Consider y=1/2x+1. a. Complete the table for the equation. x y 0 2 4

Answer:

The answer is 2x+48

Step-by-step explanation:

1: Distribute

6(3x+4)-4(2x-6)-8x

18x + 24 - 4(2x-6)-8x

2: Distribute

18x + 24 - 4(2x-6)-8x

18x + 24 - 8x + 24 - 8x

3: Add the numbers

18x + 24 - 8x + 24 - 8x

18x + 48 - 8x - 8x

4: Combine like terms

18x + 48 - 8x - 8x

2x+48

Solution:

2x+48

just the red one, because if we reflect the triangle by the yellow line we won't get the same the same position of triangle

9514 1404 393

Answer:

  x^3 -6x^2 +5x +12

Step-by-step explanation:

The distributive property is helpful for this.

  (x -4)(x^2 -2x -3) = x(x^2 -2x -3) -4(x^2 -2x -3) . . . . distribute x -4

  = x^3 -2x^2 -3x -4x^2 +8x +12 . . . . distribute x and -4

  = x^3 -6x^2 +5x +12 . . . . . collect terms

Since the obtained Chi square (23.45) is greater than the critical Chi square (9.488), we can conclude that there is a significant relationship between marital status and church attendance.

A Chi square test is used to determine whether there is a significant association between two categorical variables. In this case, the variables are marital status and church attendance.

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The correct equation that models the situation is option C: 1.06(34.50d) + 10.50 = 193.35.

This is because the rental company charges $34.50 per day plus a tax of 6%, which is represented by multiplying 34.50 by 1.06. The one-time fee of $10.50 is then added to the total cost.

To find the total cost of renting for d days, we need to multiply the daily rate by the number of days, which gives 34.50d. Then, we add the tax by multiplying this amount by 1.06. Finally, we add the one-time fee of $10.50.

Putting all of this together, the equation is:

1.06(34.50d) + 10.50 = 193.35

Simplifying, we get:

36.57d + 10.50 = 193.35

Subtracting 10.50 from both sides, we get:

36.57d = 182.85

Dividing by 36.57, we get:

d ≈ 5

Therefore, the customer rented the car for 5 days.

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Answer:

Option 2 : 80x - 460 = 300 is the correct answer.

Step-by-step explanation:

Given that:

$400 box was purchased at $5 per shirt.

Number of shirts = \(\frac{400}{5}\) = 80 shirts

Profit to make = 300

Cost of advertising = $60

Total cost = 400+60 = $460

Let,

x be the cost per shirt that should be set by Robotics club.

Total selling price - production cost = Profit

80x - 460 = 300

Hence,

Option 2 : 80x - 460 = 300 is the correct answer.

"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."

To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.

By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix

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Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

3

Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll

Answer:

\(LO = OT = 8cm\)

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

\(LO + OT = LT\)

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

\(OT + OT = LT\)

\(2OT = LT\)

Divide both sides by 2

\(OT = \frac{1}{2}LT\)

Substitute 16cm for LT

\(OT = \frac{1}{2} * 16cm\)

\(OT = 8cm\)

Recall that LO = OT

So;

\(LO = OT = 8cm\)

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.

It follows from the task content that the second number in an ordered pair represents what coordinates as required to be determined.

Recall that an ordered pair of coordinates usually takes the form; (x, y) in which case, x which is the first number represents the x-coordinate while y, which is the second number represents the y-coordinate.

On this note, the two blanks in the given sentence to be completed are best filled with; "second number" and y-axis respectively.

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Step-by-step explanation:

a) We can use the formula:

Amount earned per day = Amount kept + Amount given away

where "Amount earned per day" is the amount Tom earns in one day, "Amount kept" is the amount Tom keeps for himself each day, and "Amount given away" is the amount Tom gives to his mom each day.

