Question is down below:

The length of the garden bed is 6 feet

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: https://brainly.com/question/24284033

Answer:0.08

0.0818

Step-by-step explanation:

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expressions are given below.

[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]

The sum of the expressions will be

[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]

We know that the formula

a² – b² = (a + b)(a – b)

Then we have

[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

i put below. if you have a smart website (i dont know how to say it) then all you need is two points

Step-by-step explanation:

all you have to do is find two points

pick any points

lets say x = 0 and x = 2

y = -2(0) + 7

y = 7

(0,7)

y = -2(2) + 7

y = -4 + 7

y = 3

(2, 3)

then graph

Answer:

Step-by-step explanation:

The y intercept, is when x=0, and so it is 10000(0.97)^0 = 10000

Answer:

Triangle area formula is base x height /2

Step-by-step explanation:

12 x 3 = 36

36/2 = 18

A = 18

Mark Brainliest!

Answer:

364

Step-by-step explanation:

Hello, you can use the formula which is [tex]v=lwh/3[/tex]

Answer:

2.838

Step-by-step explanation:

put it in the calculator.

Answer:

above is the solution to the question

Answer:

Step-by-step explanation:

The ratio of sides of 30 -60 -90 triangle is :  a : a√3 :2a

2a  = 5

a = 5/2 = 2.5

x =  a*√3

  = 2.5√3

  = 2.5 * 1.732

  = 4.3

x= 4.3

Answer:

[tex] \frac{8}{x3y} [/tex]

Here you go.Hope this help!!

[tex]\\ \rm\hookrightarrow \dfrac{8x^4y^3}{x^7y^4}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{8x^{4-7}y^{3-4}}{}[/tex]

[tex]\\ \rm\hookrightarrow 8x^{-3}y^{-1}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{8}{x^3y}[/tex]

Answer:

-3,-2,-1,0,2,3,4,5

hope it helps

Answer:

(5x + 3x) (x -5)

Step-by-step explanation:

Factor a GCF from the expression, if possible.

Factor a Trinomial, if possible.

Factor a Difference Between Two Squares as many times as possible.

If the equation is in the form a2-b2, factor it to (a+b)(a-b). Equations with two variables factor differently than basic quadratics. For any equation a2-b2 where a and b do not equal 0, the equation factors to (a+b)(a-b). For example, the equation 9x2 - 4y2 = (3x + 2y)(3x - 2y).

Answer:

setting up proportionality equation:

[tex]\sf \dfrac{big-side}{big-diagonal} = \sf \dfrac{small-side}{small-diagonal}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{16+x+7} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{23+x} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow 4(23+x) = 112[/tex]

[tex]\sf \hookrightarrow 92 + 4x = 112[/tex]

[tex]\sf \hookrightarrow 4x = 112- 92[/tex]

[tex]\sf \hookrightarrow 4x = 20[/tex]

[tex]\sf \hookrightarrow x = 5[/tex]

Find DF:

[tex]\hookrightarrow \sf x + 7[/tex]

[tex]\hookrightarrow \sf 5 + 7[/tex]

[tex]\hookrightarrow \sf 12[/tex]

Answer:

We see 2 congruent triangles: Triangle DBC and FEC. Let's set up a proportion to find the value of x and length of DF.

[tex]\frac{BE+EC}{DF+FC} =\frac{EC}{FC}[/tex]

[tex]\frac{3+4}{(x+7)+16} =\frac{4}{16}[/tex]

Cross multiply and solve for x.

[tex](3+4)*16=((x+7)+16)*4[/tex]

[tex]7*16=(x+23)*4[/tex]

[tex]112=(x+23)*4[/tex]

[tex]28= (x+23)[/tex]

x= 5

Now to solve for the length of DF, plug in x into DF.

DF=(x+7)

DF=(5+7)

DF= 12

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex]. we need to find another linear factor say X.

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)[/tex]

The linear factor of the polynomial is the first-degree polynomial equations represented as [tex]\rm ax+b[/tex] and cannot be factored further.

So, the other factor X can be calculated as,

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)[/tex]

Therefore, The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

learn more about the factorization of polynomials here;

https://brainly.com/question/26354419

Step-by-step explanation:

1.

double, +2, double, +2, ...

, 92, 94, 188

2.

I think you made a mistake with the second number. based on the following numbers the number sequence seems to be

1, 3, -1, -3, -7, -21, -25,

and then the pattern is

times 3, minus 4, times 3, minus 4 ...

, -75, - 79, -237

3.

sum of the previous 2 numbers (Fibonacci numbers)

, 13, 21, 34

4.

times 3, plus 4, times 3, plus 4, ...

, 480, 484, 1452

5.

plus 3, minus 5, plus 3, minus 5 ...

, 6, 1, 4

6.

plus 6, minus 3, plus 6, minus 3 ...

, 31, 28, 34

7.

the same as 4.

8.

times 2, minus 7, times 2, minus 7 ...

, -34, -41, -82

9.

plus 6, minus 7, plus 6, minus 7 ...

, 25, 18, 24

10.

times 2, minus 6, times 2, minus 6 ...

, -68, -74, -148

Answer:

9

Solving steps:

=> 6÷2(1+2)

divide 6 by 2

=> 3(1+2)

add values inside the bracket

=> 3(3)

multiply 3 by 3

=> 9

Answer:

9

Step-by-step explanation:

Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.

1. 1+2 is the first step, since it is in the parenthesis. This gives you 3

2. You do 6÷2, since that is the next step. Since the operations are from left to right  , you move on the next step, witch is divison. This also gives you 3.

3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.

Answer:

Left-most: (-5,0) Right-most: (3,0)

Step-by-step explanation:

Graph the equation and it would show where the x-intercepts are.

Hope this helped you! (:

Answer:

A) 9 out of 12

Step-by-step explanation:

The first step is to divide 9 by 12 to get the answer in decimal form:

9 / 12 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:

(12 x 75.00)/100 = 9

Answer:

g(x) = 3x² + 7

Explanation:

Here the f(x) is translated up 5 units, so we shall increase y axis by + 5

so new equation:   g(x) = 3x² + 2 + 5 ➛ g(x) = 3x² + 7

Answer:

g(x) = 3x² + 7

Step-by-step explanation:

If a function is translated 5 units up then:

   g(x) = f(x) + 5

⇒ g(x) = 3x² + 2 + 5

⇒ g(x) = 3x² + 7

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

Answer:

y=7/20x+11/20

Step-by-step explanation:

7x-20y=-11

20y=7x-(-11)

20y=7x+11

y=7/20x+11/20

Answer:

Step-by-step explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse         Substitute values

Cos(theta) = 3 / 12.5                            Divide  

Cos(theta) = 0.24                                  Tale the inverse cos

theta = cos-1(0.24)

theta = 76.11 degrees

Work Shown:

Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.

Answer:

1. Polynomial

2. Not a polynomial

3. Not a polynomial

4. Not a polynomial

5. Not a polynomial

6. Not a polynomial

Step-by-step explanation:

Answer:

  the first three are polynomials; the remainder are not

Step-by-step explanation:

A polynomial is a sum of terms with non-negative integer powers of the variables.

The first three expressions are all polynomials; the last three are not.

__

The rational expression with a variable in the denominator is a "rational function", but is not a polynomial. The expressions containing |x| and √x are not expressions that have x to an integral power.

The coefficients of the polynomials we generally deal with are usually integers or fractions. However, there is no requirement that they be rational or real. The second expression is still a polynomial even though it has irrational coefficients.

The perimeter of the triangle CFX is the sum of lengths CF, FX and XC

The perimeter of the triangle CFX is 82 units

The given parameters are:

CE=5, YF=21 and XZ=15

Points E, Y and Z are the median of the triangle CFX.

This means that:

CF = 2 * CE

FX = 2 * YF

XC = 2 * XZ

The perimeter of triangle CFX is then calculated as:

Perimeter = CF + FX + XC

This gives

Perimeter = 2 * CE + 2 * YF + 2 * XZ

So, we have:

Perimeter = 2 * 5 + 2 * 21 + 2 * 15

Perimeter = 82

Hence, the perimeter of the triangle CFX is 82 units

Read more about the perimeters at:

https://brainly.com/question/24571594

Answer:

[tex]{22p^4qr\sqrt{35q[/tex]

Step-by-step explanation:

I am interpreting what you wrote as  [tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}[/tex], sorry if that's not what you meant!

We rewrite [tex]385[/tex] as [tex]5 \cdot 7 \cdot 11[/tex]. Since the radicals have the same index, the expression can be written as

[tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}=2\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}[/tex].

Multiplying like terms, the expression simplifies to

[tex]2\sqrt{5\cdot7\cdot11^2p^8q^3r^2}\\[/tex].

Taking out the perfect square factors, [tex]11^2, p^8, q^2,[/tex] and [tex]r^2,[/tex] we get

[tex]2\cdot11p^4qr\sqrt{5\cdot7q[/tex], or

[tex]\boxed{22p^4qr\sqrt{35q}}[/tex].

[tex]\begin{align*}\\\sqrt{11p^4q^3r} \cdot\sqrt{385p^4r}=\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}\\=\sqrt{11^2p^8q^3r^2}\\\end{align*}[/tex][tex]\begin{align*}\sqrt{5*4}\\\end{align*}[/tex]

Step-by-step explanation:

22+78+x=180

100+x=180

x=180-100.

x=80

hope this helps you

have a nice day

Answer:

80

Step-by-step explanation:

180-(22+78)=80

sum of angles in a triangle is 180 degrees

Answer:

x = 60 degrees.

Step-by-step explanation:

The sides are all equal to one another, so that means that it is an equilateral triangle. An equilateral triangle's angle measures are always 60 degrees.

[tex]Hello,BrainlyUser][/tex]

Answer:

x = 60

Step-by-step explanation:

Since the triangle in the picture is a equilateral  triangle. If you don't know what a equilateral triangle.. I will explain to you; An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Thus, we can infer that x = 60.

[CloudBreeze]

Answer:

monologue the importance of small scale and the importance of small scale and the importance to Puja and the importance of small

Step-by-step explanation:

CUZ THE first try to Puja the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small businesses to get flame easy for 7class and the importance of small scale and place in I have heard a lot about the importance of small scale 6and and the other day