Answer:
8.10 & 8.100
Hope this helps ^^
Have a good day <3!
Determine whether the sequence converges or diverges. if it converges, find the limit. if it diverges write none. a_n = (9 3 n**2)/(n 8 n**2)
According to the question, determine whether the given sequence converges or diverges.
The given sequence is: [tex]a(n) = \frac{9+3n^{2} }{n+8n^{2} }[/tex]
Taking limits tends to infinity on both sides. And dividing numerator and denominator by [tex]n^{2}[/tex]
Therefore, the final term can be re-written as: [tex]a(n) = \frac{9+3n^{2} }{n+8n^{2} } = \frac{3}{8}[/tex].
Hence, the given sequence converges and the limit is [tex]\frac{3}{8}[/tex].
What converges and diverges in limits?
When the limits of the sequence exist and have finite value that means the sequence is a convergent sequence. The calculated value is a real number. And the tem divergence means limits do not exist.
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Write the equation for each line. Use slope-intercept form. m = - 3/8 and the y -intercept is (0,12) .
The equation of the line in slope-intercept form with a slope of -3/8 and y-intercept of (0 , 12) is y = (-3/8)x + 12.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given that the slope of the line is -3/8 and the y-intercept is (0 , 12), write the equation of the line by simply plugging in its values.
y = mx + b
y = (-3/8)x + 12
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Write an equation of each line.slope =0 ; through (4,-2)
The equation of the line, with slope equal to 0 and passing through the point located at (4 , -2), is y = -2.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = 0 and (x1 , y1) = (4 , -2)
(y - -2) = 0(x - 4)
(y + 2) = 0
y = -2
In slope-intercept form, the equation of the line is:
(y + 2) = 0
y = -2
In standard form, the equation of the line is:
y = -2
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can someone please help me
Answer:
It's B
Step-by-step explanation:
Step-by-step explanation:
[tex]\displaystyle\\12-15x > 22\\12-15x+15x > 22+15x\\12 > 22+15x\\12-22 > 22+15x-22\\-10 > 15x\\Divide\ both\ parts\ of \ the \ equation\ by\ 15:\\-\frac{10}{15} > x\\\\-\frac{5*2}{5*3} > x\\\\-\frac{2}{3} > x \\\\Thus,\\\\x < \frac{-2}{3}[/tex]
Answer: A
[tex]\displaystyle\\4\leq 3x+10 < 19\\\\4-10\leq 3x+10-10 < 19-10\\\\-6\leq 3x < 9\\\\Divide\ the\ inequality\ by \ 3:\\\\-2\leq x < 3\\\\Answer:\ -2\leq x < 3[/tex]
13. Compount Interest An initial deposit of $8500 is compounded continuously at an annual
percentage rate of 3.5%.
xmp+81
Find the number of years required for the investment to double. Round to the nearest whole
number. What is the amount after 10 years?
Use the formula: A = Pert
Answer:
It will take approximately 20 years for the investment to double. The amount after 10 years will be $17,033.
Step-by-step explanation:
Give me Brainliest if that helped! :)
let f(x)=4x^2+5 and g(x)=2x-4. find f(x)+g(x)
Answer:
[tex]4x^2+2x+1[/tex]
Step-by-step explanation:
[tex]f(x)=4x^2+5\\g(x)=2x-4\\\\f(x)+g(x)=(4x^2+5)+(2x-4)\\\\4x^2+5+2x-4\\\\4x^2+2x+1[/tex]
A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area? Use your strategy to find the area of the face of
the fiddle.
Five of seven kittens in a litter had black markings. Write a simplified ratio for each of the following:
Kittens without black markings to kittens with black markings: 2 to 5
s: 2 to 7
2 t
Kittens without black markings to total kittens:
Kittens with black markings to total kittens: 5 to 7
Kittens without black markings to kittens with black markings: 2:5
Kittens without black markings to total kittens: 2:7
Kittens with black markings to total kittens: 5:7
Pre Algebra 1/10+x=1/5 view attachment for more
Answer:Your answer would be x=1/10
Step-by-step explanation:
Below are graphs of functions over the interval [-4, 4]. Find the following for each function:
The domain
Zeros of the function
Intervals where the function is positive and intervals where it is negative
The positive interval is (0,2) and the negative range is calculated as (-4,0) and (2,4).
A graph is used to show the relationship between variables on a coordinate plane.
The domain of the function is [-4,4].
The zeros are: -2,0 and 2.
The positive interval is between (0,2).
The range of negative values is (-4,0) to (2,4). This is the set of x values in the graph. The graph demonstrates that the x value is between -4 and 4.
Thus, the domain is [-4,4]. The zeros of the function: Where it crosses the x- axis. The graph touches the x-axis when it is at -2,0 and 2. As a result, the function has the following zeros:-2,0 and 2.
