PLEASE HELP WITH THIS

The conversion factor that you should use is; 60 minutes =  1 hour. Option A

A conversion factor is a ratio used in mathematics to change a measurement's unit of measurement. It is a fraction with two different units that yet has the value 1. Both the fraction's numerator and denominator are identical measurements expressed in different units.

If 60 minutes make 1 hour

x minutes make 3.5 hours

x = 3.5 * 60/1

x = 210 minutes

Thus 3.5 hours is the same as 210 minutes.

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Answer:  multiple them all together or add them

Step-by-step explanation:

Concept: "Logos" has had a significant impact on Western thought. Importance: its recognition of the interplay between rational thought and empirical observation Acknowledgement: role of language and discourse in shaping our understanding of the world.

Topic: The concept of "Logos" in Greek philosophy and its significance in modern scientific fields.

The concept of "Logos" is central to Greek philosophy and has been interpreted in various ways throughout history. In its most basic sense, "Logos" refers to rational thought, speech, and language. It is often associated with the divine or the cosmic principle that governs the universe, as well as human reasoning and discourse.

The significance of "Logos" can be seen in its influence on modern scientific fields, including biology, psychology, and technology, among others. The term "biology," for example, comes from the Greek words "bios" (life) and "logos" (word or reason), reflecting the idea that the study of life requires both empirical observation and rational analysis.

Similarly, the field of psychology, which deals with the workings of the human mind and behavior, derives its name from the Greek word "psyche," meaning "soul," and "logos," meaning "reason." This reflects the idea that the study of the mind and behavior requires both empirical research and theoretical analysis.

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Translation: The Greek word "logos" is typically interpreted as the pinnacle of Western rationalist civilization, having been established by the first schools of classical philosophy. In reality, he is responsible for the names of many scientific fields, including biology, philology, psychology, technology, and others. Since it requires both mind and action, internal and external, the mental notion and pronouncing the word, the concept of "logos" does not have such an abstract meaning. Topic:____________________________________________________ Principal Concept:

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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The correct statement is: 'A standard normal distribution has a mean of 0 and a standard deviation of 1 '

The correct answer is an option (b)

In this question, we need to complete given statement.

We know that the normal distribution is a symmetrical and bell-shaped distribution.

In standard normal distribution the mean, median and mode are all equal. Also, it always has a mean of zero and a standard deviation of one.

So,  A standard normal distribution has a mean of 0 and a standard deviation of 1 .

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ANSWER

Range:

Domain:

EXPLANATION

Given:

Note: All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this instance, the expression is defined (there is no real number that makes the expression undefined). However, the collection of all acceptable y values constitutes the range.

The missing value is 312 and the complete equation is 20 × 16 = 4x + 312, so that it has one solution of x = 2.

Given: Find the missing value which completes the equation 20 × 16 = 4x +? when x = 2.

What are algebraic equations?

Algebraic equations are a sequence or combination of characters containing alphabets, numbers, variables, symbols, operators, operands, etc. that equates to some value. It can simplify a bigger problem by deriving an equivalent expression for the same.

What are unknown variables?

Unknown variables are those variables whose value is yet not known. These variables are just declared for a better understanding of the problem but have no value yet. We need to find the value of unknown variables by solving one or more algebraic equations.

Let's solve the given problem.

Given that: 20 × 16 = 4x +?

We need to find the missing value that will satisfy the equation when x = 2.

Let us consider the missing value to be y.

So, the equation can be written as: 20 × 16 = 4x + y.

or 4x + y = 20 × 16

Given the find the value of y when x = 2.

So replacing the value of x with 2.

4 × 2 + y = 20 × 16

8 + y = 20 × 16

8 + y = 320

Adding (-8) on both sides

8 + y + (-8) = 320 + (-8)

8 + y - 8 = 320 - 8

y = 312

Therefore, the missing value is 312

Hence the missing value is 312 and the complete equation is 20 × 16 = 4x + 312, so that it has one solution of x = 2.

