Which expression is the simplest form of (x^-5/6)^6?

Answers

Answer 1

Answer:

Step-by-step explanation:

sistemul digestiv

Answer 2

Answer x^-5

Step-by-step explanation: since (- 5/6)*6=-5

The answer is x^-5


Related Questions

What is the value of x? Enter your answer as a decimal to the nearest tenth in the box. ft Right triangle A B C with right angle at angle B. Angle A is 36 degrees. A B is 15 feet. B C is labeled x.

Answers

Answer:

x = 10.9

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{15}[/tex]

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )

Answer:

What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.

10.9 ft

may I get some help? ​

Answers

12. Answer:  $9.50

Step-by-step explanation:

4 tickets plus 1 popcorn equals 44.25

    4t         +       1(6.25)       =       44.25

4t + 6.25 = 44.25

   -  6.25   -6.25     Subtraction Property of Equality

4t            = 38.00

÷4             ÷4           Division Property of Equality

t             = 9.50  

13. Answer:

Step-by-step explanation:

4.9x - 1.9 = 27.5

       +1.9    +1.9        Addition Property of Equality

4.9x         = 29.4

÷4.9           ÷4.9        Division Property of Equality

     x          =   6

GgAnswer:

Step-by-step explanation:

gg

Help me Assap step by step

Answers

Answer:  F) 7 mph

Step-by-step explanation:

The line you drew is correct but you read the graph wrong.  

The line drawn from 15 hours of training (bottom axis) meets the "line of best fit" at the average running speed (left axis) between 6 and 8, which is 7.

HELP!!!


Evaluate -[-(-4)]
A) -4
B) 0
C) 1
D) 4

Answers

Hey there!

Answer:

A. -4

Explanation:

All you do is evaluate:

[tex]-(-(-4))\\= -4[/tex]

= A. -4

Therefore, that is how you got your answer.

Hope this Helps!

Answer:

A. -4

Explanation:

All you do is evaluate:

= A. -4

Therefore, that is how you got your answer.

Hope this Helps

Find the Volume 14cm 8cm 10 cm 10cm 10cm 8 cm

Answers

1120cm^3+800cm^3

ans

=1920cm^3

Answer:

Volume of the cuboid = 1120cm³

Step-by-step explanation:

The question is incomplete and incorrect. Here is the complete and correct question.

"Find the volume of cuboid measuring 14cm, 10 cm and 8cm"

The volume of a cuboid = Length × breadth × Height.

Given Length = 14cm

Breadth = 10cm

Height = 8cm

Volume of the cuboid = 14cm × 10cm × 8cm

Volume of the cuboid = 1120cm³

Which of the following sets of side lengths would not form a triangle?

A. 29, 39, 69

B. 29, 38, 49

C. 29, 41, 19

D. 29, 37, 10

Answers

The answer is A.

29 + 39 < 69.

Mrs. Quan wants to make a quilt that is 12 squares long and 9 squares wide. How many squares will be in her quilt?


A.
21 squares


B.
42 squares


C.
108 squares


D.
144 squares

Answers

Answer:C

Step-by-step explanation:9 times 12 equals 108

determine the value of x? ​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]a^{x^2-5x}[/tex] = [tex]a^{6}[/tex], hence

x² - 5x = 6 ( subtract 6 from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 1

Answer:

x=6, -1

Step-by-step explanation:

Using the rule of exponents:

a^{m} ÷ a^{n} = a^{(m-n)} , then

aˣ² ÷ a^{5x}  = a⁶

⇒ a^{x^2 - 5x} = a⁶

⇒ x² - 5x = 6

x² - 5x - 6 = 0

(x - 6)(x + 1) = 0 [middle term splitting]

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6     ║     x + 1 = 0 ⇒ x = -1

What is the value of x?

Answers

Answer:  [tex]x=2[/tex]

Step-by-step explanation:

To solve this exercise you must apply the Intersecting secan theorem.

