What is 0.01 1/2 as percent?

We can see here that with the information given, one can prove that this quadrilateral is a parallelogram. Thus, it is yes>

A polygon with four sides and four vertices (corners) is called a quadrilateral. Its internal angles add up to 360 degrees.

Squares, rectangles, parallelograms, trapezoids, and rhombuses are all examples of quadrilaterals.

We can see that looking at the quadrilateral, we can deduce that it is parallelogram. This is because the opposites sides are equal. Also, their opposite angles are equal.

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The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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After dilation with the scale factor 1/4 is A'(0, 1), B'(1, 1) and C'(-1, -1).

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, the scale factor is k= 1/4.

From the given figure, vertices of triangle ABC are

A(0, 4), B(4, 4) and C(-4, -4)

After dilation with the scale factor 1/4, we get

A(0, 4)→1/4 (0, 4) =A'(0, 1)

B(4, 4)→1/4 (4, 4) =B'(1, 1)

C(-4, -4)→1/4 (-4, -4) =C'(-1, -1)

Therefore, after dilation with the scale factor 1/4 is A'(0, 1), B'(1, 1) and C'(-1, -1).

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Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

\(\frac{325}{520}\) fraction of the workforce kept their jobs

What is the Percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

What is Percentage change?

The percentage increase is calculated by subtracting the original number from the new number, dividing that result by the original number, and multiplying that result by 100.

where growth in number equals new number minus initial number.

Similar to how a percentage increase is calculated, a percentage reduction is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying that result by 100.

decreasing number where original number - new number

In other words, there is a percentage decline if the response is negative.

Here, It is given:

In January 520 workers were employed;

In the end, 195 employees were redundant;

So, The fraction of the workforce who kept their job:-

The fraction of the workforce who kept their job=\(\frac{520-195}{520}\)

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

Hence,

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

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Answer: 38

Step-by-step explanation:

4*8 =32

32/2=16

16*3=48

48-10=38

The time Tony have between the end of the project and the beginning of band practice is 43 minutes. So the answer is 43 minutes.

Tony began his math assignment at 1:57 p.m. and completed it 80 minutes later. To find out when Tony finished his assignment, add 1:57 p.m. to 80 minutes.

We may convert 80 minutes to hours , which is 1 hour and 20 minutes, which is added to 1:57 p.m.

1:57 p.m. + 1:20 p.m. = 3:17 p.m.

At 4:00 p.m., Tony has band practice. To calculate the time between the finish of the project and the start of band practice, subtract 3:17 p.m. from 4:00 p.m.

4:00 p.m. - 3:17 p.m. = 43 minutes

As a result, Tony had 43 minutes between the completion of his math project and the start of band practice.

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The Correct question:

Tony started his math project at 1:57 p.m. and finished the project 80 minutes later, tony has band practice at 4:00 p.m. How much time did Tony have between the end of the project and the beginning of band practice?

Answer:

i think its B or A

Step-by-step explanation:

The probability that a female student does not have an A is 7/29.

We have,

Total number of students in the class (n) = 29

Number of female students (F) = 10

Number of students with an A (A) = 20

Number of male students without an A = 2

So, the probability that a female student does not have an A

= number of females that do not have an A / total number of females

= (29 - 20 - 2 )/ 29

= 7/29

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Since a reflection flips the figure across average line and changes the figure's orientation, it does not maintain congruence.

In order to produce a new figure on a coordinate grid, a figure must undergo a transformation. When two figures are congruent, their size and shape match. A transformation that doesn't alter the figure's size or shape maintains congruence. Congruence is lost through the usual change of reflection. This is such that the figure's orientation is altered by flipping it over a line. For instance, if a figure is mirrored over the x-axis, the initial orientation of the figure will be reversed. This is because the reflection operation flips the figure over the x-axis, causing the orientation to be reversed. Other transformations that do not preserve congruence include enlargement and rotation. Enlargement and rotation both change the size and orientation.

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The area of the region enclosed by the curve y² = x²(1 − x²) is 1/6.

To find the area, we can integrate the square root of the expression inside the curve from x=0 to x=1. This gives us the definite integral ∫(0 to 1) √(x²(1 − x²)) dx = 1/6.


The equation y² = x²(1 − x²) represents a curve that is symmetric about both the x-axis and the y-axis. To find the area enclosed by this curve, we need to integrate the square root of the expression inside the curve from x=0 to x=1.

We can simplify the expression inside the square root as follows: x²(1 − x²) = x² - x⁴. So, the area of the region can be found by evaluating the definite integral ∫(0 to 1) √(x² - x⁴) dx.

We can use substitution to evaluate this integral. Let u = x² - x⁴, then du/dx = 2x - 4x³. Rearranging, we get x(2 - 4x²) dx = 1/2 du. So, the integral becomes 1/2 ∫(0 to 1) √u du.

