Answer:
The answer is 7،3
Step-by-step explanation:
\(3 {(x - 5)}^{2} - 1_11 =0 \\ = 3( {x}^{2} - 10x + 25) - 12=0 \\ = 3 {x}^{2} - 30x + 75 - 12=0 \\ = 3 {x}^{2} - 30x + 63=0
(x-7)(x-3)=0
X=7
X=3
add 1
divide by 3
square root
add 5
by following these steps you find that x = 7
4. The length of a rectangle is represented by 8x-3. The width of the
rectangle is represented by 2x. The perimeter is 34 centimeters. Which
equations represent the perimeter? Choose all the correct answers.
A. 4(2x+8x-3)=34
B. 2(2x)+2(8x-3)=34
C. 2x+8X-3+2x+8x-3=34
D. 20x-6=34
E. 2x(8x-3)=34
I NEED THIS ASAP!!!!!
Answer:
B, C, & D
Step-by-step explanation:
thank u :)!! for the help
The path of a rotation is defined by a
Axis
Step-by-step explanation:
A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.
Find the matrix A of the rotation about the y -axis through an angle of pi/2, clockwise as viewed from the positive y -axis. A=
The matrix A of the rotation about the y-axis through an angle of π/2 clockwise as viewed from the positive y-axis is \(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\).
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
To find the matrix A of the rotation about the y-axis through an angle of π/2 (90 degrees) clockwise as viewed from the positive y-axis, we can use the following rotation matrix:
\(A=\left[\begin{array}{ccc}\cos (\theta) & 0 & -\sin (\theta) \\0 & 1 & 0 \\\sin (\theta) & 0 & \cos (\theta)\end{array}\right]\)
Substitute θ with π/2, which is the angle of rotation.
\(A=\left[\begin{array}{ccc}\cos \left(\frac{\pi}{2}\right) & 0 & -\sin \left(\frac{\pi}{2}\right) \\0 & 1 & 0 \\\sin \left(\frac{\pi}{2}\right) & 0 & \cos \left(\frac{\pi}{2}\right)\end{array}\right]\)
Compute the trigonometric values for cos( π/2) and sin( π/2).
cos( π/2) = 0
sin( π/2) = 1
Substitute the computed values back into the matrix.
\(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\)
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what types of deviations from ideal pronunciation of individual words occurs when words are strung together
When words are strung together in speech, deviations from ideal pronunciation can occur due to various factors such as coarticulation, assimilation, elision, and reduced vowel sounds.
When words are spoken in rapid succession, coarticulation plays a significant role in shaping the pronunciation of individual words. Coarticulation refers to the influence of neighboring sounds on the production of a particular sound. For example, in the phrase "black cat," the /k/ sound in "black" may be influenced by the following /k/ sound in "cat," resulting in a slight modification or assimilation of the sound.
Assimilation occurs when sounds become more similar to nearby sounds. For instance, in the phrase "handbag," the /n/ sound in "hand" may assimilate to the /b/ sound in "bag," making it nasal (as in "hambag") or even causing complete elision of the /n/ sound. Elision refers to the omission or deletion of sounds, often in unstressed or weak positions, such as the reduction of the /ə/ vowel sound in "a" or "the" to a schwa sound, as in "uh" or "thuh."
Additionally, when words are strung together, certain vowel sounds may be reduced or shortened to accommodate the natural rhythm of speech. This reduction can result in changes to the stress patterns and lengths of vowels within words. Overall, these deviations from ideal pronunciation in connected speech are a natural part of spoken language and contribute to the fluidity and efficiency of communication.
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I need help as fast as possible
Answer:
36°
Step-by-step explanation:
Given,
Measurement of <3 = 2x+8
Measurement of <4 = 6x+12
Since both are supplementary,
Therefore,
<3 + <4. = 180° [linear pair]
=> 2x + 8 + 6x + 12 = 180
=> 2x + 6x + 8 + 12 = 180
=> 8x + 20 = 180
=> 8x = 180 - 20 = 160
\( = > x = \frac{160}{8} \)
=> x = 20
Now as we have got the value of x,
According to the question measurement of <4 is,
<4 = 6×4 + 12 = 24 + 12 = 36° (Ans)
HELP PLEASE GET BRAINLIST
solve for x,
90 - 3/2x ≤ 30
Answer:
this is the answer \(x\geq 40\)
hope this helps!
Answer:
x is greater than or equal to 40
Step-by-step explanation:
30-90
-3/2x <-60
x>40
Determine which two values the following number is between. V120
A: 12 and 13
B: 9 and 10
C: 11 and 12
D: 10 and 11
Answer:
The answer is C: 11 and 12.
