Answer:
469
Step-by-step explanation:
add them together
SS ZONE
Block 5> Topic 3> Applications of Percent
Dre is painting a mural for his school.
Each can of spray paint costs $5 before
sales tax. The sales tax rate is 10%.
Plot a point that represents how Dre can
spend money on spray paint.
Cost Including Sales Tax (5)
132
88
44
20
40
60
Cost Before Sales Tax ($)
A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.
How to model the money spent?The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.
The general format of a proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:
Cost before sales tax.10% of the cost before sales tax.Considering x as the cost before sales tax, the equation is given as follows:
y = x + 0.1x
y = 1.1x.
Meaning that one point is given as follows:
(5,5.5).
Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.
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What are the domain and range of f(x)=3(x−15)2+27? It is a drag an drop.
Answer 1. All real numbers
Answer 2. x≥15
Answer 3. f(x)≥15
Answer 4. x≥27
Answer 5. f(x)≥27
Answer:
1. All real numbers
Step-by-step explanation:
Simplifies to f(x) = 6x - 63, it will cross all x and y values.
The domain and range of the given function are all real numbers
We have given that,
f(x)=3(x−15)2+27
f(x)=(3x-45)2+27
f(x)=6x-90+27
What is the domain?The domain is the set of points at which the function is defined.
What is the range?
The range of a set of data is the difference between the largest and smallest values. The difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.
To f(x) = 6x - 63, it will cross all x and y values.
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three traffic lights on a street span 120 yards. if the second traffic light is 85 yards away from the first, how far in yards is the third traffic light from the seccond
The distance between the third traffic light from the second traffic light is 35 yards.
What is the distance?Three traffic lights on a street span 120 yards.
If the second traffic light is 85 yards away from the first.
Therefore, the third traffic light is 120 - 85 =35 yards away from the second traffic light.
This means that the third traffic light is directly adjacent to the first traffic light. The third traffic light from the second traffic light is at the same location as the first traffic light.
Thus, the distance between the third traffic light from the second traffic light is 35 yards.
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a local bbq restaurants offers 2 side dishes with a lunch plate. there are 7 side dishes. how many choices of side dishes does a customer have? note: there is no requirement that the customer chooses different side dishes (i.e. he or she can choose say baked beans twice as their side dish).
The number of choice out of 7 that consumer have are 42.
What is permutation?The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.
According to given data:Number of choices of side dishes does a customer have,
total dishes(n)=7 , r = 2
ⁿP₂
⁷P₂
7×6 = 42
Thus required number of ways are 42.
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The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
75 boys
Step-by-step explanation:
5:4
? : 60
60/4= 15
?/5=15
*5 *5
?= 75
Answer:
75
Step-by-step explanation:
To get from 4 to 60, you need to multiply by 15. If you want to find out how many boys there are, simply multiply 5 by 15, which you get 75.
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.
The surface area of the box is 1048 square inches
How to calculate the total surface area of the boxThe formula for calculating the surface area of the prism is expressed as:
Surface area = 2(lw + wh +lh)
Given the following
l = 20in
w = 8in
h = 13in
Substitute the given parameters'
Surface area = 2(lw + wh +lh)
Surface area = 2(20(8) + 8(13) +20(13))
Surface area = 2(160+104+260)
Surface area = 1048 square inches
Hence surface area of the box is 1048 square inches
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Point P is on line segment \overline{OQ}
OQ
. Given OQ=2x,OQ=2x, OP=x,OP=x, and PQ=10,PQ=10, determine the numerical length of \overline{OQ}.
OQ
.
When point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units
Point P is on line segment OQ
The length of the line OQ = The length of the line PO + The length of the line PQ
The length of the line OQ = 2x
The length of the line OP = x
The length of the line PQ = 10
Substitute the values in the equation
2x = x+10
2x - x = 10
x = 10
Then the length of OQ is
2x = 2×10
= 20 units
Hence, when point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units
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in a class of 35 students 19 take Spanish, 18 take French and 3 take neither. Calculate how many take:
a) both French and Spanish
b) just Spanish
c) just French
Answer:
Hope that will help you
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
\(P(X_1) = 0.833\)
2nd Question
\(P(X_2) = 0.938\)
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is \(P(AT) = 0.8\)
The probability of flight that depart on time and arrive on time is \(P(DT\ |\ AT) = 0.75\)
In the first question the flight is departed on time so the probability that it will arrive on time is
\(P(X_1) = \frac{P(DT\ | \ AT)}{DT}\)
substituting values
\(P(X_1) = \frac{0.75}{0.9}\)
\(P(X_1) = 0.833\)
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
\(P(X_2) = \frac{P(DT\ | \ AT)}{AT}\)
substituting values
\(P(X_2) = \frac{0.75}{0.8}\)
\(P(X_2) = 0.938\)
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
help asap thank you!
Answer:
uhhm is something wrong with the pic or this is a troll?
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression. Pls answer fast I'm taking a test!!
Answer:
7
Step-by-step explanation:
What does an informatics nurse specialist do?
Answer:
A nursing informatics specialist uses a combination of nursing knowledge and expertise in computers to manage the information systems used by nurses in hospitals, medical offices and clinics. They collect and analyze data, plan and test the design of information systems, oversee their implementation and train nurses and administrators in their use.
Step-by-step explanation:
Answer:
An informatics nurse specialist is a registered nurse who designs, applies and manages technology to meet the needs of the healthcare industry. The field of nursing informatics incorporates information and computer science with nursing to improve patient care and outcomes
Step-by-step explanation:
.
if anyone knows please help!!! i'm a bit confused
Answer:
yes
Step-by-step explanation:
the robotics manufacturing company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. the company's repair facility is a single-server system operated by a repair technician. the service time varies, with a mean repair time of 3.2 hours and a standard deviation of 2.0 hours. the company's cost of the repair operation is $27 per hour. in the economic analysis of the waiting line system, robotics uses $37 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.)
λ=[
μ=
(b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.)
Lq = ____
L = ____
Wq = ____
W = ____
The arrival rate (λ) is approximately 0.5 jobs per hour, and the service rate (μ) is approximately 0.3125 jobs per hour.
The operating characteristics are approximately:
Lq = 1.3333
L = 2.1333
Wq = 2.6667
W = 5.3333
(a) To find the arrival rate (λ) and service rate (μ) in jobs per hour, we need to convert the given rates from jobs per day to jobs per hour.
Given:
Arrival rate: 2 jobs per 8-hour day
Mean repair time (service time): 3.2 hours
To convert the arrival rate to jobs per hour:
λ = (2 jobs / 8 hours) * (1 hour / 1/8 day)
λ = 0.5 jobs per hour
To find the service rate (μ), we can use the reciprocal of the mean repair time:
μ = 1 / (mean repair time)
μ = 1 / 3.2
μ ≈ 0.3125 jobs per hour
(b) Operating characteristics:
Lq: Average number of jobs in the queue
L: Average number of jobs in the system (queue + being served)
Wq: Average time a job spends in the queue
W: Average time a job spends in the system (queue + service time)
To calculate these operating characteristics, we can use the formulas for a single-server queue with exponential arrival and service times:
Lq = λ^2 / (μ * (μ - λ))
L = λ / (μ - λ)
Wq = Lq / λ
W = Wq + (1 / μ)
Plugging in the values:
Lq = (0.5^2) / (0.3125 * (0.3125 - 0.5))
L ≈ 0.25 / 0.1172
Wq = Lq / 0.5
W = Wq + (1 / 0.3125)
Evaluating the expressions:
Lq ≈ 1.3333
L ≈ 2.1333
Wq ≈ 2.6667
W ≈ 5.3333
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find a unit vector normal to the surface cos(xy) = ez − 2 at (1, π, 0).
The given surface is \(\cos(xy) = e^z-2\). The unit vector normal to this surface at the point (1, π, 0) is\(\vec{n}=\langle 0, 0, 1\rangle\).
A vector with a magnitude of one is termed a unit vector. To determine a unit normal vector for the given surface, start by describing the surface as a function of form F(x, y, z). Next, calculate this function's gradient and then normalize the outcomes.
Consider the normal vector \(\vec{n}=\langle a, b, c\rangle\) to the plane ax + by + cz = d. Given \(\cos(xy) = e^z-2\) then, z = ln(2+cos(xy)).
At point (x₀,y₀,z₀), the equation for the tangent plane to z = f(x,y) is written as, \(z-z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\). The value of \(f_x\) and \(f_y\) are
\(f_x = \frac{-y \sin(xy)}{(2+\cos(xy))}\) and \(f_y =\frac{ -x \sin(xy) }{ (2+\cos(xy))}\).
At *x, y) = (1, π), the value of \(f_x\) and \(f_y\) is zero. Then, the equation of the tangent plane is given as z-0=0+0 ⇒ z=0.
Then, the resulting unit normal vector is \(\vec{n}=\langle 0, 0, 1\rangle\).
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What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.
Answer:
22.608 units
Step-by-step explanation:
Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is \(C=2\pi r\) where \(r\) is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:
\(C=2\pi r\\C=2(3.14)(3.6)\\C=22.608\)
Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.
Answer:
Circumference is...
22.608Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Hope it helps!!!!!brainliest pls!!!!!!!!dont worry I already took this lesson.
In a crate, there are 40 apples. 3 of the apples are bad. What percentage of the apples are good?
Answer:
40-3
37/40 x100
92.5%
I hope this helps
Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent
Answer:
a = 3.45b = 6.67%Step-by-step explanation:
Initial prediction of sales = 45 automobile
Actual amount sold = 48 automobiles
Absolute error ratio a = actual amount sold - initial prediction/initial prediction
Absolute error ratio a = 48-45/45
Absolute error ratio a = 3/45
%error = actual amount sold - initial prediction/initial prediction * 100%
% absolute error = 48-45/45 * 100
% absolute error = 3/45 * 100
% absolute error b = 6.67%
Answer:
a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent
Step-by-step explanation:
Your Welcome;)
True or False
Directions: On the line before each statement, write T if the statement is true or F if the statement is false.
6. Seafloor spreading takes place along a mid-ocean ridge.
7. Oceanic crust is older when it is closer to a mid-ocean ridge than it is when
it is farther from the ridge.
8. The high thermal-energy flow at a mid-ocean ridge comes from seawater.
9. Magnetic bands on the ocean floor are evidence that Earth's magnetic field
changes.
10. Knowledge of seafloor spreading could have helped Alfred Wegener gain more
support for his hypothesis of continental drift.
Answer:
6.T
7.F
8.F
9.T
10.T
Step-by-step explanation:
I also took the test and these where my correct answers
Simplify the expression:
Answer: \(19u^{2} -12u\)
Step-by-step explanation:
1) You would have to distubite the 2 to the numbers inside the paretheis.
\(( -12u + 20u^{2} ) + -u^{2}\)
2) After that you add the like terms together.
\(20u^{2}-u^{2}= 19u^{2}\)
\(-12u\) (Nothing to add this term with.)
3) Put them together to make your answer.
\(19u^{2}-12u\)
What is the best sequence of names to
identify the elements of this set of
numbers?
(0.67,3-√4,√8,0.14)
1) real, rational, irrational, irrational,
irrational
2) rational, real, integer, irrational,
irrational
3) rational, rational, real, real,
irrational
4) rational, rational, integer, irrational,
rational
On solving the provided question, we can say that - sequence (0.67,3-√4,√8,0.14) are the rational, real, integer, irrational, irrational.
what is a sequence?A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.
here,
the given sequence is (0.67,3-√4,√8,0.14)
as we can see that in the sequence we have a rational number, integer, real number and a irrational so,
the answer is rational, real, integer, irrational, irrational.
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Solve for z. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
45.6
Step-by-step explanation:
9514 1404 393
Answer:
45.6
Step-by-step explanation:
There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).
27 = √(16z)
z = 27²/16 = 45.5625
z ≈ 45.6
!
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
help with these 2 questions! i will give brainlist
Answer:
8. 117°
9. 6.5
Step-by-step explanation:
8. x =½(201+33)= ½(234)= 117°
9. x = 9-2.5 = 6.5
Suppose that the marginal propensity to consume is dy
dC
=0.9−e −2y
(in billions of doliars) and that consumption is $5.6 billion when disposable income is $0. Find the national consumption function. C(y)=
The marginal propensity to consume is dy /dC=0.9−e −2yTherefore, the National Consumption Function is:C(y) = 0.9y + (1/2)e^(-2y) , 5.1 (in billions of dollars).
Marginal propensity to consume(dy/dC)= 0.9 - e^(-2y)When the disposable income is 0, the consumption is 5.6 billion. We need to find the national consumption function.
The marginal propensity to consume is dy/dC = 0.9 - e^(-2y)We need to find the National Consumption Function which is the relationship between consumption expenditure and national income.
From the given information, the consumption is 5.6 billion when disposable income is 0.Put y = 0, then C = 5.6 billion
Also, dy/dC = 0.9 - e^(-2y)dy/dC
= 0.9 - e^(-2(0))= 0.9 - e^(0)
= 0.9 - 1
= -0.1
Thus, we can integrate the given function to find the National Consumption Function
.C = ∫ dy/dC dy= ∫ (0.9 - e^(-2y)) dy= 0.9y + (1/2)e^(-2y) + C1
Now, to find the value of C1, C = 5.6 billion when y = 0.C(y) = 0.9y + (1/2)e^(-2y) + C1C(0) = 0.9(0) + (1/2)e^(-2(0)) + C1= 0.5 + C1C1 = 5.6 - 0.5= 5.1 billion
Therefore, the National Consumption Function is:C(y) = 0.9y + (1/2)e^(-2y) + 5.1 (in billions of dollars).
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Recall that the class width is computed by finding the difference of the largest data value and the smallest data value and dividing that difference by the desired number of classes. Here we are asked to use five classes. Therefore, we have the following.
class width =
largest data value − smallest data value
desired number of classes
=
largest data value − smallest data value
5
Correct: Your answer is correct.
Now examine the data set and determine the largest and smallest data values.
Percent Males Enrolled in Coed Universities and Colleges
43 46 52 48 64 58 42 54
58 51 48 58 54 38 51 42
44 78 39 43 39 55 68 52
46 76 43 45 55 60 47 54
46 45 54 69 40 57 30 29
54 47 58 43 48 57 41 60
40 55
The largest data value is
74
Incorrect: Your answer is incorrect.
and the smallest data value is
21
Incorrect: Your answer is incorrect.
The class width is 9.8.
We are given the following data set:43 46 52 48 64 58 42 54 58 51 48 58 54 38 51 42 44 78 39 43 39 55 68 52 46 76 43 45 55 60 47 54 46 45 54 69 40 57 30 29 54 47 58 43 48 57 41 60 40 55.The largest data value in the given data set is 78 and the smallest data value is 29. Class width is calculated by finding the difference of the largest data value and the smallest data value and dividing that difference by the desired number of classes. Largest data value - smallest data value = 78 - 29 = 49 Class width = 49/5 = 9.8
The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics. Almost all scientific fields, including the physical and social sciences, as well as business, the humanities, government, and manufacturing, use statistics. Fundamentally, statistics is a subfield of applied mathematics that emerged from the use of mathematical techniques like calculus and linear algebra in probability theory.
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Questions (7 Domains):
FYI: PLEASE DO NOT EXPLAIN THE 7 DOMAINS. PLEASE DO NOT
EXPLAIN THE 7 DOMAINS.
1. In your opinion, which domain is the most difficult
to monitor for malicious activity? Why?
2.
1. In my opinion, the domain that is most difficult to monitor for malicious activity is the User Domain. The User Domain represents all the individuals who access an organization's network and resources.
This domain is the most vulnerable to security breaches because users are prone to making mistakes that can expose the network to attacks.
Users can fall for phishing scams, install malicious software, or use weak passwords that can be easily guessed by hackers. It is challenging to monitor user activity because it requires a balance between security and user privacy. Organizations must ensure that users are following security policies without infringing on their privacy rights.
Another reason the User Domain is challenging to monitor is the wide range of devices that users may use to access the network, such as smartphones, tablets, laptops, and personal computers. Securing all these devices can be a challenge, and ensuring that all devices are updated with the latest security patches can be difficult.
2. It appears that you have not given a second question. If you have any other question regarding this topic, kindly post the complete question, and I will be glad to assist you.
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rio drew two similar rectangles. one rectangle was 9 inches long and 6 inches wide. the second rectangle was 15 inches wide. how long was the second rectangle?
As a result, the length of the second rectangle is 22.5 inches.
Are rectangles always squares?Every square is also a rectangle because a square is a parallelogram with all particular corners at right angles. Yet not all rectangles are squares; for a rectangle to be a square, all of its sides must be the same length.
We can infer that the two rectangles may have a similar shape but differ in size because we can see how similar they are to one another.
By using the fact that the ratio of the adjacent angles of two comparable rectangles is the same, we can determine the length of the following rectangle.
Let x be the second rectangle's length. Then we can establish a ratio:
9/6 = x/15
We can cross-multiply to find x:
9 x 15 = 6 × x
135 = 6x
x = 22.5
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Simplify the expression completely:
38x^19/
35x^6
Please help this is very important! I’LL GIVE 50 POINTS!! <33
Answer:
38 x^13/35
Step-by-step explanation:
when it's dividing, you substract 6 from 19
so it'll be x^13
How can division be used to find the factors of polynomial functions?
Answer:
To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.