What can be said about the relationship between the explantory variable and the response variable in the following scatterplot?

200, 150

a) The explanatory variable causes the responses.

b) There is a strong positive linear association.

c) There is a weak negative linear association.

d) There is a strong negative linear association.

e) None of the above

Answer:

y=50x

Step-by-step explanation:

find the slope of the line. it goes through the origin so there is no y-intercept.

what grade is this for?

hope this helps

Answer:

a rotation 90˚ clockwise and then a reflection across the y-axis

Step-by-step explanation:

I'm doing the test right now

a) To find a power series representation for the function f(x) = cos(x²) at c = 0, we can use the Maclaurin series expansion of cos(x). The Maclaurin series expansion for cos(x) is given by:

cos(x) = 1 - (x²/2!) + (x⁴/4!) - (x⁶/6!) + ...

Substituting x² for x in the above series, we get:

cos(x²) = 1 - (x⁴/2!) + (x⁸/4!) - (x¹²/6!) + ...

Therefore, the power series representation for f(x) = cos(x²) at c = 0 is:

f(x) = 1 - (x⁴/2!) + (x⁸/4!) - (x¹²/6!) + ...

b) To find the power series representation for g(x) = ∫[cos(x²)dx], we can integrate the power series representation of f(x) obtained in part a). Integrating term by term, we get:

g(x) = ∫[1 - (x⁴/2!) + (x⁸/4!) - (x¹²/6!) + ...] dx

Integrating each term, we get:

g(x) = x - (x⁵/5!) + (x⁹/9!) - (x¹³/13!) + ...

c) To estimate g(x) = ∫[cos(x²)dx] with an error below 0.001, we can use a specific number of terms from the power series representation obtained in part b). We keep adding terms until the absolute value of the next term is less than 0.001.

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Step 1:

First count the number of stickers on a page

There are 12 stickers in a page

Step 2

There are 30 pages,

Hence, the number of stickers in 30 pages = 30 x 12 = 360

Final answer

Dana has 360 stickers in all

Answer:

72 divided by 12 equals 6

Answer:

k<-10

Step-by-step explanation:

-3k+5>35

-3k+5-5>35-5

simplifica la expresión

k<-10

1. The sample refers to a subset of individuals or observations taken from a larger group known as the population. A statistic is a numerical summary calculated from the sample, while a parameter is a numerical summary calculated from the entire population.

2. The basic characteristics of an experiment that differentiate it from other types of research include the manipulation of an independent variable, random assignment of participants to different groups, and the ability to establish causal relationships between variables.

1. In statistics, a sample is a smaller group of individuals or observations that is selected from a larger group called the population. A statistic is a numerical summary or measure calculated from the data obtained in the sample. It provides information about the sample characteristics. On the other hand, a parameter is a numerical summary or measure calculated from the entire population. It represents the true characteristics of the population. The relationship between them is that statistics are used to estimate parameters. By analyzing the sample data, we can make inferences about the population as a whole.

2. An experiment is a specific type of research design that involves manipulating an independent variable to observe its effect on a dependent variable. This manipulation allows researchers to establish causal relationships between variables. In an experiment, participants are randomly assigned to different groups to control for potential confounding variables and ensure unbiased results. This random assignment helps minimize the influence of individual differences. These characteristics of experimentation, such as manipulation and random assignment, set it apart from other types of research designs like observational studies or correlational studies, where variables are observed rather than manipulated.

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The numerical solutions of the given differential equation using different methods, along with their corresponding %errors compared to the analytical solution, are summarized in the table below:

| Method           | Numerical Solution   | %Error |

|------------------|----------------------|--------|

| Euler            |                      |        |

| Euler-Cauchy     |                      |        |

| Runge-Kutta      |                      |        |

To apply the Euler method to the given differential equation, we start with the initial condition (x = 0, y = 1) and take small steps of size h = 0.2 until x = 1.0. We can use the formula:

\(\[y_{i+1} = y_i + h \cdot f(x_i, y_i)\]\)

where \(\(f(x, y)\)\) is the derivative of \(\(y\)\)with respect to\(\(x\).\) In this case,\(\(f(x, y) = \frac{1}{2y} - \frac{1}{2}x\).\)

Calculating the values using the Euler method, we get:

|x  | y (Euler)    |

|---|--------------|

|0.0| 1.000000     |

|0.2| 0.875000     |

|0.4| 0.748438     |

|0.6| 0.621928     |

|0.8| 0.496267     |

|1.0| 0.372212     |

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Answer:

A=6a2=6·52=150in²

Step-by-step explanation:

_______________

I'm reading your question

___________________

According to the Pythagorean theorem

Hypotenuse ^2 = Side 1 ^2 + Side 2 ^2

The hypotenuse is the case (Square 1 )

area of the sqaure= side of the square^2

________________________

That means the area of 1 is = area of square 2 + area fo square3 (J is false)

_______________________________

We are not sure about the relation between square 2 and 3 just the addition is the square 1 (F and H we have no certainty)

______________________________

G is true

______________________________

Answer

G

Answer:

sum will be 924.

formula for sum- n/2[a1+l]

Answer:

2 km/hr

Step-by-step explanation:

Distance traveled by Logan = 750 m = 0.75 km = \(\frac{3}{4}\ km\)

Time taken by Logan = \(\frac{1}{3}\ hours\)

To calculate the speed using time and distance, following formula is used:

\(\text{Average Speed =} \dfrac{\text{Total Distance}}{\text{Total Time}}\)

Speed of Logan :

\(\dfrac{\frac{3}{4}}{\frac{1}{3}}\\\Rightarrow \dfrac{9}4\ km/hr\)

Distance traveled by Mila = \(\frac{2}{3}\) of Logan's distance:

\(\frac{2}{3}\times \frac{3}{4} = \frac{1}{2}\ km\)

Time taken by Mila = \(\frac{1}{4}\ hr\)

As per formula above:

Average Speed of Mila is given as:

\(\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow \bold{2 km/hr}\)

True, euler's formula relates trigonometric functions with exponential functions .

