On the coordinate grid draw the graph of y=2x-3
Use the value of x from -2 to +2

Answer: π * (18/2)^2

= 3.14 * 81

= 254.34 inches

Step-by-step explanation:

Formula of circle's area: πr^2, or 3.14 * radius to the power of 2

Since the radius is diameter divided by 2, the radius is 9

So, we can do 3.14 * 9 to the power of 2, which is 81.

So the formula is 3.14 * 81, and 254.32 inches.

The expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).

A logarithm is a multiplication-based mathematics notion.

The exponent that will result in a particular value is a logarithm.

An exponent or power with which a base must be increased in order to produce a particular number.

If bˣ = n, then x is the logarithm of n here to base b, which is expressed mathematically as x = logb n. For instance, 2³ = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log₂ 8.

For the stated question;

= 5log x + 2logy - 6logz

Using the addition, division and power property.

log(m x n) = log m + log n

log(m/n) = log m - log n

= log x⁵ + logy² - logz⁶

= log( x⁵ ₓ y²) - logz⁶

= log( x⁵.y/z⁶)

Thus, the expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).

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The graph of the function denotes a straight line which passes through the points (-1 , 0) and (0 , -2) .

The graph of the function denoted as y = -2x - 2 is in the form of a straight line as it can be written as y = mx + c the slope is -2 and y intercept is at (0,-2).

The graph of the line passes through :

At x=0 , y = -2

At x = -1 , y = 0

At x = 2 , y = -6

The line passes through (0,-2) , (-1,0) and (2,-6) .

A straight line is a line with no curves and an infinite length. Any two locations can also be connected by a straight line, but its endpoints must extend into the infinite.

A straight line results from connecting two points A (x1, y1) and B (x2, y2) along the shortest path possible and stretching the endpoints of the line to infinity.

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0.320 > 0.051

Round it up. 4 and below doesn't round and 5 and above will.

0.320. 0.051

0.320. 0.05

Look at it as 0.32 and 0.05

these would come down to 32% or 5%

as the 3 is in the tenths and the 5 is in the hundredths.

making the 3 in the tenths larger.

Simple as 30 and 5

The three interior angles of a triangle will always have a sum of 180.

Hence, The three interior angles of a triangle will always have a sum of 180.

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Ignacio should use 3 fish tanks, number of guppies in each tank is 4, number of mollies in each tank is 3 and number of swordtails in each tank is 5.

The largest positive integer that divides each of the two or more integers is referred to as the greatest common divisor. The greatest common divisor of two integers x and y is shown by the symbol gcd (x, y).

Ignacio purchases 15 swordtails, 12 guppies, and 9 mollies.

He desires to divide the fish across several tanks and to place an equal number of each variety of fish in each tank.

The gcd of 12,9 and 15 will be used for the number of fish tanks.

Factors of the numbers are

12= 2x 2 x 3

9=3 x 3

15= 5 x 3

The common factor among all the numbers is 3.

The gcd of 12, 9, and 15 is therefore 3. Ignacio must therefore utilize three fish tanks.

Each type of fish in each tank is,

number of fish of each kind/ gcd(12,9,15)

Number of guppies in each tank= 12/3=4

Number of mollies in each tank= 9/3=3

Number of swordtails in each tank= 15/3=5

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The candy bar A contains 261 calories and candy bar B contains 254 amount of calories.

What are the linear equations in two variables?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.

Let candy bar A contains 'x' calories and candy bar B contains 'y' amount of calories.

Then by using the given data, we can prepare the equations as

                    x + 2y = 769 -----(I)

                  2x + y = 776 -------(II)

 Multiplying equation (II) by '2' and then taking subtraction, we get

                     -3x = -783

                        x = 261

Now put x = 261 in equation (I), we get

            261 + 2y = 769

                   2y = 508

                     y = 254.

Hence, the candy bar A contains 261 calories and candy bar B contains 254 amount of calories.

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Six pounds is the cost of both shipping companies the same.

An equation is a mathematical statement created by joining two numerical or variable expressions with an equal sign.

An equation is a mathematical statement created by joining two numerical or variable expressions with an equal sign, as in 3x+5=11. A number that may be entered for the variable to produce a true number statement is the answer to an equation.

company A:

shipping fee is  12 and $1.50 per pound

Let p be the variable  for the pounds of the package.

Liner Equation :

shipping fee = [tex]12+ 1.5p[/tex]

For company B :

shipping fee = 15 + p

if the cost of both shipping companies the same then,

12+1.5p = 15+p

ie. P = 6.

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The steps for using a compass and straightedge to construct a square is:

Given:

Let AB the length of one side given.

Steps:

a. Using your straightedge, draw a reference line, if one is not provided.

b. Copy the side of the square onto the reference line, starting at a point labeled A'.

c. Construct a perpendicular at point B' to the line through [tex]AB[/tex].

d. Place your compass point at B', and copy the side of the square onto the perpendicular B'G. Label the end of the segment copy as point C.

e. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.

f. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.

g. Connect points A' to D, D to C, and C to B' to form a square.

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The value of the y-coordinate as calculated from the equation 10+10y=-20 is -3

The given equation is  10+10y=-20

We will solve this linear equation by taking the y coordinate of the function.

Subtracting 10 from both sides of the equation:

or ,10+10y -10 = -20 -10

or, 10y = -30

Dividing both sides by 10 we get:

or, 10y ÷10  = -30 ÷ 10

or, y = -3

In mathematical formulas, the equals sign is used to indicate that two expressions are equal. It's possible that the definitions of words like "equation" or their cognates vary slightly between languages. For instance, an equation is defined as having one or more variables, whereas an equation is any well-formed formula that consists of two expressions connected by the equals sign.

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Answer:

Step-by-step explanation:

[tex]\sf \cfrac{-1-8}{3\left(\cfrac{1}{4}x\right)}=2[/tex]

Simplify:-

Multiply both sides by x:-

Simplify:-

Divide both sides by 2:-

Simplify:-

______________________

Hope this helps!

Have a great day!

There are 132 different ways  this is possible(given situation).

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

let[tex]$AB, BJ$, and $AJ$[/tex] denote a song that is liked by Amy and Beth (but not Jo), Beth and Jo (but not Amy), and Amy and Jo (but not Beth), respectively. Similarly, let[tex]$A, B, J,$ and $N$[/tex] denote a song that is liked by only Amy, only Beth, only Jo, and none of them, respectively. Since we know that there is at least[tex]$1\: AB, BJ$, and $AJ$[/tex], they must be[tex]$3$[/tex] songs out of the [tex]$4$[/tex] that Amy, Beth, and Jo listened to. The fourth song can be of any type

[tex]$N, A, B, J, AB, BJ$, and $AJ$ (there is no $ABJ$[/tex]

because no song is liked by all three, as stated in the problem.) Therefore, we must find the number of ways to rearrangeand a song [tex]$AB, BJ, AJ$,[/tex]from the se[tex]t $\{N, A, B, J, AB, BJ, AJ\}$.[/tex]

Case 1: Fourth song =[tex]$N, A, B, J$[/tex]

Note that in Case 1, all four of the choices for the fourth song are different from the first three songs.

Number of ways to rearrange =[tex]$(4!)$[/tex] rearrangements for each choice[tex]$*\: 4$ choices = $96$.[/tex]

Case 2: Fourth song =[tex]$AB, BJ, AJ$\\[/tex]

Note that in Case 2 all three of the choices for the fourth song repeat somewhere in the first three songs.

Number of ways to rearrange = [tex]$(4!/2!)$[/tex]rearrangements for each choice [tex]$*\: 3$ choices = $36$.[/tex]

[tex]$96 + 36 = \boxed{\textbf{(B)} \: 132}$.[/tex]

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The solution to the system of equations y=-5x+3 and y=1 is given by coordinates  (x,y)=(0.4,1)

Define the system of equations ?

System of equations, or simultaneous equations, in algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

What is a subsitution method ?

