Find the length of x. Assume the triangles are similar.

This is a geometric progression

So

The general formUla is

[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]

[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]

Answer:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Step-by-step explanation:

Series: the sum of the elements of a sequence.

Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:

[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]

First determine if the sequence is arithmetic or geometric.

If it is an arithmetic sequence, there will be a common difference between consecutive terms.

if it is a geometric sequence, there will be a common ratio between consecutive terms.

From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Given:

[tex]a=\dfrac{1}{4}[/tex]

[tex]r=\dfrac{1}{4}[/tex]

Substitute the values of a and r into the formula:

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]

[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Therefore:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Answer:

option C.

Step-by-step explanation:

If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.

The equation for average rate of change is -

Δx/Δf =

f(x2) - f(x1) / x2 - x1

Answer:

  C  k(x)

Step-by-step explanation:

The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:

  [tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]

__

Here, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.

  A. j(2) -j(0) = 3(1.6²) -3 = 4.68

  B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5

  C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change

  D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5

The function k(x) has the greatest average rate of change over the interval [0, 2].

Answer:

800 is the answerrrr....

Circumference

Area

Answer:

Ig u have forgotten about the figure u need to ask it again but with figure

Answer:

is b i think

hope my answer help you

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

Answer:

the answer is D

Step-by-step explanation:

the answer is D because the

Answer: d

Step-by-step explanation:

Answer:

Answer is 12.5 degrees

Answer:

x = 12.5

Step-by-step explanation:

4(x + 40) + 4(3x) = 360

4x + 160 + 12x = 360

16x + 160 = 360

16x = 200

x = 12.5

The measure of the fourth interior angle of the quadrilateral will be 68°.

Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape, these angles are called interior angles of a quadrilateral. The measure of interior angles of a quadrilateral always sums up to 360°.

Let the measure of the fourth interior angle be x.

x + 55° + 117° + 120° = 360°

x + 292° = 360°

x = 68°

Hence, the fourth interior angle will be 68°.

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Answer:68

Step-by-step explanation:

I got it right on e2020

Answer: No

Step-by-step explanation:

A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.

Answer:

no

Step-by-step explanation:

because it does not represent any propotional relationship.

The mean is 20.7

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Class     Frequency{f}      Midpoint of frequency{x}                fx    

1-7                    13                              4                                             72

8-10                  14                             9                                              126

11-15                  18                            13                                            234

16-20                6                           18                                              108

21-35                 13                           28                                           364

36-50                19                            43                                          817

Sum                   83                                                                          1721

So,

Mean = 1721/83 = 20.7

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A slope is also known as the gradient of a line. Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

The slope of any line can found by finding the ratio of the vertical distance to horizontal distance between two ends. Therefore, the blanks can be filled as shown below.

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Answer:

answer is B

Step-by-step explanation:

We know,

Opposite of a big arm has a big angle....the same way you can find the next two....

as 18>16>14

the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2

where (a,b) are the coordinates of the center.

from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=

[tex] \sqrt{5} [/tex]

.

Answer:

x = 4

Step-by-step explanation:

Step-by-step explanation:

[tex] = (x + y)(x + 6y)[/tex]

[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]

[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]

[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]

Answer:

1 = 120

2 = 120

Step-by-step explanation:

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.

Each consecutive term in an arithmetic sequence has a common constant difference.

The sequence of the  liters of gasoline on each day is;

0.75,1.5,2.25,3

The given series is an arithmetic series with a common difference of 0.75

Common difference,d=0.75

First-term,a=0.75

The amount of gasoline used on the eighth day of his trip.

The nth term of the arithmetic sequence is;

[tex]\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6[/tex]

The 8th term of the arithmetic sequence is 6L.

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and  6 L.

Hence, option B is correct.

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Answer:

False

Step-by-step explanation:

Beacuse the equation is 4+2>5 with equals 7

Answer:

x = 4 ...In the equation, substitute 4

4 + 2 > 5

6 > 5

(This sign > means greater than)

(This sign < means less than)

In this case of the equation, 6 > 5, it's True

The parallelogram will translate along the arrow and reach the head of the arrow.

The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

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It would be 5 because three quarters of 20 would be 15, and 5 would be the remainder.

Step-by-step explanation:

Sorry if its wrong I cant see the answer choices

Answer: Answers attached in an image.



Step-by-step explanation: Work is attached on the image.

Answer:

OQ = 11

Step-by-step explanation:

Segment Addition Postulate

If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC

Given:

Q is the point on the line segment OP, so:

⇒ OQ + QP = OP

Substitute the given values of OP and QP to find OQ:

⇒ OQ + 6 = 17

⇒ OQ + 6 - 6 = 17 - 6

⇒ OQ = 11

Answer:

59

Step-by-step explanation:

[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{36 + 25} = \sqrt{61} [/tex]

[tex] \cos(p) = \frac{4}{ \sqrt{61} } [/tex]

[tex]p = {cos}^{ - 1} \frac{4}{ \sqrt{61} } = 59[/tex]

Make sure your calculator is in degree mode.

Answer:

x = 2

Step-by-step explanation:

3x + 1 = 7

3x = 7 – 1

3x = 6

x = 6/3

x = 2

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

Answer:  [tex]\textsf{x = 2}[/tex]

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

Given:  [tex]\textsf{3x + 1 = 7}[/tex]

Find:  [tex]\textsf{Solve for x}[/tex]

Solution: In order to isolate x we need to subtract 1 from both sides and the divide both sides by 3.

Subtract 1 from both sides

Divide both sides by 3

Therefore, the value of x is equal to 2.

There is an infinite number of length-width pairs that will result in a diagonal value of c.

Let a = the length. This is unknown.

Let b = the width. This is unknown.

Let c = the diagonal. This is a known value.

We have a right triangle with side a, side b, and hypotenuse c.

Since this is a right triangle, we will use the Pythagorean Theorem.

The Pythagorean Theorem is

[tex]c^2 = a^2 + b^2.[/tex]

Rearranging this formula gives

[tex]a^2 = c^2 - b^2[/tex]

And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]

Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.

There is an infinite number of length-width pairs that will result in a diagonal value of c.

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Answer:

result is 20%

Step-by-step explanation:

initially B was 100%

therefore 100% - 40%

=60% remaining

60% - 40%

= 20%

Answer:

The answer is 0.36b

Step-by-step explanation:

b-0.4xb=b-0.4b=0.6b

0.6b-0.4(0.6b)=0.6b-0.24=0.36b

Answer: 10.78

Step-by-step explanation:

Answer:

x = 95°

y = 40°

z = 95°

Step-by-step explanation: