Answer:
Pio and her sister can finish the dishes in 20 minutes if they work together.
Step-by-step explanation:
Given that:
Pio can wash the dishes in 1 hour or 60 minutes
Her sister can wash the dishes in half hour or 30 minutes.
Let,
x be the time it would take for both of them.
[tex]\frac{1}{Pio's share}+\frac{1}{Her\ sister\ share} = \frac{1}{x}\\\\\frac{1}{60}+\frac{1}{30} = \frac{1}{x}\\\\\frac{1+2}{60}=\frac{1}{x}\\\\\frac{3}{60} = \frac{1}{x} \\\\\frac{1}{20}=\frac{1}{x} \\\\x=20[/tex]
Hence,
Pio and her sister can finish the dishes in 20 minutes if they work together.
simplify
( 3w + 7 ) + ( 2w + 5)
Answer:
The answer is 5w+12.
Step-by-step explanation:
Combine like terms:
(3w+7)+(2w+5)
5w+12
Which is the simplified version of 75=-seven fifths(x+5)
Answer:
-410/7
Step-by-step explanation:
Select the scenario below that demonstrates sampling error. Select the correct answer below:
a. An HOA association of a high-rise apartments building wants to examine the usefulness of its elevator. It asks each of the residents to evaluate their experience with the elevator.
b. A study is conducted to determine the favorite TV show of individuals who own a specific streaming service.
c. Twenty customers of the streaming service were randomly selected and used as the sample.
d. The fans of a soccer club were used as the sample in a survey study to determine the best performing soccer team in a tournament.
e. An online retailer reaches out only to its customers who have left positive reviews for its product and asks them to complete a survey of their experience with the retailer's products
Answer:
e. An online retailer reaches out only to its customers who have left positive reviews for its product and asks them to complete a survey of their experience with the retailer's products
Step-by-step explanation:
A sampling error happens when a sample has some kind of a bias.
One example is for example, sampling only members of one political party about a new bill.
In this question:
The correct answer is given by option e, because the retailer will have the opinions only from those with positive reviews, basically disconsidering those with negative reviews, and not giving them a clear idea of their service.
Find the value of n.
75
olet
II
n
use the distributive property to write an equivalent expression 3(v-9w+1)
Answer:
3v-27w+3
Step-by-step explanation:
3(v-9w+1) move the term in the parentheses by 3
then calculate 3v-3x9w+3 to get your solution which is 3v-27w+3
Determine dz/dt for the two following mathematical relations: a) z = xe^xy, x = t^2, y = t^-1 b) z = x^2 y^3 + y cos x, x = ln (t^2), y = sin (4t)
Answer:
a) [tex]\frac{dz}{dt} = e^{t}\cdot (2\cdot t+2\cdot t^{2}-1)[/tex]
b) [tex]\frac{dz}{dt} = [4\cdot \ln t\cdot \sin^{3} 4t - \sin 4t \cdot \sin (2\ln t)]\cdot \left(\frac{2}{t} \right)+[12\cdot (\ln t)^{2}\cdot \sin^{2} 4t + \cos (2\cdot \ln t)]\cdot (4\cdot \cos 4t)[/tex]
Step-by-step explanation:
In this exercise we use implicit differentiation to define [tex]\frac{dz}{dt}[/tex]:
a) [tex]z = x\cdot e^{x\cdot y}[/tex], [tex]x = t^{2}[/tex], [tex]y = t^{-1}[/tex]
[tex]\frac{dz}{dt} = \frac{dx}{dt}\cdot e^{x\cdot y} +x\cdot e^{x\cdot y}\cdot \left[\frac{dx}{dt}\cdot y+x\cdot \frac{dy}{dt} \right][/tex]
[tex]\frac{dz}{dt} = e^{x\cdot y}\cdot \left\{\frac{dx}{dt}+x\cdot \left[\frac{dx}{dt}\cdot y+x\cdot \frac{dy}{dt} \right] \right\}[/tex]
[tex]\frac{dz}{dt} = e^{x\cdot y}\cdot \left[(1+x\cdot y)\cdot \frac{dx}{dt}+x\cdot \frac{dy}{dt} \right][/tex](1)
[tex]\frac{dx}{dt} = 2\cdot t[/tex], [tex]\frac{dy}{dt} = -t^{-2}[/tex]
[tex]\frac{dz}{dt} = e^{t}\cdot \left[(1+t)\cdot 2\cdot t +t^{2}\cdot (-t^{-2})\right][/tex]
[tex]\frac{dz}{dt} = e^{t}\cdot (2\cdot t+2\cdot t^{2}-1)[/tex]
b) [tex]z = x^{2}\cdot y^{3}+y\cdot \cos x[/tex], [tex]x = \ln t^{2}[/tex], [tex]y = \sin (4\cdot t)[/tex]
[tex]\frac{dz}{dt} = 2\cdot x\cdot y^{3}\cdot \frac{dx}{dt} +x^{2}\cdot (3\cdot y^{2})\cdot \frac{dy}{dt}+(\cos x)\cdot \frac{dy}{dt} +y\cdot (-\sin x)\cdot \frac{dx}{dt}[/tex]
[tex]\frac{dz}{dt} = (2\cdot x\cdot y^{3}-y\cdot \sin x)\cdot \frac{dx}{dt} + (3\cdot x^{2}\cdot y^{2}+\cos x)\cdot \frac{dy}{dt}[/tex]
[tex]x = \ln t^{2}[/tex]
[tex]x = 2\cdot \ln t[/tex]
[tex]\frac{dx}{dt} = \frac{2}{t}[/tex], [tex]\frac{dy}{dt} = 4\cdot \cos 4t[/tex]
[tex]\frac{dz}{dt} = [4\cdot \ln t\cdot \sin^{3} 4t - \sin 4t \cdot \sin (2\ln t)]\cdot \left(\frac{2}{t} \right)+[12\cdot (\ln t)^{2}\cdot \sin^{2} 4t + \cos (2\cdot \ln t)]\cdot (4\cdot \cos 4t)[/tex]
If ice weighs 57 pounds per cubic foot, find the weight of a block 3 feet long, 4 feet wide,
and 6 inches thick.
6 inches is 0.5 feet.
Volume = 3 x 4 x 0.5 = 6 cubic feet
Total weight = 6 cubic feet x 57 pounds per cubic foot = 342 pounds
Tara ran 3 laps around her neighborhood for a total of 1 mile yesterday today she wants to run 2/3 of a mile. How many laps will she need to run around her neighborhood?
Answer:
2
Step-by-step explanation:
Blank divided by 6=0.2
A triangle has two sides each measure 8 cm and 12 cm choose all the possible measures of the third side of the triangle
a: 3
b: 4
c: 5
d: 8
e: 20
Answer:
Step-by-step explanation:
8 is a possible measure
Find the product
a.
21
3
Х
4
Please hurry it’s missing
Answer:
1 7/8
Step-by-step explanation:
Convert the mixed number into an improper fraction
2 1/2 = 5/2
5/2 * 3/4
Multiply across (numerator and numerator, and denominator with denominator)
5 * 3 / 2 * 4
15/8
Convert the improper fraction to a mixed number
1 7/8
Hope this helped!
Have a supercalifragilisticexpialidocious day!
limit of this equation as h approaches 0
Answer:
the 8
Step-by-step explanation:
Why is nobody answering my questions
Answer:
i don't why
Step-by-step explanation:
Answer:
probably because they are:
little points
no one knows the answer
no one wants to answer
no one see them
Step-by-step explanation:
One alloy is 2 parts iron and 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be combined to produce a 30 pound alloy that is one part iron to one part silver
Answer:
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy
Answer:
20 pounds for first 10 for second.
Step-by-step explanation:
You move down 4 units and up 5 units. You end at (-3, 4). Where did you start?
Answer:
4
Step-by-step explanation:
Answer:
(-3, 3)
Step-by-step explanation:
..............
Find the slope of the line that passes through (4, 7) and (10, 6).
Answer:
i have written and above.
11x-2+75=180 solve for x
Answer:
[tex]9\frac{8}{11}[/tex]
Step-by-step explanation:
[tex]11x-2+75=180[/tex]
simplify the left side
[tex]11x + 73 = 180[/tex]
subtract 73 from both sides
[tex]11x = 107[/tex]
divide both sides by 11
[tex]x = \frac{107}{11} = 9\frac{8}{11}[/tex]
Ava is attending a school orchestra
concert. She sees her math teacher
seated 5 feet ahead of her and her
science teacher seated 12 feet to her
right. How far apart are the two
teachers? If necessary, round your
answer to the nearest tenth.
Answer:
The two teachers are 13 feet apart
Step-by-step explanation:
Right Triangles
Ava, her math teacher, and her science teacher form a right triangle in which she is at the 90° vertex.
The distances from the three people must satisfy the Pythagora's theorem, where the distance between the two teachers (D) is the hypotenuse, thus:
[tex]D=\sqrt{5^2+12^2}[/tex]
[tex]D=\sqrt{25+144}[/tex]
[tex]D=\sqrt{169}[/tex]
D = 13 feet
The two teachers are 13 feet apart
A director of an animal shelter reviews information regarding animal adoptions. The number of dogs adopted increased an average of 20 dogs per month for 4 months. Which expression represents this change in the number of dogs adopted?
Answer:
Step-by-step explanation:
Approximately 3.2 million shelter animals are adopted each year (1.6 million dogs and 1.6 million cats). About 710,000 animals who enter shelters as strays are returned to their owners. Of those, 620,000 are dogs and only 90,000 are cats.
1/4x +4 = 1/2 solve with explanation
Answer:
x = -14Step-by-step explanation:
Given the equation
1/4x +4 = 1/2
Solving for x
Subtract 4 from both sides
1/4x +4 - 4 = 1/2 - 4
1/4 x = (1-8)/2
1/4 x = -7/2
Cross multiply
2x = -7*4
2x = -28
x = -28/2
x = -14
Hence the value of x is -14
Which expression is equal to 45 x 4–7: 4-2?
Answer:
First one
Step-by-step explanation:
the quadratic formula
Answer:
(-b±√(b²-4ac))/(2a)
Step-by-step explanation:
Answer:
This is my alt
Step-by-step explanation:
Huilan's age is two times Thomas's age. The sum of their ages is
72
. What is Thomas's age
Shape A has been translated to shape B with vector
Answer:
You need to add a picture
Step-by-step explanation:
But to find the vectr you basically need to count the squares from each of the shapes going up or down
For example:
- squares going down would be -x
- squares going up would be x
- squares going left would be -x
- squares goinf right would be x
Then you put it in the form of a fraction
Question 3
(06.01 MC)
1
What is the value of the expression 10 + ( 2 )4.48? (1 point)
a
12
b
13
С
16
d
18
HELP! I will give brainliest.
Answer:
The answer is 18.96 or in your case d.18
Step-by-step explanation:
10+ (2) 4.48
10+ 8.96
= 18.96
What is a cubic polynomial function in standard form with zeros –3, 2, and–3?
Answer:
[tex](x-2)(x+3)(x+3)=0\\[/tex]
Step-by-step explanation:
Multiply those together and combine like terms. Then make sure you order the terms in descending powers.
A picture measures 60cm by 30cm. the mat around the picture is 6cm wide. what is the area of the mat
plss answer
it this is my exam in math
Answer:
hello
Step-by-step explanation:
How did your exam go
The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The following six temperature values were randomly selected from the data.
4,12,6,9,6,11
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population standard deviation for this data set?
Answer:
Population standard deviation
Step-by-step explanation:
Mean value = 4 + 12 + 6 + 9 + 6 + 11 = 48 / 6 = 8 mean
Standard deviation with numbers close together in random samples show the numbers would be close to their average mean and would never show spread of data in lower range numbers
Range = 12 - 4 = 8 does not determine the ''spread'' for measures such as temperatures it shows the mean also as unintended.
Criteria must include lowest and highest temperature to reflect 100 years and so population standard in lower set data would reflect a reliable calculation.
As the condition has mentioned in the problem , population standard deviation would be prefer for this data set
Temperature range for year 1915 to 2015 has been given in question
= 4, 12, 6, 9, 6, 11
The standard deviation is used to calculate the spread of values in the set of data.
Mean = (4 + 12 + 6 + 9 + 6 + 11)/6
48/6 = 8
mean = 8
[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]
σ= population standard deviation
N= population size
xi= each value from the population
μ = population mean
Range = 12-4
=8
since the range is very small difference to its extreme points on sets of temperature relative b the year difference which is a century i.e, 100 years . Though, Its implies formula that has been mentioned above which is of standard deviation for population shows the perfect calculation for this lower range of temperature gives the precise information of the spread.
Thus, Population standard deviation would be preferred for the further calculations.
Learn more about Standard deviation here:
https://brainly.com/question/14747159
#SPJ2
Evaluate
Explain
A.5/6×10/11=
B. 9÷1/4=
D. 9/4 -2/3=
E. 1/5÷3=
Please explain your answers
Step-by-step explanation:
Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,
[tex]\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}[/tex]
Addition and subtraction requires that we find a common demoninator.
For example,
[tex]\frac{6}{4} + \frac{4}{3}[/tex]
The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.
[tex]\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}[/tex]
Then we add the numerators
[tex]\frac{18+16}{12} = \frac{32}{12}[/tex]
Then we should reduce.
[tex]\frac{16}{6} = \frac{8}{3}[/tex]
Division is a little trickier because we have to flip-flop the second term and then multiply. For example: [tex]\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}[/tex]