Find the value of cos
V
V rounded to the nearest hundredth, if necessary.

Answer:

Step-by-step explanation:

Use distributive property: a*(b - c) = (a*b) -(a*c).

Here, a = 2 ; b = 9p  & c = 1/2

[tex]2*(9p - \dfrac{1}{2})=2*9p-2*\dfrac{1}{2}\\\\\\ = 18p - 1[/tex]

Answer:

7

Step-by-step explanation:

The value of k will translate the graph up k units if k is positive and down k units if k is negative.  To transform f into g line f would translate up 7 units.

Answer:

Area is very commonly used in our world we just may not immediately recognize it. Most if not all construction workers use area to figure out how much Sq feet they have to work with. When decorating your home you need to know how much space is in each room. When installing carpet or hardwood you'll need to figure out the area of your room.

Hopefully this helps!  

Answer:

Two terms ( [tex] x [/tex] and [tex] n [/tex])

Step-by-step explanation:

If simplified it gives 3n+4x+5

And cannot be factored

=======================================================

We're given the following expression:

[tex]\bigstar{\boxed{4x+3n+5}[/tex]

Here,

4x is a term

3n is a term

5 is a term

4 is the coefficient of x

x is a variable

3 is the coefficient of n

n is a variable

5 is a constant

Details:-

A coefficient is a number before a variable

A variable is a letter

A constant is a number without any variables next to it

=========================================================

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

Answer:

12

Step-by-step explanation:

x-4=2(x+8)/5

let's do my favorite strategy: distributive property!

x-4=(2x+16)/5

Now we can simplify.

x-4=(2/5)x+16/5

Let's solve for x!

Subtract 2/5 from both sides

3/5)x=36/5

Now multiply both sides by 5/3, the reciprocal.

You would get 12 as x!

Answer:

3 miles

Step-by-step explanation:

Range is the biggest number minus the smallest number.

First put the distance in order from least to greatest.

4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.

Now subtract the greatest and least amounts.

7 - 4 = 3

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer:

16months

=$1532

Step-by-step explanation:

Daito

780+47x=220+82x

780-220=82x-47x

560=35x

x=16

=16 months

Step-by-step explanation:

180 grams of flour is needed for 20 short bread biscuits to find how many floor is needed per biscuit we divide

since we are find the value of floor per shortbread biscuits we then multiply it by 60

[tex] \therefore [/tex] she needs 540g to make 60 short bread biscuit

~ Done~

Answer:

Smith should use 900 minute plan and Jones should use 1500 minute plan

Step-by-step explanation:

There are best answers

1. Equations/Inequalities for Each Plan:

Plan A: Cost = $39.99 + 0.25 * (m - 450), m ≤ 450

Plan B: Cost = $59.99 + 0.30 * (m - 900), m ≤ 900

Plan C: Cost = $99.99 + 0.35 * (m - 1500), m ≤ 1500

2. Best Plan for Customers:

Customer Smith (750 min): Plan B ($59.99)

Customer Jones (1350 min): Plan C ($84.99)

3. For both customers, Plan B offers the best value for 750 minutes, while Plan C is optimal for 1350 minutes due to its lower cost per minute overages.

4. Plan A is the least cost-effective for both. The chosen plans reflect the importance of base minutes and overage charges.

1. Equations/Inequalities for Each Plan:

Let's denote the number of minutes used as "m."

Plan A:

Cost: $39.99 for 450 minutes, then $0.25/minute for each additional minute.

Equation: Cost = $39.99 + 0.25 * (m - 450), if m > 450

Inequality: m ≤ 450

Plan B:

Cost: $59.99 for 900 minutes, then $0.30/minute for each additional minute.

Equation: Cost = $59.99 + 0.30 * (m - 900), if m > 900

Inequality: m ≤ 900

Plan C:

Cost: $99.99 for 1500 minutes, then $0.35/minute for each additional minute.

Equation: Cost = $99.99 + 0.35 * (m - 1500), if m > 1500

Inequality: m ≤ 1500

2. Determine the Best Plan for Customers:

Let's evaluate the cost for both customers using the given plans:

Customer Smith:

Usage: 750 minutes

Plan A: Cost = $39.99 + 0.25 * (750 - 450) = $112.49

Plan B: Cost = $59.99

Plan C: Cost = $99.99

Best Plan: Plan B ($59.99)

Customer Jones:

Usage: 1350 minutes

Plan A: Cost = $39.99 + 0.25 * (1350 - 450) = $297.49

Plan B: Cost = $59.99 + 0.30 * (1350 - 900) = $374.99

Plan C: Cost = $99.99 + 0.35 * (1350 - 1500) = $84.99

Best Plan: Plan C ($84.99)

3. Explanation and Recommendation:

Customer Smith's usage of roughly 750 minutes falls within the range of Plan B's base minutes (900) and is more cost-effective with Plan B. However, for Customer Jones, who uses around 1350 minutes, Plan C offers a lower overall cost due to its higher base minutes (1500). Plan A is the least cost-effective option for both customers due to its lower base minutes and higher per-minute charges.

4. Summary for Employees:

Dear Team,

When assisting customers with choosing a cell phone plan, please consider the following options:

Plan A: $39.99 for 450 minutes, then $0.25/minute.

