Ben's living room is a rectangle measuring 12 yards by 192 inches by how many feet does the length od the room exceed the width?

x^2 + y^2 - 10y + (-85) is equation of the circle with center (0, -5) containing the point (-√109,-6).

To find the equation of a circle with a given center and containing a given point, we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the center of the circle and (x2, y2) is the point on the circle. In this case, the center of the circle is (0, -5) and the point on the circle is (-√109, -6). Plugging these values into the distance formula, we get:

d = √((-√109 - 0)^2 + (-6 - (-5))^2)

d = √((-√109)^2 + (-1)^2)

d = √(109 + 1)

d = √110

Since the point (-√109, -6) is on the circle, the distance from the center of the circle to this point is the radius of the circle. Therefore, the radius of the circle is √110.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -5) and the radius is √110, so the equation of the circle is:

(x - 0)^2 + (y - (-5))^2 = (√110)^2

x^2 + y^2 - 10y + 25 = 110

x^2 + y^2 - 10y + (-85) = 0

This is the equation of the circle with center (0, -5) and containing the point (-√109, -6).

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The median of 1,2,3,4,5 is 3.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

Here we have to find the median of 1,2,3,4,5.

Here we can see that there are 5 numbers given

so, n= 5  which is an odd number so we will use the formula for finding the median in the case of the odd number of data.

So, M = 5+1/2 = 3

Thus the median is the 3rd term which is 3.

Therefore, the median of 1,2,3,4,5 is 3.

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Therefore  the probability that the chip belongs to bowl c is 1/3.

Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range. If an event has a probability of 1, it is very certain to occur; if it has a probability of 0, it has no chance of occurring. There are 45 chances out of 100 that an event will occur when its probability is 0.45 (45%).

Here,

A : 2 Red chips

B : 2 White chips

C: One Red and one White chip

P(selecting any bowl) = 1/3

1) We have to find P(W).

The selected chip can be white if it is either selected from Bowl B or Bowl C.

Symbolically this can be written as

P(W) = P(Bowl B and White chips) + P(Bowl A and White chips)

P(W) = [(1/3) × 1/1)] + [(1/3) × (1/2)]

P(W) = (1/3) + (1/6)

P(W) = 1/2

P(W) = 0.5

2) There is only one bowl with both of white and red chips and that bowl is bowl C. So it is possible the other chips in the bowl to red only if it has been selected from Bowl C.

So ,We need to find P(Bowl C | W).

P(Bowl C | W) = P(Bowl C and W)/P(W)

P(Bowl C | W) = (1/3) × (1/2)/(1/2)

P(Bowl C | W) = 1/3

Hence, the required probability is 1/3.

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Using system of linear equations, Amelia spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges

System of linear equations is the set of two or more linear equations involving the same variables. A linear equation can be defined as the equations of the first order, whereby the highest power of the variable in the equation is one.

To solve this problem, we have to write a system of linear equation;

Let;

We can represent the problem with two set of equations as;

x + y = 120 ...eq(i)

x = 3y + 10 ...eq(ii)

From equation 1

x + y = 120

x = 120 - y ..eq(iii)

Put eq(iii) into eq(ii)

120 - y  = 3y + 10

collect like terms

120 - 10 = 3y + y

110  = 4y

y = 110 / 4

y = 27.5 minutes

Put y = 27.5 in equ(i)

x + 27.5 = 120

x = 120 - 27.5

x = 92.5 minutes

She spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges.

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Yes, you can claim sickness benefits on universal credit.

Here we have to find out if it is possible to claim the sickness benefit on Universal credit.

In order to find that, we must know the definition of universal credit,

The term universal credit refers to a payment to help with your living costs.

Here we have to know that as per the definition of universal credit here you can self-certify for up to the first 7 days of your claim by notifying Universal Credit that you have a health condition that prevents you from working. Then on the 8th day, your condition persists and if you have not already done so, then you will definitely need to submit medical evidence in order to claim for benefit.

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Answer:

Step-by-step explanation: it is b

The expression which represents the sum of polynomials (9-3x²) and (-8x²+4x+5) is -11x² + 4x + 14

What is polynomial equation?

A polynomial equation is an algebraic equation that consists of variables and coefficients, which are often real numbers, and exponents which are non-negative integers. Polynomial equations can have one or more terms, and can involve addition, subtraction, multiplication, division, and exponentiation.

According to the given question:

The sum of polynomials can be calculated by combining like terms where there are multiple of the same variable.

= (9-3x²) + (-8x²+4x+5)

= 9 - 3x² - 8x² + 4x + 5

= -11x² + 4x + 14

Therefore, the expression which represents the sum of polynomials (9-3x²) and (-8x²+4x+5) is -11x² + 4x + 14

Complete question:

Which expression can be used to find the sum of the polynomials?

(9-3x²) and (-8x²+4x+5)

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An asymptote is a line that a curve approaches but never touches, so it is not part of the curve itself. As a result, an asymptote is not a function. However, the curve that approaches an asymptote may or may not be a continuous function.

