1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
10

Solve this problem ........... ​

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

40.5

Step-by-step explanation:

\frac{2^3*3^4*4}{2*32} \\\\Firstly\ we\ have\ to \ expand\ the\ terms\ as\ factors:\\\\=\frac{(2*2*2)*(3*3*3*3)*(2*2)}{(2)*(2*2*2*2*2)`}\\\\We\ cancel \ terms\ that \ are\ common\ to \ both \ numerator\ and\ denominator\ to\ get:\\\\=\frac{3*3*3*3}{2}\\\\ =\frac{81}{2} \\\\We\ simplify\ the\ terms\ to \ its\ lowest\ form:\\\\=40.5

Therefore the answer to the problem = 40.5

You might be interested in
A new car is purchased for 22200 dollars. The value of the car depreciates at 14.75% per year. To the nearest year, how long wil
Ludmilka [50]

Answer:

7 years total

Step-by-step explanation:

22200*.1475=3274.5

keep subtracting 3274.5 until you reach 2200$ or less, which is 7 years

3 1
4 years ago
Read 2 more answers
Deanna's Quiz Scores
zheka24 [161]

Answer:

1.90.93

2.90.27

Step-by-step explanation:

5 0
3 years ago
If ZBPD and ZDPC have a sum of 72°. What is ZAPC?
Pani-rosa [81]

Hey there!

I don't know if it's too late, but oh well: The answer is 108°

Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:

180 - 72 =108°

Have a terrificly amazing day!

8 0
3 years ago
Read 2 more answers
Given ƒ(x) = 2x2 − 3x + 7, find ƒ(2.5)
dsp73
Assuming 2x2 is 2x^{2} 
 you would get 2(2.5)(2.5) - 3(2.5) +7, which is 2(6.25) - 7.5 + 7, 12.5 - 0.5, [12]

7 0
4 years ago
Read 2 more answers
The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}

EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0
4 years ago
Read 2 more answers
Other questions:
  • Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
    9·1 answer
  • Use the diagram to complete the statement.
    5·1 answer
  • Share £40 in the ratio 1:4 between Tim and sam
    12·1 answer
  • Let m (x)=2x^2+6x-7 determine m (3)
    13·1 answer
  • what should be done to both sides of the equation in order to solve 1/3 x = 4? multiply by 4, divide by 4, multiply by 1/3, divi
    15·1 answer
  • Is it possible for association that is not linear
    9·1 answer
  • A population of mutant Venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects t
    9·1 answer
  • PLEASE HELP! :) IMAGE IS BELOW!! QUESTION: Describe a series of transformations that will transform ∆ABC to ∆A'B'C'.
    11·1 answer
  • Tatiana ran the marathon with an average speed of 0.09 miles per minute. What was her speed to the nearest mile per hour?
    5·1 answer
  • Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!