4.5x-1.5y=5.4 solve equation for y

Answer:

[tex]V'(8)=192\text{ cm}^2[/tex]

Step-by-step explanation:

We have the volume of a cylinder:

[tex]V=s^3[/tex]

To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:

[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]

Differentiate. Use the power rule:

[tex]V'(s)=3s^2[/tex]

So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:

[tex]V'(8)=3(8)^2[/tex]

Evaluate:

[tex]V'(8)=192\text{ cm}^2[/tex]

Answer: 2x+3y=12 I believe

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

Answer:

D 15 +3=15+13

Step-by-step explanation:

Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.

Given that,
From options
A. 15 = 15  B. 15 = 18 - 3  C. 15 + 3 = 11 + 7  D.15 + 3 = 15 + 13

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with number of operations according to the statements

In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal

A. 15 = 15
   LHS = RHS

B. 15 = 18 - 3
 LHS = RHS

C. 15 + 3 = 11 + 7  
       LHs = RHS

D.15 + 3 = 15 + 13
        18 ≠ 28
     LHS ≠ RHS

Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.

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Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

Answer:

98 yards

Step-by-step explanation:

First we will list our values

new w: 42

old w: 40

old l: x

new l: x+2

we are adding 2 to the new values as there is 1 yard on either side

now we will find the new area:

42 * (x+2) =4200

42x+84=4200

42x=4116

x=98

Answer:

The answer is b your welcome

Answer:

y= -x+5

Step-by-step explanation:

→first you need to identify 2 points. I'm using (5,0) and (0,5)

→second you need to find the slope using y2-y1/x2-x1 as your formula

5-0/0-5= 5/-5=-1

→then you need to use y-y1=m(x-x1) formula

y-0=-1(x-5)

(distribute the -1)

y-0= -1x+5 (+5 because a negative times a negative is a positive)

(combine like terms)

y= -1x+5

→once you solve you get y= -x+5

Answer:

-21

Step-by-step explanation:

positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.

Answer:

129

Step-by-step explanation:

+54- -75

54+75=129

When you are subtracting 54- -75, the symbols will automatically change to postives.

You could also use the method:

Keep, change, change

54          +            +75

Step-by-step explanation:

A.

[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]

Every number to the power of 0 gives us 1

[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]

B.

[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]

1 to the any power gives us 1.

[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]

Answer:

s=12.7

c=18.5

hope this helps :)

Answer:

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]

Answer:

x=6

Step-by-step explanation:

10x+21x-6=180 ( straight angle)

31x=180+6

x=186/31

x=6

im assuming that the buss only repeat the rout once? so in total they do 2 routes?

bus a at 3:50 and bus b at 4:00

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Given :

One company buys a new bulldozer for $130800.

The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.

To Find :

The value of the Bulldozer, V, as a function of how many years old it is, t.

Solution :

Let, the equation is :

V = mt + c     .....1)

For, t = 0 years

V = m(0) +c  = $130800.00

c = $130800.00

For, t = 20 years

V = 20m + c = $19800.00

Putting value of c in above equation, we get :

20m +  $130800.00 = $19800.00

m = (19800.00-130800.00 )÷20

m = -5550

Putting value of m and c in equation 1, we get :

V = -5550t + 130800

Hence, this is the required solution.

Answer:

3, -3

Step-by-step explanation:

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

Answer:

Step-by-step explanation:

(3) 9x-7=7

First multiply 3 by 9x to get 27x

27x-7=7

Then add 7 to both sides

27x-7+7=7+7

27x=14

27x/27=14/27

x=14/27

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

The answer is 400

First, you must flip the equation.

[tex]120000[/tex] ÷ [tex]300[/tex] = ?

Then, you must simplify the equation.

[tex]1200[/tex] ÷ [tex]3[/tex] = ?

Finally, divide the two terms.

[tex]1200[/tex] ÷ [tex]3[/tex] = 400

Answer:

95m

Step-by-step explanation:

So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)

(84+84+95+95=358)

The complete question is;

A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.

The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.

Write an inequality to represent the constraints in this situation.

Answer:

(25t)c - 1250 ≥ $20,000

Step-by-step explanation:

We are told the band is trying to raise at least $20,000.

It's trying to sell tickets at $25 each.

We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.

Now, expenses for each concert is $1,250.

Now, we are told that the number of tickets sold is t, and number of concerts held, c.

Thus, total amount that can be realized for "c" number of concerts is;

A = (25t)c

Now, expenses for each concert is $1,250.

Thus, total profit for "c" number of concerts is;

P = (25t)c - 1250

Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.

Thus, the profit must be greater than or equal to $20,000.

Thus, the inequality is;

(25t)c - 1250 ≥ $20,000

See attachment for math work and answer.

Kaitlin rented 3 video games and 6 dvds.

2.60 x 3 = 7.50 (dollars and cents)

3.30 x 6 = 19.80 (dollars and cents)

add them together to get the total cost in the past month.

(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)

ex: $2.60 x 3 <-- the amount of games she bought.

i hope this helps you.

Answer:

Kaitlin spent $27.60 on video games and DVDs in the past month.

Step-by-step explanation:

We know the price of one video game, one DVD, and the amount that was rented in the past month.  

To find the total cost of the video games, multiply:

$2.60 x 3

= $7.80 spent on video games in the past month

To find the total cost of the DVDs, multiply:

$3.30 x 6

= $19.80 spent on DVDs in the past month

To find the total cost, add the total cost of video games and DVDs together:

$7.80 + $19.80 = $27.60

Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.

Answer:

99%

Step-by-step explanation:

The percentage increase of the given item is 55.56%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

The price of an item has increased to $279 today yesterday it was $180

The percentage increase can be calculated by:

(Current price - Original price) / Original price x 100 = Percentage increase

As per the question, we have to substitute the values to get:

⇒ (279 - 180) / 180 x 100 = 55.56%

Therefore the percentage increase is 55.56%.

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Answer:

c

Step-by-step explanation:

Answer:

C::10:15

Step-by-step explanation:

It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.

HOPE THIS HELPS YOU OUT!

Answer:

2/3

Step-by-step explanation:

I checked on desmos.

Answer:

20 seconds

Step-by-step explanation:

s = Distance traveled by elevator = 300 ft

t = Time taken = 5 seconds

Velocity is given by

[tex]v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{300}{5}\\\Rightarrow v=60\ \text{ft/s}[/tex]

Distance to the observation level from the lobby = 1200 ft

Time taken is given by

[tex]t=\dfrac{1200}{60}\\\Rightarrow t=20\ \text{s}[/tex]

Time taken to reach the observation level from the lobby is 20 s.

Answer:

{(-4,-3), (0, -3,) (1, -3), and (4,-3)}

Step-by-step explanation:

There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.

Answer:

The second one.

Step-by-step explanation:

A function can have two of the same inputs, but not two of the same outputs.

In the first one, the output 2 is found more than once.

In the third one, the output -3, is also found more than once.

The second one has completely unique numbers for both the input and output.

Answer:

127 degrees

Step-by-step explanation: