Daniela notices
a pattern in her scrapbook. The leaves on the first page
are green. The second page has yellow leaves. The third
page has green leaves. The next page has yellow
leaves. Is this a repeating or growing pattern

The Integral Test is used to determine whether an infinite series converges or diverges by comparing it to an improper integral. In this case, we are asked to apply the Integral Test to the series.

To use the Integral Test, we must first check that the function f(x) = 5e^(3x)/(7+26x) satisfies certain properties. We can see that f(x) is a continuous, positive function for x greater than or equal to 1 because both the numerator and denominator are exponential functions. However, it is not clear whether f(x) is an increasing or decreasing function, nor does it have the property that a_k = f(k) for all k.

To proceed with the Integral Test, we evaluate the improper integral ∫_1^∞ 5e^(3x)/(7+26x) dx. We can use u-substitution with u = 7 + 26x and du/dx = 26 to simplify the integral as follows: ∫_1^∞ 5e^(3x)/(7+26x) dx = (5/26) ∫_0^∞ e^u/u du. This improper integral can be evaluated using integration by parts and the limit comparison test with the p-series 1/n, yielding: ∫_0^∞ e^u/u du = ∞    (divergent)

Since the improper integral diverges, the series 5e^(3k)/(7+26k) also diverges by the Integral Test. Therefore, the correct answer is: OA. 5e^(3x) The series diverges. The value of the integral - (5/26) ln|7+26x| dx is |ln(33/26)|.

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Answer: Angle 4

Step-by-step explanation:

The angle of depression is formed by the line of sight and the horizontal line tangent to the top of the observer.

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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SOLUTION

We want to select which graphs shows the original object HI, with coordinates

H(5, 4) and I(3, 4)

Now, we are told that the line was dilated with a scale factor of 1/2, with I as the center of dilation.

So since I is the center of dilation, its coordinate remains the same. So the image I'(3, 4) and the object I(3, 4) will have the same coordinate.

Also H(5, 4) and I(3, 4) this means that this is a horizontal line, with a scale of 2 units, that is using the x-coordinate

Dilating by 1/2 means reducing it by 1/2, so the line becomes 1 unit and remains horizontal. So new H coordinate becomes H'(4, 4)

Since the I coordinate remains the same,

The answer is H'(4, 4) and I'(3, 4)

Hence the 3rd graph is the answer

Answer: For those who looked up what I did, this is the answer

Step-by-step explanation:

Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

Can you provide a picture?

The mean of the given set of data will be 8.3.

Given is the following data -

3, 5, 8, 11, 11, 12

We have -

3, 5, 8, 11, 11, 12

We can calculate the mean as -

m = (3 + 5 + 11 + 8 + 11 + 12)/6

m = 50/6

m = 8.3

Therefore, the mean of the given set of data will be 8.3.

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Answer: 0-1hr

Step-by-step explanation: lollll

Answer:

Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space. ... If the data shows pronounced trends or reveals relations between variables, a graph should be used.

Step-by-step explanation:

HOPE THSI HELPS!

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is:

Answer:

9x − 3

Step-by-step explanation:

−9x + 3 = −1(−9x + 3) Multiply the expression by −1.

−1(−9x) + −1(3) Distributive Property

9x − 3 Simplify.

The additive inverse of the given expression is 9x-3​.

The given expression is -9x+3.

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The additive inverse of the expression is -(expression).

Now, -(-9x+3)

= 9x-3

Therefore, the additive inverse of the given expression is 9x-3​.

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139

because you do 5 dollars times 11 cats equals 55 and 12 dollars times 7 dogs equals 84 add it together is 139

The required equation is, 4x= 152

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have.

One amusmented park ride has 4 cars each with the same number of seats.

let, number of seat = x

At first, the train has 107 seats filled with people then 45 more seats are filled.

so, total seat =107+45

                     =152

Hence, The required equation is, 4x= 152

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Answer:

31/12

Step-by-step explanation:

Answer:

31/12

Step-by-step explanation:

First,

Figure out what the whole number represents.

2 = 24

Next,

Add 24 + 7 (the numerator)

24 + 7 = 31

Finally,

31 is the new numerator for the improper fraction.

The area of the bake sale sign is 6 ft²

Area is the amount of space occupied by a two dimensional object.

Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

The area of a rectangle = length * breadth

The area of the bake sale sign = length * breadth = \(\sqrt{4} *\sqrt[6]{729} = 6\ ft^2\)

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This will update the value of pizzaslist's first element's caloriesinslice to be the same as the value of pizzaslist's second element's caloriesinslice.

To assign pizzaslist's first element's caloriesinslice with the value in pizzaslist's second element's caloriesinslice, you will need to use the assignment operator (=) to set the value of the first element's caloriesinslice to the value of the second element's caloriesinslice. Here's how you can do it in HTML:

```html

 // Assign the value of pizzaslist's second element's caloriesinslice to pizzaslist's first element's caloriesinslice
 pizzaslist[0].caloriesinslice = pizzaslist[1].caloriesinslice;

```

This will update the value of pizzaslist's first element's caloriesinslice to be the same as the value of pizzaslist's second element's caloriesinslice.

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Answer:

Step-by-step explanation:

A. 1

B. -3

C. 3

D. -1

The value of x = -1

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

3x +y+2z=-10  equation 1

x+5y+2z=-12  equation 2

-2x+3y=-1       equation 3

Subtracting equation 1 to equation 2, we get

3x +y+2z - (x+5y+2z)=-10 - (-12)

3x +y+2z - x -5y -2z = -10 + 12

2x - 4y = 2   equation 4

Adding equation 4 to equation 3, we get

2x - 4y -2x+3y = 2 - 1

- y = 1

y = -1

Putting the value of y in equation 4, we get

2x - 4y = 2

2x - 4(-1) = 2

2x +4 = 2

2x = -2

x = -1

Therefore, the value of x = -1

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Answer:

It's an equilateral triangle so the measure of each angle here=60 degrees

s..4x degree=15*4

hence, the value of X=15

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Pythagoras (for right-angled triangles) :

c² = a² + b²

c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.

c = diagonal = 10 ft

therefore, the width of the rectangle is 10/2 = 5 ft

10² = 5² + b²

100 = 25 + b²

b² = 75

b = length = sqrt(75) = 8.660254038... ft

Answer:

hmmm

Step-by-step explanation:

you can go for bts or billie elish

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

60 dollars per hour.

Step-by-step explanation:

Hope this helps.

Step-by-step explanation:

x = age of brother 1 today

y = she of brother 2 today

x + y = 22

(x - 6)(y - 6) = 21

as 6 years ago, both were 6 years younger. than today.

from the first equation we get e.g.

x = 22 - y

using that in the second equation we get

(22 - y - 6)(y - 6) = 21

(16 - y)(y - 6) = 21

16y - 96 - y² + 6y = 21

-y² + 22y - 117 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = -1

b = 22

c = -117

y = (-22 ± sqrt(22² - 4×-1×-117))/(2×-1) =

= (-22 ± sqrt(16))/-2 = (-22 ± 4)/-2

y1 = (-22 + 4)/-2 = 9

y2 = (-22 - 4)/-2 = 13

as we can see, when we try it in our equations, x and y are interchangable : one has to be 9 and the other 13.

so, the older brother is 13 now.

Answer:

ngl ion even know

Step-by-step explanation:

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The volume of the box is 72 cubic feet.

We have,

To find the volume of the box, we need to multiply its length, width, and height.

Given:

Length = 4 ft

Breadth = 6 ft

Height = 3 ft

The volume of the box is:

Volume = Length x Breadth x Height

Volume = 4 ft x 6 ft x 3 ft

Volume = 72 cubic feet

Therefore,

The volume of the box is 72 cubic feet.

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Answer:

All are functions but the 1st one

Step-by-step explanation:

generally, if you have an equation that will repeat x values, it's not a function. The first one has an infinite number of x values