a(n) = -5 + 4(n - 1) 5th term

C (3rd Answer)

1st term is 900 and as n increases (number of terms increase), each time it goes down by 50 if n is greater than 1.

Answer:

Simplied:

2/3

Step-by-step explanation:

So basically so look at the factors and find that 6 and 9 both divided by 3 so 6/3=2 and 9/3=3

so 2/3

But if you are looking for equivalent:

8/12

6/9= 0.66 repeating which is 60/90 (I think)

HOPE THIS HELPS!!

Answer:

There are 6468 yes votes

Step-by-step explanation:

10164÷(7+4)×7

=10164÷11×7

=924×7

=6468

Answer: Put it as a fraction then divide the numerator by the denominator but they have to be divided by the same number. Or just divide.

Step-by-step explanation:

The inverses of the functions  y= x⁹ and y= x¹¹ are functions.

The inverses of the functions y = x⁴ and y= x⁸ are not functions.

(a )Consider ,the inverse of the function is a function

(2 ) y= x⁹

The inverse of the function is given by,

x = [tex]\sqrt[9]{y}[/tex]  

Here y is an element of the real numbers.

i.e. y ∈R

So, this is a function.

(4) y= x¹¹

The inverse of the function is given by,

x = [tex]\sqrt[11]{y}[/tex]

Here y is an element of the real numbers.

i.e. y ∈R

Similarly , this is a function.

(b ) Consider ,the inverse of the function is a not a function

(1  )y = x⁴

The inverse of the function is given by,

x =  [tex]\sqrt[4]{y}[/tex] (y ≥0)

It is of one- one correspondence,

when y = 4 ,

x = ±√2

Thus, it is not a function.

(3)  y= x⁸

The inverse of the function is given by,

x = [tex]\sqrt[8]{y}[/tex]

Likewise , this is not a function.

To learn more about real numbers , refer:

https://brainly.com/question/17201233

#SPJ4

Answer: 190208

Step-by-step explanation:

The weight range for the farmer's chickens is between 57 and 64 grams for roughly 29.85% of them.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,

μ = Mean = 55.8

σ = Standard deviation = 7.5

x = 57 or 64

The z-score is the value decreased by the mean, divided by the standard deviation.

z₁ = (x - μ)/σ

z₁ = (57 - 55.8)/7.5

z₁ = 0.16

z₂ = (x -μ)/σ

z₂ = (64 - 55.8)/7.5

z₂ = 1.09

Determine the corresponding probability using the normal probability table in the appendix.

P(Z<0.16) is given in the row starting with 0.1 and in the column starting with .06 of the standard normal

probability table in the appendix.

P(Z < 1.09) is given in the row starting with 1.0 and in the column starting with .09 of the standard normal probability table in the appendix.

P(57≤ X ≤64) = P(0.16 < Z < 1.09)

= P(Z < 1.09) − P(Z < 0.16)

= 0.8621 0.5636

= 0.2985

= 29.85%

Thus about 29.85% of the farmer's hens have a weight between 57 grams and 64 grams.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ1

The expansion of the polynomial expression is −5q²x² + 25qx²

The polynomial expression is given as

−5qx^{2} ( − q − 5 ) =

Rewrite the expression properly

So, we have the following representation

−5qx²(−q − 5)

Remove the bracket

So, the expression becomes

−5qx²(−q − 5) = −5qx² * −q −5qx² * − 5

Evaluate the products

−5qx²(−q − 5) = −5q²x² + 25qx²

Hence, the expanded expression is −5q²x² + 25qx²

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1

Answer:

AED=118

CED=118

Step-by-step explanation:

20+42=62

180-62=118

hence AED=118

hence CED=118

(VERTICALLY OPPOSITE ANGLE)

The hourly growth rate parameter is equal to 2.22%.

In Mathematics, an exponential function simply refers to a mathematical function whose values are generated by a constant that is raised to the power of the argument.

