what is the exact solution for 75(1/5)^(x/5)=3

Answers

Answer 1

Answer:

[tex]\large \boxed{x = 10}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]

[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]


Related Questions

PLEASE HELP ME ITS VERY URGENT

Answers

Answer:

s=4.75

Step-by-step explanation:

plug the letters in the formula

ut+1/2at^2

10×0.5+-2×0.5^2

Answer: 4.75!!!!!!!!!!!!

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

A

Step-by-step explanation:

Hope it helped

Answer:Thr answer is A

minus A plus 6 a ncert solution class 9​

Answers

Answer:

yes htjjevdhfifnfjjdeirjfjebdv dbdu you fr

Given the function ƒ(x) = 9x2 + 27x + 2, find ƒ(2)

Answers

Answer:

92

Step-by-step explanation:

Please use " ^ " to indicate exponentiation, ok?  Thank you.

If

ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"

f(2) = 9(2)^2 + 27(2) + 2

This becomes:

f(2) = 36 + 54 + 2 = 92

Jeanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Answers

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           [tex]\frac{n!}{r!(n-r)!}[/tex]  =[tex]\frac{10!}{ 6!(10-6)!}[/tex]

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Answer:

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Step-by-step explanation:

explanation

Which of the following phrases are inequalities?
Choose 3 answers:

Answers

Answer:

option b,c,d

Step-by-step explanation:

Given choices are

A: x^2-5x+6

B: 11> (w-4)^2

C: y< 3^4

D: 5+9<5\cdot 95

E: \dfrac{z+11}{2z-1}

Inequality is the phrase that contains variables or numbers and inequality symbols like <  or > or <= or >=

option A goes not have inequality symbol , so it is not an inequality

Option B has > symbol. It is an inequality

Option C has < symbol. It is an inequality

Option D has < symbol. It is an inequality

Option E has only fraction. So it is not an inequality

I don’t understand how to find the median of the triangle.

Answers

Answer:

9

Step-by-step explanation:

You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y

Simplify to get...

16y = 18(y-1)

16y = 18y - 18

-2y = 18

y = 9

*EASY 7 GRADE MATH*
FIRST ANSWER WILL BE MARKED AS BRAINLIEST!

Find the area and circumference of a circle with a diameter of 48 cm. Use 3.14. :) Thanks!

Answers

Answer:

C=150.72 cm

A=1808.64 cm square

Step-by-step explanation:

If you are given the diameter(radius) of a circle you can find the area and the circumference of a circle.

since d(diameter)=2r(radius)

         48=2r

         r=24

[tex]C=2\pi r\\ C=2*3.14*24\\C=6.28*24\\C=150.72cm[/tex]     If we found the circumference only the area is left.

[tex]A=\pi r^{2} \\A=3.14*24^{2} \\A=3.14*24*24\\A=3.14*576\\A=1808.64 cm^{2}[/tex]

The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply won’t latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that can’t be true because he measured your door frame and found it be an exact right angle. He claims what you’re seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle?

Answers

Answer:

If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.

Step-by-step explanation:

Maybe if the door was straight, but you saw it at a right angle then maybe you      were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

$15.70

Step-by-step explanation:

The total Cost is 101.40

The tax is               7.20    Subtract the tax

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

The cost of 6 CDs=94.20

1 CD costs 94.2 / 6

1 CD costs 15.70

What does Arc CDE describe?

a minor Arc

a major Arc

a semicircle

a chord

Answers

Answer:

I believe it's major arc

Step-by-step explanation:

Second option on edge

Answer:

b

Step-by-step explanation:

RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2). The distance between the x-coordinates of R and T is . The distance between the y-coordinates of R and T is . R' is from T, so the coordinates of R' are .

Answers

Answer:the distance between the x coordinates of R and T is 3.

The distance between the y coordinates of R and T is 6

R’ is 1 unit left, 2 units up from T, so the coordinates of R’ are (2,0)

Answer:

The answer above is correct!

