Answer this correct and I will give you extra points.

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

https://brainly.com/question/8959311

Answer:

  r = 1/π

Step-by-step explanation:

The area of a circle is given by ...

  A = πr²

The rate of change of area is ...

  A' = 2πr·r'

We want that rate of change to be twice as fast as the rate of change of radius:

  2r' = 2πr·r'

  1 = πr . . . . . . divide by 2r'

  1/π = r

When the area is changing twice as fast as the radius, the radius is 1/π.

_____

Additional comment

The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².

Answer:

8

Step-by-step explanation:

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.

The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

[tex]205 = \frac{h}{2}(20 + 21)[/tex]

[tex]20.5h = 205[/tex]

[tex]h = \frac{205}{20.5}[/tex]

[tex]h = 10[/tex]

The height is of 10 cm.

To learn more about area of a trapezoid, https://brainly.com/question/9918120

Answer:

The height of trapezoid is 10 cm.

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]

Solution :

Substituting all the given values in the formula to find height of trapezoid :

[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]

Hence, the height of trapezoid is 10 cm.

[tex]\rule{300}{1.5}[/tex]

Answer:

Triangle Area = (1/2) * base * height

base = 2 * Area / height

base = (2 * 162) / 18

base = 324 / 18

base = 18 meters

Step-by-step explanation:

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Adam receives 13.762 euros

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Given

Adam normally earns 8.32 an hour.

1. 832 * 6 = 10.992 for 6 hours

Adam will be payed = 8.32 *1/3 = 2.77

Total payment = 10.992 + 2.77 = 13.762

To learn more about division refer to:

https://brainly.com/question/12085148

#SPJ2

Answer:

help you with what

Step-by-step explanation:

Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

Answer:

Y = 10x + 20

Step-by-step explanation:

sorry if im wrong

Answer:

y = 2x - 4

Step-by-step explanation:

10x - 5y = 20

Subtract 10x both sides

-5y = 20 + (-10x)

Divide by -5

y = -4 + 2x

y = 2x + (-4)

Answer: 11/24

Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.

There are 5 friends and him so that's 6 people.

So we can't do 11/4 divided by 6 so we must put 6 over 1.

So 11/4 divided by 6/1

Then we do "Keep Change Flip"

We keep 11/4

We change the division sign to multiplication

Then we flip 6/1 to 1/6

Then the problem is re wrote as:

11/4 times 1/6

And that equals 11/24 as your answer

So each person gets 11/24 of the pies.

Answer:

Answer is a

Step-by-step explanation:

I think it's "A", im looking for answer as well :(

Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.

Answer:

V≈1.44×106

Step-by-step explanation:

hope this helps

Let the number of questions on the test equal X which would be 100%

They answered 86 which equaled 98

Set up a ratio:

X/86 = 100/98

Cross multiply:

98X = 8600

Divide both sides by 98:

X = 87.75

Round to 87 questions

Answer:

  (a) P = 3000·1.15^t

  (b) 12,137

Step-by-step explanation:

The equation gets filled in so it looks like ...

  P = (initial amount) × (1 +growth rate)^t

where t is in units compatible with the growth rate.

  P = 3000·1.15^t

__

Midnight is 10 hours later than 2 p.m., so the quantity will be ...

  P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137

There will be 12,137 bacteria at midnight.

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

Answer:

4500 inches, check image below

Step-by-step explanation:

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]

[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]

[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]

[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]

[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

I don't know

Step-by-step explanation:

please mark me as the brainlist

Answer: 378.7 kilometers (maybe, I am not sure)

Mercury: 4.9 * 103 = 504.7 kilometers

Saturn: 1.2 * 105 = 126 kilometers.

Why on earth is Mercury's diameter greater than Saturn's -

504.7 - 126 = 378.7 kilometers

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

.

In our example, the resulting expression will consist of 2 terms:

  the first term is a product of  and .

  the second term is a product of  and .

Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

Step-by-step explanation:

THE ANSWER IS A.  80 + 20 + (-17)

Let's se

Done!

SANA MAKATULONG

#CARRYONLEARNING