Mathematically, an exponential function can be modeled by using this equation:

A(t) = ae^{kt}

Where:

Based on the information provided, we have the following:

A(t) = 1100e^{6k}   .....equation 1.

A(6) = 1257      .....equation 2.

Equating the two equations, we have:

1100e^{6k} = 1257

e^{6k} = 1257/1100

e^{6k} = 1.1427

Taking the natural log (ln) of both sides of the equation, we have:

6k = ln(1.1427)

6k = 0.1334

Hourly growth rate, k = 0.1334/6

Hourly growth rate, k = 0.0222

As a percentage, we have:

Hourly growth rate, k = 0.0222 × 100

Hourly growth rate, k = 2.22%.

Read more on growth rate here: https://brainly.com/question/15864523

#SPJ1

We can identify linear inequality by follows

What is linear inequality?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠).

1) First, write the inequality as an equation.

2)  Solve the given equation for one or more values.

3) Now, represent all the values obtained in the number line.

4) Use open circles to represent the excluded values on the number line.

5) Find the interval.

6) Now take any random value from the interval and substitute it in the inequality equation to check whether the values satisfy the inequality equation.

7) Intervals that satisfy the inequality equation are the solutions of the given inequality equation.

To know more about linear inequality, visit:

https://brainly.com/question/11897796

#SPJ4

Answer:

Step-by-step explanation:

You want the amounts invested in each of two accounts, one earning 7% and the other earning 8% simple interest, when the total investment of $30,000 earns total interest of $2370.

Let x represent the amount invested at 8%. Then the amount invested at 7% is 30000-x. The total interest earned is ...

  0.08(x) +0.07(30000-x) = 2370

  0.01x +2100 = 2370 . . . . simplify

  0.01x = 270 . . . . . . . . subtract 2100

  x = 27000 . . . . . . . multiply by 100

  30000-x = 3000

Deshaun invested $27,000 at 8% and $3,000 at 7%.

Answer:

y = 3x - 5

Step-by-step explanation:

We need the slope and the y intercept to write  the equaion.

The slope is the change in y over the change in x.

The y's are 16 and -11.

The x's are 7 and -2

[tex]\frac{16 - - 11}{7- - 2}[/tex] = [tex]\frac{16+ 11}{7 + 2}[/tex] = [tex]\frac{27}{9}[/tex] = 3

3 is our slope (m).

To find b, we will use the slope (3) and one of the points. I am going to use (-2,-11)

slope (m) = 3

y = -11

x = -2

y = mx + b

-11 = (3)(-2) + b

-11 = -6 +b  Add 6 to both sides of the equation

-5 = b

-5 is your y-intercept (b).

y = mx + b

y = 3x -5

A dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

Given that, a dairy farmer wants to mix a 45% protein supplement.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be number of pounds farmer wants to mix a 45% protein supplement.

Here,

0.45x + 0.15(1200-x) = 0.40(1200)

⇒ 0.45x +180-0.15x = 480

⇒ 0.30x=480-180

⇒ 0.30x=300

⇒ x=300/0.30

⇒ x=1000

Here, 45% of 1000

= 450 pounds

15% of (1200-100)

= 0.15×200

= 30 pounds

40% of 1200

= 480 pounds

Therefore, a dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

Answer:

14.5

Step-by-step explanation:

You would use cos for this. 12/cos 56 = 14.5...Therefore you would have 14.5

The value of x in the triangle using trigonometric identities is 14.5 units.

Option A is the correct answer.

We have,

Sin x = Perpendicular / Hypotenuse

Now,

From the triangle,

Sin 56 = 12/x

0.83 = 12/x

x = 12/0.83

x = 14.46

x = 14.5

Thus,

The value of x in the triangle is 14.5 units.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ6

Answer:

15x, 5 * (x * 3)

Step-by-step explanation:

15x, 5 * (x * 3) >-<

The eleventh term of the Lucas' sequence is 199

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

1, 3, 4,7, 11, 18, 29, 47, 76,123

As a general rule of Fibonacci, the current term of a sequence is the sum of the two previous terms

This means that

11th term = 10th term + 9th term

Substitute the known values in the above equation, so, we have the following representation

11th term = 123 + 76

Evaluate the sum

11th term = 199

Hence, the 11th term is 199

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

The center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.

