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3 years ago

Explain why the slope of line a is 2/6

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

Answer:

Step-by-step explanation:

Hi so 2/3

where slope means rise over run

so it means the first point or you slope(x1 y1)

and you take that point, go up 2 on Y, and move 6 unit to the left(x)

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Which of these is equal to the value of 9 – (–5)?

DerKrebs [107]

14.

Subtracting a negative number is like adding a positive number. So, you can change 9 - (-5) into 9 + 5, which is much simpler. Then, just add to get 14.

Please consider marking this answer as Brainliest to help me advance.

3 0

3 years ago

Read 2 more answers

A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut

serg [7]

Answer:

(B) $\dfrac{dA}{dt}=8-0.004A$

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

$=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}$

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

$=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}$

Therefore:

The rate of change of amount of salt in the tank,

$\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A$

5 0

4 years ago

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. describe the possible lengths o

blagie [28]

The possible lengths of the garden would be all of the common factors of 1200.
1 , 1200
2 , 600
3 , 400
4 , 300
5 , 240
6 , 200
7 , 171.43
8 , 150
9 , 133.33
10 . 120
11 . 109.09
12. 100
13. 92.31
14. 85.71
15. 80
16. 75
17. 70.59
18. 66.67
19. 63.15
20. 60
And so on. (all of the above are in pairs)

5 0

3 years ago

Read 2 more answers

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

2z -5(z +2) = -8 - 2z<br><br> Please explain!! Thank you

Korolek [52]

Follow PEMDAS.

You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.

so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.

Now you have the equation 2z-5z-18=-2z

Now combine like terms. 2z-5z= -3z

Now you have the equation -3z-18=-2z

Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z

Now you have -18= 1z

Now you divide. -18 divided by 1 is -18.

So your final answer will be -18=z

7 0

3 years ago

Explain why the slope of line a is 2/6​

Explain why the slope of line a is 2/6