Answer:
3/y
Step-by-step explanation:
15x
5xy
you would divide top and bottom by 5x, since it is their only common divisor.
you would then get 3/y. hope this helps
Charles is starting a lawn care business. He has expenses of $260 for the lawn mower and an additional $5 of gas per lawn that he mows. His revenue is $30 per lawn. Write a system of equations to model this business and use it to determine how many lawns Charles has to mow before he starts to make a profit.
Charles has to mow at least 11 lawns before he starts to make a profit. To determine the number of lawns Charles has to mow before he starts to make a profit, we need to find the value of x when the profit becomes positive.
Let's define the variables:
x: Number of lawns mowed
y: Profit (revenue - expenses)
The revenue generated from mowing x lawns is given by:
Revenue = $30 * x
The total expenses incurred from mowing x lawns is given by:
Expenses = $260 (for the lawn mower) + $5 * x (for gas per lawn)
The profit is calculated as the revenue minus the expenses:
Profit = Revenue - Expenses
Now, we can write the system of equations:
Equation 1: Revenue = $30 * x
Equation 2: Expenses = $260 + $5 * x
Equation 3: Profit = Revenue - Expenses
To determine the number of lawns Charles has to mow before he starts to make a profit, we need to find the value of x when the profit becomes positive. In other words, we need to find the solution for Equation 3 where Profit > 0.
By substituting the expressions for Revenue and Expenses into Equation 3, we have:
Profit = ($30 * x) - ($260 + $5 * x)
Profit = $30x - $260 - $5x
Profit = $25x - $260
Now, we set Profit > 0 and solve for x:
$25x - $260 > 0
$25x > $260
x > $260 / $25
x > 10.4
Since the number of lawns mowed cannot be a decimal, Charles needs to mow at least 11 lawns before he starts to make a profit. Therefore, the answer is that Charles has to mow at least 11 lawns before he starts to make a profit.
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WILL GIVE BRAINLIEST! 25 POINTS!
Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
Identify any values of data that might affect the statistical measures of spread and center.
The females worked less than the males, and the female median is close to Q1.
There is a high data value that causes the data set to be asymmetrical for the males.
There are significant outliers at the high ends of both the males and the females.
Both graphs have the required quartiles.
Answer:
Difference
Step-by-step explanation:
The Difference of boys and girls in the school coyld change the ratios
Find the vector that translate A (-2, 7) to A’ (6, 4)
Answer:
Find the vector that translate A (-2, 7) to A’ (6, 4) is <8,-3>
Step-by-step explanation:
A (x,y) -> A' (x+p , y+q)
x = -2
-2 + p = 6 p = 8
7 + q = 4 q = -3
ASAP someone help me with this
STEP BY STEP EXPLANATION PLZ
Answer:
75°
Step-by-step explanation:
Given
ADC=134°
So the equation is
5x+4+7x-2=134
12x+2=134
12x=134-2
12x=132
x=11
So BDC=
7.11-2
77-2
75
Answer:
m∠BDC = 75°
Step-by-step explanation:
m∠ADC =134°
m∠ADB+m∠BDC = m∠ADC
5x +4 +7x -2 = 134
12x = 134 -2
x= 132/12 = 11
m∠BDC = 7x -2 = 7*11 -2 = 77-2 = 75°
find the volume of the solid. the prisms, pyramids, and cones are right. round your answer to two decimal places.
To find the volume of a solid, we need to know its shape and dimensions. If the solid is composed of prisms, pyramids, and cones that are right, we can use the appropriate formulas to calculate their volumes. Once we have the volumes of each individual shape, we can add them together to find the total volume of the solid.
It's important to note that when rounding the answer to two decimal places, we should look at the third decimal place and round up if it is 5 or higher. For example, if the calculated volume is 12.345, rounding to two decimal places would give us 12.35.
In summary, to find the volume of a solid composed of right prisms, pyramids, and cones, we use the appropriate formulas for each shape and add the volumes together. We then round the final answer to two decimal places, rounding up if necessary.
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I dont know how to do his please help!
Without knowing what the dropdown list shows for reasons, it's hard to pinpoint exactly what is expected here.
