Therefore , the solution of the given problem of equation comes out to be x is around -2.9 when it is rounded to the nearest tenth.
How do equations function?Variable words are widely used in complex algorithms to establish consistency between two opposing claims. Academic expressions called equations are used to show the equality of various academic figures. Instead of producing a single expression that breaks 12 into two parts that can be utilized with info from y + 7, the normalisation method in this case produces b + 7.
Here,
By focusing on the term with the square root, we may begin to solve the equation:
=> x + x√2 = 10
=> x(1 + √2) = 10
=> x = 10 / (1 + √2)
Now that we have rationalised the denominator, we may simplify this expression:
=> x = 10 / (1 + √2) * (1 - √2) / (1 - √2)
=> x = 10(1 - √2) / (1 - 2)
=> x = -10(1 - √2)
=> x ≈ -2.9
If we round this number to the nearest tenth, we get:
To the nearest hundredth, x -2.9 is -2.9.
Hence, x is around -2.9 when it is rounded to the nearest tenth.
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WILL GIVE BRAINLIEST, please answer quickly!
Which expressions have an estimated value that is close to 12? Check all that apply.
A. 1/5 x 60.14
B. 2/7 x 42/85
C. 3/8 x 31.54
D. 4/7 x 14.82
E. 5/8 x 9.88
Answer:
It would be A and C
Step-by-step explanation:
a ends up being equal to 12.028 and c ends up being equal to 11.827
Answer:
A, B, and C would be your 100% correct answer! :)
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER ASAP!!
Answer:
1.-12
2.-10
3.11
4.14
Step-by-step explanation:
I'm not explaining that much work XD
Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?
O 81 cm
O 162 cm
O 100 cm
O 58 cm
Answer:
RD = 162 cm
Step-by-step explanation:
LD = 2 RL = 2* 54 = 108
RD = RL + LD
RD = 54 + 108
RD = 162 cm
The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Point L is a centroid of the triangle FWD, If RL = 54 cm
From the centroid definition:
LD = 2RL
LD = 2×54 = 108 cm
RD = RL + LD
RD = 54 + 108
RD = 162 cm
Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
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Help due tomorrow would highly appreciate this.
The value of the part of side of triangle given as x is equal to 11/3 in simplified fraction.
What is fraction?
A fraction is referred to as the part of something a whole in maths. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter (¼). Fractions can make calculations faster and easier through making it easier to distribute and judge different numbers. The depiction of fractions appears easier than when decimal values are used.
As given in the question, in the given triangle DE is parallel to AC,
It implies that the ration of the sides are equal.
i.e. AD/DB = CE/EB
Putting the value from the figure given in the question,
we get,
11/x = 9/3
11/x = 3
x = 11/3
Therefore, The value of the x is 11/3 in the form of simplified fraction.
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Please help me I need to finish this :)
Calculate the approximate and exact doubling times for annual percentage increases of 5%, 10%, 15%, and 20%.
The exact doubling time calculation provides a more accurate estimate of how long it will take a given value to double.
Approximate Doubling Time:
5% - 14 Years
10% - 7 Years
15% - 5 Years
20% - 4 Years
Exact Doubling Time:
5% - 14.2 Years
10% - 6.93 Years
15% - 4.77 Years
20% - 3.58 Years
Approximate doubling times are calculated by dividing 72 by the percentage rate of growth. This method assumes a consistent rate of growth, which is not always the case. The exact doubling time can be calculated by using the formula T=ln(2)/ln(1+r) where r is the rate of growth. This formula accounts for the compounding effect of the growth rate, which is not taken into account in the approximate calculation. For example, for a 5% annual growth rate, the approximate doubling time is 14 years, but the exact doubling time is 14.2 years. The exact doubling time calculation provides a more accurate estimate of how long it will take a given value to double.
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The equation of a straight line that is parallel to a straight line. 2y =3x-1
The equation of the line that is parallel to 2y = 3x - 1 and passes through the point (4, 2) is: y = (3/2)x - 4
To find the equation of a straight line that is parallel to the line 2y = 3x - 1, we need to remember that parallel lines have the same slope.
First, let's rearrange the given equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:
2y = 3x - 1
y = (3/2)x - 1/2
So the slope of this line is 3/2.
Now, if we want to find the equation of a line that is parallel to this line, we just need to use the same slope. Let's call the new line y = mx + b, where m is the slope we just found and b is the y-intercept we need to find.
So the equation of the parallel line is:
y = (3/2)x + b
To find the value of b, we need to use a point on the line. Let's say we want the line to go through the point (4, 2):
2 = (3/2)(4) + b
2 = 6 + b
b = -4
So the equation of the line that is parallel to 2y = 3x - 1 and passes through the point (4, 2) is: y = (3/2)x - 4
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The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys
Step-by-step explanation:
It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.
In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.
In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".
They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.
They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.
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Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
Which equation can Amy use to find how many games of Balloon Bouncer, g, she played?
The equation that Amy can use to find how many games of Balloon Bouncer, g, she played is; g = (35 - 2a)/3
How to solve Algebraic equations?
We are told that Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score.
Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
Thus, the expression for the number of balloon bouncer games played at the arcade is :
2a + 3g = 35
Let :
Glimmer arcade, a = $2 per game
Balloon bouncer, g = $3 per game
Total game tokens = 35
Her spending could be represented using the expression :
2a + 3g = 35
g = number of balloon bouncer games played
Thus, making g the subject of the formula we have;
g = (35 - 2a)/3
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Answer:
3g + 2 = 35 is the answer.
She played 11 games.
Step-by-step explanation:
pleaseee help me ill give brainliest IM BEING TIMED
-STATISTICS question!!!-
Answer:
The data given from the graph proves that Catherine and Ana's suspicions were correct and the athletes at their school do indeed have a quicker reaction time than other students at their school. The average reaction time for the athletes ranges from 240 - 300, while the normal student's reaction time ranges from 260 - 330. There still should be more experiments to test this theory to get more detailed and accurate results because there are still athletes that have the same reaction time as normal students and the dot away from the boxes shows that there is a athlete that has a slower reaction rate than all of the normal students. So it is safe to say there is indeed a difference in reaction times, but not a drastic one.
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
For the compound inequalities below (5-7), determine whether the inequality results in an overlapping region or a combined region. Then determine whether the circles are open are closed. Finally, graph the compound inequality. Simplify if needed.5. x < 4 OR x >_ 13
The given compound inequality is
\(x<4,or,x\ge13\)Notice that the solution for x would be all real numbers less than 4, and greater than or equal to 13. If we graph this solution, it would be
As you can observe, the solution sets don't overlap with each other.What's 9 + 10 ? give me the right answer
Answer:
19
Step-by-step explanation:
Add 9 to 10
Pleasee help I need it lol
Answer:
C ≥ 9
Step-by-step explanation:
Since they have already spent 15 dollars, and they will spend more than 23, it should at least be 24, but can also be more than 24, so C is greater than or equal to 9 :D
Calculate the approximate length of each side of ΔABC with coordinates A(1, 1), B(4, 4), and C(5, 1). Then, classify the triangle as scalene, isosceles, or equilateral.
AB ≈ _________
BC ≈ _________
AC ≈ _________
So, ΔABC is __________
Step-by-step explanation:
Line AB = sqrt18 = 4.24
Line BC = sqrt10 = 3.16
Line AC = 4
Since the triangle cannot be isosceles or equilateral, the best option here is scalene.
Answer:
Line AB = 4.24
BC = 3.16
AC = 4
So ABC is scalene.
A statistics professor wants to compare grades in two different classes of the same course. This is an example of a paired sample.
True or False
The given statement "A statistics professor wants to compare grades in two different classes of the same course" is True because this experimental design is useful in reducing the impact of extraneous variables and ensuring that the results are reliable and valid.
This is an example of a paired sample. A paired sample is a type of experimental design where each member of one group is matched with a member from the other group based on specific criteria. In this scenario, the statistics professor is comparing grades in two different classes of the same course. This means that each member of one group (class A) is matched with a member of the other group (class B) based on their enrollment in the same course.
Paired samples are often used in scientific research to eliminate the effects of extraneous variables that might affect the results of an experiment. By pairing individuals in two groups based on certain criteria, researchers can control for individual differences and test the effectiveness of different treatments or interventions more accurately.
In the case of the statistics professor, pairing the two classes of the same course is essential to ensure that any differences in grades between the two groups are not due to differences in the course content, teaching styles, or other factors that could influence the grades of the students.
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HEELP I'll give brainliest
Answer:
28.3
Step-by-step explanation:
12/20 = 17/x
cross multiply
12x=340
divide each side by 12
x=28.3333333333.......
round it to nearest tenth
28.3
Help SOS Help SOS
I Dont Know The Answer
Answer:
a) 45
b) 8
Step-by-step explanation:
There are a couple of ways to look at this.
1) Looking at the ratio, you can figure one number from the other.
2) Find what number the ratio must be multiplied by to give the ratio numbers you need
__
a)The ratio tells you the number of children is 9 times the number of adults. If there are 5 adults, there can be 9×5 = 45 children.
You recognize that multiplying the number of adults by 5 will give 5 adults. Then multiplying the number of children by 5 will give the corresponding number of children:
1 : 9 = 5 : 45 (both numbers multiplied by 5)
There can be 45 children.
__
b)The number of adults needed is 1 for every 3 children, or 1/3 of the number of children. When there are 24 children, 1/3×24 = 8 adults are needed.
We recognize that 24 is 3 times 8, so the ratio must be multiplied by 8 to make the children number match:
1 : 3 = 8 : 24 (both numbers multiplied by 8)
8 adults are needed.
38. if the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, what is the present value of $1 received at the end of the three years?
If the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, The present value of $1 received at the end of the three years is b.$ 0.84
To solve this problem, we use the formula for the present value of an annuity: PV = (PVAF(3 years)- PVAF(2 years) )* A, where A is the amount received each period and PVAF is the present value annuity factor and PV is the present value.
In this case, we are given PVAF for a three-year annuity and a two-year annuity. we can use these to calculate the present value of $! received at the end of the third year as follows:
PV= (PVAF(3 years)- PVAF(2 years) )* A
PV = (2.673 - 1.833) × (1) = 0.84.
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If the three-year present value annuity factor is 2.673 and the two-year present value annuity factor is 1.833, what is the present value of $1 received at the end of the three years? A. $1.19 B. $0.84 C. $0.89 D. $0.92
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Which number property does this equation represent?
(x+6) + 2 = x + (6 + 2)
Answer:
Associative property
Step-by-step explanation:
FOR MORE INFORMATION
Commutative property :
A+B=B+A
A*B=B*A
. Associative property :
(A+B)+C=A+(B+C)
(A*B)*C=A*(B*C)
. Distributive property :
(A+B)*C=A*C+B*C
. Identity property :
A+0=A
A*1=A
The graph of the function B is shown below. Find B(2).
1
-1
2
Answer: 2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Don't forget to thank and vote
Find the value of x. ROUND TO THE NEAREST TENTH
Answer:
the answer would be 1.57
Step-by-step explanation:
use the pythagorean theorem. hope this helps
The vertices of a rectangle are plotted.
What is the area of the rectangle?
19 square units
38 square units
90 square units
100 square units
The area of a square between is 26 square. How long in one side of the bedroom
Answer:
5.09901951359 or you could round it
Step-by-step explanation:
If the area of a square is 26 and all sides of the square are equal to find this you do the square root of 26.
C(x) = 0.05x2 + 22x + 340, 0 < < 150. (A) Find the average cost function C(x). (B) List all the critical values of C(x). Note: If there are no critical values, enter 'NONE'. (C) Use interval notation
A) The average cost function C(x) can be obtained by dividing the total cost function by the quantity x:
C(x) = (0.05x^2 + 22x + 340) / x
Simplifying this expression, we get:
C(x) = 0.05x + 22 + 340/x
Therefore, the average cost function C(x) is given by 0.05x + 22 + 340/x.
B) To find the critical values of C(x), we need to determine the values of x where the derivative of C(x) is equal to zero or is undefined. Taking the derivative of C(x) with respect to x, we have:
C'(x) = 0.05 - 340/x^2
Setting C'(x) equal to zero and solving for x, we find:
0.05 - 340/x^2 = 0
Rearranging the equation, we have:
340/x^2 = 0.05
Simplifying further, we get:
x^2 = 340/0.05
x^2 = 6800
Taking the square root of both sides, we find two critical values:
x = ± √(6800)
Therefore, the critical values of C(x) are x = √(6800) and x = -√(6800)
C) Using interval notation, we can express the domain of x where the function C(x) is defined. Given that the range of x is from 0 to 150, we can represent this interval as (0, 150).
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A weather station in Antarctica reports that the temperature is currently -44 °C and has been rising at a constant rate of 4.5 °C per hour. What will the temperature be in Antarctica in 6 hours
Answer:
-17
Step-by-step explanation:
4.5*6=27
so -44++27
Two 1-6 number cubes are rolled - one is black and one is white. The white cube shows an even number and the sum is 8.
a. Explain why the events are dependent. b, Find the probability.
a. The events are dependent because the outcome of one cube affects the outcome of the other cube.
b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.
a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.
There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.
As a result, there are fewer outcomes that could happen, making the events dependent.
b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.
This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).
Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.
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-0.64x+0.44x=5.8 solve for x
Answer:
x=-29
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−0.64x+0.44x=5.8
(−0.64x+0.44x)=5.8(Combine Like Terms)
−0.2x=5.8
−0.2x=5.8
Step 2: Divide both sides by -0.2.
-0.2x/-0.2=5.8/-0.2
x=-29