Rewrite 1 1/5 using fifths
1 1/5 - 1/3
= __ /__ - 1/3

Answer:

\(x = 9.69in \)

\(x = 9.7in\)

\(x = 9.7in\)

If Addison owns a take out and for every delivery he charges $10, he wants to make at least $250 as daily sales figure. How much delivery must he make daily in order to achieve this?

This is because when you see the expression "at least," that implies that Addison wants to make $250 or anything above that, and nothing less than that. The expressions at least, at most, greater than and less than all denote an inequality.

At least 250 as sales means Addison wants to make 250 or anything greater than that.

The solution therefore is shown below;

If x is less than or equal to 25 (as shown in the solution), this means Addison must make 25 deliveries daily

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

The area under the probability density function within one standard deviation of the mean is approximately 0.6826.

What is probability?

Probability is the measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability density function f(x) is defined as:

f(x) = 1/4x for 1 ≤ x ≤ 2

= 0 otherwise

To find the area under the function within one standard deviation of the mean, we first need to find the mean and standard deviation of the function.

The mean, or expected value, of a continuous probability density function is given by:

μ = ∫xf(x)dx

Substituting f(x) into the above formula, we get:

μ = ∫1² (1/4x) dx = (1/4)ln(2) ≈ 0.1733

Next, the variance of the probability density function is given by:

σ² = ∫(x-μ)²f(x)dx

Substituting f(x) and μ into the above formula, we get:

σ² = ∫1² [(x-0.1733)²/4x] dx ≈ 0.0396

The standard deviation is then given by:

σ = √(σ²) ≈ 0.1990

Within one standard deviation of the mean, the area under the probability density function is given by:

\($P(\mu-\sigma \leq x \leq \mu+\sigma) = \int_{\mu-\sigma}^{\mu+\sigma}f(x)dx$\)

Substituting μ and σ into the above formula, we get:

\($P(\mu-\sigma \leq x \leq \mu+\sigma) =\) \($\int_{0.1733-0.1990}^{0.1733+0.1990} \frac{1}{4x}\ dx$\)

P(μ-σ ≤ x ≤ μ+σ) ≈ 0.6826

Therefore, the area under the probability density function within one standard deviation of the mean is approximately 0.6826.

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Step-by-step explanation:

2 hours and 45 minutes.

8:45am + 2 hours = 10:45am

10:45am + 45 minutes = 11:30 am

Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer:

3) 146 degrees

4) 471 degrees

5) x = 100 and 3x = 300

Step-by-step explanation:

all three are polygons whose sum of all interior angles can be found by using the formula (n - 2)*180 where 'n' refers to the number of sides

In #3 and 5 there are 5 sides, so (5 - 2)*180 = 3(180) giving a total of 540 degrees. Add all known angles and deduct from 540.

#4 has 7 sides, so (7 - 2)*180 = 1260 degrees. Add all known angles and deduct sum from 1260.

#5 Add all integers plus 'x' + '2x' to get 240 + 3x = 540

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

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The sum diverges (integral test). We have

\(\displaystyle \sum_{n=2}^\infty \frac3{2n} \ge \int_2^\infty \frac3{2x}\,\mathrm dx\)

and the integral diverges, so the sum also diverges.

\(\displaystyle\int_2^\infty\frac3{2x}\,\mathrm dx = \lim_{x\to\infty}\frac32\ln|x| - \frac32\ln(2) = \infty\)

Answer:

Width=56 yards

length=224 yards

Step-by-step explanation:

let:

Width=x

length= x*4= 4x

perimeter = 2*x + 2*4x

working

\((x \times 2) + (4x \times 2) = 560\)

\(2x + 8x = 560\)

\(10x = 560\)

\( \frac{10x}{10} = \frac{560}{10} \)

\(x = 56\)

\(4x = 56 \times 4 = 224\)

width =56 yards

length = 224 yards

The value of x is x = -3.

What is solving an equation?

Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.

Consider the given equation,

27 = (1/3)^x

This equation can be written as,

\(27 = \frac{1^x}{3^x}\)

Here 1^x

1\(27 = \frac{1}{3^x}\)

Take 3^x on numerator.

\(27 = 3^-^x\)

Now 27 can be written as,  \(27 = (3)(3)(3) = 3^3\)

⇒ \(3^3 = 3^-^x\)

Applying the exponent rule: \(a^b=a^c\) ⇒ b = c

So we get,

3 = -x

Multiply both sides by -1.

-3 = x

x = -3

Hence the value of x is x = 3.

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Answer:

3x-4

Step-by-step explanation:

\((12x^2-13x-4)\div(4x+1)= \\\\(3x-4)(4x+1)\div (4x+1)= \\\\3x-4\)

Hope this helps!

The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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9514 1404 393

Answer:

  3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

  \(175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}\)

It will take 3.08 hours to travel 175 miles at that speed.

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer: 58.72 degrees Celsius.

Step-by-step explanation:

We can use the following formula to estimate the temperature of the coffee when t = 10:

T(t) = T(room) + [T(initial) - T(room)] * e^(-r(t) * t)

where T(t) is the temperature of the coffee at time t, T(room) is the temperature of the room, T(initial) is the initial temperature of the coffee, and r(t) is the rate of change of the coffee's temperature.

Substituting the given values, we get:

T(10) = 20 + [90 - 20] * e^(-(-7 e^(-0.1 * 10)) * 10)

T(10) = 20 + 70 * e^(0.7)

T(10) ≈ 58.72 degrees Celsius (rounded to two decimal places)

Therefore, the estimated temperature of the coffee when t = 10 is 58.72 degrees Celsius.

The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

Answer:

the first one i did it yesterday

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2

Answer:

distance between these point is 8

Step-by-step explanation:

d=

\( \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} \)

Answer:

8 is the distance between them

FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2

Step-by-step explanation:

Answer:

2 1/2 + b = 4 2/3

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Answer:

Step-by-step explanation:

Which price gives the store the maximum amount of revenue, and what is the ... When graphing the function f(x)=-x+5+12 on your graphing calculator, what is the ... Based on the graph, how many real number solutions does the equation x3 + ... is challenged to a game by a classmate, which statement below is correct in all ...

Missing: 836 ‎| Must include:

Answer:

none will be left over

Step-by-step explanation:

Which price gives the store the maximum amount of revenue, and what is the ... When graphing the function f(x)=-x+5+12 on your graphing calculator, what is the ... Based on the graph, how many real number solutions does the equation x3 + ... is challenged to a game by a classmate, which statement below is correct in all ...

Answer: x=30

Step-by-step explanation:

6x-5+z-25=180

7x+210

x=30