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3 years ago

19-4c=17 what does c equal

Mathematics

2 answers:

likoan [24]3 years ago

8 0

Answer:

c= -9

Step-by-step explanation:

19-4c=17

+19 +19

-4c= 36

divide by -4

c= -9

Arturiano [62]3 years ago

8 0

Answer:

Exact Form:

c=1/2

Decimal Form:

c=0.5

Step-by-step explanation:

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Solve for x<br> 6x+ 76x = 5x - 1

Xelga [282]

Answer:

Step-by-step explanation:

6x+76x=5x-1

82x=5x-1

82x-5×=-1

77x=-1

X=-1/-77

X=1/77

4 0

3 years ago

30 points plus brainliest if you get it right with step by step explanation.

Leto [7]

Answer:

a. 150

b. y=150x+1200

Step-by-step explanation:

a. 1350-1200=150

b. if he opened it in 2005 he started his tutoring fee at 1200 that makes 1200 the y intercept

8 0

3 years ago

10. Read the question carefully and type your answer in the space below. *

Korolek [52]

Answer:

Greatest = 98,321

Least= 12,389

98,321>12,389

Step-by-step explanation:

there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.

To get the smallest number, the digits with the least value should be put in front.

The greater valued number is greater than the least valued number

5 0

3 years ago

The total surface area of a closed cylinder is

Degger [83]

The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

<h3>How do you find the maximum volume of the cylinder?</h3>

The formula for the volume of the cylinder v = $\pi$ $r^{2}$ h, To find the maximum volume of the cylinder we apply the condition of maxima $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = $2\pi r(r+h)$

$5000$ = $2\pi r^{2} +2\pi rh$

$h$ = $\frac{5000-2\pi r^{2} }{2\pi rh}$ .............(1)

Volume of the cylinder v = $\pi r^{2} h$

Substitute the value of $h$ in the above equation

$\Rightarrow$ = $\pi r^{2}$ × $\left [ \frac{5000-2\pi r^{2}}{2\pi r} \right ]$

$\Rightarrow$ = $\frac{r}{2}$ × $(5000-2\pi r^{2} )$

$\Rightarrow$ v = $2500r-\pi r^{3}$ ..............(2)

Now, for the maximum volume of the cylinder $\frac{\mathrm{d} v}{\mathrm{d} r}$ = 0

$\Rightarrow$ $\frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0$

$\Rightarrow$ $3\pi r^{2} = 2500$

$\Rightarrow$ $r^{2} = \frac{2500}{3\pi }$

$\Rightarrow$ $r = \frac{50}{\sqrt{3\pi } }$

Volume is maximum for $r = \frac{50}{\sqrt{3\pi } }$

Then, v = $2500r-\pi r^{3}$

$\Rightarrow$ = $2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }$

$\Rightarrow$ = $\frac{125000}{\sqrt{3\pi } }$ × $\frac{2}{3}$

$\Rightarrow$ = $\frac{250000}{3\sqrt{3\pi } }$

$\Rightarrow$ v = 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point $r = \frac{50}{\sqrt{3} }$ .

To learn more about total surface area and volume of the cylinder from the given link

brainly.com/question/16095729

#SPJ4

3 0

2 years ago

Given the trinomial 3x^2 − 6x 5, what is the value of the discriminant? -66 -24 8 96

lbvjy [14]

3x^2-6x+5

for ax^2+bx+c=0
discriminant is b^2-4ac
when
1. b^2-4ac>0, there are 2 real roots
2. b^2-4ac=0, there is 1 real root
3. b^2-4ac<0, there are 2 complex roots

3x^2-6x+5
a=3
b=-6
c=5
(-6)^2-4(3)(5)
36-60
-24

answer is -24 is the discriminant

8 0

3 years ago