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Answer:

The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

Step-by-step explanation:

Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:

X ^ 3 = 10

X = 3√ 10

X = 2.15

Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

Answer:

Step-by-step explanation:

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

vertex form of quadratic equation:

therefore

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

[tex]3 = a(1 {)}^{2} + 4[/tex]

simplify exponent:

[tex]3 = a + 4[/tex]

therefore

[tex]a = - 1[/tex]

our vertex form of quadratic equation is

let's simplify it to standard form

simplify square:

[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]

simplify parentheses:

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

simplify addition:

[tex]y = - {x}^{2} - 2x + 3[/tex]

therefore our answer is D)y=-x²-2x+3

the domain of the function

[tex]x\in \mathbb{R}[/tex]

and the range of the function is

[tex]y\leqslant 4[/tex]

zeroes of the function:

[tex] - {x}^{2} - 2x + 3 = 0[/tex]

[tex] \sf divide \: both \: sides \: by \: - 1[/tex]

[tex] {x}^{2} + 2x - 3 = 0[/tex]

[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]

factor out x and -1 respectively:

[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]

group:

[tex] \implies \: (x - 1)(x + 3) = 0[/tex]

therefore

[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]

Answer:

A: 8x + 19

Step-by-step explanation:

3(2x+3) = 6x + 9

2(x+5) = 2x + 10

6x+9 + 2x+10 = 8x + 19

(a)

[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]

Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :

[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]

[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]

(b) The series

[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]

converges by comparison to the convergent p-series,

[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]

(c) The series

[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]

converges absolutely, since

[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]

That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.

Step-by-step explanation:

if I had to guess it's probably true

Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:

Answer:

A.

Step-by-step explanation:

✔️Find the Mean and Mean Absolute Value of the first data set:

Write out the data values:

1, 2, 4, 4, 5, 5, 6, 7, 9, 9, 9, 11

Mean = sum of all data values ÷ number of data values in the data set

Mean = 72 ÷ 12 = 6

M.A.D = sum of |data value - mean| ÷ the number of data values

|1 - 6| = 5

|2 - 6| = 4

|4 - 6| = 2

|4 - 6| = 2

|5 - 6| = 1

|5 - 6| = 1

|6 - 6| = 0

|7 - 6| = 1

|9 - 6| = 3

|9 - 6| = 3

|9 - 6| = 3

|11 - 6| = 5

Sum of |data value - mean| = 30

M.A.D = 30 ÷ 12 ≈ 2.5.

✔️Find the mean and M.A.D of the second data set following the same steps and formula:

Write out the data:

1, 3, 4, 6, 6, 6, 7, 9, 9, 10, 10, 13

Mean = 84 ÷ 12 = 7

Sum of |data value - mean| = 32

M.A.D = 32 ÷ 12 = 2.7

✔️Comparing both data sets,

The difference of the means = 7 - 6 = 1

Thus, the value of this difference, 1, is less than half of the M.A.D of both sets, 2.5 and 2.7.

Answer:

1975------ 4.8%

1990 ------ 11.48%

1985 ------ 8.51%

Step-by-step explanation:

Given

[tex]P(t) = 0.04t + 4.6[/tex] if 0 ≤ t < 10

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex] if 10 ≤ t ≤ 30

Where

t:=0 implies year = 1970

Solving (a): Beginning of 1975.

First, we calculate the value of t

[tex]t = 1975 - 1970[/tex]

[tex]t = 5[/tex]

This falls in the range: 0 ≤ t < 10

So:

[tex]P(t) = 0.04t + 4.6[/tex]

[tex]P(5) = 0.04 * 5 + 4.6[/tex]

[tex]P(5) = 4.80[/tex]

Solving (b): Beginning of 1990.

[tex]t = 1990 - 1970[/tex]

[tex]t = 20[/tex]

This falls in the range: 10 ≤ t ≤ 30

So:

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]

[tex]P(20) = -0.01005*20^2 + 0.945*20 - 3.4[/tex]

[tex]P(20) = 11.48[/tex]

Solving (c): Beginning of 1985

[tex]t = 1985 - 1970[/tex]

[tex]t = 15[/tex]

This falls in the range: 10 ≤ t ≤ 30

So:

[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]

[tex]P(15) = -0.01005*15^2 + 0.945*15 - 3.4[/tex]

[tex]P(15) = 8.51375[/tex]

[tex]P(15) = 8.51[/tex]

Answer:

16 every 2 years, or 8 more per year

Answer:

Point Q:  ( 6, 6)

Step-by-step explanation:

    (10, 10)

- 2 (8, 8)

      ( 6, 6)

Answer:

Point Q is at (6, 6).

Step-by-step explanation:

Segment QR has a midpoint M at (8, 8).

Point R is at (10, 10), and we want to determine the location of Point Q.

First, recall that the midpoint is given by the formula:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]

We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:

[tex]\displaystyle (8, 8)=\Big(\frac{10+x}{2}, \frac{10+y}{2}\Big)[/tex]

This gives us two cases:

[tex]\displaystyle \frac{10+x}{2}=8\text{ and } \frac{10+y}{2}=8[/tex]

Solve for each case. Multiply both sides by 2:

[tex]10+x=16\text{ and } 10+y=16[/tex]

And we can subtract 10 from both sides:

[tex]x=6\text{ and } y=6[/tex]

Therefore, Point Q is at (6, 6).

Answer:

46

Step-by-step explanation:

Answer:

46 bc the angles across from each other are the same in a parallelogram

Answer:

.. it's 30 or 50

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Area = (8 + 14) x 1/2 x 9

Area = 22 x 1/2 x 9

Area = 11 x 9

Area = 99

Hope that helps!

-Sabrina

Step-by-step explanation:

Personally I think the answer is 2:7

I might be wrong but that is my opinion

Answer:

your answer will be B. 46

Step-by-step explanation:

hope it helps you...

have a great day!!!

Answer:

log150=2.1716091259

Step-by-step explanation:

Press it on your calculator

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Answer: 1 is not in the domain of f g.

Step-by-step explanation:

The answer would be x=18. First you set it up by setting up an equation;

166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.  

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Answer: 0.000000137

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

2/18 = 1/9

Step-by-step explanation:

2/3 x 1/3 = 2/9

2/9 x 1/2 = 1/9