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Ray Of Light [21]
3 years ago
9

Please help me if you can

Mathematics
2 answers:
Hunter-Best [27]3 years ago
8 0

Answer:

.

Step-by-step explanation:


MA_775_DIABLO [31]3 years ago
3 0

Answer:

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Step-by-step explanation:

We have a point a (0,20) and a point at (2 , 20.05)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (20.05-20)/(2-0)

   = .05/2

     =.025

One of the points (0,20) is the y intercept  since x=0

We can use the slope intercept form of the equation

y= mx+b

y = .025x +20


The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

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Find the sum of the arithmetic sequence. 5,7,9,11,...,23
eduard

Answer:

140

Step-by-step explanation:

The arithmetic series is 5, 7, 9, 11, ........., 23.

First u have to determine the no. of terms that can be done by using

Tₙ = [a + (n - 1)d]

Tₙ-------nth term

a---------first term

n---------no.of terms in the series

d---------common difference

here a = 5,d = 2.

let it contain n terms Tₙ= [a + (n-1)d]

Substitute Tₙ, a, and d in the equation

23 = 5 + (n - 1)2

Subtract 5 from each side.

18 = (n-1)2

Divide each side by 2

(n - 1) = 9

Add 1 to each side

n = 9 + 1 = 10

The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]

Substitute Sₙ, a, n and d in the equation

Sₙ= (10/2)[2(5) + (10-1)2]

Sₙ= (5)[10 + (9)2]

Sₙ= 5[10 + 18]

Sₙ= 5[28] = 140

Therefore the sum of the arithmetic sequence is 140.

6 0
3 years ago
How can I make these a single fraction?
Serga [27]

in the like term you can add directly and make it single fraction and in unlike term you have to take LCM of denominator .

6 0
3 years ago
How can you determine which variable is dependent and which variable is independent
padilas [110]

MrBillDoesMath!

Answer:  The dependent variable depends on another variable for its value. For example, if  y = 2x,  setting x = 1 forces y= 2.; setting x = 10, forces y =20.  There are no other possibilities for y once x ids chosen. So y is the dependent variable and x is the independent one. You can pick values for the independent variable (x) but no so for the dependent one.

MrB

8 0
3 years ago
Read 2 more answers
A chef plans to mix 100% vinegar with Italian Dressing. The Italian dressing contains 8% vinegar. The chef wants to make 60 mill
GenaCL600 [577]

Answer:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v  + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 m

5 0
2 years ago
6.
Rudik [331]

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0
2 years ago
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