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
Novosadov [1.4K]
3 years ago
10

I need help with this question. The directions say to evaluate and express the answer in the simplest form.

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

<h2>1/243</h2>

Step-by-step explanation:

(9)^-5/2

In order to get rid of the negative exponent, take the reprocal of 9/1

⇒(\frac{1}{9})^5/2

\frac{1^\frac{5}{2} }{9\frac{5}{2} }⇒This is also the same thing but we’re are breaking it down.

\frac{(1^{\frac{1}{2})^{5} } }{(9\frac{1}{2})^{5} }⇒We are further breaking this down...

^\frac{1}{2} is technically the square root of a number.

\sqrt{1}^{5}=1

\sqrt{9}^{5}=243

I’m only 8 years old ;-;

You might be interested in
!!!!!!!!! Helppppppp plsssss
Travka [436]

Answer:

(6 / 4) * (7 + 9)

Step-by-step explanation:

sry that took me so long lol

4 0
2 years ago
11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.)
cupoosta [38]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Plz help i need answer ASAP
Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3><u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
  • The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

  • The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Intercepts</u><u>:</u></h3>

<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.

There are two types of intercepts:

  • x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
  • y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation of a line (intercept form):</u></h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

\boxed{ \mathsf{ \frac{x}{a}  +  \frac{y}{b} = 1 }}

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
  • x-intercept (a) = -1
  • y-intercept (b) = 2

\implies \mathsf{ \frac{x}{( - 1)} +  \frac{y}{2}  = 1 }

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

\implies \mathsf{  - \frac{x}{1} +  \frac{y}{2}  = 1 }

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

\implies \mathsf{  \frac{ - 2x + y}{ 2}   = 1 }

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

\implies \mathsf{  -  2x + y = 2 }

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>Isolating</em><em> </em><em>y</em><em>:</em>

<em>\implies \mathsf{  \underline{  y = 2 + 2x }}</em>

That's the equation of the given line!

6 0
3 years ago
A triangle has the following vertices (-1,1), (6,-2)and (3,5) if the scale factor of 3, what will be the vertices of the image
olga2289 [7]

Answer:

  a.  (-3,3), (18,-6), (9,15)

Step-by-step explanation:

If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.

Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.

Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.

The only viable choice is choice A.

4 0
3 years ago
Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain commodity satisfy the deman
HACTEHA [7]

Answer:

dx/dt = 12 (in thousands of units /week)

Step-by-step explanation:

We have from problem statement that:

8*p³ + x² = 104    (1)

Where p is price in $, and "x" is the weekly sales in thousands of units

All variables  x  and  p change in relation to time then

Differentiating on both sides of the equation, we get:

24*p²*dp/dt +  2*x*dx/dt = 0      (1)

We need to find dx/dt and we know

p = 20

x = 200

And price is falling at the rate of 0,5 $/week

Then plugging these values in equation (1)

24*p²*dp/dt  = - 2*x*dx/dt

24*(20)²(-0,5) = -400*dx/dt

-4800  = -400*dx/dt

dx/dt = 4800/400

dx/dt = 12 (in thousands of units /week)

5 0
4 years ago
Other questions:
  • Which value of x makes the equation below true?<br> 7 + 2x = 4x - 5<br><br> SHOW WORK
    15·1 answer
  • 2x – 4 = 6<br> The answer is 10, but I just need a step by step explanation for this
    12·2 answers
  • Does the size of parachute affect the speed and why
    15·1 answer
  • 2) Find the diameter.<br>4) If the diameter is equal to 3 inches ,d=<br>​
    8·1 answer
  • Find (fog)(2) and (f+g)(2) when f(x) =1/x and g(x) =4x+9
    8·1 answer
  • This math problem (look at the screenshot) is for the smartest person in his/her class!
    14·1 answer
  • Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?
    6·1 answer
  • Please help will mark you as brainliest​
    13·2 answers
  • 1+ [-1] - 3 if u answer this i will give u brainly
    13·1 answer
  • Hint or something to help me match
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!