2. The linear equation that represents this table of values is
x
0
1
2
3

y
4
3
2
0

Answer:

\(3 \leqslant - 3\)

Answers:

===============================

Explanation:

The rule you use is

(a^b)^c = a^(b*c)

For something like (2^5)^6, we have a = 2, b = 5, c = 6

So,

(a^b)^c = a^(b*c)

(2^5)^6 = 2^(5*6)

(2^5)^6 = 2^30

because 2^30 is so massive, it's likely your teacher will want you to keep 2^30 as is and not use your calculator to find what it turns into.

The other expressions are simplified in a similar manner.

For part (d), you'll use the rule x^0 = 1, where x is nonzero.

Answer:

Yg skg sms skg skg eksklusif

Answer:

The answer is 8 :)

The required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

Given that,
To determine the domain and the range of the function given in the graph.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
From the graph, the domain of the function is defined for x = -2 to x = 3,
While the range of the graph for a given function is defined for y = 2 to y = -3 corresponding to the domain.

Thus, the required domain and the range of the given function are (-2, 3) and (2, -3) respectively.

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In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Neither of the equation represent the a line that passes through (0, 5) and (4, 15)

The equation of a line can be represented in slope intercept form and point slope form as follows:

slope intercept form:

y = mx + b

where

Therefore,

m = 15 - 5 / 4 - 0

m = 10 / 4

m = 5 / 2

let's find y-intercept using (0, 5)

y = 5 / 2 x + b

5 = 5 / 2(0) + b

b = 5

Hence,

y = 5 / 2 x + 5

Let's find the equation in point slope form:

(0, 5)

y - y₁ = m(x - x₁)

y - 15 = 5 / 2(x - 4)

Therefore, neither of the equation represent the line.

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Answer:

30

Step-by-step explanation:

5% of 600 is 30 so that should be ur answer

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

9514 1404 393

Answer:

  (H)  y = 1/3x + 5

Step-by-step explanation:

When x=0, y=5, so you know G is not a possibility.

Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...

  (H)  y = 1/3x + 5

Answer:

x + 46

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

4(-8x + 5) - (-33x - 26)

Step 2: Simplify

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

Answer:$5565 just took it

Step-by-step explanation:

Answer:

Im sorry but I think you have forgotten to pit your question innit

Answer:

Step-by-step explanation:

something is wrong with the question...

thanks for the points. ^_^

Total change in temperature for the time period of 27 minutes = 27 * 3 = 81 degrees

We are told that;

Temperature rises by 3 degrees every minute.

Now, we are looking at a time from 6:45pm to 7:12pm. The total time here in minutes is 27 minutes.

Thus;

Total change in temperature for the time period of 27 minutes = 27 * 3 = 81 degrees

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Answer: 135 degrees

Step-by-step explanation:

First you now that ABD+DBC=180 degrees

Subsitute so you get: (5x+10)+(2x-5)=180

Solve:

(5x+10)+(2x-5)=180

=> 7x+5=180

=> 7x=175

=> x= 25

Plug in 25 :

ABD= 5*25+10=135

And there is your answer

Answer:

The predicted value of y is 504.5.

Step-by-step explanation:

Let be \(y = 152 + 12.9\cdot x_{1} + 2.7\cdot x_{2}\), for all \(x_{1}, x_{2} \in \mathbb{R}\). If \(x_{1} = 20\) and \(x_{2} = 35\), the predicted value of y is:

\(y = 152 + 12.9\cdot (20) + 2.7\cdot (35)\)

\(y = 504.5\)

The predicted value of y is 504.5.

Answer:

Value of w = 6

Step-by-step explanation:

Given:

AB= 4w-4

BC = 2w-8

AC = 24

Find:

Value of w

Computation:

AB + BC = AC

4w - 4 + 2w - 8 = 24

6w - 12 = 24

6w = 24 + 12

6w = 36

w = 6

Value of w = 6

Answer:

You have $126 saved and you've been saving for 28 weeks

Step-by-step explanation:

Answer:168.2 mm2

Step-by-step explanation:

Answer:

answer is X= 2/1 ×5+2 ok

the turtle will travel 26 meters in 13 minutes.

In physics and mathematics, distance (d) is the measure of the length between two points in a straight line or along a curved path. It is a scalar quantity that is usually measured in units of meters (m) or other distance units such as kilometers (km), miles (mi), feet (ft), etc.

a. The rule for the distance d traveled by the turtle as a function of minutes traveled t can be expressed as:

d = 2.0t

Where d is the distance in meters and t is the time in minutes.

b. To find out how far the turtle will travel in 13 minutes, we can simply substitute t = 13 in the formula we obtained in part a:

d = 2.0t = 2.0 x 13 = 26 meters

Therefore, the turtle will travel 26 meters in 13 minutes.

c .The graph is shown below:

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Answer:

100

Step-by-step explanation:

10,000 divided by 100 equals 100

The approximate solution is 3.52138. therefore the correct answer is option B.

How to find a point of intersection by Newton-Raphson method

Since f(x) and g(x)  are continuous differentiable functions, we can apply Newton-Raphson formula, which helps to find an approximate solution by a multi-stage approach:

xi + 1 = xi -(f(xi)/f'(xi)) , where, f(xi)= 3*log(x-2) - log x.  ....... (1, 2)

The first derivative evaluated at   is defined by this formula:

f'(xi) = [1.303/(x-2)] - [0.434/x]....... (3)

Now we proceed to find an approximate solution by iterations:

Iteration 1

x₀= 3.5

f(x₀)= -0.016

f'(x₀) = 0.745

x₁ = 3.521

Iteration 2

x₁ = 3.521

f(x₁) = -2.784 * 10⁻⁴

f'(x₁) = 0.733

x₂= 3.52137

Iteration 3

x₂= 3.52137

f(x₂) = -7.116 * 10⁻⁶

f'(x₂) = 0.7332

x₃= 3.52138

The approximate solution is 3.52138 (Correct choice: B)

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Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Answer:

no

Step-by-step explanation:

an irrational number is a number that can't be expressed in fraction

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

40

Step-by-step explanation:

a. There is a 0.7643 percent probability that the website will have fewer than 5 million visitors in a single day.

b. There is a 0.0375 percent chance that the website will have 3 million or more visitors in a single day.

c. There is a 0.3186 percent chance that the website will receive between 3 million and 4 million visitors in a single day. Therefore, about 5,276,320 visits per day's worth of website traffic will necessitate Smiley's People buying more server space.

d. The amount of web traffic that will require Smiley's People to purchase additional server capacity is approximately 5,276,320 visitors per day.

In order to calculate the likelihood, we must standardise the data using the equation z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, sigma is the standard deviation, and z is the standardised value.

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