a bottling machine makes 60 bottles in 5 hours . How many bottles did
it make in 3 hours

The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:

We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB

In conclusion, the length AB = 19.55m

Answer:

Z=49

Step-by-step explanation:

I'm not sure about the second one though

Answer:

36 ft

Step-by-step explanation:

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

Point c is the midpoint of ab and point b is between points a and d. If ad=17 and bd=9 , then cd = 13.

In the given question,

Point c is the midpoint of ab and point b is between points a and d.

If ad=17 and bd=9

We have to find the value of cd.

ac = cb

ad = 17

bd = 9

ad = ab+bd

17 = ab+9

Subtract 9 on both side, we get

ab = 8

cb = ab/2

cb = 8/2

cb = 4

Hence, cd = cb + bd

cd = 4+9

cd = 13

Hence, the value of cd is 13.

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Answer: x = -1,  y = 7

Step-by-step explanation:

4 *(y - x = 8)  --> 4y - 4x = 32

-2y + 4x = -6 --> -2y + 4x = -6

if we subtract the derived equations from each other we find a new equation which is: 4y + 2y =  42

From this, we find that y = 7

and when we put the y-value in one of the original equations we find that x is -1:

7 - x = 8

x = -1

I hope it helped!                        

Using the alternate exterior angles theorem, the value of x is: 127°.

When two parallel lines are intersected by a transversal to form alternate exterior angles that lie outside on each of the parallel lines, the alternate exterior angles theorem states that both angles are equal or congruent to each other.

From the diagram given, we are told that line m is parallel to line n.  transversal t crosses both lines  and n. The angles, x and 127 degrees are alternate exterior angles that lie on each parallel lines.

Therefore, the alternate exterior angles theorem states that, both angles would be equal.

Thus, we can conclude that, x = 127°.

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The graph of the given inequality, 8y ≤ 12x , is shown below

From the question, we are to graph the given inequality

The given inequality is

8y is less than or equal to 12x

That is,

8y ≤ 12x

To graph the inequality, we will determine some of the points of on the line 8y = 12x

When x = 2

8y = 12x

8y = 12(2)

8y = 24

y = 24/8

y = 3

(2, 3)

When x = 4

8y = 12x

8y = 12(4)

8y = 48

y = 48/8

y = 6

(4, 6)

Using the points above, the graph of the inequality is shown below. Since the sign is less than or equal to, ≤, the line is a solid line and the solution is below the line

Hence, the graph of the given inequality, 8y ≤ 12x , is shown below

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Answer:

You keep divinding it by 2 until you can no longer divide

By applying Pythagoras' theorem, the length of x is equal to 10 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle, we have the following equation:

x² = y² + z²

x² = 8² + 6²

x² = 64 + 36

x = √100

x = 10 units.

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The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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Spike-and-slab regression is a method used to model the relationship between a response variable and a set of predictor variables, and nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity.

Spike-and-slab regression is a statistical method used to model the relationship between a response variable and a set of predictor variables, where the predictor variables are partitioned into two groups: a set of important predictors (spikes) and a set of unimportant predictors (slabs). Nonlinear constraints can be applied to the model to specify relationships between the predictor variables, such as monotonicity or convexity. These constraints can be used to enforce prior knowledge or assumptions about the relationships between the predictor variables, and can help to improve the accuracy and interpretability of the model. Examples of nonlinear constraints that can be used in spike-and-slab regression include the convexity constraint and the total variation penalty.

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Answer:

x^3 + 6x^2 -7x -60

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

4xy-2yz+2zx

-2xy-2yz+2zx

=-2xy-4yz+2zx

do you get it?

Answer:A

Step-by-step explanation:

let'sAnswer:

P ≈ 102.83 cm

Step-by-step explanation:

The window is practically a semi-circle. The formula for the perimeter of a semi-circle is πr + d.

*Remember that d (diameter) = 2 · r (radius)

Let's plug in everything that we know into the formula!

r = 20

d = 2(20) → 40

π(20) + 40 = 102.8318531

Now lets round the answer to the hundredths place.

102.8318531 → 102.83

Answer:

62.83 (estimate)

Step-by-step explanation:

The equation for the perimeter of a circle (also called circumference) is 2 times pi times the radius, or pi times the diameter. Since the window is a semi-circle, you divide the result by two.

\(2\pi r\\2(20)\pi = 40 \pi\\40\pi= 125.6\\125.663706144/2=62.83\)

Answer:

\(3,10,29,66,127,218\)

Step-by-step explanation:

\(f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218\)

The correct answer will be Some underwater basket weavers are not serious students

The quality of the original proposition which was given to us is negative, it means there is as such no relationship between Subject and Predicate

So, if we change the quantity from universal to particular, then we will be referring to some, instead of referring to all the members of the class

This will imply that the resulting statement will still be negative in quality but it will be particular in quantity

So, according to the question if we only change the quantity, but not the quality of the proposition, the statement Some underwater basket weavers are not serious students will be formed

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Total votes were casted in election are 4716

Given: The ratio of votes in favor to votes against in an election is 5 to 4. 2,620 votes are in favor.

