Answer:
250 minutes.
Step-by-step explanation:
1/5=50/x
cross product
5*50=1*x
250=x
Which linear function represents the line giving by the point slope equation y-2=4(x-3)
The linear function that represents the line giving by the point slope equation y-2=4(x-3) is f(x) = 4x - 10
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Also note that f(x) = y
Isolate the y then add 2 from both sides:
y - 2 = 4(x-3)
y - 2+ 2 = 4(x-3)+2
y = 4(x-3) + 2
Note that the equation is : y = 4(x-3) + 2
Now Distribute 4 to all terms within the parenthesis
y = 4(x-3) + 2
y = 4x - 12 + 2
Simplify. Combine like terms
y = 4x - 10 ; or f(x) = 4x - 10.
Hence, The linear function that represents the line giving by the point slope equation y-2=4(x-3) is f(x) = 4x - 10
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suppose that you decided to go skiing this weekend. it costs $50 for transportation, $50 for lodging, $50 for ski lift tickets and you could have earned $100 as a waiter at a job you love so much you would do it as a volunteer if you had nothing better to do. what is the total cost of the ski weekend?
The total cost of the ski weekend comes out to be $250.
What is the total cost of expenses?Total expenses for just a given period are the sum of all gross cash expenditures and furthermore any pending subsidiary items like operating expenses, reward fees, interest, & taxes.
Some key features regarding the total cost are-
In economics, total cost is the sum of all costs a company incurs in generating a certain output level. It is generally expressed as the sum of all fixed costs (for example, the costs of a construction lease and heavy machinery) that do not vary with the amount of output produced and all variable costs (for example, the costs of labor and raw materials) that change with the of output. If fixed costs are not changed (for example, by acquiring a larger building or more industrial equipment), the rate at which of variable costs to increasing output will become progressively greater with in long run, due to decreasing returns on additional units of production.Now, according to the question;
The cost of all spending are-
$50 for transportation
$50 for lodging
$50 for ski lift tickets
$100 for waiter.
Total cost = transportation cost + lodging cost + ski lift tickets cost + waiter cost.
Total cost = $50 + $50 + $50 + $100
Total cost = $250.
Therefore, the total spending in the ski weekend are $250.
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a bucket holds 10 liters.about how many gallons does the buket hold?round to the nearest tenth,if necessary
For the bucket to hold the 10 litres, then it s said to contains 2.64 gallons.
What is termed as units and unit conversion?A multi-step procedure encompassing multiplication as well as division by a mathematical factor is known as unit conversion. We can measure weight, length, and temperature in a variety of ways.
Before performing any arithmetic operations on 2 variables, we should always convert all of their values to a common unit.Unit conversion is the process of converting one unit of measurement to another measurement unit for the same amount by multiplying/dividing by conversion factors.Scientific notation is used to express the units, which are then converted into numerical based on the quantities.Now, per the given question;
The total amount a bucket contains is 10 litres.
Noe, the conversion of litres in gallons is given as;
1 litres = 0.26 gallons.
Thus, 10 litres = 10×0.264
= 2.64 gallons.
Therefore, the bucket will contain 2.64 gallons.
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What is the relationship of the edge length of the cube
to its volume?
Volume is equal to [tex]a^{3}[/tex] where an is the width or length of its edges.
The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes [tex]centimetres^{3}[/tex], [tex]metres^{3}[/tex], [tex]inches^{3}[/tex], [tex]feet^{3}[/tex], etc.
A solid three-dimensional figure with 6 square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square shape means that all of its sides are square, and as a result, all of its edges would be of equal length. As a result, the cube's length, breadth, or height are all equal.
If a cube's length, breadth, and height are equal to "a," then;
Cube volume = a[tex]\times[/tex]a[tex]\times[/tex]a.
Therefore, Volume of cube is [tex]a^{3}[/tex] where a is the length of the edge.
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What is the slope of the line that passes through the points (5, -6) and (9, -6) Write your answer in simplest form.
Answer:
slope=y2-y1/x2-x1
=-6-(-6)/9-6
=0/3
any fraction in which numerator is 0 is 0.
Graph the image of V(0, -2) after a rotation 180° clockwise around the origin.
Greetings from Brasil...