A function is continuous if it is defined for all values in its domain and there are no breaks or jumps in the graph of the function.

For example, consider the function f(x) = 1/x. This function has a horizontal asymptote at y = 0, but it is not continuous at x = 0 because the value of the function is undefined at this point (division by zero is not allowed).

On the other hand, consider the function f(x) = ². This function has no asymptotes and is continuous for all values of x.

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Answer:

There are an infinte amount of whole numbers

Step-by-step explanation:

7 examples are, 0, 3, 7 , 8 ,9 14, 39

The numerator for the rational expression is 6

Let us assume the value of numerator to be x

[tex]\frac{2}{f} +\frac{4}{f} = \frac{x}{f}[/tex]

Since these are fractions with same denominators (like fractions),

[tex]= > \frac{2}{f} +\frac{4}{f} \\\\ = \frac{2 +4}{f}\\\\= \frac{6}{f}[/tex]

x = 6

The numerator for the rational expression is 6

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The best estimate of your maximum cumulative funding needed, based on the projected revenue and the expenses is $ 4, 000.

The maximum cumulative funding needed would be the amount that would be total gap between revenue and expenses in the three years that the plan will be in effect.

In year 1, the gap is :
= 5, 000 - 9, 000

= $ - 4, 000

In year 2, the gap is:

= 8, 000 - 9, 000

= $ - 1, 000

In year 3, the gap is:
= 10,000 - 9, 000

= $ 1, 000

The cumulative funding needed is :
= ( -4,000 + - 1, 000 ) + 1, 000

= - $4, 000

You have a maximum cumulative funding needed of $ 4, 000.

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The z-score 30 points below the mean is -3

The normal distribution of scores has a standard deviation(σ) of 10

Below the mean is (X-μ)=-30

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Z=(X-μ)/σ

Z=-30/10

Z=-3

Therefore, the z-score is -3.

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The nature of the roots of the given equation x^2 - 3x - 4 = 0 is real and unequal.

The general form of a quadratic equation is ax^2 + bx +c = 0.

Comparing the given equation x^2 - 3x - 4 = 0 with the general form of quadratic equations, we get that:

a = 1,  b = -3 and c = -4

If b^2 - 4ac > 0, then we say that the nature of the roots of the equation is real and unequal.

Therefore,  b^2 - 4ac = (-3) ^ 2 - 4 x 1 x (-4) = 25 >0

Hence, we conclude that the nature of the roots of the given equation is real and unequal.

The question is incomplete, the complete question is:

What is the nature of the roots of x² − 3x - 4 = 0?

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No They can not because you need to be at least 62 years old

Answer:

Step-by-step explanation:

Example:

If you have the inequality 3<(x/9)+7

Begin with subtraction by subtracting 7 from both sides, rather than beginning with the parentheses x/9.

Do all processes to both sides of the inequality until you have solved for x.

Example: As mentioned in the previous step, you would begin by subtracting 7 from both sides.

So 3<(x/9)+7 becomes, -4<x/9

Now you would multiply both sides by 9 because the fraction x/9 is the same as x divided by 9, and the opposite of division is of course multiplication.

This process leaves you with the solution, -36<x, so x is greater than -36.

Remember that if your problem requires you to multiply or divide by a negative number, then you need to flip the inequality sign when you do so.

For example: If instead of multiplying by 9 in the previous problem you had to multiply by -9, you would get 36>x rather than 36<x.

Answer:

y=1.4x

Step-by-step explanation:

Find the relationship.

1.4/1=1.4

2.8/2=2.8

and so on so we know it is 1.4

so y=1.4x

Answer:

Step-by-step explanation:

To model the relationship between Vreel's rews and corazs, we can set up a system of equations in standard form.

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants and x and y are variables.

We know that Vreel purchased a total of 22 rews and corazs, and that the rews cost $8 each and the corazs cost $3 each. We can use this information to set up the following two equations:

The first equation represents the total cost of the rews: 8x + 0y = 96

The second equation represents the total number of rews and corazs that Vreel purchased: 1x + 1y = 22

Together, these two equations form a system of equations that can be used to model the relationship between Vreel's rews and corazs.

I hope this helps! Let me know if you have any other questions.

The mode for a particular set of observations is 2,3,4,5,6 since it occurs the majority of the time.

The mode formula is described in statistics as the formula for calculating the mode of a given collection of data. The value that occurs most frequently in a particular set is referred to as the mode, and the mode differs across grouped and ungrouped data sets. The mode may be calculated quite easily. Put all of the numbers in a given set in order, either lowest to highest or highest to lowest, and then count how many times each number appears in the set. The mode is the one that appears the most.

Here,

given set of observation:

2 2 2 3 3 3 4 4 4 5 5 5 6 6 6

Mode is the number which occurs the highest time.

So here 2,3,4,5,6 occurs the highest times(3 times).

