What is the slope of the line with equation

maximillian walks 0.6 mile each day. He would walk 60 miles in =60/0.6 = 100 days

Answer:

He will have 60 miles in 100 days

Step-by-step explanation:

You only have to divide 60 by 0.6

[tex]60 / 0.6=100[/tex]

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The surface area of the cube with a side length of 5.5 yards is 181.5 square yards.

To find the surface area of a cube with a side of 5.5 yards, we need to add up the areas of all six sides of the cube.

The formula for the surface area of a cube is

SA = 6s²

where SA is the surface area and s is the length of the side.

Substituting s = 5.5 yards into the formula, we get

SA = 6(5.5)²

SA = 6(30.25)

SA = 181.5 square yards

Therefore, the surface area of the cube is 181.5 square yards.

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Answer:

a polygon has ten sides and it is known as decagon

a) The population is modeled by:

[tex]y = 13,500*(1.04)^t[/tex]

b) In the year 2008, the population is  18,476

The general population equation is an exponential equation of the form:

[tex]y = A*(1 + r)^{t}[/tex]

Where A is the initial population, r is the rate of growth, and t is the variable, time in years.

Here we know that the initial population is 13500, the rate is 4% (or 0.04 in decimal form).

Then the equation is:

[tex]y = 13,500*(1.04)^t[/tex]

b) 2008 is 8 years after 2000, so we need to evaluate in t = 8.

[tex]y = 13,500*(1.04)^8 = 18,475.68[/tex]

we can round that to the next whole number, which is 18,476

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Possible strategic initiatives for the strategic objective to satisfy clients:

• Implement additional training course on serving and interacting with clients

a. client review and client growth percentage metrics likely relate to a strategic objective to satisfy and increase clients. The market share and profit margin metrics likely relate to a strategic objective to increase profits.

b.

New clients during the month

7

Lost clients during the month

(4)

Increase in clients

3

Total clients at the beginning of last month

÷ 72

Client growth percentage last month

4.17%

target met

c.

Number of 5-star reviews

55 × 5 =

275

Number of 4-star reviews

10 × 4 =

40

Number of 3-star reviews

3 × 3 =

9

Number of 2-star reviews

1 × 2 =

2

Number of 1-star reviews

1 × 1 =

1

Sum total of stars

327

Total number of reviews

÷ 70

Average online client satisfaction rating

4.67

stars, target

not met

d.

Possible strategic initiatives for the strategic objective to satisfy clients:

• Implement additional training course on serving and interacting with clients

• Invite clients to provide additional feedback through a brief online survey

• Have the company owner send a personal apology to any clients providing a review of 2 stars or less, and offer them some kind of compensation; also ask for their feedback regarding what caused them dissatisfaction

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The number line shows the solution to the inequality is number line going from negative 8 to positive 2. An open circle is at negative 3.

We are given the inequality as;

y - 2 > -5

Solving an inequality involves finding the set of values that satisfy the inequality. This means that any value of x that is greater than 3 will satisfy the inequality.

We can isolate x:

y - 2 > -5

y  > -5+ 2

y  > -3

So, the solution is the number less than 1 but not 1. In the number line this number line going from negative 8 to positive 2. An open circle is at negative 3.

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Answer:

The GCF is 12. ^^

Step-by-step explanation:

Answer:

12(1+5)

Step-by-step explanation:

The gcf of 12 and 60 is 12. This is because both are divisible bt 12. 12/12=1 and 60/12 is 5. Since, they're both divisible by 12, take out the 12, and multiply it by it's factors. Since 12x1= 12 and 12x5=60, it would be 12(1+5)

Multiplying radical expressions √6(√2 + √6) involves multiplying the coefficients and then multiplying the radicands. Therefore, the final answer is 2√12 + 6√6.

The multiplication of two radicals can be done by using the product rule which states that the product of two radicals is equal to the product of the coefficients and the product of the radicands.

Multiplying radical expressions involves multiplying the coefficients and then multiplying the radicands.

In this case, the coefficients are 1 and the radicands are √6 and (√2 + √6). The first step is to multiply the coefficients, which is 1*1 = 1.

The second step is to multiply the radicands, which is √6*(√2 + √6).

