Answer:
11
Step-by-step explanation:
3 squared is 9 and 2×1 is 2
You add last, after doing exponents and multiplying. So last add.
3^2 + 1 × 2
9 + 2
= 11
Generally, if there are parenthesis or brackets or any grouping symbols, do that math first. Then multiply or divide in order from left to right, as you encounter them. Then add or subtract in order from left to right as you encounter them. This is commonly taught as PEMDAS or BODMAS.
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
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Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation:
Simplify (4x - 3)(3x^2 - 4x - 3)
I think this is the answer 12 x^ 3 − 25 x^ 2 + 9.
I hope this helps!
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients
\(\huge\text{Hey there!}\)
\(\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark\)
\(\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
can u help me with this question
The probability of an outcome is the number of the possible outcome to the number of the total outcome
The total outcome is 50
As such, for the spun to land on a;
2 will be
= 7/50
3 will be
= 9/50
Henve the probability of th spinner landing on a 2 or 3 will be
= 7/50 + 9/50
= 16/50
= 8/25
Option B
3x2 − 6x − 10 + 9x + 5x2 − 8
8x^(2)+3x-18, simplified,
Which of the following is a true statement?
Answer:
3
Step-by-step explanation:
It depends on the denominator
For 3 where comparing 16 to 24
Of course its going to be 16
Hope this helps!
$500 is invested in an account earning 7% interest compounded quarterly. Find the value
after 8 years.
The amount of the investment after 8 years will be, $4,357.64
Given, $500 is invested in an account earning 7% interest compounded quarterly.
We have to find the value of the invested amount after 8 years,
as, Amount = P(1 + r/100)^t
where, P is the amount of money invested, r is the rate of interest and t is the amount of time
Amount = 500(1 + 7/100)^(8×4)
Amount = 500(1.07)^32
Amount = 500×8.715
Amount = 4,357.635
So, the amount of the investment after 8 years will be, $4,357.64
Hence, the amount of the investment after 8 years will be, $4,357.64
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A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
Can I please get help with B
Answer:
sure just bring the question and it will be answered
you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
Answer:
Wouldn't it be 8?
Step-by-step explanation:
You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.
Answer:
8
Step-by-step explanation: you can crack, cook, and eat with 1 egg
so if you cracked 2 cooked 2 and ate 2, it means that you only used 2
Find the circumference and the area of a circle with radius 9m .
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
The circumference of the circle will be 56.52 m.
And, The area of a circle will be 254.34 m².
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The radius of circle = 9 m
Now,
Since, The area of circle = πr²
Hence, The area of circle = 3.14 × 9²
= 3.14 × 81
= 254.34 m²
And, The circumference of the circle = 2πr
= 2 × 3.14 × 9
= 56.52 m
Thus, The circumference of the circle will be 56.52 m.
And, The area of a circle will be 254.34 m².
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Which of the following is used to identify outliers in a set of data?
O 1.5(IQR)
1.5(range)
O2(mean)
O 2(median)
(A) 1.5 (IQR) is used to identify outliers in a set of data.
What is the Interquartile range (IQR)?The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics. The middle 50%, fourth spread, or H-spread are additional names for the IQR. It is described as the discrepancy between the data's 75th and 25th percentiles.The interquartile range is the best tool to use to find all of your outliers (IQR). Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data. Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1.As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).
Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.
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The correct question is given below:
Which of the following is used to identify outliers in a set of data?
(A) 1.5(IQR)
(B) 1.5(range)
(C) 2(mean)
(D) 2(median)
You score a 65% on your AP Statistics Exam and a 78% on your Economics Exam. The AP Statistics scores were normally distributed with an average of 60% and a standard deviation of 6%. The Economics scores were also normally distributed with an average of 75% and standard deviation of 2.5%. In which class did you perform better relative to the class average? Be sure to justify your answer.
Answer:
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In which class did you perform better relative to the class average?
In whichever class you had the higher z-score.
Statistics:
Scored 65, mean 60, standard deviation 6. So \(X = 65, \mu = 60, \sigma = 6\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{65 - 60}{6}\)
\(Z = 0.83\)
Economics:
Scored 78, Mean 75, Standard deviation 2.5. So \(X = 78, \mu = 75, \sigma = 2.5\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{78 - 75}{2.5}\)
\(Z = 1.2\)
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
$7.99 by 16.2 ounces
Answer:
.49 if you're dividing them.
Step-by-step explanation:
A parabola is modeled with the equation x2 – 12x + 4y + 24 = 0. Which is the domain and range of the parabola?
D: (–∞, ∞); R: (–∞, 3]
D: (–∞, ∞); R: [3, ∞)
D: (–∞, 3]; R: (–∞, ∞)
D: [3, ∞); R: (–∞, ∞)
Answer:
first option
Step-by-step explanation:
\( {x}^{2} - 12x + 4y + 24 = 0\)
\( {x}^{2} - 12x + 24 = - 4y\)
\( - \frac{ {x}^{2} }{4} + 3x - 6 = y\)
Now, we can find the domain and range, the easiest way first is to put this in vertex form
First, find the x coordinate of the vertex using
-b/2a,
\( \frac{ - 3}{2(( - 0.25))} = 6\)
Now, plug in 6 into the original equation to obtain the y value of the vertex
\( - \frac{6 {}^{2} }{4} + 3(6) - 6 = - 9 + 18 - 6 = 3\)
So our vertex is (6,3).
Next , we put this in vertex form.
