If you can please help- I need fast answers and a full description! Describe how to transform the quantity of the fifth root of x to the seventh power, to the third power into an expression with a rational exponent. Make sure you respond with complete sentences.

Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

Answer:

D.) The x-coordinate of the center of the circle decreased by 2

Step-by-step explanation:

(consult the diagram attached below)

Consider a circle

(x - 2)² + (y - 3)² =25

Where (h, k ) = (2, 3) which is the center of the circle.

When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.

If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.

Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)

The new equation of circle will be:

(x - 0)² + (y - 3)² =25

(x )² + (y - 3)² =25

Answer: B and D

Step-by-step explanation: A p e x

The value of the quadratic equation  3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and

D. {1 + √(-47)}/6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3x² - x + 4 = 0.

We know x = {- b ± √(b² - 4ac)/2a}.

∴ x = {+ 1 ± √(1 - 48)}/6.

x = {1 ± √(-47)}/6.

x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.

learn more about quadratic equations here :

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Answer:

f(x) = x² – 3

Step-by-step explanation:

Lemme try

f(x) = √(x + 3)

y = √(x + 3)

y² = x + 3

y² – 3 = x

Cz we gonna invers that, we'ld turn x to y and y to x, so:

x² – 3 = y

Yeah, inverse of the function is y=x²–3

Answer:

Step-by-step explanation:

Answer:

Brainliest goes to me

Step-by-step explanation:

if you solved it... it would be 8.75

but you can't like 0.75 of a color so it isn't possible

0.75 is to be rounded up so I would do 9

Answer:All you have to do is multiply

Step-by-step explanation:

Answer:

81.14 Earth days.

Step-by-step explanation:

Step 1

The formula to solve this question is given as

Speed = Distance / Time

In the question, we are given the following values

Distance of the planet = 74,000,000 km

Average Speed of the planet = 38,000 km/h.

Average Speed = Distance / Time

38,000 km/h = 74,000,000 km/ Time

Cross Multiply

38,000 km/h × Time = 74,000,000 km

Divide both sides by 38,000 km/h

Time(hours) = 74,000,000 km /38,000 km/h

Time(hours) = 1947.3684211 hours

This means the circular orbit of the planet around the star takes 1947.3684211 hours.

Step 2

In the question, we were asked to find how many Earth days it takes.

Hence, it is known that

24 hours = 1 (Earth) day

1947.3684211 hours = x days

We would cross Multiply

24 hours × x days = 1947.3684211 hours.

Divide both sides by 24 hours

x days = 1947.3684211 hours ÷ 24 hours

x days = 81.140350879 Earth days.

Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =

81.14 Earth days.

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

Answer:

Interpreting as: x^2/3=x^1/3+4=6 A

Input:

x^2/3 = x^(1/3) + 4 = 6 A

Answer:

(C)x=3

Step-by-step explanation:

We want to solve for x in: [tex]\dfrac{x}{x-1} -\dfrac{1}{x-2}=\dfrac{2x-5}{x^2-3x+2}[/tex]

Take the LCM of the Left Hand Side

[tex]\dfrac{x(x-2)-1(x-1)}{(x-1)(x-2)} =\dfrac{2x-5}{x^2-3x+2}\\\dfrac{x(x-2)-1(x-1)}{x^2-3x+2} =\dfrac{2x-5}{x^2-3x+2}\\$Since we have the same denominator, then:\\x(x-2)-1(x-1)=2x-5\\x^2-2x-x+1-2x+5=0\\x^2-5x+6=0\\$Factorize\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-3)(x-2)=0\\x-3=0$ or $x-2=0\\x=3$ or x=2[/tex]

However, substituting x=2 does not satisfy the given equation as it would make it undefined.

Therefore x=3

Answer:

225 seashells

Step-by-step explanation:

4:9

100:x

Cross multiply the ratios.

4x=900

x=900/4

x=225

Answer:

March he sells 51. April he sells 107

Step-by-step explanation:

In jan he made 14 so we double that for feb and have 28.

From that 28 he takes home 5 so we are left with 23.

Then we double 28 for March to get 56 but he takes 5 home which leaves 51 to be sold and so on.

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Answer:

This is true.

Answer:

Step-by-step explanation:

Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula  

r=C  over 2π

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]

The building process is as follows:

Please find the attached file.

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5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323

Answer:

[tex]3[/tex]

Step-by-step explanation:

Write in the exponential form with a base of 3

[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]

Simplify the expression by multiplying the exponents.

[tex]2 * \frac{1}{2} = 1[/tex]

[tex]3^{1} = 3[/tex]

Answer:

Probability = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Total numbers on dice = 6

Those number which are a factor of eight = 3 (1,2,4)

Probability = [tex]\frac{No.OfPossibleOutcomes}{TotalNo. OfOutcomes}[/tex]

Probability = [tex]\frac{3}{6}[/tex]

Probability = [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

hope it helps.

all the best

Answer:

x = 5

Step-by-step explanation:

Using similar triangles theorem

In similar triangles, ratio of their corresponding sides are equal.

Let the point where a line cuts BC = D

Length (AB/BD) = length(AC/CD)

15/3x = 9/(2x-1)

Cross multiply

15(2x-1) = 9(3x)

Expand the brackets

30x -15 = 27x

Collecting like terms

30x-27x = 15

3x = 15

Divide through by 3

x= 15/3

x= 5

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³

Simplify the expression, then we have

⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³

⇒ [(a² × b⁻¹) / (a⁻² × b²)]³

⇒ [(a⁴ / b³)]³

⇒ (a¹² / b⁹)

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

More about the value of the expression link is given below.

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Answer:

D. (b^3/a4)^-3

Step-by-step explanation:

boop boop edge dge

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Answer:

Solution,

Let the number be X

60% of X=13.5

[tex] \frac{60}{100} \times x = 13.5 \\ or \: \frac{60x}{100} = 13.5 \\ or \: 60x = 1350(cross \: multiplication) \\ or \: x = \frac{1350}{60} \\ x = 22.5[/tex]

hope this helps...

Good luck on your assignment..

Answer:

22.5

Step-by-step explanation:

Answer:

(x+0)^2-24

Step-by-step explanation:

use (b/2)^2 to complete the square.

Answer:

(x+0)^2-24

Step-by-step explanation:

I took ap math XD

Answer:

C.

Step-by-step explanation:

Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.

Answer:

The answer is C) y-1=2(x-3)

Step-by-step explanation:

Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.

Answer: 2 hours

Step-by-step explanation:

The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h

Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.