For rotation, we can use the expression:
V(X; Y) → V'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)Let rotate 180° - specifically for this angle, 180°, either counterclockwise or clockwise
SEN 180 = 0 and COS 180 = - 1
V(X; Y) → V'(- X; - Y)
V(0; - 2) → V'(0; - (- 2))
V'(0; 2)___________________________________
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Cho tam giác ABC vuông tại a đường cao AH biết AB = 6 cm và diện tích tam giác ABC bằng 24 cm². Tính độ dài các đoạn thẳng AC BC AH
Answer:
AC = 8
BC = 10
AH = 4.8
Step-by-step explanation:
A = 1/2(AB)(AC)
24 = 1/2(6)(AC)
AC = (24)(2)/(6) = 8
BC^2 = AB^2 + AC^2 = 6^2 + 8^2 = 36 + 64 = 100
BC = 10
A = 1/2(AH)(BC)
24 = 1/2(AH)(10)
AH = (24)(2)/(10) = 48/10 = 4.8
Answer please, thanks.
Answer:2
Step-by-step explanation:
Riley bought 1.52 pounds of raisins and 1.08 pounds of prunes for $6.50. The raisins and prunes cost the same price per pound. What is the price per pound for the dried fruit? Show all work .
Answer:
$2.08 per pound
Step-by-step explanation:
1.52+1.08= 2.6pound
6.50/2.6=$2.5 per 2.6 Ibs
(turn the pound to a whole number)
2.6/2= 1.3 so 2,6/1.3= 2Ibs
(what you do to one side must be done to the other)
$2.5/1.3 =2.08
Select all the polynomials that have (x - 4) as a factor.
a
x3 - 13x - 12
b
x3 + 8x2 + 19x + 12
c
x3 + 6x + 5x -12
d
x3 - x2 - 10x - 8
e
x2 - 4
Polynomials which have (x-4) as a factor are a. x³ - 13x - 12 = 0 and c. x³ + 6x + 5x - 12 = 0.
What is a polynomial ?An algebraic equation having two or more than two terms is called a polynomial.
According to the given question we have determine which of the following polynomials have (x-4) as a factor.
One way is factoring each of these polynomials.
Another way is given x - 4 is a factor,
∴ x - 4 = 0
x = 4 must satisfy the polynomial which has a factor of (x-4).
Now we have to replace x with 4 in each of the given polynomials and if LHS = RHS then (x -4) is a factor.
a. x³ - 13x - 12 = 0
(4)³ - 13(4) - 12 = 0
64 - 52 - 12 = 0
64 - 64 = 0. (LHS = RHS).
b. x³ + 8x² + 19x + 12 = 0
(4)³ + 8(4)² + 19(4) + 12 ≠0
Here you don't need to calculate further because in LHS sum of these terms won't be zero.
c. x³ + 6x + 5x - 12 = 0.
x³ + 11x - 12 = 0.
64 + 44 - 12 ≠ 0.
d. x³ - x² - 10x - 8 = 0.
64 - 16 - 40 - 8 = 0.
64 - 64 = 0, (LHS = RHS).
e. x² - 4
16 - 4 ≠ 0.
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6) I used 4 packages of printer paper during 10 months. At this rate, how many packages
will I use for the year? (Hint: change months to years)
4.8 packages will need for the use of one year.
No. of used packages of printer paper during 10 months = 4 Packages
As we know that there is 12 months in a year,
To determine the number of packages need for the year, first we have to find the number of package is being use in one month.
S0, No. of used package in 1 month = 4/10 = 0.4 Package
Now, we will determine the number of packages for the use of one year, by multiplying the No. of used package in 1 month with 12.
No. of packages for the use of one year = 12 × 0.4
= 4.8 Packages
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Please Help
Thanks In advance
Answer:
U = 4
Step-by-step explanation:
We take 3/9 and simplify it, making 1/3.
We multiply both by 12 to eliminate denominators, so the new numbers are 4 and U.
U = 4
------------------------------------------------------------------------
Answer:
A) The percentage of the bacteria increasing each hour is 15% per hour
B) When t=0 the population of bacteria is 3000 bacteria
C) After 24 hours the a sensible degree of accuracy in population is about 85875 (since only whole numbers count)
Step-by-step explanation:
A) To find the percentage of the bacteria increasing each hour the growth rate needs to be determined. To find it you need to subtract 1.15 by since the formula for exponential growth is a(1+r)^t one is added to the rate so to inverse it 1.15 needs to be subtractied by one to get 0.15. At this point you found the decimal rate to find the percentage you multiply 0.15 by 100 to make it a whole number and it results in 15%
B) To determine the size if the population when t=0 you substitute the variables t for 0 to get 3000×1.15^0 to get 3000 (remember anything times 0 is 0). Another way is to keep in mind that 3000 is the initial amount because that's the number with no variable with it.
