what is the combined equation of (x-3)^2=12

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be \(x\), \(y\), \(z\) the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

\(0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75\) (Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

\(z + 3 = y\) (Eq. 2)

ii) And five times as many pennies as dimes

\(x = 5\cdot z\) (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

\(0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75\)

\(0.20\cdot z = 0.60\)

\(z = 3\)

The remaining variables are \(y = 6\) and \(x = 15\).

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Answer:

Sorry I dont really understand wish I could help:(

Step-by-step explanation:

Answer:

\(\sqrt{10}\)

\(\sqrt{5 } ^{2} + \sqrt{5 } ^{2} = x^{2}\)

\(x^{2} =10\)

Step-by-step explanation:

9514 1404 393

Answer:

  a. $297.50

  b. 150%

  c. 60%

  d. $14.88

Step-by-step explanation:

We are given that $100 of selling price breaks down to ...

  cost: $40

  operating profit: $100 -40 -45 - $5

  markup: $100 -40 = $60

__

a. The selling price is $100/$40 = 2.5 times the cost.

  selling price = 2.5 × $119 = $297.50

__

b. The ratio of markup to cost is ...

  markup/cost = $60/40 = 1.5 = 150%

__

c. The ratio of markup to selling price is ...

  markup/selling price = $60/$100 = 0.60 = 60%

__

d. The ratio of profit to cost is ...

  profit/cost = $5/$40 = 1/8

Then the operating profit on this item is ...

  $119 × 1/8 = $14.875 ≈ $14.88

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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The values of the functions are k(0) = 0, k(4) = 64, k(-4) = -192, k(1/2) = -3/4, k(a/2) = 2(a/2)^3 - 4(a/2)^2, k(x) = -2x^3 - 4x^2 and k(x^3) = 2x^9 - 4x^6

The function definition is given as:

k(x) = 2x^3 - 4x^2

To calculate the values of the function, we simply substitute the x value and then calculate the function value

Using the above highlight, we have the following computations

k(0) = 2(0)^3 - 4(0)^2

k(0) = 0

k(4) = 2(4)^3 - 4(4)^2

k(0) = 64

k(-4) = 2(-4)^3 - 4(-4)^2

k(-4) = -192

k(1/2) = 2(1/2)^3 - 4(1/2)^2

k(1/2) = -3/4

k(a/2) = 2(a/2)^3 - 4(a/2)^2

k(-x) = 2(-x)^3 - 4(-x)^2

k(-x) = -2x^3 - 4x^2

k(x^3) = 2(x^3)^3 - 4(x^3)^2

k(x^3) = 2x^9 - 4x^6

Hence, the values of the functions are k(0) = 0, k(4) = 64, k(-4) = -192, k(1/2) = -3/4, k(a/2) = 2(a/2)^3 - 4(a/2)^2, k(x) = -2x^3 - 4x^2 and k(x^3) = 2x^9 - 4x^6

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Answer: answer is 5

Step-by-step explanation:

Answer:

x = √6/2

Step-by-step explanation:

Side a = 1.73205 --> √3

Side b = 1.22474 --> √6/2

Side c = 1.22474 --> √6/2

Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,

So,

4x2x5 = 40

So, in another method,

Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,

8x5 = 40

Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

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The question is incomplete solved for:

Find the another method to solve 4x2x5

Answer:

Step-by-step explanation:

4k^2 + 8k + 2 - 2k - 3

4k^2 + 6k - 1

answer is B

Answer:

[B] 4k²+ 6k - 1

Explanation:

(4k² + 8k + 2) - (2k + 3)

Remove Parenthesis

4k² + 8k + 2 - 2k + 3

-2k + 3: -2k - 3

= 4k² + 8k + 2 - 2k - 3

Simplify

4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1

= 4k²+ 6k - 1

- PNW

Answer:

To Solve a System of Equations by Elimination

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

here! ( happy hoildays!)

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

The theorem that verifies that the two right angled triangles are similar is HA.

Two triangles are said to be similar if the ratio of their corresponding sides and the corresponding angles are equal.

Analysis:

From the diagrams KL = OQ ( hypotenuse)

∠L is equal to ∠Q which are acute.

so the two triangles are similar in hypotenuse and acute angle which is the HA theorem.

