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Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]

Answer:

Step-by-step explanation:

Answer:

C. The treatment in the experiment must be applied to each of the individuals in the experimental group.

Step-by-step explanation:

Experimental studies are the studies in which the researcher introduced the intervention and the impact of the study. It usually randomized.

Moreover, it must be applied for each and every individual in the experimental group as the variables & conditions would be vary and the same would be applied so that the actual results may be concluded

Hence, the option c is correct

Answer:

Step-by-step explanation:

a)  

m = y2-y1 / x2-x1

P1 = (3,-4)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0    ( the world blows up when  you divide by zero :0  undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1)  as (x1,y1)

P2= (8,-8)  as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2)  as (x1,y1)

P2= (-1.2,2)  as (x2,y2)

m = 2-2 / a number     0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d)  as (x1,y1)

P2= (e,f)  as (x2,y2)

m = f-d / e-c     that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c)  as (x1,y1)

P2= (d,0)  as (x2,y2)

m = 0-c / d-0

m = -c /d

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

Answer:

-1128

Step-by-step explanation:

Answer:

answer is in the picture above

Answer:

remainder: 504

Step-by-step explanation:

x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)

a = -9

(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504   ... long division

Answer:

D

Step-by-step explanation:

Use the distributive property to multiply both x and 5 by -2:

-2(x + 5) = -2x - 10

Answer:

[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] - 2(x + 5) \\ = - 2x - 10[/tex]

✏ D. -2x - 10 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

Answer:

54

Step-by-step explanation:

Find the area of the triangle:

1/2((3 + 5 + 3)*8) = A

1/2((11)*8) = A

1/2(88) = A

44 = A

Find the area of the rectangle:

2 * 5 = A

10 = A

Add the two areas:

10 + 44 = A

A = 54

Answer:

solution given:

∆ABC is a right angled isosceles triangle

perpendicular [p]=base [b]=a=b

hypotenuse [h]=3ft

By using Pythagoras law

h²=p²+b²

3²=a²+a²

9=2a²

a=√(9/2)=[tex] \frac{3 \sqrt{2} }{2} [/tex]

so

a=b=[tex] \frac{3 \sqrt{2} }{2} [/tex]

Answer:

The perimeter is 27 km

The area is 21 km^2

Step-by-step explanation:

The perimeter of a triangle will just be all of the sides added up.

12 + 9 + 6 = 27 km

The area of a triangle is:

A = 1/2 * base * height

The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:

A = 1/2 * 6 * 7

A = 3 * 7

A = 21 km^2

Answer:

Private Jet = 181 mph      Commercial Jet = 362 mph

Step-by-step explanation:

private jet           travels distance D in 14 hours

commercial jet   travels distance D in 7 hours      

so commercial jet speed is twice the private jet

                    y   =  2x

commercial jet speed = 3 · (private jet speed) - 181 mph

               y  =   3x - 181

                        2x = 3x  - 181

                2x - 3x  = -181

                       -x   =  -181

                         x  =   181

                      y   =  2x

                      y   =   362

          362  =  3(181)  - 181

Answer:

hm

Step-by-step explanation:

Answer:

N would represent days

Step-by-step explanation:

the question says at the end of the day

Answer:

An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.

Step-by-step explanation:

Answer and Step-by-step explanation:

[tex]\frac{2}{3}[/tex] × 12 can also be written as [tex]\frac{2 * 12 }{3}[/tex] because the 12 is multiplying the numerator of the fraction.

12 can also be written as [tex]\frac{12}{1}[/tex].

When we solve, this is what is happening:

[tex]\frac{2}{3}[/tex] × [tex]\frac{12}{1}[/tex]

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

#teamtrees #PAW (Plant And Water)

Answer:

I don't know, other than because it's the same thing and it just can.

Step-by-step explanation:

2 x 12 ÷ 3 is longer when written out but it is simpler to solve.

Answer:

line parallel to OJ or JH

Answer:

-4

Step-by-step explanation:

Answer:

Thov txim ntau heev, tab sis kuv zoo li ruam heev yog li kuv xav tau cov ntsiab lus no thov tsis txhob qhia kuv!

Step-by-step explanation:

Answer:

123 inches³

Step-by-step explanation:

Hi there!

Objective: Find the volume of the cone

We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.

Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).

[tex]V=\frac{1}{3} \pi r^2h[/tex]  where r is the radius of the cone and h is its height

Plug in the known information (r=3 and h=13)

[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]

Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.

I hope this helps!

Answer:

The wavelength of the second pitch is 12.23 feet.

Step-by-step explanation:

Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:

321 = 10.5

374 = X

374 x 10.5 / 321 = X

3927/321 = X

12.23 = X

Therefore, the wavelength of the second pitch is 12.23 feet.

The standard deviation for the given probability distribution is;

σₓ = $6

The image for the probability distribution is missing and so i have attached it.

We are given;

Expected Value which is the mean as;

µₓ = $6

Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;

Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36

Thus, standard deviation of the random X is;

σₓ = √36

σₓ = $6

Read more about probability distribution at; https://brainly.com/question/4630765

Answer:

9/20 square miles

Step-by-step explanation:

9/10× 1/2= 9/20 square miles

Answer:

[tex]y =12[/tex]

Step-by-step explanation:

Given

ABC similar to DEF

Required

Find y

To do this, we make use of the following equivalent ratios.

[tex]AB : AC = DE : DF[/tex]

Using the values in the attachment, we have:

[tex]9 : 18 = 6 : y[/tex]

Express as fraction

[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]

[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]

Solve for y

[tex]y = 6 * 2[/tex]

[tex]y =12[/tex]

Answer:

1. 1/6

2. 10/36

3. 1/12

Step-by-step explanation:

Answer:

What question do you need help with?

Step-by-step explanation:

Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

Answer:

I don't know what kind of questions is this but first you need to show your spinner