need to solve by hand1.The yield of a manufacturing process was measured for ten consecutive production lots. The results (in fractional form) are summarized in the table at right. Compute the following sampl

-3/2

Step-by-step explanation:

five less than a number = x-5

one more than three times the number= 3x+1

x-5=3x+1

-5-1=3x+x

-6=4x

-6/4=4x/4

x=-3/2

Hi, there.

  _____

\(\boxed{\\\begin{minipage}{7cm} "five less than a number" n-5\\"is equivalent to" =\\"one more than 3 times the number" 3n+1\\Putting the parts together,\\ \textbf{n-5=3n+1.\\}\\ Now solve for \textbf{n}.\\Subtract 3n from both sides:\\\textbf{-2n-5=1}\\Now Add 5 to both sides.\\ \bold{-2n=6}\\Divide both sides by \bf{-2}.\\\boxed{n=-3}\end{minipage}}\)

Hope the answer - and explanation - made sense,

happy studying!!

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

For the equilibrium system of Ni(H2O)6(aq) + 6NH3(aq) + HCl, adding more HCl will shift the equilibrium to the right, resulting in more Ni(NH3)2(aq) and H2O(l) being formed.

For the equilibrium system of Cu(H2O)4(aq) + 4Br-(aq) + heat, adding more heat (or increasing temperature) will shift the equilibrium to the left, resulting in less CuBr2(aq) and H2O(l) being formed.

For the equilibrium system of SO3(g) + 120(g) ↔ SO2(g) + O2(g), removing heat (or decreasing temperature) will shift the equilibrium to the right, resulting in more SO2(g) and O2(g) being formed.

For the equilibrium system of Ag2CO3(s) + 2Ag+(aq) + CO32-(aq), adding HCl(aq) will shift the equilibrium to the left, resulting in less Ag2CO3(s) and more Ag+(aq) and CO32-(aq) being formed.

For the equilibrium system of CaCO3(s) ↔ Ca2+(aq) + CO32-(aq), adding rainwater (which is typically slightly acidic) will shift the equilibrium to the left, resulting in less Ca2+(aq) and CO32-(aq) and more CaCO3(s) being formed.

For the equilibrium system of CH3COOH(aq) ↔ CH3COO-(aq) + H+(aq), adding CH3COONa(aq) will shift the equilibrium to the left, resulting in less CH3COO-(aq) and more CH3COOH(aq) being formed

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Answer: x=y/(12-5c)

Step-by-step explanation:

To solve for x, we need to use algebraic properties.

We notice that each term on teh right side contains an x. We can factor out an x.

y=12x-5cx                      [factor out x]

y=x(12-5c)                      [divide both sides by 12-5c]

x=y/(12-5c)

See the attached picture:

Answer:

b

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

6.50 per mile

Step-by-step explanation:

Answer:

i. <DCB = \(53.13^{o}\)

ii. Sin of <DCB = 0.8

Step-by-step explanation:

Let <DCB be represented by θ, so that;

Sin θ = \(\frac{opposite}{hypotenuse}\)

Thus from the given diagram, we have;

Sin θ = \(\frac{4}{5}\)

        = 0.8

This implies that,

θ = \(Sin^{-1}\) 0.8

   = 53.1301

θ = \(53.13^{o}\)

Therefore, <DCB = \(53.13^{o}\).

So that,

Sin of <DCB = Sin \(53.13^{o}\)

                    = 0.8

Sin of <DCB = 0.8

Answer:

Ángulo agudo

Es cualquier ángulo que mida más de 0 grados pero menos de 90 grados. Un ángulo agudo cae en algún lugar entre inexistente y un ángulo recto.

Acute angle

It's any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle.

The value of variable 'a' is 2.5.

The code initializes an integer variable 'x' with a value of 10 and a double variable 'z' with a value of 4.0. Then, it calculates the division of 'x' by 'z' and assigns the result to variable 'a'. Since 'x' is an integer and 'z' is a double, the division operation performs implicit type conversion, resulting in a double division.

Therefore, the value of 'a' becomes 2.5, which is the quotient of 10 divided by 4.0.

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Answer:

0.28 meters per second.

Step-by-step explanation:

We have that the speed formula is as follows:

v = d / t

In this case they tell us that the distance is 2 km the equivalent of 2000 meters and the time is 2 hours the equivalent of 7200 seconds, we replace and we are left with:

v = 2000/7200 = 0.28

Therefore it ran 0.28 meters per second.

Answer:

1.25x

Step-by-step explanation:

Given that :

25% Increase in number of blog views can be expressed as (x + 0.25x)

Another way to make this representation is :

Total number of blog views + 25% of total

Total should add up to 100%

Let number of views = x

Hence,

(100% + 25%) of x

125% of x

125%x

= 1.25x

The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

The solution is,  Descartes buys the most fruit. Newton buys the least fruit.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Newton buys 10 pounds of fruit.

Descartes buys 1 1/4 times more fruit than Newton.

i.e. Descartes buys = 10+ 10*5/4

                               =45/2

You buy 9/10 as much fruit as Newton

i.e. I buy = 10+ 9/10

              = 109/10

so, 45/2 > 109/10 > 10

Hence, The solution is,  Descartes buys the most fruit. Newton buys the least fruit.

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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(a) Next three terms: 54, 162, 486.

(b) Next three terms: 108, 81, 60.75.

(c) Next three terms: -108, 648, -3888.

(a) For the geometric sequence 2, 6, 18, ...

