Answer:
-0.9 or 0.7
Step-by-step explanation:
1. -1.4--0.5
or
2. -1.4x-0.5
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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classify the quadrilateral formed at the points: A(-3,1) B(4,2) C(9,-3) and D (2,-4)
tags: geometry homework help need fast
Answer:
Step-by-step explanation:
To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.
Using the distance formula, we can find the length of each side:
AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)
BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)
CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)
DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5
Using the slope formula, we can find the measure of each angle:
Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7
m2 = (-3 - 2)/(9 - 4) = -1/5
tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4
ABC = arctan(3/4) ≈ 36.87°
Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5
m2 = (-4 - (-3))/(2 - 9) = 1/7
tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4
BCD = arctan(3/4) ≈ 36.87°
Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1
m2 = (1 - (-3))/(-3 - 9) = 1/2
tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5
CDA = arctan(7/5) ≈ 54.46°
Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7
m2 = (-4 - (-3))/(-3 - 2) = 1/5
tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4
DAB = arctan(3/4) ≈ 36.87°
Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.
4. The average monthly temperatures in New
Orleans, LA has a mean absolute deviation of
43.5°F. What conclusion can you make about
the average monthly temperatures in New
Orleans, LA?
The difference between the monthly mean temperature and the average monthly temperature for New Orleans, Louisiana, is typically about 43.5°F.
Explain about the mean absolute deviation of a discrete data:Assume that the data is n-sized as follows:
x1, x2, x3 .....xn
Let the mean of this data be: x'
The mean of the absolute differences between the observations and the mean of the data to which they belong, then, is the mean absolute deviation of such a data.
It is determined by:
M.A.D = ∑ |xi - x'| / n (i = 1 ....n)
Hence, mean absolute deviation is the average deviation of the data values, regardless of whether it is above or below the mean.
Due to the fact that:
The mean absolute deviation of the monthly temperatures in New Orleans is 43.5°F, which implies that on average, the temperature deviates 43.5°F from the average monthly temperature.
where mean displays New Orleans, Louisiana's typical monthly temperature.
Thus, the difference between the monthly mean temperature and the average monthly temperature for New Orleans, Louisiana, is typically about 43.5°F.
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Michelle bought 45 meters of cloth to make a pillow case.If each pillow case required 3/4 meters long to make one, how many would she make?
Answer:
60
Step-by-step explanation:
\(45 \div \dfrac34=\dfrac{45}{1} \div \dfrac34=\dfrac{45}{1} \times \dfrac43=\dfrac{45\times 4}{1\times 3} =\dfrac{180}{3}=60\)
Answer:
60
Step-by-step explanation:
45:3/4=x:1
\(x = \frac{45 \times 1} { \frac{3}{4} } \\ x = 45 \times \frac{4}{3} \\ x = 60\)
A lumber company is interested in seeing if the number of board feet per has decreased since moving to a new location of timber. In the past, the company has an average 93 board feet per tree. The company believes that the production has decreased changing locations, a random sample of 25 trees yields mean of 89 with standard deviation of 2.Assuming normality of the data, test the hypothesis at a 10 % level of significance.
There is sufficient evidence to suggest that the mean board feet per tree has decreased since moving to the new location of timber.
According to the information,
Set up the following hypothesis test:
Null hypothesis: The mean board feet per tree is still 93.
Alternative hypothesis: The mean board feet per tree is less than 93.
Here,
We can use a one-sample t-test to test this hypothesis.
The test statistic can be calculated as:
t = (sample mean - hypothesized mean)/(sample standard deviation/square root of sample size)
⇒ t = (89 - 93)/(2/sqrt(25))
⇒ t = -5.00
The degrees of freedom for this test are 24.
Using a t-distribution table,
we can find the critical t-value for a one-tailed test with 24 degrees of freedom and a 10% level of significance.
The critical t-value is -1.317.
Since our calculated t-value (-5.00) is less than the critical t-value (-1.317), we can reject the null hypothesis in favor of the alternative hypothesis.
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The floor of a storage unit is 7 feet long and 6 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.
\(\text{Find the distance from one corner to the other}\\\\\text{In this question, we would use the Pythagorean theorem to find the length}\\\text{between corners}\\\\\text{Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{We are trying to find c}\\\\\text{Plug in and solve:}\\\\7^2+6^2=c^2\\\\49+36=c^2\\\\85=c^2\\\\\text{Square root}\\\\\sqrt{85}=\sqrt{c^2}\\\\\sqrt{85}=c\\\\\text{In decimal form, it's: 9.219544}\\\\\text{Round to the nearest tenths place}\\\\\boxed{9.2\,\, feet}\)
solve for h h and 26 is −52
Answer:
If you mean h multiplied by 26 is -52 then h is -2
If it is added to 26 then h is -78
If it is subtracted then h is -26
Step-by-step explanation:
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.939 and the equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.9. What is the best predicted IQ of the wife, that the husband has an IQ of 100? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.)
Answer:
The wife IQ is 103 when the husband IQ is 100.
Step-by-step explanation:
The given equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband.
If the husband IQ is 100 the the wife IQ is
y = -11 + 1.14x,
y = -11 + 1.14(100)
y = -11 + 114
y = 103
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
Issa puts
dollars into an investment with an interest rate of 4 percent per year and
dollars into an investment with an interest rate of 10 percent per year. She invests a total of $5900, and her interest earnings after one year are $434. From this information, we can create two equations: one for the total investment and one for the interest earned. State both equations, and then solve the system to determine how much Issa invested in each.
The equation that describes the total investment is
The equation that describes the interest earned is
Amount invested at 4 percent interest is $
Amount invested at 10 percent interest is $
Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.
Let's assume Issa invests x dollars at a 4 percent interest rate and y dollars at a 10 percent interest rate.
The equation that describes the total investment is:
x + y = 5900
The equation that describes the interest earned is:
0.04x + 0.1y = 434
To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.
From the first equation, we can express x in terms of y:
x = 5900 - y
Substituting this value of x into the second equation, we have:
0.04(5900 - y) + 0.1y = 434
Now, let's solve this equation to find the value of y:
0.04(5900 - y) + 0.1y = 434
236 - 0.04y + 0.1y = 434
0.06y = 198
y = 198 / 0.06
y = 3300
Now that we have the value of y, we can substitute it back into the first equation to find x:
x + 3300 = 5900
x = 5900 - 3300
x = 2600
Therefore, Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.
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Help pls part b is how many batches of jam can the farmer make
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
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Maximizing Profit: Tutorial
? Question
Buzz and Hover Electronics is a company that sells a variety of flying drones. For one model of drone, the cost and revenue
can be described by the given functions and graphs, where x is the number of drones.
R(x) = 180x
C(x) = 65x+13,800
Total (dollars)
+40,000
+35,000
+30,000
+25,000
+20,000
+15.000
D
+10,000
The company cannot maximize profit because the cost of producing outweighs the revenue or profit made
How should they maximize profit?
The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:
P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800
To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.
The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.
Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.
In other words, the company will lose money for each drone produced, so it should not produce any at all.
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Find the surface area of the box shown
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).Learn more about domain and range at https://brainly.com/question/26098895
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HELLLLP I NEED THIS ANSWERED ASAP
Answer:
Step-by-step explanation:
3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.
f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.
f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.
f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).
The radius of a circle is 18.1 cm. Find the circumference to the nearest tenth.
Answer:113.73 round it to the nearest tenth 114
OQ and RT are parallel lines.Which angles are corresponding angles?
The corresponding angles are exactly the same, that is, they measure the same. Therefore, if we know the measure of an angle at one intersection, we also know the measure of its corresponding angle at the second intersection.
In this case:
\(\measuredangle USR=\measuredangle\text{TNS}=\measuredangle\text{OPU}=\measuredangle\text{QPN}\)\(\measuredangle QPU=\measuredangle OPN=\measuredangle RSN=\measuredangle\text{TSU}\)Ashley is training to run a marathon. On Monday, she runs 21 miles in 3 hours. On Wednesday, she runs 10 1/2 miles in 1 1/2 hours. What is the constant of proportionality in miles per hour?
Answer:
10.5 mph
Step-by-step explanation:
To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.
For Monday's run:
Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour
To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour
Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
Select the correct answer.
Which equation, when solved, gives 8 for the value of x?