Positive interval:
On the graph, positive values range from x = 0 to x = 2.
Consequently, the positive interval is (0,2).
Negative duration:
This is the x values when the function gives a negative result.
The graph shows negative values from x = -4 to x = 0, then from x = 2 to x = 4.
The negative range is therefore (-4,0) and (2,4).
Hence, the positive interval is (0,2) and the negative range is (-4,0) and (2,4).
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Write each logarithmic expression as a single logarithm. log₃ y + 4 log₃ t
The given lograthimic expression log₃ y + 4 log₃ t can be written as log₃(yt^4).
According to the given question.
We have an logarithmic expression
log₃ y + 4 log₃ t
As we know that, a logarithmic expression is an expression that involves the logarithm of an expression containing a variable.
Also according to the product and power rule we know that
log(mn) = logm + logn
Thereofore, the given lograthimic expression log₃ y + 4 log₃ t can be written as
log₃ y + 4 log₃ t
= log₃ y + log₃ t ^4
= log₃(yt^4)
Hence, the given lograthimic expression log₃ y + 4 log₃ t can be written as log₃(yt^4).
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MATH HELP
PART 2 since the first one was to blurry
Using a system of equations, it is found that there were a total of 825,000 Arabic speakers, and the diagram is completed as follows:
Larger part: 639,000.Smaller part: 825,000 - 639,000 = 186,000.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable f: number of French Creole speakers.Variable a: number of Arabic speakers.There were 639,000 French Creole speakers, hence:
f = 639,000.
There were 186,000 more Arabic speakers than French Creole speakers, hence:
a = 186,000 + f = 186,000 + 639,000 = 825,000.
There were a total of 825,000 Arabic speakers, and the diagram is completed as follows:
Larger part: 639,000.Smaller part: 825,000 - 639,000 = 186,000.More can be learned about a system of equations at https://brainly.com/question/24342899
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-3y + 2x = -7
8x - 3y = -1
Answer: If you're solving for the substitution method then your answer would be (1,3)
Step-by-step explanation:
Answer:
x = -4/5
y = 9/5
Step-by-step explanation:
-3y + 2x = -7
8x - 3y = -1
make one of the equations y=....
-3y + 2x = -7
-3y = -7 - 2x
y = (-7 - 2x)/3
now put (-7 - 2x)/3 where y is in the other equation
8x - 3y = -1
8x - 3((-7 - 2x)/3) = -1
8x - 1*(-7 - 2x) = -1
8x + 7 + 2x = -1
solve for x
8x + 7 + 2x = -1
8x+2x = -8
10x = -8
x = -8/10
x = -4/5
now put -8/10 in one of the equations to get what y is
-3y + 2x = -7
-3y + 2(-8/10) = -7
-3y - 16/10 = -7
-3y = -7 + 16/10
-3y = -70/10 + 16/10
-3y = -54/10
y = -54/10 * -1/3
y = 18/10
y = 9/5
Evaluate each.
a.
-4+|51|-4
b. -3•-8
C.
32 ÷ -2
Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (f + g)(−8) (f + g)(−8) =
The value of the function (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.
We are given the functions:
f(x) = x + 3
g(x) = x² − 2
Now,
(f + g) (−8) × (f + g)(−8)
= [ (f + g) (−8) ]²
Substituting the values of the functions, we get that:
=(x + 3 + x² - 2)² , where x = -8
= ( -8 + 3 + 64 - 2 )²
= ( -5 + 62)²
= (57) ²
= 3249
So, the value of the function (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
B(√3, 2,2√2) and C(-2√3, 4,4√2)
The midpoint is at ([tex]-\sqrt{3} , 3 ,3\sqrt{2}[/tex])
In the given statement is
To find the midpoint of the line segment joining the pair of points
B(√3, 2,2√2) and C(-2√3, 4,4√2)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2} ,[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points B(√3, 2,2√2) and C(-2√3, 4,4√2)
Solving for the midpoint , we have,
m = ([tex]\frac{\sqrt{3}+(-2\sqrt{3} ) }{2}, \ \frac{2+4}{2}, \frac{2\sqrt{2} +4\sqrt{2} }{2}[/tex])
m = [tex]\frac{-2\sqrt{3} }{2} ,\frac{6}{2},\frac{6\sqrt{2} }{2}[/tex]
m = ([tex]-\sqrt{3} , 3 ,3\sqrt{2}[/tex])
Therefore, the midpoint is at( [tex]-\sqrt{3} , 3 ,3\sqrt{2}[/tex])
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a 12 pound can of lemonade cost 1.32 how much would a 16 ounce can of lemonade cost? please tell me the answer I need to get this right thx xo
Answer:
1.76.