\(a(x - h) {}^{2} + k\)
where (h,k) is the vertex
and a is the leading coefficient
so our quadratic in vertex form is
\( - \frac{1}{4} (x - 6) {}^{2} + 3\)
Part 3: Domain and Range.
The domain of any quadratic(unless we are doing a real world example with a variable that can not be negative like time, objects,etc) is always all real numbers.
So the domain is (-oo,oo)
Since our a is negative, the range of our parabola is (-oo,3]
The correct answer is the first option
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
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Translate the sentence into an equation.
Eight more than the quotient of a number and 7 is equal to 3.
The " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
The equation 8( x/ 7) = 3 represents the judgment " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
" Eight further than" implies addition, so we've 8 " The quotient of a number and 7" means dividing a number by 7, so we've x/ 7 " is equal to" means that the expression on the left side is equal to the expression on the right side, so we've = " 3" is the value to which the expression on the left side is equal, so we've 3 Putting it all together the judgment " Eight further than the quotient of a number and 7 is equal to 3" can be restated into the equation ( x/ 7) = 3
In this equation, x represents the number we're trying to find. To break for x, we can manipulate the equation using algebraic operations to insulate x on one side of the equation. By abating 8 from both sides of the equation, we get ( x/ 7)- 8 = 3- 8 Simplifying, we have x/ 7 = -5
To insulate x, we can multiply both sides of the equation by 7 *( x/ 7) = -5 * 7 This gives us x = -35 thus, the equation 8( x/ 7) = 3 represents the judgment " Eight further than the quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
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Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in A ∪ B' ? Your Answer:
Consequently, there are 5 elements in A B'.
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}
The complement of a set B is the set of all elements that belong to the universal set U but not to B.
A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}
The union of sets A and B is the set of all elements that belong to set A or set B, or both.
A ∪ B = {x | x ∈ A or x ∈ B}
= {1, 2, 3, 4, 5, 7}A ∪ B'
= {x | x ∈ A or x ∈ B’}
= {1, 2, 4, 5, 6}
Therefore, the number of elements in A ∪ B' is 5.
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30 POINTS!!! PLEASE HELP ME! ASAP
Answer:
I think is higher
Step-by-step explanation:
A machine cuts lengths of rope from a 50-m roll.
The lengths are 2.5 m long, to 1 decimal place.
What areshe minimum and maximum numbers of pieces of rope that can be
cut
Answer:
the other one or both the best of the individual and the same thing I noticed a lot to do the job in my life in my life
Solve the missing sides using Trig function
Answers for question:
A. 29.3
B. 36.3
C. 16.8
Answer:
B)36.3
hope u found if helpful
Please helppp!
Solve the system using elimination
-5x+5y=5
5x-4y=-4
A. (1,0)
B. (0,1)
C. (-1,1)
D. (1,-1)
Answer:
a
Step-by-step explanation:
For each order pair, determine whether it is solution to y= 0
For each order pair, we would determine whether or not it is a solution to y = 0 as follows:
(0, 2): No, it is not a solution because the value of y = 2.(4, 0): Yes, it is a solution because the value of y = 0.(-6, 0): Yes, it is a solution because the value of y = 0.(1, 3): No, it is not a solution because the value of y = 3.What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
For each order pair, we would determine whether or not it is a solution to y = 0 as follows:
(0, 2): No, it is not a solution because the value of y = 2.(4, 0): Yes, it is a solution because the value of y = 0.(-6, 0): Yes, it is a solution because the value of y = 0.(1, 3): No, it is not a solution because the value of y = 3.Read more on ordered pairs and solutions here: https://brainly.com/question/12179097
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Complete Question:
For each order pair, determine whether it is solution to y = 0.
Is it a solution?
(x, y): yes or no
(0, 2): yes or no
(4, 0): yes or no
(-6, 0): yes or no
(1, 3): yes or no
Can someone help please?
ASAP
Answer:
Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)
Step-by-step explanation:
As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.
11^2 + 5^2 = AC^2
121 + 25 = AC^2
146 = AC^2
sqrt(146) = AC^2
Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)
-7y+10x=140
7y+7x=-21
Solve for y
Answer:
-10
Step-by-step explanation:
add these two equations together to get rid of y. This gives you
x = 7
then plug x back into either equation and you can solve for y !
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Answer:
\(y = -\frac{1}{3}m + 41\)
Step-by-step explanation:
Linear equation:
A linear function has the following format:
\(y = mn + b\)
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
\(m = \frac{-2}{6} = -\frac{1}{3}\)
Thus
\(y = -\frac{1}{3}m + b\)
Finding b:
We take one of the points and replace on the equation.
(30,31) means that \(m = 30, y = 31\). Thus
\(y = -\frac{1}{3}m + b\)
\(31 = -\frac{1}{3}(30) + b\)
\(31 = -10 + b\)
\(b = 41\)
Thus
\(y = -\frac{1}{3}m + 41\)
i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
98317y=1010+2965x
-71389y=5692x-1001
Linear
Or nonlinear
The given equation are linear equations.
To determine whether the given system of equations is linear or nonlinear, we need to examine the power of the variables in each equation.
98317y=1010+2965x
-71389y=5692x-1001
The variable y appears to the power of 1 (no exponent).
The variable x appears to the power of 1 (no exponent).
Since both variables have a power of 1 in both equations, the system is a linear system of equations.
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Find the total amount of water that will leak in the first 24 hours if the leak is not fixed. Use the formula sn=a1-rn1-r and round to the nearest whole milliliter.
77+(1/2)^n-1
whats the formula?
Step-by-step explanation: