[tex]Consider \: the \: sequence \: u_{n} \\ u_{n} \: appears \: to \: be \: arithmtic[/tex]
Quick Proof:[tex]u_{4}-u_{3}=u_{3}-u_{2}=... \\ 19 - 13 = 13 - 7 = .. \\ 6 = 6 = ...[/tex]
[tex]u_{n} \: is \: arithmetic \: with \: d = 6 \:and \: u_{1} = 1 \\ [/tex]
[tex]u_{n} = u_{1}+(n-1)d \\ u_{100} = 1 + (100 - 1)6 \\ u_{100} = 595[/tex]
How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417
we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
We are given two expressions:
6.255 × 10¹⁰ and 1.5 × 10⁸
We need to tell that how much times is 6.255 × 10¹⁰ larger than 1.5 × 10⁸.
We will do this with the help of division.
So, we get that:
= 6.255 × 10¹⁰ ÷ 1.5 × 10⁸
= 6.255 × 10¹⁰⁻⁸ ÷ 1.5
= 6.255 × 10² ÷ 1.5
= 625.5 ÷ 1.5
= 417
Therefore, we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
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what is the coordinate rule and transformation?
According to the given data, It is Transformation of rotation by 180°.
Transformations are changes that appear in the shapes present on a coordinate plane by rotation, reflection or translation. A function, f, that maps to itself is called the transformation, that is if f = X → X'. This transformation can be any one of the translation, rotation, reflection, and dilation or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.
The transformation that rotates each point in the shape at a certain number of degrees around that point is called transformation of rotation. The shape rotates counter-clockwise when the degrees value is positive and it rotates clockwise when the degrees value is negative. The general rules for transformation of rotation about the origin are given below,
To rotate 90º: (x,y) → (-y, x)
To rotate 180º (x,y) → (-x,-y)
To rotate 270º (x,y) → (y, -x)
given data: preimage → image
R( -4, 3 ) changes to R'( 4,-3 )
S( -1, 3 ) changes to S'( 1, -3 )
T( -4, 1 ) changes to T'( 4,-1 )
As we can notice similar trend in the data given in the question like 180° rotation, Thus we can conclude that the coordinate rule and transformation is Transformation of rotation.
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On a map every 0.5cm represents 25km. If London is 454KM away from Paris, about how far apart from each other do the cities appear on the map?
Evaluate the expression when g=72 and h=4
9/g-h
Answer:
4
Step-by-step explanation:
Given : g=72 and h=4
Then
[tex]\frac{g}{9} - h = \frac{72}{9} - 4[/tex]
[tex]\large \text{= 8 - 4}[/tex]
[tex]\large \text{= 4}[/tex]
Billy had two-thirds of a pizza left after dinner. Later that night, he ate one-fourth of it for
a snack. How much of the pizza did he eat for a snack
According to the given statement the fraction of pizza did Billy eat for a snack = 1/12
what is a fraction?A fraction is a subset of a bigger whole. In arithmetic, the number is expressed as a quotient, which represents the numerator divided by that of the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in both the numerator and the denominator.
What is the significance of a fraction as a number?A fraction, often known as a fractional number, is used to represent a portion of a whole. Fractions are made up of two numbers: a numerator (the number above the line) as well as a denominator (which is below the line). The denominator is the number of equal pieces that anything is divided into.
According to the given data:Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack =
Now ,
total size of pizza be = 1
Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack = total size of pizza -(2/3 of pizza + later he ate)
= 1 - (2/3 + 1/4)
= 1 - (11/12)
= 1/12
the pizza did Billy eat for a snack = 1/12
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The tourist bureau of the Hawaiian Islands surveyed a sample of 5 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows.
7, 8, 4, 9, 7
Find the standard deviation of this sample of numbers. Round your answer to two decimal places.
The standard deviation of the sample number is 1.67.
According to the question we have been given a sample of 5 United states tourist.
We need to find the standard deviation of the sample. The formula for the standard deviation is given as :
[tex]\sigma[/tex] = √∑( xₙ - u)²/N
where σ = standard deviation
xₙ = each value of the sample
N = number of sample
u = mean
First the mean = (7+8+4+9+7)/5
= 7
∑( xₙ - u)² = (7 - 7)² + (8-7)² + (4-7)² + (9-7)²+ (7-7)²
= 0² + 1² + (-3)² + 2² + 0²
= 1 + 9 + 4
= 14
Substituting the value sin the given formula we get
σ = √(14/5)
= √2.8
= 1.67
Hence the standard deviation of the sample number is 1.67
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What is the complete factorization of 4x² - 25?