Step-by-step explanation:
1.32 ÷ 12 = 0.11
16 x 0.11 = 1.76.
Hope this helped! ..・ヾ(。＞＜)シ xx
Help me I’m so confused
The number of apples Chee bought is 2, and the number of peaches she bought is 8
Solving System of Linear Equations GraphicallyFrom the question, we are to determine the number of apples, x, and the number of peaches, y, that Chee bought
From the given information,
She bought $6 worth of apples and peaches
and
Each apple costs $1 and each peach costs $0.50
Then, we can write that
$1 × x + $0.50 × y = $6
x + 0.50y = 6
Also,
She bought 4 times as many peaches as apples
That is,
y = 4x
Now, we will solve the system of equations graphically
x + 0.50y = 6
y = 4x
From the graph, the solution to the system of equations is x = 2, y = 8.
Hence, the number of apples Chee bought is 2, and the number of peaches she bought is 8
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a. A circle contains the points (0,0),(6,8) , and (7,7) . Find its equation by solving a system of three equations.
Using system of three equations, the equation of the circle that contains the points (0 , 0), (6 , 8), and (7 , 7) is (x - 3)^2 + (y - 4)^2 = 25.
The standard form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Substituting the values of the x and y coordinates of each point to the standard form of the equation of a circle, the three system of equations are:
(x - h)^2 + (y - k)^2 = r^2
(0 , 0) : (0 - h)^2 + (0 - k)^2 = r^2
(6 , 8) : (6 - h)^2 + (8 - k)^2 = r^2
(7 , 7) : (7 - h)^2 + (7 - k)^2 = r^2
Expanding these equations,
(0 , 0) : h^2 + k^2 = r^2 (equation 1)
(6 , 8) : 36 - 12h + h^2 + 64 - 16k + k^2 = r^2 (equation 2)
(7 , 7) : 49 - 14h + h^2 + 49 - 14k + k^2 = r^2 (equation 3)
Subtracting equation 1 from equation 2 and 3.
36 - 12h + h^2 + 64 - 16k + k^2 = r^2
- (h^2 + k^2 = r^2)
36 - 12h + 64 - 16k = 0
100 - 12h - 16k = 0
12h + 16k = 100
Dividing both sides by 4,
3h + 4k = 25 (equation 4)
49 - 14h + h^2 + 49 - 14k + k^2 = r^2
- (h^2 + k^2 = r^2)
49 - 14h + 49 - 14k = 0
98 - 14h - 14k = 0
14h - 14k = 98
h + k = 4 (equation 5)
h = 7 - k
Substitute h = 7 - k to equation 4 and solve for k.
3h + 4k = 25 (equation 4)
3(7 - k) + 4k = 25
21 - 3k + 4k = 25
k = 25 - 21
k = 4
Substitute the value of k to equation 5 and solve for h.
h = 7 - k (equation 5)
h = 7 - 4
h = 3
Substitute the value of h and k to equation 1 and solve for r.
h^2 + k^2 = r^2 (equation 1)
3^2 + 4^2 = r^2
9 + 16 = r^2
r^2 = 25
r = 5
Hence, the equation of the circle that contains the points (0 , 0), (6 , 8), and (7 , 7) is (x - 3)^2 + (y - 4)^2 = 25.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes 4 to 5 no votes was to . If there were 5364 total votes, how many no votes were there?
Determine whether each relation is a function. (3,9),(11,21),(121,34),(34,1),(23,45)
Domain - { 3, 11, 121, 34 , 23 , } is domain of each relation is a function.
What is domain and range ?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.How are the domain and range determined?
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).Domain - { 3, 11, 121, 34 , 23 , }
Range - { 9, 21 , 34 , 1 , 45 }
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A grocery store sells a bag of 6 oranges for $5.64. How much would it cost for 8
oranges?
The cost of 8 oranges is $7.52
How to find the cost of 8 oranges ?The first step is to find the cost of one orange
6 oranges cost 5.65
1 orange= 5.64/6
= 0.94
Therefore the cost of 8 oranges can be calculated as follows
= 0.94×8
= 7.52
Hence 8 oranges cost $7.52
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The area of rectangle A is bigger than the area of rectangle B
Work out the lowest possible integer value of x.
A=
2x-3
5 cm
B
3 cm
X+2
The lowest possible integer value of x is 3 such that (x ≥ 3).
What is referred as the inequalities?An inequality depicts the relationship between two non-equal values in such an algebraic expression. Inequality symbols can indicate that one of the two variables is greater than, greater or equal to, equal to some other value.For the given question;
The area of rectangle A is bigger than the area of rectangle B.
The sides of the rectangle A are 2x-3 and 5 cm.