In this case, the product of the radicands is (√2 * √6) + (√6 * √6).

This can be simplified to 2√12 + 6√6.

Therefore, the final answer is 1*(2√12 + 6√6) = 2√12 + 6√6.

In summary, multiplying radical expressions √6(√2 + √6) involves multiplying the coefficients and then multiplying the radicands. Therefore, the final answer is 2√12 + 6√6.

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Answer:

A

Step-by-step explanation:

The value of x is given as follows:

x = 7.

Similar triangles are triangles that share these two features listed as follows:

Considering the similar triangles, the equivalent side lengths are given as follows:

Hence we apply the proportional relationship among the equivalent side lengths to obtain the value of x as follows:

8/14 = (2x - 2)/3x

14(2x - 2) = 8(3x)

28x - 28 = 24x

4x = 28

x = 7.

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Step-by-step explanation:

To calculate your after-tax return on investment, we need to know your tax rate. Let's assume your tax rate is 20%.

Your total income from the salary and interest is:

$29,000 + $125 = $29,125

Your tax liability on this income is:

$29,125 * 20% = $5,825

So your after-tax income is:

$29,125 - $5,825 = $23,300

Your after-tax return on the investment is:

$125 / $23,300 = 0.0054 or 0.54%

Therefore, your after-tax return on the investment is 0.54%.

The formula for the curved surface area of a cylinder is given by:

Curved Surface Area = 2 × pi × radius × height

where pi is the mathematical constant approximately equal to 3.14, radius is the distance from the center of the circular base to the edge of the cylinder, and height is the distance between the two circular bases of the cylinder.

Given, the radius of the cylinder is 7 cm and the height is 2 cm, we can substitute these values in the above formula to find the curved surface area:

Curved Surface Area = 2 × (22/7) × 7 cm × 2 cm

= 2 × 22 × 2 cm^2

= 88 cm^2

Therefore, the curved surface area of the cylinder is 88 square centimeters.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Check the picture below.

[tex]2x+3=\cfrac{(176-2x)-47}{2}\implies 4x+6=(176-2x)-47 \\\\\\ 4x+6=129-2x\implies 6x+6=129\implies 6x=123 \\\\\\ x=\cfrac{123}{6}\implies x=\cfrac{41}{2}\implies x=20\frac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ 2\left( \frac{41}{2} \right)+3\implies 41+3\implies 44^o\impliedby \measuredangle MNO[/tex]

Using geometric sequence, we can find that the recursive formula will be:

[tex]a_{n}[/tex] = (-2) ([tex]a_{n-1}[/tex])

[tex]a_{1}[/tex] = 5

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios. In other words, each phrase in a geometric series is multiplied by a constant to produce the following term.

Here in the question,

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = [tex]a(r)^{n-1}[/tex]

Where 'a' is the first term of the sequence.

Here, r is the common ratio.

Recursive formula of a geometric sequence is,

[tex]a_{n}[/tex] = [tex](a_{n-1})[/tex] × [tex]r^{n-1}[/tex]

[tex]a_{n}[/tex] = (-2) ([tex]a_{n-1}[/tex])

Where, [tex]a_{1}[/tex] = 5

So, the recursive formula will be = [tex]a_{n}[/tex] = (-2) ([tex]a_{n-1}[/tex]).

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The number that is 1.5 standard deviations below the mean is approximately 0.631.

Standard deviation is a measure of the amount of dispersion in a set of data. It measures how much the data values deviate from the mean of the data set. A smaller standard deviation indicates that the values tend to be close to the mean, while a larger standard deviation indicates that the values are more spread out from the mean. Standard deviation is commonly used in statistical analysis to measure the spread of a data set and to help identify outliers.

To find the number that is 1.5 standard deviations below the mean, we first need to calculate the mean and standard deviation of X.

The mean is:

μ = Σ(x * f) / n = (0*3 + 1*15 + 2*30 + 3*27 + 4*11 + 5*7 + 6*7) / 100 = 2.77

The variance is:

σ^2 = Σ[(x - μ)^2 * f] / (n-1)

=  [(0-2.77)^2*3 + (1-2.77)^2*15 + (2-2.77)^2*30 + (3-2.77)^2*27 + (4-2.77)^2*11 + (5-2.77)^2*7 + (6-2.77)^2*7] / (100-1)

= 2.0346

The standard deviation is:

σ = [tex]\sqrt{2.0346}[/tex] = 1.426

Now we can find the number that is 1.5 standard deviations below the mean:

2.77 - 1.5(1.426) = 0.631

Therefore, the number that is 1.5 standard deviations below the mean is approximately 0.631.

