Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Charlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions. How much interest will Charlie’s initial investment earn over the 15-year period? How much money does Charlie have after the 15 years?
PLZ HELP ASAP
Answer:
390 and 715
Step-by-step explanation:
Answer:
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.
How much interest will Charlie’s initial investment earn over the 15-year period?
✔ $390
How much money does Charlie have after the 15 years?
✔ $715
Step-by-step explanation:
Plzzzz helpppp!!!!what are the coordinates of the point on the directed line segments from (-6,-4) to (4,6) that partitions the segment into a ratio of 2 to 3?
Answer:
(2/3, 8/3)
Step-by-step explanation:
Using the line segment equation we get: (x,y)=(-6+2/3(4-(-6)), -4+2/3(6-(-4))=(2/3,8/3)
Answer:
Full Answer
Step-by-step explanation:
(-2,0)
Tavon is asked to find EF. What error does Tavon make?
EF2= DF2 + DE2-2(DF)(DE) cos D
EP2-82+102-2(8) (10) cos 44*
EF264+100-160
0.7193
EF 48.91
X
44°
10
Select the correct choice below and fill in the answer box within your choice.
Q
The error that Travon makes is
(C) Tavon forgot to take the square root to find the final answer. The correct answer is about 6.99
What is a root in mathematics?
In mathematics, a number's "root" is a number that, when multiplied by itself, equals the original number; alternatively, a number's "root" can also be an equation's solution, which is typically presented as a number or an algebraic formula.
For instance, since 7*7=49, the square root of 49 is 7. In this instance, 7 is referred to as the square root of 49 since it must be multiplied twice to produce the number. 3 because 3*3*3=27 is the cube root of 27. Since 27 is obtained by multiplying 3 by three, we refer to this as a cube root, so 3 is the cube root of 27.
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Help me on this question please help this is due
Answer:
1.50 1.5
Step-by-step explanation:
beacuse its both of the wingspans together
Answer:
i think 1.5 inch
Step-by-step explanation:
0.75*2
this is because 1 wing is . 75 inch ACROSS so if two wings you will multiply it into two
A typical chocolate chip cookie has a diameter of 3. 5 inches. In the miniature town at the Behringer Crawford Museum that we saw in the video, what would be the diameter of a chocolate chip cookie from Faragher’s bakery? Show all your work.
If the miniature town is built to a 1:10 scale, the diameter of a chocolate chip cookie from Faragher's bakery would be 0.35 inches in the miniature town.
In the miniature town at the Behringer Crawford Museum, the diameter of a chocolate chip cookie from Faragher's bakery would depend on the scale of the miniature town. Since the video doesn't provide the specific scale, we'll have to make an assumption.
Let's say the miniature town is built to a 1:10 scale, meaning that objects in the town are 1/10th the size of their real-life counterparts. If a typical chocolate chip cookie has a diameter of 3.5 inches, we can calculate the diameter of the miniature cookie by dividing 3.5 inches by 10:
3.5 inches / 10 = 0.35 inches
Therefore, if the miniature town is built to a 1:10 scale, the diameter of a chocolate chip cookie from Faragher's bakery would be 0.35 inches in the miniature town.
However, it's important to note that without knowing the specific scale of the miniature town, we can only make assumptions based on the given information. The actual diameter of the chocolate chip cookie in the miniature town may vary depending on the scale chosen for the model.
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Use the linear combination method to solve the system of equations. *Explain each step of your solution.
2x - 3y = 13
x + 2y = 4
Step 1: We have the next system of equations -
\(2x - 3y = 13\)
\(x + 2y = 4\)
Step 2: Now, we will multiply by -2 the second equation:-
\( - 2(x + 2y) = 4\)
\(→ - 2x - 4y = - 8\)
Step 3: Then we add it :-
\(2x - 3y = 13\)
\(( + ) \: - 2x - 4y = - 8\)
Step 4: After finding the sum, we simplify:-
\( - 7y = 5\)
\(→y = - \frac{5}{7} \)
Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-
\(x = - 2( \frac{ - 5}{7}) + 4\)
Step 5: Then simplify :-
\(y = \frac{38}{7} \)
Therefore, the final answer is :-
\(x = \frac{38}{7} \)
and
\(y = \frac{5}{7} \)
------------------------★---------------------
Answered by Benjemin360 ☺️
Which parabola has the graph shown?
