Which function has a constant additive rate of change of -1/4?

The 14th term of the geometric sequence 10, 20, 40, ... is 81920.

"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."

The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form [tex]a, ar, ar^{2},ar^{3} ,.............[/tex]). Here are the geometric sequence formulas.

[tex]a_{n}=ar^{n-1}[/tex]

Given geometric sequence

10, 20, 40, .........

From the given sequence

[tex]a_{1} = 10[/tex], [tex]a_{2} = 20[/tex], [tex]a_{3} = 40[/tex]

Using the formula [tex]a_{n}=ar^{n-1}[/tex]

⇒ [tex]a_{4} = 10(2)^{3} =80[/tex]

⇒ [tex]a_{5} = 10(2)^{4} =160[/tex]

⇒ [tex]a_{6} = 10(2)^{5} =320[/tex]

⇒ [tex]a_{7} = 10(2)^{6} =640[/tex]

⇒ [tex]a_{8} = 10(2)^{7} =1280[/tex]

⇒ [tex]a_{9} = 10(2)^{8} =2560[/tex]

.

.

.

⇒ [tex]a_{14} = 10(2)^{13} =81920[/tex]

Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.

Learn more about geometric sequence here

https://brainly.com/question/11266123

#SPJ2

Answer:

The p-value = 0.181186

The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Step-by-step explanation:

This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,

The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,

The null hypothesis is represented as

H₀: μ = 0 or p₁ = p₂

The alternative hypothesis is represented as

Hₐ: μ > 0 or p₁ > p₂

We then calculate the test statistic

The test statistic for two samples test is given as

t = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = success rate of repair of longer tears = (14/17) = 0.8235

n₁ = 17

p₂ = success rate of repair of shorter tears = (22/31) = 0.7097

n₂ = 31

σ =

√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}

σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]

= √(0.0085498676 + 0.0066459971)

= √0.0151958647 = 0.1232715081 = 0.1233

t = (p₁ - p₂)/σ

t = (0.8235 - 0.7097)/0.1233

t = 0.92

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.181186

0.181186 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Hope this Helps!!!

Answer:

I think the

Step-by-step explanation:

answer is C . let me know

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

Answer:

x=3

y=1

(3,1)

Step-by-step explanation:

Answer: c. (3, 1)

Step-by-step explanation:

(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20

Divide by 2

3x + y = 10

Plug in 3 for x

3(3) + y = 10

9 + y = 10

10 - 9 = 1

y = 1

Answer:

0.052

Step-by-step explanation:

Answer:

0.051866 is rounded to 0.052

Step-by-step explanation:

0.051866

As we know that significant figures are the accurately known digits and the first doubtful digit in an expression.

0.051866

when the dropping digit is greater than 5 than the last retained digit increases by 1 e.g. 0.051866 is rounded to 0.05187

again follow the rule 0.05187 is rounded to 0.0519

again follow the rule 0.0519 is rounded to 0.052

i hope it will help you

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Answer:

90

Step-by-step explanation:

We need to split this into two shapes are solve one first. In this example I will solve the rectangle on the left first.

V=LWH

V=2(6)(4)

V=48

2nd rectangle

V=LWH

V=1.5(4)(7)

V=42

Add those together

V=48+42

V=90

Answer:

43.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.

From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are

B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6

C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2

D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

The results are the same irrespective of the arrangement of the numbers.

Answer:

C no, because one x value corresponds to two different y values

Step-by-step explanation:

The x value of 3 goes to two different y values

This means this cannot be a function

This is not a one to one correspondence

Answer: C

Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.

Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.

Since the x-value of 3 corresponds to more than 1 y-value,

no, this table does not represent a function.

Answer:

The answer is the bottom left because those lines are the only ones which are not parallel.

Answer: Top Right

Step-by-step explanation:

Because all of the lines are are parallel lines that face the right.

Answer:

The answer is add 7x.

Step-by-step explanation:

When the first step is to add 10 to both sides :

[tex] - 8 - 7x = - 5x - 10[/tex]

[tex] - 8 - 7x + 10 = - 5x - 10 + 10[/tex]

[tex] - 7x + 2 = - 5x[/tex]

Next, you have to add 7x to both sides to eliminate -7x on the left side :

[tex] - 7x + 2 = - 5x[/tex]

[tex] - 7x + 2 + 7x = - 5x + 7x[/tex]

[tex]2 = 2x[/tex]

Answer:

add 7x

Step-by-step explanation:

This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.

Answer:

[tex]14^{14}[/tex] or 11112006825558016

Step-by-step explanation:

[tex]\frac{14^{15}}{14}[/tex] is the same thing as [tex]\frac{14^{15}}{14^{1}}[/tex].

When we divide 2 exponents together, we subtract:

15 - 1 = 14

[tex]14^{14}[/tex] or 11112006825558016 is your answer.

Answer:

4/3

Step-by-step explanation:

to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.

Thus,

Numerator = 3 x 1 +1 = 4

Denominator = 3

Fraction = 4/3

Hope this helps.

The improper fraction of 1(1/3) is 4/3.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1 and 1/3

An improper fraction means the numerator is greater than the denominator.

So,

1 and 1/3

= 1(1/3)

= (3 x 1 + 1) / 3

= 4/3

4 > 3 so it is an improper fraction.

Thus,

The improper fraction of 1(1/3) is 4/3.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ5

Answer:

-11pq +3m

hope it helps!

Step-by-step explanation:

2pq -16m -13pq +19m

(Group the terms with same variables)

= (2pq-13pq) + (-16m+19m)

= (2-13)pq + (-16+19)m

add/subtract the numbers

= -11pq +3m

Answer:

0.5 L

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The average rate of change is the same as the slope. Since the slope is the same no matter what interval you choose, the answer is 6.

Answer:

6

Step-by-step explanation:

The average rate of change is the same as the slope. Since the slope is the same no matter what interval you choose, the answer is 6.

Hey there! :)

Answer:

x = 65°

Step-by-step explanation:

Find the measure of the other two angles using the Supplementary Angles theorem:

180 - 105 = 75°

180 - 140 = 40°

The sum of all of the angles in a triangle is equal to 180°, therefore:

180 = 75 + 40 + x

180 = 115 + x

65 = x

x = 65°

Answer:

x = 65 is your answer but you should mark the person in front of me brainliest

Step-by-step explanation:

Answer:

b and d on edge

Step-by-step explanation:

bc it is

Answer:

false

true

false

true

Step-by-step explanation:

hope it helps :)

Answer:

$2 per song

Step-by-step explanation:

When you buy 2 songs, you pay $4.

$4 ÷ 2 = $2

Answer:

$2 per song

Step-by-step explanation:

rate of change for the function=cost/no. of song

=y/x

=2

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

Answer:

a) 5x and - 4x

Step-by-step explanation:

Explanation:-

Given  equation is 4 x² + x -5

the factors of     -20  =  - 4 × 5

                           ⇒  4 x² + 5x - 4x -5

                           ⇒ x ( 4 x +5) -1 ( 4x +5)

                           ⇒ (x -1) (4 x +5)

Answer:

A :)

Step-by-step explanation:

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

Answer:

point c

Step-by-step explanation:

hope i helped c:

Answer:

well we need to see a visual representation of figure 1 and figure 2

Step-by-step explanation:

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

Answer:

A and C

Step-by-step explanation:

* B cannot because don't have coefficient of x²

* D cannot because its x³, so its not a quadratic formula anymore

Answer:

a:is the answer good luck men

Answer:

Equilateral Triangle and Hexagon

Step-by-step explanation:

Am Supreme Ruler.