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Find the distance between the points. (9.7, -2.1), (-3.2, 8.1)

seropon [69]

The answer you are going to be looking for with this question is 16.4. Hope this helps you out a little :)

4 0

3 years ago

The following graph shows the relationship between cost and revenue for a manufacturer of lab coats.

nataly862011 [7]

Answer:

Option a.

I and III

Step-by-step explanation:

Observing the graph

For n=400 coats

The cost is about $2,200

and

The revenue is less than $1,400

Substitute the value of n=400 in each equation to find the solution

I Cost 1.5(400)+1,600=$2,200 ----> is ok

II Cost 4.5(400)+1,600=$3,400 ----> is not ok ( is greater than $2,200)

III Revenue 3.25(400)=$1,300 ----> is ok ( is less than $1,400)

IV Revenue 5.75(400)=$2,300 ----> is not ok ( is greater than $1,400)

therefore

The solution is I and III

6 0

3 years ago

Read 2 more answers

Please i need to know if im correct with these questions

telo118 [61]

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

6 0

2 years ago

how to rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

rodikova [14]

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

Learn more about vector here

brainly.com/question/25811261

#SPJ4

8 0

1 year ago

I need all these before the morning!! For 20 points

Marta_Voda [28]

Answer:

15) Option B. 3

16) Option H. 144

17) Option B. -21

18) Option H. a^4 + 2

19) Option E. -18

20) Option G. 60

Step-by-step explanation:

15) 217/4 = 54 with a remainder of 1

217 = 4 ⋅ 54 + 1

So, the 217th digit after the decimal point of 0.3456 is one of the 4n+1st digits (with n=54) and must be 3.

16) a = 1/2, p = 1/16 * 48^2

= 144cm^2

17) when you solve the equation x^2 + 4x - 21 = 0 you get two solutions.

one is x = 3 and the second one is x = -7. The question is asking for the product so you will multiply these two x values. 3 * -7 = -21.

18) the factors of a^16 - 16 are: (a^8 + 4) (a^4 + 2) (a^4 -2)

Out of these factors that we get, (a^4 + 2) is the only polynomials listed in the answer choices.

19) 2n - 5 / n when n = 1/4

= 2(1/4) - 5 / 1/4

= -18

20) The machine is reading 40 pages in 1 hour, how many will it read in 90 minutes?

So, there are 60 minutes in an hour and the machine is reading 40 pages in 60 minutes. Meaning it is reading 20 pages in half an hour. So 20 + 20 = 40, so we are correct, the machine is indeed reading 20 pages in 30 mins. 90-60 mins = 30 mins.

How many pages is it reading in 30 mins? 20 right. So 40 + 20 = 60

The machine will read 60 pages in 90 mins.

5 0

2 years ago

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