Rewrite the radical as a rational exponent. the cube root of 2 to the seventh power

Answers

Answer 1
Answer: In converting the radical expression of a rational exponent of a rational number. First is to rewrite its form into fractional exponent and giving the answer of 2 to the power 7  over 3 and i hope this could add the knowledge of your learning, have a nice day.
Answer 2
Answer:

Answer:

2^{(7)/(3)}


Step-by-step explanation:

The formula to change a radical to rational (fractional) exponent is given below:

\sqrt[n]{a^(m)} =a^{(m)/(n)}

It means that the denominator of the fraction (in the rational exponent) goes OUTSIDE the root sign and the numerator goes as power to the number.


Using this, we can write \sqrt[3]{2^(7)}  as  2^{(7)/(3)}

Thus the rational exponent from is given by  2^{(7)/(3)}


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If f(x) varies directly with x and f(x) = 2 when x = 10, then what is the value of f(x) when x = 40?a.8b.45c.200d.320

When 5 is added to 2 times a number the result is 45

Answers

I'm going to assume that you want us to figure out what the number is for you.

You said:  2x + 5 = 45

Subtract 5 from each side:

2x = 40

Divide each side by 2 :

x = 20
the answer is 20 which I calculated from the equation of 2x+5=45

Hi.i need help with this question.

Workings Please.

1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.​

Answers

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

C=2\pi r\bigg((\theta)/(360^o)\bigg)\n\n\nC=2\pi(10)\bigg((210^o)/(360^o)\bigg)\n\n\nC=(35)/(3)\pi

The circumference of the the cone is (35)/(3)\pi .  We can use this to find the radius .

C=2\pi r\n\n(35)/(3)\pi=2\pi r\n\n\n(35\pi)/(3\cdot 2\pi)=r\n\n\n(35)/(6)=r\n\n\n5.83=r

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

(35)/(6)^2\  +\ h^2=10^2\n\n\n.\qquad \quad h^2=10^2-\bigg((35)/(6)\bigg)^2\n\n.\qquad \quad h=\sqrt{(6^2(10)^2-35^2)/(6^2)}\n\n\n.\qquad \quad h=\sqrt{(2375)/(36)}\n\n\n.\qquad \quad h=8.12

David typed 210 words in 30 minutes. What is her rate of typing?

Answers

210 words ... 30 minutes
x words ... 1 minute

If you would like to know how many words can David type in 1 minute, you can calculate this using the following steps:

x * 30 = 210 * 1      /30
x = 210 / 30
x = 7 words

Result: David can type 7 words in 1 minute.

If line segment is 100 feet, and line segment is 80 feet, what is the length of line segment ?

Answers

which, in theory, would be the third side of the triangle formed by these three lines, would be 60 feet.


I really need help, I hope you can help me out please

Answers

Answer:

no

Step-by-step explanation:

they are not similar -

the triangles angles are not congruent which then means that by AA criterion the triangles are not similar.

hope this helps!!

Answer:

Yes they are similar as the obtuse angle of 120 degree is the same and 2 other angles are acute and this example shows 4 degree range in difference. This would change the measure 0.4 only each side.

Similar is different to same, the exact meaning of similar is resemblance, the exact meaning is having a resemblance in appearance, character, or quantity, without being identical.

Step-by-step explanation:

Were these answers right? It not explain why please xx it's meant to be in12 hour clock

Answers

The answers are both correct, but perhaps incomplete.

I see 'X's marked next to the two answers.  If those mean that
your answers were marked 'wrong', then I think the problem is this:

-- The top one should have been "10:00 AM".

-- The bottom one should have been "10:39 PM".