The biggest number you can make from the numbers 12, 1, 4 and 7 is given by:
336 = 12 x 1 x 4 x 7.
How to find the biggest number from the given numbers?The operation that leads to the bigger number is the power operation, however, as stated in the problem, you cannot use any powers in this problem.
After the power, the operation that leads to the highest numbers is the multiplication operations.
These are no constraints relating the symbols, only that each number cannot be used more than once, hence the biggest number is obtained multiplying all values, as follows:
12 x 1 x 4 x 7 = 336.
If one of the numbers had been a fraction with a greater denominator than numerator, the fraction should be divided, as dividing by a fraction is the same as multiplying by the inverse of the fraction.
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Juan Fuentes is a computer programmer. His annual salary is
$32,190.00. Benefits he receives consist of $1,881.73 in vacation time,
holidays worth $1,287.60, health insurance premiums of
$2,300.00 paid by the employer, Social Security of $1,995.78,
Medicare of $466.76, and unemployment insurance of $541.06.
a. What are the total benefits?
b. What is the rate of benefits?
In linear equation,$7185.33 is the total benefits.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +
$466.76 + $541.06
= $7185.33
the rate of benefits of Juan Fuentes = $1,287.60
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The correlation coefficient (r) between the number of volunteers x and the number of bags of trash collected y is 0.964.
What percent of the variation in the number of bags of trash collected can be explained by differences in the number of volunteers?
The correlation coefficient between the number of volunteers x and the number of bags of trash collected y, so the percentage of variation in the number of bags of trash collected is 92.92 %.
What is the Correlation coefficient?You may gauge how closely two variables are related by looking at their correlation coefficients. Pearson's correlation coefficient is the most often used of the several correlation coefficient types. Often employed in linear regression, Pearson's correlation (also known as Pearson's R) is a correlation coefficient. It's likely that you'll learn about Pearson's R first if you're just getting started in statistics. Actually, Pearson's is typically mentioned when someone mentions the correlation coefficient.
According to the question,
The correlation coefficient i.e., r between x and y is 0.964.
r = 0.964
Squaring on both sides :
r² = 0.964²
r² = 0.9292
Now, convert this into percentage form by multiplying it will 100.
⇒0.9292 × 100
= 92.92 %.
Hence, the percentage of the variation will be 92.92 %.
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"Complete the table" can i get some help with this pls and thank you
Find the missing number so that the equation has no solutions.
2 x + 4 = – 3 x – 18 + blank x
The value of x in the equation given is x = -4.4
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.
In this case, the value will be expressed by subtracting the variables that are given in order to get the other term. This will be:
2x + 4 = -3x - 18
Collect like terms
2x + 3x = -18 - 4.
5x = -22
Divide
x = -22 / 5
x = -4.4
This illustrates the concept of equations.
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Suki has placed $800 in an account that pays 4 percent interest compounded quarterly. at the end of two years (eight quarters), the balance in the account will be $ 0.08 . that means suki will have earned $ in interest during that time. (round your answers to the nearest cent.) what will be the balance in the account at the end of two years (eight quarters)? how much interest will suki have earned during that time? (round your answers to the nearest cent.)
The balance in the account at the end of two years is $864.
The interest earned by Suki during that time is $64.
The initial principal amount "P" is $800.
The interest rate "R" is 4%.
The interest is compounded quarterly.
This means the value of "n" is 4.
The time period for which the interest is earned is 2 years.
The formula for compound interest is :
A = P*[1 + (R/n)]^(n*t)
A = 800*[1 + (0.04/4)]^(4*2)
A = 800*[1 + 0.01]^(4*2)
A = 800*[1.01]^(8)
A = 800*1.08
A = 864
The total interest earned is the final amount minus the principal amount.
The total interest earned is $864 - $800.
The total interest earned is $64.
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On the 1:1000 scale plan, the length and width of the house are drawn as 2 cm and 1.5 cm.
a. Find the actual size.
