y=kx and x is doubled what happens to y

Answer:

Put your dot on 7/4 and then then -1 means you will go left 1 time and down 1 time 1 left 1 down it should look like a staircase

Step-by-step explanation:

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

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Answer:

450:155 min

450/150.75=2.98

155 x 2.98=462.69 minutes

=7 hours 43 minutes

A normal probability plot (also known as a normal plot or a probability plot) is a graphical tool that can be used to assess whether a set of data follows a normal distribution.

When the data being plotted follows a normal distribution, the points on the plot will appear roughly linear, with deviations from linearity being relatively minor. In other words, the plot will form a straight line.

If the plot deviates significantly from a straight line, it suggests that the data may not be normally distributed. The shape of the plot can indicate whether the data is skewed or has heavy tails compared to a normal distribution.

Therefore, a normal probability plot appearing linear indicates that the data follows a normal distribution. It is important to note that this is only one way to check for normality, and it is always recommended to use multiple methods to verify the normality assumption before applying statistical tests that assume normality.

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To create the vector OutOfSpec, we need to compare the values in SqOut with the ideal output values, which can be calculated using the formula (input voltage)^2. We can then use the following steps in Matlab:

1. Create a vector of input voltages from 1 mV to N mV:
inputVoltage = 1:N;

2. Calculate the ideal output values using the formula (input voltage)^2:
idealOutput = inputVoltage.^2;

3. Calculate the percentage difference between the actual and ideal output values:
percentDiff = abs(SqOut - idealOutput) ./ idealOutput * 100;

4. Find the indices of the values in percentDiff that exceed 1%:
outOfSpecIdx = find(percentDiff > 1);

5. Use the outOfSpecIdx vector to extract the input voltages that generated out-of-spec output values:
OutOfSpec = inputVoltage(outOfSpecIdx);

The resulting vector OutOfSpec will contain a list of all inputs that generated an output differing from the ideal value by more than 1%.
To create a vector OutOfSpec in Matlab that contains a list of all inputs that generated an output differing from the ideal value by more than 1%, you can use the following code:

```matlab
SqOut = [0.9985 4.052 8.973 15.81 25.15];
N = length(SqOut);
ideal_output = (1:N).^2;
tolerance = 0.01 * ideal_output;
lower_bound = ideal_output - tolerance;
upper_bound = ideal_output + tolerance;

OutOfSpec = find(SqOut < lower_bound | SqOut > upper_bound);
```

This code first calculates the ideal output values and the 1% tolerance bounds. Then, it uses the 'find' function to identify input values where the corresponding output differs from the ideal value by more than 1%. The result will be stored in the vector OutOfSpec.

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Answer:

118

Step-by-step explanation:

90+28=118

Answer:

118°

Step-by-step explanation:

to find abc, you need to add 28° plus the right angle since they are connected. since a right angle is 90°, you need to add 28+90 and you wouled get a total of 118°

Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.

a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:

nCr = n!/r!(n – r)!

Hence,

6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20

And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins

b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.

Hence,

6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6

6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!

6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!

1 + 6 + 15 + 20 + 15 + 6 + 1

64

Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins

Hence,

Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?

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y = -2x - 9 ----------- 1

y = 3x + 1 -------------- 2

Step 1

Substitute y from equation 1 to equation 2.

y = -2x - 9

3x + 1 = -2x - 9

Step 2

Collect like terms

3x + 2x = - 9 - 1

5x = -10

Step 3

Divide through by 5

x = -10/5

x = -2

Step 4

Substitute x in equation 2 to find y.

y = 3x + 1

y = 3(-2) + 1

y = -6 + 1

y = -5

So the solution is (-2, -5)

Answer:

2

Step-by-step explanation: this is because the plus sign splits the terms so simply 2 terms

Answer: all are congruent

Step-by-step explanation:

a. The pair of triangles are not congruent.

b. It is impossible to tell about congruency.

c. The pair of triangles are congruent.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

These triangles can be slides, rotated, flipped and turned to be looked identical.

a. The given triangles are not congruent.

The triangle has same measures but the side lengths are different.

So the pair of triangles are not congruent.

b. The given pair of triangles are might be congruent if they have side lengths same.

But in the given triangles the side lengths are not measured.

So it is impossible to tell.

c. The given pair of triangles have same measures and same side lengths.

By AAS rule the pair of triangles are congruent.

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Answer:

#1

Use Pythagorean:

Apply to given and find c:

#2

#3

We have:

We know that:

Find b:

So

#4

Given

We know that:

Find b:

So

#5

Given

We know:

From the cot we have:

Hypotenuse is:

So,

The scientist concludes that the weight of a 6.5 pounds rock is equal to 23.3% of the total weight of all the rocks. Hence the total weight of all rocks is 27.9 pounds.

Given that:

Weight of one rock= 6.5 pounds

A 6.5-pound rock weighs the same as 23.3 percent  of the overall weight.

Let the total weight of all the rocks is = A

So, by using the given statement:

6.5= 23.3% of A

6.5= 23.3% × A

6.5= (23.3/100)×A

(23.3/100)×A = 6.5

Multiplying both sides by (100/23.3) we obtain,

A= 6.5×(100/23.3)

A= 6500/233

A= 27.9

Therefore, the overall weight of all the rocks is 27.9 pounds.

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Answer:

It would be D.

This is a box of 100 squares, and you can see that there are 10 shaded per row. You can see that there are 8 rows completely shaded, plus 2 of them shaded in another row.

8 x 10 = 80

80 + 2 = 82

Now, to turn it into a decimal, turn the number 82 into a decimal, which is 0.82

Answer:4

Step-by-step explanation:

because it is a right triangle so if cb is 2 that makes ac 2 then if you just look at the ab line it’s actually longer so it’s 4 ;)

Answer:

I think it is 3 feet

Step-by-step explanation:

12:9 is equal to 4:3

4:? should also be equal to 4:3, so ?=3

Hope this helps

let me know if it does and if it is right

When a partnership is formed without a written partnership agreement, the default rules under the Uniform Partnership Act apply. The most important of these rules is the "equal sharing rule" which states that partners share profits and losses equally regardless of their contributions or efforts.

This means that, in the given scenario, James and Carol are entitled to split the profit earned by the partnership equally between them, despite Carol contributing 90% of the capital and doing 90% of the work.

The equal sharing rule can be problematic when there is a significant disparity in the contributions or efforts of the partners. To avoid this, it is highly recommended to have a comprehensive partnership agreement in place from the outset that clearly outlines each partner's role, responsibilities, and share of profits and losses. Such an agreement can also address other important aspects of the partnership such as decision-making, dispute resolution mechanisms, and termination procedures.

In summary, when a partnership is formed without a written partnership agreement, the default rules under the Uniform Partnership Act apply and partners share profits and losses equally regardless of their contributions or efforts. It is therefore important for partners to have a partnership agreement in place to avoid any potential conflicts or misunderstandings.

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Triangle PQR is not a right triangle.

To determine whether triangle PQR is a right triangle, we need to check if any of its angles is a right angle (90 degrees). We can use the slope formula to find the slopes of the sides of the triangle and check if any of the slopes are negative reciprocals (perpendicular) to each other.

Let's calculate the slopes of the sides PQ, QR, and RP:

Slope of PQ = (y₂ - y₁) / (x₂ - x₁)

= (2 - 1) / (3 - 0)

= 1 / 3

Slope of QR = (y₂ - y₁) / (x₂ - x₁)

= (-4 - 2) / (5 - 3)

= -6 / 2

= -3

Slope of RP = (y₂ - y₁) / (x₂ - x₁)

= (1 - (-4)) / (0 - 5)

= 5 / (-5)

= -1

Now, let's check if any of the slopes are negative reciprocals of each other. We can compare the products of the slopes:

Product of PQ slope and QR slope = (1/3) * (-3) = -1

Product of QR slope and RP slope = (-3) * (-1) = 3

Product of RP slope and PQ slope = (-1) * (1/3) = -1/3

Since the product of the slopes of QR and RP is not equal to -1, triangle PQR is not a right triangle.

Therefore, triangle PQR is not a right triangle.

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The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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Answer:

a

Step-by-step explanation:

20 units is the measure of the length of IK.