To find the common ratio (r), we divide any term by its previous term.

r = 18 / 6 = 3

Next three terms:

a₄ = 18 * 3 = 54

a₅ = 54 * 3 = 162

a₆ = 162 * 3 = 486

Therefore, the next three terms are 54, 162, and 486.

(b) For the geometric sequence 256, 192, 144, ...

To find the common ratio (r), we divide any term by its previous term.

r = 144 / 192 = 0.75

Next three terms:

a₄ = 144 * 0.75 = 108

a₅ = 108 * 0.75 = 81

a₆ = 81 * 0.75 = 60.75

Therefore, the next three terms are 108, 81, and 60.75.

(c) For the geometric sequence 0.5, -3, 18, ...

To find the common ratio (r), we divide any term by its previous term.

r = -3 / 0.5 = -6

Next three terms:

a₄ = 18 * -6 = -108

a₅ = -108 * -6 = 648

a₆ = 648 * -6 = -3888

Therefore, the next three terms are -108, 648, and -3888.

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a. The next three terms in the geometric  sequence are: 54, 162, 486.

b. The next three terms in the sequence are: 192, 256, 341.33 (approximately).

c. The next three terms in the sequence are: -108, 648, -3888.

(a) Geometric sequence: 2, 6, 18, ...

To find the next three terms, we need to multiply each term by the common ratio, r.

Common ratio (r) = (6 / 2) = 3

Next term (a4) = 18 * 3 = 54

Next term (a5) = 54 * 3 = 162

Next term (a6) = 162 * 3 = 486

(b) Geometric sequence: 256, 192, 144, ...

To find the next three terms, we need to divide each term by the common ratio, r.

Common ratio (r) = (192 / 256) = 0.75

Next term (a4) = 144 / 0.75 = 192

Next term (a5) = 192 / 0.75 = 256

Next term (a6) = 256 / 0.75 = 341.33 (approximately)

(c) Geometric sequence: 0.5, -3, 18, ...

To find the next three terms, we need to multiply each term by the common ratio, r.

Common ratio (r) = (-3 / 0.5) = -6

Next term (a4) = 18 * (-6) = -108

Next term (a5) = -108 * (-6) = 648

Next term (a6) = 648 * (-6) = -3888

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A graph which does not represent a proportional relationship is: graph B.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from or  the passing through origin (0, 0) and it passes through other unique data points on the cartesian coordinate.

By critically observing the given graphs, we can logically deduce that graph B does not represent a proportional relationship as it does not pass through the origin (0, 0).

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We have the following:

Multiplication is the product between two numbers, it is the number of times the number to be multiplied is repeated. In this case, it would be 1 time 1

The answer is 1

This is an example of first mover advantage.

First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.

This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.

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Answer:

Step-by-step explanation:

Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in

Only one possible triangle can be formed. This is because there is enough information to apply the Law of Sines to determine the missing side or angle uniquely.

In a triangle, the sum of the measures of two sides must be greater than the measure of the third side. Using the given measurements, we can see that

r + s = 31 + 16 = 47,

which is greater than the third side, t. Therefore, a triangle can be formed.

Additionally, since we know the measure of one angle (angle mS), we can use the Law of Sines to solve for the other two angles and the remaining side. After solving, we find that there is only one possible triangle that can be formed.

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Answer:20 girls

Step-by-step explanation:the difference between 3 and 4 is one so there will be a difference of one between the 2 questions.

Answer:

-1 and 6

Step-by-step explanation:

We can use trial and improvement for this

Pairs of numbers that have a sum of 5:

2, 3 = 6

1, 4 = 4

0, 5 = 0

-1, 6 = -6

-2, 7 = -14

-3, 8 = -24

-4, 9 = -36

-5, 10 = -50

-1 and 6 have a sum of 5 and a product of -6

The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.

Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.

The Total amount that was spent will be:

= Amount spent on video games + Amount on DVD

= (5 × $3.30) + (4 × $3.80)

= $16.50 + $15.20

= $31.70

The amount is $31.70.

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A line has an interval of measurable distance between pre-established points. It can be limited or shallow or extended or deep in design.

A line is a geometric object that extends infinitely in both directions and has an interval of measurable distance between two pre-established points. It can be characterized by its length, which can vary from being limited or shallow to being extended or deep in design.

A line serves as the foundation of geometry, representing the most basic element of spatial measurement and direction. It provides a framework for measuring and comparing distances, angles, and shapes, and plays a fundamental role in various mathematical and scientific disciplines, as well as practical applications in architecture, engineering, and design.

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Answer:

Step-by-step explanation:

The centroid is the intercession of medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

BE is the median and point G is 2/3 of the distance from E:

Then BG is:

The answer is BG = 7, GE = 14

Answer:

the answer is BG=7,GE=14

Answer:

144 cm^2

Step-by-step explanation:

A square has equal sides, and so if one side is 12 cm, so are the rest.

So 12 * 12 = 144.

Answer:

c

Step-by-step explanation:

The number of fish in the river last season is 53795.74 fishes.

Word problems in mathematics involves the use of mathematical operations to solve real-life cases.

Let assume that the number of fish in the Colorado River in last season is (x)

If the number of the fish increased by 47%, then the amount of the fish in the river will be:

Now, in the current year, the number of fish in the river = 25284 fish

What we are expected to do is to equate the number of fish in the last season with the number of fish in the current season.

By doing so, we have:

Making (x) the subject of the formula, we have:

x = 25284/0.47

x = 53795.74 fishes

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