First Box: 3

Second Box: 6

Third Box: 1 unit left, 2 units up

Fourth Box: (2,0)

Step-by-step explanation:

I attached a screenshot below for proof ;)

Hope this helps :D

Identify the terms and like terms in the expression.
z + 8 - 4z​

Answers

Answer:

z and -4z are like terms

Terms: z,8,-4z

like terms: z,-4z

If you expand and simplify. -(y+2)(y-8)

Answers

Answer:

[tex]-y^2+6y+16[/tex]

Step-by-step explanation:

[tex]-(y+2)(y-8)[/tex]

[tex]-1(y+2) \times (y-8)[/tex]

[tex](-y-2)\times (y-8)[/tex]

[tex]-y(y-8)-2(y-8)[/tex]

[tex]-y^2+8y-2y+16[/tex]

[tex]-y^2+6y+16[/tex]

Brainliest ? For which inequality is (0,0) a solution?

Answers

Answer:

C. y-5>3x-7

Step-by-step explanation:

If you multiply y and x to 0 you get -5 > -7

Answer:

C. y-5>3x-7

Step-by-step explanation:

The point (0, 0) would be a solution because the inequality is greater than or equal to. Since the 2 sides become equal, the inequality is true which means (0, 0) is a solution.

please mark me brainliest :)

I WILL MARK YOU BRAINLIEST!!!!! HELP PLZZ!!!!

Answers

Answer:

The zeros of the function are the numbers when put in the function will make it equal to zero

let y = 0

2x² +5x +2 = 0

(x + 2)(2x + 1) = 0

x = 2 , x = -1/2

The answer is option c.

Step-by-step explanation:

x = 2,x = -1/2

=)))))))))

Match the Exponential functions to the Y intercept.

Answers

Answer:

f(x)= -10^x-1-10= (0,-101/100)

f(x)= -3^x-2-1= (0,-10/9)

f(x)= -3^x+5-9= (-252)

f(x)= -17^x-1+2 = (0,33/17)

Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22

Answers

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

find the constant of proportionality: 84 miles per 4 hours

Answers

Answer:

k = 21 miles per hour

Step-by-step explanation:

The constant of proportionality is

k = 84/4

k = 21 miles per hour

Answer:

[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]

Step-by-step explanation:

[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]

Use cross multiply

[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

If -3/x = x/-27 , What is the positive value of x

Answers

Answer:

-3=x^2/-27

x^2=(-3)(-27)

x=9 or x=-9

Step-by-step explanation:

what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?

Answers

Answer:

20 =10X2cm

20

answer answer

Step-by-step explanation:

First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.

plzz answer this question i will mark brainliest

Answers

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2


A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?

Answers

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

Answer:

b

Step-by-step explanation:

edge2020

the __________ set is the set of elements under consideration

Answers

Answer:

SYNTAX PROPERTY

Step-by-step explanation:

Are these functions??!!

I need this for today if you do all of it i’ll fr cashapp you money for it wassupp?

Answers

Answer:

Going from left to right:

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Step-by-step explanation:

Functions cannot have any repeating x-coordinates.

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
What is the horizontal distance from Mike to the kite?

Answers

the answer to this is 12

The horizontal distance from Mike to the kite will be 12 feet.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Now,

Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.

Let the horizontal distance from Mike to the kite = x feet

Hence, We can formulate;

⇒ 20² = x² + 16²

⇒ 400 = x² + 256

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = 12 feet

Thus, The horizontal distance from Mike to the kite will be 12 feet.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ5



When a number is tripled, it gives the same result as when 32 is added to it.
What is the number?

Answers

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

Let the unknown number be x.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

Find more information: https://brainly.com/question/4728821

−4x−6=−5y+2 Write a formula for g(x) in terms of x

Answers

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

Can someone please help?? I need help on the Job one

Answers

Answer:

The first one

Step-by-step explanation:

The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament

Job is in the Old Testament,thats true for the first one

Viktoriya solved an equation as shown below.

5 (x - 2) -3 x = 2 (x - 3) - 16
5 x - 10 -3 x = 2 x -6 = 16
2 x - 10 = 2 x - 22.
-10 = -22.

She says that the equation has infinitely many solutions. Which describes Viktoriya’s error?

A.) Viktoriya used the distributive property incorrectly when she found the solution.
B.) Viktoriya should have said that the equation has no solution.
C.) Viktoriya should have continued to solve the equation to find that x = 0.
D.) Viktoriya should have said that the equation has one unique solution.

Answers

Answer:

B

Step-by-step explanation:

When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!

Answer:

I think it is B

Step-by-step explanation:

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