Angle ACD is congruent to angle BCD because they are corresponding angles between the congruent triangles ∆ACD and ∆BCD.
The triangle congruency is due to angle-angle-side (AAS) similarity:
• angles A and B are congruent - this is given
• angles CDB and CDA are congruent right angles - this is implied by the given detail that CD and AB are perpendicular
• the leg CD is common to both triangles, and CD is of course congruent to itself (reflexive property)
So angles ACD and BCD are congruent, which means they have the same measure, so by definition of angle bisector, CD bisects angle ACB.
QED
Consider the following. y = x, y = 4x - x2, about the line x = 7 (a) Set up an integral for the volume of the solid obtained by rotating the region bounded by the given cu 3 (2m (7-x) [(4x-x²) -x] )
Integral for the volume of the solid obtained by rotating the region bounded by the curves is ∫[a to b] 2πx * (4x - x^2 - x) dx.
To set up an integral for the volume of the solid obtained by rotating the region bounded by the curves y = x and y = 4x - x^2 about the line x = 7, we need to use the method of cylindrical shells.
The cylindrical shells method involves integrating the circumference of each cylindrical shell multiplied by its height. In this case, the height of each cylindrical shell is given by the difference between the two curves, y = 4x - x^2 and y = x.
The radius of each shell is the distance from the line of rotation, x = 7, to the curve x. Therefore, the integral for the volume can be set up as follows:
Volume = ∫[a to b] 2πx * (4x - x^2 - x) dx
The limits of integration, a and b, are determined by the points of intersection between the two curves, which can be found by setting the equations equal to each other and solving for x.
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In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero
A. True
B. False
The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.
A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.
Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.
Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.
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After drinking, the body eliminates 37% of the alcohol present in the body per hour.
a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form xn+1=f(xn), where xn is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable x).
b) Peter had three alcoholic drinks that brought the alcohol content in his body to 41 grams, and then he stopped drinking. Give the initial condition (in grams) for the DTDS in (a).
c) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hours.)
The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.
a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.
Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:
f(x) = x - 0.37x
Simplifying the equation:
f(x) = 0.63x
b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:
x0 = 41 grams
c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.
For n hours, the solution is given by:
xn = f^n(x0)
Applying the updating function f(x) repeatedly for n times:
xn = f(f(f(...f(x0))))
In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:
xn = (0.63)^n * x0
Substituting the initial condition x0 = 41 grams, the solution becomes:
xn = (0.63)^n * 41 grams
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It is estimated that 26% of the population of Gingerland have red hair. If 10 residents are chosen at random, what is the probability that... (assume each person is independent)
a) exactly 4 of them have red hair?
b) less than 5 of them have red hair?
c) at least one of them has red hair?
d) What is the expected (mean) number of people you will find with red hair in this group of 10?
Answer:
The answer for me would be a) exactly 4 of them have red hair
Step-by-step explanation:
being that there is 26 percent of people in Gingerland that gave red hair I cam assume that that is a lot of people being that Gingelrand is like a city/town so exactly 4 of them is what I assume is the amswer
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
What is slope intercept form?
O
a + b =C
O y = 3m + b
O
y = mx + b
Answerc
Step-by-step explanation:
Answer:
Step-by-step explanation: a
A hot air balloon has just taken off. It rises to a height of 90 meters above the ground in 30 seconds. It is moving at a constant speed. How fast is the hot air balloon rising?
Answer: 3 m/s
Step-by-step explanation:
Given
the balloon rises up to a height of 90m in 30 sec
So, speed of balloon is \(v=\frac{\text{Distance}}{\text{time}}\)
\(v=\frac{90}{30}=3\ m/s\)
y = x + 15y = 2x Use substitution to solve the system of equations.
ANSWER
x = 15, y = 30
EXPLANATION
We want to solve the system of equations by substitution method.
We have that:
y = x + 15
y = 2x
Substitute the value of y in the second equation into the first:
=> 2x = x + 15
Collect like terms:
2x - x = 15
x = 15
Recall that:
y = 2x
=> y = 2(15)
y = 30
The solution to the system of equations is: x = 15, y = 30
can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs
The following statements are true:
Segment DEF is parallel to ABC
The line segment AB is parallel to DE
Line FC is parallel to AD
the line that is skewed to DE is BC
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABC
CADF is parallel to CBEF
For the lines, the lines that are parallel to each other are:
AD is parallel to BE
AB is parallel to DE
FC is parallel to AD
Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
The missing image is attached with the answer below.
