perfume is sold in two diffrent sizes of bottle.

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

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

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

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

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another

Answer:x^2 -1

x square minus one

Step-by-step explanation:

Answer:

5 calories is the answer.

Step-by-step explanation:

All you have to do is 200 divided by 40, which results in 5.

You do this because you want to see the ratio between minutes and calories, so 1 minute would result in 5 calories burnt,.

#teamtrees #WAP (Water And Plant)

x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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Answer:

6.99$

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

234.25$ : 100 = 252.99$ : x

234.25x = 252.99 x 100

234.25x = 25299

25299 divided by 234.25 is 108

so answer 8%

Answer:

18 : 30

Step-by-step explanation:

3 + 5 = 8 (Total units)

48 ÷ 8 = 6

3 units = 6 x 3 = 18

5 units = 6 x 5 = 30

So it's 18 : 30

Answer:

Answer:

9 years po sana po makatulong

Step-by-step explanation:

sana po makatulong 9 years

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

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Answer:

[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]

Answer:

y=mx+b

Step-by-step explanation:

Answer:

Answer: y=mx+b

Step-by-step explanation:

:) Hope this helps!!

Answer:

-3 ≤ x < 2

Step-by-step explanation:

Answer:

66 inches

Step-by-step explanation:

v² = 55² + 26² - 2(55)(26) · cos 103°

v² = 3025 + 676 - [2860 · cos 103°]

v² = 3701 - (-643.4)

v² = 4344.4

v = [tex]\sqrt{4344.4}[/tex] ≈ 66

Answer:

Zone II

Step-by-step explanation:

k ∈ A ∩ B means k is an element of both A and B.

zone II is in between zone I and zone III which is both.

The most specific location of k on the Venn Diagram is II.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Given is a Venn Diagram.

U represents the Universal set.

There are 2 sets, set A and set B, which are represented by 2 circles.

I represents the location of elements which are in A alone.

II represents the location of elements which are in B alone.

If an element belongs to A ∩ B, then the element contains both in A and B.

This is the location marked as II.

Hence the location of k will be in II.

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The venn diagram related to the question is given below.

Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

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Answer:

Step-by-step explanation:

if we have a rectangle with W=90 and L=120, and we need to find the diagonal

we will have a right triangle with the legs 90,120

diagonal is the hypothenuse

c^2=90^2+120^2=8100+14400=22500

c=sqrt22500=150

the diagonal, c=150

Answer: A.) B

Step-by-step explanation: i hope this helps you out!

Answer:

x = 18

Step-by-step explanation:

6x + 4x = 180

combine like terms

10x = 180

divide both sides of the equation by 10

10x/10 = 180/10

x = 180/10

x = 18

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

                               ---------------------------

                  x + 7   √ x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

                              -----------------------------

                                                 -2x - 6

                                               - (-2x - 14)

                               -----------------------------------

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Answer:

???

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

Answer:

Step-by-step explanation:

2/10: 0.2

19/20: 0.95

19/6: 3.1667

17/4: 4.25

7/4: 1.75

9/20: 0.45

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

Answer:

the slope is -3 and the y intercept is 12