Step-by-step explanation:
Answer 15 please algebra one
Answer:
a
Step-by-step explanation:
To obtain the inverse, rearrange the relation making x the subject
y = x² + 4 ( subtract 4 from both sides )
y - 4 = x² , or
x² = y - 4 ( take square root of both sides )
x = ± \(\sqrt{y-4}\)
Change y into terms of x with x = \(f^{-1}\) (x) , that is
\(f^{-1}\) (x) = ± \(\sqrt{x-4}\) → a
Nigel has $20 to spend at the movie theater. He wants to see the matinee showing of a 3D movie and buy snacks.
Movie Ticket Price
Matinee 2D $5.25
Matinee 3D $7.50
Regular Admission 2D $8.50
Regular Admission 3D $9.75
Define a variable and write an inequality to represent the amount of money Nigel can spend on snacks. Then solve the inequality and interpret the solution. Explain your reasoning.
Answer: Let's define the variable "s" as the amount of money Nigel can spend on snacks.
To write an inequality to represent this situation, we can start by finding the cost of the matinee 3D movie ticket, which is $7.50.
The total amount of money Nigel has to spend is $20, so he can spend the remaining amount on snacks. Therefore, the amount he can spend on snacks, "s", can be represented by:
s ≤ $20 - $7.50 = $12.50
This means that Nigel can spend up to $12.50 on snacks and still be able to afford the matinee 3D movie ticket.
To solve the inequality, we simply need to isolate the variable "s" by subtracting $12.50 from both sides of the inequality:
s - $12.50 ≤ 0
s ≤ $12.50
The solution to the inequality is that Nigel can spend up to $12.50 on snacks.
Interpreting the solution, we can see that as long as Nigel spends $12.50 or less on snacks, he will have enough money to buy the matinee 3D movie ticket. If he spends more than $12.50 on snacks, he will not have enough money to buy the ticket.
Step-by-step explanation:
Dalvin took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $2 per mile. The total fare was $30.80, not including the tip. Which tape diagram could be used to represent the context if mm represents the number of miles in the taxi ride?
Answer:
The equation should be 2.5x+1.8=59.3
Step-by-step explanation:
The number of miles in the taxi ride is 10
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Dalvin took a taxi from his house to the house. The taxi company charged a pick-up fee of $4.80;
The fare per mile is $2
The total fare was $30.80, not including the tip;
Let the number of mile is x
Total fare = pick up fee + fee per mile
30.80 = 4.80 + 2x
2x = 26
x = 13
Therefore, the number of miles by algebra Dalvin took a taxi will be 13
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Question 1-
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Question 2-
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
A. The slope is 1/4, which means that the amount of the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
Question 1-
To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.
Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.
Question 2-
To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:
Slope = (change in y) / (change in x)
However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:
A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.
Mary, Katherine, and Alex share the bill at a restaurant after a meal. Mary pays for of the bill, Katherine pays for of the bill, and Alex
pays for the rest. What is the ratio of Mary's share to Katherine's share to Alex's share?
The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.
To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.
So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.
To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.
Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1
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Please help!!!!
Let C = 2.32 N + 34180 represent the cost, C, of raising a child to 18 y on an income, N. If the cost is $200,000, what is the income?
A. $71,474
B. $72,382
C. $73,521
D. $74,856
Answer:
71,474
Step-by-step explanation:
Took the test
Answer:
The answer is 71,474
Step-by-step explanation: First you must subtract 34,180 from 200,000
200,000 - 34,180 = 165,820.
After that, you divide the answer by N(2.32)
165,820 ÷ 2.32 = 71,474
please help ! I’m stuck !! ‼️
Answer:
A. they go on forever
Step-by-step explanation:
from the picture the lines will never meet
the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
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On Earth you weigh 54.5 kilograms, while on the moon you weigh 9,071 grams. How many more grams do you weigh on Earth than on the moon?
plz help with this one right here
Answer:
288
Step-by-step explanation:
Find g(x), where g(x) is the translation 17 units right and 15 units down of f(x)=
–
3(x+8)2–6.
Answer:
Step-by-step explanation:
A computer generates a 4 digit code from the numbers 0 1 2 3 4 5
There are 360 different codes that can be made, and the probability that the code is between 2000 and 3000 is P = 1/6.
How many different codes van be made?There are 6 different digits, and we know that the digits can't be repeated, then for each one of the 4 digits we will have 6 options, 5, 4, 3 respectively.
Then the total number of codes will be:
C = 6*5*4*3 = 360
360 different codes.
b) Now we want to find the probability that the code is between 2000 and 3000, then we only look at the number of codes that start with the 2.
Then for the second digit we have 5 options (2 is already taken)
for the second we have 4 options
for the last one we have 3 options.
So the number of codes that start with 2 are:
C' = 5*4*3 = 60
Then the probability that a random code starts with 2 is:
P = 60/360 = 1/6
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Fill in the missing number. % of 70 = 63
a report summarized a survey of 2,305 working adults. the report indicates that 489 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. the sample was selected in a way designed to produce a representative sample of working adults.
By using the concept of confidence interval, it can be concluded that-
Confidence interval = (0.1954, 0.2286)
We are 95 % confident that the true proportion of working adult who
were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years falls within this interval
Second option is correct
What is confidence interval?
Suppose there is a parameter which is unknown. Confidence interval will give the range of this unknown parameter.
Let the unknown parameter be θ, A confidence interval for the parameter θ is an interval (u, v)
where P(u < θ < v) = 1 - α, where P is the probability
α is called level of significance
Total number of working adults = 2305
Number of working adults surveyed = 489
Proportion of sample surveyed = \(\frac{289}{2305}=\) 0.212
Standard error = \(\sqrt{\frac{0.212 \times ( 1- 0.212)}{2305}} = 0.0085\)
At 95% confidence interval, z value = 1.96
Margin of error = 1.96 \(\times\) 0.0085 = 0.0166
Lower bound for the confidence interval = 0.212 - 0.0166 = 0.1954
Upper bound for the confidence interval = 0.212 + 0.0166 = 0.2286
Confidence interval = (0.1954, 0.2286)
Now since this is a problem on confidence interval, so a concept of confidence will come into question.
So, we are 95 % confident that the true proportion of working adult who
were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years falls within this interval
Second option is correct
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Complete Question
The complete question has been attached
Three positive integers have a mean of 4 and a range of 7. Find the three numbers.
The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).
What is defined as the positive integers?Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.
Natural numbers are another word for positive integers.Natural numbers are positive counting numbers (1, 2, 3, 4,...). The whole numbers are obtained by adding the number 0 to the natural numbers (0, 1, 2, 3, ...). Integers include 0 as well as the natural numbers and their inverses: (..., -3, -2, -1, 0, 1, 2, 3, ...).Now, as per the given question;
Let the three number be a, b and c.
The range of the number are given as 7.
Then,
(0 < a < 7), (0 < b < 7) and (0 < c < 7)
The mean of the number is defined as 4.
Thus,
(a + b + c)/3 = 4
So, (a + b + c) = 12.
Now, apply the Enumeration method;
Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,
a = 6, b = 1 and c = 5. ora = 6, b = 2 and c = 4. ora = 6, b = 3 and c = 3.Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,
a = 5, b = 1 and c = 6. ora = 5, b = 2 and c = 5. ora = 5, b = 3 and c = 4.Therefore, the given three positive integers could be;
(6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).
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Mario travels 180 miles in 2.5 hours of Mario travels at the same right how far can Mario travel in 12.5 hours
Answer:
900 miles
Step-by-step explanation:
well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900
Direction: Use your scientific calculators to find the measure of angle 0, to the nearest minute.
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
All the measure of angle θ, to the nearest minute are,
⇒ tan 35° = 0.70
⇒ sin 60° = 0.87
⇒ cos 25° = 0.91
⇒ tan 75° = 3.73
⇒ cos 45° = 0.71
⇒ sin 20° = 0.34
⇒ tan 80° = 5.67
⇒ cos 40° = 0.77
We have to simplify all the measure of angle θ, to the nearest minute as,
1) tan 35 degree
⇒ tan 35° = 0.70
2) sin 60 degree
⇒ sin 60° = √3/2 = 0.87
3) cos 25 degree
⇒ cos 25° = 0.91
4) tan 75 degree
⇒ tan 75° = 3.73
5) cos 45 degree
⇒ cos 45° = 1/√2 = 0.71
6) sin 20 degree
⇒ sin 20° = 0.34
7) tan 80 degree
⇒ tan 80° = 5.67
8) cos 40 degree
⇒ cos 40° = 0.77
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Combine the like terms to create an equivalent expression:−3z−z
Answer:
-4z
Step-by-step explanation:
Hi student! Let me help you out.
_____________________
Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us \(\mathrm{-4z}\).
\(\mathrm{-3z-z=-4z}\). -4z is our final answer.
Hope that this helped you! have a good day ahead.
Best Wishes!
\(\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star\)
◈◈-Greetings!-◆◆
___________________
Answer:
-4z
Step-by-step explanation:
-3z-z
On combining like terms,
= -4z
Here,the terms are -3z and -z, where - and - combines and + is the result,so we need to add the expression.Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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Visitors to the amusement park must be at least 54 inches tall to ride the roller coaster. How tall might a visitor riding the roller coaster be?
Answer:
Step-by-step explanation:
The visitor might be exactly 54 inches or above 54 inches.
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Step-by-step explanation:
kruitika- 42
Gordorn-31
so krutila was 11 when they gave birth to Gordon
she was 23 when they gave birth to pip
The youngest of them is pip so pip is =19
Find the slope that passes through 9,7 and 2,4
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1