=
Solve the system of equations – 2x – 4y = -30 and -x + y = 6 by
combining the equations.

Answer:

4.0 cm

Step-by-step explanation:

The volume of the frustum is the volume of the full cone (with height y + 7) minus the volume of the upper smaller cone (with height y).

Formula:

volume of cone = (1/3)πr²h

For the full cone:

r = 8 cm

h = y + 7

volume of cone [in cm³] = (1/3)π(8²)(y + 7)

volume of cone [in cm³] = (1/3)π(64)(y + 7)

volume of cone [in cm³] = (64π/3)(y + 7)

For the upper cone:

volume of cone = (1/3)πr²h

volume of cone = (1/3)π(4²)y

volume of cone = (16π/3)y

For the frustum:

volume = volume of full cone - volume of upper cone

volume = (64π/3)(y + 7) - (16π/3)y

volume = 64πy/3 + 448π/3 - 16πy/3

volume = 48πy/3 + 448π/3

Now we solve for y:

48πy/3 + 448π/3 = 670.2

50.265y + 469.144 = 670.2

50.265y = 201.056

y = 4.0

Answer: 4.0 cm

Answer:

x < -20

Step-by-step explanation:

1. x/5 + 6 - 6 < 2 - 6

2. x/5*5 < -4*5

3. x < -20

Since you are multiplying the equation by a positive number, you do not need to switch the inequality sign.

Answer:

no solution

Step-by-step explanation:

There is no value of x that makes the equation be true since an absolute value can never be negative.

Answer:

18

Step-by-step explanation:

6+3=9 so do 9 add 8 =18 is another word is inverse

[tex]Hello[/tex] [tex]There![/tex]

I'll be helping your question today!

Let's do this step-by-step explanation!

[tex]9x^2-81[/tex]

Factor out common term 9: [tex]9(x^2-9)[/tex]

[tex]=9(x^2-9)[/tex]

Factor:[tex]x^2-9:(x+3)(x-3)[/tex]

[tex]=9(x+3)(x-3)[/tex]

Answer:

[tex]9(x+3)(x-3)[/tex]

The real answer is:

[tex]3x-3[/tex]

Hopefully, this helps you!!

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[tex]SokkaBanned[/tex]

The factorization of [tex]9x^2 - 81[/tex] is given 9(x-3)(x+3). Therefore, (c) is the correct option.

Factorization is the method of simplification of algebraic expressions which contains variables and constants into form that can not be divided into further factors.

To factorize, we first check if any variable or constant can be taken common. Next we check for algebraic identities.

Given in the question,

[tex]= 9x^2 - 81\\\\= 9(x^2 - 9)\\\\=9(x^2-3^2)\\\\=9(x-3)(x+3)[/tex]

identity used : [tex](a^2-b^2) = (a-b)(a+b)[/tex]

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Step-by-step explanation:

1 irrational

2 rational

3 rational

4 rational

Answer:round 2 = 9

round 3 = 27

Step-by-step explanation:

x3

Answer:

a mistake i made

Step-by-step explanation:

personal narrative is like an autobiography or a story about yourself

Answer: D " A mistake i made."

Step-by-step explanation:i took the test and it is a personal topic hope this helps. :)

Answer:

Supplementary to x is a 90° angle (right angle) which means that both x and the right angle will have to equal 180 degrees:

90 + x = 180

-90        -90

x = 90°

Let's find the angle measure that is supplementary to y.

A 5 sided shape is equal to 540 degrees (you could find this by using the formula: (n - 2) x 180 where n is the number of sides)

so given interior angles:

90 + 80 + 98(supplementary to angle 82 degrees) + 136 + 136(two equal angle measures in the polygon that are missing)

= 540(which is correct), so now we know the two missing angles, 136, besides the angle supplementary to 82 degrees.

136 is supplementary to y so:

136 + y = 180

-136       -136

y = 44°

Answer:

  1/2 bottle

Step-by-step explanation:

Jack drank 5/8 -1/8 = 4/8 = 1/2 bottle more than Paula did. That means Paula has 1/2 bottle of juice more remaining than Jack does.

Answer: d. yur welcome

Step-by-step explanation:

It can be deduced that the p-value is less than the level of significance.

It should be noted that the level of significance simply means the measure of the strength of the evidence that's is present in a sample before the null hypothesis is rejected.

From the complete question, the confidence interval is a given as (0.004, 0.176). In this case, the p-value is less than the level of significance and they should conclude that there's a difference between the proportions.

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Answer:

Step-by-step explanation:

 the total space or region bound by the sides of a polygon.

Answer:

307/500

Step-by-step explanation:

307 is a prime number.

The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.

now you take 614/1,000 because that's what you multiplied it by and simplify it.

614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.

The  best practices that i would recommend they follow so they can harness the power of compounding is to invest early.

For a person or an individual that what to harness the power of compounding the best practice is for the person to start his or her investment early or in the first ten years.