A circle is a closed shape that can be created by following a moving point in a plane while maintaining a constant distance from another point.

The Greek word kirks, which means hoop or ring, is whence the word circle gets its form.

So, we have the equation: x²+y²-12x-2y+12=0

Compared to the circle's basic equation:

2 + y² + 2gx + 2fy + c = 0

2g = -12, 2f = -2, c = 12

g = -6, f = -1

Centre = (-g, -f)= (6, 1)

Now, fill in the square:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1

(x - 6)² + (y - 1)² = 25

(x - 6)² + (y -1)² = 52

When compared to the equation for a circle with the centers at (h, k) and radius "r," Centre = (h, k) = (6,1).

Therefore, the center is (6, 1) of the given circle with the equation  x²+y²-12x-2y+12=0.

Know more about circles here:

https://brainly.com/question/24375372

#SPJ4

Correct question:
What is the center of a circle whose equation is x²+y²-12x-2y+12=0?

Answer:

6,1

Step-by-step explanation:

trust me

The linear inequality examples are as follows,

What is linear inequality?

Any two real numbers or two algebraic expressions associated with the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form a linear inequality. For example, 9<11, 18>17 are examples of numerical inequalities and x+7>y, y<10-x, x ≥ y > 11 are examples of algebraic inequalities.

The examples of linear inequalities in two variables are:

3x < 2y + 5

8y – 9x > 10

9x  ≥ 10/y

x + y ≤ 0

To know more about linear inequality, visit;

https://brainly.com/question/21103162

#SPJ4

Triangles that are exactly the same in size and shape are said to be congruent. Two triangles are said to be congruent when their corresponding sides and angles are also congruent.

What is Traingle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Using the Triangle Sum Theorem, we can determine the third angle in a triangle when only two angles are known.

The two angles' combined angles are subtracted from 180 degrees.

The diagram needs a third angle. Try to match the angles and sides of two triangles with the provided information if the congruence statement is not provided in the problem.

List the corresponding vertices in the same order once the vertices of the two triangles have been matched. The congruence assertion reads as follows if vertex A relates to vertex D, vertex B to E, and vertex C to F:

                                △ABC≅△DEF

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles are still congruent even if we flip, spin, or otherwise alter one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

Likely, these two triangles are congruent if we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle.

When two angles and a non-included side in a triangle are congruent to one another, this is the final scenario that results in congruent triangles.

Learn more about Congruent Triangle click here:

https://brainly.com/question/3999145

#SPJ4

The value of function f(1/2) = 9.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between input variables in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x seems to be the input. A function is typically represented as y = f. (x). In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) as well as their outputs (also referred to as the codomain), where each input does have exactly one output and the output could be linked to its input.

Given function f(x) = (4+x)/x

put x = 1/2,

f(x) = (4+1/2)/1/2

f(x) = 9/2/1/2

f(1/2) = 9

Now f(3) = (4+3)/3

=7/3

To know more about function, visit:
https://brainly.com/question/4379163
#SPJ9

Answer:

One solution, One solution, Infinitely many solutions, One solution, No solutions

Step-by-step explanation:

There are no solutions if the equations represent parallel lines.

There is one solution if the equations represent intersecting lines.

There are infinitely many solutions if the equations can be manipulated to be exactly the same.

Answer:

Commutative Property

Switching (-1.01) with (-3) rearranges the problem so it's easier to calculate mentally.