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What is the surface
area of a beach ball
with a diameter of 20
inches?
Step-by-step explanation:
diameter =20inches
radius =20/2=10 in
Surface area of sphere, A = 4πr²
π=3.14
area = 4×3.14×(10)²
area=1,256 in²
for the following initial value problem, compute the first two approximations and given by euler's method using the given time step. y'(t)=-y,y(0)=3,deltat=.2
The first two approximations are y(0.2) ≈ 2.4 and y(0.4) ≈ 1.92.
Euler's method is a numerical method used to approximate the solutions of ordinary differential equations (ODEs) with a given initial value.
The method involves breaking down the solution into smaller intervals and approximating the solution at each interval using the derivative at the current point. Specifically, for the initial value problem y'(t) = f(t,y(t)), y(t0) = y0, with a time step size of delta t, Euler's method proceeds as follows:
Start at the initial value point (t0, y0).Compute the derivative of y(t) at the current point: f(t0, y0).Approximate the value of y at the next time step, t1 = t0 + delta t, using the formula:y1 = y0 + delta t * f(t0, y0)
Repeat steps 2 and 3 to obtain approximations of y at subsequent time steps.In the given problem, the ODE to be solved is y'(t) = -y and the initial value is y(0) = 3. Therefore, we have f(t,y) = -y and y0 = 3. The time step size is given as delta t = 0.2, which means we need to compute the values of y at t = 0.2 and t = 0.4 using Euler's method.
Applying the formula for the first approximation, we get:
y1 = y0 + delta t * f(t0, y0) = 3 + 0.2 * (-3) = 2.4
So, the first approximation of y at t = 0.2 is y1 = 2.4.
For the second approximation, we need to use y1 as the initial value and compute y2 as follows:
y2 = y1 + delta t * f(t1, y1) = 2.4 + 0.2 * (-2.4) = 1.92
Therefore, the second approximation of y at t = 0.4 is y2 = 1.92.
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PLEASE HELP ME!!!
Trevor asks his bank for a loan of $22000 to add a guest
room to his house. His bank offers financing at 7.25%
compounded monthly, for a term of 5 years, payable
monthly. What is Trevor's monthly payment?
Answer:
$526.3 is the monthly payment
Step-by-step explanation:
We use the compound interest formula to calculate the total amount payable on the loan.
Mathematically;
A = P(1 + r/n)^nt
Where A is the amount to pay
P is amount borrowed = 22,000
r is interest rate = 7.25/100 = 0.0725
t is years = 5 years
n is the number of times we compound lee year = 12 times since it’s monthly
Substituting these values, we have
A = 22,000(1 + 0.0725/12)^(12)(5)
A = 22,000(1 + 0.006041666666667)^60
A = $31,578
Monthly payment is total amount/ number of months
There are sixty months in 5 years
So monthly payment is 31578/60 = $526.3
Answer choices are
3/4.
2.
3.
4
Answer:
4
Step-by-step explanation:
You can determine the y-intercept by looking at the graph and see where the line intersects the y-axis at. Therefore, the y-intercept is 4
Answer:
I think maybe 3
Tyrone is applying stain to a toy chest he made for his sister. The toy box is 33 inches (in.) long , 18 in. wide , and 15 In. tall. The next of the box is shown.
Answer:
2718 square inchesStep-by-step explanation:
Since he's applying stain (painting) he must be doing only the surface.
Finding the surface area:
33x18=594
33x15=495
18x15=270
594+495+270=
1359 square inches
We will then x2 1359 since we found the area for 1/2 of the box.
It is: 2718
which is a reasonable estimate for the amount of kernels serena needs to make 6 cups of popcorn
Answer:
four tablespoons to make 6 cups of popcorn.
