please
Find the surface area of the prism.

The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.

In formal logic, we often use symbolic notation to represent statements and their logical relationships.

In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.

The translation provided uses three variables:

S represents the statement "You see a penny."

P represents the statement "You pick the penny up."

G represents the statement "All day long you'll have good luck."

The arrow (➡) is a logical connective that represents implication.

It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).

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Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

800 x 20 = 16,000 is closest to 17,894

Therefore, the best estimate is Option C, 800 x 20

Rewrite the equation as:

Let's use quadratic formula:

Where:

a = 1

b = -1

c= 8/6

Simplify:

The total budget for their student film $800

11% of total budget = (11/100) * total budget

= 0.11 * total budget

Let P be the amount the group spent on props.

Now we can write the equation:

P = 0.11 * total budget

We also know that this group spent $712 on equipment. Let E be the amount they spent on equipment.

So it looks like this:

E=$712

Your total budget is the total cost of your equipment and props. This can be written as:

Total Budget = E + P

Plugging in the E and P values, we get:

Total Budget = $712 + 0.11 * Total Budget

Simplifying this equation, we get:

0.89 * total budget = $712

Dividing both sides by 0.89 gives:

Total budget = $800

So her student film had a total budget of $800. 

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The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

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Answer:

Coordinates of turning point is (½, 6)

Step-by-step explanation:

We are given the equation of the curve as;

y = 8x² + (2/x)

At turning point, dy/dx = 0

Thus;

dy/dx = 16x - 2/x²

At dy/dx = 0, we have;

16x - 2/x² = 0

Rearrange to get;

16x = 2/x²

Multiply both sides by x² to get;

16x³ = 2

x³ = 2/16

x³ = 1/8

x = ∛(⅛)

x = ½

At x = ½, we have;

y = 8(½)² + (2/½) = 2 + 4 = 6

Thus, coordinates of turning point is (½, 6)

Answer:

Monday=275

Tuesday=330

thursday=360

Friday=440

Step-by-step explanation:

Add the entire number to itself since its above 100%

then figure out 10% of the number for  monday is 12.5 thats only ten so we gotta figure out 20% so 12.5x2=25

Hence its 125+125+25

250+25

275

This is for monday but this applies on all of them

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The missing value in the proportion is C- 10

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 2/5 = ?/25

Let x be the unknown number.

Here first we have the bottom half of type equation equal each other

5x=25 (2)

x= 25 (2) / 5

x = 5 (2)

x = 10

10 is the answer

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Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Answer:

3.714

Step-by-step explanation:

because you divide

26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, it can write it as 26 ÷ 7 = 3 R 5.

The division is given as:

26 ÷ 7

To determine this, we start by dividing the first digit of 26, which is 2, by 7. Since 2 is less than 7, we carry down the next digit, which is 6, and consider it as part of the dividend.

Now, we have 26 as our new dividend.

We divide 7 into 26, and it goes 3 times (7 × 3 = 21). We subtract 21 from 26, which leaves us with a remainder of 5.

Therefore, 26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, we can write it as 26 ÷ 7 = 3 R 5.

The quotient 3 represents the whole number of times 7 can be divided into 26, and the remainder 5 indicates the extra amount that is left over.

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Answer:

324000000000000000000000

Answer:

His monthly income is 9000 Rs

Answer:

Car insurance

Step-by-step explanation:

Because most people will start driving at the age of 15 and have a license by the age of 16. In order to drive a car, you will need car insurance.

Hope this helps!

The given equation is derivable from the system of equations.

Response:

Given:

The system of equation is presented as follows;

\(\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\\)

Therefore, by subtracting equation (2) from equation (1), we have;

(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions

13·x - 13·y = 29 - 55 = -26

13·x - 13·y = -26, which is the given equation

Given that the operation performed on equation (1) and (2) is the

subtraction of equivalent expressions, we have, that the solution for the

given equation, 13·x - 13·y = -26 is the same as the solution for given

system of equations.

The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;

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Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

Rounding to the nearest foot, the distance from point A to point B is 719 feet.

A perceiving type of person tend to make more use of intuition in their approach of life.

The word "Perceive" means to become aware of through the personal senses.

Therefore, they perceive situation automatically as they are use to that way of life approach.

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Answer:

x=2

Step-by-step explanation:

Answer: To find a vector perpendicular to the triangle, you can use the cross product of two vectors formed by subtracting two of the triangle's vertices. Specifically, if two vectors v1 and v2 are formed by subtracting one vertex from the other two, then their cross product v1 × v2 will be perpendicular to both v1 and v2, and therefore perpendicular to the triangle they form.

Mathematically, the cross product of two vectors in three-dimensional space is defined as:

v1 × v2 = ⟨y1z2 − z1y2, z1x2 − x1z2, x1y2 − y1x2⟩

So, to find a vector perpendicular to the triangle with vertices (x1,y1,z1), (x2,y2,z2), and (x3,y3,z3), you can choose any two vertices and compute their difference to get two vectors, and then take their cross product. For example, you could choose:

v1 = ⟨x2−x1,y2−y1,z2−z1⟩

v2 = ⟨x3−x1,y3−y1,z3−z1⟩

And then compute their cross product:

v1 × v2 = ⟨(y2−y1)(z3−z1) − (z2−z1)(y3−y1), (z2−z1)(x3−x1) − (x2−x1)(z3−z1), (x2−x1)(y3−y1) − (y2−y1)(x3−x1)⟩

This will give you a vector that is perpendicular to the triangle.

Step-by-step explanation:

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Answer:

  5/6 mile

Step-by-step explanation:

The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.

__

Here is the equation for the area of a rectangle.

  A = LW . . . . . area is the product of length and width

When we fill in the area and width, we have ...

  5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland

Solving this equation gives ...

  L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L

  L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division

The length of Sandra's farmland is 5/6 mile.

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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