The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The mode is best used as a measure of central tendency when dealing with nominal data, ordinal data where only the most frequent score is of interest, or unimodal distributions with skewed data.

The mode, like the median and mean, is one of the measures of central tendency that is used in statistics. However, when is it best to use the mode as a measure of center?

What is the mode? The mode is the most frequently occurring value in a set of observations. If a dataset includes many repeated values, then it has a high mode, whereas if it does not include repeated values, it has no mode. The mode is most useful for nominal and ordinal data when the central value or typical value is most frequent.

When is it best to use the mode as a measure of center? The mode should be used as a measure of central tendency in the following cases:

For example, when you ask people to rate their experience at a restaurant on a scale of 1 to 5 (1 = worst experience, 5 = best experience), the data is ordinal. However, if you only want to know the most frequent rating, the mode is the best measure of central tendency.

Describe what type of data would lead you to choose the mode over the mean or median.

The mode should be used as a measure of central tendency in the following cases:

Learn more about mode at:

brainly.com/question/14532771

#SPJ11

Answer:

The answer is -3

Step-by-step explanation:

f(-3)=3(-3)+6

f(-3)=-9+6

f(-3)=-3

Answer:the answer is -3, the first option (top to bottom)

Step-by-step explanation:

Find f(-3) as shown below

the answer is -3, the first option (top to bottom).

The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

Read more on conic section here: https://brainly.com/question/4017703

#SPJ1

Answer:

0

Step-by-step explanation:

Answer:

BAC = 58, CAD = 32

Step-by-step explanation:

The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.

15x - 2 + 7x + 4 = 90

Combine common terms

22x + 2 = 90

Solve for x

22x = 88

x = 4

Now you can plug x into the equation for each angle to find its value.

Angle BAC

15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees

Angle CAD

7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.

to determine if there is enough evidence to support the claim that the mean annual return is indeed greater than 3.6 percent or not.In hypothesis testing, the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.

In this case, the null hypothesis is that the mean annual return for the employee's IRA is at most 3.6 percent. It suggests that the true mean return is equal to or less than 3.6 percent. Mathematically, it can be represented as H0: μ ≤ 3.6, where μ represents the population mean.

The alternative hypothesis, Ha, contradicts the null hypothesis and asserts that the mean annual return is greater than 3.6 percent. It suggests that the true mean return is higher than 3.6 percent. It can be represented as Ha: μ > 3.6.

Learn more about null hypothesis here:

https://brainly.com/question/28920252

#SPJ11

The correct net that represents a Square pyramid is Option B.

A net is a two-dimensional pattern that can be folded into a three-dimensional figure. To draw a net of a square pyramid, we need to create a two-dimensional pattern that includes a square base and four triangular faces that meet at a common vertex.

Option A: This net has a square base, but it has three triangular faces and one trapezoidal face. Therefore, it does not represent a square pyramid.

Option B: This net has a square base and four triangular faces that meet at a common vertex. Therefore, it represents a square pyramid.

Option C: This net has a triangular base, so it does not represent a square pyramid.

Option D: This net has a square base, but it has six triangular faces that do not meet at a common vertex. Therefore, it does not represent a square pyramid.

Therefore, the correct net that represents a square pyramid is Option B.

It's important to note that there may be different ways to draw a net for a square pyramid, as long as the net includes a square base and four triangular faces that meet at a common vertex. However, Option B is a valid net for a square pyramid and represents the figure accurately.

To know more about Square pyramid.

https://brainly.com/question/30615121

#SPJ11

Answer:

Triangle Q R S is congruent to Triangle X Y Z

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(x + 2)² + (y + 8)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 2, - 8 ) and r = diameter ÷ 2 = 8 ÷ 2 = 4 , then

(x - (- 2) )² + (y - (- 8) )² = 4² , that is

(x + 2)² + (y + 8)² = 16

Answer:

Yes

Step-by-step explanation:

Because for every x value there is only one y value

The types of function that best models the number of books in Jamal's library as a function of time is A. increasing linear.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it's important to note that this is a linear equation. Also, every month Jamal adds two new books to his library. This implies that it's increasing.

In conclusion, the correct option is A.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Complete question

Every month Jamal adds two new books to his library. Which of the following types of functions

best models the number of books in Jamal's library as a function of time?

