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The initial amount of the water is 15 gallons

These are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;

y - 12 = -3(x- 1)

y -12 = -3x + 3

y = -3x +3 + 12

y = -3x + 15

In order to determine the initial amount of water, we will substitute x =0 into the function

y = -3(0) + 15

y = 15

Hence the initial amount of the water is 15 gallons

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Answer:

15

Step-by-step explanation:

Step-by-step explanation:

area of a rectangle is

length × width

so, in our case

2 2/5 km² = 1 2/5 × width (or length, it does not matter)

12/5 km² = 7/5 × width

width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km

Answer:

Karen expects the vehicle to depreciate by 600 each year.

Step-by-step explanation:

Given:

- initial value: 4400

- salvage value: 800

- another six years

It is expected to depreciate from 4400 to 800 in 6 years.

The depreciation per year is the ratio

depreciation per year = (total depreciation) / (number of years)

Total depreciation is the change in value, so the depreciation per year is

 (4400 - 800)/6 = 600

The total price of new pair of pants including tax will be $ 51.94.

Everything is stated as if it was a fraction of a hundred in quantity.

Tyshawn went shopping for a new pair of pants.

Sales tax where he lives is 6%.

The price of the pair of pants is $49.

Then the total price of new pair of pants including tax will be

Total cost = 49 x (1 + 0.06)

Total cost = 49 x 1.06

Total cost = $ 51.94

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Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \

\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \

[/tex]

Answer:4.6

Step-by-step explanation:

Use the pythagorean theorem, then find the square root using your calculator.

Answer:

See below ~

Step-by-step explanation:

The number of people attended dinner is 102.

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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Answer:

EG=

[tex] \frac{28 }{ \sqrt{3} } [/tex]

EF=

[tex] \frac{56}{ \sqrt{3} } [/tex]

Step-by-step explanation:

You have to memories Trigonometric ratios of 60

Answer:

  a.  $19,224.92

Step-by-step explanation:

The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.

__

  cost for base car = 0.83 × $21,276 = $17,659.08

  cost for options = 0.80 × $1,219.80 = $975.84

  cost for destination charge = $590.00

The sum of the dealer's costs is ...

  $17,659.08 +975.84 +590.00 = $19,224.92

Barrons should estimate the dealer's cost to be $19,224.92.

Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:

A. $6,974.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the first term and the common ratio are given, respectively, by:

[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]

Hence the equation is:

[tex]a_n = 18000(0.9)^{n-1}[/tex]

At the end of the 10th year, the value will be of:

[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]

Hence option A is correct.

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Answer:

A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]

Step-by-step explanation:

We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.

Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.

Answer:

Choice A

Step-by-step explanation:

Let's solve to check.

Given:

x^2 + 8x + 6 = 0

Solution:

We know that,

[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]

So substitute them:

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]

[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]

[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]

[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]

Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.

[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]

[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]

[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]

[tex]\\ \rm\Rrightarrow MN=7.6[/tex]

The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.

It should be noted that graph simply means a diagram that's used to show the information about a data given.

Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.

Therefore, the correct option is C.

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Answer: 1/10

Step-by-step explanation:

(1 x 4)/(8x5)

4/40

1/10

Answer:

i don't understand your question

Step-by-step explanation:

Answer:

(x - 5)² - 25

Step-by-step explanation:

using the method of completing the square

x² - 10x

add/subtract ( half the coefficient of the x- term )² to x² - 10x

x² + 2(- 5)x + 25 - 25

= (x - 5)² - 25

Answer:

the top of the ladder is approx 8.485 meters off the ground

written explanation included

Step-by-step explanation:

I should probably write this out in one note but bear with me, please.

Assuming the ground and the wall meet at a 90° angle

therefore the angles of the triangle formed are 90°, 30°, and 60°

Since the amount is compounded monthly, the amount would triple after 26 months

Since the money is compounded monthly, we use the compound interest formula

The amount obtained on compound interest is given by A = P(1 + r)ⁿ where

Now, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"

Since A' = P(1 + r)ⁿ where

So, A' = P(1 + r)ⁿ

= 1000(1 + 0.002625)ⁿ

= 1000(1.002625)ⁿ

Also, since $75 is added monthly, after n months, A" = 75n

So, the total amount added is A = A' + A"

= 1000(1.002625)ⁿ + 75n

Since we require the time when the initial amount would triple, so, A = 3A'

= 3 × 1000

= 3000.

So,

A = 1000(1.002625)ⁿ + 75n

3000 = 1000(1.002625)ⁿ + 75n

3000 - 75n = 1000(1.002625)ⁿ

The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)

So, n = 25.736

≅ 26 months

So, the amount would triple after 26 months

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Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

Brainlist?????

Answer:

x = 10

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°

(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°

4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°

Add like terms

33x + 30 = 360°

Subtract 30 from both sides

33x = 330°

x = 10

Answer:

10

Step-by-step explanation:

we should note that the sum of angles of a quadrilateral is equal 360°

therefore,

(4x+23)+(16x+15)+(6x-5)+(7x-3)=360

30 +33x= 360

33x= 360-30

33x= 330

dividing through by 33

x= 330/33

x= 10

Answer:

10 cards

Step-by-step explanation:

4% of 250 cards

(4/100) x 250 cards

10 cards ✔️

Answer:

They Make 50 cents profit a pack

Step-by-step explanation:

1.89-1.35

Answer:

L=10y

Step-by-step explanation:

1cm=10mm

Hence, the length in millimeters will be 10 times the value in cm.

Answer: 1190 pages

Step-by-step explanation:

The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.  

14×85=1190 pages