Put the following equation of a line into slope-intercept
form, simplifying all fractions.
x + 4y = 24
ASAP!!!!

9514 1404 393

Answer:

Step-by-step explanation:

Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.

 (x -h)^2 +(y -k)^2 = r^2

You see that ...

 -h = +5   ⇒   h = -5

 -k = 0   ⇒   k = 0

  r^2 = 36   ⇒   r = √36 = 6

The center is (h, k) = (-5, 0), and the radius is r = 6.

Answer:

1

Step-by-step explanation:

Answer:

ice cream scoops (white scoop)= 2

ice cream cones = 3

ice cream scoops (pink scoops) = 1

Step-by-step explanation:

3 x 3 x 3 = 27

3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10

and so on

Answer:

Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.

Step-by-step explanation:

Step 1: Determining the amount in metric tons of paper products recycled

In the year 2010, a total of 76 million metric tons of MSW was recycled.

Recycling of paper products accounted for 33% of the total MSW recycled in 2010.

The amount of paper products recycled in millions of metric ton = 0.33 × 76 million  = 25.08 million metric tons of paper products.

Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products

7m³ of landfill space is saved for each metric ton of paper products.

Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled  × 7 m³/metric ton

Volume of landfill space saved = 25.08 million metric tons  × 7  m³/metric ton

Volume of landfill space saved = 175.56 million m³ of land space

Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space

Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

A proportion is a fraction of a total amount.

In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:

0.33t = 7

t = 7/0.33

t = 21

21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.

More can be learned about proportions at https://brainly.com/question/24372153

I'm assuming all the numbers here mistakenly got copied twice.

Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.

I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.

Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of

(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min

Thus the amount of salt (ignoring units now) in the tank changes according to the DE,

dA(t)/dt = -0.002 A(t)

which is easy to solve because it's linear with constant coefficients.

Without going into too much detail:

dA(t)/dt + 0.002 A(t) = 0

exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0

d/dt [exp(0.002t ) A(t)] = 0

exp(0.002t ) A(t) = C

A(t) = C exp(-0.002t )

Given A(0) = 70, solve for C :

70 = C exp(0) = C

Hence

A(t) = 70 exp(-0.002t )

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Answer:

Triangle+ 83.25

Square/ Rectangle = 166.5

Step-by-step explanation:

I need the shape specified

Answer:

Step-by-step explanation:

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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9514 1404 393

Answer:

  see attachment

Step-by-step explanation:

The iterator for Newton's method gives the next approximation (x') as ...

  x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)

We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).

__

Additional comment

Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.

Answer:

[tex]x-9[/tex]

Step-by-step explanation:

[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]

The length of the third side in terms of x is x+1.

The perimeter of a triangle is the sum of all its three sides.

We can work out the perimeter using the following formula:

The perimeter of a triangle is = sum of all three sides.

The length of the third side in terms of x is given by;

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]

Substitute all the values in the formula

[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]

Hence, the length of the third side in terms of x is x+1.

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Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

9514 1404 393

Answer:

  $46.38

Step-by-step explanation:

When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.

  1.20 × 38.65 = 46.38

Marina's total with the tip is $46.38.

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

π and f. 125

Step-by-step explanation:

for the circle its π or 3.1415926535....

for the triangle its f. 125

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Answer:

6-2x+5+4x

2x+11

hope this helps

have a good day :)

Step-by-step explanation:

The only step you need to do is add like terms

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Answer:

72

Step-by-step explanation:

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

Answer:

5/y - 10

Step-by-step explanation:

I doubt the completeness of your question, however

the answer is

5/y - 10

Answer:

0,4

Step-by-step explanation:

See image below:)

Answer:

In ΔXYZ

-------------

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope of line S using line R (m)

[tex]y=-\frac{1}{4} x+3[/tex]

We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{4}x+b[/tex]

2) Determine the y-intercept of line S (b)

[tex]y=-\frac{1}{4}x+b[/tex]

Plug in the given point (-4,3) and solve for b

[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]

Subtract 1 from both sides to isolate b

[tex]3-1=1+b-1\\2=b[/tex]

Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:

[tex]y=-\frac{1}{4}x+2[/tex]

I hope this helps!

Answer:

False

Step-by-step explanation:

Assuming a and b are 2 different terms,

Sqrt a + Sqrt b is not equal to Sqrt (a * b).

The only way to obtain Sqrt (a * b) is by doing the following:

Sqrt (a * b) = Sqrt (a) * Sqrt (b)