6. Find the ratio of the area of the foundation of the house to the area on the floor plan.
Answer:
a. Actual size: 20 m x 15m
b. 1,000,000 : 1
Step-by-step explanation:
(a) Since scale is 1:1000, multiply both length and width on the floor pan to get actual length and width of house
a. Actual size
= 2 x 1000 cm x 1.5 x 1000 cm
= 2000 cm x 1500 cm
= 20m x 15m (since 1 m = 100 cm
(b) Area on plan = 2 x 1.5 = 3 cm²
Actual area = 2000 x 1500 = 3,000,000 cm²
Ratio of actual area to floor plan area
= 3,000,000 / 3 = 1,000,000 : 1
A contractor purchases 7 dozen pairs of padded work gloves for $99.96 . She incorrectly calculates the unit price as $14.28
per pair for the expense report. What is the correct unit price? What is the error?
The cost or unit price for purchasing each pair of work gloves is $1.19.
The cost of 7 dozen pairs of padded work gloves purchased by the contractor is $99.96.
The incorrect unit price calculated by the contractor is $14.28 per pair.
Now, we know 1 dozen is equal to 12 units.
Therefore,
The number of pairs of gloves purchased = 7 × 12 = 84
As the total cost is $99.96, the cost of each pair will be:
= $99.96 ÷ 84
= $1.19
The error by the contractor was that she didn't consider the word dozen in his calculation. She simply divided the total cost by 7 to calculate the price per pair.
The unit price of purchasing each pair of work gloves is $1.19.
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Point-slope form: y minus y 1 = m (x minus x 1).
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Choose the equation of the line.
y = 2x – 7
y = 2x + 11
y = –4x + 14
y = 3x +14
Help me please!!
What are the terms of each expression?
4x + 3z
Answer:
4x and 3z are the only 2 terms in this esxpression.
Calculate rates (backwards)
If you pay $60 for bulk rice, at $4.00 / kg, how many kilograms can you buy?
Answer:
15kg
Step-by-step explanation:
$60 divide by $4 kg
60/4=15
A tissue factory produces 3,876 tissues a day. How many tissues does it produce after 7 days?
Answer:
27,132 tissues
Step-by-step explanation:
if it produces 3,876 tissues a day, and a week has 7 days, then the answer would be 3,876 x 7=27,132 tissues
Answer:
27132 tissues
Step-by-step explanation:
everyday 3876 tussues are made
so the equation would be 3876×7 to get how many tissues are made in 7 days
Find the inverse of f(x) = 12x - 3
ANSWER
[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]EXPLANATION
We want to find the inverse of the function given:
f(x) = 12x - 3
First, replace f(x) with y:
y = 12x - 3
Now, make x the subject of the function:
y + 3 = 12x
[tex]\begin{gathered} \Rightarrow\text{ x = }\frac{y}{12}\text{ + }\frac{3}{12} \\ x\text{ = }\frac{y}{12}\text{ + }\frac{1}{4} \end{gathered}[/tex]Now, replace x with f-1(x) and y with x:
[tex]f^{-1}(x)\text{ = }\frac{y}{12}+\frac{1}{4}[/tex]That is the inverse function.
Scarlett sells designer ponchos. The revenue, RRR, she makes from selling a batch of nnn ponchos is given by the function R(n)=20nR(n)=20nR, left parenthesis, n, right parenthesis, equals, 20, n, and the expenses, EEE, that she incurs from producing a batch of nnn ponchos is given by the function E(n)=10\cdot \sqrt{n}E(n)=10⋅
n
E, left parenthesis, n, right parenthesis, equals, 10, dot, square root of, n, end square root.
Let PPP be the total profit Scarlett makes from producing and selling a batch of nnn ponchos.
Write a formula for P(n)P(n)P, left parenthesis, n, right parenthesis in terms of R(n)R(n)R, left parenthesis, n, right parenthesis and E(n)E(n)E, left parenthesis, n, right parenthesis.
P(n)=P(n)=P, left parenthesis, n, right parenthesis, equals
Write a formula for P(n)P(n)P, left parenthesis, n, right parenthesis in terms of nnn.
Scarlett should sell more than ¼ of batch of ponchos to make the profit.
Given,
The revenue made by Scarlett from selling batch of ponchos, R = 20n
The expenses she incurs from producing a batch of ponchos, E = 10√n
The total profit, P = R - E
= 20n - 10√n
Now,
Profit is earned when Revenue > Expenses
20n > 10√n
÷10 ÷10
2n > √n
(2n)² > (√n)²
4n² > n
4n² - n > 0
n(4n - 1)> 0
n > 0 and 4n - 1 > 0
n > 1/4
That is, Scarlett should sell more than ¼ of batch of ponchos to make the profit.
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How do I find simple interest? I am currently working on a CYU that requires this information. Thank you!
think of all the things s you like
graph a linear function is shown.
Which word describes the slope of the line?
O positive
O negative
O zero
O undefined
Word (C) zero describes the slope of the line of the given graph of the linear function.
What is a graph of a linear function?Function in Linear A straight line on the graph has the expression or formula y = f(x) = px + q. One independent and one dependent variable are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable.So, we can infer from the provided graph that its equation is:
y = -3Which is also readable as:
y = 0 × x - 5Putting it into comparison with the slope-intercept form:
y = mx + bWe will obtain a slope of 0.
Therefore, word (C) zero describes the slope of the line of the given graph of the linear function.
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The correct question is given below;
graph a linear function is shown.
Which word describes the slope of the line?
A. positive
B. negative
C. zero
D. undefined
Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y -axis of the graph of f(x)=(2x+1)^2-4 . Write a rule for g .
The rule for the function g(x) is (2x + 5)² - 5.
We are given a function f(x). The function f(x) is defined as given below :
f(x) = (2x + 1)² - 4
A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.
We first need to do a translation with 2 units left.
The translation is given by f(x + 2).
f(x + 2) = (2x + 5)² - 4
We now need to do a translation with 1 unit downwards.
The translation is given by f(x + 2) - 1.
f(x + 2) - 1 = (2x + 5)² - 4 - 1
f(x + 2) - 1 = (2x + 5)² - 5
The definition of the function is given below :
g(x) = (2x + 5)² - 5
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This shape is made up of one half-circle attached to a square with side lengths 11 inches. You can use 3.14 as an approximation for π. help i don't know it
The approximate perimeter of the entire shape is 50.27 inches.
How to find the perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the figure.
Therefore, the perimeter of the entire shape can be calculated as follows:
The shape is made of three sides of a square and half a circle.
Therefore,
circumference of the semi circle = πr
r = 11 / 2 = 5.5 inches
circumference of the semi circle = 5.5π
Hence,
perimeter of the shape = 11 + 11 + 11 + 5.5π
perimeter of the shape = 33 + 5.5(3.14)
perimeter of the shape = 33 + 17.27
Therefore,
perimeter of the shape = 50.27 inches
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annarose read 93.50 books in 8.5 months. Her favorite book is the outsiders. At that rate how many books does she expect to read annually?
number sentence 1:
number sentence 2:
At the unit rate of reading 93.5 books in 8.5 months, Annarose expects to read 132 books annually.
What is the unit rate?The unit rate is the ratio or speed that Annarose reads books.
From her established unit reading rate, she reads 11 books in a month.
The unit rate is computed by ensuring that the denominator becomes 1 after the division operation.
The number of books she read in 8.5 months = 93.5 books.
The number of books she can read in 1 month = 11 books (93.5/8.5).
The number of books she can read in 12 months = 132 books (11 x 12).
Thus, given Annarose's reading unit rate, she expects to read 132 books annually, at an average of 11 books every month.
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f(x)=5x+10 solve when f(x)=20
When f(x) = 20
Then
5x + 10 = 20
Therefore
5x=20-10=10
x = 10 / 5 = 2
x= 2
f(x)=√x+11. Find the inverse of f(x).
O A. f¹(x) = x³ – 11
O B. f¹(x) = (x - 11)³
O c. f¹(x) = x³ + 11
O D. f¹(x) = (x +11)³
Answer: Your answer would be C: f¹(x) = x³ + 11
Give the domain and range of each relation below. (help please)
Answer:
Domain is (-infinity, infinity), range is (-infinity, 0]
Step-by-step explanation:
The x values are infinite on both sides, but the y values are not. Let me know if you want me to explain more :)
Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year.
The interest earned by Ryan is $131.44 and the interest earned by Brian is $32.86 .
In the question,
it is given that
amount deposited by Ryan = $775
time for which the amount is deposited = 4 years
rate at which the amount is deposited = 4.24%
So the simple interest = (p*r*t)/100
= (775 * 4.24*4 ) /100
= 13144/100
= 131.44
amount deposited by Brian = $775
time for which the amount is deposited = 1 years
rate at which the amount is deposited = 4.24%
So the simple interest = (p*r*t)/100
= (775 * 4.24 * 1 ) /100
= 3286/100
= 32.86
Therefore , the interest earned by Ryan is $131.44 and the interest earned by Brian is $32.86 .
The given question is incomplete , the complete question is
Ryan deposits $775 in an account that pays 4.24% simple interest for four years. Brian deposits $775 in an account that pays 4.24% simple interest for one year. Find the interest earned by both Ryan and Brian ?
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Seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do at least 3 jacks occur?.
In 193 selections at least 3 jacks occur.
Combination or permutation?To decide whether to use combination or permutation, we need to look at whether the order matters, as follows:
Order matters: permutation is used.Order does not matter: combination is used.In the context of this problem, the order in which the cards are chosen is not important, hence a combination is used.
The number of combinations of x elements from a set of n elements is given according to the formula presented below.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
There are two cases in which at least 3 jacks occur, as follows, considering that a standard deck has 4 jacks:
3 Jacks selected from a set of 4, and one non Jack card selected from a set of 48.4 Jacks cards from a set of 4.Hence the number of ways to choose the cards is calculated as follows:
[tex]C_{4,3}C_{48,1} + C_{4,4} = 4(48) + 1 = 193[/tex]
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The area of a circle is 25 pi ft 2.
what is the answer to -9+7x < 47
The solution of the inequality - 9 + 7x < 47 will be;
⇒ x < 8
What is mean by Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is;
⇒ - 9 + 7x < 47
Now, Solve the expression as;
The inequality is;
⇒ - 9 + 7x < 47
Solve as;
⇒ - 9 + 7x < 47
Add 9 both side;
⇒ - 9 + 7x + 9 < 47 + 9
⇒ 7x < 56
Divide by 7, we get;
⇒ 7x/7 < 56/7
⇒ x < 8
Therefore, The solution of the inequality - 9 + 7x < 47 will be;
⇒ x < 8
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Is this right?
Look at this graph.
What is the equation of the line in slope-intercept form?
Answer:
I think the answer is (3,10) sorry if I got this wrong!
Step-by-step explanation:
Estimate the difference by rounding each number
to the nearest hundredth: 0.076 -0.011
A 0.08
B 0.06
C 0.05
D 0.07
Answer:
answer is D= 0.07
Step-by-step explanation:
The equation:
0.076 - 0.011
By rounding to the nearest hundredth
0.076 = 0.08
0.011 = 0.01
=0.08-0.01
=0.07
how much will Yoona charge to walk 8 dogs
Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.
How to find the amount to be charged?First, find the pattern in the amount that Yoona charges to walk each additional dog.
Additional cost to walk 2 dogs:
= 40 - 37.25
= $2.75
Additional cost to walk 3 dogs:
= 37.25 - 34.50
= $2.75
Additional cost to walk 4 dogs:
= 34.50 - 31.75
= $2.75
Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:
= 40 - (7 x 2.75)
= 40 - 19.25
= $20.75
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the length of a small garden is 12.64 feet. the width of the garden is 14 feet. samuel wants to fence the garden in on all sides. he has 50 feet of fencing. calculate the perimeter of the garden to determine if samuel has enough fencing.
Answer:
He does not have enough for fencing the garden
Step-by-step explanation:
The garden is in the shape of a rectangle
The perimeter of a rectangle of length L and width W is given by
P = 2 (L + W)
Since we are given L = 12.64 ft and W = 14 ft, the perimeter of the garden is
2 ( 12.64 + 14) = 2 (26.64) = 53.28 feet
Since Samuel only has 50 feet of fencing, there is not enough to fence. He is short by 3.28 feet
Devon records 4 hours of reality shows on her dvr. she records comedy shows for 3/8 of that amount of time. devon watches all the reality and comedy shows in half hour sittings.
If Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
Number of hours the Devon record the reality shows = 4 hours
she records comedy shows for 3/8 of that amount of time
The number of hours taken to record the comedy show = (3/8)×Number of hours the Devon record the reality shows
Substitute the values in the equation
= (3/8)×4
= 12/8
= 1.5 hours
Hence, if Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
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