The substitution method is the algebraic method to solve simultaneous linear equations.

Given:

y=-5x+3

and

y=1

On subsituting y=1 ,we get

⇒[tex]y=-5x+3[/tex]

⇒[tex]1 = -5x+3[/tex]

⇒[tex](1-3)=(-5)x[/tex]

⇒[tex]-2=-5x[/tex]

⇒[tex]2=5x[/tex]

⇒[tex]5x=2[/tex]

⇒[tex]x=\frac{2}{5} =0.4[/tex]

Hence ,x=0.4 and y=1

So, the coordinates of (x,y) are (0.4,1)

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The formula for a cubic polynomial function is f(x)=ax³++bx²+cx+d, where a not equal to 0.

f(x) = x³+2x²-16x-32

The formula for a cubic function is f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are all real values and a 0.

A cubic polynomial function has the formula f(x)=ax3++bx2+cx+d, where an is not equal to 0. A cubic polynomial always has three zeros, which could be all the same or all different. The zeros could be real or complex, depending on the function.

If x = -4, -2, or 4 then f(x) = 0

These are the roots, then.

factors include F(x) = [(x+4)(x-4)] = (x+4)(x+2)(x+4) For example, (x+2) f(x) = (x2-16) (x+2) f(x) = x3+2x2-16x-32

A cubic equation might have three real roots, similar to how a quadratic equation could have two. However, a cubic equation always has at least one real root, unlike a quadratic equation, which may not have any real solutions.

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The percentage of the purchase price of the sale tax is 8%

Given that,

Ahmed bought a telescope to look at the star. The final purchase price, which included the $10. 28 sales tax, was $128. 50.

To find :  The sale tax's share of the purchase price

Let PP = $128

Sales Tax = $10.28

To calculate the percentage :

Divide the Tax with purchased price and multiply with 100

By doing so we have ,

10.28/128 = 0.080 * 100 = 8%

Therefore, The percentage of the purchase price of the sale tax is 8%

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According to the division methods, the quotient is 2037 and the remainder is 433.

Division method:

Division is the method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

There are four parts in the division operation. They are quotient, remainder, divisor and the dividend.

Given,

Here we have the expression 998563÷73.

Now, we have to divide the numbers and then we have to find the quotient and the remainder for the numbers.

In order to do the division, we have to perform the following steps,

Based on these steps we have divided the given number, then we get the quotient as 2037 and the remainder as 433.

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The value of x is 25 will make ΔONM similar to ΔSRQ  by the SAS similarity theorem.

Given:

∠ONM is similar to ∠SRQ

From the figure

NM = 10

SR = 20

NO = 8

QR = x

SAS Similarity Theorem:

if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Both the triangles are similar by SAS if

NO/NM = SR/QR

substitute the values

8/10 = 20/x

cross multiplication

8x = 200

dividing both sides by 8

x = 25

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Answer:

3:8

Step-by-step explanation:

15:40

Work out the same by simplifying which they both go in 5

then doing that you can get 3/8 Or 3:8.

Hope it helps!


Spanish:

Resuelve lo mismo simplificando lo que ambos van en 5

luego haciendo eso puedes obtener 3/8 o 3: 8.

Answer:

36 books

Step-by-step explanation:

21 books / 7 months = 3 books per month

3 books per month × 12 months =

36 books

Answer:

mAngleB = 67°

Step-by-step explanation:

The angle marked 15x is made by extending one side of the triangle. That is an exterior angle (like, its outside the triangle)

There are two angles inside the triangle that are away from that exterior angle. They are called remote interior angles. They are marked 83° and 6x+7 in this question.

Here's the rule:

If you add up the two remote interior angles it equals the exterior angle.

83° + 6x + 7 = 15x

Subtract 6x.

83 + 7 = 9x

Simplify.

90 = 9x

Divide by 9.

10 = x

Use this to find mAngleB

mAngle B = 6x + 7

= 6(10) + 7

= 60 + 7

= 67

mAngleB = 67°

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

Explanation:

If his father saves 18%, then he pays the remaining 82% since 100-18 = 82.