So,2,3,4,5,6 is the mode.

The mode for given set of observation is 2,3,4,5,6 as it occurs most time.

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The solution of the given equation 2x + y = 10 is equal to option b. x = 2 and y = 6.

As given in the question,

Given equation is equal to :

2x + y = 10

Simplify and Check which given option represent the solution of the equation :

a. x = 9

2(9) + y = 10

⇒y = -8

Incorrect option.

b. x = 2

2(2) + y = 10

⇒y = 6

Correct option.

c. x = 1

2(1) + y =10

⇒y = 8

Incorrect option

d. x =4

2(4) + y = 10

⇒y = 2

Incorrect option

Therefore, for the given equation 2x + y = 10 , option b . x = 2 and y = 6 is the correct answer.

The given question is incomplete , the complete question is :

Which of the following is a solution of the equation 2x + y = 10?

a. x = 9 and y = 3

b. x = 2 and y = 6

c. x = 1 and y = 7

d. x = 4 and y = 3

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Answer:

Eighth half-hour

Step-by-step explanation:

Given pattern:

Calculate the differences between the number of bows used:

[tex]12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16[/tex]

Therefore, the pattern for the bows used is:

If the pattern continues:

[tex]12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20[/tex]

Create a table with the given and found data, and add a cumulative total column:

[tex]\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}[/tex]

If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.

The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

What is Inequalities of equations ?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.Inequality simply means that two things aren't equal. One of the items could be inferior to, superior to, greater than, or equivalent to the other things.
p ≠ q means that p is not equal to qp &lt; q means that p is less than qp &gt; q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q
Different kinds of inequality exist. Important inequities include the following: the inequalities of polynomials
Inequalities in absolute values
Logic-based disparities
Calls made by Hazar = 2370
Calls recieved by Hazar = 1645Let the number of Calls by Huzan be x.
And the number of calls recieved by Huzan be y.
Then the inequalities arex&lt; 2370 and y&gt; 1645
The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

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The three semantics models of parameter passing for subprograms are:  in mode, out mode, and inout mode

In this question we need to describe the three semantics models of parameter passing for subprograms.

The three semantics models of parameter passing for subprograms are:

1) in mode: They can receive data from corresponding actual parameters.

2) out mode: They can transmit data to the actual parameter.

3) inout mode: They can do both.

There are two conceptual models of how data transfers take places in parameter transmission: either an actual value is copied (to the caller, to the callee, or both ways), or an access path is transmitted.

Generally, the access path is a simple pointer or reference.

Therefore, in mode, out mode, and inout mode are 3 semantics models of parameter passing for subprograms

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Answer:

9 :)))))))))))

The system of equations of line parallel to y = -5x + 4 is y = -5x + c where c is any arbitrary value of y-intercept.

The linear equation y = -5x + 4 is a straight line with slope -5 and y-intercept 4.

The slope of parallel lines are equal. So any line with slope -5 is parallel to the line y = -5x + 4. So the equation of a line with slope -5 is

y = -5x + c

where c is a constant

c represent arbitrary value of y-intercept.

For example y = -5x + 2 is a straight line parallel to y = -5x + 4 but having value of y-intercept equal to 2.

--The question is incomplete, answering to the question below--

"What is parallel to y = -5x + 4?"

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Answer:

exterior angle = 180° - 120°

                        = 60°

Answer:

60 degrees

Step-by-step explanation:

180-120=60

The graph of the equation y = 7.5x shows the proportional relationship.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = 7.5x.

The graph of the equation y = 7.5x is shown below.

At x = 1, the value of y = 7.5,

At x = 2, the value of y = 7.5 x 2 = 15

At x = 3, the value of y = 7.5 x 3 = 22.5

And so on.

The value of y multiplied by 7.5 by increasing value of x by 1.

Thus, the graph of the equation  y = 7.5x shows the proportional relationship.

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Answer:

D. Increase in assets

Step-by-step explanation:

The entry "Cash 750,000" is listed as a debit in the T-account because it is an increase in assets. In double-entry bookkeeping, a debit is used to record an increase in assets and a credit is used to record a decrease in assets. In this case, the business received cash in exchange for the airplane, which represents an increase in the business's assets. So the Cash account is debited and the Airplane account is credited.

Answer:

3

Step-by-step explanation:

The lower bound of f-g is 41.31 .

The upper bound of f-g is  41.49 .

Given,

A number 'f' rounded to 1 decimal point is Number = 49.2

A number 'g' rounded to 1 decimal point is  Number = 7.8

Now,

The range of f rounded to 1 decimal point is [49.15 , 49.24].

The range of g rounded to 1 decimal point  is [7.75 , 7.84].

So,

Lower bound of f-g = 49.15 - 7.84

Lower bound of f-g = 41.31

Next,

Upper bound of f-g = 49.24 - 7.75

Upper bound of f-g = 41.49

Therefore the lower bound of f - g is 41.31 and upper bound of f - g is 41.49.

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