Find the 6th term of the geometric sequence whose common ratio is 1/2 and whose first term is 6.

Answer: f(3) = 9

Step-by-step explanation: f(3) = 2(3)^2 + x - 12

                                             f(3) = 18 + (-9)

                                             f(3)= 9

Answer:

(A) 35 degrees

Step-by-step explanation:

Using vertical angles, alternate interior angles, and corresponding angles, the measure of angle 2 is also 35 degrees.

Answer:

A.35

The parallel lines have equal angels

Answer:

5  2/3 (which is Answer B)

Step-by-step explanation:

17/3 is an improper fraction; the numerator is greater than the denominator.

Dividing 17 by 3, we get 5  2/3 (which is Answer B).

The conversion of the improper function gives 5(²/₃) as the mixed fraction.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given improper function is 17/3.

In order to convert an improper function into a mixed fraction, first do the long division then the remainder obtained becomes the numerator of the mixed fraction and quotient becomes the whole number.

It can be done for the given case as follows,

The division of 17 by 3 gives,

Quotient = 5 and Remainder = 2

then, the mixed fraction can be written as 5(²/₃).

Hence, the given improper fraction can be converted into mixed fraction as 5(²/₃).

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Answer:

x ≥ -5

Step-by-step explanation:

15≥-3x

switch sides

-3x≤15

Multiply both sides by -1 (reverse the inequality)

(-3x)(-1)≥15(-1)

Simplify

3x≥-15

Divide both sides by 3

3x/3≥ -15/3

Simplify

x≥ -5

Answer:

{x | x ≥ -5}

Step-by-step explanation:

Trying to help everyone!

Answer:

15 percent

Step-by-step explanation:

To find the percentage of a number, divide the first number by the second number and multiply by 100. In this case, 30 is 15% of 200.

To find the percentage, divide the first number by the second number and multiply by 100. In this case, 30 divided by 200 is 0.15. Multiply 0.15 by 100 to get 15%. Therefore, 30 is 15% of 200.

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Answer:

[tex]3-(2a)(5)[/tex]

Step-by-step explanation:

we know that

The algebraic expression of the phrase "three minus the product of two times a and five" is equal to

[tex]3-(2a)(5)[/tex]

[tex]3-10a[/tex]

Answer:

The x-value is between –1 and –2, and the y-value is between 3 and 4

Step-by-step explanation:

we have

y=-2x+1 ----> equation A

y=x+5 ----> equation B

Solve the system of equations by elimination

Multiply the equation B by 2 both sides

2y=2x+10 ----> equation C

Adds equation A and equation C

y=-2x+1

2y=2x+10

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

y+2y=1+10

3y=11

y=11/3

Find the value of x

y=x+5

11/3=x+5

x=(11/3)-5

x=-4/3

therefore

x=-1.33, y=3.67

The x-value is between –1 and –2, and the y-value is between 3 and 4

The x-value is between –1 and –2, and the y-value is between 3 and 4

Step-by-step explanation:

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

Answer:

B

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] area of base × height, hence

V= [tex]\frac{1}{3}[/tex] × 64 × 8 ≈ 170.7 ( to 1 dec. place )

For this case we have that by definition, the volume of a pyramid is given by:

[tex]V = \frac {1} {3} * A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

According to the data we have:

[tex]A_ {b} = 64mm ^ 2\\h = 8mm[/tex]

Substituting:

[tex]V = \frac {1} {3} * 64 * 8\\V = \frac {512} {3}\\V = 170.666666667[/tex]

If we round up we have that the volume is[tex]170.7 \ mm ^ 3[/tex]

Answer:

Option B

Answer:

Value of x is 37.

Step-by-step explanation:

Given:

line y and line z are parallel.

line x is traversal line.

To find: value of x.

∠( 3x + 4 )° and ∠ 115° are alternate interior angle in the given figure.

We know that Alternate interior angles of parallel lines are equal.

So,

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 37

Therefore, Value of x is 37.

Two parallel lines are crossed by a transversal then the value of x is 37.

Given that line y and line z are parallel and line x is a traversal line.

To find that value of x.

We have ∠( 3x + 4 )° and ∠ 115° are alternate interior angles in the given figure.

We know that Alternate interior angles of parallel lines are equal So,

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 37

Therefore, the Value of x is 37.

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Answer:

loss:  2 points

Step-by-step explanation:

Mathematically:  +4 - 6 = -2.  The "net" loss was 2 points.

Answer:

=241 ft

Step-by-step explanation:

The building is opposite the angle of elevation. Thus using trigonometric ratios it is easier to use Tangent of the elevation angle to find the distance to the foot of the building (adjacent).

Tan ∅ = opposite/ adjacent

Tan ∅= height of the building/ distance between the engineer and the building

distance= height/tan ∅

=250/tan 46°

=241 ft

          =

Answer: 241 feet.