Plan B: $59.99 for 900 minutes, then $0.30/minute.

Plan C: $99.99 for 1500 minutes, then $0.35/minute.

For customers using around 750 minutes per month, recommend Plan B for its competitive pricing. For customers using around 1350 minutes, advise them to opt for Plan C to optimize cost efficiency. Always ensure to guide customers toward the most suitable plan based on their usage patterns.

Thank you for your dedication to excellent customer service.

Sincerely,

[Your Name]

[Your Position]

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Answer:

I believe its D

Step-by-step explanation: X and Y are both -3

Answer:

True????????????????????

The statement that "An absolute value inequality can be solved using a union or an intersection depending on which sign it is" is true.

Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.

For example : |x - 5| < 4 is an absolute value inequality.

Given statement is that,

An absolute value inequality can be solved using a union or an intersection depending on which sign it is.

If an absolute value inequality has a sign as "> 0", then the solution contains every real numbers but not values which makes the inequality 0.

in this case, union is used.

Now, if the inequality is "<" or "≤" with a positive number, the we use the intersection.

Hence the given statement is true.

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Answer:

Length: 64

Width = 21 1/3

Step-by-step explanation:

Width = Length 64 * 1/3 Width

Width = 21.3333333 or 21 1/3

Answer:

[tex]l=64 in[/tex]

[tex]w=21.3333in[/tex]

Step-by-step explanation:

[tex]l=3w[/tex]

[tex]\frac{64}{3} =21.3333[/tex]

Answer:

The answer is c on edge or f(x) = 1 sqt x + 6 -2

Step-by-step explanation:

From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.

Given that:

Suppose that x = c is a critical point of (x) then,

If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;

If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;

If f'(x) is the same sign on both sides of x = c;

From the given equation, the critical points: x = -3

If we put the point x = -3 into - |x+3|-2

We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

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Answer:

Final answer -

[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

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Answer:

3

Step-by-step explanation:

Answer:

5 × 30 L = 150 L

______________

Answer:

100

Step-by-step explanation:

its saying 60% of his favorite number is 60

because the numbers are the same that means the number must be 100

Answer:

88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.

Step-by-step explanation:

The fraction 8/9 is equal to .88889, or 88.889%

Likewise, the fraction 1/9  (remainder) is equal to .11111, or 11.111%

By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:

360*8/9 = 320 people right handed.

360*1/9 = 40 people left handed.

Cheers!

Answer:

1000cm

Step-by-step explanation:

there are 100cm in a meter. so we multiply 10 by 100 to get the amount of centimeters in 10 meters which is 1000cm

Answer: There Are 1000 Centimeters(Cm) In 10 Meters(M)

Answer:

Shirt= $5.50

Pant=$10

Step-by-step explanation:

Let's shirt be 'x' and pant be 'y'

=}. 3x + y = $26.50

4x + 2y = $42

=}. 3x + y = $26.50

2x + y = $21. ( then first term minus

second term )

=}. x = $ 5.50

Now, y = $26.50 - 3x

= $26.50 - 16.50

= $10

Answer:

Circumference of the circle=383.32cm

Step-by-step explanation:

r= 61cm π = 3.142

Formula for the circumference of a circle=2πr

Therefore;

Circumference=2×3.142×61 = 383.32cm.

From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.

The given parameters are;

Shape of the quilt pattern = A regular hexagon

Coordinates of point A = A(4, 0)

Coordinates of point D = D(-4, 0)

Required;

The area of the hexagon

Solution;

The coordinates of the center of the hexagon, P = (0, 0)

A regular hexagon consist of six equilateral triangles.

The length of a side of the triangle = PA

Length of PA = 4 - 0 = 4

Therefore;

Length of a side of the triangle = 4

Height of the triangle = PA × sin(60)

Which gives;

Height of the triangle = 4 × (√3)/2 = 2•√3

Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2

Area of the 6 triangles is therefore;

A = 6 × 4•√2 = 24•√2

Area of the 6 triangles = Area of the hexagon

Therefore;

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Answer: 39

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

Add them together, and you get your answer.

Answer:

28, 28, 34, 34

Step-by-step explanation:

8x - (6 + y)

8(5) - (6 + 6)

40-12

28

w ¾ + x²

4(¾) + 5²

3 + 25

28

y² - 0.5w

6² - 0.5(4)

36 - 2

34

w / 4 + 3(x + y)

4 / 4 + 3(5 + 6)

1 + 3(11)

34

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

Answer:

See below ↓

Step-by-step explanation:

Part A

Part B

Part C

Answer:

Part A

The x-intercepts are when f(x) = 0.

Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.

⇒ the profit is zero when the price of pens are $0 and $6

The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest.  Therefore, the optimal amount to price the pens to get the maximum profit.

⇒ maximum profit of $120 occurs when the pens are priced at $3

Part B

[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

From inspection of the graph, f(3) = 120 and f(5) ≈ 60

[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]

This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.

Part C

The domain is the set of input values (x-values).  As the price of a pen cannot be less than zero, the domain will be x ≥ 0

Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6

Step-by-step explanation:

Question 2(Multiple Choice Worth 1 points)

(08.02 MC)

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground