Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.

Answer:

yes

Step-by-step explanation:

(x,y) -> (1,-9)   y=-9

Answer:

HF and DE

Step-by-step explanation:

Answer:

hf and de

Step-by-step explanation:

The final answer is: 6.09 meters.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14.

To find the radius of a circle given its circumference, you can use the formula: r = C / 2π

Plugging in the values given in the problem, we get: r = 38 meters / 2π

Then we will get r= 38/2(22/7)

Therefore, the radius of the circle is approximately 6.09 meters. Rounded to two decimal places, the radius is 6.09 meters.

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Answer:

GCF: 8

Answer: 8(7z - 3)

Step-by-step:

For the answer you just need to factor 8 out of 56z - 24

Answer:

GCF is 8

Step-by-step explanation:

Prime factor 56 and 24

See the biggest factor that will divide into them

The largest possible whole-number length for the third side of a triangle with two sides of length 3 and 17 is 19

A triangle is a polygon with three sides and three angles. The types of triangle includes;

Let

In any given triangle:

"Sum of any two sides of a triangle is greater than the third side."

That is,

Sum of first side + Sum of second side > Third Side

17 + 3 > x

20 > x

hence, the largest possible value for x = 19

Therefore, the largest possible value of the third side of the triangle is 19

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The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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Step-by-step explanation:

US nickels are .077  inches thick per nickel

1250 ft = 1250  ft * 12 inches / ft = 15 000 inches

15000 inches /  ( .077 in / nickel ) =

        194 805  nickels  ( stacked on their flat sides) equals the Empire State building

Answer:

-4r - 4 + 6x

Step-by-step explanation:

-4r +1 + 6x - 5

=> -4r - 4 + 6x

Therefore, the sum of -4r +1 and 6x - 5 is -4r - 4 + 6x

Hoped this helped.

By implicit differentiation, the slope of the tangent line is equal to - 1 / 2.

In this question we need to determine the slope of a line tangent to the curve 2 · sin x + 6 · cos y - 5 · sin x · cos y + x = 4π. The slope of the tangent line is obtained from the first derivative of the curve, this derivative can be found by implicit differentiation. First, use implicit differentiation:

2 · cos x - 6 · sin y · y' - 5 · cos x · cos y + 5 · sin x · sin y · y' + 1 = 0

Second, clear y' in the resulting formula:

2 · cos x - 5 · cos x · cos y + 1 = 6 · sin y · y' - 5 · sin x · sin y · y'

(2 · cos x - 5 · cos x · cos y + 1) = y' · sin y · (6 - sin x)

y' = (2 · cos x - 5 · cos x · cos y + 1) / [sin y · (6 - sin x)]

Third, determine the value of the slope:

y' = [2 · cos 4π - 5 · cos 4π · cos (7π / 2) + 1] / [sin (7π / 2) · (6 - sin 4π)]

y' = [2 - 5 · cos (7π / 2) + 1] / [6 · sin (7π / 2)]

y' = - 3 / 6

y' = - 1 / 2

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The area of a healing wound, given by \(A = \pi r^2\), is decreasing at a rate of \(\(-6\pi\)\) square millimeters per day when the radius is 38 millimeters.

The problem provides us with the equation for the area of a healing wound, \(A = \pi r^2\), where A represents the area and r represents the radius. We are given that the radius is decreasing at a rate of 3 millimieters per day. We need to find how fast the area is decreasing when the radius is 38 millimeters.

To solve this problem, we need to differentiate the equation for the area with respect to time. Using the power rule, the derivative of A with respect to r is \(\(\frac{dA}{dr} = 2\pi r\)\).

Next, we can use the chain rule to find \(\(\frac{dA}{dt}\)\), the rate of change of the area with respect to time. Since the radius is decreasing, we have \(\(\frac{dr}{dt} = -3\)\). Applying the chain rule, \(\(\frac{dA}{dt} = \frac{dA}{dr} \cdot \frac{dr}{dt} = 2\pi r \cdot (-3) = -6\pi r\)\).

Now, we substitute the given value of the radius, r = 38, into the derived expression for \(\(\frac{dA}{dt}\): \(\frac{dA}{dt} = -6\pi \cdot 38 = -228\pi\)\) square millimeters per day. Therefore, the area is decreasing at a rate of 228π square millimeters per day when the radius is 38 millimeters.

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The individual credited with devising levels of measurement in which different measurement outcomes can be classified is Stanley Smith Stevens.

Stanley Stevens was an American psychologist and professor known for his work in psychophysics and measurement theory. In 1946, he proposed a framework for levels of measurement, which became known as Stevens' levels of measurement or Stevens' scale.

Stevens recognized that different types of data or measurements have different properties and require different statistical operations. He categorized measurement scales into four distinct levels:

Nominal Scale: The nominal scale is the lowest level of measurement. It involves assigning categories or labels to objects or individuals without any inherent order or numerical value. Examples include gender (male/female), eye color (blue/brown/green), or favorite color (red/blue/green). Nominal data can be classified and counted, but arithmetic operations such as addition or subtraction are not meaningful.

Ordinal Scale: The ordinal scale represents data with categories that have a natural order or ranking. It allows for comparisons of the relative size or magnitude between categories, but the differences between categories may not be equal or meaningful. Examples include rankings (1st, 2nd, 3rd), Likert scales (strongly agree/agree/neutral/disagree/strongly disagree), or letter grades (A, B, C, D, F). Arithmetic operations are still not applicable to ordinal data.

Interval Scale: The interval scale has categories with meaningful order, and the differences between categories are equal and meaningful. It includes a fixed measurement unit but lacks a true zero point. Temperature in Celsius or Fahrenheit is a classic example of an interval scale. Arithmetic operations like addition and subtraction are meaningful, but multiplication and division are not.

Ratio Scale: The ratio scale is the highest level of measurement. It possesses all the properties of the interval scale, along with a true zero point that indicates the absence of the measured attribute. In addition to equal intervals, ratio scales allow for meaningful multiplication and division. Examples include height, weight, time, or counts of objects.

Stevens' levels of measurement provide a framework for understanding the properties and appropriate statistical analyses for different types of data.

By categorizing measurement scales into these levels, researchers can make informed decisions about the appropriate statistical techniques to use based on the nature of their data. Stanley Smith Stevens' contributions have had a significant impact on the field of measurement theory and statistical analysis.

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Answer:

(5^8)pi

Step-by-step explanation:

(5^4)^2 * pi=5^8 * pi

Answer:

uuuu

Step-by-step explanation:

Answer:

1. A heterotroph

2. An autotrophs

3. Genus

4. An habitat

5.The binomial nomenclature system combines two names into one to give all species unique scientific names.

6. Carolus Linnaeus

7. Living organisms residing in a habitat are called biotic components.

8. Photosynthesis

The area of rectangle ABCD is equal to 20 square units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(-5 + 6)² + (2 - 4)²]

Distance AB = √[1 + 4]

Distance AB = √5

For the width, we have:

Distance AD = √[(2 + 6)² + (8 - 4)²]

Distance AD = √[64 + 16]

Distance AD = √80

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = AD × AB

Area of a rectangle = √80 × √5

Area of a rectangle = √400

Area of a rectangle = 20 square units.

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Answer:

1.54 in²

Step-by-step explanation:

Given that,

→ Radius (r) = 0.7 in

Formula we use,

→ πr²

The area of the circle will be,

→ πr²

→ (22/7) × 0.7 × 0.7

→ (22/7) × 0.49

→ [ 1.54 in² ]

Hence, area of circle is 1.54 in².

Answer:

The answer is -84,484

Step-by-step explanation:

using Bodmas

multiplication first

5774+252-(2586×35)

5774+252-90510

6026-90510

-84,484

A parking sign is in the shape of a square. The area in square centimeters, is given by the equation: l^(2)=400 The length, l, of one side of the sign is  20 centimeters.

The equation l^2 = 400 represents the relationship between the length of one side of the square (l) and its area. To find the length of one side, we need to solve for l. In this case, we can take the square root of both sides of the equation to isolate l.

Taking the square root of 400, we get l = √400 = 20.

Therefore, the length of one side of the parking sign is 20 centimeters.

By substituting the value of l back into the equation, we can verify that it satisfies the equation: (20)^2 = 400, which is true.

Hence, the length of one side of the square parking sign is 20 centimeters.

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To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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The markers identified when identifying significant digits include:

Significant digits in mathematics refers to digits that  are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.

Instances of digits with their locations that are significant are:

These instances results to significant digits while the instances below the digits are insignificant:

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The actual length of the white fox statue is approximately 756 cm, and the actual height is approximately 392 cm.

To calculate the actual length and height of a white fox statue in White Fox, SK, using the given scale factor, we can follow these steps:

Determine the scale factor ratio.

