A bank requires that the Dotkoms pay their homeowner's insurance, property taxes, and
mortgage in one monthly payment to the bank. If their monthly mortgage payment is $1,711.22,
their semi-annual property tax bill is $3,239, and their annual homeowner's insurance bill is
$980, how much do they pay the bank each month?

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

The probability that the number shown in the die is even is 0.500 rounded to three decimal places.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that a die is rolled.

There are 6 faces for the die marked 1 to 6.

Sample space = {1, 2, 3, 4, 5, 6}, possible outcomes.

Total number of outcomes = 6

Even numbers are 2, 4 and 6.

number of outcomes which are even = 3

Probability = Number of desired outcomes / total outcomes

                  = 3 / 6

                  = 1/2

                  = 0.500

Hence the probability rounded to three decimal places is 0.500.

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Answer:

is there no button to check if it's right or wrong? Cuz i use big ideas too, and it usually does

Step-by-step explanation:

.

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

2 is the required answer.

Step-by-step explanation:

Solution:

Given:

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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The predicted amount of debt for a financial education time of 34 hours is $26,350.

The predicted amount of debt for a financial education time of 24 hours is $31,550.

For the given information, we need to know the regression equation that relates financial education time and amount of debt to predict the amount of debt for different time durations.

Assuming a linear relationship between financial education time and amount of debt, we can estimate the regression equation as:

where a and b are the intercept and slope of the regression line, respectively, and Error is the random error term.

Using the given data points, we can estimate the regression line as:

(a) For a financial education time of 34 hours:

Therefore, the predicted amount of debt for a financial education time of 34 hours is $26,350.

(b) For a financial education time of 24 hours:

Therefore, the predicted amount of debt for a financial education time of 24 hours is $31,550.

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Answer:

174 people preferred drinking water.

Step-by-step explanation:

Given that:

A total of 450 males and females were surveyed.

203 were males.

Number of females = 450 - 203 = 247 females

247 females were surveyed.

Now, we will find the number of females who prefer water.

Let,

x be that number.

Total number of females = Soda + Iced tea + Lemonade + Water

247 = 28 + 44 + 67 + x

247 = 139 + x

247-139 = x

x = 108

Number of people who prefer water = 108 + 66 = 174

Hence,

174 people preferred drinking water.

Answer:

∠XZY is 44 degrees

∠WZX is 128 degrees

Step-by-step explanation:

Adjacent angles are two angles that share a common side and a common vertex. The measure of the two angles ∠XZY and ∠WZX added together is the sum of the adjacent angles, which is 172 degrees.

3x - 4 + x = 172

4x - 4 = 172

4x = 176

x = 44

3(44) - 4 =

132 - 4 =

128

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

Answer:

B

Step-by-step explanation:

\(\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}\)

\(\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n\)

The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.

To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.

The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.

To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:

Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400

Then we add the number of people who migrated:

Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants

= 1,20,000 + 5,400 + 20,000

= 1,45,400 + 20,000

= 1,65,400

To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.

The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:

Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444

Total population in 2080 = 1,65,400 + 7,444

= 1,72,844

To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:

Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779

Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081

= 1,72,844 + 7,779

= 1,80,623

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Answer:

x=2

Step-by-step explanation:

4 x1,2 =2

The correct statement which compares the graph of function g with the graph of function f is,

⇒ The graph of function g is a vertical compression of the graph of function f.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

f (x) = eˣ - 4

g (x) = 1/2eˣ - 4

Now, We have to find that;

The graph of function g is a vertical compression of the graph of function f.

Hence, The correct statement which compares the graph of function g with the graph of function f is,

⇒ The graph of function g is a vertical compression of the graph of function f.

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Answer:

Step-by-step explanation:

180m = 180 * 100 = 18000 cm

Scale factor = 6 : 18000

                    = 1 : 3000

Length of other two sides:

8*3000 = 24000 cm  = 240 m

9 * 3000 = 27000 cm = 270 m

The only rule to follow is

Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder

Here is a sample

\(\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7\)

Answer:

A

Step-by-step explanation:

thanks for branliest :)

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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Answer:

not understanding meaning of your question

Step-by-step explanation:

sooooooooooooorrrrrrrrrrrrrrrrrryy

The y-intercept is -6, when the coordinate is -3,-3 and the slope is -1

More specifically, it is defined as the ratio of the change in the y-coordinate (vertical) to the change in the x-coordinate (horizontal) between any two points on the line or surface.