Step-by-step explanation:
1.5 is nine Equals 2.25 x. And then divide both sides by 2.25. That gives you four tablespoons to make 6 cups of popcorn.
out of 457 applicants for a job, 271 have over 5 years of experience and 75 have over 5 years of experience and have a graduate degree. step 2 of 2 : consider that 116 of the applicants have graduate degrees. what is the probability that a randomly chosen applicant has over 5 years of experience, given that the applicant has a graduate degree? enter a fraction or round your answer to 4 decimal places, if necessary.
The probability that a randomly chosen applicant has over 5 years of experience is 0.2768.
What is probability?It should be noted that probability simply has to do with the likelihood that an event will happen.
From the information, out of 457 applicants for a job, 271 have over 5 years of experience and 75 have over 5 years of experience.
Therefore, the probability that a randomly chosen applicant has over 5 years of experience will be:
= Number of graduate over 5 years / Number of people over 5 years experience
= 75 / 271
= 0.2768
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how many pints are in 3 3/4 gal
Let x1, x2, x3 be three independent random variables with binomial distributions b(4,1/2), b(6,1/3), and b(12,1/6), respectively. find (a) p(x1 = 2,x2 = 2,x3 = 5).
0.00345 is the value of p(x).
What means binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.P(x₁= 2 , x₂ = 2 , x₃ = 5 )
p( x₁= 2) . p( x₂ = 2) . p( x₃ = 5) .........( as these are independent variable)
[c⁴₂ ( 0.5 )² ( 0.5 )² ] [ c⁶₂ ( 1/3)²(2/3)⁴ ] [ c¹²₅ (1/6)⁵ (5/6)⁷
= 0.375 × 0. 329 × 0.028
= 0.00345
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A motorcycle is traveling at a constant speed of 45 miles per hour. how many feet does it travel in 6 seconds? remember that 1 mile is 5280 feet.
Answer:
The total number of feet travelled by the motorcycle is 396 feet
Step-by-step explanation:
Using the constant speed relationship with the distance:
v = s/t
From the above equation the distance travelled will be:
s = v * t (i)
We are given with the v, that is:
v = 45 miles per hour
Converting in to feet per second.
v = (45 * 5280)/3600 feet / s
v = 66 feet per second
Now, put that v and t in equation (i)
s = 66 * 6
s = 396 feet
help plz show work
assig 8
Answer:
B and D
Step-by-step explanation:
a is right because there are numbers that exist that are larger than five and smaller than 9
c is right because again, there are numbers that exist that are larger than -3 and smaller than 7.
b cannot be right because there are no numbers that can be larger than 9 that are also smaller than 5
d also cannot be right because there are no numbers that are less than -5 that are also more than -3.
Answer:
b and d
Step-by-step explanation:
those two can never be trusted
Simplify this algebraic expression.
z- 4/4+8
A. Z-7
B. Z+9
C. 2-3
D. Z+7
Answer:
(D) : Z+7
Step-by-step explanation:
−
1
+
8
}}
z−1+8
+
7
Answer:
Z-4/4+8
Z - 1 + 8
Z + (-1 + 8)
Z + 7
help pls AP CALCULUS!
Answer:
9
Step-by-step explanation:
Let first find the width of the subintervals
\( \frac{4 - 0}{4} = 1\)
We are using MRAM, so we will be using the midpoint interval height as the height.
So for the first rectangle
The midpoint of interval [0,1] is 0.5
The midpoint of the second interval [1,2]=1.5
The midpoint of the third interval [2,3]=2.5
The midpoint of the fourth interval [3,4]= 3.5
So let's set up an equation
Using Riemann sums, we are adding up rectangle areas so we will use the midpoint height (since we are using MRAM) and delta x(which is 1)
\(r = f(0.5)(1) + f(1.5)(1) + f(2.5)(1) + f(3.5)(1)\)
We will then get an area of
\(9\)
That is the approximate area.
The real area is 9.333333, so this is close somewhat.
The answer is 9
3. Which number represents 5.33 written
533/100 then simplify
5 and 33/100
But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.
Consider the trinomial 12x² +7x-10.
Does this trinomial have a greatest common
factor that could be "factored out"?
Answer:
This trinomial has no GCF
Step-by-step explanation:
12x² +7x-10
There are not common factor of 12, 7, -10
The -10 has no x, so we can't factor the x either
So, this trinomial has no GCF