Serena is measuring the length of beetles for a science project 1 Beetle measures 4/5 cm and another measure 7/10 cm.what is the difference in the beatles length

Answer:W+6

Step-by-step explanation:

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

Answer:

1kg:375g

Step-by-step explanation:

divide 750 by 2

Answer:

(5,0)

Step-by-step explanation:

-6x-8y=10

(2)   2x-4y=10      (2)

4x-8y=20

add the systems

2x=10

divide 10 by 2

x=5

substitute 5 into x

2(5)-4y=10

10-4y=10

-4y=

y=0

The probability distribution for the face landing down =  4/15

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

If we assign 1 probability x

then 2 has probability  1/2 x.

Similarly,

then 3 has probability = 1/2((1/2)*x) = (1/4)*x

so

then 4 has probability = 1/2((1/4)*x) = (1/8)*x

These probabilities need to sum to 1.

Hence:

                \(x+\frac{1}{2} x+\frac{1}{4} x+\frac{1}{8} x=1\)

or equivalently

                   (15/8)*x = 1

                       x = 8/15

the probability distribution for the face landing down  = (1/2)*(8/15)

                                                                                         = 8/30

                                                                                         =  4/15

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I understand that the question you are looking for is:

A tetrahedral die has four faces, numbered 1-4. If the die is weighted in such a way that each number is twice as likely to land facing down as the next number (1 twice as likely as 2, 2 twice as likely as 3, and so on) what is the probability distribution for the face landing down?

The volume of a cube is calculated by raising the length of its edge to the power of three. In this case, with an edge length of 14 feet, the volume of the cube is 2,744 cubic feet.

The volume of a cube can be found by multiplying the length of its edge by itself three times. In this case, the given edge length is 14 feet. So, we can calculate the volume using the formula:

Volume = edge\(length^3\)

Substituting the given value, we have:

Volume = 14^3

To simplify the calculation, we can multiply 14 by itself twice:

Volume = 14 × 14 × 14

Evaluating this expression, we get:

Volume = 2,744 cubic feet

Therefore, the volume of the cube with an edge length of 14 feet is 2,744 cubic feet.

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Answer:

\( Distance = 160km\)

Step-by-step explanation:

According to the Question ,

We know the formula of speed as ,

\(\implies Speed \times Time = Distance \\\\\implies Distance = 80km/hr \times 2hr \\\\\implies \boxed{\boxed{ Distance = 160\ km}}\)

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle  = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

The general solution of the logistic equation dy/dt = 5y(1 - y/7) can be written as:

y(t) = 7 / (1 + 6e^(-5t))

2nd Part:

The logistic equation is a common model used to describe population growth that accounts for limited resources. In this case, we have the logistic equation dy/dt = 5y(1 - y/7), where y represents the population at time t and dy/dt denotes the rate of change of the population.

To find the general solution, we can separate the variables and integrate both sides. Rearranging the equation, we have:

dy / (y(1 - y/7)) = 5dt

Now, we integrate both sides with respect to their respective variables. On the left-hand side, we can decompose the fraction into partial fractions to make the integration easier. The partial fraction decomposition gives us:

1/y - 1/(y - 7) = 5t + C

Integrating both sides, we obtain:

ln|y| - ln|y - 7| = 5t + C

Using logarithmic properties, we simplify further:

ln|y / (y - 7)| = 5t + C

Exponentiating both sides, we get:

|y / (y - 7)| = e^(5t+C)

Since C is an arbitrary constant, we can combine it with e^5t, giving us a new constant K. Thus, we have:

|y / (y - 7)| = Ke^5t

We can eliminate the absolute value by considering two cases: y > 7 and y < 7. For y > 7, we have:

y / (y - 7) = Ke^5t

Simplifying further, we get:

y = (Ke^5t)(y - 7)

Expanding the expression, we have:

y = Ke^5ty - 7Ke^5t

Rearranging the terms, we find:

(1 - Ke^5t)y = -7Ke^5t

Finally, dividing both sides by (1 - Ke^5t), we obtain the solution for y(t) when y > 7.

Similarly, for y < 7, we consider the case:

y / (y - 7) = -Ke^5t

Following similar steps, we can derive the solution for y(t) when y < 7.