Area = length×breadth
Area A = (2x - 3)(5)
Area A = 10x - 15
The sides of the rectangle B are x = 2 and 3 cm.
Area = length×breadth
Area B = (x + 2)3
Area B = 3x + 6
As area B > area B
Then,
10x - 15 ≥ 3x + 6
Solving the inequality;
10x - 3x ≥ 6 + 15
7x ≥ 21
x ≥ 3
Thus, the minimum value of the x is 3 to make the area A bigger than Area B.
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What equation/inequality represents the following scenario? Product of two consecutive odd integers is less than 76, where b is the first odd integer
a) n(n+2)> with a line under 76
b) n(n+1)>76
c) n(n+1)<76
d) n(n+2)<76
The two consecutive odd integers are less than 76 is the numbers are 37 and 39.
Any integer's reverse and sum are both equal to zero.
A positive sum results from adding two positive numbers, whereas a negative sum results from adding two negative integers.
Take the absolute value of each integer, then subtraction, to obtain the total of a positive and a negative integer.
Let two consecutive odd numbers be x and x+2
According to question
⇒ x........... equation (1)
⇒ x+2........equation (2)
by adding equation 1 and 2
⇒ x+x+2=76
⇒ 2x+2=76
⇒ 2x=76-2
⇒ 2x=74
⇒ x=74/2
⇒ x=37
We apply the value of x=37 in equation (2)
⇒ x+2
⇒ 37+2
⇒ 39
so, the numbers are 37 and 39.
Therefore, the two consecutive odd integers are less than 76 is the numbers are 37 and 39
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Question 9 of 10
How many dimensions does a point have?
OA. Zero
B. Two
C. Three
D. One
SUB
Answer: A
Step-by-step explanation: took the quiz got it right
Consider the functions f(x) = 4x² - x and g(x) = 2x + 5.
f • g(-3) =
g • f(-3) =
Answer:
[tex]{ \tt{f•g(x) = 4(2x + 5) {}^{2} }} \\ = { \tt{4(4 {x}^{2} + 20x + 25)}} \\ = { \tt{ {8x}^{2} + 80x + 100}} \\ \\ { \tt{f•g( - 3) = 8 {( - 3)}^{2} + 80( - 3) + 100 }} \\ { \tt{f•g( - 3) = 72 - 240 + 100}} \\ { \tt{f•g( - 3) = - 68}} \\ \\ \\ { \tt{g•f(x) = 2( {4x}^{2}) + 5 }} \\ { \tt{ = {8x}^{2} + 5 }} \\ { \tt{g•f( - 3) = 8 {( - 3)}^{2} + 5}} \\ { \tt{g•f( - 3) = 77}}[/tex]
betty worked at the golf course during the summer after 8th grade. after working for 2 weeks she added her earnings to the gifts she got for graduation and found she had $750. after four more weeks of work she had a total of 870$.
Plss help immidiatly
What does the y intercept represent in this situation?
Write the equation in slope intercept form
The y-intercept is the amount she got as gifts during her graduation.
The equation in slope intercept form is $630 + $60b
What does the y-intercept represent?The slope intercept form is used to write equations for equations for linear equations with two variables. The graph for a slope intercept form is a straight line.
The form for slope intercept form is: y = mx + b
Where:
y = y coordinatem = slopex = x coordinateb = y interceptThe y-intercept is the constant. It represents the point where the slope touches the y-axis.
The first step is to determine how much are earnings are and how much the gift is.
The equations that would be used to determine this are:
a +2b = 750 equation 1
a + 4b = 870 equation 2
Where:
a = gift
b = amount earned weekly while working on the golf course
Subtract equation 2 from equation 1: 2b = 120
Divide both sides of the equation by 4: b = $60
Substitute for b in equation 1
a + 2(60) = 750
a + 120 = 750
a = 750 - 120
a = 630
The y-intercept is $630.
The equation in slope intercept form is: $630 + $60w
Where w is the number of weeks that Betty works.
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What is the property of 10+(-10)=0
Find each measure if m ∠ D G F=53 and m∠ A G C=40 .
m ∠ 4
Answer:
a
Step-by-step explanation:
i ink
Use square roots to solve the equation x2 = –100 over the complex numbers. Select any solutions that apply.
The solution using the square root property for given complex numbers would be x = 10i where i is an imaginary number.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
We have been given the equation of complex numbers x² = -100
Using the square roots property to solve the above equation
⇒ x² = -100
⇒ x = √-100
⇒ x = √(-1×10×10)
∵ i² = - 1 or i = √-1
Here i is an imaginary number.
⇒ x = 10(√-1)
⇒ x = 10i
Therefore, the solution of given complex numbers would be x = 10i where i is an imaginary number.
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