What could this represent? 7x + 2 = 30

Answer:

x² + (y – 3)² = 36  

and

x²+ (y + 8)²= 36  

Step-by-step explanation:

The equation of circle that has a center (a, b) is given by the formula

(x - a)² + (x - b)² = r²

where r is the radius of the circle

If the circle lies on the y axis, its x-coordinate must be 0.
The radius of the circle = 1/2 x diameter = 1/2 x 12 = 6 units

So the equation must be of the form
(x - 0)² + (y - b)² = 36

We can eliminate x² + (y – 5)² = 6
We can also eliminate (x + 6)² + y² = 144

That leaves us with the two possible equations

x² + (y – 3)² = 36   (center at 0, 3)

and

x²+ (y + 8)²= 36   (center at (0, -8) )

a) Basic mathematical expression

b)completely factorized polynomial

a) Algebra is a subject that is based on the principles of mathematics. Understanding basic mathematical expressions like addition, subtraction, multiplication, and division is essential to learning algebra and solving equations.

The basic mathematical expression = +, -, x, /

b)A polynomial can be called a fully modulus polynomial if I can't factor it anymore using any of the methods of parsing. This is a polynomial that has been completely factored. The power of it is mostly attributed to its effectiveness.

The completely factorized polynomial of the polynomial 2x² - x - 6 is (2x + 3)(x -2).

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Answer:

24 hours/day

Step-by-step explanation:

The total mass of the paper clips in scientific notation is 2.226*10 mg

We know that the mass of a single paper clip is:

M = 7.0*10⁻⁴ mg

And in one box has a total of 3.18*10⁴ clips inside of it, then the total mass of the paper clips on the box will be equal to the product between the mass of a single clip and the total number of clips.

We will get:

total mass = (7.0*10⁻⁴ mg)*(3.18*10⁴)

Using the associative property we can rewrite:

total mass = (7.0*3.18)*(10⁻⁴*10⁴) mg

                 = (22.26)*(10⁰) mg = 22.26 mg

Now we want to write this in scientific notation, so we need to have a single digit in the left of the decimal point, then we can rewrite this as:

22.26 mg = 2.226*10 mg

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Answer:

They went up 16 levels.

Step-by-step explanation:

You can find that by finding the distance from -2 to 14.
To find the distance from two numbers, [tex]a[/tex] and [tex]b[/tex], we can substitute both in the formula [tex]d = |b - a|[/tex], where d is the distance between them.

[tex]d = |14 - (-2)| \to |14 + 2|\to|16|\to16[/tex]

Answer:

16 levels

Step-by-step explanation:

since there is 24 levels

and parking b is the lowest of the twenty-four

2(underground levels) + 14 ( floors)

= 16 levels

The correct answer is The mean price is 50.

The median price is 41.111.

The modal price is 52.857.

The standard deviation price is 22.271.

The data table represents the prices (in R) of 50 items purchased by a shopper is,

Price                       Frequency

0<20                            6

20<40                          0

40<60                          18

60<80                          13

80<100                         4

Explanation:

The mean of the data is the average of the given values.

The mean of the data is calculated as,

Price                   frequency (f)     Mid point (xi)                 f.xi

0-20                          6                         10                            60

20-40                        9                         30                           270

40-60                        18                        50                           900

60-80                        13                        70                           910

80-100                       4                         90                           360

Total                          50                       250                        2500

Mean = ∑fx1/N

Mean = 2500/50

Mean = 50

Price                   frequency (f)     cf

0-20                          6                  6      

20-40                        9                 15    

40-60                        18                33  

60-80                        13                46      

80-100                       4                 50  

Total                          50               150

The median class is 40 -60 as cf ≥ N/2

which is 33 ≥ 25

medain = 40 + |25-15|/18 ×20

medain = 40 + 200/18

median = 41.111

Mode = lower limit + f1-f0/2f1-f0-f2 × height

Here, f1 is the frequency of the modal class = 18.

f0 is the frequency of the preceding modal class = 9.

f2 is t/he frequency of the succeeding modal class = 13.

Mode = 40+ 18-9/2(18)-9-13

Mode = 52.857

Hence, the modal price is 52.857.

Price                   frequency (f)     Mid point (xi)                 f.(xi)^2

0-20                          6                         10                            600

20-40                        9                         30                           8100

40-60                        18                        50                           45000

60-80                        13                        70                           63700

80-100                       4                         90                           32400

Total                          50                                                       149800

The standard deviation of the data is calculated as,

SD = √(∑f(x1)^2)/N - (mean)^2

SD = √149800/50- (50)^2

SD = 22.271

Hence, the standard deviation of the data is 22.271.

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Answer:

So, gear ratio will be \frac{45}{18}= \frac{5}{2}=2.5

18

45

=

2

5

=2.5

Hence, the ratio is 2.5 :1.

The following numbers are tested based on the divisibility rule:

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The average rate of change in temperature per week will be -5°C.

It should be noted that from the information, the temperature of a city changed by a total of -20 over a 4 week time span.

Therefore, let the average rate of change per week be illustrated as x

Therefore, the average rate of change in temperature per week will be:

= Total change in temperature / Number of weeks

= -20 / 4.

= -5

Therefore, the average rate of change in temperature per week will be -5°C.

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Answer:

see explanation

Step-by-step explanation:

1

[tex]\frac{6x^2+11x-10}{3x^2+x-2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(2x+5)(3x-2)}{(x+1)(3x-2)}[/tex] ← cancel common factor (3x - 2) on numerator/ denominator

= [tex]\frac{2x+5}{x+1}[/tex]

2

[tex]\frac{10}{12}[/tex] - [tex]\frac{6}{12}[/tex]

= [tex]\frac{10-6}{12}[/tex]

= [tex]\frac{4}{12}[/tex]

= [tex]\frac{1}{3}[/tex]

3

[tex]\frac{3x}{x+2y}[/tex] - [tex]\frac{4y}{x+2y}[/tex]

= [tex]\frac{3x-4y}{x+2y}[/tex]

Answer: A . B . C. D

Step-by-step explanation:

you should select all of them there all right?

[tex] \large \bf \implies{} |10.5 - ( - 6.1)| [/tex]

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

We need to know about mixed fraction to solve this problem. Natasha used approximately 4 cups of ingredients.

A mixed fraction is a fraction that is represented with its quotient and remainder. For example there is a mixed fraction [tex]5\frac{2}{3}[/tex] where 5 is the quotient and 2 is the remainder. To convert a mixed fraction to a simple fraction we multiply the denominator by the quotient and add the remainder to it to get the numerator of the simple fraction, the denominator remains the same. In this question we have to find the cups of ingredients that Natasha uses to make the sauce, we have to simplify all the mixed fractions and then add the fraction together to get the number of cups.

cups of cream=[tex]2\frac{3}{4}[/tex]=11/4

teaspoon of salt =1/2

cups of chive=3/8

cups pf butter=[tex]1\frac{1}{4}[/tex]=5/4

total cups of ingredients used= 11/4+3/8+5/4=(22+3+10)/8=35/8≈4 cups

Therefore we found out that the total number of cups natasha uses to make the sauce is 4.

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The percentage error of 35/6 is 3x10⁻³

Percent error calculates the difference between an estimate and a right number and expresses it as a percentage. Analysts can use this statistic to determine how big the mistake is in relation to the actual number. It is also referred to as % error and percentage error.

35 / 6 =5.83333

to 3 decimal places=5.833

3 significant figures=5.83

error = wrong value - correct value

error=5.833-5.83-0.003

in standard form

error= 3x10⁻³

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4 foot.

Given that

a rectangular sheet of plywood with dimension 4 foot × 8 foot

Area of rectangle = length × breadth

length of the rectangle = 4 foot  

breadth = 8 foot.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Since we have to cut the plywood.

And, form a square from it.

we know that all sides of square are same.

The largest square you can cut from a rectangle will have a side length equal to the smallest dimension of the rectangle.

Therefore both are squares of sides 4 foot.

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Answer:  5210000000

Step-by-step explanation:9 places to the right from the decimal

Answer:

5210000000

Step-by-step explanation:

Move the decimal point nine places to the left to get your answer.

Answer:

It is a buzz cut.

Step-by-step explanation:

It is well-known that football players are around that height and own at least two pairs of shoes. Considering his shirt color, I would say he is a Cardinal player. Considering how terrible they did last time they played (I don't watch football), I'd say he would want to cut his hair in shame.

He wants to be within 5 homeruns of hitting 30 for the year, therefore he needs 25 home runs.

From the information, it was stated that John wants to hit homeruns for his baseball team and that he wants to be within 5 homeruns of hitting 30 for the year.

Let the number of home runs be represented by x.

Therefore, x + 5 = 30

x = 30 - 5

x = 25

Therefore, since he wants to be within 5 homeruns of hitting 30 for the year, he needs 25 home runs.

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The linear functions for the tables given are as follows:

1. y = 2.5x.

2. y = x + 1.

3. y = 3x - 1.5.

4. y = -4x + 3.

5. y = 4x + 1.

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

For each function, the slope and the intercept are found as follows:

Hence the functions are given as follows:

1. y = 2.5x.

2. y = x + 1.

3. y = 3x - 1.5.

4. y = -4x + 3.

5. y = 4x + 1.

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Answer:10

Step-by-step explanation:

6+4=10

Easy

The variables are:

a) discrete.

b) continuous.

c) continuous.

d)  discrete.

e) continuous.

f)  discrete.

A continuos variable can take any value in a dense set, while a discrete variable can only take some selected values.

a) "Bag of apples"

Here the variable is the number of apples in the bag, we can only have whole numbers of apples, then this variable is discrete.

b) "Distance from here to the moon"

This is a distance, so the value is continuous.

c) "Area of a circle"

Exactly like in the case above, the area is continuous.

d) "Number of telephone calls made each day"

Like in the first example, here the variable can only take whole numbers thus, it is discrete.

e) "The height of a ball as it is thrown into the air."

Similar than case b, a height can take any value on a given range, thus, this is continuous.

f) "The balance in an account over a week."

Here the balance can only be a number followed by 2 digits after the decimal point, so from:

$23.50

We can only go up to:

$23.51

Then all the values in between are not allowed, this means that the variable is discrete.

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The total cost, in dollars, before taxes Addition

Given that

To find

So, according to the question

we have,

A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.

So, we can say that

   Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of [tex]\frac{1}{2}[/tex] bottle laundry detergent

       = 2.60 + [tex]\frac{1}{2}[/tex]× 2.60

       = 2.60 + 1.30

       = $3.90

Answer:

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The measure of the angle labelled y as represented in the image attached to the task content is; 125°.

It follows from the task content that the value of angle y is to be determined from the image attached to the task content.

On this note, one must recall that from polygon theorems; the sum of all exteriors angles of a polygon is equal to; 360°.

Therefore; we have;

60° + 70° + 65° + 40° + y° = 360°

By isolating y°; we have;

y° = 360° - 60° - 70° - 65° - 40°

y° = 125°

Ultimately, the measure of the angle labelled y as represented in the image attached to the task content is; 125°.

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Answer:

45.7%

Step-by-step explanation:

System of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

As given,

Let x represents the number of games

and y represents the number of rides

System of equation are:

x+ y=12                        ___(1)

2.50x+3.75y=36.25    ___(2)

Multiply 2.50 to (1) subtract from (2) we get,

1.25y=6.25

⇒y=5

Hence, x=12-5

               =7

Therefore, system of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

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Answer:

5

Step-by-step explanation:

[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]