Increasing linear

Decreasing linear

Increasing exponential

Decreasing exponential

The slope of the line 5/7.

How do i know this?

Well the slope of a line is considered as rise/run.

So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.

Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.

Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.

Your welcome! :D

Answer:

1

Step-by-step explanation:

Calculation steps:

-7-(-8) =                  ⇒ two negatives cancel and change to positive

- 7 + 8 =                  ⇒ 8-7 = 1

1                              ⇒ answer

Answer:

b

Step-by-step explanation:

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

To know more about polynomial refer here:

https://brainly.com/question/11536910#

#SPJ11

Given:

The figure of an algebraic tiles model of an inequality.

To find:

The inequality for the given model.

Solution:

On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,

\(LHS=8(x)+12(1)\)

\(LHS=8x+12\)

On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,

\(RHS=12(-1)\)

\(RHS=-12\)

Now, the inequality for the given model is:

\(8x+12\geq -12\)

Therefore, the required inequality for the given model is \(8x+12\geq -12\).

Answer:

Well you have 6 lessons in total.

Step-by-step explanation:

if you finished 2 lessons you are 1/3

It is basically the same as 2/6 lessons

so

2/6 = 1/3

You have 6 lessons

Answer:

6

Step-by-step explanation:

Answer:

4 x 9 = 36 toilet rolls

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

1 pack = 4 rolls

9 packs = 4 rolls * 9 times = 36 rolls

Answer:

A & C

Step-by-step explanation:

You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.

A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.

B - Wrong because 4/3 is not a whole number

C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.

D - Wrong because 27/2 is not a whole number

E - Wrong because 0.2 is not a whole number

Let me know if you need a more thorough explanation! (:

1. Set up: To set up a void function, define it with the keyword "void" in the function signature, such as void functionName(). For a value-returning function, specify the return type in the function signature, such as dataType functionName().

2. Implementation and Documentation: In the implementation of the void function, write the necessary code to perform the desired actions. For a value-returning function, include a return statement to return the desired value. Properly document the function by providing a meaningful function name, describing the purpose of the function, and specifying any input parameters and the return value (if applicable).

1. Set up: To set up a void function, use the keyword "void" in the function signature. For example:

c++

void functionName()

This indicates that the function does not return a value. For a value-returning function, specify the return type in the function signature. For example:

c++

dataType functionName()

Replace dataType with the desired data type to be returned by the function.

2. Implementation and Documentation: In the implementation of a void function, write the necessary code to perform the desired actions. This can include any sequence of statements or function calls.

For a value-returning function, include a return statement to specify the value to be returned. For example:

c++

dataType functionName()

{

   // Code to perform calculations or operations

   return result; // Replace "result" with the actual value to be returned}

In both cases, it is crucial to provide proper documentation for the function. This includes choosing a meaningful name for the function, describing the purpose or functionality of the function, specifying any input parameters and their types, and indicating the return value (if applicable). This documentation helps other developers understand and use the function correctly.

By following these steps, you can effectively set up, implement, and document void and value-returning functions in your code.

To learn more about Algorith Workbench 5

brainly.com/question/32143886

#SPJ11

Answer:

c

Step-by-step explanation:

Answer:

I think it's 4/9 the first one

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

Learn more about point here:

https://brainly.com/question/32083389

#SPJ11

Answer:

52.6?

Step-by-step explanation:

Step-by-step explanation:

\( \\ 994.14 \div 18.9\)

\( \\ = \frac{99414}{100} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \times \frac{10}{189} \)

\( \\ = \frac{263}{5} \)

\( \\ = 52.6\)

Answer:

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]

Fragment free frame processing method causes a switch to wait until the first 64 bytes of the frame have been received before forwarding the frame to the destination device

An advanced type of cut-through switching is fragment-free (runtless switching). Before making a switching choice, switches engaged in cut-through switching merely read the Ethernet frame's destination MAC address field.

The latency in fast-forward mode is calculated between the first bit received and the first bit delivered. The most common cut-through switching technique is fast-forward switching. Switching without fragments: The switch stores the first 64 bytes of the frame in fragment-free switching before forwarding.

Learn more about frame here: https://brainly.com/question/19756844

#SPJ4

Answer:

$2500 would be taken for tax.

Step-by-step explanation:

You can get this answer from dividing 12,500 by 5. I do this because 20% is 5 out of on hundred.