What is a proportion?

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

NO you only got 70 percent

Step-by-step explanation:

Answer:

  1154

Step-by-step explanation:

Perhaps the easiest way to evaluate this numerical expression is to let a calculator do it. Alternatively, we can compute the value from a +1/a.

__

Consider the square of a +1/a:

  (a +1/a)^2 = a^2 +2(a)(1/a) +1/a^2 = (a^2 +1/a^2) +2

This means ...

  a^2 +1/a^2 = (a +1/a)^2 -2

Similarly, using a^2 for 'a' in the above, we have ...

  a^4 +1/a^4 = (a^2 +1/a^2)^2 -2

The value of a +1/a is ...

  \(a+\dfrac{1}{a}=3-2\sqrt{2}+\dfrac{1}{3-2\sqrt{2}}=(3-2\sqrt{2})+\dfrac{3+2\sqrt{2}}{3^2-(2\sqrt{2})^2}\\\\=(3-2\sqrt{2})+(3+2\sqrt{2})\\\\a+\dfrac{1}{a}=6\)

Then the value of a^2 +1/a^2 is 6^2 -2 = 34

and the value of a^4 +1/a^4 is 34^2 -2 = 1154

Answer:

join AB line to the p point .

Answer:

$34,400

Step-by-step explanation:

35,500- 1,100= 34,400

A) $34,400 will the homeowner's insurance company pays for the damages

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

The homeowner's insurance company will pay for the damages after the deductible is subtracted from the claim amount.

In this case, the claim amount is $35,500 and the deductible is $1,100.

So, the insurance company will pay $35,500 - $1,100 = $34,400 for the damages.

Therefore, the answer is option A) $34,400.

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\(f(2) = g(2) = 4\), which means that the graphs of the two functions intersect at x = 2.

To show that the graphs of the functions   \(f(x) = 2^x\) and \(g(x) = \sqrt(4x + 1) + 1\)  intersect at the abscissa point x = 2, we need to show that both functions have the same value at  \(x = 2.\)

First, we evaluate f(2):

\(f(2) = 2^2 = 4\)

Next, we evaluate g(2):

\(g(2) = \sqrt(4(2) + 1) + 1 = \sqrt9 + 1 = 4\)

Therefore,  \(f(2) = g(2) = 4\) , which means that the graphs of the two functions intersect at \(x = 2\) .

To visualize this, we can plot the two functions on the same set of axes:

As we can see from the graph, the two curves intersect at the point (2, 4).

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The complete question is: How can you show that the graphs of the functions f(x) = \(2^x\) and g(x) = √(4x + 1) + 1 intersect?

Answer:

$4.20 / 7 erasers = $0.60 per eraser

So each eraser in the package costs $0.60.

Answer:

-1/3

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Answer:

-1/3 is greater than -3

-3 < -1/3

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

The surface area for the cylindrical box with a diameter of 15cm and height of 70cm is 1162.5π cm².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

S.A = 2πrh + 2πr²

Where r is radius of the circular base, h is height and π is constant pi.

From the diagram;

Plug the values into the above formula and solve for surafce area.

S.A = 2πrh + 2πr²

S.A = ( 2 × π × 7.5cm × 70cm ) + ( 2 × π × ( 7.5cm )² )

S.A = 1050π cm² + 112.5π 7.5 cm²

S.A = 1162.5π cm²

Therefore, the surface area is 1162.5π cm².

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Answer:

-22, -6, 4, 9, 19

Step-by-step explanation:

hope this helps

The angle m∠HAT in the line segment is 54 degrees.

When line segment intersect, angle relationships are formed such as

vertical angles, linear angles etc.

