please help
which of the following is equivalent to x^-1/2?

The inverse οf the given functiοn is  (5x+1)/2.

An inverse functiοn is a functiοn that undοes the resuIts οf anοther functiοn. A functiοn g is the inverse οf a functiοn f when x=g(y) and y=f(x). In οther wοrds, appIying f and then g is the same as dοing nοthing. In terms οf the cοnnectiοn between f and g, this can be written as g(f(x))=x.

Here, we have

Given: f(x) = (2x-1)/5

We have tο find the inverse οf the given functiοn.

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

y = (2x-1)/5

Interchange the variabIes.

x =  (2y-1)/5

SοIve fοr y

5x + 1 = 2y

y = (5x+1)/2

RepIace y with f⁻¹(x) tο shοw the finaI answer.

f⁻¹(x) = (5x+1)/2

Hence, the inverse οf the given functiοn is  (5x+1)/2.

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Answer:

Dividing

Step-by-step explanation:

I think you meant dividing instead of diving

Answer:

1

Hope that helps.

Answer:

1

Step-by-step explanation:

16/16=1

Hope this helps, if you have any questions, feel free to ask

Have a good day! :)

Answer:

11.07/9

Step-by-step explanation:

Math

Answer:

25

Step-by-step explanation:

common denominator is 10, so 4/10 plus 5/10 plus 1/10 is 1x. 6 minus 1 is 5. 1x+5 is 26. 1x=25 x=25

Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15

Answer:

15

Step-by-step explanation:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,

Answer: (7,4)

Step-by-step explanation:

The easy way out here is just to plug in all of these following coordinates into the equation.

When we plug in (7,4) the work turns out to be:

(4)-4=-1/2((7)-7)

4-4=-1/2(0)

0=0

Answer: Length (in feet) x width (in feet) = area in sq. ft. 

Step-by-step explanation:

Answer:

kkkkkkiokkioi Krispy soup ohh oh to

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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Answer:

please rate and heart :)

have a great day!!

The answer is given,

1.n - 2 = 52

2.x - 3 = 12

3.5 + x = 50 - 10

4.3 + x = 60

5.x + 6 = 10 - 2

6.x - 9 = 12

7.x + 5 = 13

8.x + 10 = 20

9.5x = 25

10.2x = 5 + 2

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

as the description given,

we get,

1.n - 2 = 52

2.x - 3 = 12

3.5 + x = 50 - 10

4.3 + x = 60

5.x + 6 = 10 - 2

6.x - 9 = 12

7.x + 5 = 13

8.x + 10 = 20

9.5x = 25

10.2x = 5 + 2

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Answer:

Down Here ↓↓↓↓↓

Picture Attached

Step-by-step explanation:

P is 1 1/4 units to the left of 0

R is 3/4 units to the left of 0

Q is 1/4 units to the right of 0

S is 1/4 units to the left of 0

-Chetan K

Answer:

y = -Ax + C

Step-by-step explanation:

Ax + By = C

-ax            -ax

By  = -Ax + C

Answer:

y = -Ax + C

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only one window has height that is a whole number of centimeters

\(\mathcal{HOPE \: IT \: HELPS}\)

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Answer:

no they're not congruent angle side side No,no son congruents angle side side

Answer:

$5

Step-by-step explanation:

Number of hours worked = 32

Total pay = $160

So, hourly rate

= Total pay/number of hours worked

= $160/32

= $5

For the function f(x)=[[x]] with f(6) the value is obtained as 6.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as f(x)=[[x]], the value for x is 6.

The step function f(x) = [[x]] represents the greatest integer less than or equal to x.

So, for f(6), evaluate [[6]], which is the greatest integer less than or equal to 6. Since 6 is an integer, the greatest integer less than or equal to 6 is 6 itself.

So, f(6) = [[6]] = 6.

Therefore, the value is obtained as 6.

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Answer:

8.25

Step-by-step explanation:

Divide 13.20 by 1.6 to get 8.25 because if the total is 13.20 and there is 1.6 pounds of almonds then you can find the price per pound

Based on the quantity of almonds bought and the price paid, the cost per pound of almond is $8.25.

Haley bought 1.6 pounds of almonds for $13.20.

The amount she effectively paid for each pound of almonds is therefore:

= Total cost / Quantity of almonds

Solving would give:

= 13.20 / 1.6

= $8.25

In conclusion, a pound of almonds cost $8.25.

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Answer:

(6,5)

Step-by-step explanation:

In (1,2), 1 is is x so any number added to it goes to the right or left.  2 is y so any number added to it goes up or down.  It says translate right 5 units so that will be for x, a.k.a 1.  

1+5= 6 (new x)

Same with y, a.k.a 2.  It says up 3 units, so it must mean add on to y.

2+3= 5 (new y)

We now take our new values and put them back in the parentheses:

(6,5)

Answer: 5/11

Tip:

You can solve for these repeating fractions by putting the repeating digits over 9's!

For example, 0.33 repeating:

33/99 = 1/3

And in the case of your problem:

0.454545...

45/99 = 5/11 (simplify!)

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

The digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place

Place value is simply the value of each digit in a number.

For instance:

It is important to note that place value is the value represented by a digit in a number on the basis of its position in the number or figure.

We can deduce the following:

Thus, the digit in the hundreds place has a value 10 times as great as the value in the tens place. The digit in the tens place has 1/10 the value of the digit in the hundred place

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Answer:

\(18x - 12y -8\)

Step-by-step explanation:

Distribute property means that \(a(b+c)=ab+ac\)

Meaning that you will have to multiply 3(6x) and 3(-4y)

3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8

Answer:

gross income - ( required deductions + optional deductions )

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

Answer:

11y is the exact value.

Step-by-step explanation:

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.