Then, according to this theorem, you can know that:

[tex]EC*ED=EB*EA[/tex]

Therefore, you must substitute the values shown in the figure attached, as following:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)[/tex]

Now you can solve for x, as you can see below:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)\\\\\\x^2+5x+4x+20=x^2+12x+x+12\\\\x^2+9x+20=x^2+13x+12\\x^2-x^2+9x-13x=12-20\\-4x=-8\\x=2[/tex]

the weight of an object on the moon.m.is about 1/6 of the object weight on earth on,e, which equation reprenstt the approximate weight of an object on the moon in terms of the object weight on earth

Answers

e = weight on Earth
m = weight on moon

m = 1/6e



Please consider marking this answer as Brainliest to help me advance.

f(x) = x2 − 8x 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U

Answers

Answer:

h(x) =  x - 5

set of all integers except 3

-∞ ≤ x ≤ ∞ and x ≠ 3

Step-by-step explanation:

Given the two equations in the question

Equation 1

f(x) = x² − 8x + 15

Equation 2

g(x) = x − 3

To find equation 3 that is h(x) we need to divide f(x) by g(x)

f(x) / g(x)

x² − 8x + 15 /  x − 3

By using quadratic factorisation  

(x-3)(x-5) / (x-3)

Cancel (x-3) from both numerator and denominator

h(x) = x-5

The domain of h(x)

set of all integers except 3

-∞ ≤ x ≤ ∞ and x≠3

Answer:

first blank is x-5

second blank is -infinity, 3

third blank is 3, infinity

car rentals invert a 130 flat fee in additional cost of 31.67 a day what is the maximum number of days you can rent a car if you have a $500 budget

Answers

Answer:

11 days

Step-by-step explanation:

What is the degree measure? Please help me with number three show work please!

Answers

Check the picture below.

notice, both inscribed angles are intercepting the same arcQS.

There are 8 friends who are going to have a water fight with two bags of 150 water balloons. Which of the following best describes how many water balloons each person will get if they divide the water balloons as evenly as possible?

Answers

Final answer:

Each friend will get 37 water balloons, with 4 remaining.

Explanation:

To divide the 300 water balloons evenly among the 8 friends, we can use division. We divide 300 by 8 to find out how many water balloons each person will get. The quotient is 37 with a remainder of 4. So, each friend will get 37 water balloons, and there will be 4 remaining balloons.

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which point lies on a circle with a radius of 5 units and center at P(6,1)?
a. Q(1, 11)
b. R(2, 4)
c. S(4, -4)
d. T(9, -2)

Answers

Answer:

Option B. [tex]R(2,4)[/tex]

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

[tex](x-6)^{2}+(y-1)^{2}=5^{2}[/tex]

[tex](x-6)^{2}+(y-1)^{2}=25[/tex]

step 2

Verify each case

case A) [tex]Q(1, 11)[/tex]

substitute the value of [tex]x=1, y=11[/tex] in the equation of the circle and then compare the results

[tex](1-6)^{2}+(11-1)^{2}=25[/tex]

[tex]25+100=25[/tex] ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) [tex]R(2,4)[/tex]

substitute the value of [tex]x=2, y=4[/tex] in the equation of the circle and then compare the results

[tex](2-6)^{2}+(4-1)^{2}=25[/tex]

[tex]16+9=25[/tex] ------> is true

therefore

the ordered pair R lie on the circle

case C) [tex]S(4,-4)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](4-6)^{2}+(-4-1)^{2}=25[/tex]

[tex]4+25=25[/tex] ------> is not true

therefore

the ordered pair S not lie on the circle

case D) [tex]T(9,-2)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](9-6)^{2}+(-2-1)^{2}=25[/tex]

[tex]9+9=25[/tex] ------> is not true

therefore

the ordered pair T not lie on the circle

In the diagram below O id circumscribed about quadrilateral ABCD. What is the value of x?

Answers

Answer:

x = 21

Explanation:

x = [tex]\frac{105}{5}[/tex] = 21 degree will be the answer.

{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}

Answer:

In a cyclic Quadrilateral , sum of opposite pair of interior angles are Supplementary.

So, ∠A + ∠C=180°

And, ∠B + ∠D=180°

We have to find the value of x.

So, we will use the equation

∠B + ∠D=180°

→5 x +75° =180°

5 x= 180° - 75°

5 x= 105°

Dividing both side by , 5 we get

x=21°

Option C

Is it possible for two numbers to have a difference of 6, and also a sum of 6?

Answers

Answer:

The only possible numbers are 6 and 0.

Step-by-step explanation:

We are given the following information in the question:

Let x and y be the two numbers whose difference is 6 and whose sum is also 6.

We can write it in the form of the equation:

[tex]x - y = 6\\x+y =6\\\\\text{Adding the two equations}\\(x-y) + (x+y) = 12\\2x =12\\x = 6\\\\\text{Putting this value of x in one of the equations}\\6 + y = 6\\y = 0[/tex]

Hence, the only possible numbers are 6 and 0.

It is possible as the numbers are 0 and 6.

Let the numbers be a and b.

Based on the question, the equation to solve the question will be:

a - b = 6 ........ i

a + b = 6 ........ ii

From equation i, a = 6 + b

Put the above into equation ii

a + b = 6

(6 + b) + b = 6

6 + 2b = 6

2b = 6 - 6.

2b = 0

b = 0/2

b = 0

Therefore, the value of a will be:

a = 6-0 = 6.

The numbers are 0 and 6.

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Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the 1 white shirt she donated. Joanie has 2 times more gray shirts than brown shirts. If she has the same number of black and white shirts, how many gray shirts does Joanie have?
A. 2
B. 1
C. 4

Answers

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

[tex]b = 3g +3[/tex]     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

[tex]w = 5g -1[/tex]      (ii)

It has 2 times more gray shirts than brown camsas, then:

[tex]g = 2B[/tex]         (iii)

It has the same amount of black and white shirts

[tex]b = w[/tex]            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

[tex]b = 5g -1[/tex]        (v)

Now substitute (v) into (i) and clear g.

[tex]5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2[/tex]

Joan has 2 gray shirts

Joanie has 2 gray shirts, option A.

To determine the number of gray shirts Joanie has, we'll set up and solve a system of equations. Let G represent the number of gray shirts and let B, W, and R represent the number of black, white, and brown shirts, respectively.

Given the information:

Joanie has 3 times as many black shirts as gray shirts plus 3 new black shirts: B = 3G + 3.She has 5 times as many white shirts as gray shirts minus 1 white shirt: W = 5G - 1.Joanie has 2 times more gray shirts than brown shirts: G = 2R.She has the same number of black shirts as white shirts: B = W.

1. Set the equations for black and white shirts equal:

3G + 3 = 5G - 1

2. Simplify and solve for G:

3 + 1 = 5G - 3G

4 = 2G

G = 2

Thus, Joanie has 2 gray shirts.

A rectangular prism has a length of 9in., a width of 4in., and a height of 1 1/2in. The prism is filled with cubes that have edge lengths of 1/2. How many cubes are needed to fill the rectangular prism?

I NEED HELP ASAP!!

Answers

Final answer:

To fill a rectangular prism with dimensions 9in. by 4in. by 1.5in. using half-inch cubes, you need to divide the volume of the prism (54in.^3) by the volume of a cube (0.125in.^3), resulting in 432 cubes needed.

Explanation:

To determine how many half-inch cubes are needed to fill the rectangular prism, we must first calculate the volume of the prism and then the volume of a single cube. Next, we divide the volume of the prism by the volume of a cube to find the number of cubes needed.

Calculating the Volume of the Rectangular Prism

The volume of a rectangular prism is found by multiplying its length by its width by its height. Volume of the prism = length × width × height = 9in. × 4in. × 1.5in. = 54in.3.

Calculating the Volume of a Cube

The volume of a cube is found by raising the length of an edge to the third power. Volume of a cube = edge length3 = (0.5in.)3 = 0.125in.3.

Number of Cubes Needed

To find the number of cubes needed to fill the prism, divide the volume of the prism by the volume of a cube. Number of cubes needed = Volume of the prism / Volume of a cube = 54in.3 / 0.125in.3 = 432.

Therefore, 432 half-inch cubes are needed to fill the rectangular prism.

If point F is translated 2 units to the left and 2 units down, what are the coordinates of F'?

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Just use the graph and follow the translation.

Which of the following measurements could be the side lengths of a right triangle? A. 54 in, 72 in, 108 in B. 54 in, 81 in, 90 in C. 45 in, 72 in, 90 in D. 54 in, 72 in, 90 in

Answers

Final answer:

To determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Option D, with side lengths 54 in, 72 in, and 90 in, satisfies the theorem and represents a right triangle.

Explanation:

In a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem: a^2 + b^2 = c^2.

So, to determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Let's check each option:

Option A: (54)^2 + (72)^2 = 2916 + 5184 = 8100. However, the measurement for the third side (108) does not satisfy the theorem, so this is not a right triangle.Option B: (54)^2 + (81)^2 = 2916 + 6561 = 9477. This also does not satisfy the theorem, so this is not a right triangle.Option C: (45)^2 + (72)^2 = 2025 + 5184 = 7209. Again, this does not satisfy the theorem, so this is not a right triangle.Option D: (54)^2 + (72)^2 = 2916 + 5184 = 8100. This time, the measurement for the third side satisfies the theorem (90), so this is a right triangle.

Therefore, the correct answer is option D: 54 in, 72 in, 90 in.

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Help please urgent!

Use the GCF of 10 and 15 to cross-cancel and reduce and solve [tex]\frac{5}{15}x\frac{5}{10}[/tex]

Answers

Answer:

5

Step-by-step explanation:

Final answer:

Using the GCF of 10 and 15, which is 5, we cross-cancel the fractions 5/15 and 5/10 to reduce them to 1/3 and 1/2 respectively. Multiplying these reduced fractions, we obtain the final answer of 1/6.

Explanation:

To solve the fraction 5/15 × 5/10, we first identify the Greatest Common Factor (GCF) of the numerators and denominators. The GCF of 10 and 15 is 5. Using this GCF, we cross-cancel to reduce the fractions before multiplying.

Firstly, we divide both 10 and 15 by the GCF, which gives us:

10 ÷ 5 = 2

15 ÷ 5 = 3

Applying cross-cancellation to the original expression, we get:

(5 ÷ 5) / (15 ÷ 5) × (5 ÷ 5) / (10 ÷ 5)

1/3 × 1/2

Multiplying these reduced fractions gives us:

1/3 × 1/2 = 1/6

Thus, the result of multiplying 5/15 by 5/10, after cross-cancelling the common factors, is 1/6.

1.The temperature was 80∘F and then fell 20∘F. 2.The temperature was -13∘F and then rose 9∘F. 3.The temperature was -5∘F and then fell 8∘F.

Answers

If your looking for the ending temperatures on each one here they are in Celsius and Fahrenheit!

1. 60°F or 15.6°C

2. -4°F or -20°C

3. -13°F or -26°C

Answer:

The initial temperature is 80 °F.

The final termperature is 20°F.

During this period, fell 60 °F which represents a percentage of

[tex]\frac{60}{80} \times 100= 75\%[/tex]

We repeat the process for the rest.

From -13 °F to 9 °F, the temperature arose 22 °F, which is equivalent to

[tex]\frac{22}{13} \times 100= 169.23 \%[/tex]

From -5 °F to 8 °F, the temperature fell 13 °F, which is equivalent to

[tex]\frac{13}{5} \times 100= 260 \%[/tex]

A polygon has the following coordinates: A(-5,5), B(2,5), C(-5,-2). Find the length of AB.
A.
5 units
B.
7 units
C.
6 units
D.
4 units

Answers

Answer:

7

Step-by-step explanation:

Since these two points are straight left and right from each other it's really easy.  Think of it as just moving so many spaces left or right on the x axis.  We are moving from point (-5,5) along the line y=5 to the point (2,5), which is moving 7 units.

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?

Answers

200 minutes.

First, multiply 120 by 5 to find how much time it would take for one tap. You get 600 minutes. Now, divide by 3 to find how much time it would take 3 taps. You get 200 minutes.

Final answer:

It will take 72 minutes to fill the pool using only 3 taps.

Explanation:

To find out how many minutes it will take to fill the pool using only 3 taps, we can set up a proportion.

If it takes 120 minutes to fill the pool using 5 taps, then the rate at which water flows from the taps is 1 pool/120 minutes/tap.

Using this rate, we can set up the proportion:

5 taps / 3 taps = 120 minutes / x minutes

Cross-multiplying and solving for x gives us:

x = (3 taps * 120 minutes) / 5 taps = 72 minutes

So, it will take 72 minutes to fill the pool using only 3 taps.

What is the circumference of a circle is 22 pi yards. Find the radius of the circle in terms of pi


What is the answer

Answers

Answer:

r=C

Step-by-step explanation:

PLEASE HELP ASAP

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°
Find: m∠EFO

Answers

Based on the inscribed isosceles triangle shown below, the measure of angle EFO is 62°.

In Euclidean Geometry, the measure of an intercepted arc is equal to the central angle of a circle. Based on the information provided above, the measure of arc FE is equal to 56°, so the measure of the central angle FOE must be equal to 56°.

By critically observing triangle FOE, we can logically deduce that it is an isosceles triangle with base FE because segments FO and EO represent the radii of circle O.

Since an isosceles triangle comprises two (2) side lengths that are equal and two (2) base interior angles that are congruent, we have:

FD = ED

m∠EFO ≅ m∠FEO

By applying triangle sum property to triangle FOE, we have;

m∠EFO + m∠FEO + mFE = 180°

2m∠EFO + m∠FE = 180°

2m∠EFO + 56° = 180°

m∠EFO = (180° - 56)/2

m∠EFO = 62°

Complete Question:

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°

Find: m∠EFO

Ian graphs these equations and find that the lines intersect at a single point, (-2,-0.5).

Answers

Answer:

A. They are the only values that make both equations true.

Step-by-step explanation:

Equation A: 4y-3x=4

Equarion B: -2x-8y=8

Put x=-2, y=-0.5 in those two equations.

Equation A: 4(-0.5)-3(-2)=4

                     -2+6=4

                         4=4

Equation B: -2(-2)-8(-0.5)=8

                      4+4=8

                          8=8

So it's not B and C.

For D, you can tell that they are didferent lines by put them in to F(x)=kx+b format, and it tell you it's not D.

Answer:A

Step-by-step explanation:A P E X

if y varies directly with x, find the constant variation with x= 4 and y= -26

Answers

The constant variation is k=-13/2

Answer:

k = - 6.5

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 4 when y = - 26, hence

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-26}{4}[/tex] = - [tex]\frac{13}{2}[/tex] = - 6.5

F(x)= x+5
———
X3+27
Find the horizontal asymptote....

Answers

Answer: [tex]y=0[/tex]

Step-by-step explanation:

The given function is a rational function:

To solve the given problem you must keep on mind that:

-  An asymptote is define as a line that the graph of the function approaches but never touches.

- In rational functions, if the degree of the polynomial in the numerator is lower than the degree of the polynomial in the denominator, then  the horizontal asymptote is located at y=0.

In the given function, the degree of the polynomial in the numerator (which is 1) is lower than the degree of the polynomial in the denominator (whic h is 2). Therefore, the horizontal asymptote is located at [tex]y=0[/tex]

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