What is the solution to the image below?
5
10
-5
10
Answer: x=10
Step-by-step explanation:
Please help me. I'll give brainliest.
Answer: interest= 670
Step-by-step explanation:
(1+r)^t*principal
Use this table to answer the question. Round to the nearest percent.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of the total is made up of Green?
9.19% of the total is made up of Green.
What is a percentage?The percentage formula is dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of green cars = 120
Number of green planes = 250
Number of green trains = 500
Total = 870
Now,
The total number of all colors of the car, plane, and train.
= 870 + 1250 + 820 + 800 + 990 + 4730
= 9460
Now,
The percentage of green cars, planes, and trains.
= 870/9460 x 100
= 9.19%
Thus,
9.19% of the total is made up of Green.
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1.2. Identify and explain TWO types of goals in line with Anelisa 'story. 1.3. Discuss the benefits of goal setting on your career choice. 1.4. Discuss any THREE challenges Anelisa experienced that could have been been obstacles in achieving his goals. 1.5. Analyse how Anelisa's personal values contributed to his success. 1.6. Critically discuss how relationships can impact negatively on the achievement of goals TOTAL ACTIVITY 1: [30] Gauteng Department of Education (2+2) (4) (2x2) (4) (3x2) (6) (4x2) (8) (2x3) (6) 2023 Grade 11 Life Orientation Task
Types of Goals in line with Anelisa's story:
Personal Growth Goals: These goals are related to Anelisa's personal development and could include things like increasing her knowledge, learning new skills, and expanding her experiences.Career Goals: These goals are related to Anelisa's professional development and could include things like advancing in her career, increasing her income, or improving her job performance.Benefits of goal setting on your career choiceGoal setting helps individuals focus their efforts, prioritize their time and resources, and measure their progress towards achieving their goals. In the context of career choice, goal setting can help individuals:
Clarify their career aspirations and identify their strengths, weaknesses, opportunities, and threats.Develop a roadmap for their career journey and align their actions with their career vision.Stay motivated and engaged in their work and avoid feeling overwhelmed or discouraged by the challenges they face.Improve their performance and productivity, and increase their chances of achieving their desired outcomes.Challenges Anelisa experienced:
Lack of resources: Anelisa may have lacked the resources needed to achieve her goals, such as financial support, access to training programs, or sufficient time to complete her tasks.Resistance from others: Anelisa may have encountered resistance from others who opposed her goals, either because they disagreed with her vision or because they felt threatened by her ambition.Self-doubt and fear of failure: Anelisa may have struggled with self-doubt and fear of failure, which could have held her back from pursuing her goals and taking calculated risks to achieve them.Anelisa's personal values, such as determination, resilience, and a strong work ethic, likely played a significant role in her success. These values likely gave her the motivation and drive to pursue her goals, despite the challenges she faced. Additionally, her values may have helped her stay focused on her goals, maintain her sense of purpose, and make decisions that aligned with her vision for her life.
Relationships can impact the achievement of goals in both positive and negative ways. On the positive side, supportive relationships can provide individuals with emotional support, encouragement, and practical resources that can help them achieve their goals. On the negative side, relationships can also be a source of conflict and distraction, especially if they are not aligned with the individual's goals or values.
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Answer:
Step-by-step explanation:
lack of financial stability Nd resoouces
You are interested in the development of language in bilinguals. You are able to locate five families in the word with 18-month-old toddlers who are learning both Swahili and Vietnamese simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can speak in Swahili. The results are listed in the following table: Calculate the mean for this population. Complete the following table. Calculate the variance and standard deviation for this population.
The mean for this population is 55. The variance and standard deviation for this population are 94.8 and 9.74
The data is given for five families and their children are tested to see how many words they can speak in Swahili.
Toddler Number of words(X) X - M (X - M)²
A 47 - 8 64
B 73 18 324
C 56 1 1
D 46 -9 81
E 53 -2 4
424
Mean of the population(M) = (∑X)/n
= (47 + 73 + 56 + 46 + 53)/5
= 275/5 = 55
Variance f population (σ²) = (X - M)²/n = 474/5 = 94.8
Standard deviation of population(σ) = √94.8 = 9.74
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what could be a ratio between the lengths of the two legs of a 30-60-90 triangle
Answer:
Below
Step-by-step explanation:
One leg would be hyp * cos 30 and one would be hyp cos 60
hyp cos 30 : hyp cos 60
cos 30 : cos 60
= ratio sqrt (3) /2 : 1/2 or sqrt 3 : 1
-
The function f(x) = |x − 1| can be used to determine how far a number is away
from the number 1 on the number line. Find and interpret the given function values
and determine an appropriate domain for the function.
number line showed for reference
←
-5 -4 -3
-2 -1
O
2 3
f(-5) =
meaning the number
from 1 on the number line. This interpretation
context of the problem.
f(3) =
1 on the number line. This interpretation
the problem.
4 5
is a distance of
meaning the number is a distance of
units away
in the
units away from
in the context of
Answer:
Step-by-step explanation:
The function f(x) = |x − 1| is a absolute value function that calculates the distance of a number x from the number 1 on the number line. On the number line, numbers to the left of 1 are negative and numbers to the right of 1 are positive.
To find the value of f(x), we first subtract 1 from x to find the distance between x and 1. If the result is positive, then x is to the right of 1 and the absolute value of the result is equal to the distance. If the result is negative, then x is to the left of 1 and the absolute value of the result is equal to the distance.
For example, let's find f(-5):
f(-5) = |-5 - 1| = |-6| = 6
The interpretation of f(-5) is that the number -5 is a distance of 6 units away from the number 1 on the number line.
Now let's find f(3):
f(3) = |3 - 1| = |2| = 2
The interpretation of f(3) is that the number 3 is a distance of 2 units away from the number 1 on the number line.
The domain of the function is all real numbers. The range of the function is all non-negative real numbers.
Graph the system of inequalities.
y> 4x-2
2y-x≤8
The solution of inequalities is (1.714 , 4.857).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
y > 4x-2
2y-x ≤ 8
Now, solving the inequalities.
y > 4x-2 is given by purple region and 2y-x ≤ 8 is shown by Grey region.
The two lines of inequalities intersect at (1.714 , 4.857).
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legend has it that Isaac Newton discovered gravity when an apple feel down from a tree and hit him on the head. I a 0.2 kg apple fell 7 meters before hitting Newton, what was its change in PE during the fall?
The change in potential energy of the apple during the fall was approximately 13.72 joules.
What is the name of potential energy?One of the two types of energy is potential energy, which is the latent energy in an object at rest. Kinetic energy, on the other hand, is the energy that an item in motion expresses.
The formula: can be used to determine the change in potential energy (PE) of a mass m object that falls a distance h from the Earth's surface.
ΔPE = mgh
where g is the acceleration brought on by gravity close to Earth's surface, which is roughly 9.8 m/s^2.
In this instance, the apple weighs 0.2 kg, falls 7 metres, and accelerates by gravity at a rate of 9.8 m/s^2. So, the potential energy change is as follows:
PE is equal to (0.2 kg) times (9.8 m/s^2) times (7 m) Equals 13.72 joules (J)
As a result, the apple's potential energy changed by around 13.72 joules during the fall.
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Select the correct answer. Which is a warning sign that someone needs the help of a mental health professional? a. Feeling shy when asked to walk onstage b. Overeating to increase bodily strength c. Inablity to sleep properly for weeks.
Inability to sleep properly for weeks is a warning sign that someone needs the help of a mental health professional. Correct option is C.
Difficulty sleeping, or insomnia, can be a warning sign that someone needs the help of a mental health professional. Insomnia can be caused by a number of mental health conditions, such as anxiety, depression, or post-traumatic stress disorder (PTSD), as well as other factors such as stress, poor sleep habits, or physical health problems.
Feeling shy when asked to walk onstage and overeating to increase bodily strength may be signs of anxiety or other emotional or psychological issues, but they are not necessarily warning signs that someone needs the help of a mental health professional.
However, if these behaviors are causing significant distress or interfering with daily life, it may be a good idea to seek the help of a mental health professional.
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Simplify: 3√28 + 4√7 + 2√32
HELP!!!
Answer:
[tex]10\sqrt{7}+8\sqrt{2}[/tex]
Step-by-step explanation:
Lets simplify.
[tex]3\sqrt{28}+4\sqrt{7} +2\sqrt{32}[/tex]
Rewrite [tex]28[/tex] as [tex]2^2*7[/tex]
[tex]3\sqrt{2^2*7}+4\sqrt{7} +2\sqrt{32}[/tex]
Pull terms out from under the radical.
[tex]3\left(2\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]
[tex]6\sqrt{7} \right)+4\sqrt{7} +2\sqrt{32}[/tex]
Add [tex]6\sqrt{7}[/tex] and [tex]4\sqrt{7}[/tex].
[tex]10\sqrt{7} +2\sqrt{32}[/tex]
Rewrite [tex]32[/tex] as [tex]4^2*2[/tex].
[tex]10\sqrt{7} +2\sqrt{4^2*2}[/tex]
Pull terms out from under the radical.
