Answer it fast please​

(a) The average cost of the 10 tablets is $513.

(b) The average cost of tablets with a Windows operating system is $683, and the average cost of tablets with an Android operating system is $393. Thus we see tablets with Windows operating systems cost almost twice as much as tablets with an Android operating system, on average.

(c) 80% of tablets use a CPU manufactured by Intel.

(d) 60% of tablets use an Windows operating system.

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The explanatory variable is the clients while the response variable is change in duration.

A causal relationship is said to exist between variables whereby the occurrence of an event is as a result of another event.

In a causal relationship between variables, a value may represent explanatory variable while another value may represent a response variable.

An explanatory variable is the variable where observation of changes are being made such as the clients while the response variable are the outcome of the observation such as the duration of the run by each client.

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Answer:

The value of \(x\) is \(\frac{25}{2}\).

Step-by-step explanation:

From Analytical Geometry we get that ratio of BC to BE is:

\(\frac{BC}{BE} = 2\) (From definition of midpoint)

\(\frac{BE+CE}{BE} = 2\)

\(1 + \frac{CE}{BE} = 2\)

\(\frac{CE}{BE} = 1\)

\(CE = BE\)

If we know that \(BE = 50\) and \(CE = 2\cdot x + 25\), then, the equality above is expanded:

\(2\cdot x +25 = 50\)

\(2\cdot x = 25\)

\(x = \frac{25}{2}\)

The value of \(x\) is \(\frac{25}{2}\).

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

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Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

The numeric values for each expressions are given as follows:

From the graph of function f(x), the numeric values are given as follows:

From the graph of function g(x), the numeric values are given as follows:

Hence the numeric values are found replacing the values on the expressions as follows:

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Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

Given:

\($&\overline{A B} \cong \overline{D E} \\\) and

\($&\overline{A C} \cong \overline{D F}\)

According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

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answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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During your morning workout you run for 20 seconds for every 3 seconds you sprint. Write a proportion that shows the relationship between the number of seconds you run, the number of seconds you sprint, and the constant of proportionality​

In the part 1 we calculate the constant of proportionality

k=20/3

Remember that

y -----> the number of seconds you run

x -----> the number of seconds you sprint

so

The linear equation that represent the relationship between x and y is

y=(20/3)x

the proprtion is

Part 3

Rewrite the proportion as an equation to represent the number of seconds you run in terms of the number of seconds you sprint

the proportion is

y/x=20/3

frewrite as equation

Answer:

m<C = 119°

Step-by-step explanation:

Create an equation to find the value of x.

(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)

Solve for x

9x - 26 = 2x - 12 + 4x + 43

Add like terms

9x - 26 = 6x + 31

9x - 6x = 26 + 31

3x = 57

Divide both sides by 3

x = 19

✔️m<C = 4x + 43

Plug in the value of x

m<C = 4(19) + 43

m<C = 76 + 43

m<C = 119°

Answer:

14

Step-by-step explanation:

Plug in 3 where you see x

5(3)-1

15-1

14

For the given function \(\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}\) the value for limit is 5/8.

What is limit?

A limit in mathematics is a point at which a function approaches the outcome for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity.

The function is given as -

\(\displaystyle \lim_{x \to -\infty} \frac{5\sqrt[3]{x}-\sqrt[7]{x}}{8\sqrt[3]{x}+3\sqrt[7]{x}}\)

Dividing the function by \(\sqrt[3]{x}\) -

\(\displaystyle \lim_{x \to -\infty} \frac{5-\frac{1}{x^{\frac{4}{21} }} }{8+\frac{3}{x^{\frac{4}{21}}} }\)

Use the formula \(\displaystyle \lim_{x \to a} \Bigg[\frac{f(x)}{g(x)}\Bigg]=\frac{\displaystyle \lim_{x \to a}f(x)}{\displaystyle \lim_{x \to a}g(x)} , \displaystyle \lim_{x \to a}g(x)\neq 0\) -

With the exception of indeterminate form -

\(\frac{\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}{\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}\)

Find the values individually -

\({\displaystyle \lim_{x \to -\infty}\Bigg(5-\frac{1}{x^{\frac{4}{21}}} \Bigg)}=5\)

\({\displaystyle \lim_{x \to -\infty}\Bigg(8+\frac{3}{x^{\frac{4}{21}}} \Bigg)}=8\)

So, the limit is 5/8.

Therefore, the limit is 5/8.

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Answer:

9 containers

Step-by-step explanation:

$4.20 for 4 containers

Form that we can find the cost per container, the unit cost.

$4.20 / 4 containers = $1.05/container

Each container costs $1.05

Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.

$9.45/($1.05/container) = 9 containers

Answer: 9 containers

Step-by-step explanation:

Four containers of pudding cost $4.20.

4x = 4.20

x = 1.05

Using this we know that one container of pudding costs $1.05.

Then, divide the maximum amount that you have by the cost of one.

9.45/1.05 = 9

With $9.45, you can buy nine cups of pudding.

In the case that you can buy the four containers in bulk (4 at a time)...

You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.

Answer:

5

Step-by-step explanation:

The optimal production mix of the company is 56 chairs and 60 desks with a profit of $8800.

Linear programming problems are the problems involving the maximization or minimization of a linear function which is subjected to some linear constraints.

Given that,

Daily capacity of sawing department = 200 chairs or

                                                                80 desks

Daily capacity of chair assembling department = 120 chairs

Daily capacity of desk assembling department = 60 desks

Daily capacity of paint department = 150 chairs or

                                                             110 desks

These are the constraints.

Given,

Profit per chair = $50

Profit per desk = $100

Objective function is to maximize the profit.

Let x be the number of chairs and y be the number of desks.

Objective function is,

Maximize Z = 50x + 100y

Subject to

200x + 80y ≤ 16000 or 5x + 2y ≤ 400

150x + 110y ≤ 16500 or 15x + 11y ≤ 1650

x ≤ 120  

y ≤ 60  

The corner points are (120, -100), (56, 60), (120, 0) and (0, 60).

(120, -100) is not possible.

(56, 60) : z = (50 × 56) + (100 × 60) = 8800

(120, 0) : z = (50 × 120) + (100 × 0) = 6000

(0, 60) : z = (50 × 0) + (100 × 60) = 6000

Hence the optimal production mix is 56 chairs and 60 desks.

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Answer:

252-232=20-1=19

Step-by-step explanation:

the question said in between so you don't count the first and the last numbers

The nth term of the sequence 4/5, 1/5, 1/20. 1/80..... is an = 4/5(1/4)^(n - 1)

The definition of the function is given as

4/5, 1/5, 1/20. 1/80.....

The above definitions imply that we simply multiply 1/4 to the previous term to get the current term

Using the above as a guide, we have

First term, a = 4/5

Ratio, r = 1/4

So, we have the following equation

an = 4/5(1/4)^(n - 1)

Hence, the value of the nth term is an = 4/5(1/4)^(n - 1)

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Answer: D

Step-by-step explanation:

Answer:

a) common difference = 5

b) common difference =  - 2

c) not an arithmetic sequence

last question:
nth term: aₙ = 3n - 1

a₅₀ = 149

a₄₀₀ = 899

Step-by-step explanation:

Common difference d = difference between successive terms
For a)
d = 9 -4 = 14 - 9 = 5

For b)
d = 8 - 10 = 6 - 8 = -2

For c) 5, 5, 2, 0
5  -5 = 0
which is not equal to
2 - 5 = 3
So this is not an arithmetic sequence
(unless of course the series numbers have been copied wrong)

For the last question

Sequence = 2, 5, 8, 11, 14, ...

d = 5 - 2 = 8 -5 =  3

The nth term of an arithmetic sequence is given by the formula:

aₙ = a₁ + d(n-1)

where a₁ = first term = 2

d = 3

So
aₙ = 2 + 3(n- 1)
aₙ = 2 + 3n - 3
aₙ  = 2 -3 + 3n

aₙ = -1 + 3n
aₙ = 3n - 1

Check:

a₂ = 3(2) - 1 = 5
a₃ = 3(3) - 1 = 8
a₄ = 3(4) - 1 = 11

a₅₀ = 3(50) - 1 = 150 - 1 = 149

a₃₀₀ = 3(300) - 1 = 900 - 1 = 899

Answer:

2260.8cu.mm

Step-by-step explanation:I don't say you must have to mark my and as brainliest but if you think it has really helped you plz don't forget to thank me.