Therefore,  the angle ∠HAT can be found using the relationship of the angles as follows:

m∠MAH = 3x + 14

m∠HAT = 2x + 6

Therefore,

m∠MAH + m∠HAT = 90 degrees

3x + 14 + 2x + 6 = 90

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 24

Therefore,

m∠HAT = 2x + 6 = 2(24) + 6 = 48 + 6 = 54 degrees

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Answer: 30 Feet

Step-by-step explanation: Martin threw the ball 9 feet so we have Martins distance, next we know that Wyatt throws the ball 3 times as far which is 9x3 which is 27, Adeyla threw it 3 feet farther then Wyatt who threw it 27. 27+3=30

So the answer is 30 feet

Answer:

19

Step-by-step explanation:

10 + 9 = 19. If you look at how many students are above the "30 mark", you will count 10 on the first bar and 9 on the second.

Answer:

X=27

Step-by-step explanation:

\( \frac{24}{32} = \frac{30}{40} = \frac{x}{36} \)

so x=27

Answer:

\(y = \frac{1}{10}x + 6\)

500 cups cost $56

Step-by-step explanation:

Given

\(x = cups\)

\(y = cost\)

\((x_1,y_1) = (150,21)\)

\((x_2,y_2) = (300,36)\)

Solving (a): Linear Equation

First, we calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substitute right values

\(m = \frac{36 - 21}{300- 150}\)

\(m = \frac{15}{150}\)

\(m = \frac{1}{10}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

Where

\((x_1,y_1) = (150,21)\)

\(m = \frac{1}{10}\)

This gives:

\(y = \frac{1}{10}(x - 150) + 21\)

Open bracket

\(y = \frac{1}{10}x - \frac{1}{10}*150 + 21\)

\(y = \frac{1}{10}x - 15 + 21\)

\(y = \frac{1}{10}x + 6\)

Solving (b): Cups of coffees for $56

Substitute 56 for y in \(y = \frac{1}{10}x + 6\)

\(56 = \frac{1}{10}x + 6\)

Subtract 6 from both sides

\(-6+56 = \frac{1}{10}x + 6-6\)

\(50 = \frac{1}{10}x\)

Multiply both sides by 10

\(10 * 50 = \frac{1}{10}x * 10\)

\(10 * 50 = x\)

\(500 = x\)

\(x = 500\)

Hence: 500 cups cost $56

The net image of a figure is a visual representation of the original figure.

From the given net image, the solid that has the net image can be said to be a traingular

We know the value of f(-4), which is 2

Let's think about a value of x in which we can calculate the value of f(x+1) using the given information (it means x+1 has to be equal to -4)

x+1=-4

x=-4-1

x=-5

Now use this value to calculate g(x)

As we said, we already know the value of f(-4), use it to calculate g(-5)

Answer:1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

10

Ws

Given

It is an arithmetic progression

Solution

Substitute the given into the equation

The final answer

Option C

Answer: maybe 20 % at least because it might me adding

Answer:

7. n (Division sign) -5+1<7 = n<11   8. n (division sign) 3-2>-12= n>11      9. -2 x n-6>-18= n>-10

Step-by-step explanation:

I think this is right

The solution to the system of equations is x = 6 and  y = -5, which is the same as we obtained using the elimination method.

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:

2x + y = 7 ---(1)

x + y = 1 ---(2)

To solve this system, we can use the method of elimination or substitution.

Method 1: Elimination

In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.

Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:

-2(x + y) = -2(1) --

Multiplying equation

(2) by -2-2x - 2y = -2

Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:

2x + y = 7(-2x - 2y = -2)0x - y = 5

We now have a new equation in which y is isolated.

To solve for y, we can multiply both sides by -1:

-1(-y) = -1(5)y = -5

Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6

Therefore, the solution to the system of equations is (x,y) = (6,-5).

Method 2: Substitution

In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.

From equation (2), we can solve for y in terms of x:y = 1 - x

We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6

Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5

Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.

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Answer:

x = 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

6x - 9 = 2x + 7

- Add 9 to both sides of the equation.

6x = 2x 16

- Subtract 2 from both sides.

4x = 16

- Divide by 4 to isolate the variable

x = 4

Answer:

$12.50

Step-by-step explanation:

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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