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
Luda [366]
3 years ago
12

Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Base

line n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of <em>m</em> and <em>n</em> is:

F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}

Exponent rule of division:

a^{x}\div a^{y}=a^{x-y}

Compute the value of the expression for <em>m</em> = -5 and <em>n</em> = 3 as follows:

F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}

F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}

             =\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}

Thus, the correct option is option (3) 4 ÷ 25.

Nata [24]3 years ago
6 0

Answer:

4/25

Step-by-step explanation:

I just did the test

You might be interested in
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

  • slope = m = -5/4
  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

Therefore, the equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

7 0
3 years ago
Ten times the sum of half a number and 6 is 8
KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

5 0
3 years ago
Help quick plz i will make you a brainllest
blsea [12.9K]

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

8 0
3 years ago
Read 2 more answers
Order from least to greatest 1/8, 7/8, 4/8
atroni [7]

first 1/8 then 4/8 and lastly 7/8
8 0
3 years ago
Read 2 more answers
The running shoes Gina bought at a 20%-off sale were originally priced at $70. Before tax was added, how much money did Gina sav
il63 [147K]

gina saved $14

convert your percentage into a decimal: 20% converts to 0.20

then, just multiply 0.20 with 70. you should get 14.

8 0
3 years ago
Other questions:
  • What is the GCF of the two terms in the expression 15x - 25
    13·2 answers
  • Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that
    13·2 answers
  • What is a math model for 2.37+ 3.17
    11·1 answer
  • What is the answer to this I need help <br> multiply 3 ones by 2
    10·2 answers
  • Please guys help thank you so much
    7·1 answer
  • Reginald is distributing n boxes of paper to the copy rooms in an office building. If he places 6 boxes of paper in each copy ro
    7·1 answer
  • Let f(x) be a 5th degree polynomial. If 4, 2 + 3i, and −5i are zeros of f(x), list all other zeros.
    13·1 answer
  • - Which values are equivalent to b in the equation below? 62 = 12 Select all that apply. A. -6 B. 6 C.-V12 D. 112 E. -144 F. 144
    5·1 answer
  • tom had a very challenging fraction multiplycation problem to do, but his sister said it was really easy to do mentally. can you
    10·2 answers
  • I NEED HELP, PLEASE!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!