Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy weighs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6
Answer:
(D). 6.
Step-by-step explanation:
The number of parts = 1 + 10 = 11.
So 10/11 of the alloy is copper and 1/11 is aluminium.
So the answer is 1/11 * 66
= 66/11= 6 pound,s
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x - y = 0
The solution of the system of equations contains one point
How to determine the number of solutions?The system is given as:
x + y = 6
x - y = 0
Add both equations
2x = 6
Divide by 2
x = 3
Substitute x = 3 in x - y = 0
3 - y = 0
Solve for y
y = 3
So, we have x =3 and y = 3
Hence, the solution of the system of equations contains one point
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
math related pls help
Hello and Good Morning/Afternoon:
Let's take this problem step by step:
Let's consider what the problem wants:
⇒ the value of (f-g)(y)
Let's consider what the problem gives us:
⇒ the value of f(y) and g(y)
Let's consider the relationship between f(y), g(y) and (f-g)(y)
⇒ [tex](f-g)(y)=f(y)-g(y)[/tex]
Let's solve for (f - g)(y)
[tex]\hookrightarrow(f-g)(y) = f(y)-g(y) = 5y^2-2y+1-(-3y^2-y-2)\\=5y^2-2y+1+3y^2+y+2=8y^2-y+3[/tex]
Answer: 8y²- y + 3
Hope that helps!
#LearnwithBrainly
The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices provided T F
There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).
What is Descarte's rule of signs?Descarte's rule of signs tells about the number of positive real roots and negative real roots.The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.Calculation:The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]
On applying Descarte's rule of signs,
[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]
Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.
[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]
Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.
Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).
Learn more about Descarte's rule of signs here:
https://brainly.com/question/11590228
#SPJ1
Which of the following expressions has a product of 36?
A. (-3)(12)
B. (-6)(-6)
C. 2(-18)
D. 4 · 8
Answer:
B. (-6)(-6)
Step-by-step explanation:
- X - = +
and 6 x 6 = 36.
kể tên các cặp góc kề bù
Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.
Supergran runs from her chalet to the top of the mountain. She knows that if she runs at a speed of 6 mph she will arrive at 1 pm, whereas if she leaves at the same time and runs at 10 mph, she will arrive at 11 am. At what speed should she walk if she wants to arrive at 12 noon
Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.
Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why
Collect data on a representative selection of patients for two weeks.
is the best data collection plan for this project.
According to the statement
we have a given that the surgical unit that receives 87 new patients per week.
and we have to tell the data plan to collect the baseline data before testing your change to control the pain across the unit.
And We know that the Data collection is A representative sample is one technique that can be used for obtaining insights and observations about a targeted population group
So,
Collecting data on a representative portion of your population — that is, sampling — allows you to collect baseline data and start making improvements faster, using fewer resources, than would be possible if you tried to look at every patient. Baseline data is important so that you can see if the changes you are testing are leading to improvement. Collecting data about a non representative sample of your population, such as by looking only at patients with the most severe pain, won't show the broad impact of your project on your unit.
So, Collect data on a representative selection of patients for two weeks.
is the best data collection plan for this project.
Learn more about Data collection here https://brainly.com/question/518894
Disclaimer: This question is incomplete. Please read the full content below.
Question:
You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why?
(A) Collect data on the pain level of every patient for at least a year.
(B) Collect data for at least a year, focusing only on patients who have undergone especially painful surgeries.
(C) Collect data on a representative selection of patients for two weeks.
(D) There is no reason to collect baseline data.
#SPJ4
a machine makes 36 widgets in 20 minutes. at that rate, how many widgets will the machine make in an 8-hour day?
Use the box-and-whisker plots to determine which statements are true.
The true statements are :
the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.
The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.
What are the true options?
A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers. The whiskers represents the minimum and maximum scores.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Range for New Orleans = 85 - 50 = 35
Range for Indianapolis = 75 - 25 = 50
Median for New Orleans = 70
Upper quartile for Indianapolis = 70
To learn more about box plots, please check: https://brainly.com/question/27215146
#SPJ1
Chantelle has 56 stickers. she will give all of the stickers to 8 friends. each friend will receive the same number of stickers. which equation will help chantelle decide how many stickers, n, to give to each friend?
Chantelle can use the following equation,
n = (Number of stickers) / (Number of friends)
or n = 56/8
Given Information
Chantelle has 56 stickers
⇒ Number of stickers = 56
She will distribute all of the stickers to 8 friends
⇒ Number of friends = 8
The number of stickers each friend will get = n
We have to form an equation for n.
Forming the Equation
Equation for the number of stickers to be given to each friend is as follows,
n = (Number of stickers) / (Number of friends)
n = 56/8
n = 7
Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ4
A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
Answer:
Journey taken time 5 hour at speed of 45km/hr
So,
1 hour=45/5=9km/hr
Therefore,3 hour=(9x3)km/hr.
(please mark me brainliest if my answer was good)
find x and the measure of each side. Round to two decimal places, if necessary.
The values of the triangles are as follows:
x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 unitsHow to find angles and side of a triangle?The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
learn more on triangle here: https://brainly.com/question/21279088
#SPJ1
If a circle has a radius of 4 meters, what is its circumference?
Answer: 12.56
Step-by-step explanation:
4 x 3.14
pi = 3.14
two hundred twenty five students play a team sport at lincoln high school these students represent 3/8 of the total
The total number of students in the school is calculated as; 600 students
How to find fraction of a total?Usually, some figures are expressed as a fraction of a whole as depicted in this case. Thus, when we are given a fraction of a whole to be equal to a particular figure, we will just cross multiply to get the total number.
We are told that;
Number of students that play a team sport at Lincoln high school = 225
Now, we are told that the number above represents a fraction of 3/8 of the total students in that school.
Thus, if the total number of students in the school is x, then we can say that;
(3/8)x = 225
Multiply both sides by 8 to get;
3x = 1800
x = 1800/3
x = 600 students
Thus, we can conclude that if two hundred and twenty five students play a team sport at Lincoln high school and these students represent 3/8 of the total, then we can say that the total number of students in the school is 600 students.
Read more about Fraction of Total at; https://brainly.com/question/11562149
#SPJ1
Sanjay and felipe are putting together a 500-piece puzzle. sanjay could do the entire puzzle by himself in 6 hours, while it would take felipe 8 hours to do the puzzle alone. a table showing rate in part per hour, time in hours, and part of puzzle complete. the first row shows sanjay, and has blank, t, t. the second row shows felipe, and has blank, t, t. use the table to write and solve an equation to determine the approximate amount of time it would take sanjay and felipe to do the puzzle if they were working together.
Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.
What is the time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.
The amount of time that something exists or continues to happen as measured or measurable.
The duration of events or the gaps between them can be measured, compared, or even ordered using time.
Time taken by Sanjay= 6 hours
Time taken by Felipe= 8 hours
Time taken by both if they work together,
=[tex]\frac{1}{1/6+1/8}[/tex]
=[tex]\frac{1}{\frac{4+3}{24} }[/tex]
=24/7
=3.4 hours
Learn more about time here:
https://brainly.com/question/2854969
#SPJ4
Answer:
the answer is C
Step-by-step explanation:
Stronger evidence against the null hypothesis is indicated by: Group of answer choices lower levels of significance. smaller p-values. lower probabilities for the power of the test. smaller critical values.
Stronger evidence against the null hypothesis is indicated by: smaller p-values.
What is null hypothesis?A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.
A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.
The alternative hypothesis is supported if the null hypothesis can be rejected.
The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.
Learn more about null hypothesis here:
https://brainly.com/question/13045159
#SPJ4
Sampling distribution. a quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. consider the values of 1, 2, and 5 to be a population. assume that samples of size 2 are randomly selected (with replacement) from the population
a. list the 9 different possible samples and find the mean of each sample
b. what is the mean of the sample means from part a?
c. is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? are those means always equal?
(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
(b) The mean of the sample means from part (a) is 8/3.
(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.
According to the questions,
Game number 1 2 3 Total
Number of interceptions 1 2 5 8
a) Element 1 Element 2
1 1
2 2
5 5
1 2
1 5
2 5
2 1
5 1
5 2
Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
b) The mean of the sample means from part a.
(1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3
The mean of the sample means from part (a) is 8/3
c) Mean of the populations = (1+2+5)/3 = 8/3
The mean of the sample distribution from part b. is 8/3
Yes, The mean of the sample distribution is always equal to the mean of the Population
Learn more about mean here
https://brainly.com/question/2725330
#SPJ4
Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5
One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
What is system of linear equations?
A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.
Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.
equation 5=20
20-5 = 15
Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.
Learn more about system of linear equations here:
https://brainly.com/question/27664510
#SPJ4
What is the common ratio of the geometric sequence below?
10, 15, 22.5, 33.75, ...
A. 2/3
B. 1.5
C. 5
D. 7
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
= 1.5
Hence the common ratio of the sequence is 1.5
Please see the link below for more information
https://brainly.com/question/2386212?referrer=searchResults
#SPJ1
Answer:
B
Step-by-step explanation:
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
Please see the link below for more information
brainly.com/question/2386212?referrer=searchResult
1.5
If WX= 82 cm, find the length of YZ. (OV = 9cm and OV is perpendicular to YZ)
The length of the measure of YZ is 80cm
Perpendicular linesPerpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;
WX = 82cm
Required
Length. of YZ
Using the pythagoras theorem
YV = VZ = √41²-9²
YV = VZ = √1600
YV = VZ = 40
Since YZ = YV + VZ
YZ = 40cm + 40cm
YZ= 80cm
Hence the length of the measure of YZ is 80cm
Learn more on perpendicular lines here: https://brainly.com/question/1202004
#SPJ1
find the slope of the line on the graph write your answer as a fraction or a whole number
Answer:
-3/2
Step-by-step explanation:
Slope=rise/run
Pick any 2 points and you can see that for every increase in 2 increases for x, there are 3 decreases for y.
Suppose a random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random sample of Coldplay ticket prices was obtained. True or False: The two groups of data are independent samples.
A random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
According to the questions,
A random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random samples of Coldplay ticket prices was obtained.
The two groups of data are independent samples.
Hence, a random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
Learn more about random samples here
https://brainly.com/question/17040012
#SPJ4
Bens barbershop has a rectangular logo for their business that measures 7 1/5 feet long with an area that is exactly the maximum area allowed by the building owner. create an equation that could be used to determine m, the unknown side length of the logo.
A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.
Expression steps of the equationWe can determine the following details from the query:
Logo= rectangle with a
Length ,L= 7-foot
'A' stands for the logo's area, and 'M' for the side that isn't recognized.
The rectangle's area (A) is computed using:
A = L*W
⇒A = 7*M
(As per query, length, L=7 & W= M)
Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.
Learn more about the area of the rectangle here:
https://brainly.com/question/20693059
#SPJ4
For the real-valued functions f(x)=2x+3 and g(x)=√x-5, find the composition fog and specify its domain using interval notation.
(fog)(x) =
Domain of fog:
Find fog
fog(x)f(g(x))f(√x-5)2√(x-5)+3For real range the domain
x-5≥0x≥5Domain is [5,oo)
The line plot (shown in the attached image) shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.
Please help!! show all work
a. The median is 70, the mode is 60, and the mean is 70.8.
b. Mean best captures the data.
c. When there are outliers, the mean might be a deceptive center measure.
Calculating the Mean, Median, and Mode
Mean: Total number of sunglasses / total quantity of pries
Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25
Mean = 70.8
Median is equal to the (n/2 + 1)th term.
The number of sunglasses in this case is n.
(25/2 + 1)th term as the median
Median = 13th term
Median is 70
Mode is the most frequent data
Therefore, mode = 70
Why is mean the most appropriate central measure ?
The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.
Learn more about mean here:
https://brainly.com/question/17060266
#SPJ1
Answer:
Step-by-step explanation:
Write a function of the geometric sequence with a starting term of 6 and a common ratio of 3. Find the sixth term.
A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.
What is the sixth term of the sequence?Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).
Additionally, by substitution of 6 for n; f(6) = 1,458.
Read more on geometric sequence;
https://brainly.com/question/24643676
#SPJ1
How do I put the pairs for the values in the domain
Answer:
Step-by-step explanation: use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
No penalties have been given. Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. What should the Referee do
Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. annual the touch fencer Y recieves a RED CARD.
what are the fencing rules ?
Penalty cards or flags are also used in modern fencing. Each card has a unique meaning. A fencer who receives a yellow card is warned, but no further action is taken. A fencer who receives a red card is warned, and their opponent receives a touch. A fencer who receives a black card is disqualified from the competition and may be disqualified from the tournament, expelled from the venue, or suspended from future tournaments if the offence is serious. However, black cards are rarely given to fencers. It should be noted that spectators can (and occasionally are) carded or expelled.
Learn more about fencing rules here:
https://brainly.com/question/28045707
#SPJ4
help me pls
if you write a wrong answer you will be reported by the app.
The complete proof of the theorem is
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
Proof of Angle theoremsFrom the question, we are to complete the given proof
The proof is completed as shown below
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
Learn more on Proof of angle theorems here: https://brainly.com/question/17400232
#SPJ1