Answer:
The solution is B
Step-by-step explanation:
\(x + 5 \geqslant 1 \\ x \geqslant 1 - 5 \\ x \geqslant - 4\)
then:
\(x - 7 < - 3 \\ x < - 3 + 7 \\ x < 4\)
therefore, interval [limits] of x:
\( - 4 \leqslant x < 4\)
1 point
3. what is the value of x to the nearest tenth? (hint: which trig function can
we use?) *
5.7
21.2
30.3
82.1
To find the value of x to the nearest tenth, we can use a trigonometric function. The correct answer is not provided in the options, so it cannot be determined based on the information given.
The question asks for the value of x to the nearest tenth and provides four options: 5.7, 21.2, 30.3, and 82.1. However, it does not provide any context or equation to determine the value of x. Without additional information, it is impossible to accurately determine the value of x using trigonometric functions or any other method.
It's important to note that trigonometric functions such as sine, cosine, or tangent are commonly used to calculate unknown angles or sides in a right triangle, but in this case, the question does not specify any trigonometric problem or provide enough information to solve for x. Therefore, the correct answer cannot be determined based on the options provided.
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792m rounded to 2 significant figures
Answer:
790 with a dash over the 9
Step-by-step explanation:
I NEED HELP ON THIS ASAP!!
The constraints as a system of linear inequalities include the following;
x + y ≤ 180
x ≥ 40
y ≥ 40
3x + 4y ≤ 640
75x + 60y ≤ 12,900
The solution set for the system of linear inequalities is shown in the coordinate plane below.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of SOS Smartcall produced in one day and number of SOS Basic produced in one day respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the SOS Smartcall produced in one day.Let the variable y represent the number of SOS Basic produced in one day.Based on the information provided about this cell phone company, the constraints can be written as a system of linear inequalities as follows;
x + y ≤ 180
x ≥ 40
y ≥ 40
3x + 4y ≤ 640.
75x + 60y ≤ 12,900
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How many moles of aluminum will be used when reacted with 1.35 moles of oxygen based on this chemical reaction? __Al + ___ O2 → 2Al2O3
I NEED IT ASAP
In this process, 1.35 moles of oxygen are combined with roughly 1.80 moles of aluminum.
The balanced chemical equation for the reaction between aluminum and oxygen is:
4 Al + 3 O₂ → 2 Al₂O₃
As a result, in order to create 2 moles of aluminum oxide (Al₂O₃), 3 moles of oxygen gas (O₂) must react with 4 moles of aluminum (Al).
We are given 1.35 moles of oxygen gas, thus we can calculate a percentage to estimate how many moles of aluminum are required using this information:
4 moles Al / 3 moles O₂ = x moles Al / 1.35 moles O
Solving for x, we get:
x = 4 moles Al * 1.35 moles O₂ / 3 moles O₂
x ≈ 1.80 moles Al
Therefore, approximately 1.80 moles of aluminum will be used when reacted with 1.35 moles of oxygen in this reaction.
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Triangle WXY with vertices W(7, -4), X(13, -10), and Y(1, -13); scale factor: k = 1/3, center of dilation: (4, -1)
The coordinates of the vertices of the image include the following:
W' = (5, -2).
X' = (7, -4).
Y' = (3, -5).
How to dilate triangle WXY by a scale factor of 1/3?In this exercise, we would have to dilate the coordinates of the pre-image (triangle WXY) by using a scale factor of 1/3 centered at the point (4, -1) by using this mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
For coordinate W, we have;
Coordinate W = (7, -4) → (1/3(7 - 4) + 4, 1/3(-4 - (-1)) + (-1))
Coordinate W = (2, 4) → (1/3(3) + 4, 1/3(-3) - 1)
Coordinate W' = (5, -2).
For coordinate X, we have;
Coordinate X = (13, -10) → (1/3(13 - 4) + 4, 1/3(-10 - (-1)) + (-1))
Coordinate X = (2, 4) → (1/3(9) + 4, 1/3(-9) - 1)
Coordinate X' = (7, -4).
For coordinate Y, we have;
Coordinate Y = (1, -13) → (1/3(1 - 4) + 4, 1/3(-13 - (-1)) + (-1))
Coordinate Y = (2, 4) → (1/3(-3) + 4, 1/3(-12) - 1)
Coordinate Y' = (3, -5).
