solve for x
4^5x=(1/32)^1-x

Answers

Answer 1

x = -1

Step-by-step explanation:

[tex] {4}^{5x} = {2}^{2(5x)} = {2}^{10x} [/tex]

[tex] {( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)} [/tex]

or

[tex] {2}^{10x} = {2}^{(5x - 5)} [/tex]

Since both sides have the same base, we can write

10x = 5x - 5

or

5x = -5

x = -1


Related Questions

Simply
7p2 x 3p
14p4

Answers

Answer:

[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]

WILL GIVE BRAINLIEST

Answers

Answer:

Should be $300

let me know if it's correct:)

the answer is 300
because 96 x 3 = 288
204 x 3 = 612

when you minus 288 - 612 the answer is 324 and the estimate is 300

Please help me thank you

Answers

Answer:

0.2

Step-by-step explanation:

Easy divide 1/5 as a decimal and you should get a decimal form number 0.2

1÷5=0.2

Hope this helps

in the function f(x) is translated 3 units

Answers

Answer: Choice D.   -f(x-3)

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

Explanation:

Imagine that we're able to move the xy grid freely but keep the f(x) curve fixed in place. Now imagine that we move the xy grid 3 units to the left. This would give the illusion the f(x) curve moves 3 units to the right.

If we replace each input x with x-3, then that will effectively move the xy grid 3 units to the left. So that's why f(x-3) is a translation of 3 units to the right.

The negative out front will reflect the curve over the x axis. Points of the form (x,y) become (x,-y). For example, if (1,2) is on the curve then (1,-2) is on the reflected curve.

Putting this all together and it leads us to -f(x-3) which is choice D.

X-3 is the correct answers

help! f(x)=x^2 what is g(x)

Answers

Answer:

C.) g(x) = 3x^2

what is 8690 rounded off to the neareset hundred?
am just asking​

Answers

Answer:

8700

Step-by-step explanation:

If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700

Answer:

Did not necessarily round up or down, but to the hundred that is nearest to 8690.

8690 rounded to the nearest hundred is: 8700

a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks

Answers

Answer:

3/5

Step-by-step explanation:

;)

The probability that a randomly selected student either takes the bus or walks is 3/5.

What is the probability?

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

A survey of 100 high school students provided this frequency table on how students get to school:

The probability that a student selected is a senior student or one that drives to school.

From the table, the number of senior students is 25 + 20 + 5 = 50

So the probability of selecting a senior student is 50/100 = 1/2

Now the probability of selecting a student that drives to school.

The number of students that drive to school is 3 + 2 +5 = 10

So the probability of a student who drives to school is 10/100 = 1/10.

The probability that a randomly selected student either takes the bus or walks is;

[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]

Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.

Learn more about probability here;

https://brainly.com/question/16937234

#SPJ2

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.

Answers

Answer:

16.6 inches

Step-by-step explanation:

using the pythagorean theorem which is a^2 + b^2 = c^2 you can add 9^2 + 14^ together to get 277 and when you find the square root of 277 you get 16.6

What’s the least number of faces a polyhedron can have? And why?

Answers

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower​

Answers

Answer:

CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH

Step-by-step explanation:

sorry po

Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket

Answers

Given:

Total amount spend on movie = $75

Each friend bought a ticket and a small popcorn that cost $8.25.

To find:

The price of each ticket.

Solution:

Let x be the price of each ticket.

Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]

Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]

It is given that, the total amount spend on movie is $75. So,

[tex]3(x+8.25)=75[/tex]

[tex]x+8.25=\dfrac{75}{3}[/tex]

[tex]x+8.25=25[/tex]

Subtract 8.25 from both sides.

[tex]x=25-8.25[/tex]

[tex]x=16.75[/tex]

Therefore, the cost of each movie ticket is $16.75.

What is the measure of ACB in O below?​

Answers

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

It didn't really give a question

Answers

Answer:

x=58 degree

Step-by-step explanation:

angle AGF +32 =90 degree (being perpendicular)

angle AGF =90-32

angle AGF =58 degree

angle x =angle AGF (being vertically opposite angles)

x=58 degree

Answer: It is asking for the answer to angle x, which is 68 degrees

type a digit that makes this statement true.7458__4 is divisible by four

Answers

There are 5 numbers that can make the above statement true. They are [tex]\boxed{0,\:2,\:4,\:6\:and\:8}[/tex].

[tex]\longrightarrow{\green{}}[/tex]  [tex]\sf\red{745804}[/tex], [tex]\sf\purple{745824}[/tex], [tex]\sf\blue{745844}[/tex], [tex]\sf\pink{745864}[/tex], [tex]\sf\orange{745884}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{745804}{4} = 186451 \\ \frac{745824}{4} = 186456 \\ \frac{745844}{4} = 186461 \\ \frac{745864}{4} = 186466 \\ \frac{745884}{4} = 186472[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

A number is divisible by 4 when the last two digits are a multiple of 4
So 04, 24, 44, 64, 84 are all valid final pairs

This is because all hundreds are divisible by 4

Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).

A)

y = x2 – 5x – 30

B)

y = 5x2+ 5x – 30

C)

y = –5x2 + 5x + 30

D)

y = 5x2 – 5x – 30

Answers

It's the letter B y=-5x2+5x+30.