Integrating this gives us (1/2) * (2/3) * u³/² evaluated from 0 to 1, which simplifies to 1/3. However, since we used the substitution u = x² - x⁴, we need to multiply the result by 2 to account for the other half of the curve, giving us a final answer of 1/6.

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Answer:

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Significant zeros are zeros that contribute to the precision of a number, while nonsignificant zeros are placeholders or indicate the magnitude of a number.

Significant zeros are zeros that are considered significant and contribute to the precision of a number. They are located between nonzero digits or at the end of a number with a decimal point.

For example:

In the number 4,503, the zeros between 4 and 3 are significant.

In the number 0.00856, the zeros after the decimal point and before the 8 are significant.

Nonsignificant zeros, on the other hand, are zeros that do not contribute to the precision of a number and are used for placeholders or to indicate the magnitude of a number. They are typically located at the beginning or end of a number without a decimal point. Examples include:

In the number 0420, the zero at the beginning is nonsignificant.

In the number 0.003, the zeros before the decimal point is nonsignificant and serve as placeholders.

It's important to note that the significance of zeros can vary depending on the context and the rules of significant figures or decimal places being used in a specific calculation or measurement.

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The angle between vector A and vector -3A, when they are drawn from a common origin, is 180 degrees.

When we have two vectors drawn from a common origin, the angle between them can be determined using the dot product formula. The dot product of two vectors A and B is given by the equation:

A · B = |A| |B| cos θ

where |A| and |B| represent the magnitudes of vectors A and B, and θ represents the angle between them.

In this case, vector A and vector -3A have the same direction but different magnitudes. Since the dot product formula involves the magnitudes of the vectors, we can simplify the equation:

A · (-3A) = |A| |-3A| cos θ

-3|A|² = |-3A|² cos θ

9|A|² = 9|A|² cos θ

cos θ = 1

The equation shows that the cosine of the angle between the two vectors is equal to 1. The only angle that satisfies this condition is 0 degrees. However, we are interested in the angle when the vectors are drawn from a common origin, so we consider the opposite direction as well, which gives us a total angle of 180 degrees.

Therefore, the angle between vector A and vector -3A, when they are drawn from a common origin, is 180 degrees.

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Answer:

Factor 25−64x2

−64x2+25

=(8x+5)(−8x+5)

Answer:

(8x+5)(−8x+5)

The probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.

To calculate the probability that the sample mean will be between $10 and $10.2, we need to use the properties of the sampling distribution of the sample mean. Under certain assumptions (e.g., a large sample size or normality of the population distribution), the sampling distribution of the sample mean follows a normal distribution.

Given that the population mean is $10.2 and the population standard deviation is $1.4, we can use the Central Limit Theorem to approximate the distribution of the sample mean. The Central Limit Theorem states that for a sufficiently large sample size, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

In this case, the sample size is 39, which is considered reasonably large. Therefore, we can approximate the distribution of the sample mean as a normal distribution with a mean of $10.2 and a standard deviation of σ/√n, where σ is the population standard deviation and n is the sample size.

The standard deviation of the sample mean is calculated as follows:

Standard deviation of the sample mean = σ/√n = 1.4/√39 ≈ 0.224

To find the probability that the sample mean will be between $10 and $10.2, we need to calculate the z-scores for both values and then use the standard normal distribution (z-distribution) to find the probability.

The z-score for $10 is calculated as follows:

z1 = (10 - 10.2) / (0.224) ≈ -0.893

The z-score for $10.2 is calculated as follows:

z2 = (10.2 - 10.2) / (0.224) = 0

Now, we can use a standard normal distribution table, calculator, or software to find the probabilities associated with these z-scores.

The probability that the sample mean will be between $10 and $10.2 is equal to the probability of having a z-score between -0.893 and 0.

Using a standard normal distribution table or calculator, the probability can be calculated as follows:

P(-0.893 ≤ Z ≤ 0) ≈ P(Z ≤ 0) - P(Z ≤ -0.893)

Looking up the values in a standard normal distribution table or using a calculator, we find:

P(Z ≤ 0) ≈ 0.5 (probability of being less than or equal to the mean)
P(Z ≤ -0.893) ≈ 0.1856

Therefore,

P(-0.893 ≤ Z ≤ 0) ≈ 0.5 - 0.1856 ≈ 0.3144

Hence, the probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.

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Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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The figure of post-glacial sea level rise since the most recent retreat of the North American ice sheet shows that global sea levels were significantly lower about 10,000 years ago when the Holocene began.

During this time, much of the Earth's water was still locked in ice sheets and glaciers from the previous ice age.

Estimates suggest that global sea levels were around 120 meters (394 feet) lower than present-day levels during the peak of the last ice age, which occurred around 20,000 years ago. By the time the Holocene began approximately 10,000 years ago, significant melting had already occurred, resulting in a rise in sea levels.

