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4 years ago

What is the cube root of 27x18? 3x6 3x9 9x6 9x9

Mathematics

2 answers:

Citrus2011 [14]4 years ago

8 0

Answer:

3x6 would be your answer

Step-by-step explanation:

vredina [299]4 years ago

3 0

Solution:

A is the correct option.

Explanation:

We have to find the cube root of $27x^{18}$

In order to find the cube root of the expression, we find the factors of 27.

$27= 3 \times 3\times 3= 3^3$

Also x^18 can be written as

$x^{18}=(x^6)^3$

Replace the given expression with these values, we get

$\sqrt[3]{27x^{18}} =\sqrt[3]{3^3 \cdot (x^6)^3 }$

Now, we have the formula,

$\sqrt[n]{x^n} =x$

Using this formula, the cube with the cube root got cancelled and we are left with

$\sqrt[3]{27x^{18}} = 3\cdot x^6$

Therefore, the cube root of 27x^18 is 3x^6.

A is the correct option.

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A chain lying on the ground is 10 m long and its mass is 70 kg. How much work (in J) is required to raise one end of the chain t

DerKrebs [107]

Answer:

$W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J$

Step-by-step explanation:

Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.

For this case we can use the following formula:

$W = \int_{x_i}^{x_f} F(x) dx$

For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:

$F(x) = \frac{ma}{10m}= \frac{mg}{10m} x$

The only acceleration on this case is the gravity and if we replace the values given we got:

$\frac{70 kg *9.8 m/s^2}{10m} x=68.6 x\frac{kg}{s^2}$

Now we can find the required work with the following integral:

$W= 68.6 \frac{kg}{s^2} \int_{0}^4 x dx$

$W= 34.3 \frac{kg}{s^2} x^2 \Big|_0^4$

$W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J$

7 0

4 years ago

At a school, the ratio of boys to girls to teachers is 15:12:3. Find the number of boys in the school. Find the number of girls

Sonbull [250]

Answer:

15:12:3= 15 boys 12 girls and 3 teachers

Step-by-step explanation:

There are 5 boys in the School and 4 girls in the School and 1 teachers in the School

Because you got to try to look for a number that you can divide by all three numbers. And that number is 3. Because if you do 15 ÷ 3 =5, 12÷3=4, 3÷3=1

5 0

4 years ago

Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay

abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=6.5\%=\frac{6.5}{100}=0.065$

$t=\text{141 days}=\frac{141}{365}\text{ year}$

$A=\$78001+0.065\times \frac{141}{365})$

$A=\$7800(1+0.065\times 0.38630136986)$

$A=\$7800(1+0.025109589041)$

$A=\$7800(1.025109589041)$

$A=\$7995.85479$

$A\approx \$7995.85$

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0

4 years ago

XY and BD are parallel lines.

tia_tia [17]

Answer:

a) Angle XBC = 55° because corresponding angles are equal.

b) Angle BXC = 70°

Step-by-step explanation:

The image of the complete question is attached to this solution.

a) Angle XBC = 55° because....

Line XY and BD are parallel.

A straight line, AB, crosses the two parallel lines, thereby making angles AXY and XBC corresponding angles because they occupy the same relative position at points where the straight line, AB, intersects the two lines XY and BD.

Since the two lines, XY and BD, are parallel, the corresponding angles related to them are said to be equal.

b) Angle BXC

Since we have found and confirmed that angle XBC is truly 55°.

Triangle BXC is an isosceles triangle, with sides BX and XC equal, the base angles XBC and BCX are both equal.

Angle XBC = Angle BCX = 55° (base angles of an isosceles triangle are equal)

Then, the sum of angles in a triangle = 180°

Hence,

(Angle XBC) + (Angle BCX) + (Angle BXC) = 180° (sum of angles in a triangle)

55° + 55° + Angle BXC = 180°

Angle BXC = 180° - 110° = 70°

Hope this Helps!!!

3 0

4 years ago

Plz help me ASAP!!!! No files plzzzzzz. PLZZ and THX!

RSB [31]

Answer:

y = 1x - 5

Step-by-step explanation:

We will use the slope equation for this: y = mx + b

y is our output/answer

m is our slope, or the rate of change

x is our x coordinate. For example, in (3,2) x would be 3.

b is our y intercept, or where the line passes through the y axis.

Knowing this, we can fill out the blanks.

when we look at one point on the grid, and then find the next closest number from the point we chose, we can see that the slope is 1 so we now have: y = 1x + b

to find b, we find where the line passes over the y axis which on our grid is -5. Normally we would write: y = 1x + 5 Since we have a negative 5 or -5, we will change the + to a -

This means we write y = 1x -5.

I hope this helps you and have a great day :D

5 0

3 years ago