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what is the y-intercept of this radical function f(x)=^3√x+1-3
A. y=-2
B. y=1
C. y=8
D. y=26
Answer: A y=-2
Step-by-step explanation:
Your y-intercept occurs when x=0 (0,y)
plug in x=0 into equation and solve for y
y = \(\sqrt[3]{x+1} -3\)
y = \(\sqrt[3]{0+1} -3\)
y = \(\sqrt[3]{1} -3\)
y = 1 - 3
y = -2 A
Which of the following expressions are equivalent to 1/-7 • -6/5
(01.05)
What is the equation, in slope-intercept form, of the line that passes through (0, -2)
and has a slope of -3? (5 points)
O 1) y = -3x - 2
O 2 y=-3x+ 2
O3) y = –2x+3
O 4) y = -2x - 3
Answer:
O1
Step-by-step explanation:
Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
We are given a point: (0,-2) and a slope; -3.
we can substitute the numbers into the equation above, with what we know, to find b.
-2=-3(0)+b
multiply
-2=0+b
-2=b
so the y intercept is -2.
Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2
Therefore O1 is your answer
Hope this helps!
Estimate and calculate each product
a. 625 x 34 b. 1014 x 59
Answer:
a. 21,250
b. 59,826
Step-by-step explanation:
hope this helps :)
at the 0.05 level, is there a difference in the probability of solving the puzzling within one minute?
To start, you would need the relevant data, such as the number of successful attempts and the total number of trials for each group or time interval. Then, you can perform a statistical test, like the chi-square test or a two-proportion z-test, to evaluate if the difference in probability is statistically significant at the 0.05 level. If the resulting p-value is less than 0.05, it would indicate a significant difference in the probability of solving the puzzle within one minute.
To answer your question, we would need to conduct a statistical analysis to compare the probability of solving the puzzle within one minute in two different groups or conditions. We would also need to establish a null hypothesis and an alternative hypothesis and use a statistical test such as a t-test or a chi-square test to determine whether the observed difference in probability between the two groups is statistically significant at the 0.05 level, which means that there is less than a 5% chance that the observed difference is due to chance alone. Without more information about the specific groups or conditions being compared, it is difficult to provide a definitive answer.
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differentiate. f(y) = 1 y2 − 9 y4 (y + 3y3)
The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.
To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:
f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)
Using the product rule, we can differentiate each part separately:
f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'
The derivative of the first part is:
(1 y^2 - 9 y^4)' = 2y - 36y^3
Now we need to differentiate the second part using the chain rule. Let's call the inner function u:
u = y + 3y^3
Using the power rule, the derivative of u with respect to y is:
u' = 1 + 9y^2
Now we can substitute these values back into our original equation:
f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)
Simplifying further:
f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2
Combining like terms:
f'(y) = -9y^6 - 33y^4 + 84y^2
Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.
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what is -3 to the -3 power
Answer:
-0.03
Step-by-step explanation:
\(3^{-3}=\frac{1}{3^3}\\=-\frac{1}{3^3}\\3^3=27\\=-\frac{1}{27}\\= -0.03\)
if you look at the results section of a psychology research article, two signs that scores are significantly different are that (a) the error bars of the groups will not overlap, and (b) the p-value will be less than 0.05.
If Two signs that scores are significantly different then (a) the error bars of group will not overlap
Error bars are graphical representations of data variability that are used to indicate the error or uncertainty in a reported measurement on graphs.
The estimated error in a measurement is indicated by error bars. In other words, an error bar represents the degree of uncertainty in a value.
When the standard deviation error bars overlap significantly, it is an indication that the difference is not statistically significant. To reach a conclusion, you must conduct a statistical test.
When the standard deviation error bars overlap even less, it indicates that the difference is unlikely to be statistically significant.
For significantly different group , we also have p-value greater than 0.05
So, Option (b) is incorrect.
Hence, (a) The error bars of the groups will not overlap is correct
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Find all solutions of the equation algebraically.
|x2 + 9x| = 6x + 54
The solutions to the equation are x= -9 and x = 6
How to determine the valueFrom the information given, we have that;
|x2 + 9x| = 6x + 54
To solve the quadratic equation, collect the like terms, we have;
x² + 9x - 6x = 54
subtract the terms
x² + 3x = 54
Put in standard form
x² + 3x - 54 = 0
Find the pair factors of -54 that add up to give 3 and substitute the values
x² + 9x - 6x - 54 = 0
group in pairs
(x² + 9x) - (6x - 54) = 0
factorize the expressions
x(x + 9) - 6(x + 9) = 0
Then, we have;
x- 6 = 0
x = 6
x + 9 = 0
x = -9
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Give the names of two other statistics that have the same value as the 50 th percentile. Choose the correct answer below. A. Second quartile; median B. Second quartile; mean C. Third quartile; mode D. First quartile; midrange
The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.
In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.
It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.
The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.
The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.
In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.
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in the
fallowing AB llcD the value is equal to
60
75
45
30
Potential Energy can be described as Ep= m.g.h where m = mass which is measured in kilograms, g = acceleration of gravity which is measured in meters per second (m/s2), and h = height which is measured in meters . What is a possible unit measure for Potential Energy
We need to analyze the units of each of the magnitudes and solve the operations between them:
\(\begin{gathered} m\to kg \\ g\to\frac{m}{s^2} \\ h\to m \\ m\cdot g\cdot h\to kg\cdot\frac{m}{s^2}\cdot m=kg\cdot\frac{m^2}{s^2} \end{gathered}\)A possible unit for potential energy is kg*m^2/s^2.
Also we can use distributive property to replace some of the units by derived units, for example, Newtons:
\(undefined\)In a game of DND, Evy rolls a 20 sided die one time. What is the probability that she rolls an odd number, or a number less than 10? Round to the nearest tenth
The probability that she rolls an odd number, or a number less than 10 is 0.7
Calculating the probability that she rolls an odd number, or a number less than 10?From the question, we have the following parameters that can be used in our computation:
Die = 20-sided
In the 20-sided die, we have
A = Odd numbers = 10
B = Numbers less than 10 = 9
A and B = Odd numbers less than 10 = 5
So, we have
P(A) = 10/20
P(B) = 9/20
P(A and B) = 5/20
The probability expression P(A or B) can be calculated using
P(A or B) = P(A) + P(B) - P(A and B)
When the given values are substituted in the above equation, we have the following equation
P(A or B) = 10/20 + 9/20 - 5/20
Evaluate
P(A or B) = 0.7
Hence, the value of the probability P(A or B) is 0.7
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Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test.
Write an inequality that models the situation.
Solve the inequality, and then explain what the solution means.
Answer:
Step-by-step explanation:
We know that Marcus wants to end the semester with at least an 85 test average in his math class. We can find the average of his first three test scores by adding them up and dividing by 3:
(83 + 97 + 80) / 3 = 86.67
So currently, Marcus has an average of 86.67. Let g represent the grade he needs on his fourth test to reach his goal of an 85 average.
To find the inequality, we can use the formula for the average of four numbers:
(83 + 97 + 80 + g) / 4 ≥ 85
This inequality states that the average of the four test scores (including the unknown fourth score, g) must be greater than or equal to 85.
Now we can solve for g:
(83 + 97 + 80 + g) / 4 ≥ 85
260 + g ≥ 340
g ≥ 80
This means that Marcus must earn at least an 80 on his fourth test to achieve an average of 85 or higher for the semester.
In other words, if Marcus earns an 80 or higher on his fourth test, he will achieve his goal of an 85 or higher average for the semester. If he earns less than an 80, his average for the semester will be less than 85.
Evelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 769 glasses. There are currently 205 glasses. If each set on sale contains 12 glasses, write and solve an inequality which can be used to determine xx, the number of sets of glasses Evelyn could buy for the restaurant to have enough glasses.
Answer: 769 bottles ≤ 12x + 205, or 564 bottles ≤ 12x
Step-by-step explanation:
➜ They need at least 769 bottles, so our inequality will use either ≤ or ≥ depending on how we set it up.
➜ They currently have 205 bottles, so we will use addition to show there are some glasses currently owned
➜ If each set contains 12 glasses, we will multiply x, the number of sets bought, by 12
With these details, we will write an inequality.
769 bottles ≤ 12x + 205
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Explain how to show that a quadratic equation contains a perfect square trinomial
Answer:
An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)
Step-by-step explanation:
Factor x2+ 6x + 9
Solution
We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;
x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2
Applying the formula of a2 + 2ab + b2 = (a + b)2 to the expression gives;
= (x + 3)2
= (x + 3) (x + 3)
O.405 as a fraction
Answer:
\( \frac{405}{1000 } \)
Answer:
81/200
Step-by-step explanation:
After decimal point, there are 3 decimal places.
\(0.405 = \frac{405}{1000}\)
Now, reduce to simplest form
\(\frac{405}{1000}=\frac{81}{200}\)
Find the zeros of each function. State the multiplicity of multiple zeros. y=(x-2)²(x-1) .
The zeros of the function are x = 2 and x = 1, which have a multiplicity of 2 and 1, respectively.
Given function is:
y=(x-2)^2(x-1)
Now, to find the zeros of the function, we have to equate it to 0.
So,
(x-2)^2(x-1)=0
The zeros of the function can be found by solving the equation above and they are:
x = 2 (multiplicity = 2)x = 1 (multiplicity = 1)
Explanation:
To find the zeros of the given function, we have to equate the function to zero.
Then, we will have:
(x-2)^2(x-1)=0
We can see that the function has three roots:
x = 2 (multiplicity = 2)
x = 1 (multiplicity = 1)
So, the zeros of the function are x = 2 and x = 1,
which have a multiplicity of 2 and 1, respectively.
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Please asap!!! will give 100 brainlest!!! (there's more than one answer)
select all the correct measures of center and variation for the following data set.