C) To find the population after 24 hours substitute t for 24. After substituting t and multiplying 3000×1.15^24 the exact answer is 85875.52857. To find the answer in a sensible degree of accuracy you would round it to the nearest whole number which is 85876 since the dight in the tenths place is 5 or greater than the answer is rounded up by one.
The sum of a number and its half is 27. Find the number.
Let the number be y
Answer:
Step-by-step explanation:
the number is y
you are told
y+0.5y=27
Therefore,
1.5y = 27.
If you divide by 1.5 on both sides, you'll get 18 which is your answer.
18+9=27
Eli wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. Eli only has $37 to spend.
Let n represent the number of notebooks that Eli buys.
Which inequality describes this scenario?
37<2n+24 , 37<2n+24
37≤2n+24 , 37 is less than or equal to 2 n plus 24
37>2n+24 37 is greater than 2 n plus 24
37≥2n+24
Answer: the second one
Step-by-step explanation:
The inequality that represents buying n notebook with a calculator and a maximum amount of $37 to spend:
37 ≥ 2n + 24
Option D is the correct answer.
What is inequality?It is a statement of an ordered relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
Cost of the calculator = $24
Cost of a notebook = $2
Total amount to spend = $37
Number of notebooks = n
The inequality that represents buying n notebook with a calculator and a maximum amount of $37 to spend:
37 ≥ 24 + 2n
The number of possible notebooks to buy:
37 24 + 2n
37 - 24 ≥ 2n
13 ≥ 2n
13/2 ≥ n
6.5 ≥ n
The number of notebooks can be 6 or fewer.
Thus,
The inequality that represents buying n notebook with a calculator and a maximum amount of $37 to spend:
37 ≥ 2n + 24
Option D is the correct answer.
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Raven is deciding between two plumbing services. service provider a multiplies the average number
Based on the fact that Raven is trying to decide between two plumbing services, the costs of the service charge are:
Service provider A - $83.33Service provider B - $105What is the service cost?The Service cost for Service provider A is:
= 50 x 1.5 + (50 x ((1.75 / 1.5) - 1)
= $83.33
Service cost for Service provider B is:
= Number of hours x Cost per hour
= 60 x 1.75
= $105
The cheaper plumber is Service provider A.
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What is 4(3-x)+10 what does that equal
Answer:
22 - 4x
Step-by-step explanation:
4(3-x) + 10 Distribute the 4
4(3) - 4x +10
12 - 4x +10
22 - 4x
Kaylee drove 160 miles in 5 hours. If she continued at the same rate, how far would
she travel in 17 hours
Answer:
544 miles
Step-by-step explanation:
160 miles= 5 hours in order to see how much she traveled in 1 hour you need to divide so do 160 divided by 5 = 32 then do 32x17 which would be 544.
I hope it helps you!
~XxBells is a cute girlxX~
Kaylee would travel 544 miles in 17 hours if she continued at the same rate.
What is the distance?A mathematical number is known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
distance = rate × time
We know that Kaylee drove 160 miles in 5 hours, so her rate is:
rate = distance / time = 160 miles / 5 hours = 32 miles/hour
Now we can use this rate to find out how far she would travel in 17 hours:
distance = rate × time
distance = 32 miles/hour × 17 hours
distance = 544 miles
Therefore, Kaylee would travel 544 miles in 17 hours if she continued at the same rate.
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a real estate agent believes that the value of houses in the neighborhood she works in has increased from last year. to test this claim, she randomly selects houses in this neighborhood and compares their estimated market value in the current year to their estimated market value in the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. assume that the values are normally distributed. using a test statistic of t≈7.496, the significance level α
The hypothesis is called the alternative hypothesis test.
According to the statement
We have to explain about the alternative hypothesis.
So, For this purpose, we know that the
The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.
From the given information:
she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.
Then
the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.
Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.
So, The hypothesis is called the alternative hypothesis test.
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a researcher wants to know how the residents of a town feel about constructing a new road through the town
If A= [-2 14 9] and B= [0 -6 10], the A-3B=?
Answer:
(-2, 32, -21)
Step-by-step explanation:
You just multiply B by 3 and then subtract the corresponding parts. For example -2 -(0*3). and then 14-(-6*3)
A farmer sells an average of 15 3/5 bushels of corn each day. What integer represents the charge in bushels of corn in his inventory after 6 days?
well, let's convert the mixed fraction to improper fraction firstly, then let's check their difference.
