If 5=a^x, then 5/a=?​

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the expression for 5/a, you first need to solve the equation 5=a^x for a.  To solve for a, raise both sides of the equation to the 1/x power.  

5=a^x

5^(1/x)=(a^x)^(1/x)              (now multipy exponents)

5^(1/x)=a                           (x*1/x = 1 - the exponent on a)

Now that the equation is solved for a, substitute the left side of the equation into 5/a.  So,

5/a = 5/5^(1/x)             (since the bases are the same, 5, subtract the exponents; note that the exponent in the numerator = 1)

5/a = 5^(1 - 1/x)           (subtract by getting lcd, x)

5/a = 5^((x-1)/x)

Just to show you that this works:  Let a = 25 and x = 1/2.

We know that 5 = a^x = 25^(1/2) = sqrt(25)=5.

Now, 5/a should equal 5/25 = 1/5, so let's plug the numbers into the new expression.

5/a = 5^((.5-1)/.5)   (I'm using .5 instead of 1/2 so it's not so many parentheses.)


Related Questions

L. A number, n, is multiplied by -5 The
product is - 20. whats the value of n?

Answers

Answer:

n=4

Step-by-step explanation:

itis it is already multiplying by -5 we have to multiply it by a postive will remain a negative 20

Answer: n = 4

-5n = -20

n = 4

Which value is a perfect square root?
O 12
O 24
O 49
O 63

Answers

49 comes out as a perfect square root

Answer:

It's 49

Step-by-step explanation:

Michael is training for biathlon. He will swim every sixth day and bicycle every eighth day. On what days will he both swim and bicycle?

Answers

Answer:

The first two days he will both swim and bike are days 24 and 56.

Step-by-step explanation:

Swim: Days 6,12,18,24,30,36,42,50,56

Bicycle: Days 8,16,24,32,40,48,56,

what’s 0.987+0.0853098

Answers

Answer:

1.0723098

Yw :D

Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Caleb, sold 10% of the cards sold for Mother's Day. How many cards did Caleb sell?

Answers

Answer:

Caleb sold 55 cards.

550 divided by 10 = 55.

2. Sarah's craft project uses pieces of yarn that are
yard long. She has a piece of yarn that is 3 yards long.
How many -yard pieces can she cut and still have 1
yards left?

Answers

Answer:

She will be able to cut approximately 2 yards off and still have 1 yard.

Step-by-step explanation:

Because 3-2=1 so there would be 1 yard left.

Write (6,0) and (0,4) in standard form show all work

Answers

Answer:

There is answer for you sorry but this problem can not be put into standard form i tried but it didn't make any sense maybe you could rewrite the problem but that all i can do for you

Step-by-step explanation:

If 1≤x≤3 and 3≤y≤5. The least possible average of 1/x and 1/y is:
(A) 2/3 (B) 3/5 (C) 4/15 (D) 8/15 (E) 4 /5

Answers

Answer:

(C) 4/15

Step-by-step explanation:

Given that 1 ≤ x ≤ 3 and we need to find the least value of 1/x. The least value of 1/x is gotten by taking the maximum value of x in the interval, hence the least value of 1/x = 1/5

Given that 3 ≤ y ≤ 5 and we need to find the least value of 1/y. The least value of 1/y is gotten by taking the maximum value of y in the interval, hence the least value of 1/y = 1/3

The least possible average of 1/x and 1/y = [tex]\frac{\frac{1}{x}+\frac{1}{y} }{2} =\frac{\frac{1}{5}+\frac{1}{3} }{2}=\frac{\frac{8}{15} }{2} =\frac{4}{15}[/tex]

Translate the expression

1 more than the product of a number and -8

Answers

Answer:

8x+1...................


Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you

Answers

Answer:

2. B=240-15x

Step-by-step explanation:

Answer:

The answer is B = 240 - 15x

Step-by-step explanation:

25 x 449 what is it estimated?

Answers

Answer:

13500

Explanation.

Round 25 to 30. 449 to 450.

30*450=13500

Reescribe el número siguiente como fracción simplificada.
0.78 = ?

Answers

[tex]\frac{39}{50}[/tex]

Rabbit Population The rabbit population in a certain area is 200% of last year's population. There
are 700 rabbits this year. How many were there last year?
There were rabbits last year.

Answers

Answer:

Kinda confusing, (probably just me) but I think it may be 1,400 rabbits last year.

The answer is 350 rabbits last year because you are doubling the amount of rabbits because last year it was at 100 percent

Given the direct variation equation, y = 13x, find the following:
25. What is y when x is 5?

Answers

Answer: y = 65

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

What is the equation, in vertex form, of the quadratic function that has a vertex at V(−2, −6) and passes through point P(−4, −7)?