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Answer:

The ratio 56 to 35 = 8 to 5 = 8/5

The probability of randomly selecting the number 1 is P = 0

Here we randomly select a number from the set:

S = {4, 7, 10, 13, 16, 19}

And we want to find the probability that the number is 1.

To get this, we need to take the quotient between the number of ttimes that the number 1 appears on the set, and the total number of numbers in the set.

Here you can see that we have 6 numbers in our set, and the number 1 does not appear, then the probability is:

P = 0/6 = 0

It makes sense, if the 1 does not belong to the set, we never can randomly select it.

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Answer:

[tex]m = \frac{ - 2 - 3}{5 - 1} = - \frac{5}{4} [/tex]

The maximum salary Larry can offer a new employee per annum is $250,000.

The maximum salary conferrable on a new employee is based on projections, worked out as follows:

The gross revenue to be generated = $8 million

Annual profit margin = 15% or $1.2 million ($8 million x 15%)

Current projected expenses for the year = $6.3 million

Actual cost of an employee = $0.5 million ($8 - 1.2 - 6.3)

Maximum salary = $250,000 ($0.5 million x 50%).

Thus, based on current projections of a gross revenue of 8 million USD with a 15% annual profit margin and projected expenses of 6.3 million, the maximum salary that Larry can offer a new employee is $250,000.

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Answer:

Step-by-step explanation:

You want to know which of the relations shown is a function.

The rule is pretty simple. A relation is a function if each element of the domain maps to exactly one range value.

If an element of the domain maps to two or more range values, the relation is not a function.

In the attachment, we have identified what you would look for to determine that the relation is not a function. The map of a function has one arrow from each domain value. The ordered pairs of a function have no repeated first-values.

39 over 80 will be the probability of getting desired outcomes.

Finding the total number of rolls that produced an odd number and dividing that by the total number of rolls will yield the experimental probability that the number rolled was odd.

80 rolls are listed as the total. We sum the frequency of the odd numbers to determine the total number of rolls that produced an odd number:

Total frequency of odd numbers = frequency of 1 + frequency of 3 + frequency of 5

= 15 + 14 + 10

= 39

the following is the experimental likelihood that the number rolled was odd:

The frequency of odd numbers divided by the total number of rolls gives the probability of rolling an odd number.

= 39 / 80

Therefore, the probability will be 39 over 80.

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When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).

The current coordinates are:

( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )

The new coordinates, with an expansion of 2 would be:

Point 1:

New coordinates: (1 x 2, 3 x 2) = (2, 6)

Point 2:

New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )

Point 3:

New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )

Point 4:

New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )

The enlarged figure would have coordinates at  (2, 6), (6, 6), (0, 8), and (4, 8).

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The y-coordinate of the solution of the equation will be 2.

Given that:

x - 2y = 4

x + 3y = 14

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are different then the lines are intersecting.

And if the slopes are different then the system has one solution.

The lines are drawn on the graph and their intersection point will be (8, 2).

The y-coordinate of the solution of the equation will be 2.

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So the domain of m(x) is: Domain: x ∈ (-∞,-8) ∪ (-8,-3) ∪ (-3,5) ∪ (5,∞). So, as x approaches -3, m(x) approaches 4/3. So, the x-intercepts of m(x) are x=5 and x=-8. So, the y-intercept of m(x) is y=-32/3.

A function is a mathematical relationship between two sets of numbers, where each element in the first set (called the domain) is paired with a unique element in the second set (called the range). In other words, it is a rule or mapping that assigns each input value in the domain to exactly one output value in the range. Functions are often written in the form f(x) = y, where f is the name of the function, x is the input value, and y is the output value.

Here,

1. The denominator of the rational function cannot be equal to zero. Thus, x cannot be equal to -3 and x cannot be equal to 5 or -8, as those are the roots of the denominator. So the domain of m(x) is:

Domain: x ∈ (-∞,-8) ∪ (-8,-3) ∪ (-3,5) ∪ (5,∞)

2. To find the limit of m(x) as x approaches -3, we can simply substitute -3 for x in the function:

m(x) = (4(x-5)(x+8))/(x²-2x-15)

m(-3) = (4(-3-5)(-3+8))/((-3)²-2(-3)-15)

m(-3) = 32/24

m(-3) = 4/3

3. To describe the end behavior of m(x), we can look at the degree of the numerator and denominator. The degree of the numerator is 2 and the degree of the denominator is also 2. Thus, the end behavior of m(x) is:

As x approaches positive or negative infinity, m(x) approaches the horizontal asymptote y=4/1 or y=4.

4. To find the x-intercept, we set m(x) equal to zero and solve for x:

(4(x-5)(x+8))/(x²-2x-15) = 0

4(x-5)(x+8) = 0

x = 5 or x = -8

So, the x-intercepts of m(x) are x=5 and x=-8.

To find the y-intercept, we set x equal to zero and simplify:

m(0) = (4(0-5)(0+8))/(0-2(0)-15)

m(0) = -160/15

m(0) = -32/3

So, the y-intercept of m(x) is y=-32/3.

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The solution by completing the square for the equation x² + 3x = 24 is x ≈ 3.55 or x ≈ -6.55, which is (3.55, -6.55) when rounded to the nearest hundredth. The correct answer is A).

To solve by completing the square, we need to take half of the coefficient of x, square it, and add and subtract it to both sides of the equation. Then, we can factor the left side and solve for x.

Starting with the equation

x² + 3x = 24

First, we add and subtract (3/2)² = 2.25 to both sides

x² + 3x + 2.25 - 2.25 = 24

(x + 1.5)² = 26.25

Taking the square root of both sides

x + 1.5 = ±√26.25

x = -1.5 ± √26.25

Rounding to the nearest hundredth, we get

x ≈ 3.55 or x ≈ -6.55

So the answer is (3.55, -6.55). The correct option is A).

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Answer: (READ IT ALL PLS)

56.8

Convert  56.8

☆*: .｡. ``.｡.:*☆

5680

Step-by-step explanation:

I'm not really sure, Because I don't get the

way you explained it. But I hope it helps.

: )

An equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers is 10t = b - 4.

An equation with t and b that describes this situation is 8t + 12b = 348.

An equation that shows this substitution is 8t + 12(10t + 4) = 348.

The value of b is equal to $27.4.

The amount of money which the school paid for a set of beakers is $27.4 and $2.34 for a pack of test tubes.

In order to write a linear equation to describe this situation, we would assign variables to the cost of a pack of test tubes and the cost of a set of beakers respectively, and then translate the word problem into a linear equation as follows:

Since a pack of 10 test tubes costs $4 less than a set of nested beakers, a linear equation which can be used to model the cost of a pack of test tubes with respect to the cost of a set of beakers is given by;

10t = b - 4    .....equation 1.

For t and b, a linear equation which can be used to model the total cost is given by;

8t + 12b = 348      .....equation 2.

By making b the subject of formula in equation 1, we have;

b = 10t + 4

By substituting the value of b, we have;

8t + 12(10t + 4) = 348

8t + 120t + 48 = 348

128t = 300

t = 2.34

b = 10(2.34) + 4

b = 27.4

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The area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.

The new shape will have a square region of 3 cm by 3 cm covered from one of the rectangles which will be under, so the area of the new shape is calculated as follows:

area of one identical rectangle = 8 cm × 5 cm

area of one identical rectangle = 40 cm²

area of the square region under = 3 cm × 3 cm

area of the square region under = 9 cm²

Area of the new shape = 40 cm² + (40 cm² - 9 cm²)

Area of the new shape = 40 cm² + 31 cm²

Area of the new shape = 71 cm²

Therefore, the area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.

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Step-by-step explanation:

y = a(x-3)(x+1)         sub in the given point to calculate 'a'

-10 = a( 1-3)(1+1)

-10 = -4a

a = 2.5

then    y = 2.5 ( x-3)(x+1)   = 2.5 x^2 -5x -7.5