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Answer:

5.25 feets

Step-by-step explanation:

Given that:

Height of Salem Sue = 38 feets

Height of Salem Sue's shadow = 57 feets long

Height of child standing next to the statue = 3.5 foot tall

Length of the child's shadow =?

Let lenght of child's shadow = s

IF;

38 Feets tall = 57 feets lenght

3.5 feets tall = s feets long

Cross multiply :

38 * s = 57 * 3.5

38s = 199.5

38s / 38 = 199.5 /38

s = 5.25

Hence, length of the child's shadow will be 5.25 feets long

Answer:

2/3

Step-by-step explanation:

The probability that it will rain on wednesday will be 0.75.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

We have a meteorologist who says that there is a 50% greater chance of rain than no rain on Wednesday.

Assume that the probability that it will rain on wednesday be [x]. Now, we can write -

P[R] = P[N.R.] + 1/2

P[R] + P[R] = P[N.R.] + P[R] + 1/2

2 P[R] = 1 + 1/2

2 P[R] = 1.5

P[R] = 1.5/2

P[R] = 0.75

Therefore, the probability that it will rain on wednesday will be 0.75.

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Total cases = total pallets x cases per pallet

Total cases = 60 x 10 = 600 cases

600 cases - 180 cases = 420 cases left

Answer: 420 cases

Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

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Answer:

x < 11

Step-by-step explanation:

-9x + 40 > -59

Subtract 40 from each side.

-9x > -99

Divide by -9 on each side. (flip the symbol)

x < 11

Answer: C

Step-by-step explanation:

just took that test

Total cost in single service crew is greater than double service crew. So, double service crew is cheaper.

We have, a crew of mechanics at the highway department garage repair vehicles. In case of poisson distribution,

λ = 3 vehicles every 12 minutes

= 3×60/12 = 3× 5

λ = 15 vehicles per hour

When time distribution is approximates an exponential distribution,

The mechanic crew can service an average, μ = 3 vehicles every 10 minutes

μ = 3×60/10 = 18 vehicles per hour

Cost for one service crew =$150 per hour

Cost associated with lost productivity from the breakdown or wait cost

=$50 per hour

For single crew, number of vehicles out of cost, Lₛ = 15/(18 - 15) = 15/3 = 5

Single service crew cost = $150 per hour

wait cost = $5×50 = $250 per hour

Total cost = $400 per hour

For double service crew, Number of vehicles out of service cost = 15/(36 - 15)

= 15/21 = 0.7143

Double service crew cost = 2× $150

= $300

Wait cost = $0.7143×50 = $35.715

Total cost = $335.715 per hour

As we see, the double service crew is cheaper.

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Given: a circle with radius 5 and arc length

Find: angle in radians in simplest form.

Explanation:

Final answer: the required answer is

Answer:

-f(x+6)^2-4

Step-by-step explanation:

You put the "-" at the beginning becasue you flip it over the x-axis. +6 because you moved it 6 units to the left, and -4 becasue you moved it 4 units down. Hope that helps!

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

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The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D

The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².

This is called the standard form of the equation of a circle.

In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.

To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.

If it is true, then the point lies on the circle.

Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:

(-6 + 2)² + (-4)² = 32

(-4)² + (-4)² = 32

16 + 16 = 32

32 = 32

Since the equation is true, (-6, -4) lies on the circle.

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Answer:

Katie,

Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:

h = (3200 ft) - (160 ft/s)·t

As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s

Answer:

h(t) = -16t^2 + 200

Step-by-step explanation:

There are no solutions to the equation f(x) = g(2).

Given:

f(x) = -0.05x³ - 0.3x² + x - 1

g(2) = |1.1x| + 5.6

To find the solutions to the equation f(x) = g(2), we substitute x = 2 into both functions and equate them:

f(2) = g(2)

Substituting x = 2 into f(x):

f(2) = -0.05(2)³ - 0.3(2)² + 2 - 1

f(2) = -0.05(8) - 0.3(4) + 2 - 1

f(2) = -0.4 - 1.2 + 1

f(2) = -1.6

Substituting x = 2 into g(2):

g(2) = |1.1(2)| + 5.6

g(2) = |2.2| + 5.6

g(2) = 2.2 + 5.6

g(2) = 7.8

Now we can set -1.6 equal to 7.8 and solve for x:

-1.6 = 7.8

This equation has no solution.

