Enter an equivalent fraction 2/13

Point X is located at (2, -6) and point z is located at (0,5) find the y value that is located 1/5 the distance from point x to

devlian [24]

To go from point X to point Z, the y value starts at -6 and turns into 5. So we go from y = -6 to y = 5. This is a distance of 11 units. You can count out the vertical spaces or subtract to get |-6-5| = |-11| = 11, or you can do |5-(-6)| = |5+6| = |11| = 11.

Divide this vertical distance (11) by 5, which is the same as multiplying by 1/5 = 0.2, and you get 11/5 = 11*(1/5) = 11*0.2 = 2.2

The last step is to then add that result (2.2) to the y coordinate of x so we move 1/5th of the way along the line XZ, so we'll have -6+2.2 = -3.8

Answer: Choice B) -3.8

3 0

3 years ago

9 Apply index law three to simplify each of the following. a (m2) b 6(p^)

lisabon 2012 [21]

Answer:

See the law and the hypothetical example below.

Explanation:

The index law that you are dealing with is:

$\dfrac{a^m}{a^n}=a^{m-n}$

It is used when you have the quotient of powers with the same base.

To show you how to use that rule, let's work an example

Simplify:

$\dfrac{9a(m^2)}{6b(m^4)}$

Factor 9 as 3² and 6 as 2×3:

$\dfrac{3^2a(m^2)}{2\times 3b(m^4)}$

Group the factor with equal base:

$\dfrac{a}{2b}\times \dfrac{3^2}{3}\times \dfrac{m^2}{m^4}$

Use the index law:

$\dfrac{a}{2b}\times {3^{(2-1)}}\times m^{(2-4)}\\\\\\ \dfrac{a}{2b}\times3\times m^{-2}\\\\\\\dfrac{3a}{2bm^2}$

Note that it was used an additional rule: $a^{-n}=\dfrac{1}{a^n}$

Thus, $m^{-2}=\dfrac{1}{m^2}$

6 0

3 years ago

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard

lilavasa [31]

Answer:

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

$z=\frac{x-\mu}{\sigma}$

Where, $\mu$ is mean,

$\sigma$ is standard deviation,

Given,

For method A,

$\mu = 33$

$\sigma=8$

Thus, the z score for 34 is,

$z_1=\frac{34-33}{8}=0.125$

While, for method B,

$\mu = 37$

$\sigma = 4$

Thus, the z score for 34 is,

$z_2=\frac{34-37}{4}=-0.75$ ,

Since, $z_1 > z_2$

Hence, method A is preferred if the procedure must be completed within 34 minutes.

8 0

4 years ago

three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin

andrew11 [14]

9514 1404 393

Answer:

A: 144 cm

B: 64 cm

C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

V = (1/3)πr²h

Solving for h, we get ...

3V/(πr²) = h

Filling in the given values, we get ...

3(192π)/(πr²) = h

576/r² = h

Then the heights of the different cones are ...

A: r = 2, h = 576/4 = 144 . . . cm

B: r = 3, h = 576/9 = 64 . . . cm

C: r = 4, h = 576/16 = 36 . . . cm

8 0

3 years ago

For all of the questions with method thankyou

Dmitry_Shevchenko [17]

Answer:

(i) 7/10

(ii) 3/10

(iii) 1/5

(iv) Rs 40,000

Step-by-step explanation:

The fraction of the salary spent on food = 1/2

The fraction of the salary spent on rented house fee = 1/5

(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10

(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10

The fraction of the remainder spent for children's education = 1/3

The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10

(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5

(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000

Let x represent his whole salary, we have;

(1/5) × x = Rs 8,000

x = 5 × Rs 8,000 = Rs 40,000

His whole salary is Rs 40,000.

3 0

3 years ago

Enter an equivalent fraction 2/13​

Enter an equivalent fraction 2/13