Therefore 1 9/10 bag of mulch is put on each vegetable bed.
Given a gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds.
We need to find how much he put on each vegetable bed as
Let the number of bags of mulch put on each vegetable bed be x
∴ 2 * x = 3 4/5
2 x = 19 / 5
x = 19 / 10
x = 1 9/10 bag
Therefore 1 9/10 bag of mulch is put on each vegetable bed.
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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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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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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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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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WILL GIVE U BRAINLIEST
Answer: ( -2, 4)
Step-by-step explanation:
Solve the equation
A =2πr*2 + 2πrh, for h
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
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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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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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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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
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
Simplify (24)−1. one over two raised to the power of negative four one over two raised to the fourth power −24 23
The simplified form of the expression (2⁴)⁻¹ is 1/2⁴ (one over two raised to the power of four).
The integers exponents are the exponents that should be an integer. It can be either a positive integer or a negative integer. In this, the positive integer exponents describe how many times the base number should be multiplied by itself.
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
It is given that the expression is (2⁴)⁻¹
Now,
using the integer exponent properties,
=> (2⁴)⁻¹
=> (2)⁴* ⁻¹
=> (2)⁻⁴
=> 1/2⁴
Therefore, the answer is 1/2⁴ (one over two raised to the power of four) derived using the properties of integer exponents.
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Answer please, thanks.
Answer:2
Step-by-step explanation:
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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Help I don’t know any of this please
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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90% of what number is 45?
Answer:
40.5
Step-by-step explanation:
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)
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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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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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]
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.
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 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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The Evans family drives 21 miles in the first miles in the first 20 minutes of their trip. what is their speed in miles per hour during this time? create a representation to show your work.
The measure of the speed during the time is 63. 64 miles per hour
How to determine the speedThe formula for speed is expressed as;
Speed = distance/ time
Given that;
Distance traveled = 21 milesTime = 20 minutesLet's convert the time in minutes to hour
60 minutes = 1 hour
20 minutes = x hour
cross multiply
x = 20/ 60
x = 0. 33 hours
Substitute the values
Speed = 21/ 0. 33
Speed = 63. 64 miles per hour
Thus, the measure of the speed during the time is 63. 64 miles per hour
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7+(2x3) 5-6(9 divided by 5)=
Answer:
26.2
Step-by-step explanation:
7 + (2x3) 5-6 (9/5)
7 + 6*5-6*1.8
7 + 30-10.8
37 - 10.8
26.2
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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a researcher wants to know how the residents of a town feel about constructing a new road through the town