3x + 4y =12 and 2x +6y = 18.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

Step-by-step explanation:

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ1

When matched, the prompts on asymptotes would be:

The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.

This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.

Find out more on horizontal asymptote at https://brainly.com/question/1851758

#SPJ9

Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

Learn more about rotation of figures here: https://brainly.com/question/13286537

#SPJ1

The value of the given expression is 2. The correct option is C.2

From the question, we are to determine the value of the given expression

The given expression is

(8^2/3)^1/2

This can be properly written as

\((8^{2/3})^{1/2}\)

First, clear the bracket by multiplying the powers

That is,
\(8^{\frac{2}{3}\times \frac{1}{2} }\)

Simplifying, we get

\(8^{\frac{1}{3} }\)

This becomes

\(\sqrt[3]{8}\)

= 2

Hence, the value of the expression is 2. The correct option is C.2

Learn more on Simplifying an expression here: https://brainly.com/question/13009179

SPJ1

Answer:

The answer is option C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Step-by-step explanation:

Answer:

5 extra cups.

Step-by-step explanation:

Answer:

cone, \(\frac{1}{3}\) , \(\frac{1}{3} \pi r^{2}h\) , \(\pi r^{2}\), base, h, height, same, \(\frac{1}{3}\) , \(\frac{1}{3}\) , 3

Step-by-step explanation:

The volume of a cone is equal to \(\frac{1}{3}\) the volume of a cylinder that has the same base and height. The formula for the volume of a cone is \(\frac{1}{3}\pi r^{2}h\).  stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is \(\frac{1}{3}\) the volume of a cylinder (with the same base and height), we would multiply 9*\(\frac{1}{3}\) to obtain a volume of 3 cubic cm.

The missing value in the equation 4 = -8 - is 12.

To find the missing value in the equation 4 = -8 -, we can use the number line to determine the value that, when subtracted from -8, gives a result of 4.

Starting with -8 on the number line, we need to subtract a value that will bring us to 4. Since we are subtracting a value, we move in the positive direction on the number line.

If we move 12 units to the right from -8, we arrive at the value 4. Therefore, the missing value is 12.

-8 - 12 = 4

Visually, we can represent this on the number line by placing -8 and 4 at their respective positions. We can count the units between -8 and 4, which is 12 units, indicating the value we need to subtract from -8 to reach 4.

So, the missing value in the equation 4 = -8 - is 12.

For more question on equation visit:

https://brainly.com/question/17145398

#SPJ8

9514 1404 393

Answer:

  (c) 5 +15/4 +45/16 +135/64 +...; 20

Step-by-step explanation:

The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...

  5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum

Of course, the terms are ...

  5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...

  = 5 + 15/4 + 45/16 +135/64 + ... . . . series

Together, these observations match choice C.

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

Read more about graphs here:

https://brainly.com/question/26233943

#SPJ1

Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

The sum of the angle of a quadrilateral is equal to 360 degrees. Let x be the measure of the missing angle. Given that we have 88, 70, and 147 degrees for the three sides of the quadrilateral, the equation describing the sum of the angles can be written as:

Solve for x,

Therefore, the measure of the fourth angle is 55 degrees.

Answer:

? what do you mean by graph?

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

125 per minute.

Step-by-step explanation:

To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)

You get the answer 125.

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

dicksuck21

Step-by-step explanation:

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

Learn more about rules of exponents here : brainly.com/question/11975096

#SPJ1

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

\(\frac{9344}{45}\)

Step-by-step explanation:

\(\frac{74752}{360}\)

Simplify by 8, and we get

\(\frac{9344}{45}\)

We can't simplify any more, so the answer is  \(\frac{9344}{45}\)

The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.

Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case,  use the Euclidean algorithm.

Let's find the GCD using the Euclidean algorithm:

Divide 74752 by 360:

74752 ÷ 360 = 207 R 272

Divide 360 by 272:

360 ÷ 272 = 1 R 88

Divide 272 by 88:

272 ÷ 88 = 3 R 8

Divide 88 by 8:

88 ÷ 8 = 11 R 0

Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.

Step 2: Divide both the numerator and denominator of the fraction by the GCD.

74752 ÷ 8 = 9344

360 ÷ 8 = 45

The simplified whole fraction is 9344/45.

A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.

Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

Learn more about fractions and their simplification techniques at:

https://brainly.com/question/16510095

#SPJ6

Answer:

6035ft

Step-by-step explanation:

Given data

Length=x

WIdth= 6x^3 + 1 − x^2

The expression for the perimeter is given as

P= 2L+2W

substitute

P=2(x)+2(6x^3 + 1 − x^2)

open brackets

P=2x+12x^3+3-2x^2

rearrange, the polynomial that models the perimeter of the rectangle is

=12x^3-2x^2+2x+3

Also, the perimeter when length x= 8 is

P=12x^3-2x^2+2x+3

P=12(8)^3-2(8)^2+2(8)+3

P=12*512-2*64+16+3

P=6144-128+19

P=6016+19

P=6035 feet

Hence the perimeter of the rectangle is 6035ft

Answer:

9notebooks

Step-by-step explanation:

5×y≤45( where y is number of notebooks)

$5=1notebook

$45=$45/$5x1

=9

therefore, you'll be able to buy nine notebooks with$45

Answer:

$5n = $45

n = 9

Step-by-step explanation:

Let n represent the amount of notebooks

$5n = $45

Divide each side by 5

$5n/5 = $45/5

n = 9

so the maximum number of notebooks you can buy is 9

Answer:

y = -3x + 6

Step-by-step explanation:

1. the equation has a slope of -3 => y = -3x + b (b is the number we'll find now)

2. From the point (4,-6) => x = 4, y = -6

=> -6 = (-3)(4) +b

=> b = 6

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Answer:

Yes because it can be turned into -15 4/5

(sorry if it's incorrect I just started learning this (っ °Д °;)っ)

The probability that Thursday is the day after Wednesday is 1, or 100%.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability that Thursday is the day after Wednesday is 1, or 100%.

This is because Thursday always comes after Wednesday in a standard calendar week, and there are no other days that can come between them. Therefore, the probability of Thursday being the day after Wednesday is certain.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ1

Answer:

The line of symmetry is -2

Step-by-step explanation:

I like to plug in equations and coordinates into a graphing calculator in order to get my answers. If you don't own a graphing calculator there is a site called desmos that is free.