If 3v/7 = 6then v = ?
I’m not sure

Answer:

$400

Step-by-step explanation:

80% = 80/100 = 8/10 = 0.8

0.8(500)=400

Answer:

Step-by-step explanation:

let the distance be x miles

the difference in time taken  between two towns = 7 minutes

   44 - x = 49

x = 49 - 44

      x = 5 miles

Therefore , the distance between two towns is 5 miles .

The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

The base of the triangle is 4cm and the height is 6cm

Answer:

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

Step-by-step explanation:

(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =

(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =

((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =

(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =

(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)

Answer:

the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)

Step-by-step explanation:

Edge2020 ;D

Answer:

decimal; 0.748 fraction is: 374/5 or 74 4/5 .

Standard Form: 589,203

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form: 589,203

= 500,000 + 80,000 + 9,000 + 200 + 0 + 3

Expanded Factors Form: 589,203

= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1

Expanded Exponential Form: 589,203

5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100

Sorry if i was not helpful hope this helps !

The result of the quotient; a⁴ -b⁴ ÷ (a+b) (a²+b²) as required to be determined in the task content is; (a - b).

As evident from the task content; the result of the quotient a^4-b^4 ÷ (a+b) (a^2+b^2) is to be determined.

Recall from difference of two squares concept that; x² - y² = (x + y) (x - y).

Therefore, we have that;

(a²- b²) (a² + b²) ÷ (a+b) (a^2+b^2)

By simplification, we have that;

= (a² - b²) / (a + b)

Using the difference of two squares concept again; we have;

= (a - b) (a + b) / (a + b)

= (a - b).

Ultimately, the result of the quotient is; (a - b).

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Answer:

Step-by-step explanation:

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)

Where  

\(a\) is the side opposite to \(\angle A\)

\(b\) is the side opposite to \(\angle B\)

\(c\) is the side opposite to \(\angle C\)

\(\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08\)

\(\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22\)

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

\(\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)\)

\(\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}\)

After x months, the current dryer cost 30x dollars

After x months, the new dryer cost 560 + 20x dollars

If both costs are equal:

30x = 560 + 20x

30x - 20x = 560

10x = 560

x = 560/10

x = 56

The clothes dryer will pay for itself in 56 months​

The measure of ZPQR is approximately 113°. This can be solved usiing the concept of geometry.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.

Therefore, to find the measure of ZPQR, we would follow the following steps:

Let x= measure of <PQR

Hence, the measure of <PQR

296 = x/360 x 3.14 x 2 x 150

Hence, x = 113.12 °

Approximately, the measure of ZPQR is 113 °

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

1 game

15/5=3

4-3=1

Hope it helps

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Using a system of equations, it is found that Stefan won 7 games.

In our system, we have that:

Marion won five times the difference between the number of games Stefan won and the number four, hence:

\(x = 5(y - 4)\)

Marion won 15 games, hence \(x = 15\), and:

\(15 = 5(y - 4)\)

\(y - 4 = 3\)

\(y = 7\)

Stefan won 7 games.

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Answer:

X = 9

Step-by-step explanation:

1. Subtract 72 from both sides.

24x = 216

2. Divide 24 on both sides

x = 9

Answer:

X = 9

Step-by-step explanation:

We have to separate the like terms

72 + 24x = 288

24x = 288 - 72

24x = 216

We then divide both sides by 24

X = 9

Answer:

see below

Step-by-step explanation:

519 sold

studnets = x

non students = y

so x+y =519, so x = 519-y

3x+5y =1909

so 3(519-y) +5y = 1557 +2y =1909

2y = 352

y=176 non students

x = 519-176 = 343 students

Answer:

E. x = 1/2

F. x = -4/3

Explanation:

The given equation is

6x² + 5x - 4 = 0

To find the solution, we need to factorize the polynomial, so we will use the divide and slide method.

First, multiply the coefficient of x², in this case, it is 6, by the constant, which is -4, and rewrite as

x² + 5x - 4(6)

x² + 5x - 24

Now, we need to find two numbers that multiply to -24 and add to 5. These numbers are 8 and -3, so

(x + 8)(x - 3)

Finally, divide the constants by 6 and simplify

(x + 8/6)(x - 3/6)

(x + 4/3)(x - 1/2)

And slide the denominator as a coefficient of x, so

6x² + 5x - 4 = (3x + 4)(2x - 1)

Therefore, the initial equation is

(3x + 4)(2x - 1) = 0

Now, this is equal to 0 if one of the factors is equal to 0, so the solutions of the equation are

3x + 4 = 0

3x = -4

x= -4/3

2x - 1 = 0

2x = 1

x = 1/2

Then, the answers are:

E. x = 1/2

F. x = -4/3

Answer:

no this is only about 13 pounds

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

it's not reasonable

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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a) The Nash Equilibrium is when both players put in the same effort level x1 = x2 = x.

b) The total payoff is a convex function of x1, which means that increasing x1 will always increase the total payoff.

a. Nash Equilibrium: A Nash Equilibrium is a set of strategies such that each player's strategy is a best response to the strategies of the other players.

In this game, each person i chooses their effort level x i to maximize their own payoff, which is the worth of the project divided by 2. Their individual payoff is given by:

pi = (2x1x2) / 2 = x1x2

By taking the derivative of pi with respect to xi and setting it to zero, we get the following first-order condition:

dpi/dx i = x2 - xi = 0

Since xi is in the range [0,1], we have xi = x2.

Thus, the Nash Equilibrium is when both players put in the same effort level x1 = x2 = x.

b. Total Payoff: The total payoff of the project is given by:

pt = x1x2 + x1x2 = 2x1x2

By factoring the total payoff function, we get:

pt = 2x1x2 = 2x1x1 = 2x12

So, the total payoff is a convex function of x1, which means that increasing x1 will always increase the total payoff.

Since the Nash Equilibrium is when both players put in the same effort level, there is no effort level that yields a higher total payoff than the Nash Equilibrium.

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The attached graph represents the graph of the function y = h(2x) + 1

The points on the graph of y= h(x) are:

(-1,-2), (-2,-4), (0,0), (2,-1), (4,-2)

Using the above ordered pairs, the points on y = h(2x) + 1 are:

When x = -1, h(2x) = h(-2) = -4

So, we have:

y = -4 + 1 = -3

When x = -2, h(2x) = h(-4) = -8

So, we have:

y = -8 + 1 = -7

When x = 0, h(2x) = h(0) = 0

So, we have:

y = 0 + 1 = 1

When x = 2, h(2x) = h(4) = -2

So, we have:

y = -2 + 1 = -1

When x = 4, h(2x) = h(8) = -4

So, we have:

y = -4 + 1 = -3

So, the points on the graph of y = h(2x) + 1 are:

(-2,-7), (-1,-3),  (0,1), (2,-1), (4,-3)

Next, we plot the graph of y = h(2x) + 1

See attachment for the graph of y = h(2x) + 1

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Answer:

6.12

Step-by-step explanation:

Have a nice day

The correct expression is  \($(150 \cdot 1.15)^7$\) (Choice A).

The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).

To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.

If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.

Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.

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Answer:

a. 4 mysteries

Step-by-step explanation:

Let the number of books Lisa read be x.

5x-3 = 17

5x = 17 + 3

    = 20

x = 20 ÷ 5

x = 4

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

(4x³- 4 + 7x) - (2x³ - x - 8) is equivalent to expression 2x³ + 8x + 4. Option B

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)  is equivalent to expression 3x⁴ - 3x² + 5x - 7. Option D

(x² - 2x) (2x + 3) is equivalent to expression 2x³ - x² - 6x. Option A

From the information given, we have that the expressions are;

(4x³- 4 + 7x) - (2x³ - x - 8)

expand the bracket, we have;

4x³ - 4 + 7x - 2x³ + x + 8

collect the like terms, we have;

2x³ + 8x + 4

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)

expand the bracket, we have;

-3x² + x⁴ + x + 2x⁴ - 7+ 4x

collect the like terms

3x⁴ - 3x² + 5x - 7

(x² - 2x) (2x + 3)

expand

2x³ + 3x² - 4x² - 6x

2x³ - x² - 6x

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