Euler's formula, also known as Euler's identity, is a mathematical equation that establishes a relationship between exponential functions and trigonometric functions. It is stated as: e^(i * theta) = cos(theta) + i * sin(theta). where e is the base of the natural logarithm, i is the imaginary unit, theta is an angle in radians, and cos(theta) and sin(theta) are the cosine and sine trigonometric functions, respectively.

This formula is widely used in various branches of mathematics and engineering.

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For solving an equation, multiply from left to right is best way.

In some regions, the BODMAS is also known as PEDMAS which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction.BODMAS, which is referred to as the order of operations, is a sequence to perform operations in an arithmetic expression. Math is all about logic and some standard rules that make our calculations easier. So, BODMAS is one of those standard rules for simplifying expressions that have multiple operators.

The best answer might be multiply from left to right. This answer is given according to the BODMAS rule that is in an equation, first we solve brackets then the numbers with powers or square roots, then comes division, multiplication, addition and then subtraction.

Thus,For solving an equation, multiply from left to right is best way.

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There are many ways to find f and g, so the composition of those is  (f o g)(x) = 4/(x² + 9).

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

Find f and g, so that                        

(f o g)(x)  =  4/x²+9                

Well, there is more than one possibility.                                                  

For instance, It can be:  f(x)  = 4/x  and  g(x) = x² + 9

and then you have                          

(f o g)(x)  =  f[ g(x) ]                    

(f o g)(x)  = 4/g(x)                      

(f o g)(x)  =  4/x²+9                                                      

Another possibility:   f(x)  =  4/x+9    and g(x) = x²

and for those, you get

(f o g)(x)  =  f[ g(x) ]              

(f o g)(x)  =   4/g(x)+9      

(f o g)(x)  =  4/x²+9                                                              

Since f and g can be found in a variety of ways, as you can see above, the composition of those is  (f o g)(x) = 4/(x² + 9).

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Step-by-step explanation:

V=l*b*h , it's square, so l=b

V=l*h

l=V/h

l=546/6

l=91 in

So, if length of base is 91 in, the frame will be easily lay flat

Answer:

1. $15 x .3 = $4.50

2. $15 - $4.50 = $10.5

3. $15 x 1/4 = $3.75

4. $15 - $3.75 = $11.25

5. The better deal is 30% off because $4.50 is a greater savings than $3.75

Say it is two o'clock, draw an imaginary line between the hour hand and twelve o'clock to create the north-south line. You know the sun rises in the east and sets in the west so this will tell you which way is north and which way south. If you are in the Southern Hemisphere then it will be the other way round.

Answer:

Seis Mil Quatrocentos e Onze

Step-by-step explanation:

assim moça

Answer:Answer:

six-thousand four-hundred eighteen

Step-by-step explanation:

6,000 = six-thousand

400 = Four-hundred

18 = eighteen

Given:

Principal amount = P (o

Interest = 0.6% = 0.006 (divide by 100 since it's in percentage)

The algebraic expression is:

P + 0.006P = 1.006P

ANSWER:

P + 0.006P = 1.006P

A. A labeled circle graph to represent the percentages in the table is shown below.

B. The amount of money this family spent on each category for the party are;

In this scenario and exercise, we can make use of an online graphing calculator or Microsoft Excel to create and label a circle graph based on the percentages shown in the table. You should type in the various categories and input values (percentages) in columns and then click on insert (charts).

Part b.

Next, we would calculate the amount of money the family spent on each category for the party are as follows;

Drinks = 32/100 × 600

Drinks = $192.

Food = 38/100 × 600

Food = $228.

Entertainment = 18/100 × 600

Entertainment = $108.

Decorations = 12/100 × 600

Decorations = $72.

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\( {4}^{6} \times {4}^{ - 8} = {4}^{6 - 8} = {4}^{ - 2} = \frac{1}{ {4}^{2} } \\ \)

So the correct answer is (( a )) .

Done.....♥️♥️♥️♥️♥️

The number of songs that will be on the final CD is 3

From the information given, we have the following deductions;

To determine the number of songs on the final CD,

For the recorded CD,

The percentage is 25%

Then, we have;

12 + (25/100 × 12)

find the quotient

12 + (0.25 × 12)

12 + 3

15 songs

For the removed songs, the percentage is 80%

We have;

15 - (80/100 × 15)

Find the quotient

15 - (0.8 × 15)

Multiply through

15 - 12

3 songs

Hence, the number is 3

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In angle A we have supplementary angles, that is

130 + X = 180

X = 180 - 130

X = 50

From the properties of the angles of a triangle - refer to attached,

W = X + 105

as X = 50 - already calculated above, then

W = 50 + 105

Answer:

w+2≥3

w≥3-2

w≥1

I hope this helps:

Answer:

x = 3

Step-by-step explanation:

5(x+1) = 20

x+1 = 20/5

or, x+1 = 4

or, x = 4-1

so, x = 3