Correctly write 36.2 x 103 in scientific notation.

What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2

allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

$\frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} }$

so as you got it:

$\frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5$

4 0

2 years ago

Six yards of rope costs $5.50 while four yards costs $4.75

Amiraneli [1.4K]

The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

Step-by-step explanation:

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

$\frac{5.50 \text { dollar}}{6 \text { yard }}=0.9167\ dollar/yard$

Choice 2:

Four yards costs $ 4.75

$\frac{4.75 \text { dollar}}{4 \text { yard }}=1.1875\ dollar/yard$

Thus, the best choice is the first one. Because it is the lowest unit cost.

3 0

3 years ago

Question 5

Darina [25.2K]

Answer:

the answer is 12.24 .

Step-by-step explanation:

that answer is right is because when you add of those you get 530 , then you divide by how many numbers there are which is 7 , which equals to 75.7 . when you get that number ( 75.7) you subtract that number to 65,90,85,70,70,95, and 55 . when you get the total of all of those you add those . which is 10.7, 14.3 , 9.3 , 5.7 , 5.7 , 19.3 , and 20.7 . from adding those you get 85.7. you divide by 7 and get 12.24 . hope this helps :) .

8 0

2 years ago

Evaluate 5x10 -6²+5 A:9 B:19 C:43 D:85

lord [1]

The answer is your second number
B : 19

6 0

3 years ago

This is confusion please help

oksano4ka [1.4K]

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is always true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 is our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, $\sqrt{125} = \sqrt{5*25}$

and

$\sqrt{5*25}=\sqrt{5}*\sqrt{25}$

we can take out the square root of 25 (5):

$=\sqrt{5}*5$

we write this as such: $5\sqrt{5}$

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

4 0

1 year ago