The slope of a line is often denoted by the letter "m" and can be calculated using the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

A positive slope indicates that the line is rising from left to right, while a negative slope indicates that the line is falling from left to right. A slope of zero indicates that the line is horizontal.

The slope of a surface can be calculated using partial derivatives. The slope of a surface at a point is the slope of the tangent plane at that point.

Slope is an important concept in mathematics, physics, and engineering, and is used to calculate rates of change, velocities, and accelerations, and to model relationships between variables. It is also used in a variety of practical applications, such as in construction and surveying, where it is necessary to determine the slope of the land.

To find the equation of the line when the coordinate is (-3, -3) and the slope is -1, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point. Plugging in the values, we get:

y - (-3) = -1(x - (-3))

y + 3 = -x - 3

y = -x - 6

The y-intercept is the point where the line intersects the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation, we get:

y = -0 - 6

y = -6

Therefore, the y-intercept is -6.

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Answer: The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

The axis of symmetry is \(x=\frac{4-1}{2}=1.5\)

Since the coefficient of \(x^2\) is positive, the graph opens upwards.

So, the function is decreasing for all real values of x where x < 1.5.

Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

Answer:

θ ≈ 64.62°

Step-by-step explanation:

In this problem we will use trig: SOH CAH TOA. Since we are given hypotenuse (line AB) and adjacent (line ) to the missing angle θ, we will use cosine.

cosθ = adjacent/hypotenuse

cosθ = 3/7

Now take inverse cosine of both sides to cancel out cosine and find the missing angle:

cos⁻¹(cosθ) = cos⁻¹(3/7)

θ = cos⁻¹(3/7)         ---->      Plug into calculator

θ ≈ 1.128 radians · 180°/π rad   ------>.  Convert from radians to degrees

θ ≈ 64.62°

Hope this helps!

Answer: The measure of angle ? is approximately 64.62 degrees.

Step-by-step explanation:

The given value 3 is adjacent to angle ? and 7 is the hypotenuse. Remembering SOH CAH TOA, that means 3/7 = cos(?). To solve, use a calculator to find the inverse cosine of 3/7, which is about 64.62. Look at https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles/trig-solve-for-an-angle/a/inverse-trig-functions-intro to get a better understanding if needed.

Answer:

9/11

Step-by-step explanation:

The green gems are red gems divided by three. The red gems are gold gems divided by six. Make the number of gold gems, g. The red gems would be g/6, and the green gems (g/6)/2=g/18. So, the total marbles would be g+g/6+g/18=18g/18+3g/18+g/18=22g/18=11g/9. Now you have to find what percent of 11g/9 is g. (11g/9)(percent)=g. The percent as a fraction is 9/11.

On solving the provided question, we can say that His poster has 2 sides of equal length. so it might be square. the poster has 4 sides of equal length.

A square is an equilateral quadrilateral with four equal sides and four equal angles according to Euclidean geometry. It is also known as a rectangle with two neighboring sides that have the same length. Having all four equal sides and all four equal angles, a square is an equilateral quadrilateral. 90 degree or straight angles are square angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. a neighboring rectangle with two equal sides. a quadrilateral with four right angles and four sides of equal length. a parallelogram having two adjacent, equal sides that form a right angle. straight-sided rhombus.

here,

His poster has 2 sides of equal length.

so it might be square.

he poster has 4 sides of equal length.

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The domain and the range of the piece-wise function are given as follows:

The domain of a function is composed by the set that contains all possible input values of the function.

In this problem, the function is a piece-wise function, as it has two different definitions. However, for each definition, the function is a linear function, which has no input restrictions, hence the domain of the function is composed by all real values.

The range of a function is composed by the set that contains all possible output values of the function.

The outputs of the function are obtained as follows:

Linear functions have no open spaces on it's domain, hence the interval that describes the range is given by:

(-∞, 4].

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Solution:

Given:

Signed numbers consist of negative numbers and positive numbers.

Rules of multiplication in signed numbers.

If the signs are the same the result is positive. If the signs are different the result is negative.

This means;

To solve these questions, we expand the brackets by multiplying the signs together using the rule of multiplying signed numbers.

Question 1:

Therefore, the correct answer is OPTION C.

Question 2:

Therefore, the correct answer is OPTION A.

Question 3:

Therefore, the correct answer is OPTION B.

Question 4:

Therefore, the correct answer is OPTION C.

Question 5:

Therefore, the correct answer is OPTION A.