[tex]\stackrel{mixed}{15\frac{3}{5}}\implies \cfrac{15\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{78}{5}}\qquad \impliedby \textit{that's for just 1 day} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\LARGE after 6 days}}{\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} +\cfrac{78}{5} }\implies \cfrac{468}{5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{change in bushels}}{\cfrac{468}{5}~~ - ~~\cfrac{78}{5}}\implies 78\qquad \impliedby \textit{so 6 days later he's got 78 more bushels}[/tex]
Help I don’t know any of this please
What number is halfway between -46.3
and 46.31?i
The number that is halfway between the numbers -46.3 and 46.31 will be 46.305.
We are given the two numbers:
- 46.30 and 46.31
Now, we need to find a number that is halfway between the given numbers.
For this, we need to find the mid point between the two numbers that is given to us.
Mid point is calculated as:
| x | + | y | / 2
Substituting the values in the expression, we get that:
46.3 + 46.31 / 2
= 92.61 / 2
= 46.305
Therefore, we get that, the number that is halfway between the numbers -46.3 and 46.31 will be 46.305.
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WILL GIVE U BRAINLIEST
Answer: ( -2, 4)
Step-by-step explanation:
Write the function rule for the function shown below reflected in the given axis. f(x) = 4x; x-axis Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? g(x) =
The function rule for g(x) is g(x) = -4x
How to determine the function rule for g(x)?The function is given as
f(x) = 4x
The transformation is given as reflection across the x-axis
The rule of this transformation is
(x, y) = (x, -y)
So, we have
g(x) = -f(x)
This gives
g(x) = -4x
Hence, the function rule for g(x) is g(x) = -4x
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consider a certain type of nucleus that has a decay rate constant of 0.0250 min-1. calculate the time required for the sample to decay to one-fourth of its initial value.
It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.
In the given statement is:
λ = 2.5 x 10^-2 [tex]min^{-1}[/tex]is the rate constant of the nucleus
To solve this problem, we use
N(t) = [tex]N_{0}[/tex]e^-λt
and since we are looking for the time it takes to decay the nucleus to one -fourth of its original amount, we set
N(t) = 1/4 [tex]N_{0}[/tex] = 0.25[tex]N_{0}[/tex]
We can substitute this in the decay equation:
0.25[tex]N_{0}[/tex] =[tex]N_{0}[/tex] e^-λt
Cancel the like terms
0.25 = e ^-λt
Take the natural logarithm of both sides:
㏑(0.25) =㏑(e^-λt)
㏑(0.25)= -λt
Solve for the time t:
t = - ㏑(0.25)/λ
Substitute the given rate constant :
t = ㏑(0.25) / 2.5 x 10^-2 [tex]min^{-1}[/tex]
t = -1.3863 /2.5 x 10^-2 [tex]min^{-2}[/tex]
t = 55.452mins
It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.
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Find the constant of variation where y varies directly as x if y = 30 when x = 8. Write your answer
as a decimal.
The value of constant v is 3.75 if y varies directly as x and when
x = 8 and y = 30.
Let v be any constant.
According to the given question.
y varries directly as x.
⇒ y ∝ x
⇒ y = vx (beacuse v is constant)
Here, it is give that x = 8 and y = 30.
Thereofre, the value of constant v when y = 30 and x = 8 is given by
y = vx
⇒ 30 = v(8)
⇒ 30/8 = v
⇒ v = 3.75
Hence, the value of constant v is 3.75 if y varies directly as x and when
x = 8 and y = 30.
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HELPPPP!! Each of 8 students reported the number of movies they saw in the past year. Here is what they reported. 6,14,14,16,14,18,15,6
Based on the number of movies that each of the 8 students saw in the past year, the mean number of movies is 12.875 movies
How to find the mean?To find the mean of a distribution of numbers such as the number of movies seen in the past year, sum up the number of movies watched and then divide it by the number of students.
The mean number of movies watched by the students is therefore:
= Sum of movies watched / Number of students
= (6 + 14 + 14 + 16 + 14 + 18 + 15 + 6) / 8 students
= 103 / 8
= 12.875 movies
Rest of the question is:
Find the mean number of movies that the students saw.
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In 1975, a person earning minimum wage made $80 for a 40-hour work week. what was the minimum wage per hour in 1975?
The minimum wage per hour = $2
Here we need to find the value of minimum wage per hour in 1975
As is given that the earning minimum wage is $80 for working 40 hours.
40-hour work gives = $80
1-hour work gives = $80/40
= $2
Therefore the minimum wage per hour in 1975 is $2
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