Fill in the missing numbers to create an equivalent expression (21 + 12)=_( _ + _ )

what's the blank supposed to be?

Answer:

70%

Step-by-step explanation:

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples. Hence, it is TRUE

The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do. The ANOVA test is used by analysts to ascertain how independent factors in a regression analysis affect the dependent variable.

ANOVA basically stands for analysis of the variance.

Hence, according to above statements, given fact is true.

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The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

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Answer:

x = 3a- 7/2

Step-by-step explanation:

Multiply 3 by both sides

2x+7=6a

Divide both sides by 2

x = 3a- 7/2

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

The density of this sand is 1600 kg/m³.

What is the meaning of density?

The amount of something per unit of length, area, or volume: as. : the substance's mass per unit volume. In grams per cubic centimeter, density.

Given that the dimension of a cuboid is length 45 cm, width 30 cm and height 42 cm.

The volume of the cuboid is (45 × 30 × 42) cm³

                                              = 56,700 cm³

                                              = (56,700/100³) m³

                                              = 0.0567 m³

The mass of the sand is 90.72 kg.

The density of the sand is

= mass /volume

=90.72 kg / 0.0567 m³

= 1600 kg/m³

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\(15\cos^2(x)-7\cos(x)-2=0\hspace{5em}\stackrel{\textit{let's just for a few seconds}}{\cos(x)=Z} \\\\\\ 15Z^2-7Z-2=0\implies (5Z+1)(3Z-2)=0 \\\\[-0.35em] ~\dotfill\\\\ 5Z+1=0\implies 5Z=-1\implies Z=-\cfrac{1}{5}\implies \stackrel{\textit{substituting back}}{\cos(x)=-\cfrac{1}{5}} \\\\\\ x=\cos^{-1}\left( -\cfrac{1}{5} \right)\implies x\approx \begin{cases} 101.54^o\\ 258.46^o \end{cases} \\\\[-0.35em] ~\dotfill\)

\(3Z-2=0\implies 3Z=2\implies Z=\cfrac{2}{3}\implies \stackrel{\textit{substituting back}}{\cos(x)=\cfrac{2}{3}} \\\\\\ x=\cos^{-1}\left( \cfrac{2}{3} \right)\implies x\approx \begin{cases} 48.19^o\\ 311.81^o \end{cases}\)

now, how did we get the 2nd angle in each time?

well, let's recall that cos⁻¹(x) will give us an angle only between 0 and π, so 101.54° is on the II Quadrant, however the cosine is also negative on the III Quadrant, we use the reference angle from the II Quadrant, that angle is 180 - 101.54 or 78.46°, so we add that to 180° which is where the III Quadrant starts and we get 180 + 78.46 = 258.46° or very close to that.

we do the same for the 48.19°, that's an angle on the I Quadrant, using that reference angle for the IV Quadrant, we get 360 - 48.19 or about 311.81°.

Answer:

5/3

Step-by-step explanation:

the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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The ratio of their areas is (3:8)² which simplifies to 9:64.

Area of smaller circle is 256/9 π.

The ratio of their perimeters is 5:3 since they are regular polygons with proportional side lengths.

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding sides. Since the scale factor of the polygons is 3:8, the ratio of their corresponding sides is 3:8. Therefore, the ratio of their areas is (3:8)^2, which simplifies to 9:64.

The area of a circle is proportional to the square of its radius. Let r be the radius of the smaller circle, then the radius of the larger circle is 3/2 times r. The area of the larger circle is given as 64π, so (3/2)^2 times the area of the smaller circle must also equal 64π. Solving for the area of the smaller circle, we get:

(9/4)πr^2 = 64π

r^2 = (64/9) * (4/π)

r^2 = 256/9π

Area of smaller circle = πr^2 = π * (256/9π) = 256/9 π.

The ratio of the areas of two regular polygons is equal to the square of the ratio of their side lengths. Let s1 and s2 be the side lengths of the first and second pentagons, respectively. Then we have:

Area of first pentagon / Area of second pentagon = (s1^2 / s2^2)

We are given the areas of the two pentagons, so we can plug them in and simplify:

150√3 / 54√3 = (s1² / s2²)

25 / 9 = (s1^2 / s2^2)

s1 / s2 = √(25/9) = 5/3

Therefore, the ratio of their perimeters is 5:3 since they are regular polygons with proportional side lengths.

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Answer: d 64

Step-by-step explanation:

Answer:

The correct answer to this question is D, 64 degrees.

Step-by-step explanation:

This is correct because I took the test and got 100%

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is much larger than one.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

Firstly, it is important to clarify that when people say ‘‘The Sun Will Rise Tomorrow’ they are implying only how It only appears to an observer on earth that the sun rises and sets. In reality the sun neither rises nor sets it only appears to do so because the earth takes one day (24 hours to rotate on its axis). It has appeared to do this for as long as the earth has existed (approx. 4.5 billion years). Although for the purpose of this short reflection, the idiom will signify part of the day-night process -being able to see the sun rise from the perspective of a human on earth.

Although the chances might be extremely high, they are not certain. Even thought it may be very improbably unless an infinite amount of days in which the sun has risen has occurred, the probability will not exactly be one. Ludwig Wittgenstein, Austrian-British philosopher who worked primarily in logic and philosophy of mathematics, said, “It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.” Although we may reasonably argue that the earth while rise tomorrow to a 99.99999999% chance, there still is that 0.000000001 which states that it would not in fact rise.

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Complete question is;

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.

After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?

Answer:

349 days.

Step-by-step explanation:

We are given;

Initial amount of adult beetles; A_o = 13

Amount of adult beetles after 35 days; A_35 = 26

Thus can be solved using the exponential formua;

A_t = A_o × e^(kt)

Where A_t is the amount after time t, t is the time and k is a constant.

Plugging in the relevant values;

26 = 13 × e^(35k)

e^(35k) = 26/13

e^(35k) = 2

35k = In 2

35k = 0.6931

k = 0.6931/35

k = 0.0198

Now,when the beetle population is 12000,we can find the time from;

13000 = 13 × e^(k × 0.0198)

e^(k × 0.0198) = 13000/13

e^(k × 0.0198) = 1000

0.0198k = In 1000

0.0198k = 6.9078

k = 6.9078/0.0198

k ≈ 349 days.

Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that yuan has depreciated relative to dollar.

What is meant by the exchange rate?

Last week: $1 = 0.12 yuan

Therefore, for exchange of $1, 0.12 yuan will be given

Today: $1 = 0.2

Therefore, for exchange of $1, 0.2 yuan will be given.

So, yuan will be given for same amount of $. Thus yuan has depreciated.

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Based on the angles, a triangle can be classified as either acute, right, or obtuse and based on the sides, a triangle can be classified as either equilateral, isosceles, or scalene.

To classify a triangle, we need to consider both its angles and sides. Based on the angles, a triangle can be classified as either acute, right, or obtuse.

An acute triangle has all three angles measuring less than 90 degrees. A right triangle has one angle measuring exactly 90 degrees. An obtuse triangle has one angle measuring greater than 90 degrees.

Based on the sides, a triangle can be classified as either equilateral, isosceles, or scalene.

An equilateral triangle has all three sides equal in length. An isosceles triangle has two sides of equal length. A scalene triangle has all three sides of different lengths.

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The distance between your house and school is 4.1 miles.

According to the given question.

Point c represents your house.

Point d represents post office which is directly west to the point c i.e from house.

And point e represents school which is west of the post office.

Also, it is given that the distance between house and post office, cd is 1.7 miles.

And the distance between the post office and school,de is 2.4 miles.

Now, if we see the attached figure we can say that

cd + de = ce

⇒ 1.7miles  + 2.4miles  = 4.1 miles

Hence, the distance between your house and school is 4.1 miles.

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When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.

The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.

Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.

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The question is -

The mathematical constant pi is needed when calculating the area of a _.

a. circle

b. square

c. rectangle

d. cube

Answer:

2:1

Step-by-step explanation:

We know

To get from F to G, we have to go from -2 to 2, for which the length is 4.

To get from F' to G', we have to go from -2 to 0, for which the length is 2.

What is the ratio of the sides from the big to the small rectangle?

The ratio is 4:2 = 2:1

Using PEDMAS, the result of the expression is 3

Simplification of an expression is the process of reducing a mathematical expression to its simplest form while retaining the same value. This is done by using various rules and techniques, such as combining like terms, using the distributive property, and applying the order of operations.

The goal of simplification is to make the expression easier to work with and understand. It also helps to avoid errors when solving problems or simplifying more complex expressions.

In the given problem, we can apply PEDMAS to solve the expression;

3 - 5 + 3(2 - 1) + 4 / 2 = 3

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Translation: What is the correct result of this arithmetic expression 3-5+3(2-1)+4/2

Answer:

0.5 m

Step-by-step explanation:

5÷20=0.25

0.25×2=0.5

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer: please provide more information

Step-by-step explanation:

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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The quadratic function in this problem is defined as follows:

f(x) = x² - 18x + 86.

The coefficients are given as follows:

a = 1, b = -18 and c = 86.

Hence the axis of symmetry, representing the x-coordinate of the vertex, is given as follows:

x = -b/2a

x = 18/2

x = 9.

The coefficient a is positive, hence the function has a minimum value, which is given as follows:

f(9) = 9² - 18(9) + 86

f(9) = 5.

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Part 1

Circle A: 6

Circle B: 5

Circle C: 3+ CB

Circle D: 1-R of CC

Circle C:

5+3=8

Radius: 8

Circle D

8-1=7

Radius: 7

Circle C:8

Circle D:7

Part 2

Formula: PiR^2

Circle A:

6*6=36

36*3.14=113.04

Circle C:

8*8=64

64*3.14=200.96

200.96-113.05=87.91

87.91

In the Logarithm prompt above, note that the value of In x when In x = e to the power -x is x = 1/e.

The above assertion is right because the definition of the natural logarithm denoted as In x or ln x, is that it is the inverse function of the exponential function, denoted as e to the power x or ex.

This means that if we have an equation of the form In x = ex, then we can find the value of x by simply taking the inverse of both sides of the equation.

So, if we take the inverse of both sides of the equation In x = ex, we get x = In (ex) = In e to the power x = 1/e.

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========================================================

Explanation:

All linear functions can be written into the form y = mx+b

m = slope

b = y intercept

Choice D is of that form. In this case, m = 4 and b = -8

Choices A and C involve exponents larger than 1, which is why we don't have linear equations here. If you were to graph these, you'll find they produce nonlinear curves (i.e. curves that aren't straight lines). The same goes for choice B as well. Linear equations cannot have x in the denominator.

Answer:

The number 3 in 63,297 is different then the 3 in 60,326 because the 3 in 63,297 is in the thousands place which is greater than the 3 in 60,326 because its in the hundreds place