When the sun is at a certain angle in the sky, a 50-foot building will cast a 20-foot shadow. What is the length of the shadow in feet cast by a 20-foot pole at the same time? Enter only the number.

A dependent means t-test determines if the differences between scores on the pretest and post-test measures differ significantly from Zero(0).

Benefits of pre-test measurements

This design is superior to the post-test-only control design because it adds pre-tests. Addition of pre-test: Improve your design ability to detect effects. You can investigate the impact of interventions on various sublevels of pretesting.

The design of the pre-test and post-test is similar to the in-subject experiment. In this experiment, each participant is first tested in control conditions and then in therapeutic conditions.

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Answer:

x = 0, y = 1

Step-by-step explanation:

2x + 6y = 6 → (1)

x - 3y = - 3 ( add 3y to both sides )

x = 3y - 3 → (2)

substitute x = 3y - 3 into (1)

2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side

6y - 6 + 6y = 6

12y - 6 = 6 ( add 6 to both sides )

12y = 12 ( divide both sides by 12 )

y = 1

substitute y = 1 into (2)

x = 3(1) - 3 = 3 - 3 = 0

solution is x = 0 , y = 1

After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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When the mat's perimeter is 102 inches, the strip that shows around the picture is 8 inches broad.

The perimeter of a shape is the distance around its edge. The perimeter of a form is the length of its contour. To calculate the perimeter of a rectangle or square, sum the lengths of all four sides. The perimeter of a shape is the distance around its exterior. Perimeter is calculated by summing the lengths of all the sides of a form.

Here,

length of paper, l = 20 inch

width of paper, w = 15 inch

perimeter = 102 inch

Let x be the strip of mat,

\(\text{l = 20 + 2x}\)

\(\text{w = 15 + 2x}\)

\(\text{perimeter = 2(l + w)}\)

\(102=2\times(20+2x+15+2x)\)

\(51=35+2\text{x}\)

\(2x=16\)

\(\boxed{\bold{x=8 \ inches}}\)

The strip of the mat showing around the picture is 8 inches wide when the perimeter of the mat is 102 inch.

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The relationship between the XY chart and the semi-log graph is that they both represent the same data, but the semi-log graph allows us to visualize the exponential decay relationship between Volume (V) and Time (t) more clearly. In the semi-log graph, the data appears as a straight line, which shows that the rate of change in Volume (V) is proportional to the negative exponential function of Time (t).

To plot the equation V=10e^(-0.5t) in Excel and create both an XY chart and a semi-log graph, we can follow these steps:

Open a new Excel spreadsheet.

In cell A1, type "Time (t)" and in cell B1, type "Volume (V)".

In cells A2 to A100, enter time values from 0 to 20 in increments of 0.2 (i.e., 0, 0.2, 0.4, etc.).

In cell B2, enter the formula "=10EXP(-0.5A2)" and then copy this formula down to cell B100 to calculate the corresponding volume values.

Select cells A1:B100 and then click on the "Insert" tab in the top menu.

Click on the "Scatter" chart type under the "Charts" section and select the first option for the XY scatter plot.

This will create an XY plot of the data with Time (t) on the x-axis and Volume (V) on the y-axis.

To create a semi-log graph, right-click on the y-axis and select "Format Axis".

In the "Format Axis" pane that appears, check the box next to "Logarithmic Scale" under the "Axis Options" section.

This will transform the y-axis into a logarithmic scale, creating a semi-log graph where the relationship between Volume (V) and Time (t) is linear.

The relationship between the XY chart and the semi-log graph is that they both represent the same data, but the semi-log graph allows us to visualize the exponential decay relationship between Volume (V) and Time (t) more clearly. In the semi-log graph, the data appears as a straight line, which shows that the rate of change in Volume (V) is proportional to the negative exponential function of Time (t).

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The single transformation that is equivalent to a reflection over the x-axis, followed by a rotation of 90 degrees, is a reflection over the y-axis.

Here, we have,

we know that,

When you reflect a figure over the x-axis, all the points are flipped vertically, so a point (x, y) would become (x, -y).

Then, when you rotate the reflected figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap places, resulting in (-y, x).

If we perform a reflection over the y-axis on the original figure (x, -y), the y-coordinate is negated, resulting in (-x, -y).

Then, when we rotate this figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap, giving us (-y, -x), which is equivalent to (-y, x).

Therefore, a reflection over the y-axis achieves the same result as a reflection over the x-axis followed by a rotation of 90 degrees.

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The measures of angles in similar triangles are ∠ F = 22°, ∠ G = 75° and ∠ H = 83°

Similar triangles have the same corresponding angle measures and proportional side lengths.

Given that, Triangle ABC is similar to triangle FGH, we need to find the measures of the angles,

The sum of interior angles of a triangle = 180°

Considering Δ ABC,

∠ A + ∠ B + ∠ C = 180°

∠ C = 180°-(22°+75°)

∠ C = 83°

Since, we know that the similar triangles have congruent corresponding angles,

Therefore,

∠ A = ∠ F, ∠ B = ∠  G and ∠ C = ∠ H

Therefore, the measures of angles in Δ FGH are ∠ F = 22°, ∠ G = 75° and ∠ H = 83°

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Answer:

Answer:

x = 61

Step-by-step explanation:

The angle above the line n adjacent to 2x - 6 is (x + 3) alternate angle.