The scale factor of 2.8 means that for every 1 unit on the scale diagram, the corresponding measurement in real life is 2.8 units.

Calculate the actual length and height.

Using the scale factor, we can multiply the dimensions of the scale diagram to find the actual dimensions of the statue:

Actual Length = Scale Length × Scale Factor

Actual Length = 2.7 m × 2.8 = 7.56 m

Actual Height = Scale Height × Scale Factor

Actual Height = 1.4 m × 2.8 = 3.92 m

Round the results.

Rounding to the nearest centimeter, we get:

Actual Length ≈ 7.56 m ≈ 756 cm

Actual Height ≈ 3.92 m ≈ 392 cm

Therefore, the actual length of the white fox statue is approximately 756 cm, and the actual height is approximately 392 cm.

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Answer:

Step-by-step explanation:

-14+65-12

let's do 65-12 first

=53

now 53-14

=39

46-29

=17

Given

Mike took a taxi from home to Airport. The taxi driver charged $6 as initial fees and $3 per mile and the total fare is $24.

Required

we need to find total number of miles he covered on this ride.

Explanation

Let total number of miles he travelled be x

Then total fare =6+3x

i.e

So total number of miles covered is 6 miles.

Answer:

ok

Step-by-step explanation:

The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.

From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.

Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.

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Answer:

A: 2:30

B: 13:15.

C: 4:05 A.M

D: 3:25 P.M

Step-by-step explanation:

Answer:

a) 0230 hours

b) 1315 hours

c) 4:05 am

d) 3:25 pm

Step-by-step explanation:

To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.

a) 2:30 am

2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:

b) 1:15 pm

1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:

0115 + 1200 = 1315

1315 hours is your answer.

To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.

0405 = 4:05 am.

1525 = 12 pm + 3:25 = 3:25 pm.

~

There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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The radius, the arc length, and the central angle of the resulting circular sector is 13 cm

What is Radius?

A radius of a circle or sphere is any of the line segments connecting its center to its perimeter, and it is also their length in more recent usage. The term is derived from the Latin radius, which means both ray and spoke of a chariot wheel.

1) volume of the cone = 1/3\(\pi\)\(r^{2}\)h

r = radius

h = height or depth

given, D = 10 cm

so r = 5 cm

v = 1/3*22/7*5*5*12

v = 100\(\pi\)

2) for up to 6cm height

volume = ?

here in this triangle

triangle ΔAOC and ΔEDC are similar (have some shape as all three angle of both Δ are same

when two figure are similar the ratios of the length of their corresponding sides are equal

here,  ΔAOC and ΔEDC

so r = 2.5cm

so volume when cup is 6cm deep

v1 = 1/3\(\pi r^{2} h\)

v1 = 1/3 *\(\pi\)*2.5*2.5*6

v1 = 12.5\(\pi\)

length = \(r^{2}+h^{2}\) pythogonus theorem

length = 13cm

arc length = angle (in radius)*radius

2*\(\pi\)*5

=10\(\pi\)

centre angle = 10\(\pi\)/13 radiance

= 10 * 180 Degree/13

=138.46 degree

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Answer:

9 minutes

Step-by-step explanation:

The amount of time t that it takes to put out a fire varies inversely with the volume of water used, G

t = k/G

Where,

k = constant

When G is 3, t is 15

t = k/G

15 = k/3

Cross product

15 * 3 = k

k = 45

Find t when G = 5

t = k/G

t = 45/5

t = 9 minutes

The total cost of the vegetable seeds is $18.85

We can multiply the cost per package by the number of packets to get the total cost of the vegetable seeds.

There are 13 packages in this case, each costing $1.45 with VAT.

Cost of seeds overall equals Price per packet * Number of packages

Each box costs $1.45.

There are 13 packages total.

$1.45 * 13 is the total cost of the seeds.

We may multiply the price per package ($1.45) by the quantity of packets (13), which will get the total cost:

Total price of seeds: $1.45 multiplied by 13 equals $18.85

It's vital to remember that, as stated in the problem, tax is already included in the pricing per package. Therefore, there is no need to adjust the estimate to account for additional taxes. Given that there are 13 packets and that the price each box is $1.45, we can calculate the total cost by multiplying the number of packages by the price per package.

In order to buy all 13 packages of vegetable seeds, Kevin would need to spend the whole sum shown. In this instance, the overall expense is $18.85.

Include the appropriate unit in your response, which should be "dollars" ($).

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