To find: The total number of votes cast.

Let the number of votes against is 4x.

Given the ratio of votes in favor to votes against is 5 : 4

Then, the number of votes in favor is 5x.

According to the question, 2,620 votes are in favor.

So, 5x = 2,620x = 2,620/5x = 524

The number of votes against = 4x = 4 × 524 = 2096

The total number of votes cast = votes in favor + votes against= 2620 + 2096= 4716

Therefore, there were 4716 votes cast in the

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Answer:

Graph #1

Step-by-step explanation:

In this distance v time graph, a negative slope means moving toward Mr. Wilson, a positive slope means moving away from Mr. Wilson, and a flat section means staying at a particular location without moving.

The first step here is to write out this question as a proper algebraic expression. That means you assign a letter to the question mark and you now have;

4/6 = y * 1/6

(Note that the symbol * represents the multiplication sign)

y * 1/6 can be re-written as y/6 since it is actually y/1 * 1/6

Therefore you now have;

4/6 = y/6

Cross multiply and you now have,

4 * 6 = y * 6

24 = 6y

Divide both sides of the equation by 6 (to eliminate the 6 on the right hand side)

4 = y

Therefore the number that should be in the question mark is 4.

The answer to the first line segment problem in the attached question is  ST = 7.07 units. See the explanation below.

A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two locations.

A line has no endpoints and stretches in both directions indefinitely, but a line segment has two defined or definite endpoints.

Lets explain how to find the length of a segment

- The length of a segment whose endpoints are (x1, y1) and (x2, y2)  and  can be founded by the rule of the distance:

d = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

Solving the problem

Recall that  The line segment is ST

Where S is (-3 , 10); and

T is (-2 , 3)

If S is (x1, y1)   and T (x2, y2) , thus

x1 = -3 and x2 = -2

y1 = 10 and y2 = 3.

Using the above rule,

ST = \(\sqrt{(-2--3)^2 + (3-10)^2}\)

ST = \(\sqrt{(1)^2 + (-7)^2}\)

ST = √ (1+49)

ST = √50

ST = 7.07

Part II - We apply same logic from Question I to question II.

Part III - The trick here is to define the coordinates of WV.

Assuming that the graph is calibrated in units of 1, then the coordinates of V = (0, 4)

W = (-2, -2)

For part IV the coordinates are:

P (-5, -)

Q (2, -4)

We are given two coordinates H(-1, 2) and K(-7, -4)

We need to find the midpoint of HK.

We have formula to find the midpoint.

[(x1 + x2)/2 , (y1 +y2)/2]

where:

x1 = -1, y1 = 2, x2 = -7, and y2 = -4

Plugging the above in to the formula we have:

[(-1+(-7)/2), (2 + (-4))/2]

= (-8/2, -2/2)

= (-4, -1)

Hence, the midpoint of HK is:
(- 4, 1)

To solve for Part VI, apply the same logic from Part V.

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The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.

To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.

The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)

Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015

For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.

Depth 1 (y₁ = 1.52 m):

First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)

The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m

Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s

Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)

Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)

The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.

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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?

Answer:

Step-by-step explanation:

no triangle

11<4+3 false

Answer:

Take a scale and draw a line of 4 centimetres.

Then again on its opposite side draw 3 cm. The connect final sides. I this way no triangle is Made.

The Answer is g(x)=2^x−3 because in the above exponential function graph could be get by this function

Answer:

y=1/5x+2

Step-by-step explanation:

First, find the slope. 1-3/-5-5=-2/-10=1/5

Now find the y intercept.

y=1/5x+b

3=1/5(5)+b

3=1+b

Subtract 1 from both sides

2=b

y=1/5x+2

The expression that represents the price Charles will pay for the book is 0.53b. We can solve this question through linear equations.

To find the price Charles will pay for the book, we need to consider the original price of the book (represented by b) and the sales tax, which is 6% of the discounted price.

The book is on sale for half off, so the discounted price would be 50% of the original price, which is 0.5b.

Next, we need to calculate the sales tax. Since the tax is 6% of the discounted price, we multiply the discounted price (0.5b) by 6% (0.06).

The expression for the sales tax is 0.06 * 0.5b = 0.03b.

Finally, to find the total price Charles will pay, we add the discounted price (0.5b) and the sales tax (0.03b):

Total price = 0.5b + 0.03b = 0.53b.

Therefore, the expression that represents the price Charles will pay for the book is 0.53b.

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