While the exact amount by which global sea levels were lower 10,000 years ago may vary depending on specific regional factors, it is generally estimated that sea levels were still considerably lower than today, likely by several tens of meters.

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The recursion, and subsequent terms are defined in terms of previous terms in the sequence

A) The recursive definition for the sequence An is:

An = (4n-2)An-1 + 4Ao, with A1 = 4Ao.

B) The recursive definition for the sequence An is:

An = n(n+1)An-1 + Ao, with A1 = Ao.

C) The recursive definition for the sequence An is:

An = 1 + (-1)nAn-2tAo, with A1 = Ao and A2 = 1 - Ao.

D) The recursive definition for the sequence An is:

An = n^2An-1 + Ao, with A1 = Ao.

These recursive definitions define each term of the sequence An as a function of one or more previous terms in the sequence, starting with a basis case. The basis case provides the starting point for the recursion, and subsequent terms are defined in terms of previous terms in the sequence.

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Answer:

\(10.4\)

Step-by-step explanation:

The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.

In a right triangle, \(\tan\theta=\frac{\text{opp}}{\text{adj}}\). Therefore, we have the following equation, where \(x\) is distance between the bottom of the ladder to the base of the wall:

\(\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}\).

Answer:

242 sandwiches

Step-by-step explanation:

The group wants to make x number of sandwiches.

They have already made 132 sandwiches and still have 110 sandwiches to make.

To find the total, you can add these numbers up, because:

132 + 110 = total sandwiches

This way, you get 242 sandwiches

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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To ensure that the hamburger is not kept in the refrigerator for more than 2 days on average, the food truck should have a maximum of approximately 42.86 pounds of hamburger.

Given that the food truck sells an average of 1200 burgers per week, and it operates 7 days a week, we can calculate the total burgers sold per day:

Burgers per day = Total burgers per week / Number of days per week

Burgers per day = 1200 burgers / 7 days

Burgers per day ≈ 171.43 burgers

Since each burger uses 0.25 pounds of hamburger, we can calculate the maximum pounds of hamburger needed per day:

Pounds of hamburger per day = Burgers per day * Hamburger per burger

Pounds of hamburger per day = 171.43 burgers * 0.25 pounds/burger

Pounds of hamburger per day ≈ 42.86 pounds

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The maximum pounds of hamburger that should be stored in the food truck to ensure freshness and avoid exceeding 2 days on average is approximately 42.86 pounds.

To ensure that the hamburger is not kept in the refrigerator for more than 2 days on average, we need to calculate the maximum pounds of hamburger that should be stored in the food truck.

Average number of burgers sold per week = 1200

Number of operating days per week = 7

Weight of hamburger per burger = 0.25 pounds

To calculate the maximum pounds of hamburger, we can use the following formula:

Maximum pounds of hamburger = Average burgers sold per day × Number of days

First, we calculate the average number of burgers sold per day:

Average burgers sold per day = Average burgers sold per week / Number of operating days per week

Average burgers sold per day = 1200 / 7

Average burgers sold per day ≈ 171.43 (rounded to two decimal places)

Now, we can calculate the maximum pounds of hamburger:

Maximum pounds of hamburger = Average burgers sold per day × Weight of hamburger per burger

Maximum pounds of hamburger = 171.43 × 0.25

Maximum pounds of hamburger ≈ 42.86 (rounded to two decimal places)

Therefore, the maximum pounds of hamburger that should be stored in the food truck is approximately 42.86 pounds.

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To answer this question, the first step we have to follow is to set 3 equations for the 3 triangles according to the pythagorean theorem:

From this, we can use the first two equations and make them equal:

Now, we can use the expression for BC and replace it in the third equation:

Replace for the known values and solve for AB^2 (remember that AC=AD+DC):

Using this value of AB^2 and the value of AD, we can use the second equation to find BD:

It means that BD has a measure of 12.

The correct answer is a. 12.

Perimeter of the room left after removing the corner, using the Pythagoras theorem = 76ft.

According to the Pythagoras theorem, the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Imagine that BC² = AB² + AC² exists in the ABC triangle.

In this equation, AB stands for the base, AC for the altitude, and BC for the hypotenuse. It should be remembered that a right-angled triangle's hypotenuse is its longest side.

Now here, sides of the rectangle are, l = 22ft and b = 19ft.

A right triangle is removed from the corner.

The dimension of the triangle becomes height =12ft and base = 9ft.

As it's a right triangle, the hypotenuse using the Pythagoras theorem =

√ (12² + 9²)

=√ 225

= 15ft.

Now, the perimeter of the shape left after removing the triangle =

22ft + 19ft + 10ft + 15ft + 10ft

= 76ft.

Therefore, the perimeter of the room =76feet.

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Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease