What's the answer ????

Evaluate the expression 4x^4 y^3 when x=1/5 and y=6

wariber [46]

Answer:

5.5296

Step-by-step explanation:

to evaluate the expression 4x^4 y^3 we would substitute the value of x and y into it and evaluate. since x = 1/5 and y = 6

4x^4 y^3

4 × x^4 × 4× y³

4 × (1/5)∧4 × 4 × 6³

4× (0.2)∧4 × 4 × 216

4 × 0.0016 × 864

0.0064 × 864

5.5296

5 0

3 years ago

Order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2

FinnZ [79.3K]

Answer:

-20 3/4, -15 1/2, -14 3/4,

Step-by-step explanation:

8 0

3 years ago

8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

first ball picked is 5, the others are not
first ball is not 5, second is 5, third is not
first and second ball is not five, third ball is 5

Each probabilities are:

$\frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}$

Thus, one of the balls selected is the number 5 is then $\frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}$

5 0

3 years ago

The lengths of the sides of the triangle are 13cm, 14 cm, and 15 cm. Is the triangle a right triangle?

Helga [31]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

If the triangle was a right triangle, then the Pythagorean Theorem states that a^2 + b^2 = c^2. Let's test it on this triangle:

13^2 + 14^2 = 365, or c^2. If this is a right triangle, c should equal 15.

However, sqrt(365) = 19.1, which is not 15. So, the triangle is not a right triangle.

4 0

3 years ago

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom

bagirrra123 [75]

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

$y =mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500$

So, the equation is:

$y =-500x+c$

Putting x = 20, y = 5000:

$5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000$

$\Rightarrow \bold{y =-500x+15000}$

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

$-500 \times 18 +15000 = -9000+15000 = 6000$ so, it is true.

So, the answer is:

The best fit is A. Linear model

6 0

4 years ago