14/30 as a decimal. round to the nearest hundredth​

The statement provide in the question is true. The division 100/8 yields a quotient of 12 with a remainder of 4.

When we divide 100 by 8, we can fit 12 whole 8s into 100, leaving a remainder of 4. This means that after dividing 100 by 8, we are left with a remainder of 4.

To understand this division process further, we can perform the division calculation:

      12

--------

8 | 100

     96

--------

      4

In the above division calculation, we divide 100 by 8. The quotient is 12, which represents the number of whole 8s that can be divided evenly into 100. The remainder is 4, which is the amount left over after dividing as much as possible. This indicates that 100 can be expressed as 8 times 12 plus the remaining 4.

Therefore, the division 100/8 results in a quotient of 12 with a remainder of 4.

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The monthly periodic interest rate on a credit card with a 24.99% APR is 0.0685% .

Hence, the monthly periodic interest rate on a credit card with a 24.99% APR is 0.0685% .

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The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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Answer:

6.25 m/s

Step-by-step explanation:

There is an equation for this

SPEED (M/S) = DISTANCE (M) / TIME (S)

so if we put 375 as the distance and put 60 for time , you see that it is coming together

375m/60s = 6.25 m/s

(m/s stands for metres per second)

Answer:

Tip: \($10.44\)  

Total: \(80.01\)

Step-by-step explanation:

\(\frac{x}{69.57} =\frac{15}{100} \)

\(\frac{100x}{100} =\frac{1043.55}{100} \\ x=10.4355\)

\(69.57+10.44=80.01\)

Answer: -3 and -4

Step-by-step explanation:

The sum of -3 + -4 = -7

The product of -3 x -4 = 12 (a negative times a negative equals a positive)

The natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

To find the natural values of n for which the difference (2-2n) - (5n-27) is positive, we need to simplify the expression and then solve for n.

(2-2n) - (5n-27) = 2 - 2n - 5n + 27

= -7n + 29

So, we need to find the natural numbers n for which -7n + 29 > 0.

To do this, we can solve for n as follows

-7n + 29 > 0

-7n > -29

n < 29/7

Since n is a natural number, it must be an integer greater than or equal to 1. Therefore, the natural values of n for which the difference (2-2n) - (5n-27) is positive are 1, 2, 3, and 4.

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The diagonal of a parallelogram bisects, so BE and DE are congruent, and AE is congruent with itself.

Assume that all four of it's angles at point E are 90°.

and Therefore, it is a congruence.

Triangles ABE and ADE are congruent through a side.

Therefore AB and AD are congruent.

Since opposite sides of a parallelogram are congruent, AD and BC are congruent and AB and CD are congruent.

Therefore all four sides are congruent. Therefore ABCD is a rhombus.

A parallelogram is a two-dimensional flat shape which is formed from two pairs of ribs and each of them is the same length and has two angles that are the same size in front of it.

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Given that the point (56,33) lies on the terminal side of an angle θ, we can determine the exact values of sin(θ), cos(θ), |tan(θ)|, csc(θ), sec(θ), and |cot(θ)|.

To determine the values of the trigonometric functions at angle θ, we can use the given coordinates of the point (56,33) on the terminal side of θ. Let's label the sides of the right triangle formed by the point (56,33) as follows: the vertical side as y = 33 and the horizontal side as x = 56.

First, we can find the value of the hypotenuse using the Pythagorean theorem: hypotenuse = \(\sqrt{(x^2 + y^2)}\) = \(\sqrt{(56^2 + 33^2)}\).

Using this information, we can calculate the values of the trigonometric functions as follows:

1.sin(θ) = y/hypotenuse = \(\frac{33}{\sqrt{(56^2 + 33^2)} }\).

2.cos(θ) = x/hypotenuse = \(\frac{56}{\sqrt{(56^2 + 33^2)} }\).

3.|tan(θ)| = \(|\frac{y}{x} |\) = \(\frac{33}{56}\).

4.csc(θ) = 1/sin(θ).

5.sec(θ) = 1/cos(θ).

6.|cot(θ)| = 1/|tan(θ)|.

By plugging in the values of x and y into the above equations, we can calculate the exact values of sin(θ), cos(θ), |tan(θ)|, csc(θ), sec(θ), and |cot(θ)|.

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The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

X=-2

Y=-1

Step-by-step explanation:

Answer:

(x,y)= (19/3, 13/3)

Step-by-step explanation:

y=x+2

x=-19/3

substitute the value of x

y= 19/3 + 2

y= 13/3

(x,y)= (19/3, 13/3)

check the solution

-13/3 =19/3 + 2

3 × (-19/3) + 5= 14

-13/3= -13/3

-14= -14

answer: (x,y)= (19/3, 13/3)

The correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

Let's evaluate each option one by one:

I. x² < 2x < 1/x² < 2 < 1

If x is positive, x² will always be greater than 1/x². Therefore, this ordering is not possible.

II. x² < 1/x² < 2x < 1 < 2

Similarly, x² will always be greater than 1/x². Therefore, this ordering is also not possible.

III. 2x < x² < 2 < 1/x² < 1

For this ordering to be true, we need to confirm that 2x is indeed less than x². Since x is positive, we can divide both sides of the inequality by x to preserve the inequality direction. This gives us 2 < x. As long as x is greater than 2, this ordering holds true. Therefore, the correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

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Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

The minimum value is 15, the maximum value is 95, and the median can be found by arranging the data in order and finding the middle value.

To draw a box and whisker plot for the given data: 35, 60, 20, 80, 95, 15, 40, 85, 75, we need to determine the five-number summary, which includes the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The minimum value is 15, the maximum value is 95, and the median can be found by arranging the data in order and finding the middle value. In this case, the median is 60.

To find the first and third quartiles, we need to divide the data into two halves at the median, and then find the median of each half.

The lower half of the data is 15, 20, 35, and 40, with a median of 27.5. The upper half of the data is 75, 80, 85, and 95, with a median of 82.5. Therefore, the first quartile is 27.5 and the third quartile is 82.5.

To draw the box and whisker plot, we start by drawing a number line that includes the range of the data (from 15 to 95).

We then draw a box that spans from the first quartile to the third quartile, with a vertical line inside the box at the median. We draw a horizontal line (whisker) from each end of the box to the minimum and maximum values.

Therefore, the box and whisker plot for the given data is shown below:

lua

Copy code

 10   20   30   40   50   60   70   80   90   100

 |              ------

 |            /        \

 |           /          \

 |        -----         |

 |      /       \       |

 |    /           \     |

 |  15              95 |

The box represents the middle 50% of the data, with the vertical line inside it showing the median. The whiskers show the full range of the data, with any outliers shown as individual points beyond the whiskers. In this case, there are no outliers.

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\({ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4} }}}}\)

\({ \large{ \sf{ \implies( \sqrt[3]{8} {}^{2} ) {}^{4} }}}\)

\({ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}\)

\({ \large{ \implies{ \sf{4 {}^{4} }}}}\)

\({ \large{ \therefore{ \sf{256} \: \: ans.}}}\)

Answer:

remainder: -400

Explanation:

\(\sf f(x) = 3x^5 + 4x^4 + 5\)

divided by x + 3

insert x = -3 in the function

\(\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5\)

\(\sf f(-3) = -400\)

Point D is the center of rotation in the given figure.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Triangle A'B'C' rotating about the point d. Observe the Positional relation between ABC and A'B'C' you can get the result. There is no more information given Otherwise i will prove it to you theoretically.

Therefore, Point D can be described as Center of rotation.

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Complete question:

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

The final expression of the algebraic expression is; (30√2)/2

The algebraic expression is expressed as;

(18/√2) - 12/√32

Now, we know that √32 can be expressed as;

√(16 * 2) = √16 * √2

= 4√2

Thus, the expression is now;

(18/√2) - 12/4√2

= (18/√2) - (3/√2)

Factorizing common factor gives;

(1/√2)(18 - 3)

= 15/√2

Rationalizing the denominator gives;

(30√2)/2

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SOLUTION:

Case: Bearing

Method:

The diagram below shows a sketch of the angles and distances

Final answer:

Yes, I agree with Andre's strategy for calculating the volume of a cylinder.

