A 3foot wide sidewalk surrounds a rectangular flower bed. The flower bed is 8feet wide and 10 feet long.

The estimated per unit selling price of the new line of clothing is $X.

What is the estimated per unit selling price of the new line of clothing?

The estimated per unit price selling for the new line of clothing can be determined by considering various cost factors.

Using the 80% learning curve, the direct labor cost is calculated based on the time required to complete the 50th item, derived from the time for the first item.

This labor cost is obtained by multiplying the time for the 50th item by the direct labor rate. The total manufacturing cost includes the direct labor cost, production material cost, factory overheads (125% of direct labor), and packing costs (75% of direct labor).

Finally, a desired profit of 20% of the total manufacturing cost is added to determine the unit selling price. This estimation encompasses the expenses related to labor, production materials, factory overheads, packing, and desired profit margin.

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The triangle with maximum area has a height of 11 cm and a base of 11 cm.

To find the dimensions for which the area of the triangle is a maximum, we can use the formula for the area of a triangle, which is A = 1/2 * b * h, where A is the area, b is the base, and h is the height.

Since we know that the sum of the base and height is 22 cm, we can express the base in terms of the height as b = 22 - h.

Substituting this expression for b into the formula for the area, we get A = 1/2 * (22 - h) * h.

To find the maximum value of A, we need to find the value of h that maximizes the expression 1/2 * (22 - h) * h. We can do this by taking the derivative of the expression with respect to h, setting it equal to zero, and solving for h.

Differentiating the expression with respect to h, we get dA/dh = 11 - h. Setting this equal to zero, we get 11 - h = 0, which implies h = 11.

Therefore, the maximum area of the triangle is achieved when the height is 11 cm and the base is also 11 cm (since the sum of the height and base is 22 cm).

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Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

Answer: 5 \(\frac{9}{16}\) gallons

Step-by-step explanation:

   To find the total volume, we will add together all the paint values.

3/16 gallons + 1/4 gallons + 5 1/8 gallons = 5 9/16 gallons

3/16 gallons + 4/16 gallons + 5 2/16 gallons = 5 9/16 gallons

The equation of the graph of the function g(x) is -√(x-7).

Turns are frequently used to refer to reflection, which is when an object is flipped over a line without affecting its size or shape. The preimage is flipped over a line in a rigorous transition known as a reflection, but its size and shape are left unchanged. Flips is another name for reflections.

A figure can be translated if it is moved in any direction without altering its size, form, or orientation. A hard transformation called a translation alters the preimage's position but not its size, shape, or orientation. Slides are another name for translations.

Given that, f(x)= square root of x, that is:

f(x) = √x

Reflect the graph over x-axis we have:

Reflecting f(x) across the x-axis gives us -f(x) = -√x.

Translating -f(x) = -√x 7 units to the right gives us -f(x-7) = -√(x-7).

Hence, the equation of the graph of the function g(x) is -√(x-7).

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The measure of the complement of angle is 45 degrees.

Let's call the measure of the angle "x". The complement of the angle is defined as 90 degrees minus the measure of the angle, so the complement of the angle is 90 - x.

If the measure of the angle is less than its complement, then we can write the following inequality:

x < 90 - x

Now we can isolate x by subtracting x from both sides:

0 < 90 - 2x

And then dividing both sides by -2:

0 > -45 + x

Finally, subtracting x from both sides:

-x > -45

So, we have:

x < 45

So, the complement of the angle is 90 - x, which is greater than 90 - 45 = 45 degrees.

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Answer:57

Step-by-step explanation:180-123 I hope i have helped u have a wonderful day or night!

Answer:

45

Step-by-step explanation:

All angles of a triangle should add up to 180

35 + 80 + 45 = 180

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

B. -5

Step-by-step explanation:

3x-1 > 4x-6

   +1

3x>4x-5

     -4x

-x>-5

/-1   /-1

x>-5

The curved surface area of the cylindrical container is approximately 6782.3 \(cm^2.\)

To calculate the curved surface area of a cylindrical container, we need to find the lateral surface area.

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height of the cylinder.

In this case, the radius of the cylindrical container is 30 cm and the height is 36 cm. Plugging these values into the formula, we have:

Lateral surface area = 2π(30 cm)(36 cm)

= 2160π cm².

The curved surface area of the cylindrical container is approximately 6782.4 .\(cm^2.\)

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As per the given proof it is showed that the equations of quadratic equation can be written in the form of perfect square trinomial.

Basically it is the polynomial having degree 2.

it is generally represented in the format f(x) =  ax²+ bx + c

The quadratic expression of the general form is given by :

f(x) =  ax²+ bx + c

(b) To complete the square:

Divide the equation through by a , the equation then becomes

f(x)= x² +b/a x  + c/a

At this point, you are require to

(i) Multiply the coefficient of x by 1/2

(ii) Square the obtained result

(iii) Add the result to both sides of equation , we get

f(x) =  x²+ bx/a  + (b/2a)² + c/a  + (b/2a)² by completing the square , we get

f(x) = (x + b/2a)² + c/a  - b²/ 4a² . We do this in order to make the expression balanced

(c) Using the order of operation to turn the expression back into standard form

i. Expanding the function in the bracket , we have

f(x) =  x²+bx /a  + (b/2a)²  + c/a - b² / 4a²

⇒ f(x) =  x²+bx /a  + (b/2a)²  + c/a - b² / 4a²  

⇒f(x) =   x²+ bx /a  + c/a

multiply through by the L.C.M , which is a , then we have

f(x) =  ax²- bx + c .

Since the aim of completing square is to make the expression in a  perfect square format , then it will always result in a perfect square trinomial.

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The simple event among the given options is "You get exactly 1 head."

Probability can be defined as the measure of the likelihood of a particular event occurring. Probability ranges between 0 and 1,

The sample space is a set of all possible outcomes of an experiment. In this case, the sample space for flipping a coin 3 times is (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT).

Now the probability of each event by dividing the number of favorable outcomes by the total number of possible outcomes.

A simple event is one that consists of only one outcome. Out of the given options, the only simple event is "You get exactly 1 head," which has the favorable outcome

Therefore, the probability of getting exactly one head is:

P(exactly 1 head) = Number of favorable outcomes / Total number of possible outcomes

P(exactly 1 head) = 3 / 8

P(exactly 1 head) = 0.375 or 37.5%

Thus, the correct answer is: You get exactly 1 head.

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The answer is, the output of the print statement in the given pseudo-code program will be 4.

The output of the print statement in the given pseudo-code program will be 2.

The given pseudo-code program is:

x = sqr(f(1))

print x

def sqr(x)

a = x * x

return a def f(x)

return 2 * x

We need to find the output of the print statement.

For that, we have to look into the program and evaluate the expressions one by one:

At first, we call the function f(1), which returns 2 * 1 = 2.

Then we pass this value 2 to the function sqr().

The function sqr() calculates the square of the input parameter and returns it.

In our case, sqr(2) will return 2 * 2 = 4.

Now we assign this returned value 4 to the variable x , Hence x = 4.

Finally, we print the value of x, which is 4.

Therefore the output of the print statement is 4.

In conclusion, the output of the print statement in the given pseudo-code program will be 4.

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Answer: Square and rectangle

Step-by-step explanation:

Answer:

5/y^3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{AB}{XY}\) = \(\frac{BC}{YZ}\) , substitute values

\(\frac{15}{10}\) = \(\frac{21}{YZ}\) ( cross- multiply )

15YZ = 210 ( divide both sides by 15 )

YZ = 14 → b

The y intercept means that gallons of water in the base year is 10.

Y intercept is a coordinate of y which is the point where the line touches the Y axis.

The x coordinate corresponding to this point will be zero.

Given is a graph which relates the two variables year and the gallons of bottled water per person.

From the graph, it is clear that y intercept is at 10.

It is in the year 1990, which is the base value that we take.

All the other year values are based on the base value.

y intercept means in this context that in the year 1990, which is the initial year, gallons of water per person is 10.

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The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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Answer:

  13.16 miles

Step-by-step explanation:

The attached diagram is a scale representation of the geometry, but shown upside down from the figure given in the problem statement. The tangent ratio is useful for solving this problem, as it relates the legs of the triangle to the angle of interest.

The basic relation is ...

  Tan = Opposite/Adjacent

Applying this to the given angles, we have ...

  tan(36°) = EG/AG . . . . . [eq1]

  tan(43°) = EG/DG = EG/(AG -4) . . . . . [eq2]

Multiplying both equations by their denominators, we can eliminate the fractions:

  AG·tan(36°) = EG . . . . . [eq3]

  (AG -4)·tan(43°) = EG . . . . . [eq4]

Equating expressions for EG, we have ...

  AG·tan(36°) = (AG -4)·tan(43°)

  4·tan(43°) = AG(tan(43°) -tan(36°))

  AG = 4·tan(43°)/(tan(43°) -tan(36°)) . . . . . [eq5]

Substituting into [eq3], we find ...

  EG = 4·tan(36°)·tan(43°)/(tan(43°) -tan(36°))

  EG ≈ 4(0.72644)(0.93252)/(0.93252 -0.72654) ≈ 13.1573 . . . . miles

The plane is flying at an altitude of about 13.16 miles.

_____

Additional comment

That's about 69,500 feet. The operational ceiling of most passenger aircraft is below 51,000 feet. The U2 reconnaissance aircraft reportedly has a service ceiling of about 70,000 feet.

The 95% confidence interval estimate of the population mean is 98.10< μ < 98.30.

Given that

sample mean = ~x = 95.2

sample standard deviation = s = 0.7

sample size = n = 175

Degrees of freedom = d.f = n - 1 = 175 - 1 = 174

αt /2,d.f = 1.974.

The explanation for step 1

At 95% confidence level

 α= 1-0.95% =1-0.95 =0.05

α /2=0.05/ 2= 0.025

αt /2,d.f = t0.025,174 = 1.974

αt /2,d.f = 1.974

The explanation of Step 2

Margin of error = E = t/2,df x (s /Vn )    =  1.974 x ( 0.7/ V175)   = 0.10

Margin of error = E = 0.10

The 95% confidence interval estimate of the population mean is,

~x- E < μ < ~x + E

98.2 - 0.10< μ < 98.2 + 0.10

98.10< μ < 98.30

Margin of error = E = 0.10

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The reasonable measure of Gabby's distance from the start of the race now is 436 miles.

Given, Gabby is participating in a cross country bake rice. Every 2 hours she travels between 42 and 54 miles.

Four hours ago, Gabby had traveled 52 miles from the start of the race.

To determine which is a reasonable measure of Gabby's distance from the start of the race now, we can use the range of possible distances traveled by Gabby in 4 hours:

Distance travelled by Gabby in 4 hours = (42+54) miles/hour × (4/2) = 192 miles/hour × 2 = 384 miles

Now, we know that Gabby had traveled 52 miles from the start of the race four hours ago.

Therefore, Gabby's distance from the start of the race now = 52 + 384 = 436 miles.

Therefore, option A. 174 miles is not the reasonable measure of Gabby's distance from the start of the race now.

So, the correct option is D. 436 miles.

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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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a) The probability that the proportion of seriously delinquent loans has a rate above 8% is 0.9147 (rounded to 4 decimal places).

b) The probability that the proportion of seriously delinquent loans has a rate between 9.5% and 10.5% is 0.1186 (rounded to 4 decimal places).

a) We have given that the rate of seriously delinquent loans follow a normal distribution with a standard deviation of 0.80%.

Also, it is reported that the rate of seriously delinquent loans has an average of 9.1%. Let P be the proportion of seriously delinquent loans. We are to determine the probability that the proportion of seriously delinquent loans has a rate above 8%.

Now, we have to compute the Z-score associated with P = 8%.

The Z-score is given by:

Z = (P - µ) / σZ = (0.08 - 0.091) / 0.0080= -1.375

From the Z-table, we have

P(Z > -1.375) = 0.9147

b) We are to find the probability that the proportion of seriously delinquent loans has a rate between 9.5% and 10.5%.So, P(9.5% ≤ P ≤ 10.5%) = P(P ≤ 0.105) - P(P ≤ 0.095)

Now, we have to compute the Z-score associated with P = 10.5%.

The Z-score is given by:

Z = (P - µ) / σZ = (0.105 - 0.091) / 0.0080= 1.750 And, we have to compute the Z-score associated with P = 9.5%.The Z-score is given by:Z = (P - µ) / σZ = (0.095 - 0.091) / 0.0080= 0.500

So, from the Z-table, we have:

P(P ≤ 0.105) = 0.9599 and P(P ≤ 0.095) = 0.8413

Therefore, P(9.5% ≤ P ≤ 10.5%) = P(P ≤ 0.105) - P(P ≤ 0.095)= 0.9599 - 0.8413= 0.1186

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By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = \(\frac{1}{50}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  \(\frac{1}{50}\)

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Answer:

the 4th one

Step-by-step explanation:

it says "maximum" and maximum is equal to or more than.

Without even reading the rest of the question, you should be able to tell that the answer is 3x + 3.50y ≤ 50.

This symbol ≤ means "less than or equal to." In the question, it mentions that he has a maximum of $50 to spend which tells us that the cost has to be less than $50 but can be exactly $50.

You can then use the other information to verify your answer. Lilies are represented by the variable \(x\) and costs $3.00 each, so it makes sense that the formula says \(3x\). Roses on the other hand is represented by the variable \(y\\\) and costs $3.50 each, so it makes sense that the formula says \(3.50y\).

Answer:

0.0000614

Step-by-step explanation:

Since it’s a -5 it’s 5 places back

Hope this helps! ;-)

The possible ordered pairs set for the values in domain D is {(-6,11),(-5,9),(-2,3),(0,-1),(1,-3)}. The above graph shows the plot of these ordered pairs.

We have given that

y = -2x - 1 --(1)

Domain , D = {-6, -5, -2, 0, 1}

now, we find out the values of y for corresponding to given domain value.

y = -2(-6) -1 = 11

the first ordered pair is (-6,11).

y = -2(-5) - 1 = 9

The second order pair is (-5,9).

y = -2(-2) - 1 = 3

The third ordered pair is (-2,3).

y = 0 -1 = -1

The fourth ordered pair is (0, -1).

y = -2(1) - 1 = -3

The fifth ordered pair is ( 1, -3).

Now, we get all the possible ordered pairs from domain for plotting.

We can easily plot these points on 2-D graph taking y values on y-axis and domain points on x-axis.

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Complete question:

Use the drawing tools to form the correct answers on the graph. Consider this linear function: y = -2x - 1

Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1} Drawing Tools Click on a tool to begin drawing. (Plato)