Round 0.1347 to the nearest tenth.

Part A

The equation is g = -2.5m + 20

The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.

The smallest m can be is m = 0

Let's plug in g = 0 and solve for m to find the largest possible m value

g = -2.5m + 20

-2.5m + 20 = g

-2.5m + 20 = 0

-2.5m = -20

m = (-20)/(-2.5)

m = 8

At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.

This means m is between 0 and 8, including both endpoints.

The domain is [tex]0 \le m \le 8[/tex]

The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5

No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.

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Answers:

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Part C

See the graph below. The table is included as well.

To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.

Let's say we picked m = 2

That would mean,

g = -2.5m + 20

g = -2.5*2 + 20

g = -5 + 20

g = 15

So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.

Once the table is set up, you plot all of the points and draw a line through them to complete the graph.

Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.

Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.

Answer:

[tex]x=\frac{n}{p}m[/tex]

Step-by-step explanation:

Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.

Doing that, we get

[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]

Answer:

[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]

Rs. 250000 was the price of the refrigerator.

Let x represent the price of the refrigerator.

Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:

Total Money paid = 100% - 60% = 40% of purchased price

40000 + 60000 = 40% of x

100000 = 0.4x

x = Rs. 250000

Hence, Rs. 250000 was the price of the refrigerator.

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Answer:

The equation is:

y = 5/4x + 25/2

Step-by-step explanation:

Answer:

:P

Step-by-step explanation:

:P

Answer:

confirm is the correct answer

Plz mark as Brainliest

Answer:

The answer would be 7 I hope this helps! : )

Answer:

it's 2

Step-by-step explanation:

if we solve 3×2×1/3

then we will get 2 .

Answer: 31 1/2

I hope this helps I would appreciate brainliest if possible :)

Answer:

5hj

m5Step-by-step explanation:

Answer:

huh rewrite the question

Answer:

1.501877347

Step-by-step explanation:

estamate or whaever u need to do

Answer:

The number is 20

Step-by-step explanation:

x represents the missing number

The equation would be:

[tex]\frac{x-5}{6} =-4[/tex]

Then isolate the variable and solve,

First multiply both sides by 6...

[tex]x-5=-25[/tex]

Add 5 to both sides.

x=20

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

Using the profit concept, it is found that the break-even point is of 61.6 units.

In this problem:

[tex]C(x) = 217x + 5420[/tex]

Selling price per unit of $305, thus, the revenue equation is given by:

[tex]R(x) = 305x[/tex]

The break-even point is the value of x for which:

[tex]R(x) = C(x)[/tex]

Then

[tex]305x = 217x + 5420[/tex]

[tex]88x = 5420[/tex]

[tex]x = \frac{5420}{88}[/tex]

[tex]x = 61.6[/tex]

The break-even point is of 61.6 units.

A similar problem is given at https://brainly.com/question/4001746

Answer:

27

Step-by-step explanation:

start with {5*(13-8)+12/6}

simplify to get:

(5*5)+12/6

simplify to get:

25+12/6

simplify to get:

25+2

simplify to get your answer:

27

Answer:

391 × 5 = 1955

621 × 3 = 1863

481 × 7 = 3367

531 × 6 = 3186

981 × 2 = 1962

761 × 9 = 6849

581 × 8 = 4648

431 × 3 = 1293

271 × 4 = 1084

821 × 4 = 3284

Answer:

7.81

Step-by-step explanation:

Step-by-step explanation:

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Now, substitute the numbers into the equation,

[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]

distance = 7.81

brianlist me??

a) The value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) The rate of change of the angle with respect to x is -0.000308rad/m

Find the complete question and diagram attached

Form the right-angled triangle shown:

Adjacent side = x

Opposite side = 250m

angle of elevation  = [tex]\theta[/tex]

Using the SOH CAH TOA identity

[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]

Hence the value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) If x = 450m

[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]

Differentiate both sides with respect to "x"

[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]

Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:

[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]

Hence the rate of change of the angle with respect to x is -0.000308rad/m

Learn more here: https://brainly.com/question/15580615

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

4 - 12, solve the subtraction

-8

Answer:

17 units

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

125x37=4625

Answer:

15 cups of orange juice

Step-by-step explanation:

Let u be 1 unit.

5u = 25 cups

u = 25÷5

= 5

3u = 5×3

= 15

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

it's in the attachment hope it helps you

Step-by-step explanation:

subtrack the 4 inbetween the inequalities to both sides.

6/4=1.5=14*1.5=21

21 minutes

Answer:

See explanation below:

see attached file below