The area of a rectangular rug is give. By trinomi r^2-2r-35 what are possible dimensions of the rug

Answer:

5

Step-by-step explanation:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

Answer:20

Step-by-step explanation: Do 15-5=10 then plug in 8 as p then subtract 8 from 6which is 2 .Lastly times 10 by 2 which gives you 20.

I hope it helps :)

Answer:

\(Area = 24.8 cm^2\)

Step-by-step explanation:

Given

\(PQ = 4.9cm\)

\(RQ = 11 cm\)

\(<Q = 113\ degrees\)

Required

Find the area of the triangle

When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;

\(Area = \frac{1}{2}ABSinC\)

Where A and B are the two known sides and C is the angle between A and B

Having said that;

The area of the triangle is calculated as thus;

\(Area = \frac{1}{2} * RQ * PQ * SinQ\)

\(Area = \frac{1}{2} * 11 * 4.9 * Sin113\)

\(Sin113 = 0.9205\)

Hence, the equation becomes

\(Area = \frac{1}{2} * 11 * 4.9 * 0.9205\)

\(Area = \frac{11 * 4.9 * 0.9205}{2}\)

\(Area = \frac{49.6152}{2}\)

\(Area = 24.8076\)

\(Area = 24.8 cm^2\) --- Approximated

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

If you're asking for the new price, just find 5% of $75.

$75 * 0.05 = $3.75

The final result of the given expression is 49.4.

Part A: In  the missing expression should be the result of squaring three and adding four.

This is because the expression in Step 2 states "the quantity of the sum of three squared plus four divided by 0.25.

" Therefore, to continue simplifying the expression, we need to evaluate the value of the sum of three squared plus four.

The quantity of \((3^2 + 4)\) divided by 0.25

To solve Step 3, we first evaluate the expression inside the parentheses:

\(3^2 + 4 = 9 + 4 = 13\)

So, Step 3 becomes:

The quantity of 13 divided by 0.25

Part B: In the missing expression should be the result of dividing 13 by 0.25.

This is because in Step 4, the expression is "the quotient of the quantity 13 divided by 0.25 end quantity minus 10.4 divided by 4."

To simplify further, we need to calculate the value of 13 divided by 0.25.

13 divided by 0.25

To solve Step 6, we perform the division:

13 ÷ 0.25 = 52

So, it becomes:

52 minus 10.4 ÷ 4

Following the remaining steps:

52 minus (10.4 ÷ 4) = 52 - 2.6 = 49.4

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Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

Two scenarios that create right angle are 3 and 4.

In both the situations, Pythagoras theorem get satisfy with the sides which theorem is only applicable when there is right angle in the triangle.

Here's the explanation using 3 as an example :

From the statement we can assume that height of the window as the perpendicular(P) and distance from base(B) of the building to William as base of the triangle and line distance from Tom to William as hypotenuse(H) of the triangle.

Therefore, H = 130, B= 36.4 and P = 124.8

By Pythagoras theorem,

H² = P² + B²;

130² = 124.8² + 36.4²,

16900 = 15575.04 + 1324.96,

16900 = 16900

Hence satisfy the Pythagoras theorem, therefore triangle is right angle.

Similarly for the 4 statement.

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Answer:

392

Step-by-step explanation:

1 cm is 56, you would multiply that by 7 to get 392.

The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

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Answer:

6x+5 that's the answer what I have

By taking out the area of the award and the box, we know that 120>72, and hence the award will fit inside the box.

A patch's area on a surface determines how big it is.

Whereas a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Another option is to plot the shape on a grid and count the squares: The rectangle's surface area is 15.

For instance, the area is 15 m2 if each square is one meter in size (15 square meters)

So, the area of the triangle to get the area of the award:

= 1/2 * b * h

= 1/2 * 12 * 12

= 1/2 * 144

= 72cm²

Now, the area of the rectangle to get the area of the box:
= l*b

= 12*10

= 120cm²

Now, we know that 120>72 and so the certificate will fit inside the box,

Therefore, by taking out the area of the award and the box, we know that 120>72, and hence the award will fit inside the box.

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Answer:H = 3 + 0.5x

Step-by-step explanation:

This would be H = 3 + 0.5x

Answer:

Weight Calculator

Standard conversion factors.

1) MILD STEEL (MS)

MS SQUARE. WEIGHT (KGS ) = WIDTH X WIDTH X 0.00000785 X LENGTH. ...

MS ROUND. WEIGHT (KGS ) = 3.14 X 0.00000785 X ((diameter / 2)X( diameter / 2)) X LENGTH. ...

SS ROUND. DIA (mm) X DIA (mm) X 0.00623 = WEIGHT PER METRE. ...

SS / MS CIRCLE. ...

SS sheet. ...

S.S HEXAGONAL BAR.

Step-by-step explanation:

Answer:

the answer is x=7

Step-by-step explanation:

trust me or you will go bald

Answer:

Step-by-step explanation:

Haa

Answer:

10

Step-by-step explanation:

6 3/4 ÷ 3/4 = 9, and plus the sign at the start of the road it would be 10

hope this helps :)

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

24

Step-by-step explanation:

\(f(x) = 4x \\ \\ substitute \: x = 6 \\ \\ f(6) = 4(6) = 24\)

The factors of the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that is true for f (9) = 0 are (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32).

The factor theorem states that: if p(x) is divisible by x - a if and only if p(a)=0.

The polynomial expression x^5 - 7x - 22x³ + 44x² - 104x + 288 and f (9) = 0, then x - 9 = 0 is a factor. Applying long division as follows;

x^5 divided by x equals x⁴

x - 9 multiplied by x⁴ equals x^5 - 9x⁴

subtract x^5 - 9x⁴ from x^5 - 7x - 22x³ + 44x² - 104x + 288 will result to 2x⁴ - 22x³ + 44x² - 104x + 288

2x⁴ divided by x equals 2x³

x - 9 multiplied by 2x³ equals 2x⁴ - 18x³

subtract 2x⁴ - 18x³ from 2x⁴ - 22x³ + 44x² - 104x + 288 will result to -4x³ + 44x² - 104x + 288

-4x³ divided by x equals -4x²

x - 9 multiplied by -4x² equals -4x³ + 36x²

subtract -4x³ + 36x² from -4x³ + 44x² - 104x + 288 will result to 8x² - 104x + 288

8x² divided by x equals 8x

x - 9 multiplied by 8x equals 8x - 72x

subtract 8x - 72x from 8x² - 104x + 288 will result to - 32x + 288.

-32x divided by x equals -32

x - 9 multiplied by -32 equals -32x + 288

subtract -32x + 288 from- 32x + 288 will result to a remainder 0(zero).

We can then conclude the factors (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32) are the product of linear factors for the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that makes it zero.

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If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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What was the question you posted? maybe I can help.

Answer: the answer is 14 R0

Step-by-step explanation: if i wanted it to be simpler, 2 times what =28. And that number is 14.

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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The correlation that demonstrates the weakest correlation between two variables is option a) +.20.

Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.

In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.

Let's analyze the options provided:

a) +.20:

This indicates a positive correlation, but the value is relatively small (0.20).

It suggests a weak positive relationship between the variables.

b) -50:

This option appears to be a typographical error since the correlation coefficient cannot be negative 50.

Assuming it is meant to be -0.50, this indicates a moderate negative correlation.

c) +.75:

This option represents a strong positive correlation.

With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.

d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.

Assuming it is meant to be -0.76, this indicates a strong negative correlation.

Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.

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Answer: =4.4n-13

Step-by-step explanation:

Let's simplify step-by-step.

2n−9−(−2.4n+4)

Distribute the Negative Sign:

=2n−9+−1(−2.4n+4)

=2n+−9+−1(−2.4n)+(−1)(4)

=2n+−9+2.4n+−4

Combine Like Terms:

=2n+−9+2.4n+−4

=(2n+2.4n)+(−9+−4)

=4.4n+−13

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00