The 82% then converts to 0.82 which is one of the multipliers we'll use to get the answer.

The other multiplier is 1.10 to represent an increase of 10%

The net multiplier is 0.82*1.10 = 0.902

Therefore, his father pays 0.902*60 = 54.12 dollars after the discount and maintenance fee are applied.

The sum of the triangle angles is 180°.

Hence, The sum of the triangle angles is 180°.

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The an equation in standard form for the line that passes through (5,0) and (0,6) is 5y + 6x - 30 = 0

We need to write an equation in standard form for the line that passes through (5,0) and (0,6)

The formula for equation of line with two points is

y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)

y - 0 = ((6 - 0)/(0 - 5))(x - 5)

y = 6/-5 (x - 5)

-5y = 6(x - 5)

-5y = 6x - 30

5y + 6x - 30 = 0

Therefore, the an equation in standard form for the line that passes through (5,0) and (0,6) is 5y + 6x - 30 = 0

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The Venn diagram of the 66 students in the drama group is illustrated below.

Venn Diagram:

Basically, a diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by intersections of the circles.

Given,

All 66 students in a drama group take part in at least one of the four activities given below. acting (4) dancing (D) singing (S) stage management (M) Of these 66 students 11 take part in acting, dancing and singing 17 take part in acting and singing 14 take part in dancing and singing 16 take part in acting and dancing 33 take part in singing 37 take part in acting 29 take part in dancing Any student who takes part in stage management does not take part in acting, dancing or singing.

Here we need to show all this information on the Venn diagram, giving the number of students in each subset.

While we looking into the given information,

Total number of students = 66

Here A refers acting, D refers dancing and S refers singing

=> All three activities count = 11

=> Acting and singing = 17

=> Dancing and singing = 14

=> Acting and dancing = 16

=> Singing = 33

=> Acting = 37

=> Dancing = 29

Based on these details we have drawn the following Venn diagram.

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It will take 18 years to reach an amount of $ 27200

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = PRT / 100

where P = Principal

R = rate of interest

T = time period

Given data ,

The principal amount = $ 8400

Interest rate = 6.75 %

                    = 0.0675

Let the time period be = n

The Amount in n years = $ 27200

Now ,

The Amount is calculated by the formula ,

A = P ( R+1 )ⁿ

where n = time period

Substituting the values of A , P , and R , we get

27200 = 8400 x ( 1.0675 )ⁿ

Dividing by 8400 on both sides , we get

( 1.0675 )ⁿ = 68 / 21

Taking logarithm on both sides , we get

[tex]n=log_{1. 0625} \frac{68}{21}[/tex]

On solving the equation , we get

n ≈ 18 years

Hence , it will take 18 years to reach an account value of $ 27200

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Answer:

(1,1)

Step-by-step explanation:

we fill in the equation for these points to see if they are on the line

(-3,4)

4=-3(-3)+4

4=-9+4

4=-5

Not on line

2=-3(2)+4

2=-6+4

2=-2

Not on line

1=-3(1)+4

1=-3+4

1=1

On the line

-4=-3(0)+4

-4=4

Not on line

Hopes this helps please mark brainliest

Answer: wheres the question

Step-by-step explanation:

The sum of the measures of the interior angles of a convex 27-gon is 4,500°.

The angles located inside a polygon are referred to as its interior angles. The number of interior angles in a polygon is equal to the number of sides.

According to the polygon sum formula, the internal angles of any n-polygon add up to (n - 2)x180°.

=(27-2)×180°

=25×180°

=4,500°

Each side of a regular convex polygon must be the same length, and all interior angles must be equal and less than 180 degrees.

Therefore, the sum of the measures of the interior angles of a convex 27-gon is [tex]4500^{\circ}[/tex].

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Step-by-step explanation:

p varies directly with d.

that means there is a constant k, so that

p = kd

to find k we use the one set of numbers we know about

125 = k×2

k = 125/2 = 62.5

now, when the water is 4.5 meters deep :

p = 62.5 × 4.5 = 281.25 pascal