Answers

Answer:

            f(x) = -¹/₄(x + 2)² - 6

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - h)² + k

vertex is (-2, -6)  so  h = -2,  k = -6

so:

      f(x) = a(x - (-2))² + (-6)

      f(x) = a(x + 2)² - 6

the parabola goes through the point (-4, -7) so for x=-4,  f(x)=-7

  -7 = a(-4+2)²  - 6

  -7 +6 = a(-2)² - 6 +6

 - 1  = a(4)

     a = -¹/₄

Therefore the equation of the parabola in vertex form:

                                 f(x) = -¹/₄(x + 2)² - 6

Rewrite the following as a product of two factors
a(a -1) + 5(a - 1) =

Answers

Answer:

4a-5=0

4a=5

a=1.25

Product of 2 factors:

Unknown, as ive worked for about 30 minutes and can't figure it out

Step-by-step explanation:

2a-1a+5a-5

4a-5=0

a=1.25

1/4 divided by 7/10 is...??
A. 7/40
B.5/14
C.10/28

Answers

Answer:

b. 5/14

Step-by-step explanation:

hope this helps. plz give brainliest

Answer:

Do keep change flip. Keep 1/4 and change division to multiplication. Also flip 7/10 to 10/7. That gives you 10/28. So C

Step-by-step explanation:

I will give brainliest please help need this asap worth 100 points ​

Answers

Which problem do you want me to do??

Answer:

a. R = 8

b. The number of retweets in the thousands in days.

c. I don't understand c I'm sorry.

d. It means the retweets and time in days are in 23.

e. In the picture below

Step-by-step explanation:

r(t) = 9t - 4

r(4) = 9(4) - 4

divide both sides by 4

R(4) = 9 - 1

r = 8

What is x? please help

Answers

Answer:  x = 44

====================================================

Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

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

Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

Which of these place values is found to the left of 10?

tenths

hundreds

ones

thousands

Answers

Answer:

Hundreds

Step-by-step explanation:

In order from right to left, place value is:

[tex]Ones (1)[/tex]

[tex]Tens (10)[/tex]

[tex]Hundreds (100)[/tex]

[tex]Thousands (1000)[/tex]

And so on....

In the above order from right to left, the next after 10 is hundreds.

Hence;

Option B answers the question.

HURRY PLEASE!! I’ll mark you as brainliest
If 2x-5=11, what is 3x+10?

Answers

Answer:

34 I think almost positive

Step-by-step explanation:

Answer:   34

================================

Work Shown:

Solve the given equation for x

2x-5 = 11

2x = 11+5

2x = 16

x = 16/2

x = 8

Then use this to compute 3x+10

3x+10 = 3*8+10 = 24+10 = 34

Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.

What is the area of rectangle A'B'C'D'?

Answers

Answer:

12

Step-by-step explanation:

Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)

The area of rectangle before and after the 95° degrees rotation about point Q will be same.

What is the area of a Rectangle?

The area of a rectangle is the product of its length and width. Mathematically -

Area = length x width

Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'

The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.

Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.

To solve more questions on orientation of shapes, visit the link below-

https://brainly.com/question/20910518

#SPJ5

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12

Answers

what is the queen though?

Answer:

he only needed to pay 84 dollars.

Step-by-step explanation:

Help Please!!!What is the slope of the line passing through the points (-1, 7) and (3, 4)?

A) 4/3
B) 3/4 (wrong)
C) -3/4
D) -4 (Wrong)

Answers

Answer:

The answer is option C

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

We have

[tex]m = \frac{4 - 7}{3 - - 1} = \frac{ - 3}{3 + 1} = - \frac{3}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{3}{4} \\ [/tex]

Hope this helps you

Use a model to divide. 45 by 6

Answers

Answer:

45 / 6

Step-by-step explanation:

Step-by-step explanation:

draw 3 boxes.

put 6 on the side of the one on the left and then put 3 over the first two boxes and then put one over the last box. then on the side of the last box draw three tiny ones.

i'll try and draw it

    3    3    1

6 (18) (18) (6) then draw three tiny boxes.

you do this because 6 times 3 is 18 and if you do that twice its 36. then you do 6 times 1 which gives you 6. and 6 +36=42. then you add three boxes to make 45.

this probably made no sense. sorry

if y=27 when x=12, find x when y=-12

Answers

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y =  ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y =  ← is the equation of variation

When y = - 9, then

- 9 =  ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

An engineer on the ground is looking at the top of a building. The angle of elevation to the top of a building is 38º. The engineer knows the building is
300 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

A) 234 ft

B) 487 ft

C) 185 ft

D) 384 ft

Answers

Going based off of what i think and know i will go with D

anyone think they can help with this?

Answers

The answer right above me is right.

Some one help plz I would appreciate it very much

Answers

the second one is the correct answer

definition of congruence: if

Answers

Answer:

a statement that two numbers or geometric figures are congruent.

Step-by-step explanation:

Rate me please

Answer:

Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.

Step-by-step explanation:

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