A. (x-3)= (y+ 2)²
B. (x+4)= (y + 1)²
c. (x+7)² = (y + 2)
D. (x+3)=(y+ 1)²
Answer:
\(b.(x + 4) = (y + 1) {}^{2} \)
Step-by-step explanation:
Hope it helps!!!
For which set of values is y a function of x?
Answer:
Option A
Step-by-step explanation:
The set of values for which y is a function of x is the set where each x-value has exactly on y-value. No x-value has more than 1 y-value.
✅Option A: y is A FUNCTION of x because it has exactly one y-value assigned to each x-value.
❌Option B: y is NOT a function of x because there are two y-values, 4 and 2, that are assigned to one x-value, -1.
❌Option C: y is NOT a function of x because there are two y-values, 10 and 12, that are assigned to one x-value, 1.
❌Option D: y is NOT a function of x because there are two y-values, 2 and 4, that are assigned to one x-value, -1.
Graph the equation by using the slope intercept method
For the given equation 4x + 3y =21 the slope intercept form is given by y = (-4/3)x + 7.
Graph is attached.
As given in the question,
Given equation is equal to :
4x + 3y = 21
To get the slope intercept form of the given equation we have,
Subtract 4x from both the sides of the given equation we have,
4x + 3y - 4x = 21 - 4x
⇒ 3y = 21 - 4x
Now divide by 3 on both the sides of the equation we get,
3y / 3 = (-4/3)x + (21/3)
⇒ y = (-4/3) x + 7
Graph of the given equation in slope intercept form y = (-4/3) x + 7 is attached.
When x = 0 ⇒ y = 7
y= 0 ⇒ x = 21 /4
Therefore, for the given equation 4x + 3y =21 the slope intercept form is given by y = (-4/3)x + 7.
Graph is attached.
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To make a boxplot of a distribution, you must know A. the five-number summary. B. all of the individual observations. c. the mean and the standard deviation. D. None of the above
The required correct answer is A. the five-number summary.
What is box-plot of a distribution?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
According to question:The correct answer is A. the five-number summary. A boxplot is a graphical representation of the distribution of a set of data, and it provides information about the shape, spread, and skewness of the data. The five-number summary is used to construct a boxplot and includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value.
The boxplot uses these five values to display the range of the data and highlight any outliers or unusual observations. Knowing the five-number summary is sufficient to create a boxplot, while knowing all of the individual observations or the mean and standard deviation is not necessary.
Final answer: A. the five-number summary.
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Part B
Based on your research, which of the three stocks would have been the best investment option over the past year? Explain the reason for your
choice.
Answer:The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.
Step-by-step explanation: ANSWER FOR EDMENTUM/PLATO
(Answers may vary.)
The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.
Step-by-step explanation: edmentum/ plato exact
how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.
No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.
Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.
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The complete question is;
How do sociologists know if the sample they are using is representative?
a. If the people in the sample freely volunteered to serve as representatives
b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
c. If the sample has the same mix of people, in the same proportions, as the population being studied
d. If the participants have been interviewed to reveal possible bias.
Find an equation of the circle that has center (-4,3) and passes through (6,-4).
Answer:
\((x+4)^2+(y-3)^2=149\)
Step-by-step explanation:
The equation of a circle is \((x-h)^2+(y-k)^2=r^2\) where \((h,k)\) is the center of the circle and \(r\) is the radius of the circle.
Given that \((h,k)\rightarrow(-4,3)\) and it passes \((6,-4)\), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:
\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}\)
Therefore, if the length of the radius is \(r=\sqrt{149}\) units, then \(r^2=149\), making the final equation of the circle \((x+4)^2+(y-3)^2=149\)
Find g(x), where g(x) is the translation 4 units up of f(x) = x^2.
Write your answer in the form a(x - h)^2+ k, where a, h, and k are integers.
The value of g(x) where g(x) is the translation 4 units up of \(f(x) = x^2 is (x + 2)^2.\)
To find g(x), the translation 4 units up of \(f(x) = x^2\), we need to add 4 to the function f(x).
g(x) = f(x) + 4
\(g(x) = x^2 + 4\)
To write the answer in the form \(a(x - h)^2 + k\), where a, h, and k are integers, we need to complete the square for g(x).
\(g(x) = x^2 + 4\)
\(g(x) = 1(x^2) + 4\\g(x) = 1(x^2) + 2(2x) + (2^2) - (2^2) + 4\\g(x) = (x^2 + 2(2x) + 2^2) - 4 + 4\\g(x) = (x^2 + 2(2x) + 2^2) + 0\\g(x) = (x + 2)^2 + 0\\\)
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The value of the function g(x) when is the translation 4 units up of f(x) = x^2 is g(x) = (x - 0)^2 + 4
The function g(x) is obtained by translating the function f(x) = x^2 four units up.
To achieve this translation, we add 4 to the original function f(x).
g(x) = f(x) + 4
= x^2 + 4
Now, let's write the expression x^2 + 4 in the form a(x - h)^2 + k.
To do this, we complete the square:
g(x) = x^2 + 4
= (x^2 + 0x) + 4
= (x^2 + 0x + 0^2) + 4 - 0^2
= (x^2 + 0x + 0^2) + 4
Now, we can rewrite it as a perfect square:
g(x) = (x^2 + 0x + 0^2) + 4
= (x + 0)^2 + 4
Simplifying further, we have:
g(x) = (x - 0)^2 + 4
= (x - 0)^2 + 4
Therefore, g(x) = (x - 0)^2 + 4 is the desired form, where a = 1, h = 0, and k = 4.
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can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution. a. a boxplot b. chebyshev's theorem c. the empirical rule d. a five-number summary
The empirical rule may be used to determine the percentage of data values that must be within only one, two, and three standard deviations of the mean for data having a bell-shaped distribution.
The 68 95 99 rule, commonly referred to as the empirical rule in statistics, asserts that given normal distributions, 68% of observed data points will fall within one standard deviation from the mean, 95% will fall between two standard deviations, and 99.7% will happen within three standard deviations.
Fairly anticipate that your data will resemble a normal distribution, the empirical rule, the mean, as well as the standard deviation become even more beneficial. Determine probabilities and percentages for many events just by knowing these two statistics.
The term "empirical rule" derives from empirical research, which relies on measurements and observations of actual results rather than theory. In other words, the term "empirical" denotes a foundation in actuality.
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please help with math
Answer:
240 cm²
Step-by-step explanation:
Split the shape into a trapezoid (top half) and a rectangle (bottom half).
Area of a rectangle = width x length
⇒ area = 6.5 x 20 = 130 cm²
\(\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h\)
(where a and b are the lengths of the base and top, and h is the height)
⇒ \(\textsf{area} = \frac{1}{2}(20+20)\times5.5\)
⇒ area = 110 cm²
Total area = area of rectangle + area of trapezoid
⇒ area = 130 + 110 = 240 cm²
suppose we have a fair spinner with the numbers 1, 2, and 3 on it. let x be the number of spins until the first 3 occurs. assuming that the spins are independent, the pmf of x is
The answer of the given question based on the assuming that the spins are independent, the pmf of x is P(x = k) = (2/3)^(k-1) * (1/3).
What is Probability?Probability is a measure of likelihood or chance that specific event will occur. It is branch of mathematics that deals with study of random events and their associated outcomes.
In probability theory, events are typically represented as sets of possible outcomes, and probabilities are assigned to these events based on likelihood of their occurrence. The probability of event is number between 0 and 1, where 0 represents impossible event and 1 represents certain event.
Let's denote the probability of getting a 3 on any given spin as p. Since the spinner only has three numbers, the probability of getting a 3 on any given spin is 1/3.
Now, let's consider the probability distribution of x, the number of spins until the first 3 occurs. The probability that x = 1 is simply the probability of getting a 3 on the first spin, which is p = 1/3.
The probability that x = 2 is the probability of not getting a 3 on the first spin (which is 2/3), multiplied by the probability of getting a 3 on the second spin (which is p = 1/3). So:
P(x = 2) = (2/3) * (1/3) = 2/9
Similarly, the probability that x = 3 is the probability of not getting a 3 on the first two spins (which is (2/3)^2), multiplied by the probability of getting a 3 on the third spin (which is p = 1/3). So:
P(x = 3) = (2/3)²* (1/3) = 4/27
In general, the probability that x = k (where k is a positive integer greater than or equal to 1) is the probability of not getting a 3 on the first k-1 spins (which is (2/3)^(k-1)), multiplied by the probability of getting a 3 on the kth spin (which is p = 1/3). So:
P(x = k) = (2/3)^(k-1) * (1/3)
This is the pmf (probability mass function) of x, the number of spins until the first 3 occurs.
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The answer of the given question based on the assuming that the spins are independent, the pmf of x is P(x = k) =\((2/3)^{k-1}\) × (1/3).
What is Probability?Probability is a measure of likelihood or chance that specific event will occur. It is branch of mathematics that deals with study of random events and their associated outcomes.
In probability theory, events are typically represented as sets of possible outcomes, and probabilities are assigned to these events based on likelihood of their occurrence. The probability of event is number between 0 and 1, where 0 represents impossible event and 1 represents certain event.
Let's denote the probability of getting a 3 on any given spin as p. Since the spinner only has three numbers, the probability of getting a 3 on any given spin is 1/3.
Now, let's consider the probability distribution of x, the number of spins until the first 3 occurs. The probability that x = 1 is simply the probability of getting a 3 on the first spin, which is p = 1/3.
The probability that x = 2 is the probability of not getting a 3 on the first spin (which is 2/3), multiplied by the probability of getting a 3 on the second spin (which is p = 1/3). So:
P(x = 2) = (2/3) × (1/3) = 2/9
Similarly, the probability that x = 3 is the probability of not getting a 3 on the first two spins (which is (2/3)^2), multiplied by the probability of getting a 3 on the third spin (which is p = 1/3). So:
P(x = 3) = (2/3)² × (1/3)
= 4/27
In general, the probability that x = k (where k is a positive integer greater than or equal to 1) is the probability of not getting a 3 on the first k-1 spins (which is \((2/3)^{k-1}\)), multiplied by the probability of getting a 3 on the kth spin (which is p = 1/3). So:
P(x = k) = \((2/3)^{k-1}\) × (1/3).
This is the pmf (probability mass function) of x, the number of spins until the first 3 occurs.
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Questions I. Draw Lewis structures for the following molecules and polyatomic ions. Include total number of valence electrons for each of the molecules and ions. II. For each of the neutral molecule, answer if it is polar or non-polar.
1. H2CO The H2CO molecule is polar because the dipole moments do not cancel each other due to the bent shape of the molecule.
2. CH3COO- The CH3COO- molecule is polar because the dipole moments do not cancel each other due to the presence of a negative charge on the molecule.
I. Lewis structures of the following molecules and polyatomic ions with the total number of valence electrons:
1. H2COThe total number of valence electrons in H2CO can be calculated as:
Valence electrons of carbon (C) = 4 Valence electrons of oxygen (O) = 6 x 1 = 6 Valence electrons of hydrogen (H) = 1 x 2 = 2 Total number of valence electrons in H2CO = 4 + 6 + 2 = 12
The Lewis structure of H2CO is:
2. CH3COO- The total number of valence electrons in CH3COO- can be calculated as: Valence electrons of carbon (C) = 4 x 2 = 8 Valence electrons of oxygen (O) = 6 x 2 = 12
Valence electrons of hydrogen (H) = 1 x 3 = 3 Valence electrons of negative charge = 1
Total number of valence electrons in CH3COO- = 8 + 12 + 3 + 1 = 24
The Lewis structure of CH3COO- is:
II. Polar or nonpolar nature of each of the neutral molecules:
1. H2CO The H2CO molecule is polar because the dipole moments do not cancel each other due to the bent shape of the molecule.
2. CH3COO- The CH3COO- molecule is polar because the dipole moments do not cancel each other due to the presence of a negative charge on the molecule.
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Find the two missing numbers shown with an "*" in the equation.
Answer:
I believe it has now been simplified fo easy conclusion
what is a independent and dependent variable
Answer:
The independent variable doesn't rely on anything to change; it is independent
The dependent variable relies on the independent variable; what happens to it depends on the independent variable
Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.
I hope that wasn't to confusing!
I hope this helps! (✿◕‿◕✿)
Sage belongs to a bird-watching club. Every two days, she goes out and counts the number of Black-hooded Parakeets she sees. The scatter plot shows the number of parakeets she saw in the past 12 days. Sage did not look for birds on day 8. If she had gone out on day 8, how many black-hooded parakeets would she likely have seen, based on the line of best fit?
The number of black- hooded parakeets savant would Probably have seen on day 8, we can use the line of stylish fit from the smatter plot.
Grounded on the line of stylish fit, we observe a general trend in the data points. It appears that as the days progress, the number of black- hooded parakeets savant sees tends to increase. By extending the line of stylish fit to day 8, we can estimate the likely number of parakeets she'd have seen.
To make the estimation, we detect day 8 on the x-axis of the smatter plot and draw a perpendicular line up to the line of stylish fit. The corresponding y- value on the line represents the estimated number of parakeets Sage would probably have seen on day 8.
Since the smatter plot isn't handed in the question, I'm unfit to determine the exact value of the estimated number of parakeets on day 8. still, by following the way mentioned over, you can relate to the smatter plot and use the line of stylish fit to estimate the likely number of black- hooded parakeets savant would have seen on day 8.
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How many lines of symmetry does the letter J have image is the J I'm talking about
Answer:
0
Step-by-step explanation:
there are no lines os symmetry in this letter there are no straight lines that don't intersect
Answer:
0
Step-by-step explanation:
If you split it in half it is not a mirror image of itself..
A little help?!? Pleaseee
Answer:
I think no. Because degree is the sum all variables in first equation degree. Is14 but second equation degree not 14.
PLEASEEEE HELPPP Angle A and angle B are two angles that are complementary. We know angle A measures (x+2)° and Angle B measures 57°. Use your knowledge of complementary angles to solve for x.
Answer:
Step-by-step explanation:
x + 2 + 57 = 90
x + 59 = 90
x = 31°
x + 2 = 33°
Answer:
x=31
Step-by-step explanation: Since we know Angle A and Angle B are complementary and complementary angles add up to 90 we can set up an equation:
x+2+57=90
x+59=90
x=31
Hope this helps :)
Evaluate the expression and express result in scientific notation (4.3 x 10^2)(1.1 x 10^7)
Answer:
Your correct answer is 4.73x^10000100
There are 26 marckers and 4 students how many markers would each student get
Answer:
6 markers each and remains 2 markers
Step-by-step explanation:
well if you use 26/4,
you'll get, \(6\frac{2}{4}\)
three siblings - kate, sarah, and dave - committed themselves to volunteer 135 hours for a homeless charity to build new housing. dave worked 25 hours more than kate. sarah worked 10 hours fewer than kate. how many hours did each of these siblings volunteer?
Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.
Hour:
A unit of time equal to one of 24 equal divisions of a day; 60 minutes
Given that:
S+ D+ K = 135
K= S+ 25
D= S- 10
Now,
S+ (S-10)+ (S+25) = 135
⇒ S+ S-25+ S+10 = 135
⇒ 3S - 15 = 135
⇒ 3S = 150
⇒ S = 165/3 = 50
Now,
If S = 50 hours
Then,
K = 50+ 25 = 75 hours
and
D = 55 - 10 = 45 hours
Therefore, Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.
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the power to which a number or expression is raised
The power to which a number or expression is raised is called the exponent.
1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.
2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.
3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.
4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:
- Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.
- Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).
- Zero exponent: Always equals 1. For example, \(2^0\) = 1.
- Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.
5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).
Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.
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The set of all real numbers x that satisfies -3
Answer:
\(567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} \)
Step-by-step explanation:
copy that in your paper good luck to you
Answer:
It's False
Step-by-step explanation:
both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.
Basically:
( ) = > <
[ ] = ≥ ≤
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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