Answer: (2x+5)(2x-5)
Step-by-step explanation:
4x² - 25=
2²x² - 5²=
(2x)² - 5²=
(2x)(2x) - 5(5)=
(2x)(2x) - 5(2x) + 5(2x) - 5(5)=
2x(2x-5) + 5(2x-5)=(2x+5)(2x-5)
Write each word in decimal form I need help
Please!!!
Answer:
1. 12.54
2. 6.016
3. 0.162
4. 20.05
Step-by-step explanation:
Answer:
1. 12.54
2. 6.016
3. 0.162
4. 20.05
Explanation:
(I'm sorry if this sounds bad. I wrote it at two in the morning. you can go ahead and skip this if you want.)
It is common to discuss numbers when writing academic or professional documents.
It may be appropriate to spell out a number with a decimal if you're sharing statistics or explaining a mathematical concept.
Learning how to properly write decimals can help you create documents that meet expectations.
The proper way to convert worded forms into decimals:
Let's do an example.
Twenty-three and six-tenths,
We are given four numbers.
It is easy to see that Twenty-three equals 23.
But what about the decimal?
Decimals in worded form are always after "and," and they always have "th(s)" at the end, rather than what would appear there in regular numbered word form.
So, given "six-tenths," it is pretty simple.
Six-tenths=0.6
The reason for this is that the word "tenths," won't make it 0.16, because, in decimals, we always skip what would be oneths. The reason for this is; is that this only makes sense if there were "oneths," and dividing a "whole" into "oneths" resulted in the "whole"... So that spot was already taken.
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Find F of g of h given that f(x)=1/x,g(x)=x^3,h(x)=x^2+2
finding the slope of (1, 1), (-1,-4) from two points
Answer:
2.5
Step-by-step explanation:
The difference between the Y axis is 2, and the difference between the X axis is 5 so you divide 5 by 2 to get 2.5
Put y = -2/3x+5 in standard form
The standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
What is the standard form of the linear equation?The standard form of a linear expression is expressed as;
Ax + By = C
Where A and B are the coefficient of x and y respectively and C is the constant term.
Given the equation in the question;
y = (-2/3)x + 5
Multiply both sides by 3
y = (-2/3)x + 5
3(y) = 3((-2/3)x + 5 )
Apply distributive property
3(y) = 3((-2/3)x + 5 )
3y = 3(-2/3)x + 3( 5 )
3y = -6/3x + 15
3y = -2x + 15
Now, move all terms containing variables to the left side of the equation
3y = -2x + 15
Add 2x to both sides
3y + 2x = -2x + 2x + 15
3y + 2x = 15
Reorder 3y and x
2x + 3y = 15
Therefore, the standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
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Elsa used the multiplication table below to write ratios that are equivalent to 12-4
What is the missing number?
A.6
B.18
C.24
D.36
PLS HELP IM TIMED!!!!
The missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
_______________________________
It is given that Elsa used the multiplication table below to write ratios that are equivalent to 12-4 and one number is missing from the given ratios, we need to find that missing number.
Now, first of all let us understand what are equivalent ratios;
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Furthermore, in the given question we are given one ratio that is;
=> 12:4 which can also be written as,
=> 3:1
Now, let us assume that the other ratio is x:y than;
=> x:y
So, let us compare both the ratios as they are equivalent ratios;
=> x:y = 3:1
To calculate the other ratio, we need to divide it by 12 so that we get the equivalent ratio;
=> x/12 = 12/4
=> x/12 = 3
=> x = 12 × 3
=> x = 36
So,
=> 36/12 = 12/4
=> 3/1 = 3/1
Therefore, the missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
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Show that the following points are the vertices of a square
(2, 2), (-2, 2), (-2,-2), (2,-2)
Check the picture below.
notice, sides are equal, opposite sides are perpendicular to their counterparts.
A function is given.
f(x) = 5 − 3x^2; x = 3, x = 3 + h
(a) Determine the net change between the given values of the variable.
The net change between the given values of the variable is; - 3x² - 6xh - 3h² + 23
What is the Net Change of the Function?
We are given the function;
f(x) = 5 - 3x²
x = 3
x = 3 + h
The net change is just looking for the difference between f(3) and f(3 + h). Thus, we will evaluate the function at x = 3 and x = 3 + h and then calculate f(3 + h) - f(3).
f(3 + h) = 5 - 3(x + h)²
= 5 - 3x² - 6xh - 3h²
f(3) = 5 - 3(3)²
f(3) = 5 - 27
f(3) = -18
Net Change = f(3 + h) - f(3)
= 5 - 3x² - 6xh - 3h² + 18
= - 3x² - 6xh - 3h² + 23
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Find the area under the curve
y = f(x) over the stated
interval.
f(x)=3√x; [1,4]
f(x) = x-2/3; [1,27]
Answer:
Areas under the curve
[tex]f\left(x\right)=3\sqrt{x}[/tex], [tex][1,4][/tex] : 14 [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex] , [tex][1,27]:\;\;[/tex] [tex]\bold{\frac{1040}{3}}[/tex]Step-by-step explanation:
The area under a curve on an interval [a, b] is the integral of the function computed in this interval : [tex]A=\int _a^b|f\left(x\right)|dx[/tex]
(1) For [tex]f\left(x\right)=3\sqrt{x}[/tex] with [tex]a=1,\:b=4[/tex]
area [tex]=\int _1^4\left3\sqrt{x}\;dx[/tex] = [tex]3\cdot \int _1^4\sqrt{x}dx[/tex] =
[tex]\int \sqrt{x}[/tex] = [tex]\frac{2}{3}x^{\frac{3}{2}}[/tex]
[tex]3\cdot\frac{2}{3}x^{\frac{3}{2}}[/tex] = [tex]2x^{\frac{3}{2}}[/tex]
At [tex]x = 4,[/tex] we get [tex]2\cdot4^{\frac{3}{2}}[/tex] = [tex]2\cdot8 = 16[/tex]
At [tex]x = 1,[/tex] we get [tex]2\cdot1^{\frac{3}{2}}[/tex] = [tex]2.1 = 2[/tex]
So area under the curve for [tex]f(x) = \:3\sqrt{x}[/tex] in the interval [tex][1, 4] = 14[/tex]
(2) [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex]
[tex]\int \:x-\frac{2}{3}dx[/tex] = [tex]\int \:xdx-\int \frac{2}{3}dx[/tex] [tex]=\frac{x^2}{2}-\frac{2}{3}x[/tex]
[tex]\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364[/tex]
[tex]\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}[/tex]
[tex]\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}[/tex] (Answer)
Question 6 of 15, Step 1 of 1
Correct
Jessie recently drove to visit her parents who live 385 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into
some bad weather). If Jessie spent a total of 11 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Answer: 84 mph 60 mph
Step-by-step explanation:
Let her average speed to home was x mph
Hence, the average speed to her parents was (x+24) mph
Thus:
Jessie spent for the trip to her parents' house: 385/x hours
Jessie spent for the trip to home: 385/(x+24) hours
[tex]\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840[/tex]
[tex]\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour[/tex]
[tex]60+24=84\ miles\ her\ hour[/tex]
Problem is In the photo.
please help I’m confused :/
what is the combined length of all the buttons longer than 1 inch
please help tysm
The combined length of all the buttons longer than 1 inch is 2 3/8 inches.
How to calculate the fraction?It should be noted that from the information, we want to calculate the combined length of all the buttons longer than 1 inch.
This will be:
= 1 1/8 + 1 1/4
= 1 1/8 + 1 2/8
= 2 3/8 inches
Therefore, the combined length of all the buttons longer than 1 inch is 2 4/8 inches.
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What value of d makes the equation -2 +3i+ 12i = 9i-(2-di) true?
Answer:
d = 6
Step-by-step explanation:
-2 +3i+ 12i = 9i-(2-di)
-2 + 15i = 9i - 2 + di
-2 + 15i = -2 + 9i + di
6i = di
6 = d
The general admission rate to an amusment park is 12$. Each ride ticket cost $2.75 . Which if the following reprrsents the cost for a day at the amusement park as a function of the number of ride tickets purchased ?
The cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the function of the number of ride tickets purchasedThe given parameters are:
Admission rate to the amusement park = $12
Cost of each ticket = $2.75
Let the number of tickets be x, and the total cost be y
So, the function can be represented as
y = Admission rate to the amusement park + Cost of each ticket * x
This gives
y = 12 + 2.75 * x
Evaluate the product
y = 12 + 2.75x
Hence, the cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x
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Help Please!