10, 20, 31, 17, 18, 5, 22, 25, 14, 43
a. first quartile = 12
b. iqr = 11
c. median = 19
d. third quartile = 25
e. mad = 7
First quartile is 14, IQR is 14, median is 19, third quartile is 28 and MAD is 7.
a. First quartile = 12 and d. Third quartile = 25 are not necessarily correct measures of quartiles for this dataset. To calculate the quartiles, we need to first order the data set and then find the value(s) that divide it into four equal parts. In this case, the sorted dataset is:
5, 10, 14, 17, 18, 20, 22, 25, 31, 43
The first quartile is the median of the lower half of the data: (5, 10, 14, 17, 18) and is 14.
b. IQR = 11 is not correct. The IQR (Interquartile Range) is the difference between the third quartile and the first quartile, which is 28-14=14 for this dataset.
c. Median = 19 is a correct measure of center.
d. The third quartile is the median of the upper half of the data: (22, 25, 31, 43) and is 28.
e. MAD = 7 is a correct measure of variation.
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what is the probability that a card drawn randomly from a standard deck of 52 cards is a black six? express your answer as a fraction in lowest terms.
The probability that a card drawn randomly from a standard deck of 52 cards is a black six is 1/26 in its lowest terms.
A probability is a numerical value that represents the possibility of an event occurring. It's a likelihood or chance of an event happening.
The formula for probability is:
P (A) = number of favorable outcomes/total number of outcomes
The probability of drawing a black six from a standard deck of 52 cards is 1/26. There are 52 cards in a standard deck, which are evenly divided into four suits of 13 cards each: hearts, diamonds, clubs, and spades. Each suit contains cards numbered 2 through 10, as well as four face cards: jack, queen, king, and ace. Only two of these cards, namely the six of clubs and the six of spades, are black sixes.
There are four suits in a standard deck, each with a six. As a result, there are 4 x 1 = 4 ways to select a six card. There are 52 cards in a deck, so the probability of drawing a black six is:
1/52 × 4= 1/13
There is only one black six in each suit, therefore there are two black sixes in a deck. Since there are 52 cards in a deck and two black sixes, the probability of drawing a black six is 2/52, which simplifies to 1/26 in its lowest terms.
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PLEASE HELP 80 POINTS !!!!!!!!
Answer:
Step-by-step explanation:
a) it is a reflection
b) it is vertex B"
Two people compete in a five-mile go kart race. Person A travels 1/10 miles every 15 seconds while Person B travels 3/8 mile every 48 seconds. Who wins the race? What is the difference of the finish times of the competitors?
Answer:
a) Person B wins the race.
b) The difference in the finish times of the competitors is 110 s.
Step-by-step explanation:
a) We can find the time that takes Person A and B to finish the race:
Person A:
\( t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} \)
Where:
\(t_{A}\): is the time of Person A = 15 s \)
\(d_{A}\): is the distance of Person A = 1/10 miles \)
\(d_{T}\): is the total distance = 5 miles \)
\( t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s \)
Person B:
\( t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s \)
Hence, Person B wins the race.
b) The difference in the finish times is:
\( t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s \)
Therefore, the difference in the finish times of the competitors is 110 s.
I hope it helps you!
solve for t: 3t + 4 = 19
options:
t = -7
t = 7
t = 3
t = -5
Step-by-step explanation:
3t + 4 = 19
3t = 15
Hence t = 5.
Answer:
t = 5
Step-by-step explanation:
Subtract 4 from each side, so it now looks like this: 3t = 15Divide each side by 3 to cancel out the 3 next to t. It should now look like this: t = 5I hope this helps!
In a city of exactly 100,000 people, 90% can expect to live to (at least) age 60 and 60% can expect to live to (at least) age 80. What is the probability that a resident of this city who is 60 years old will survive until they are 80?
my work:
The probability that a resident of the city who is 60 years old will survive until they are 80 is 0.6 * 0.9 = 0.54.
is this correct?
The probability that a resident of this city who is 60 years old will survive until they are 80 will be 0.54 l.
How to calculate the probabilityProbability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.
In this case, in the city of exactly 100,000 people, 90% can expect to live to (at least) age 60 and 60% can expect to live to (at least) age 80.
The probability that a resident of this city who is 60 years old will survive until they are 80 will be:
= 90% × 60%
= 0.54
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job a, $15/hour, job b, $12/hour, how many hours at each job to earn $360
Answer:
Job A, will take 24 hours and Job B, will take 30 hours
Step-by-step explanation:
12 X 30 = 360 and 15 X 24 = 360
Answer:
15x24=360
12x30=360
If you have a 15/hour job and want 360$ in one day or week you will have to work 24 hours.
If you have a 12/hour job and want 360$ in one day or week you will have to work 30 hours.
Step-by-step explanation:
Hope this helps