Step-by-step explanation:

Answer:

y= -0.5x -3.5

Step-by-step explanation:

y= mx+b is the slope intercept form

m- slope

b- y intercept

we can find slope using slope formula

y2-y1/x2-1

Using (1,-4) and (3,-5)

-5-(-4)/3-1

-5+4/2

-1/2

-0.5

Now we can fill this is

y= -0.5x

And we can find the exact y intercept by inserting the coordinates to find b

-5=-0.5(3)+b

-5= -1.5=b

+1.5 +1.5

-3.5=b

Now we can write the equation as

y= -0.5x -3.5

Hopes this helps please mark brainliest

In math, every digit in a number has a place value.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000. Here, we can see that even though the digits are same in both the numbers, it’s place value changes with the change in it’s position.

The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.  

From the question;

Prices for items in the value of hundreds

Prices for items in the value of thousands

Prices for items in the value of ten thousands

Learn more about place value:https://brainly.com/question/1671709

#SPJ1

There are three methods for resolving systems of equations:

graphing, substitution, and elimination.

Three ways to solve a system of equations,

Systems of equations can be solved using one of three techniques: graphing, substitution, and elimination.

→ Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the coordinate of this point. When the equations are already expressed in slope-intercept form, this is most effective.

→ The following strategy is substitution. Although the equations can always be changed, substitution works best when one of the equations is in terms of a particular variable, such as y=2x+4. Solving one of the equations for a single variable is the first step in this process. When an expression for the variable has been discovered, it is then possible to solve for the next variable's numerical value by substituting or plugging the expression into the other equation where the original variable was. The final step is to change the variable in the original equation that corresponds to the number value that was discovered.

→ The third strategy is elimination. Elimination is the process of combining the equations to produce a single-variable equation. This is only possible when one variable's coefficients in both equations are in opposition to one another and will cancel out when combined together. Elimination works best when this is the case in the equations already, but it is also possible to alter the equations to get common coefficients by multiplying or dividing them by a predetermined value. The next step would be to plug the value of the variable back into the equation we originally created in order to determine the value of the remaining variable.

To learn more about equation click here:

brainly.com/question/10413253

#SPJ4

The equation that can be used to determine that weight of the pumpkin would be = 5 +2x + x or 25 -4x + x.

Weight is defined as the unit that is used to measure the degree of heaviness of a body.

The weight of Gemma's pumpkin = x

The weight of Kellys pumpkin = 5 + 2x

The weight of Kellys pumpkin = 25 - 4x

The equation that can be used to find the weight of the pumpkin include the following:

5 +2x + x or

5 +2x + x or25 -4x + x.

Learn more about weight here:

https://brainly.com/question/25973294

#SPJ1

The complete question:

Kelly and Gemma each pick a pumpkin from the pumpkin patch. Kelly's pumpkin weighs 5 pounds more than twice the weight of Gemma's pumpkin. Kelly's pumpkin also weighs 25 pounds less than 4 times the weight of Gemma's pumpkin. Write an equation to find the weights of the pumpkins.

Answer:

A

Step-by-step explanation:

The volume in cubic inches is [tex](36)(18)(6)=3888[/tex].

This is equal to [tex]3888/12^3=2.25[/tex] cubic feet.

The value of variable x is 19.20.

Let's find the value of variable x in the equation.

A variable is a number represented with letters in an equation.

Therefore,

x / 6 + 4 / 10 = 3 + 6 / 10

Therefore, let's find the variable x.

10x + 24 / 60 =  30 + 6 / 10

10x + 24 / 60 = 36 / 10

60 × 36 = 10(10x + 24)

2160 = 100x + 240

2160 - 240 = 100x

1920 = 100x

divide both sides by 100

x = 1920 / 100

x = 19.20

learn more on equation here: https://brainly.com/question/29279771

#SPJ1

Answer: A semimonthly payroll is paid twice a month, usually on the 15th and last days of the month. If one of these pay dates falls on a weekend, the payroll is instead paid out on the preceding Friday. A biweekly payroll is paid every other week, usually on a Friday.

Step-by-step explanation: