Answer:
-6x² + 5x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
Reorder based on descending powers:
-5x² - x² + 7x - 2x + 10 + 5
(-5x² - x²) + (7x - 2x) + (10 + 5)
(-6x²) + (5x) + (15)
-6x² + 5x + 15 is your answer.
~
Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The solution is [tex]\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]
Step-by-step explanation:
From the question we are told that
[tex]x = e^{-2a} cos (5v)[/tex]
and [tex]y = e^{-2a} sin(5v)[/tex]
Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as
[tex]| \frac{\delta (x,y)}{\delta (u, v)} | = | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |[/tex]
[tex]= |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right] |[/tex]
[tex]Let \ a = -2e^{-2u} cos(5v), \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)[/tex]
So
[tex]\frac{\delta (x,y)}{\delta (u, v)} | = |det \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | a * b - c* d |[/tex]
substituting for a, b, c,d
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | -10 e^{-4u} (cos^2 (5v) + sin^2 (5v))|[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]
East High wants to estimate the number of seniors who plan to go to a 4-year college. 1) Which of the following surveys probably would best represent the entire population of seniors? a) 25 glee club members are randomly selected; 16 plan to go to a 4-year college. b) 25 honor roll students are randomly selected from the senior class; 14 plan to go to a 4-year college. c) 25 seniors are randomly selected; 13 plan to go to a 4-year college. 2) There are 650 seniors at East High. Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college.
A is probably the one that would represent most of the population since it has a bigger fraction.
And it would be around 410 seniors who would plan to go to a 4-year college.
We have to determine whether the following surveys probably would best represent the entire population of seniors.
What is the probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Therefore, A is probably the one that would represent most of the population since it has a bigger fraction.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
An estimated 416 seniors plan to attend a 4-year college.
Now, For the number of seniors who plan to go to a 4-year college, we can use the proportion of seniors in the sample who plan to attend a 4-year college and apply it to the entire senior class.
From the sample in option a), 16 out of 25 seniors plan to attend a 4-year college.
To estimate the number of seniors who plan to attend a 4-year college, we can use the following proportion:
16/25 = x/650
Solving for x, we get:
x = (16/25) x 650
x = 416
Therefore, an estimated 416 seniors plan to attend a 4-year college.
To learn more about the probability visit:
brainly.com/question/25870256
#SPJ6
How do I factor 4x^2-12x^3?
Between which two integers is the positive value of the square root of 55?
I believe its between the integers of 7 and 8.
Answer:
7 and 8
Step-by-step explanation:
√55 is in between 49 and 64. Get 49 and 64 squared and you will get 7 and 8.
13.845 - 10.87-
What is this
Answer:
2.975
Step-by-step explanation:
yeah i don't have an explanation I used a calculator
Answer:
2.975
Step-by-step explanation:
The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital
About 40 of the birth weights were below?
A) 92 ounces B) 102 ounces C) 112 ounces D) 122 ounces
This question is Incomplete because it lacks the diagram of the box plot. Please find attached the diagram of the box plot
Answer:
B) 102 ounces
Step-by-step explanation:
Looking at the attached diagram, we can see the box plot it divided into different segment
The median weight of the babies = 110 ounces
The maximum weight of the babies is between = 140 and 130, approximately let's say 135 ounces
The minimum weight is 80 ounces
Then the box in the middle is divided into 3
It has the First Quartile
Median
And third Quartile
Since we have 160 infants born in the local hospital, about 40 of the birthweights we fall into
= 40/160 = 1/4
1/4 represents the first Quartile
Looking at the box plot, 40 of the birthweights were below 102 ounces.
To solve n+7=15 you should first
Answer:
Collect like terms and simplifySubtract 7 from both sidesStep-by-step explanation:
METHOD 1
[tex]n+7=15\\n =15-7\\n = 8[/tex]
METHOD 2
[tex]n+7-7=15-7\\n =8[/tex]
Answer:
Subtract 7 from both sides.
Step-by-step explanation:
Step 1:
n = 15 - 7
Answer:
n = 8
Hope This Helps :)
hellpp -4c - 9.6 +5c = 0
Answer:
c =9.6
Step-by-step explanation:
[tex]-4c - 9.6 +5c = 0\\\\\mathrm{Group\:like\:terms}\\-4c+5c-9.6=0\\\\\mathrm{Add\:similar\:elements:}\:-4c+5c=c\\c-9.6=0\\\\\mathrm{Add\:}9.6\mathrm{\:to\:both\:sides}\\c-9.6+9.6=0+9.6\\\\Simplify\\c=9.6[/tex]
Answer:
c = 9.6
Step-by-step explanation:
Let's look at our equation; - 4c - 9.6 + 5c = 0. Now we need to collect the like terms which are -4c and 5c.
- 4c - 9.6 + 5c = 0
5c - 4c - 9.6 = 0
We get: c - 9.6 = 0
Now we will add 9.6 on each side to see what c is equal to.
c - 9.6 = 0
+9.6 +9.6
c = 9.6
Yay! We got our answer! Nice job everyone!
SUMA Y RESTA DE FRACCIONES
• Resuelve los siguientes problemas.
1.- Valentina, Camila y Hania cumplen años el mismo día. Al momento de partir el pastel a
1 / 3
Valentina le tocó 6 , a Camila 3 y a Hania partes del pastel.
6
¿Quién comió más pastel? Camila
¿Qué fracción de pastel comieron entre las tres?
¿Qué fracción de pastel sobró?
Answer:
Camila y Hania fueron las que comieron más pastelEntre las tres comieron [tex]\frac{5}{6}[/tex] de pastelSobró [tex]\frac{1}{6}[/tex] de pastelStep-by-step explanation:
La pregunta está mal formulada. Debería ser :
A Valentina le tocó 1/6 , a Camila 1/3 y a Hania 2/6 del pastel.
Para responder a la pregunta de quién comió más pastel podemos proceder de varias formas.
Una forma es expresar las fracciones de manera decimal :
Valentina : [tex]\frac{1}{6}=0.1666[/tex]
Camila : [tex]\frac{1}{3}=0.3333[/tex]
Hania : [tex]\frac{2}{6}=0.3333[/tex]
Así nos daríamos cuenta de que Camila y Hania fueron las que comieron más pastel (Vale aclarar que Camila y Hania comieron la misma cantidad).
Otra posible forma es igualando los denominadores de las fracciones y comparando sus numeradores.
Por ejemplo, [tex]\frac{1}{3}[/tex] se puede expresar como [tex]\frac{1}{3}=\frac{2}{6}[/tex] (multiplicamos por dos tanto al numerador como al denominador) ⇒ las nuevas fracciones correspondientes a lo que comió cada una son :
Valentina : [tex]\frac{1}{6}[/tex]
Camila : [tex]\frac{2}{6}[/tex]
Hania : [tex]\frac{2}{6}[/tex]
Dado que todas las fracciones tienen el mismo denominador (seis) comparamos ahora sus numeradores y nos damos cuenta de nuevo que Camila y Hania fueron las que comieron más pastel.
Con las tres fracciones con el mismo denominador (seis) procedemos a responder la segunda pregunta :
¿Qué fracción de pastel comieron entre las tres?
Para averiguarlo sumaremos las fracciones de pastel que comió cada una :
[tex]\frac{1}{6}+\frac{2}{6}+\frac{2}{6}=\frac{5}{6}[/tex]
Encontramos que entre Valentina, Camila y Hania comieron [tex]\frac{5}{6}[/tex] de pastel.
Finalmente, para averiguar que fracción de pastel sobró debemos restarle al total (uno) la fracción de pastel que comieron entre las tres :
[tex]1-\frac{5}{6}=\frac{1}{6}[/tex]
Esto se debe a que el ''uno'' representa el ciento por ciento del pastel (el total). Encontramos que sobró [tex]\frac{1}{6}[/tex] de pastel.
Camila fue quien más comió, ya que comió el doble que las demás. Entre las tres, comieron 2/3 del pastel, por lo que sobró 1/3 del mismo.
Dado que Valentina, Camila y Hania cumplen años el mismo día, y al momento de partir el pastel a Valentina le toco 1/6, a Camila 1/3 y a Hania 1/6 partes del pastel, para determinar quién comió más pastel, qué fracción de pastel comieron entre las tres y qué fracción de pastel sobró se deben realizar los siguientes cálculos:
¿Quién comió más pastel?1/6 = 0.1661/3 = 0.333Por lo tanto, Camila fue quien comió más pastel. ¿Qué fracción de pastel comieron entre las tres?1/6 + 1/6 + 1/3 = 2/6 + 1/3 = 2/3Por lo tanto, entre las tres comieron 2/3 del pastel.¿Qué fracción del pastel sobró?1 - 2/3 = 1/3Por lo tanto, sobró 1/3 del pastel.Aprende más en https://brainly.com/question/1301963
please i need help!! Translate these words into symbols: The sum of fifteen and a number q equals the product of six and a number q
Answer:
15 + q = 6q
Step-by-step explanation:
what is 2(4 – 16) – (–30)
What information can you obtain about the scores in a regular frequency distribution table that is not available from a grouped table.
A. The number and width of the class intervals
B. The exact frequency for each category on the scale of measurement
C. The overall frequency for each class interval
Answer: B. The exact frequency for each category on the scale of measurement
Step-by-step explanation: The main difference between a grouped table and regular frequency distribution exists in the fact that ; grouped table takes in a defined range of (X) values, that is takes more than one individual value per group and takes the frequency of all scores or values in the group, hence giving the frequency of the scores in the interval rather than the frequency of each individual score. On the other hand, the regular frequency distribution treats values or scores individually and then takes the frequency of each score. This way a regular frequency distribution enables us to know the exact number or distribution of each individual score.
The information in a regular frequency distribution table that is not available from a grouped table is (b) the exact frequency for each category on the scale of measurement
There are several similarities between a regular frequency table, and a grouped frequency table.
However, both frequency tables have a major difference.
This difference is in the frequency of the data they represent
While a regular frequency table shows the exact frequency of each data element, a grouped frequency table cannot show the exact frequency of each data element.
Hence, the true option is (b)
Read more about frequency distribution table at:
https://brainly.com/question/1094036
FIll in the blank to make the equation true: (−8−4)÷[]=−6
Answer:
2
Step-by-step explanation:
-8-4/x= -6
multiply x to both sides of the equation.
-8-4= -6x
solve -8-4. (-12)
-12= -6x
divide both sides by -6.
2=x
Convert 1 million seconds into years (round to 3 decimal places)
Answer:
that would be 0.032 because 1 million secs is 11 days 13 hours 46 minutes and 40 secs
Answer:
0.032 years.
Step-by-step explanation:
1 year = 365 * 24 * 60 * 60 = 31,536,000 seconds.
= 1000000 / 31,536,000
= 0.03170979
Which of the following statements best describes adjacent angles
Answer:
The correct answer to this would be D, adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a common side as well as a common vertex.
I hope this helps :)
The statement that best describes adjacent angles is that adjacent angles share a side.
What is a vertex ?A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.
According to the given question the best description of adjacent angle is that they share a side.
We can say that adjacent angles are those angles which are placed next to each other.
Adjacent angle also share a common vertex but they do not overlap each other.
learn more about vertex here :
https://brainly.com/question/12563262
#SPJ2
Last year, Dana grew 1/2 of an inch and her brother grew 1/8 of an inch. How much more did Dana grow than her brother?
Answer:
3/8 inch
Step-by-step explanation:
1/2 of an inch is equal to 4/8
4/8-1/8=3/8
Hope this helps :-)
Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi.
A. 18 pi in.
B. 324 pi in.
C. 54 pi in.
D. 36 pi in.
Answer:
36pi. in. answer is D
Step-by-step explanation:
C = 2(18)pi= 36pi in
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank?
Step-by-step explanation:
the answer would be 4 glasses of water
(2x)4 written without exponents
Answer:
(2x)(2x)(2x)(2x)
Step-by-step explanation:
I assume the 4 is an exponent.
(2x)^4 = (2x)(2x)(2x)(2x)
The mass of Earth is 5.97 x 1024 kilograms, and the mass of Venus is 4.87 x 1024 kilograms. What is the difference between the mass of the two planets?
A 1.084 x 1025 kilograms
B 3.6 x 1025 kilograms
1.1 x 1024 kilograms
D 2.91 x 1024 kilograms
INT
Answer:
1126.4
Step-by-step explanation:
5.97 x 1024 =6113.28
4.87 x 1024= 4986.88
6113.28-4986.88 =1126.4
Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.
Answer here
Answer:
i think 2 and 4
Step-by-step explanation:
5/8x3/5
help please
Answer:
3/8
Step-by-step explanation:
reduce the numbers with the greates componentes factor. 5 and then calculate the product
....................
Answer:
what's the Question???
Step-by-step explanation:
If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages
Answer:
the sole proprietor is personally liable for damages the injured woman is awarded by the courts.
Step-by-step explanation:
BC=6x+4, AC=52, and AB=4x+8 find BC
Answer:
i'm not sure if it is the right answer or not
Step-by-step explanation:
Let's assume AC is a straight line and B is one the line, between A and C
AC-AB=BC
52-4x-8=6x+4
10x=40
x=4
--> BC=6x+4=6.4+4=28
3/2•3/2•3/2•3/2 rewrite product in exponential form
Answer:
1.5^4
Step-by-step explanation:
The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.
The data below contain the number of defects observed on each of 250 lcd screens.0 1 2 4 5 5 3 4 3 4 4 2 2 1 0 2 1 3 4 1 4 5 1 2 2 1 4 4 2 0 3 2 1 1 1 1 1 0 0 3 5 4 1 1 5 1 5 1 5 3 2 3 3 4 1 1 0 1 0 2 1 3 0 2 5 2 3 0 2 3 4 2 2 0 4 2 1 3 3 1 2 1 5 1 0 1 1 1 1 1 3 2 0 3 5 5 1 2 5 3 1 3 1 3 4 5 1 0 3 6 1 1 1 1 1 1 1 2 1 3 5 0 1 5 3 0 4 5 3 4 3 4 2 4 3 1 3 5 2 1 5 3 2 0 4 3 1 1 1 3 5 1 3 1 1 2 1 6 1 5 4 0 4 2 4 2 4 2 1 1 4 1 4 1 1 3 5 3 4 1 1 4 1 0 5 2 2 1 2 4 1 1 4 5 3 2 1 2 0 3 3 5 6 2 1 1 1 1 0 0 1 1 4 3 1 3 1 4 5 3 3 0 6 2 6 3 1 1 1 1 0 5 1 0 2 1 1 3 2 1 3 4 3 2 2 1 1 3 6 1Required:a. What proportion of the screens have more than 4 defects? Give your answer to three decimal places.b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.
Answer:
0.128 ; 0.872 ; 0.748 ; 0.124 ; 0.252
Step-by-step explanation:
Given the data above ;
The frequency distribution generated for the number of defects observed on each of 250 lcd screens are as follows :
__number of defects___frequency
____0 _______________24
____1 _______________82
____2 _______________38
____3 _______________43
____4 _______________31
____5 _______________26
____6 _______________6
A.) . What proportion of the screens have more than 4 defects? Give your answer to three decimal places.
More than 4 defects = (number of 5 defects + 6 defects) / total number of defects)
(26 + 6) / 250 = 32 / 250 = 0.128
b. What propotion of the screens have at most 4 defects? Give your answer to three decimal places.
Number of (0 + 1 + 2 + 3 + 4) defects
= (24 + 82 + 38 + 43 + 31) / 250
= 218 / 250 = 0.872
c. What proportion of the screens have fewer than 4 defects? Give your answer to three decimal places.
Number of (0 + 1 + 2 + 3) defects
= (24 + 82 + 38 + 43) / 250
= 187 / 250 = 0.748
d. What proportion of the screens have exactly 4 defects? Give your answer to three decimal places.
Number of 4 defects = 31
= 31 / 250
= 0.124
e. What proportion of the screens have at least 4 defects? Give your answer to three decimal places.
Number of (4 + 5 + 6) defects
= (31 + 26 + 6) / 250
= 63 / 250
= 0.252
PLEASE HELP! 10 POINTS! The pie chart shows the breakdown of sales for a sporting goods store. If the store made 4,560 sales, how many of them where shirts?
Answer:
≈ 502
Step-by-step explanation:
The pie chart shows that shirts made up 11% of the sales made by the sporting goods store.
The number of sales that were shirts = 11% of the total sales
Total sales made by the store is given as 4,560
Number of sales that were shirts = 11/100 × 4,560
= 0.11 × 4,560
= 501.6
Number of sales made that were shirts is approximately 502.
Answer:
502
Step-by-step explanation:
501.6 to be exat
Please help what is the area?
Answer: 70 square units
A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.
Answer:
f= The proportion of registered voters who will vote Yes on the measure. a= The 1000 registered voters who participated in the study. b= The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. e= Yes or No for each registered voter. f= All registered voters in the US. d= The list of Yes and No answers that were given by the 1000 participants in the study.Step-by-step explanation:
See attached. Continuation of the question:
__________The proportion of registered voters who will vote Yes on the measure. __________The 1000 registered voters who participated in the study. __________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. _________Yes or No for each registered voter All registered voters in the US _________The list of Yes and No answers that were given by the 1000 participants in the study a. Sample b. Statistic c. Parameter d. Data e. Variable f. PopulationSolutionComparing definitions of the vocabulary words on the bottom of the question, we can match the examples as follows:
Parameter = The proportion of registered voters who will vote Yes on the measureSample = The 1000 registered voters who participated in the studyStatistic = The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measureVariable = Yes or No for each registered voterPopulation = All registered voters in the USData = The list of Yes and No answers that were given by the 1000 participants in the study