−12 as a ratio of two integers.

Answer:

The sequence converges to 1

Step-by-step explanation:

Given

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...[/tex]

Require

Description of the sequence

The given sequence follows:

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}[/tex]

i.e.

[tex]T_n = \frac{n+1}{n+3}[/tex]

For every term,

[tex]\frac{n+1}{n+3} < 1[/tex]

In other words,

as the value of n increases, [tex]\frac{n+1}{n+3}[/tex] approaches 1

Hence, (c) is true

Answer:

step 1 : 8/b = sin 45 degree so b = 11.31

step 2 : a/b = sin 60 degree, so a = 9.8

step 3: c/b = cos 60 degree, so c = 5.66

Answer:

John attempted 500 passes this year

Step-by-step explanation:

To sum up the question, it is basically asking what number has 350 as 70% of it.

We know that:

350 is 70% of some number.

Convert 70% to fraction:

70% = 7/10

Divide:

350 ÷ 7/10 = 500

So 350 is 70% of 500

CHECK THE ANSWER:

10% of 500 is 50

To find 70% of 500, multiply:

50 x 7 = 350

I really hope this helps! Please ask me in case you’re confused.

Answer: 37.28 mph

Step-by-step explanation:

Answer:

(3,10)

Step-by-step explanation:

When x is 3

[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]

y is 11, and this is invalid because it is not at accord.

The correct coordinates which is NOT a solution to the linear equation

y = 3x+2 is,

⇒ (3, 10)

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Linear equation is,

⇒ y = 3x + 2

We know that;

The solution of linear equation is satisfy the eqaution.

Hence, We can check as;

⇒ y = 3x + 2

Put x = 1. y = 5

⇒ 5 = 3 × 1 + 2

⇒ 5 = 5

Thus, It is solution of linear equation.

⇒ y = 3x + 2

Put x = 2. y = 8

⇒ 8 = 3 × 2 + 2

⇒ 8 = 8

Thus, It is solution of linear equation.

⇒ y = 3x + 2

Put x = 3, y = 10

⇒ 10 = 3 × 3 + 2

⇒ 10 ≠ 11

Thus, It is not solution of linear equation.

Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,

⇒ (3, 10)

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

It looks like the number 6 goes there. It seems to be the only one missing :|

Answer:

the number of students that enrolled after 15 year is 317

Step-by-step explanation:

The computation of the number of students that enrolled after 15 year is shown below;

We know that

Future value = Present value × (1 +rate of interest)^number of years

 = 100 × (1+8%)^15

= 100 × 1.08^15

= 317

Hence, the  number of students that enrolled after 15 year is 317

The same should be considered and relevant

Answer:

A

Step-by-step explanation:

Note: I suppose you typed the question wrong, thus I calculated the question in the picture

[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]

The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The quadratic function is,

⇒ x² - 5x - 2 = 0

Now, We can simplify as;

⇒ x² - 5x - 2 = 0

⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2

⇒ x = (5 ± √33) / 2

Thus, The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

[tex]x = 0.1349[/tex]

Step-by-step explanation:

Given

[tex]96x (730) = (85/x)(15[/tex]

Multiply both sides by x

[tex]96x^2 (730) = 85 * 15[/tex]

[tex]96x^2 (730) = 1275[/tex]

Rewrite as:

[tex]96*730x^2 = 1275[/tex]

[tex]70080x^2 = 1275[/tex]

Divide by 70080

[tex]x^2 = 0.01819349315[/tex]

Take square roots of both sides

[tex]x = 0.1349[/tex]

Answer:

13.33

Step-by-step explanation:

Because it's only payment one we can easily figure out the interest portion

we first need the effective rate

.08/12= .006666667

We the just mulitply this by loan amount

2000*.006666667= 13.33

Step-by-step explanation:

its your answer

I hope it's help you

Answer:

1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110

Step-by-step explanation:

its the answer

Answer:

x double bar = 4

LCL = - 2

UCL = 10

Step-by-step explanation:

The C - chart :

The control limit = xbar

xbar = mean = ΣX / n

The upper and lower control limit :

Xbar ± 3√xbar

Xbar = Σx / n = 100 / 25 = 4

Hence,

x double bar = 4

LCL = Xbar - 3√xbar = 4 - 3√4 = 4 - (3*2)

LCL = 4 - 6 = -2

UCL = Xbar + 3√xbar = 4 + 3√4 = 4 + (3*2)

LCL = 4 + 6 = 10

Answer:

5

Step-by-step explanation:

5 l 25,55

   l 5,11

Answer:

315

Step-by-step explanation:

the formula is V = B * h

B is the area of the base

V = (1/2)(10)(7) * 9

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Answer:

19.01%

Step-by- step explanation:

[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]

                [tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]

Answer:

we need to factorise if imaginary number is in the denominator. no action is required if its in the numerator.

you can factorise an imaginary number by multiplying both the numerator and denominator by the conjuncate of the complex number

for instance,

we've given a complex number as follows

[tex] \frac{x}{3x + 4i} [/tex]

factorising

[tex] \frac{x}{3x + 4i} \times \frac{3x - 4i}{3x - 4i} [/tex]

as 3x -4i is the conjugate of 3x + 4i

and 4i is the imaginary number

[tex] \frac{ x(3x - 4i)}{9x {}^{2} - 4 {i}^{2} }[/tex]

and since i² = -1

[tex]\frac{ x(3x - 4i)}{9x {}^{2} + 4}[/tex]

hence factorised

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given  

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval  

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2)  and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)  

Substituting the given values, we get –  

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057  

(-0.007, 0.107)

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

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

m = (2-10)/(3-1)

   =-8/2

   = -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

Answer:

First table from left.

Step-by-step explanation:

Equal step of a half.

1,7

2,9

3,13

4,21

Step-by-step explanation:This is the linear function graph i plotted the points

Answer:

The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

f(x) = x² - X + 2.

Quadratic equation with [tex]a = 1, b = -1, c = 2[/tex]

So

[tex]\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]

[tex]x_{v} = -\frac{(-1)}{2} = \frac{1}{2}[/tex]

[tex]y_{v} = -\frac{-7}{4} = \frac{7}{4}[/tex]

The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]

Answer: It's A.

You can see in the figure that:

BG=GD

<BGI=<OGD

GI=GO

answer is a-circumcenter

The term that describes point J is Centroid.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Centroid:

The centroid is the point where the three medians of a triangle intersect.

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

The centroid is also the center of mass of a triangle, and it is located two-thirds of the way along each median from the vertex to the midpoint of the opposite side.

Now,

From the figure,

We see that,

J is the point where the three medians of a triangle intersect.

Thus,

The term that describes point J is Centroid.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answer:

its answer is 3rd part

ABC-FED

Hey buddy I am here to help!

angle ABC = angle FED

Hope this answer helps!

Plz mark me brainliest!

Answer:

domain=0

range=2

Step-by-step explanation:

this might be helpful..

Answer:

Combine 4v_{5} and 2v_{5} to get 6v_{5}.

Answer:

a) true.

if 3 can divide a without remainder, then a = 3×x.

doubling that number makes it 2×3×x. because of that still included factor 3, it is still divisible by 3 without remainder.

b) false.

example :

a=6, b=4, c=3

bc = 12

6 can divide 12 without remainder, but 6 cannot do that with 4 and not with 3.

or

a=7, b=35, c=10

bc=350

7 can divide 350 without remainder, and can do that also with 35, but not with 10.

Answer:

hat mather chosen to be mather