In conclusion, the HA theorem verifies that the two triangles are similar.

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The amount of money is 4000 was invested at 3%.

Let x be the amount of money invested at 3%.

Then, the amount of money invested at 5% is 6000 - x.

The interest earned on the amount invested at 3% is 0.03x.

The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.

The total interest earned is given as $220.

So, we can write the equation:

0.03x + (300 - 0.05x) = 220

Simplifying and solving for x, we get:

0.03x + 300 - 0.05x = 220

-0.02x + 300 = 220

-0.02x = -80

x = 4000

Therefore, $4000 was invested at 3%.

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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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Answer:     \(A = 28.26 ft^2\)

Step-by-step explanation:

The formula for the area of a circle is: A = π\(r^2\)

We need to plug in the values from the question into the formula.

\(A = (3.14)(3)^2\)

A = (3.14)(9)

A = 28.26

Don't forget the units! Since we found the area of the circle, we need to square the units.

\(A = 28.26 ft^{2}\)

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

Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

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Answer:

b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Step-by-step explanation:

A co-payment can be defined as a relatively small fixed amount of money that is required to be paid by a patient (insured) to a service provider such as a health insurer (health maintenance organization-HMO) as medical expenses before receiving any other service. Some examples of co-payment are the payment of $15 for a visiting gynecologist, £5 for prescribed drugs, ¥20 for x-ray etc.

On the other hand, co-insurance can be defined as the amount of money a patient (insured) is required to pay for a claim or covered charge after a deductible have been satisfied and it is typically expressed as a percentage of the costs incurred. It is usually split between the policyholder and the insurer on a 20% to 80% basis.

Hence, the difference between a co-payment and co-insurance is that, co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Answer:

answer is b :P

Step-by-step explanation:

Answer:

g=30y^2+6y^2

Step-by-step explanation:

30 years left after six were taken

Answer:

y=3/5x+1

Step-by-step explanation:

36+12=48

36÷48×100=75

answer=75%

sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

The sine expression is given as

sin^4x

The above means

sin x raised to the power of 4

This in other words, the expression is represented as

(sin(x))^4

Express 4 as 2 + 2

(sin(x))^(2 + 2)

Apply the law of indices

(sin(x))^2 * (sin(x))^2

This gives

sin^2(x) * sin^2(x)

Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Rested numbers in group is 33 out of 76.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

Total numbers in a group = 76.

44% of them were rested.

That is 44% of 76.

To find how many are rested we have to find the value in numbers.

Convert 44% of 76 to numbers.

For this, it can be written as

\(\frac{44}{100} *76\) = 33.44

Therefore 44% of 76  ≅ 33 numbers.(approximately)

Hence, rested numbers in group is 33.

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Answer:

Yes 4/5 is greater than 2/3

Step-by-step explanation:

Because

4/5 = 0.8

2/3 = 0.667

Then, we compare the two decimal numbers to get the answer.

0.8 is greater than 0.667.

Therefore, 4/5 is greater than 2/3 and the answer to the question "Is 4/5 greater than 2/3?" is yes.

Answer:

Let the required number be 'x'.

Then,

x + 2.2 = 34.5 - 12.3

or, x = 34.5 - 12.3 - 2.2

or, x = 20

So, the required number is 20.

Answer:

I know you go to aops...

Step-by-step explanation:

Answer:

The first one is 17 and the second one is (5, 2)

Answer:

Skill Tests

With a partner, complete the Skill Tests for the six areas of skill-related fitness and record both your scores and your partner’s scores below. Answer the reflection questions.

My Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Partner Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Compare your scores to your partner’s scores. Explain the reason for any differences.

How can improving your balance and coordination affect your performance in sports or recreational activities?

What activity was the most difficult for you to perform? Why?

Describe an activity that could help improve your striking and your reaction time skills.

Select a physical activity or sport that you have never done but would like to try one day. Identify at least one element of skill-related fitness that is important to being successful in this activity.

What power-increasing activities do you need to perform regularly to improve your performance?

Answer:

Yeah, theorem triangle

Step-by-step explanation: