if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1

Answers

Answer 1

Answer:

[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]

Step-by-step explanation:

We are given the value of x:

[tex]x= (4/5)^{-2}[/tex] divided by [tex](1/4)^2[/tex]

We need to find the reciprocal of x or:

[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]

Operating:

[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]

[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]

[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]


Related Questions

The ladder to the top of the super silde is 9 meters and the slide is 41 meters long how far is it from the bottom of the slide to the ladder?

Answers

Answer:

40 metres

Step-by-step explanation:

Pythagoras = [tex]\sqrt{41^{2} -9^{2} } =\sqrt{1600} =40[/tex]

In the diagram M is the midpoint if the segment. Find the length of XZ

Answers

Answer:

XZ = 14

Step-by-step explanation:

x+2 = 2x-3

-1x from both sides

2 = x - 3

+3 to both sides

5 = x

(plug in x for XM and MZ equations)

(5 + 2) + ((2×5) - 3)

7 + 7 = 14

The numerical length of XZ = 14

We have a Line Segment XZ such that M is mid - point of XZ.

We have to determine the length of XZ.

What is Mid - point of Line Segment?

The mid - point of a line segment is a point on a line that divides it into two equal parts.

According to question, we have -

XM = x + 2

MZ = 2x - 3

Since, M is the mid - point of XZ, therefore -

XM = MZ

x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Now -

XZ = XM + MZ

XZ = x + 2 + 2x - 3

XZ = 5 + 2 + 10 - 3

XZ = 14

Hence, the numerical length of XZ = 14.

To solve more questions on Lines and Lengths, visit the link below -

brainly.com/question/16345328

#SPJ2

Which function is quadratic?

Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x

1. Function f
2. Function g

Answers

Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

The quadratic function is the function that has 2 as the greatest power of the variable The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant

Let us use the information above to solve the question

f(x) = [tex]1.5^{x}[/tex]

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

f(x) is not a quadratic function

g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

g(x) is a quadratic function

An algebraic expression that contains variables is called​

Answers

Answer:

An algebraic expression that contains variables is called coefficients.

The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to transport 560 students?

Answers

Answer: 7 buses

Step-by-step explanation:

hope this helps!


What is the answer? I need help on this and it’s not popping up on here

Answers

Answer:

The answer for this question is

Step-by-step explanation:

[tex]5x {}^{3} + 9 \div x \\ \\ [/tex]

Solve for x 2x-10=4x

Answers

Answer:-5

Step-by-step explanation:

2x-10=4x

-10=2x (subtract 2x from both sides)

-10/2=x (divide both sides by 2)

-5=x

21, 31, 41, 51, ... Find S17​

Answers

Answer:

181

Step-by-step explanation:

Answer:

21=

31=

41=

51=

S17=

Solve for p: 3p+12=c+14

Answers

Answer:

p = [tex]\frac{c+2}{3}[/tex]

Step-by-step explanation:

Given

3p + 12 = c + 14 ( subtract 12 from both sides )

3p = c + 2 ( divide both sides by 3 )

p = [tex]\frac{c+2}{3}[/tex]

Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m. b One angle is 25° greater than another.

Correct answer gets brainliest!

Answers

Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°

∠2 = ∠4 = ∠6 = ∠8 = 102.5°

Step-by-step explanation:

In the picture attached, the parallel lines and the transversal are shown.

8 angles are formed, where:

∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8

On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:

∠1 + ∠1 + 25° = 180°

2∠1 = 180° - 25°

∠1 = 155°/2

∠1 = 77.5°

and

∠2 = 77.5° + 25° = 102.5°

Answer:

<1=<5

<4=<8

<2=<6

<3=<7[these all are corresponding angle]

<1=<3

<4=<2

<8=<6

<5=<7 [these all are vertically opposite angle]

a.If one angle is 77°

let<1=70°

than

<1=<5=<7=<3=77°

again

<1+<2=180°[linear pair]

<2=180°-72=98°

Than

<2=<6=<4=<8=98°

b One angle is 25° greater than another.

let <1=x than <2=<x+25°

<1+<2=180°[linear pair]

x+x+25=180°

2x=180-25

x=155.2

x=77.5°

x+25=77.5°+25°=102.5°

either

<1=<5=<7=<3=77°

<2=<6=<4=<8=102.5°

Or

<1=<5=<7=<3=102.5°

<1=<5=<7=<3=102.5°<2=<6=<4=<8=77°

How do you know which variable goes with which axis when you graph ?

Answers

Answer:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

( ALSO ANOTHER QUICK ONE)

There are 100 students and 5 teachers going on a field trip. Each bus can hold a maximum of 40
people. What is the fewest number of buses required for the field trip?

Answers

Answer:

So if you Divided the number of students to the number of the teachers you will have 19 students to each one teacher which means:

Step-by-step explanation:

100÷5=20 ( 19 students & 1 teacher )

science each bus can hold a maximum of 40 people.

100 = 20 20. 20. 20. 20

20 + 20 = 40 ( first bus )

20 + 20 = 40 ( second bus )

last 20 alone ( third bus )

The final answer is the fewest number of buses required for the field trip is 3 buses.

I need help with this asap, i will mark you brainliest!!

Solve for the value of x

Answers

x=5 because the triangle must keep consistency so 45-30=15
15=30/2 so 10/2=x

Describe fully the single transformation that maps shape A onto shape B.

Answers

Answer:

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

Step-by-step explanation:

The coordinates of the A are A(-1, 3)

The coordinates of the corresponding point on B is (-1, 1)

Therefore, given that the x-coordinates of the pre-image A and the image B are the same, therefore, we have that image B is a reflection of image A

Also half the vertical distance between figure A and B = (3 - 1)/2 = 1

Therefore, figure A is obtained from figure B by reflection across a horizontal line, 1 unit below the lowest y-coordinate of figure A which is the line y = 3 - 1 = 2

Therefore, we have;

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

It can be equal to the set and it can contain all the elements that are present in the set

Answers

Answer: yes

Step-by-step explanation:

helpmepleasethankyou:)

Answers

Answer:

4 6-packs would cost $14.40

8 6-packs would cost $28.80

1 juice would cost $0.60

-75x/4>14/2 I don't get this can someone help me with this?

Answers

Is this the equation ur supposed to solve because the question was a little bit messy

[tex] \frac{ - 75x}{4} > \frac{14}{2} [/tex]

Answer

50 Points. what is the value of x

Answers

Answer:

X will be = to 6°

Cause the lengths is 6

so 6 ×6° = 36°

I hope am wrong

I think the answer is 6 because 6 x 6 = 36

on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form

Answers

36 + 18 = 54

54:36

Answer: 3:2

A fence is 4 feet tall.
The fence has a shadow that is 5 feet long.

Paul is 6 feet tall, and he is standing next to the fence.

Use this information to complete the statement about Paul’s shadow.

Answers

Answer:

7.5 feet

4/5=6/x

cross multiply

4x=30

x=7.5

Step-by-step explanation:

Answer:

7.5 feet

Step-by-step explanation:

HELP PLEASE OR I WILL FAIL

Answers

Answer:

okay so basically

6(-12+5)-3(-12) = -6

Step-by-step explanation:

the answer is -6

help me please and thank you​

Answers

Given:

A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].

To find:

The point slope form of the given line.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is

[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]

[tex]y+6=\dfrac{1}{3}(x+2)[/tex]

Therefore, the correct option is A.

Kristy asks Lonnie to think of a number , Add 3 to it, multiply the sum by 2, and then subtract 6. Let n stand for lonnie's starting number. Which expression represents Lonnie's final number?

Answers

Answer:

2(n+3) - 6 = 2n

Step-by-step explanation:

Let n stand for lonnie's starting number.

Kristy asks to add 3 to the number. It will become (n+3)

Now he ask to multiply the sum by 2. It will become 2(n+3).

Finally, he ask to subtract 6. It will become 2(n+3) - 6

The expression is : 2(n+3) - 6.

We can simplify it as follows :

= 2n+6-6

= 2n

Hence, the required expression is 2n.

Answer:

no

Step-by-step explanation:

yyyy

How would you write the following expression as a single term? 3[2In(x - 1) – In(x)] + In(x + 1)​

Answers

Answer:

4Inx−5In

Step-by-step explanation:

Mark me Brainiest?

A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

The unicycle will travel 351.68 inches in 7 revolutions

Step-by-step explanation:

The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where

d is the diameter of the circular shapen the number of revolution

∵ A unicycle wheel has a diameter of 16 inches

d = 16 inches

∵ The unicycle will travel 7 revolutions

n = 7

→ Substitute them in the rule of the distance above

D = π(16)(7)

∵ π = 3.14

∴ D = 3.14(16)(7)

D = 351.68 inches

→ No need to round it, it is in the hundredth of an inch

The unicycle will travel 351.68 inches in 7 revolutions

у = 3х – 2
y = — 2х +8
How do I solve it by graphing?

Answers

I just plugged both equations into my calculator and found where they intersect. But you can do the same on paper by manually finding that intersection in the graph which should be (2,4)

In parallelogram BCDE if CE= 32 find GF
Please help I’ll give brainliest

Answers

Answer:

CF = 16

Step-by-step explanation:

One if the properties of a parallelogram is that the diagonals of a parallelogram bisect each other. This implies that:

CF = ½ of CE

Since CE is given as 32, therefore:

CF = ½ of 32

CF = 16

Does anyone know the answer?

Answers

Answer:

I believe its B: 33

Step-by-step explanation:

71 Times 100 = 7100

7100/215 = 33

A technician makes $34,400 a year and
a computer programmer makes $46,500 a
year. How much more does a computer
programmer make a year compared to a
technician.

Answers

a computer programer is making 12,100 more dollars than the technichan.

Lacey is going to paint her house over the summer. She has 3 1/2 cans of paint leftover from the last time she painted. She knows that each wall takes 2 1/4 cans to cover. How many walls can she paint with what she has?

Answers

Answer:

She can paint one qall becuase if she painted 2 she would need 4 2/4 cans of paint because 2 1/4+2 1/4 is 4 2/4.So the answer should be 1.

Step-by-step explanation:

Other Questions
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Their front legs are so powerful and so fast that it is hard to see them move when capturing prey. One second their legs are empty and the next they are clutching tightly to something they have caught Mantids are also stealthy. They walt, very still, very patiently for prey to come into sight. They also make slight swaying movements, to mimic leaves and grass moved by the wind. They focus intently on their victim. Then they pounce, suddenly, rarely missing their target. They are so successful they can triple in size every few months by molting when they outgrow their exoskeletons. They start out as nymphs, able to capture only prey that is smaller than they are. They end their lives about a year later becoming predators that can take down prey as large as hummingbirds. Finally, they are very personable, as far as insects go. They have a large, triangular shaped head with large eyes. This alien-like appearance makes them quite cute. 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