Adjacent angles are supplementary, thus

2x - 6 + x + 3 = 180, that is

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

Answer: x=3, p/2,-p/2

Step-by-step explanation:

it's hard to explain, so let me know if you really want me to explain.

Answer:

y = 3/2x

Step-by-step explanation:

\( \frac{ 3 + 3}{2 + 2} = \frac{6}{4} = \frac{3}{2} \)

\( - 3 = ( \frac{3}{2} ) - 2 + y \\ - 3 = - 3 + y \\ 0 = y\)

Answer:

The simplest form of 108/648 is 16

For the given condition 108 as a fraction of 648 will be 108/648.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have to write 108 as a fraction of 648, in simplified form.

p as the fraction of q in the simplified form can be written as,

=p/q

For the given condition we have to write the 108 as a fraction of 648 in the simplified form.

Write the fraction's numerator, hyphenate it, and then spell out the denominator to represent it verbally. The phrase p/q would be used to represent the fraction 108/648.

Thus, for the given condition 108 as a fraction of 648 will be 108/648.

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The predictions for y when x equals 10, 20, and 30 are 42.00, 73.00, and 114.00 respectively.

Algo Consider the estimated quadratic model y = 21 + 1.6x + 0.05x².

Predict y when x equals 10, 20, and 30. (Round intermediate calculations to at least 4 decimal places and the final answer to two decimal places).

The quadratic model is given as y = 21 + 1.6x + 0.05x² and we are to predict y when x equals 10, 20, and 30.

For x = 10,y = 21 + 1.6(10) + 0.05(10²)

= 21 + 16 + 5 = 42

For x = 20,

y = 21 + 1.6(20) + 0.05(20²)

= 21 + 32 + 20 = 73

For x = 30,

y = 21 + 1.6(30) + 0.05(30²)

= 21 + 48 + 45

= 114

Therefore, the predicted values of y for x equals 10, 20, and 30 are 42, 73, and 114 respectively.

To round the answers to two decimal places, we look at the third decimal place. If it is five or greater than 5, then we add one to the second decimal place.

Otherwise, we retain the second decimal place.

For example, if the answer is 7.975, we round up to 7.98.

If the answer is 7.974, we retain 7.97.

The calculations are given below;

For x = 10, y = 42.00

For x = 20, y = 73.00

For x = 30, y = 114.00

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Answer:

1.5 x  10 with the exponent of 7

Step-by-step explanation:

Answer:

(1)

Step-by-step explanation:

x - 2 = - 5             Add 1 to each side

x = - 5 + 2

x = - 3

Now go to the next part

(x - 2)^2

(-3 - 2)^2

(- 5)^2

Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.

(-5)(-5)  Two minuses are going to give you a plus.

5 * 5 = 25

(-5) * (-5) also give you 25

The answer is (1)

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

the answer of this question will be 0.2

Answer:

0.2

Step-by-step explanation:

5/5= 1

1/5 =1÷5

     =0.2

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

ummmmmmmm

0.4?

Answer:

∠ 2 = 140°

Step-by-step explanation:

∠ 1 and ∠ 2 are alternate exterior angles and are congruent , so

∠ 2 = ∠ 1 = 140°

The length of the third side must fall between the range of 3 cm to 27 cm.

According to the triangle inequality theorem, for a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.

Thus, the length of the third side of a triangle with side lengths of 12 cm and 15 cm must fall between the difference and the sum of the other two sides, inclusive.

The third side is between 3 cm and 27 cm.This means that the length of the third side must be greater than 3 cm, but less than or equal to 27 cm.

Therefore, the length of the third side must fall between the range of 3 cm to 27 cm.

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The coordinate of the point after the sequence of transformations is (-1,2).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

Given,

Point (4,-7) is a vertex of an object on a coordinate plane. The object is rotated 180° clockwise around the origin.

Our point A(x, y) becomes A' when a point is rotated 180 degrees counterclockwise around the origin (-x,-y). Making both x and y negative is all we do as a result.

(-4, 7)

And then, translated 3 units to the right and 5 units down.

(x+3, y -5)

(-4 +3, 7-5)

(-1,2)

The coordinate of the point after the sequence of transformations is (-1,2).

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Answer:

5x+7y-10=0

5x+7y=10

7y=-5x+10

y=-5/7x+10/7

So, the slope of this line is -5/7.

Let me know if this helps!

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

Line A slope = -1

Line B Slope =0.5

Double? That wouldn't be correct but your teacher may be not smart.

The equation for line A: y=-x-2

Values from Line B: (In the picture below)

Find the slope for y= -x-2

\(y=-x-2,\)

\(y+x= -2\)

\(m= -1\)

The slope for y= -x-2 is m= -1

I promise I will finish this once im done with my dinner :)

Answer:

Pythagorean triple

Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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