The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will be graphed on the given coordinate plane. Which is the most appropriate choice of origin and scale for this graph?

Answer:

still don't get it

Step-by-step explanation:

but please write it in an understanding meaning

Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

Answer:

See below ~

Step-by-step explanation:

Completing the square :

Graph :

Answer:

x = 9(y - 1)² + 1

see attached for graph

Step-by-step explanation:

Given equation:

9y² - x - 18y + 10 = 0 ​

As there is a y² in the equation, this implies it is a sideways parabola.

To complete the square for a sideways parabola, collect the y variable terms on the left and everything else on the right:

⇒ 9y² - 18y = x - 10

Factor out the leading coefficient from the left side:

⇒ 9(y² - 2y) = x - 10

Take the coefficient of y, half it, then square it:  (-2 ÷ 2)² = 1

Add this inside the parentheses, and add the distributed value of this to the right side:

⇒ 9(y² - 2y + 1) = x - 10 + 9

Factor the parentheses and simplify the right side:

⇒ 9(y - 1)² = x - 1

Add 1 to both sides to make x the subject:

⇒ x = 9(y - 1)² + 1

Conic form of a sideways parabola with a horizontal axis of symmetry:

x = a(y - k)² + h

(where (h, k) is the vertex and y = k is the axis of symmetry)

If a > 0, the parabola opens to the right, and if a < 0, the parabola opens to the left.

Therefore, for  x = 9(y - 1)² + 1

To find the x-intercept, set y = 0 and solve for x:

⇒ x = 9(0 - 1)² + 1

⇒ x = 9(-1)² + 1

⇒ x = 9(1) + 1

⇒ x = 10

Therefore, the y-intercept is (10, 0)

As the axis of symmetry is y = 1, the other value of y when x = 10 is y = 2

Plot the vertex and points. Add an axis of symmetry to help draw the curve.  Draw the parabola opening to the right.

**graph attached**

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

We can make an infinite amount of other similar triangles just by changing the scale factor.

Answer:

We are given a length of 9 cm and a width of 4 cm and we are also told that it our shape is a rectangle.  This means that we are able to use the rectangle formula which is [tex]A=l*w[/tex].

Therefore, we can just multiply 9 cm by 4 cm and we get [tex]A = 36\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Step-by-step explanation:

103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more

16. PM = 26x + 8x^2y

A = 52x^3y

17. Area = 33a^5b

Answer:

197.92034

Step-by-step explanation:

V=πr2h=π·32·7≈197.92034

Answer: 25 - (6 + n)

The number 25 is decreased by and sum of number.

The numbers are 6 and n, Their Sum = (6 + n)

When 25 is decreased by this sum of numbers

Answer:

25 - (6+n)

Step-by-step explanation:

Important terms:

Finding the answer

We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.

Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )

25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)

Why the "6+n" must be in parenthesis

The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.

The cylinder is a three-dimensional shape and it has a radius, diameter and a height

Assume the square has the following dimensions:

Base dimensions = x

Height = h

Assume the cylinder has the following dimensions:

Radius  = r

Height = h

When the square is drilled out, the lateral surface area would be:

Lateral Area = Cylinder - Square

This gives

[tex]Lateral = 2\pi rh - 4xh[/tex]

Factor out 2h

[tex]Lateral = 2h( \pi h - 2x)[/tex]

Using the same dimensions in (a), we have:

Total surface Area = Cylinder - Square

This gives

[tex]Area = 2\pi r(r +h) - 2(2x^2 - xh)[/tex]

Factor out 2

[tex]Area = 2[\pi r(r +h) - (2x^2 - xh)][/tex]

Using the same dimensions in (a), we have:

Base area = Cylinder - Square

So, we have:

[tex]Base = \pi r^2 - x^2[/tex]

Using the same dimensions in (a), we have:

Volume = Cylinder - Square

So, we have:

[tex]Volume = \pi r^2h - x^2h[/tex]

Factor out h

[tex]Volume = h(\pi r^2 - x^2)[/tex]

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Answer:

(amounts could be:)

Katia: $3.50

Mateo: $1.75

Step-by-step explanation:

Remember that a quarter = $0.25, 4 quarters = $1.00

after an hour of playing games in the arcade, Katia has $1.75 more than Mateo

lets say that Katia has (random amount)$3.50(14 quarters) and Mateo has $1.75 less than that.

$3.50 - $1.75 = $1.75

Answer:

the answer to this question should be 14.85

Answer:

b=20

Step-by-step explanation:

[tex] {b}^{2} = {c}^{2} - {a}^{2} \\ b = \sqrt{ {25}^{2} - {15}^{2} } \\ b = 20[/tex]

The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

From the complete question, we have the following expressions:

(-x²+2x+3) and (-x²-2x-1)

Add both expressions

(-x²+2x+3) + (-x²-2x-1)

Expand

-x²+2x+3 -x²-2x-1

Collect the like terms

-x² -x² + 2x - 2x + 3 -1

Evaluate the like terms

-2x²+2

Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

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Answer:

-3. -5

-2. -4

-1. -3

0. -2

1. -1

formula is f(x)=x-2

The model could be improved by using a step function.

The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

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Answer:

(10,0)

Step-by-step explanation:

Moving right 2 units will increase the x value by 2 since you are going further 'down the corridor'. Hope this helps.

Answer:

133.3 <-- goes on forever

I think the rest are in decimal form.

Answer:

8 cm

Step-by-step explanation:

because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm

Answer:

8cm

Step-by-step explanation:

step1: 6/3=2

volume of a cube =x*x*

v

:=8cm

v=2×2×2

vvv v

Answer:

It would take 8 hours to drive 360 miles.

Step-by-step explanation:

360/45=8
D=R*T

Answer:

[tex]4^{4}[/tex]

[tex](-7)^{6}[/tex]

5x5x5x5

Step-by-step explanation:

The exponent sign shows how many times you will multiply the base number by itself

[tex]4^{4}[/tex] is saying "multiply 4 by itself 4 times" which is the same as 4x4x4x4

[tex](-7)^{6}[/tex] is saying "multiply -7 by itself 6 times" which is the same as -7x-7x-7x-7x-7x-7

Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]

Answer:

x = -4/3

Step-by-step explanation:

4 - 2x = x + 8

4 - 3x = 8

-3x = 4

x = -4/3

Answer:

6000 pounds or lbs.

Step-by-step explanation:

A ton=2000 lbs.

Hope this helps! ;-)

The measure of each angle is 43.25 and 46.75

The attached image represents the missing piece in the question.

From the image, we can see that:

3x - 13 + 5x - 47 = 90 ---- complementary angles

Evaluate the like terms

8x = 150

Divide by 8

x = 18.75

Substitute x = 18.75 in the given angles

3x-13 = 3 * 18,75 - 13 = 43.25

5x -47 = 5 * 18.75 - 47 = 46.75

Hence, the measure of each angle is 43.25 and 46.75

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