variables that are not accounted for in the analysis.

In other words, the observed correlation between the variables is merely coincidental or occurs by chance, and there is no true underlying relationship between them. It is important to be cautious when interpreting correlations, as spurious correlations can lead to incorrect or misleading conclusions.

Therefore, the correct term used for this phenomenon is "spurious correlation."

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Identity properties of addition are known to commutative in nature.

Given A and B, A and B are commutative or possess identity property of addition if;

A+B = B+A

For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a

The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;

8+0 = 0+8 = 8 (identity property of addition)

Answer: True.

Step-by-step explanation:

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

Answer:

1.32 * 10^2

Step-by-step explanation:

Given the expression;

(5×10−3)+(6×10−3)2.2×10^4

First we need to do the multiplication first;

= (5×10−3)+(13.2×10−3+4)

= (5×10−3)+(13.2×10^1)

= 0.005 + 132

= 132.005

= 1.32 * 10^2

Hence the equivalent expression is 1.32.0 * 10^2

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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The equivalent expression for the given expression is \((\frac{2}{3} )^{14}\). Therefore, option C is the correct answer.

The given expression is \(((\frac{2}{3} )^{4}\times(\frac{2}{3} )^{3})^{2}\).

We need to find the equivalent expression for the given expression.

Equivalent expressions are expressions that work the same even when they seem different. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Now, \(((\frac{2}{3} )^{4}\times(\frac{2}{3} )^{3})^{2}\) using \(a^{m} \times a^{n}=a^{m+n}\).

We get, \(((\frac{2}{3} )^{4+3})^{2}=((\frac{2}{3} )^{7})^{2}\)

Using the exponents rule \((a^{m} )^{n}=a^{m\times n}\)

=\(=(\frac{2}{3} )^{7\times 2}=(\frac{2}{3} )^{14}\)

The equivalent expression for the given expression is \((\frac{2}{3} )^{14}\). Therefore, option C is the correct answer.

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Reducing the variation of a process will increase the width of a given confidence interval relative to that process.

Option C is correct .

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as a confidence interval. By employing the dimensions of values used in the computation of the intervals, it is simple to establish the link between components of two confidence intervals. The width is a fundamental component in these range estimates, which are affected by sample size, etc.

Hence, reducing the variation of a process will increase the width of a given confidence interval relative to that process is false.

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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The equation of the line is y = -(3/4)x - 6.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through the points (-4,-3) and has a slope of -3/4.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,

y - (-3) = -3/4 (x - (-4))

y + 3 = -3/4 (x + 4)

y = -(3/4)x -3 -3

y = -(3/4)x - 6

Hence, the equation of the line is y = -(3/4)x - 6.

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