7
3
O A. x += *x+14
OB. 85-9=31-12
Oct-2=2x-4
OD. 3*-7= 4x+14
Answer:
Answer:
B
Step-by-step explanation:
Remy recorded the favorite sport of students at his school. He surveyed 500 students. How many students chose baseball?
this is 100 points please help as fast as you can
Answer:
75
Step-by-step explanation:
500×15%=
500×.15= 75
At a local university, 40% of students are male and 60% are female. In the male group, 50% major in art, 40% major in science, and the rest major in other. In the female group, 70% major in art, 10% major in science, and the rest major in other.
A.) if a student who majors in science is randomly selected, what is the probability that this student is a female?
B.) if a student is randomly selected, what is the probability that this student is a male or majors in art?
According to the given question we can conclude that the probability that a student who majors in science is a female is approximately 0.375 and the probability that a student is male or majors in art is 0.78.
Explain probability?Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.
A.) To find the probability that a student who majors in science is a female, we need to use Bayes' theorem. Let F be the event that a randomly selected student is female, and S be the event that the student majors in science. Then we have:
P(F|S) = P(S|F) * P(F) / P(S)
We know that P(F) = 0.6 (since 60% of students are female), and P(S|F) = 0.1 (since 10% of female students major in science). To find P(S), we need to use the law of total probability:
P(S) = P(S|F) * P(F) + P(S|M) * P(M)
We know that P(S|M) = 0.4 (since 40% of male students major in science), and P(M) = 0.4 (since 40% of students are male). Therefore:
P(S) = 0.1 * 0.6 + 0.4 * 0.4 = 0.16
Now we can calculate P(F|S):
P(F|S) = 0.1 * 0.6 / 0.16 ≈ 0.375
Therefore, the probability that a student who majors in science is a female is approximately 0.375.
B.) To find the probability that a student is male or majors in art, we need to use the law of total probability again:
P(Male or Art) = P(Male) + P(Art) - P(Male and Art)
We know that P(Male) = 0.4 (since 40% of students are male), and P(Art|Male) = 0.5 (since 50% of male students major in art). We also know that P(Female) = 0.6 (since 60% of students are female), and P(Art|Female) = 0.7 (since 70% of female students major in art). Therefore:
P(Art) = P(Art|Male) * P(Male) + P(Art|Female) * P(Female)
= 0.5*0.4+0.7*0.6
= 0.58
To find P(Male and Art), we can multiply the probabilities of being male and majoring in art:
P(Male and Art) = P(Male) * P(Art|Male)
= 0.4 * 0.5
= 0.2
Now we can calculate P(Male or Art):
P(Male or Art) = 0.4 + 0.58 - 0.2
= 0.78
Therefore, the probability that a student is male or majors in art is 0.78.
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Which choice correctly expresses the number below in scientific notation?
5,790,000
A) 5.79 • 10^7
B) 579 • 10^4
C) 57.9 • 10^5
D) 5.79 • 10^6
E) 579 • 10^6
F) 5.79 • 10^5
Answer:
D
Step-by-step explanation:
In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.
5
Up to now in her Algebra course, Lucy has earned 154 out of a total of 180
points. If there will be 1000 total points in the class, what percentage of the
remaining points must she earn in order to have an overall average of 90% in the
class?
Answer:
846 because 1000-154 is 846 .
Solve h + 6 / 5 = 2
Solve for h
Answer:
-1
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
h + 6 / 5 = 2 * 5
h + 6 = 10 -6
h = 4
Each function below is a translation of the graph of the function f(x) = x^2. Match the function with the description of its relationship to the parent function.
Answer: h(x)=x^2-1: down 1
k(x)=x^2+1: up 1
m(x)=(x-1)^2: right 1
g(x)=(x+1)^2: left 1
Step-by-step explanation: just answered this question on edge 2020.
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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Can somebody help me as sooon as possible
Answer:
x = 193
Step-by-step explanation:
Use the distributive property to eliminate parentheses:
-8x -128 +9x = 65
x = 193 . . . . . . . . . . collect terms, add 128 to both sides
Calculate greatest common divisor by step approach and reduce to lowest terms: 180/440
Answer:
the (GCF) greatest common factor is 20
Step-by-step explanation:
Answer:
divide both the numerator and denominator by the GCD .
440/20
180/20
reduced fraction : 22/9
therefore, 440/180 simplified to lowest terms is 22/9