I need help with this if do thank you a lot

Answer:

Step-by-step explanation:

8.3g+2.61=32.49

8.3g=29.88

g=3.6

Answer:

5

Step-by-step explanation:

9) y=12x+6

I've attached a photo for #10

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

= π × 6^2

= 36π

36/4

= 9

36 - 9

= 27π units squared

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

Answer:

The approximate volume of the cone is 14 cube inches.

Step-by-step explanation:

Circumference of the base of the cylinder = 3π inches

Height of the cylindrical piece of wood = 6 inches

volume of a cone = \(\frac{1}{3}\)\(\pi\)\(r^{2}\)h

But,

circumference = 2πr

3π = 2πr

r = \(\frac{3}{2}\)

  = 1.5 inches

Radius of the base of the cylinder is 1.5 inches.

So that;

volume of cone =  \(\frac{1}{3}\) x \(\frac{22}{7}\) x \((\frac{3}{2}) ^{2}\) x 6

                          =  \(\frac{1}{3}\) x \(\frac{22}{7}\) x \(\frac{9}{4}\) x 6

                          = 14.143

volume of cone = 14.143 cube inches

The approximate volume of the cone is 14 cube inches.

Answer:

2 2/3 cups of milk, 5 cups of flour, 3 1/2 cups of other ingredients ;)

Answer:

the answer is 17x+20

Step-by-step explanation:

7x+10x+20

17x+20

hope it helps

mark me brainliest pls

Answer:

17x+20

Step-by-step explanation:

like terms= 7x and 10x so add= 17x

unlike term 20 it remains as it is.

so 17x+20 further cannot be simplified as both are unlike terms

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

The only expression that cannot be simplified using the quotient rule for exponents is; Option D: q⁻⁵r¹¹ / s⁷t⁻¹⁵

The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. For example, xᵃ/xᵇ = xᵃ⁻ᵇ

A) (3²)(9⁻¹)(2³)/(8⁵)(7⁻²)

This can be re-expressed in terms of factors as;

(3²)(3⁻²)(2³)/((2³)⁵)(7⁻²)

= (3²⁻²)/((2³)⁴(7⁻²))

= 1/(8⁴(7⁻²))

B) (4⁻²)(x⁻¹)/(4⁻¹)(x⁻²)

Using quotient rule, we have;

(4⁻²⁺¹)(x⁻¹⁺²)

= (4⁻¹x⁻¹)

C) (6x⁻⁸z²)(6⁵x⁻¹z²)

Using quotient rule, we have;

x⁻⁷/6⁴

D) q⁻⁵r¹¹ / s⁷t⁻¹⁵

We don't have any similar variable as numerator or denominator and as such this cannot be simplified using quotient rule of exponents.

Read more about Quotient rule of exponents at; https://brainly.com/question/28416731

#SPJ1

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ1

The value of x is 780 and 830 + 50 equals 880

The number of coaches is 17 and the total cost is £5850

From the question, we have the following parameters that can be used in our computation:

830 + 50 gives the same answer as x + 100

This means that

830 + 50 = x + 100

So, we have

x = 830 + 50 - 100

Evaluate

x = 780

Also, we have

830 + 50 = 880

So, the value of x is 780 and 830 + 50 equals 880

Here, we have

People = 830

People per coach = 50

So, we have

Coaches = 830/50

Evaluate

Coaches = 16.6

Approximate

Coaches = 17

The total cost of hiring 13 coaches is

Cost = 450 * 13

Evaluate

Cost = 5850

Hence, the number of coaches is 17 and the total cost is £5850

Read more about unit rates at

https://brainly.com/question/4895463

#SPJ1

Answer:

y=2x

y=x+2

there's ur answer.

Answer:

x = 4.5 is the answer to the question

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

To learn more about Stiffer spring ratio problems visit :

brainly.com/question/14944249

#SPJ4

_____________________________

Hey!!

Solution,

X=5

Now,

y=x^2+2x

=(5)^2+2*5

=25+10

= 35

So the value of y is 35

hope it helps

Good luck on your assignment

___________________________

For the given equation  y = x² + 2x, the value of y when x = 5 is, 35

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An equation, y = x² + 2x

The value of y when x is equal to 5 = ?

after putting value of x in a equation

⇒ y = 5² + 2 × 5

⇒ y = 25 + 10

⇒ y = 35

Hence, the value of y is 35

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ2

Answer:

  84°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠A = 180° -96°

  ∠A = 84°

The value of x in 7-3(2x-1)= 2x+26 is -4

Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.

To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give

7- 6x+3= 2x+26

collect the like terms

-6x-2x=26-3-7

-8x= 16

divide both side by -8

-8x/-8= 16/-8

therefore x= -2

learn more about linear equations from

https://brainly.com/question/2030026

#SPJ1

Answer:

0.75, 15/20

Step-by-step explanation:

15/20 = 3/4 = 0.75

Answer: The answer is: 0.75, 15/20

Step-by-step explanation: I have my ways ;>

Have a great day!

-Sunny

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

for such more question on area

https://brainly.com/question/15822332

#SPJ11

Answer:

---------------------

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

For more questions on: mathematical proficiency

https://brainly.com/question/32786898

#SPJ8  

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

For more such questions on coordinates

https://brainly.com/question/29660530

#SPJ8

Using the formula, the real of z is 2 and the linear form of z is \((x-2)(x^2+2x+4)\).

In the given question,

The given expression is z=x^3−8

We can given expression as \(x^3-8=(x)^3-(2)^3\)...............(1)

We have to find the real root of the z.

We also have to find the z as a product of linear terms.

To solve the given expression using the formula

\(a^3-b^3=(a-b)(a^2+ab+b^2)\)

If we compare equation 1 to the \(a^3-b^3\).

After compare we get a=x and b=2

Now the linear form of the given expression is

\(z=(x)^3-(2)^2\)

\(z=(x-2)(x^2+2x+(2)^2)\)

Simplifying

\(z=(x-2)(x^2+2x+4)\)

Now the real root of of z;

x-2=0

x=2

Hence, the real of z is 2 and the linear form of z is \((x-2)(x^2+2x+4)\).

To learn more about formula link is here

brainly.com/question/13905786

#SPJ1

The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Answer:

4b = 50; 1a = 80

Step-by-step explanation:

So let's say that bananas = b and apple = a

Then we could set up the equations that are:

4b = 50 (cents)

1a = 80 (cents)

That means we have 2 equations of 4b = 50 and 1a = 80

Answer:

Step-by-step explanation:

banana = b = 50¢ = $.50

apple = a = 80¢ = $.80

Total cost of fruit = f

She bought 4 bananas for .50 each so we multiply 4*.50 to find the total cost of the bananas and she bought 1 apple for .80, so we add them together to get the total cost of the fruit, f.

4b + a = f     Now substitute the values.

(4*.50) + .80 = f       This is you expression, let's solve for fun.

(4*.50) + .80 = f

2 + .80 = f

$2.80 = f   Sylvia spend $2.80 on the fruit.

x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)

But if you want an integer then It's x ≤ -4

Real Number as it's x ≤ -3.5

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

Learn more about analogy problem here:

https://brainly.com/question/13440226

#SPJ1