Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0

The Sumerians were different from other people of their time as they wee more advanced.

The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.

They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.

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The statement -9z divided by 2 = 13 is a closed statement

From the question, the statement of the expression is given as

-9z divided by 2 = 13

When the statement is rewritten as an expression, it becomes

-9z/2 = 13

In the above equation, we can see that we have a variable

The variable is represeneted by z

When a mathematical statement or an expression has a variable

Then such statement is an open statement

Hence, the given expression is open

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Normal time taken for operation = 7.7

Charlene's work performance is faster than normal time.

Need to define Charlene's average time:

8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6

Avg time taken= 8.5.

Performance rating = 110/100 = 1.1

normal time taken:  8.5/1.1

normal time taken= 7.7

hence, 8.5 [tex]\geq[/tex] 7.7

Charlene is faster than normal time.

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She calls for 4/5 cup of chocolate

She had 7/3 cups of chocolate.

Maximum number of cakes a baker can make = 2

⇒I will be using the laws of exponents. As indicated below :

⇒[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.

⇒ The other law of exponents is indicated below:

⇒[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]

This means that if you are dividing powers of the same base you keep one base and subtract the exponents.

N.B : BODMAS RULES ALSO APPLY

[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]

Attached is your solution. Goodluck!!

Firts get the equation

Second, write the equation in form of Ax +

Brand A bags typically weigh more because the median of brand A is higher than that of brand B and is denoted as option A.

This is referred to as the middle value which separates the higher half from the lower half of a data or distribution. This is calculated by first ordering the numbers which could be from the lowest to highest or vice versa.

A data sample which has a higher figure as the median means that it has higher values present in the data distribution. This term provides an insight on certain properties of the values of the data which are given.

In this scenario, the median of brand A is higher than that of brand B which means that it has more weight and is therefore the reason why option A was chosen as the correct choice.

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The temperature change from a 5 - kilometer altitude increase is 35 degrees.

It is given in the question that for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius.

We have to find the temperature change from a 5-kilometer altitude increase.

As, for 1 km altitude increase, the temperature drops by 7 degrees, hence by using unitary method, we can say that,

For 5 km altitude increase, the temperature will decrease by 7*5 = 35 degrees.

Unitary Method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

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Answer:

y = -5x + 6

Step-by-step explanation:

Looking at the graph it looks that the slope of the line is -5

and the y intercept is (0, 6)

So the slope intercept form is y = -5x + 6

this should be correct hope this helps

The slope for lot size is not different from 0.

We will let the slope of the size be β

So the hypothesis can be:  β = 0  (Null Hypothesis)  ,  β≠ 0 (Alternate Hypothesis)

If we consider a confidence level (the probability for which we can be confident that the null hypothesis is true) to be 95% (Probability = 0.95) then the level for which we are not confident that the null hypothesis is true will be (100 - 95)% = 5% (Probability = 0.05)

Thus, for this coefficient the P value is 0.5782.

As the p-value is more than the Probability for which we are not confident (0.05), so in this regard we can state then there is no such significance difference seen in this regard. Thus, we accept the null hypothesis here. This means that we can take the coefficient to be 0.

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         The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

        A formula for the question at hand is 2x minus 20 divided by 3 Equals 2x, or (2x - 20) /3 = 2x.

The difference in degrees over the last 24 hours is represented by x in this equation, which predicts temperature change.

We must find x in the given equation.

(2x - 20) /3 = 2x \s (2x - 20) = 3(2x) (2x) ...........(Multiply by 3 on both sides)

2x - 20 + 20 = 6x + 20 ...........(Add 20 to both sides)

2x - 6x = 6x + 20 - 6x ..........(Subtract 6x from both sides) (

-4x = 20 \s x = -5 ..........(Divide by - 4 on both sides)

As a result, x = -5 for the given equation (2x - 20) /3 = 2x.

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The value of the expression (-3.69)0 is zero as any number multiplied zero times is zero.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The value of the expression (-3.69)0 is zero itself.

Anything multiplied by nothing is nothing right.

A numerical value is given which is  -3.69 it is multiplied with zero, so a number multiplied zero times is obviously zero.

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In order to find the price increase multiply by 1 and add the 7%,

then, apply the same to subtract the 7%

The solution is x = √ 14, it is irrational

The closest integer approximation to the solution is 4

From the information given, we have that;

42 equals 3 x squared

This is represented as;

3x² = 42

Let's take the following steps to determine the value of x

Divide both sides by the coefficient of x²

x² = 42/3

x² = 14

Take the square root of both sides, we have;

x = √ 14

The solution is an irrational number

An irrational number is described as a number that cannot be expressed in a fractional form.

They are real numbers that expressed as quotients

Examples of irrational numbers are;

√5, √7, √11, √13

Now, let's find the square root, we have

= 3. 74

Take '7' as 1 and add to the whole number 3, we get;

= 4 ; to the closest integer

Hence, the value is 4

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For the graduation party, Nathan and Sydney should order  pieces of 70 fried chicken ,  11 pounds of meats  and 36 pounds of lasangnia .

In the question ,

it is given that

there are 15 drop in guests , and drop in guests are counted as half a guest .

So , the number of half guests = 15/2 = 7.5

number of guests for the party = 40 guests

So , total number of guests = 40+7.5 = 47.5

From the table , we can see that

19 party guests need 28 pieces of fried chicken .

So , 1 party guests will need 28/19 pieces of fried chicken .

so, 47.5 guests will need [tex]47.5*\frac{28}{19}[/tex] pieces of fried chicken

[tex]47.5*\frac{28}{19}[/tex] = 70

hence , 70 pieces of fried chicken is needed .

From the table , we can see that

19 party guests need [tex]4\frac{1}{3}[/tex] = 13/3 pounds of meats  .

so, 1 party guests will need 13/(3*19) pounds of meats .

So, 47.5 guests will need [tex]47.5*\frac{13}{3*19}[/tex] pounds of meats .

[tex]47.5*\frac{13}{3*19}[/tex] = 10.833

≈ 11

hence , 11 pounds of meats is needed .

From the table , we can see that

19 party guests need [tex]10\frac{3}{4}[/tex] = 43/3 pounds of lasangnia .

So , 1 party guests will need 43/(3*19) pounds of lasangnia .

So, 47.5 guests will need [tex]47.5*\frac{43}{3*19}[/tex] pounds of lasangnia .

[tex]47.5*\frac{43}{3*19}[/tex] = 35.8333

≈ 36

hence , 36 pounds of lasangnia is needed .

Therefore , For the graduation party Nathan and Sydney should order 70 pieces of fried chicken , 11 pounds of meats  and 36 pounds of lasangnia .

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Answer:

Remember, ratios are just fractions, and fractions are just division problems.

Step-by-step explanation:

Step-by-step explanation:

25%of 20 is 5

subtract from the total of the whole candy.

We have the expression:

Adding the parts with x and the parts without x we have:

Wich gives us:

Wich is a polinomial of first degree.

Answer:

see explanation

Step-by-step explanation:

consider the left side

(x + 2)² + (x - 2)² ← expand factors using FOIL

= x² + 4x + 4 + x² - 4x + 4 ← collect like terms

= 2x² + 8 ← factor out 2 from each term

= 2(x² + 4)

= right side , thus proven

Answer:

6 and 16

Step-by-step explanation:

→ Find the most recurring number in sequence A

6

→ Find the most recurring number in sequence B

16

Answer:

125 inches squared

Step-by-step explanation:

A=lw

A=(5)(25)

A=125

Answer:

Surface area is the total area of the faces of a three-dimensional shape.

A square can not have a surface area since it's two dimensional. If you meant the area of a square then the formula is:

A = a²

a = length of side

8 in = 64 in

10 = 100 in

12 = 144 in

Answer: Uncle Luke is at 50 years old

Step-by-step explanation: I went through trial and error first with simple t-charts.  In the first one, I simply implemented the piece of info that Luke was 5 times older than the nephew. But then, I realized that Luke would always be 5 years older than his nephew. Here was the info for that t-chart:

[tex]\left \{ {{N=1} \atop {L=5}} \right. \left \{ {{N=2} \atop {L=6}} \right. \left \{ {{N=3} \atop {L=7}} \right.[/tex]

Next, I tried a chart starting with the nephew at 2 years of age, and got an age gap of 8. This helped me realize that I would have to start at 4 years of age in order to have an age gap of 16
[tex]\left \{ {{N=2} \atop {L=10}} \right.[/tex]        |             [tex]\left \{ {{N=4} \atop {L=20}} \right. \left \{ {{N=5} \atop {L=21}} \right.[/tex]  (remember there are 1 increments)

Next, I realized that N=4, L=20 was 40 years ago, so if now the nephew was 44, we can increment 16 to get 50
44+16=50

The margin of error is 0.88.

What is a margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

Here, we have

Lower confidence interval = 21.42

Upper confidence interval = 23.18

Now,

Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2

x = (21.42 + 23.18)/2

x = 44.6/2

Sample mean (x) = 22.3

Now, we find the margin of error,

margin of error = Upper confidence interval - x

= 23.18 - 22.3

= 0.88

Hence, the margin of error is 0.88.

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The margin of error is 0.88.

Here, we have

Now, calculate:

Sample mean(x) = (Lower confidence interval + Upper confidence interval)/2

Now, we find the margin of error:

margin of error = Upper confidence interval - x

Hence, the margin of error is 0.88.

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Answer: x=75°

Step-by-step explanation:

x+44+61=180 ==> three angles in a triangle add up to 180 degrees

x+105=180

x+105-105=180-105

x=75°

The most appropriate choice for reflection will be given by-

After reflection over y-axis, coordinate of K will become K' (6, -1)

After reflection over y-axis, coordinate of L will become  L' (0, -1)

After reflection over y-axis, coordinate of M will become M' (0, -2)

After reflection over y-axis, coordinate of J will become  J' (6, -2)

What is reflection?

Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.

The line is called the line of reflection.

Here,

After reflection over the y - axis, sign of x coordinate will be same.

Coordinate of K = (-6, -1)

After reflection over y-axis, coordinate of K will become K' (6, -1)

Coordinate of L = (0, -1)

After reflection over y-axis, coordinate of L will become L' (0, -1)

Coordinate of M = (0, -2)

After reflection over y-axis, coordinate of M will become M' (0, -2)

Coordinate of J = (-6, -2)

After reflection over y-axis, coordinate of J will become J' (6, -2)

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25

1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:

2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:

Note that the second term is 5²= 25

3) Hence, the answer is 25

Answer:

Length: 17 ft. Width: 12 ft.

Step-by-step explanation:

x + 5 + x +5 + x + x = 58

4x + 10 = 58

4x = 48

x = 12

12 + 5 = 17

The inequality to determine the number of packages Renna could remove from the elevator to meet the mass requirement is 620 - 37.4g = 450.

An inequality is simply used to show the relationship between the expressions that are not equal.

The mass limit is given as 450 grams. Renna has a package that has a weight of 620g.

Each package has 37.4g.

Let the number of packages to remove be p.

The expression will be:

= 620 - (37.4 × p) = 450

620 - 37.4g = 450.

This illustrates the concept of inequality.

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The height of the barometer on Sunday = 34.8 inches

How is the barometer height on Sunday calculated?

Consider the barometer height for one week,

The average height of a barometer during one week = 30.84 inches

The total height of a barometer during one week = 30.84 * 7

                                                                                  = 215.88

Consider the barometer height for 6 weekdays,

The average height of a barometer for 6 weekdays of the same week= 30.18 inches

The total height of a barometer for 6 weekdays = 30.18 *6

                                                                                =181.08

The barometer height  on Sunday = One week height- 6 days height

                                                         =215.88 - 181.08

                                                         =34.8  inches

What is a height?

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