Answer: £261
Step-by-step explanation: Subtracting 429 from 690 will give you 261 which is the remaining amount needed to purchase the computer.
Find F of g of h given that f(x)=1/x,g(x)=x^3,h(x)=x^2+2
if I worked all year and made $ 500000how much would i of made each month ??
What is a variable? And when a question asks “What variable is plotted along the X axis and Y axis?” what do i say.
A variable is a term used to express the unknown value or quantity.
A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.
For example: let x denote the number of hours taken by Sam to complete his work.
When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.
The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.
Therefore, a variable is a term used to express the unknown value or quantity.
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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.
4.3 + 5 3/5 can you help me
Answer:
Step-by-step explanation:
4.3 +5 3/5
4 30/100+ 5 3/5
4 3/10 + 5 3/5
4 3/10 + 5 6/10
9 9/10
Does this help if you have any questions about this question or others I’d be happy to help
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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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.
NEED YOUR HELP WITH THIS!!
Answer:
the tenth term is 100: 10,20,30,40,50,60,70,80,90,100
the fourth term is 12: 4,6,8,12
the third term is 1/2: 1/8,1/4,1/2
i really don't know how to explain. i don't know if i am correct but i tried
A. she should find the squares of numbers between 7.4 and 7.5
Answer:
she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5
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!
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?
Use compatible numbers to estimate the whole number quotients 5320/61?
The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.
On this note, since the numbers can be written as follows;
= (53.2 × 100)/(0.61 × 100)
= 53.2/0.61
The estimate can therefore be determined by evaluating;
= 53/0.6
= 88 remainder 1.
Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.
Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
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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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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)
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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A wall is 3 yards and 10 inches
long. What is the length of the
wall in inches?
Answer:
118 inches
Step-by-step explanation:
This is a conversion problem, so first we will need to change the yards to inches
3y=(3ft/1y)=9ft
9ft=(12in/1ft)=108in
add the 108 inches to the 10 inches
118 inches length
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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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]
is 2 to the negative 3rd power rational
Answer:
-8
Step-by-step explanation:
Yes, it is rational. It's an integer.
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
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]
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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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.
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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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 is the reciprocal of 1 3/4 as a fraction
Answer:
4/7
Step-by-step explanation:
[tex]1 \frac{3}{4}=\frac{7}{4}[/tex]
So, the reciprocal is 4/7.
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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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!
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)
View the image below and solve.