A line is defined as the distance between two points. Given the following parameters

IK =5x

IJ = 4

JK =4x

If the point J is on IK, hence;

IK = IJ + JK

Substitute the given parameters to have:

5x = 4 + 4x

5x - 4x = 4

x = 4

Determine the length of IK

IK = 5x = 5(4)

IK = 20

Hence the measure of the length of IK is 20 units
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Complete question

Point J is on line segment IK.Given IK =5x, IJ = 4 and JK =4x, determine the numerical length of IK

Answer:

The 12'' one.

Step-by-step explanation:

The crust is at the perimeter of the pizza, and the pizza is a circle, so we just need to calculate the perimeter of the different pizza sizes, and see which one has a perimeter of 37.68 in.

First, you should remember that for a circle of radius R, the perimeter is:

P = 2*3.14*R

(notice that the measures in the image are the diameters of the pizzas, and the radius is half of the diameter)

The radius that we need to have if we want a perimeter of 37.68 in is given by:

P = 37.68 in = 2*3.14*R

   (37.68 in)/(2*3.14) = R = 6 inches.

Then we need a pizza of 6 inches (or a diameter of 2*6 inches = 12 inches)

Then the pizza that Ms. Van Rock should get is the 12 inch one.

If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then  new selling price for a signed sci-fi book is $25.52

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Danny wants to buy the new sci-fi book for $15.75.

Some of the books were signed by the author, and those cost an additional 60%

We need to calculate 60% of 15.75

Change 60% to decimal value by dividing with 100

60/100=0.6

Now multiply 0.6 with 15.75 to find 60% of 15.75

0.6×15.75

9.45

So 9.45 is the cost of books.

Add 15.75 with 60% amount

$15.75+$9.45

$25.52

Hence the new selling price for a signed sci-fi book is $25.52

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The age of Savannah is 11 years old.

The age of Savannah is calculated as follows;

Let x be the age of Gianna

Savannah's age can be expressed as x + 2

The product of their ages is 99, so we can set up the equation;

x(x + 2) = 99

x² + 2x = 99

x² + 2x - 99 = 0

Factorize the quadratic equation as follows;

x² + 11x - 9x - 99 = 0

(x + 11)(x - 9) = 0

x = -11 or 9

ignore the negative solution.

So, Gianna is 9 years old, which means that Savannah is 9 + 2 = 11 years old.

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52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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\(\frac{10}{3}\) liters of water are necessary to water all the plants in the house.

The multiplication equation for the situation is \(\frac{4}{3} \times \frac{5}{2}$\)

The division equation for the situation is \(\frac{4}{3} \div \frac{2}{5}$\)

As per the given data in the question

\($\frac{2}{5}$\) plants required \(\frac{4}{3}$\) liters of water to water them.

We have to determine the water which is necessary to water all the plants in the house

We will solve this question using the unitary method.

Unitary method: This method generally involves finding the value of a unit in the given terms, using which the value of the given quantity of units can be calculated.

1 plant \($\rightarrow \frac{4}{3} \div \frac{2}{5}$\) liters (the division equation for the situation)

1 plant \($\rightarrow \frac{4}{3} \times \frac{5}{2}$\) liters (the multiplication equation for the situation)

1 Plant \($=\frac{20}{6}=\frac{10}{3}$\) liters

The total number of plants in the house are 5.

The water required to water the 5 plants:

\($=\frac{10}{3} \times 5$\)

\($=\frac{50}{3}$\) liters

Therefore the water which is necessary to water the plants in the house are \(\frac{50}{3}$\) liters.

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The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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The approximate distance of the foot of the ladder from the wall is 14.14 feet. Option C is correct.

To find the distance, we can use the trigonometric function tangent. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the angle is 45 degrees and the opposite side is the distance we're trying to find, while the adjacent side is the height of the ladder.

So, we can set up the equation: tangent(45 degrees) = opposite/20 feet.

Taking the tangent of 45 degrees gives us 1. Substituting this into the equation, we have: 1 = opposite/20.

To solve for the opposite side (the distance), we can multiply both sides of the equation by 20: 20 = opposite.

Therefore, the approximate distance of the foot of the ladder from the wall is 14.14 feet (rounded to two decimal places). This is option c.

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