Investing early will give you more advantage as it help you to grow your wealth especially if you have a long term investment plan as the amount invested will continue to grow and compound.

Inconclusion the  best practices that i would recommend they follow so they can harness the power of compounding is to invest early.

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This shows that both functions have the same y-intercept

Given the following functions as shown:

f(x) = -x^2 + 2x + 1

g(x) = 2^x

The y-intercept occurs at x = 0

For f(x) =  -x^2 + 2x + 1

f(0) =  -0^2 + 2(0) + 1

f(0) = 1

For the g(x),  the y intercept is caculated as:

g(0) = 2^0
g(0) = 1

This shows that both functions have the same y-intercept

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Answer:

Both f(x) and g(x) have the same y-intercept of (0, 1). D

Step-by-step explanation:

Answer:

A. 13.5

Step-by-step explanation:

60 ft. = 3 in.

20 ft. = 1 in.

270/20 = 13.5

Answer:

y = 4x - 27

Step-by-step explanation:

Parrel lines have the same slope

Point-Slope Form:

(6, -3)

y - y1 = m(x - x1)

y - (-3) = 4(x - 6)

y + 3 = 4x - 24

 - 3         -3

y = 4x - 27

Hope this helps!

Answer:

68.35 Miles Per Hour that quals :)

Answer:

110 kilometers per hour equals 68.351 miles per hour

Step-by-step explanation:

Amount From To Conversion formula The conversion factor from kilometers per hour to miles per hour is 0.62137119223783, which means that 1 kilometer per hour is equal to 0.62137119223783 miles per hour: 1 km/h = 0.62137119223783 mph.

hope this helps

Answer:

4 : 3

Step-by-step explanation:

24: 18

Divide each side by 6

24/6 : 18/6

4 : 3

Answer: 4:3

Step-by-step explanation: so firstly we will see the common factors of 24 and 18.

the factors of 24 is 1, 2, 3, 4, 6, 8, 12, 24

the factors of 18 is 1, 2, 3, 6, 9, 18

we can see that the common factors are 1, 2, 3, 6

so the largest common factor is 6

so you divide 24 by 6 and that will give you 4

then you divide 18 by 6 and it will give you 3

so 24:18 simplify =4:3

Answer:

10

Step-by-step explanation:

The first step is to calcuate inside perthenses .

The second step is to find value of expontents.

The third step is to add then subtract.

The fourth step is to multiply.

Answer:

please attach a picture so I may assist

Answer:

column 1

5 × 98

33 x 12

3 x 6

100 x .1

8 x (3/4)

3×7

4×2

column 2

5(100-2)

33(10+2)

3(10-4)

100(0.06+0.04)

8(1/2+1/4)

3(3+4)

4(6-4)

column 3

5×100-5×2

33×10+33×2

3×10-3×4

100×0.04×100×0.06

8×1/2+8×1/4

3×3+3×4

4×6-4×4

column 4

500-10

330+66

30-12

4+6

4+2

9+12

24-16

value

490

396

18

10

6

21

8

the last row could also be 8x1

Liverwort do not have special tissues to deliver food and water to its cells.

They are referred to as descendants of the first land plants and are flowerless and spore-producing.

They are however non-vascular which means they lack special tissues to deliver food and water to its cells thereby making option D the most appropriate choice.

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Answer(s):

[tex]\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100 \\ y = 100cos\:\frac{\pi}{50}x + 100[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-25} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{50}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then by all means, go for it, but be careful and follow what is explained here. Now, as you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 100sin\:\frac{\pi}{50}x + 100,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 25\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle 25\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-25} = \frac{-\frac{\pi}{2}}{\frac{\pi}{50}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [220, 100],[/tex]from there to [tex]\displaystyle [120, 100],[/tex]they are obviously [tex]\displaystyle 100\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 100.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 100,[/tex]in which each crest is extended one hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**I knew exactly what you were talking about the moment you posted this, so here was what you were looking for. It really does not matter which sinusoid and person you select because you will get the same information either way.

I am delighted to assist you at any time.

The graph of cosine function is to model the ride of your chosen rider.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Let us assume that,

Function is,

f(x) = sin(x)

The curve of the sine function crosses the y-axis at the origin, heads up to y = 1 at x = π/2 and down to y = -1 at x = 3π/2.

Domain: (-∞, ∞)

Range: [-1, 1]

For f(x) = cos(x)

The curve of the cosine function crosses the y-axis at (0, 1) which is its maximum, heads down to y = -1 at x = π then heads up again.

Domain: (-∞, ∞)

Range: [-1, 1]

Given information:

Antoine and Adriane begin their journey at the top of the Ferris wheel.

After one revolution, they will again be at the top of the wheel.

If the wheel starts when time t = 0 seconds, and they begin their journey at the top of the wheel (the maximum point), the most appropriate graph to model their ride is the graph of the cosine function since it is at its highest point when x = 0.

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