Therefore, there are no solutions to the equation f(x) = g(2).

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

The answer is 293.57.

Hope you do great!

Step-by-step explanation: The way you do it is by seeing the 100% of any number and subtracting the 30% off and then divide the number by 70% and then multiply that number by the original 100%!

Answer:

3

Step-by-step explanation:

Answer:

b. 1.97

Step-by-step explanation:

1cm≈0.032feet

60/0.032≈1.97feet

Therefore , the solution of the given problem of volume comes out to be the response is 900 cubic units.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic dimensions are liter and in3. However, understanding an object's volume is necessary to calculate its measurements. It is standard practice to convert the weight of an object into mass units like grams and kilograms.

Here,

The formula V = Bh, when B is the area of the bottom and h is the height of the prism, determines the volume of a right triangle prism.

The prism has an area of because its foundation is a right triangle with 8 and 15-foot-long legs.

=> B = (1/2)bh = (1/2)(8)(15) = 60

The prism's height is specified as 15 inches.

As a result, the prism's capacity is:

=>  900 cubic units are equal to V = Bh = 60(15).

Therefore, the response is 900 cubic units.

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Answer:

900 cubic units

Step-by-step explanation:

Answer:

12n+9=93

solve for n

12n=93-9

n=84/12

n=7

therefore, Mr. copper bought 7 tickets.

As x approaches to infinity y  also approaches to infinity.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output. Formally, a function f from a set A to a set B is defined as a subset of the Cartesian product A × B such that for every element a in A, there is a unique element b in B such that (a, b) belongs to the subset.

A function can be represented using the function notation f(x) = y, where x is the input (or independent variable), y is the output (or dependent variable), and f is the name of the function. The value of f(x) depends on the value of x and the rules of the function.

From the graph

x approaches to infinity

y  also approaches to infinity.

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To make a 300 mL buffer solution with a pH of 3.5, the mass of NaF required is 7.17 grams.

The buffer solution is created by mixing HF with NaF. The two ions, F- and H+, react to create HF, which is the acidic component of the buffer. The pKa is used to determine the ratio of the conjugate base to the conjugate acid in the solution. Let us calculate the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5.

To calculate the mass of NaF, we need to know the number of moles of NaF needed in the solution. We can calculate this by first determining the number of moles of HF and F- in the buffer solution. Here's the step-by-step solution:

Step 1: Calculate the number of moles of HF needed: Use the Henderson-Hasselbalch equation to calculate the number of moles of HF needed to create a buffer with a pH of 3.5.pH

\(= pKa + log ([A-]/[HA])3.5\)

\(= -log(7.2*10^{-4}) + log ([F-]/[HF])[F-]/[HF]\)

= 3.16M/0.1M = 31.6mol/L.

Since we know that the volume of the buffer is 0.3L, we can use this value to calculate the number of moles of HF needed. n(HF) = C x Vn(HF) = 0.1M x 0.3Ln(HF) = 0.03 moles

Step 2: Calculate the number of moles of F- needed: The ratio of the concentration of F- to the concentration of HF is 31.6, so the concentration of F- can be calculated as follows: 31.6 x 0.1M = 3.16M. The number of moles of F- needed can be calculated using the following formula: n(F-) = C x Vn(F-) = 3.16M x 0.3Ln(F-) = 0.95 moles

Step 3: Calculate the mass of NaF needed: Now that we know the number of moles of F- needed, we can calculate the mass of NaF required using the following formula:

mass = moles x molar mass

mass = 0.95 moles x (23.0 g/mol + 19.0 g/mol)

mass = 7.17 g

So, the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5 is 7.17 grams. Therefore, the correct answer is 7.17g NaF.

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The correct question would be as

Calculate the mass of NaF in grams that must be dissolved in a 0.25M HF solution to form a 300 mL buffer solution with a pH of 3.5. (Ka for HF= 7.2X10^(-4))