Step-by-step explanation:

Observe the figure attached, where "x" is the distance from the engineer to the base of the building to the nearest whole foot.

We need to remember this identity:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

In this case we know that:

[tex]\alpha=46\°\\opposite=250\\adjace nt=x[/tex]

Therefore, the next step is to substitute these values into  [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]:

[tex]tan(46\°)=\frac{250}{x}[/tex]

And the final step is to solve for "x":

[tex]x*tan(46\°)=250\\\\x=\frac{250}{tan(46\°)}\\\\x=241ft[/tex]

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Answer:

The correct answer option for this is: False.

Step-by-step explanation:

We are given the following statement which we are to determine whether its true or false:

In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.

To form a negation, we add the word 'not' to a statement - this part of the given sentence is true.

While 'or take "not" out of a statement if it already exists' is false which makes the whole sentence false.

Answer:

a = 2

x = 15

y = 10

Z= 2x15/10 = 3

point N is at (3,2)

3units to the right and 3units up = x+3, y+3

3+3=6; 2+3=5

new coordinate: (6,5)

Answer:

-3t - 33

Step-by-step explanation:

Distribute -3 to all terms within the other parenthesis:

(-3)(t + 11) = (-3)(t) + (-3)(11)

Simplify by multiplying:

(-3)(t) + (-3)(11)

-3t + (-33)

-3t - 33 is your answer.

~

Noreen can ship 632 boxes of candles

because 9480 divided by 15 is 632

Answer:

-4v + 2w = 7 is not a linear equation.

Step-by-step explanation:

A linear equation is one in the form:

y = mx + x

-4v + 2w = 7 is not a linear equation since it has v and w instead of y and x.

A linear equation is any equation in the form Ax + By = C, with the degree of each variable being 1 and the exponents strictly positive. Hence x^4 = y is not a linear equation because the exponent of x is 4.

In mathematics, a linear equation is any equation that can be written in the form Ax + By = C, where A, B, and C are constants, and x and y are variables. The degree of each variable in all the terms should be 1 and the exponents of the variables should be strictly positive integers. For example, an equation like ‘2x + 3y = 5’ would be considered linear. Looking at the provided options:

Therefore, the answer is x4 = y.

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Answer:

999 is the largest three-digit number

Step-by-step explanation:

Answer:

7 is (5-20) degrees because if you see 2is (3* 10) or 4 is (4*- 15) you will get your Answer

Answer:

[tex]\large\boxed{B.\ (f-g)(x)=-x-15}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15[/tex]

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{"x" varies with "y"}}{x=ky}\qquad \textit{we also know that } \begin{cases} x=7.5\\ y=10 \end{cases}\implies 7.5=k(10) \\\\\\ \cfrac{7.5}{10}\implies \cfrac{~~\frac{15}{2}~~}{10}=k\implies \cfrac{3}{4}=k~\hfill \boxed{x=\cfrac{3}{4}y} \\\\\\ \textit{when y = 4, what is \underline{x}?}\qquad x=\cfrac{3}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}(~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~)\implies x=3[/tex]

Answer:

Obviously its x=3-23=-20.

Hi there! My name is Zalgo and I am here to help you out on this wonderful day. "23+x=3", it seems that we need to find the "X value". That would be "-20". In order to test that it is the correct answer, just input it into the equation. "23+-20=3".

I hope that this helps! :)

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(By the way, do you mind marking me as Brainliest? I'd greatly appreciate it! Thank you! XP)

Answer:

the slope is  : - 1/13

Step-by-step explanation:

Hello : let  A(26,7)    B(-39,12)

the slope is :   (YB - YA)/(XB -XA)

(12-7)/(-39-26)  = 5/(-65)  = - 1/13

the slope is  : - 1/13

Answer:

There are 20 vertices in the polyhedron.

The number of vertices in a polyhedron can be determined using Euler's formula or the specific properties of certain polyhedra such as platonic solids. The number of vertices varies depending on the type and structure of the polyhedron.

The number of vertices in a given polyhedron depends on the specific characteristics of the shape. According to the Euler's formula, represented as V - E + F = 2 (where V is the number of vertices, E the number of edges, and F the number of faces), we can determine the number of vertices if the other values are known.

For instance, a tetrahedron has 4 vertices, an octahedron has 6, a icosahedron has 12, a cube (also known as a regular hexahedron) has 8, and a dodecahedron has 20 vertices.

The value of x is 75.2292.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

given: a right triangle with base 40 yard.

Also, angle of elevation 62° .

and one of the side is 'x'.

Using trigonometry

tan 62= x/40

1.88073= x/40

x= 40*1.88073

x= 75.2292

Hence, value of x is 75.2292.

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Answer:

f(x) = x²

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the volume of a rectangular box, multiply all its dimensions together.

[tex]8*5*4=160[/tex]