MATHEMATICS MIDDLE SCHOOL

Simplify the expression (x^25)^-6/(x^-3)^48The power of x in the simplified expression is
-2
-6
-23
-26

Answers

Answer 1
Answer:

Answer:

-6

Step-by-step explanation:

Use\n\n(a^n)^m=a^(nm)\n\n(a^n)/(a^m)=a^(n-m)\n------------------\n\n((x^(25))^(-6))/((x^(-3))^(48))=(x^((25)(-6)))/(x^((-3)(48)))=(x^(-150))/(x^(-144))=x^(-150-(-144))=x^(-150+144)=x^(-6)

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what is the solution to the equation? 3/4 x =12 Answers: A. 9 B. 48 C.16 D.36


Answers

(3)/(4)\cdot x =12 \ \ / \cdot 4 \n \n 3x = 48 \ \ /: 3 \n \nx=(48)/(3)\n \nx=16 \n \n \nAnswer : \ C. \ 16
The answer to that question is C.16

Draq is painting a rectangular wall that is 15 ft. Long and 8ft. High. The wall has three Windows, each measuring 3 ft. by 4ft. How many square feet must be painted?

Answers

Total area of rectangular wall = 8ft * 15ft = 120 ft²

Each window area = 3ft *4ft = 12 ft²

For the three windows = 3 * 12 = 36 ft²

Area that must be painted = 120ft² - 36ft²  = 84 ft²     

Lisa built a rectangular flower garden that is 4 feet wide and has a perimeter of 26 feet.What is the length of Lisa's flower garden?

Answers

Perimeter is l+l+w+w,  or l*2+w*2.  We know the width is 4 feet.  26=4*2+l*2
So first,  find what 4*2 equals.  The answer is 8.  So subtract 8 from both sides.  4*2 Cancels out,  and 26 changes to 18.  Then,  divide both sides by 2.  The (*2) gets cancelled and 18 becomes 9.   The length is 9 FEET.

:)-Kibeye
i had to do this with a calculator( sorry) SUPER HARD the length is 9 feet ( hope this helps:)

Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. About how many pavers will she need to cover the path?40
60
120
160

Answers

If area of the path is 120 square feet then 120 pavers will she need to cover the path

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram.

The area of the path is 120 square feet.

A parallelogram has a base of 2 feet and height of 0.5 feet.

Area of parallelogram 2×0.5

which is 1 square feet

Now let us find the number of pavers  she need to cover the path

120×1

120

Hence, if area of the path is 120 square feet then 120 pavers will she need to cover the path

To learn more on Areas click:

brainly.com/question/20693059

#SPJ3

Answer:

120

Step-by-step explanation:

I am taking the test rn

Miles has a train collection with 36 engines 72 boxcars and 18 cabooses he wants to arranged the train cars in equal rows with only one type of train car in each row How many can he put in each row.

Answers

In order to find how many trains can be put in each row while having only one type of car in each row, you must find the GCF of all the numbers of cars.

First factor all three numbers
36 Engines=      2*2*3*3
72 boxcars =  2*2*2*3*3
18 cabooses=       2*3*3

Since each number contains at least 2*3*3, or 18, each row can be up to 18 train cars in length.
In this case, there will be 1 row of cabooses,
18 ÷18=1
2 rows of engines,
36÷18=2
and 4 rows of boxcars
72÷18=4

Which is the equation of a parabola with vertex (0,0), that opens to the right and has a focal width of 8?

Answers

Answer:

Equation of parabola:

y^2=8x

Step-by-step explanation:

A parabola with vertex (0,0), that opens to the right.

The general equation of parabola open right whose vertex (0,0)

y^2=4px

Focal width : Two points opposite to the the focus on parabola.

Distance between these two points is called focal width i,e 4p

Focal width = 8

So, 4p=8

p=2

Focus: (2,0)

Equation of parabola:

y^2=8x

Answer:

Vertex: V=(0,0)=(h,k)→h=0, k=0

Opens downward:

(x-h)^2=4p(y-k)

Width focal: p=-6<0 (donwnward)


Replacing h=0, k=0 and p=-6 in the equation above:

(x-0)^2=4(-6)(y-0)

x^2=-24y


Answer: The equation of the parabola is  x^2=-24y



Step-by-step explanation:
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