Does this represent a function?

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

All angles in a triangle must add up to 180 degrees. The missing angle in the triangle is 34 degrees. We can then subtract 34 from 180 to find x because a straight line is 180 degrees. 180 - 34 = 146. x = 146 degrees.

Answer:

(. A. )729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd10 + d^12

Step-by-step explanation:

BRAINLIEST PLEASE? :,)

Answer:

Answer is A. 729c6 + 1,458c5d2 + 1,215c4d4 + 540c3d6 + 135c2d8 + 18cd10 + d12

Step-by-step explanation:

got it right on edge

-x10−x+3=0

x≈−1.1530188,1.06806865

The quadilateral MNOP has been rotated clockwisely by 90 degrees

The coordinates of the rotated shape are

Mi (4, -2)

Ni (1. -3)

Oi(0, -1)

Pi (2, 0)

Answer:

c

Step-by-step explanation:

In a month with 3 inches of rain, 50,000 gallons of water will be used for irrigation at the pistachio orchard.

The general variation equation for an inverse variation relationship is:

y = k/x

In this equation, y represents the dependent variable (amount of water used for irrigation), x represents the independent variable (amount of rainfall), and k is the constant of variation.

In the given scenario, the amount of water used (y) is inversely proportional to the amount of rainfall (x). We are given that they use 30,000 gallons of water when there are 5 inches of rain. Plugging these values into the general variation equation, we get:

30,000 = k/5

To find the value of k, we can solve for it by multiplying both sides of the equation by 5:

k = 30,000 * 5 = 150,000

Now that we know the value of k, we can use the general variation equation to find the amount of water used in a month with 3 inches of rain:

y = 150,000/3

Simplifying this, we find:

y = 50,000

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Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: \(y-y_1=m(x-x_1)\)

2. (Plugging in values)

Therefore, one equation of the line is y - 7 = 6(x - 2).

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

I don't know the answer please

Answer:

This is an Acute triangle because all 3 angles are less than 90

Answer:

what is the full number supposed to be when you add the a and b together?

Answer:

A. (16-12)

Step-by-step explanation:

16-12

Answer

=4

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=$127.03

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = (\(\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}\))

M = \((\frac{1.4}{2}, \frac{-2}{2})\)

M = (0.7, -1)

The correlation coefficient, denoted by r, measures the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

The formula for the correlation coefficient r between two variables x and y is:

r = Cov(x, y) / (sqrt(Var(x)) * sqrt(Var(y)))

where Cov(x, y) is the covariance between x and y, Var(x) is the variance of x, and Var(y) is the variance of y.

Using the given information, we can substitute the values into the formula to get:

r = -50 / (sqrt(36) * sqrt(81))

r = -50 / (6 * 9)

r = -50 / 54

r = -25/27

Therefore, the correlation between x and y is -25/27. This indicates a strong negative linear relationship between the two variables.

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Answer:

Rate of sales tax = 6% of $60

Sales tax = \(\frac{6}{100}\) × 60

               = $3.60

Answer:

given below

Step-by-step explanation:

These are fractions problems .

If you have 12 eggs and you need 1/6 then

12* 1/6= 12/6= 2 eggs

Similarly if you need 1/3,1/4, 1/2

12 * 1/3= 12/3= 4 eggs

12 * 1/4 = 12/4= 3 eggs

12 * 1/2 = 6 eggs

These can be drawn in sets of 12.

from the picture we see that dividing the 12 eggs in two parts and coloring one part gives 6 eggs.

Similarly dividng the 12 eggs in three parts and coloring one part gives 4 eggs.

The fractions 1/3,1/4,1/2 or 1/6 means dividing the 12 eggs into 3,4,2, or 6 parts and obtaining 1 part out of it.

Answer:

-24

Step-by-step explanation:

-2×4= -8

-8×3= -24

-24×1= -24

I hope this helps ^-^

Hi, there!

 ________

\(\textsc{key:}\)

. . . . . . . . . . . . .

The formula is

\(\longrightarrow\Large\boxed{A=\dfrac{r^2\theta}{2}}\)

. . . . . . . . . . . . . . .

Here

» A=Sector Area, or arc length

» r is the radius (it's squared‼)

» θ is the angle

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Now, we can substitute our parameters, and work out the answer.

\(\bf{A}\sf{=\dfrac{12^2\times65}{2}}\)

\(\bf{A}\sf{=\dfrac{144\times65}{2}}\)

\(\bf{A}=\sf{\dfrac{9360}{2}\)

\(\bf{A}=\sf{4,680 \ centimeters^2}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                     \(\tiny \boldsymbol{Frozen \ melody}\)

The number which corresponds to the point B is (option b) 4.328.

Given,

A number line 4 to 5 partitioned into tenths. ( image is attached below)

There are 4 red dots:

We have to plot the number corresponding to the point B.

Let's go through the options:

a) 4.009 : This would be between 4 and 4.1. That is, point A.

b) 4.328 : This would be between 4.3 and 4.4. That is, point B.

c) 4.43 : This would be between 4.4 and 4.5

d) 4.77 : This would be between 4.7 and 4.8. That is, point D.

So, the number which corresponds to the point B is (option b) 4.328.

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My Assuming Answer;

OPTION B;

4.328

Add-ons;

Hey again! Here's an answer to your question :) Thanks for giving that recipe. Have a nice day.

Answer:

x = 3.2

Explanation:

when y = 1

1 = x²-2x-3

x²-2x-3-1 = 0

x²-2x-4 = 0

                                      \(x = \frac{ 2 \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2*1}\)

                                               \(x = 1 + \sqrt{5}\)

                                                 x = 3.236

                                                 x = 3.24 in 2 decimal places

                                                 x = 3.2  in nearest tenth

a=-3, b=0, c=15

y-intercept: 15

1) In this quadratic equation, we can tell the following about their coefficients.

2) The y-intercept, in a quadratic equation, is always the coefficient "c". So, we can tell that:

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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The equation of the tangent line to the curve at the given point is given by: y = x + 1.

Now,

Given:

To find: Equation of a tangent line through the given point.

Finding:

y = \(e^{x}\) cos(x)

By product rule of differentiation, y' = \(e^{x} sin(x) +e^{x} cos(x)\)

For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line

Now, we know: equation of a line is given by:

\((y-y_0)=m(x-x_0)\)

For \(x_0 = 0 And y_0 = 1\), The equation of the tangent line will be:

=> y - 1  = 1 (x - 0)

=> y - 1 = x

=> y = x + 1

Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.

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Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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Answer:

x + 2y = 16

2y = -x + 16

\(y = -\frac{1}{2}x + 8\\\)

The slope of the line is \(-\frac{1}{2}\)

Calculate the area of each triangle:

Area of a triangle: 1/2 x base length x heigth

A1 = 1/2 x 8 x 7 = 28

A2 = 1/2 x 9 x 6 = 27

She should buy the second flag (b)

Answer:

258 cm

Step-by-step explanation:

Given:

Distance from the base of the pole to the base of a tent guy line is \(2\frac{1}{2}\)

Length of a tent guy line is 359 cm

To find: Height of the upright tent pole

Solution:

Let AB denotes the pole and AC denotes a tent guy line.

According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

\(AC^2=AB^2+BC^2\)

\(AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm\)

Therefore,

\((359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm\)