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3 years ago

Which of the following is a solution of x-6<6 AND x+4>-1

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

Answer:

x-6<6

x<6+6

x=12

x+4>-1

x>-1-4

x>-5

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The equation of state of a certain gas is given by p = rt/vm + (a + bt)/vm2, where a and b are constants. find (∂v/∂t)p.

kotegsom [21]

Given:
$p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m} + \frac{a+bT}{m^{2}}]$

Answer:
When p is held constant,
$\frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}]$

5 0

3 years ago

A mouse can travel 1.5 miles a day. write an equation showing how far it travles

Vika [28.1K]

Let t = the number of days the mouse travels
Let D = the distance that the mouse traveled
The mouse travels at a rate of 1.5 miles per day, so R = 1.5 mi/day

The equation is:
Distance (D) = Rate (R) x Time (t)

SO:
Distance (D) = 1.5 mi./day X Time (t)

4 0

3 years ago

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.

meriva

Answer:

5.74

Step-by-step explanation:

fx=5(x+4)-6

f(19)=5(19+4)-6

19f=5(23)-6

19f=115-6

19f=109

f=109÷19

f=5.74 or 19 14/19

7 0

3 years ago

(7)(8)(9) Geometry Check Ans 7) s = 15 8) y = 64 x = 99 9) 96

Katyanochek1 [597]

Problem 7: Correct
Problem 8: Correct
Problem 9: Correct

The steps are below if you are curious

===========================================================================================

Problem 7

S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15

I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.

===========================================================================================

Problem 8

First find y
y+116 = 180
y+116-116 = 180-116
y = 64

which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x

x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99

===========================================================================================

Problem 9

With any polygon, the sum of the exterior angles is always 360 degrees

The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96

6 0

3 years ago

cho phương trình 2x^2-5x-9 có hai nghiệm là x1,x2. không giải phương trình, hãy tính giá trị của biểu thức A= x1^2+x2^2-2x1x2^2

irga5000 [103]

Step-by-step explanation:

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https://youtu.be/f_kgUUaMZlw

8 0

3 years ago