[tex]10\sqrt{7}+2\left(4\sqrt{2}\right)[/tex]
[tex]10\sqrt{7}+8\sqrt{2}[/tex]
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Rewrite in simplest terms: (5x + 5y) - (-x + 10y)
Answer:
6x - 5y
Step-by-step explanation:
( remove the unnecessary parentheses)
= 5x + 5y + x - 10y
= 6x + 5y - 10y
= 6x + 5y
Can someone help me in steps to simplify one of these difference quotients?
We can see here that simplifying, we have:
a. h²
b. h³
c. 1/(1 + h)
d. 3h
e. 3h/(64 + 4h)
f. h/(4h + 2h²)
What is simplification?Simplification is the process of reducing something to its most basic form or removing any unnecessary complexity.
In mathematics, simplification is often used to make equations or expressions easier to work with, solve, or understand. This can involve combining like terms, cancelling out common factors, or using rules of exponents and logarithms to simplify an expression.
We see here that the below gives us the workings:
a. (5 + h)³ - 125/ h = h³ + 5³ - 125/h = h²
b. [tex]\frac{(3 + h)^{4} - 81 }{h} =\frac{ 3^{4} + h^{4} - 81}{h} = \frac{ h^{4} + 81 - 81}{h} = h^{3}[/tex]
c. (1/1+h) - 1/h = 1/1+h - 1 ÷ h = 1/1+h
d. 3(1 + h)² -3/h = 3h² + 3 - 3/h = 3h²/h = 3h
e. [(3/4+h) - 3/4]/4 = (3/4+h - 3/4) ÷ 4 = 3h/64+4h
f. (-1 + 2 + h) + 1/2 ÷ h = h/4 + 2h × 1/h = h/4h + 2h²
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Find the number of subsets of {1, 2, 3, 4, 5, 6, 7 that are subsets of neithe{1, 2, 3, 4, 5}nor{4, 5, 6, 7, 8}.
If the numbers of subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9} that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8, 9} is K, then the sum of digits of K is 9
Let the sets be
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {1, 2, 3, 4, 5}
C = {4, 5, 6, 7, 8, 9}
Then
B ∩ C = {4, 5}
Subsets of B ∩ C = {4}, {5}, {4,5}, {}
If we exclude the null set then the subsets remaining will be {4}, {5}, {4,5}
No. of elements in A = 9
No. of subsets of A = [tex]2^9[/tex]
No. of elements in B = 5
No. of subsets of B = [tex]2^5[/tex]
No. of elements in C = 6
No. of subsets of C = [tex]2^6[/tex]
If we subtract the no. of subsets of B and C from the no. of subsets of A we get the no. of subsets of A that are not the subsets of B or C
But the null set will be subtracted twice
Also as the subsets of B ∩ C excluding null set will be subtracted twice
Therefore, total number of subsets of A not the subsets of B or C
[tex]k=2^9-2^5-2^6+1\\k=512-32-64-2\\\\k=414[/tex]
The sum of the digits of k=9
The complete question is-
If the numbers of subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9} that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8, 9} is K, then find the sum of digits of K.
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3x^3-2x^2+7x+9 divided by x^2-3x
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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help help help help help help help help help help help help help help help help help help help help
Find the number of sides of a regular polygon in which each exterior angle has a measure of 6
Answer:
Below
Step-by-step explanation:
The exterior angles for any polygon sum to 360 °
so
6 * n = 360 ° <===== where 'n' is the number of sides
n = 60 sides
A(t) = 17t - 1/2 * t ^ 2 power lawn mowers, 10. Suppose that the factory's cost of manufacturing units is C(x) After hours of operation, an assembly line has assembled C(x) = 2772 + 110x (a)Express the factory's cost as a (composite) function of the number of hours of operation of the assembly line )What is the cost of the first 2 hours of operation?
The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].
The cost of the first 2 hours of operation will be $6292
How to calculate the functionFrom the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.
Therefore, the (composite) function of the number of hours of operation of the assembly line will be:
= 2772 + 110[17t - 1/2t²]
The cost of the first 2 hours of operation will be:
2772 + 110[17t - 1/2t²]
= 2772 + 110[17 × 2 - 1/2 × 2²
= 2772 + 110(34 - 2)
= $6292
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Write the equation is slope intercept form given
f(0) = -3 and f(1) = 2
The equation is slope-intercept form is equal to y = 5x - 3.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 1).Points on y-axis = (-3, 2).At point (0, -3), a linear equation of this line can be calculated in slope-intercept form as follows:
y - (-3) = (2 + 3)/(1 - 0)(x - 0)
y + 3 = 5x
y = 5x - 3.
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is 68/33 rational or irrational
Answer:
Given value is Rational. The value is 2.06
Step-by-step explanation:
Answer: Rational.
Step-by-step explanation:
An irrational number is one that terminates forever, and cannot be expressed as a fraction. 68/33 is a fraction, therefore it's rational. Irrational can be values like pi, which do not have a ratio form (e.g. fraction).
find value of x please help
Answer:
...here is the answer...
Write an inequality that represents the graph.
12x + 7 < −11
OR
5x-8>40
Answer:
x <-1.5
or
x <9.6
Step-by-step explanation:
12x + 7 < - 11
12x < -11 - 7
12x < - 18
12x/12 < -18/12
x = -1.5
OR.
5x - 8 > 40
5x > 40 + 8
5x > 48
5x/5 > 48/5
x > 9.6.
Need help with this Question pls
Step-by-step explanation:
a. £5,37
b.£2,07
c.£15,70
Select the values that make the inequality a<3 true.
(Numbers written in order from least to greatest going across.)
please help me
The values that make the inequality true are -5, -2, 0, 2, 2.9, 2.99 and 2.999.
How to determine the values that make the inequality a<3 true?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Since the inequality is a < 3. Thus, any value that is less than 3 will make the inequality true.
Therefore, the values are -5, -2, 0, 2, 2.9, 2.99 and 2.999.
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Solve for x with the given measures
Answer: X= -66
Step-by-step explanation:
If m angle UYV=56
Then WYX= -x-10=56
then X=-66
A total of 382 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 fewer student tickets than adult tickets. How many adult tickets were sold?
At the school play, 225 adult tickets were sold.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The number of adult tickets sold be 'x',
Therefore, The number of student tickets would be 'x - 68'.
Therefore, The expression can be formed as,
x + (x - 68) = 382.
2x - 68 = 382.
2x = 450.
x = 225.
So, The number of adult tickets sold is 225.
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Explain in words the graphical transformations that f(x) undergoes to become
f(x + 9) − 1.
The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.
What is transformation?A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.
Given that, a function f(x) undergo some transformations to become f(x+9)-1,
We know that,
Vertical Shifting:
Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.
Horizontal Shifting:
Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.
Therefore, there is transformation of a horizontal and vertical shift.
Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.
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Shen is riding in a bike race that goes through a valley and a nearby mountain range.
The table gives the altitude (in feet above sea level) for the five checkpoints in the race.
Use the table to answer the questions.
Checkpoint Altitude
(feet above sea level)
1 3,459
2 1,499
3 668
4 -202
5 -99
(a) The top of a hill rises 66 feet above Checkpoint 4.
What is the altitude of the top of the hill?
(b) How much higher is Checkpoint 1 than Checkpoint 5?
1) Note that the altitude of the top of the hill is -136 feet above sea level.
2) Note that Checkpoint 1 is 3,558 feet higher than Checkpoint 5.
What is the rationale for the above response?Altitude or height is a distance measurement between a reference datum and a point or object, generally in the vertical or "up" direction. The precise definition and reference datum vary depending on the circumstance.
1) Checkpoint 4 has an altitude of -202 feet above sea level. The top of the hill rises 66 feet above Checkpoint 4. Therefore, the altitude of the top of the hill is:
-202 + 66 = -136 feet
So, the altitude of the top of the hill is -136 feet above sea level.
2) To find the difference in altitude between Checkpoint 1 and Checkpoint 5, we need to subtract the altitude of Checkpoint 5 from the altitude of Checkpoint 1.
Altitude difference = Altitude of Checkpoint 1 - Altitude of Checkpoint 5
Substituting the values given in the table, we get:
Altitude difference (AD) = 3,459 - (-99)
AD = 3,459 + 99
Thus, AD = 3,558
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Find |A| if A = 1 1 2 2 2 3 5 6 1 3 5 3 1 1 3 6
Answer:
1 this is the answer because 1 is more than other number
(03.02 MC)
Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown:
A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 9 feet.
Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)
Part B: The length of rod PR is adjusted to 18 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)
Solving the provided question, we can say that By, Pythagorean theorem PR = √277 and b = 11.31
What is Pythagorean theorem?The Pythagοrean Theorem, sometimes known as the Pythagοrean Theorem, is the basic Euclidean geοmetry relationship between a right triangle's three sides. Accοrding to this rule, the area of a square with the hypotenuse side equals the sum οf the areas of squares with the other twο sides. The Pythagοrean Theorem, often knοwn as the generic algebraic nοtation a² + b² = c², states that the square that crοsses the hypotenuse οf a right triangle οpposite the right angle equals the sum of the squares that span the sides of a right triangle.
By, Pythagοrean theorem
PR² = PQ² + QR²
PR² = 14² + 9²
PR² = 196 + 81
PR = √277
Again by Pythagorean theorem
c² - a² = b²
18² - 14² = b²
b² = 324 - 196
b = √128
b = 11.31
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