Combining both cases, we have the general solution of the logistic equation:

y(t) = 7 / (1 + 6e^(-5t))

In summary, the general solution of the logistic equation dy/dt = 5y(1 - y/7) consists of two parts: the brief solution, which states y(t) = 7 / (1 + 6e^(-5t)), and the explanation, which demonstrates the derivation and integration steps leading to the solution.

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Answer:

The slope is 1/3

Step-by-step explanation:

To find the slope of a line, we can use two points and the slope formula

m = ( y2-y1)/(x2-x1)

Picking two points on the line ( 0,2) and ( 3,3)

m = ( 3-2)/(3-0)

    = 1/3

The slope is 1/3

Answer:

This number is neither repeating or irrational.

Step-by-step explanation:

An irrational number is a number with a never-ending decimal that does NOT repeat. This number would be considered rational.

Answer:

172.72

Step-by-step explanation:

multiple 2.54 and 68

Answer:

a) Option A is correct.

b) Option B is correct.

Step-by-step explanation:

\(a) \: \: 5 \times a \\ = 5a\)

\(b) \: \: b \times b \\ = {b}^{2} \)

Answer:

Top

Step-by-step explanation:

The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. Therefore, the top option has the most closest lines to a linear function.

(Ex. 1) Y=4x-2

This example shows the corresponding possibilities of a linear regression because of the way the line is represented as graphed, making a straight line as similar to the top option

(Ex. 2) f(x) = x^2-5+15

This example dialates to a similar option like the third option, which isnt linear regression because of it being a quadratic function.

In a nut shell, all data plotted on the graph that are formed closer together and corresponds to a linear equation is a linear regression

Answer:

Micah can earn $2,669

I hope this helps

Step-by-step explanation:

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

\(x= \frac{y}{m} + b \)

Overall, learning math online can be a challenge, but with the right strategies and resources, it can be easier to understand and enjoy.

Mathematics is the study of numbers, shapes, and patterns. It is used to describe, explain, and predict physical and abstract phenomena. Mathematics is an important tool in many fields of study, including natural and social sciences, engineering, medicine, finance, and business. It is also a valuable tool for problem-solving and decision-making in everyday life. Mathematics involves both deductive and inductive reasoning, and is characterized by its use of abstraction, formalism, and logical reasoning. Mathematics is a universal language and its applications are found in a variety of disciplines.

I understand how frustrating it can be to try to learn math online. It can be difficult to understand and remember concepts when we are not in a classroom setting with our peers and teachers. Additionally, not being able to ask questions and get help from our peers or teachers in real-time can make it even more difficult to understand and learn math.



Overall, learning math online can be a challenge, but with the right strategies and resources, it can be easier to understand and enjoy.

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-⅔ (6x + 9) = 18

Apply distributive property. Multipy -⅔ to 6x and 9.

-4x - 6 = 18

Add 6 to both sides so -4x can be alone.

-4x - 6 + 6 = 18 + 6

-4x = 24

To get x alone, divide both sides by -4.

-4/-4x = 24/-4

x = -6

x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

Answer:

Its B (-1024)

The greatest product that can be obtained by multiplying two of these 36 integers is; 306

We are told that when 36 consecutive integers are added, the product is -18.

Now, the sequence for these integers would be;

x, (x + 1), (x + 2), (x + 3),......(x + 35)

Now, since the addition of these integers gives a negative number, then it suggests to us that the sequence starts with a negative integer and then ends with a positive integer.

Thus, we have;

x + (x + 1) + (x + 2) +(x + 3) + (x + 35) = -18

The formula for sum of an arithmetic sequence is;

Sₙ = (ⁿ/₂)(2a + (n - 1)d)

where a is first term and d is common difference

Thus;

-18 = (36/2)(2x + (36 - 1)1)

-18 = 18(2x + 35)

-18/18 = 2x + 35

2x + 35 = -1

x = -34/2

x = -17

Thus;

The first term = -17

Last term = -17 + 35 = 18

Thus, the greatest product that can be obtained  = 18 * 17 = 306

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Answer:

306

Step-by-step explanation:

Answer: 2

(0, 2)

Step-by-step explanation: The y-intercept is on the x-axis so the x-value is 0

The truncation error as a remainder term for the Taylor series expansion of f(x) = 1/(1+x) around x = 1, using n = 4, is given by R₄ = (x-1)⁵/5! × 24/(1+c)⁵.

Given is a function f(x) = 1/(1+x) we need to determine the Taylor series expansion of the function given,

To find the Taylor series expansion of the function f(x) = 1/(1+x) around x = 1, we first need to compute the derivatives of f(x) at x = 1.