Using the given information, we can plug in the values:

$40 = Amount kept + $8 x 4

Simplifying this equation, we get:

$40 = Amount kept + $32

Subtracting $32 from both sides, we get:

$8 = Amount kept

Now, we need to find the amount Tom gets paid each hour, which we can represent as "h". We know that Tom works 4 hours a day, and for each hour he works, he puts $8 aside for his mom. Therefore, the amount he earns each day can be expressed as:

Amount earned per day = h x 4

We also know that Tom keeps $8 for himself each day, so we can rewrite the equation as:

Amount earned per day = Amount kept + Amount given away

h x 4 = $8 + Amount given away

Substituting the value we found for "Amount kept", we get:

h x 4 = $8 + Amount given away

h x 4 = $8 + $32

h x 4 = $40

Dividing both sides by 4, we get:

h = $10

Therefore, Tom gets paid $10 per hour.

Answer:

31 pounds

Step-by-step explanation:

i just did it

Hey there!

3.0 * 10^8

= 3.0 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10

= 3.0 * 100 * 100 * 100 * 100

= 3.0 * 10,000 * 10,000

= 3.0 * 100,000,000

= 300,000,000

Therefore, your answer is:

300,000,000

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

A) note that the above graph is attached accordingly including at least 5 points and the vertex.

(-4, -3)

(-3, 0)

(-2, 1)

(-1, 2)

(0, 1)

(1, 0)

B) The function f(x) is a reflection of the parent function y=|x| over the vertical axis, shifted one unit to the left and two units up.

C) The domain of f(x) is all real numbers since the absolute value of any real number is always non-negative.

The range of f(x) is from negative infinity up to (but not including) 2, since the highest value f(x) can attain is 2 due to the vertical shift of the function, and it can take on any value less than 2 (down to negative infinity) due to the reflection and vertical stretching of the absolute value function. In interval notation, the range can be expressed as (-∞, 2).

D) The vertex of the function f(x)=-|x+1|+2 is (-1, 2)

A domain is the set of all possible input values for a function. It specifies the range of values over which the function is defined.

Vertex is the point on the graph of a parabolic function that represents either the maximum or minimum value of the function. It is also known as the "turning point" of the function.

A Parent function is basic or "template" function that represents a particular type or family of functions. It can be transformed to create various related functions.

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Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

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Answer:

16m²

25m²

9m²

Step-by-step explanation:

4 × 4 = 16m²

5 × 5 = 15m²

3 × 3 = 9m²

Answer:

True

Step-by-step explanation:

Answer: see the attachment

Step-by-step explanation:

h = # of hours worked

{10h and {15(h-40)+400 are both functions i.e. simplified equations

simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better

to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7.  if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).

part b and c is just setting the functions.

so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.

part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18

Answer:

Step-by-step explanation:

hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi

area of triangle = 0.5×6×14.4 = 43.2 mi²

radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

1. The relationship between number of towers and number of customers is proportional.

2. When there are 576 towers, the number of customers that the company is 27648 customers.

From the information, the table shows the number of cell phone towers a company will build as the number of its customers increases.

When there are 5.25 towers, the customers are 252. This will be:.

= 252 / 5.25

= 48

Also, when it's 6.25, the customers are 300. This will be:

= 300/6.25

= 48

Therefore, there's a constant value of 48. This illustrates proportionality.

When there are 576 towers, the number of customers that the company have will be:

= 576 × 48

= 27648

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Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

<95141404393>

Answer:

\(\sqrt{5\) = 2.23606797...

\(\sqrt{6}\) = 2.44948974...

\(\sqrt{7}\) = 2.64575131...

\(\sqrt{8}\) = 2.82842712...

Answer:

20 units

Step-by-step explanation:

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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The differential equation that satisfies the given amount of investment is A'(t) = rA(t)

Let the rate of investment = r

The amount of investment must satisfy the differential equation

A'(t) = r A(t)

Initial condition is the value of A(t) at t = 0

No compounding will be applied at t = 0 and the amount is equal to the original amount invested, known as principal.

If the Principal amount is P, then the initial condition is A(0) = P

Hence, the differential equation is A'(t) = rA(t)

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