What is the probability of getting 1 red and then blue?

Answers

Answer:

Find the volume of this prism.

Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0

Answers

Answer:

x1= -13,x2=3

Step-by-step explanation:

we have

(x+5)^2 -64=0

<=>x^ 2 + 10x+ 25-64=0

<=>x^ 2+10x-39=0

<=>( x-3).(x+13)=0

Answer:

-13, 3

Step-by-step explanation:

khan

Which equation represents a line that passes through (5,1) and has a slope of 1/2?​

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

y = 1/2x + b

1 = 1/2(5) + b

1 = 5/2 + b

-3/2 = b

Answer:

y=1/2x-3/2

Step-by-step explanation:

y-y1=m(x-x1)

y-1=1/2(x-5)

y-1=1/2x-5/2

y=1/2x-5/2+1

y=1/2x-5/2+2/2

y=1/2x-3/2

Three times a number increased by ten to equal to twenty less than six times the number. Find the number.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

will mark brainlist.​

Answers

Answer:

x =10

Step-by-step explanation:

3x + 10 = 6x -20

3x - 6x + 10 = -20

-3x + 10 = -20

-3x = -20 -10

-3x = -30

x = -30/-3

x = 10

Check:

3(10) + 10 = 6(10) - 20

30 + 10 = 60 - 20

40 = 40

[tex]1,6 + 6,13[/tex]

Answers

= 1,6 + 6,13

= 7,73 .

FollowMe? FollowBack.

Answer:

7,73

Step-by-step explanation:

1,6

6,13 +

7,73

[tex] \: \: \: [/tex]

Examine the diagram of circle O, where JW⎯⎯⎯⎯⎯⎯⎯⎯ and JV⎯⎯⎯⎯⎯⎯⎯ are tangent to circle O at points W and V, respectively. The diagram as described in the problem. © 2016 StrongMind. Created using GeoGebra. If JW=x8+4 and JV=x4+2, what is the length of JW?
a. 2
b. 6
c. 16
d. 10

Answers

Answer:

6

Step-by-step explanation:

Just got it right.

Write the word sentence as an inequality. Then solve the inequality. Eight times a number $n$ is less than 72

Answers

Answer:

8n < 72

n < 9

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

8 times n = 8n

8n is less than 72, this can be represented by the equation : 8n < 72

to determine the value of n, divide both sides of the equation by 8

n < 9  

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition​

Answers

Answer: C

Brainliest Me

I think that the correct answer is C.

Find numbers a and b, or k, so that f is continuous at every point.

Answers

Answer:

[tex] \boxed{k = 7} [/tex]

Step-by-step explanation:

When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.

Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.

In this case, the function is continuous at x = 7.

lim x→7 [x²] = lim x→7 [kx].

(7)² = k(7)

49 = 7k

÷7 ÷7

7 = k

k = 7.

Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.

A system of equations. c plus m equals 6. m equals StartFraction c over 3 EndFraction.
Which describes the ingredients Brad uses to make one batch of snack mix?

2 cups of cereal and 4 cups of mixed nuts
3 cups of cereal and 9 cups of mixed nuts
4.5 cups of cereal and 1.5 cups of mixed nuts
7.5 cups of cereal and 4.5 cups of mixed nuts

Answers

7.5 cups of cereal and 4.5 cups of mix nuts

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))

Answers

Answer:

The probability of getting 2 blues is 25/121.

Step-by-step explanation:

There are 6 + 5 marbles in total, 11 marbles.

The chances of picking a blue marble is 5/11.

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.

5/11 * 5/11 = 25/121

The probability of getting 2 blues is 25/121.

Hope this helps, please mark brainliest! :) Have a great day.

2/10 i think because there are 10 marbles in all and 2 of them are blues ur getting out

What is the recursive rule for the sequence?

−2.7, −8.3, −13.9, −19.5, −25.1




an=an+1+5.6, where a1=−2.7

an=an+1−5.6, where a1=−2.7

an=an−1+5.6, where a1=−2.7

an=an−1−5.6, where a1=−2.7

Answers

Answer:

[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]

Step-by-step explanation:

This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].

Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]

[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: [tex]d = -5.6[/tex]

Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]


Can somebody help me? Plsss

Answers

Answer:

3/10

Step-by-step explanation:

There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10

Answer:

3/13

Step-by-step explanation:

Total cards in a deck=52

There are four cards of each number which in this case is 2,3,4

Total of 2s,3s,and 4s=12

12/52 simplify this and u get

3/13

Hope this helps u

A quadratic monomial with a leading coefficient of 6

A linear binomial with a leading coefficient of 2

Answers

Given:

A quadratic monomial with a leading coefficient of 6.

A linear binomial with a leading coefficient of 2.

To find:

The mathematical terms for the given statements.

Solution:

Monomial: The expression with single term.

Binomial: The expression with two terms.

Quadratic: Highest power of the variable is 2.

Linear: Highest power of the variable is 1.

Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.

The first statement is "A quadratic monomial with a leading coefficient of 6".

Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].

The second statement is "A linear binomial with a leading coefficient of 2".

Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].

Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].

Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].

A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].

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