1 3/5x-3/4
Answer:
1
- 1 -------
5
Step-by-step explanation:
3 3
1 ------ × - -------
5 4
8 3
------ × - -------
5 4
8(4) 3(5)
------ × - -------
5(4) 4(5)
32 15
------ × - -------
20 20
--------------------------------------------------------
32 × (-15) = -480
20 × 20 = 400
--------------------------------------------------------
480 ÷ 80
- -------
400 ÷ 80
6 1
- ------- or - 1 -------
5 5
I hope this helps!
The ratio of white tiles
to shaded tiles is 5 to 6.
You have a total of 44
tiles. How many tiles
are shaded in all?
The number of white tiles is 20 and the number of shaded tiles is 24
The ratio of white tiles to shaded tiles is given as 5:6
Total number of tiles = 44 tiles
Let x be the number of shaded tiles then the number of white tiles will be 44-x
Formualting the equation using the above variables we get:
Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile
= 44-x/x = 5/6
= 264-6x = 5x
= 264 = 11x
x = 24
Hence, the number of white tiles is 20 and the number of shaded tiles is 24
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if I worked all year and made $ 500000how much would i of made each month ??
The cost of packing a box of chocolates is given by x², where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the
weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?
Step-by-step explanation:
The answer to the problem is as follows:
For a box with x chocolates, the cost of packaging is C(x) = x^2 and the
weight is W(x) = x + 2.
Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).
I hope my answer has come to your help. God bless and have a nice day ahead!
Help 10 points and brainliest
Answer:The answer is 10/6 or 1 4/6 or 1 2/3.
Step-by-step explanation: you can do either one and it will be equal the same.
log64+log32_log128
express the given between
Step-by-step explanation:
log64 + log32 - log128
= log 2⁶ + log 2⁵ - log 2⁷
= 6log2 + 5log2 - 7log2
(sorry I can't continue from here... someone else can help...maybe?...sorrrrryyy)
If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months? Round your answer to the nearest cent.
The Cost value of the car after 9 months is $55797.
According to the statement
We have to find that the value of the car after 9 months.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months
Then
The depreciates linearly at a rate of 19% per year
It means the 19% of the value of the car is a :
Value of the rate of the depreciates = 19/100*65,076
Value of the rate of the depreciates = 0.19*65,076
Value of the rate of the depreciates = 12364.44
Value of the rate of the depreciates = 12365
It is he value decreased in a 12 months
Then
The value decreased in one month = 12365 /12
The value decreased in one month = 1030.41
The value decreased in one month = 1031.
Then
The value decreased in 9 months = 1031*9
The value decreased in 9 months = 9279
Then
The remaining value of the car = 65,076 - 9279
The remaining value of the car = 55797
So, The Cost value of the car after 9 months is $55797.
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If Var(Z)=4, find the variance of Y if Y=3Z+2.
Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:
Var(Y) = 36.
What happens to the variance of a variable when the variable is multiplied by a constant and when it is added to a constant?The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.
Hence:
When a constant is multiplied by the variable, the mean is multiplied by the constant and so are the differences squared, hence the variance is squared.When a constant is added to the variable, the constant will also be added to the mean and to each variable, hence the differences squared will remain constant and so will the variance.These two bullet points above can be resumed by the equation given as follows:
Var(aX + B) = a²Var(X).
Hence:
Var(3Z + 2) = 9Var(Z).
Hence the variance of Y is given as follows:
Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.
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How is the worth of currency determined?
Imports and exports
The gold standard
Trade
Each nation’s economic health as a whole
Answer:
1
Step-by-step explanation:
Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.
Estimate the distance you can travel in 6 hours 55 minutes if you drive on average 51 miles per hour. Round your answer to the nearest mile
- - - - - - - - - - - - - - - - - - - - - - - -
Heyo! Your explanation is below, if necessary.
- - - - - - - - - - - - - - - - - - - - - - - -
If it's 51 miles per hour, simply multiply the distance by the number of hours.
51 x 6 = 306
51 x 55/60 = 46.75
Now, add the products.
306 + 46.75 = 352.75
- - - - - - - - - - - - - - - - - - - - - - - -
Have a great day/night!
~pinetreee :)