The volume of a cylinder is equal to the area of the base (which is a circle) multiplied by the cylinder's height. This formula is expressed as follows:

Volume = r2h, where r is the radius of the circular base and h is the cylinder's height.

We can use the following formula to calculate the area of the circular base:

Area = r2

So, if we multiply the area of the circular base by the cylinder's height, we get:

Volume = r2h is the formula for calculating the volume of a cylinder.

As a result, Andre's strategy of calculating the volume of a cylinder by finding the area of a circular cross section and multiplying it by the height of the cylinder is valid and correct.

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It should be noted that a relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.

A relation in mathematics simply means the relationship between two or more variables.

In this case, the relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.

On the other hand, a relation on a set that is neither symmetric nor antisymmetric will be R = {a, b) | a < = b}

This is not symmetric because a < b and v < a can never be butt true.

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Answer:

The answer, if it is addition, would be 4 + 4/5w

Step-by-step explanation:

The linear function with the largest y-intercept is the one with the coordinates (0, 5).

To determine which linear function has the largest y-intercept, we need to compare the y-values of each function when x is equal to 0.

For the given set of coordinates, we can observe that when x is -4, the y-value is -1. When x is -2, the y-value is 0.5. When x is 1, the y-value is 2.75. When x is 4, the y-value is 5. And when x is 9, the y-value is 8.75.

Comparing these y-values, we can see that the function with the largest y-intercept is the one with the coordinates (0, 5). Therefore, the linear function with the largest y-intercept is when x is 0, and y is 5.


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Based on the information, the error officer is making is not taking into account the total evidence. (Option D)

The principle of total evidence suggests using all the available observation or evidence when estimating a probability. Hence, to meet total evidence requirement (RTE) not only evidence in favor of a claim but also against it must be considered. The RTE is a basic maxim for non-deductive inference, specifying that evidence must be considered if it has relevance to an inference. The principle of total evidence is tied to inductive inference or reasoning, which is always probabilistic. Total evidence is a tool of decision-making, where the decision is to accept or reject a certain theory/hypothesis on inductive grounds. Hence, logical probability is translated into the (inductive) degree of confirmation of a hypothesis or theory, and that 'logical probability' had to be based on the total evidence available at the time. In the given case, the error the officer is making is not considering the total evidence as she is considering the probability to support her claim but not against it.

Note: The question is incomplete as it is missing options which are a. base rate neglect b. ignoring survivor bias c. heads I win, tails we’re even d. not taking into account the total evidence e. nothing is wrong with her reasoning.

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Answer:

\(\huge\boxed{\sf x = 68\ degrees}\)

Step-by-step explanation:

Let the two congruent angles both be x.

We know that the sum of interior angles of a triangle is equal to 180 degrees.

x + x + 44 = 180

2x + 44 = 180

2x = 180 - 44

2x = 136

Divide both sides by 2

x = 136 / 2

x = 68 degrees

So, Both the angles are of 68 degrees.

\(\rule[225]{225}{2}\)

Hope this helped!

The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D

The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².

This is called the standard form of the equation of a circle.

In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.

To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.

If it is true, then the point lies on the circle.

Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:

(-6 + 2)² + (-4)² = 32

(-4)² + (-4)² = 32

16 + 16 = 32

32 = 32

Since the equation is true, (-6, -4) lies on the circle.

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The appropriate sample size for a study by knowing the population standard deviation is:

1/6 of the population range.

A pilot study's sample standard deviation.

The sample standard deviation is the root-mean square of the discrepancies between observations and the sample mean: A large divergence is defined as two or more standard deviations from the mean.

The sample standard deviation (s) is the square root of the sample variance and serves as a measure of the deviation from expected values. In its most basic form, it is the average distance between the observed data and the expected values.

The population standard deviation always depends upon the population range and sample standard deviation.

Therefore, By knowing the population standard deviation it allows us to choose the appropriate sample size for a study that is:

1/6 of the population range.

A pilot study's sample standard deviation.

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