Then we can use these derivatives to write the Taylor series expansion and calculate the truncation error as a remainder term.

Step 1: Compute the derivatives of f(x) at x = 1:

f(x) = 1/(1+x)

f'(x) = -1/(1+x)²

f''(x) = 2/(1+x)³

f'''(x) = -6/(1+x)⁴

f''''(x) = 24/(1+x)⁵

Step 2: Write the Taylor series expansion:

The Taylor series expansion of f(x) around x = 1 can be written as:

f(x) ≈ f(1) + f'(1)(x-1) + f''(1)(x-1)²/2! + f'''(1)(x-1)³/3! + f''''(1)(x-1)⁴/4! + Rₙ

where f(1) = 1/(1+1) = 1/2.

Substituting the derivatives at x = 1 into the expansion, we have:

f(x) ≈ 1/2 - 1/(2²)(x-1) + 2/(2³)(x-1)²/2! - 6/(2⁴)(x-1)³/3! + 24/(2⁵)(x-1)⁴/4! + Rₙ

Simplifying the terms, we get:

f(x) ≈ 1/2 - 1/4(x-1) + 1/8(x-1)² - 1/16(x-1)³ + 3/32(x-1)⁴ + Rₙ

Step 3: Calculate the truncation error as a remainder term:

The remainder term Rₙ can be expressed as:

Rₙ = (x-1)ⁿ⁺¹/(n+1)! × fⁿ⁺¹(c)

where c is a value between x and 1. In this case, we want to find the truncation error for n = 4.

R₄ = (x-1)⁵/5! × f⁵(c)

Substituting the expression for f⁵(x) at x = 1 into the remainder term, we have:

R₄ = (x-1)⁵/5! × 24/(1+c)⁵

Therefore, the truncation error as a remainder term for the Taylor series expansion of f(x) = 1/(1+x) around x = 1, using n = 4, is given by R₄ = (x-1)⁵/5! × 24/(1+c)⁵.

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Answer: no solutions

Step-by-step explanation:

There is no solutions because

the lines don't cross each other

Hope this helps :)

Answer:

no solutions

Step-by-step explanation:

4x - 6y = -24

2x - 3y = -6

Multiply the second equation by -2

-4x +6y = 12

Add this to the first equation

4x - 6y = -24

-4x +6y = 12

------------------------

0 = -12

This is never true so there are no solutions

Since there are 10 persons in the group who do not know one another, the real number of handshakes will be 45.

In probability theory and other branches of mathematics, the term "combination" refers to a succession of results where the order is irrelevant. A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen. Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant. Permutations: The sequence of events matters.

Here,

Total number of handshakes = 10C2 = (10 × 9)/2 = 45 handshakes.

When 10 people are shaking hands, each one will shake hands with 9 others.

The total number of handshakes in actual = 90/2 = 45 handshakes.

The total number of handshakes in actual will be 45 handshakes as there are 10 people in the group who do not know each other.

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Answer: 1000(1.05)^X or C

Step-by-step explanation: F(x) = a(1+r)^X

A = Initial amount, which is 1000

r = growth rate, which is .05, and you add 1 to that

So it's 1000(1.05)^X

GOOD LUCK!! :D

Answer:

108 cm

Step-by-step explanation:

You need to figure out the area of both triangles and then add them to the area of the rectangle. The area of the rectangle can be found like:

12x5=60.

Then, you need to find the are of the triangles. We are told the height of the hexagon is 13cm, and that the height of the rectangle is 5cm. So, the area of the height triangles is 13-5cm and to get the height of the original triangles we will do:

13-5=8/2=4.

Next, we need to find the area of the triangles. That is calculated using the formula a=(1/2)bh. The base is 12 cm (same as the bottom rectangle side) and the height, as found in the previous problem is 4cm. So, what we will do is:

a=(1/2)4*12=24.

The area of one triangle is 24, so we will add that to get the triangles combined area, to 48. The total area of the shape comes by adding all the areas of the shaped found inside it.

60+48=108. So the area of the hexagon is 108 cm.

Answer:

I'm sorry im not sure :-(

Step-by-step explanation:

Answer:

The y-intercept is the point where x equals 0, so point W(0,2) would be the y-intercept.

Answer:

W

Step-by-step explanation:

It is point W because W is where the line crosses the y-axis.