Answer:
AB = (7, 4)
Step-by-step explanation:
The components of vector AB are found by subtracting the coordinates of A from the coordinates of B.
__
On this graph, no coordinates are shown. We assume each grid line represents 1 unit.
If we assign coordinates (0, 0) to A, then B is 7 units right and 4 units up. Its coordinates are (7, 4) and the difference is ...
AB = B -A = (7, 4) -(0, 0)
AB = (7, 4)
From 24 to 30 teachers
Which could be the function graphed below?
Kim stands in a line of people. She is the 25th person counting from the front of the line. She is the 12th person counting from the rear. How many people are in the line
Kim stands in a line of people, being the 25th person counting from the front and the 12th person counting from the rear, there are total 34 people in the line.
To find the total number of people in the line, we can add the number of people in front of Kim and the number of people behind Kim, then subtract one to account for Kim herself.
At the front of the line, there are 24 people in front of Kim (since she is the 25th person counting from the front). From the rear of the line, there are 11 people behind Kim (since she is the 12th person counting from the rear).
To find the total number of people in the line, we can add these two numbers:
24 (people in front of Kim) + 11 (people behind Kim) = 35
However, we need to subtract one to account for Kim herself. Therefore, the total number of people in the line is 35 - 1 = 34.
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Can anyone help w/ this?
Answer:
\(170in^3\)
Step-by-step explanation:
\(V=\pi r^2h=\pi *3^2*6=169.646\\=170in^3\)
an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute
The height of the plane is modeled by the linear equation:
height = 3000ft - 2000ft*t
How to get the plane height equation?If the rate at which the plane descends is constant, then the height is modeled by a linear equation.
We can write:
height = initial height - rate*time
We know that the initial height is 3000ft, and that the plane descends at ar ate of 2,000ft per minute, then we can write the linear equation:
height = 3000ft - 2000ft*t
Where t is the time in minutes.
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Complete question:
"an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute, which will be the height of the plane after t minutes?"
Use technology to find f'(4), f'(15), f'(-3) for the given function when the derivative exists. f(x)=-3x² + 11x
Evaluating the derivative we will get:
f'(4) = -86f'(15) = -1,340f'(-3) = -44How to evaluate the derivative?Here we have the cubic function:
f(x)=-3x² + 11x
We want to evaluate the derivative, so the first thing we need to do is find the derivative.
f'(x) = 2*(-3x²) + 11
f'(x) = -6x² + 11
So now we have a quadratic that we need to evaluate.
f'(4) = -6*4² + 11 = -86
f'(15) = -6*15² + 11 = -1,340
f'(-3) = -6*(-3)² + 11 = -44
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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 points
An epidemic of influenza spreads through a city. The figure below is the graph of I = f(w), where I is the number of individuals (in thousands) infected w weeks after the epidemic begins.
1. Estimate f(2) and explain its meaning in terms of the epidemic.
2. Approximately how many people were infected at the height of the epidemic? When did that occur? Write your answer in the form f(a) = b.
3. For approximately which w is f(w) = 4.5; explain what the estimates mean in terms of the epidemic.
4. An equation for the function used to plot the image above is f(w) = 6w(1.3)-w. Use the graph to estimate the solution of the inequality 6w(1.3)-w ≥ 6. Explain what the solution means in terms of the epidemic.
1. F(2)=7 it means 7000 people are infected after two week of epedemic began
2.after the height of epidemic,approximately 8.4 thousand people were infected.it occured at 4 weeks since the epidemic begin .f(4)=8.4
3.f(w)=4.5 w is approximately 1 and 9.5 it means 4.5 thousand people wewe infected.
4.The inequality 6w(1.3)-w 6 is equivalent to 7.8w 6. When we solve for w, we obtain w 0.77.
What is graph?Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.
We may deduce from the graph that f(2) is around 2.5. This indicates that around 2,500 people become sick two weeks after the outbreak begins.
So, f(4) = 8.5.
Based on the graph, we may estimate that f(w) is equal to 4.5 at w = 3. This suggests that around 4,500 people became sick three weeks after the outbreak began.
The inequality 6w(1.3)-w 6 is equivalent to 7.8w 6. When we solve for w, we obtain w 0.77. We can estimate f(1) from the graph, thus the solution to the inequality suggests that at least 7.8 thousand people were infected at least 0.77 weeks after the outbreak began. This might be the number of people affected immediately after the outbreak began.
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Please help.
Algebra.
Answer:
d. solve for 'y' in the second equation
The first step is to solve for 'y' after that you will substitute it in the next step ie when using substitution method.
Please help and explain.
Answer:
$y=\frac{-2}{9}x+\frac{61}$
Step-by-step explanation:
For two lines to be parallel to each other, it means they have to have the same slope. So, the question is really asking for the line through $(8, 5)$ that has the same slope as the line shown.
We can start by finding the slope of the line shown. Recall that given two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$, the slope of the line between them is $\frac{y_{2}-y_{1}}{x_{2}-x{1}}$, or more commonly remembered as rise over run. Plugging in the points $(-3, 1)$ and $(6, -1)$ into the equation for the slope, we see that the slope of the line shown is $\frac{-1-1}{6-(-3)}=\frac{-2}{9}$.
We recall that the point-slope form of a line is such that given a point $(x_{1}, y_{1})$ and the slope $m$, the equation for a line with that slope through the given point is $y-y_{1}=m(x-x_{1})$(Note: divide by $x-x_{1}$. What does that remind you of?). Plugging in our point and slope, we have that the equation for the line we want is $y-5=\frac{-2}{9}(x-8)$. Expanding the right-hand side gives $y-5=\frac{-2}{9}x+\frac{16}{9}$.
Adding $5$ to both sides gives the desired $\boxed{y=\frac{-2}{9}x+\frac{61}}$
Write 7\40 as a decimal
Answer: 0.17
Step-by-step explanation:
Answer:
0.175
Step-by-step explanation:
\(\frac{7}{40}\)
to express as a decimal divide 7 by 40 , that is
7 ÷ 40 = 0.175
Margaret has $200 in her savings account. She will save $50 more dollars each week and not take any money out of the account. Which table represents this situation?
A firm with $600,000 in sales, cash on hand of $750,000, liabilities of $200,000, and total assets of $1 million has a total asset turnover of
the firm has a total asset turnover of 0.6, which means that for every $1 of total assets, the firm generates $0.6 in sales. This ratio indicates the firm's efficiency in utilizing its assets to generate revenue
Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing the total sales by the average total assets. In this case, the firm has $600,000 in sales and total assets of $1 million.
Total Asset Turnover = Total Sales / Average Total Assets
To calculate the average total assets, we sum the beginning and ending total assets and divide by 2:
Average Total Assets = (Beginning Total Assets + Ending Total Assets) / 2
Given that the firm's total assets are $1 million, the average total assets would also be $1 million.
Plugging in the values into the total asset turnover formula:
Total Asset Turnover = $600,000 / $1,000,000 = 0.6
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Hannah has liabilities totaling $30,000 (excluding her mortgage of $100,000 ). Her net worth is $45,000. What is her debt-to-equity ratio? 0.75 0.45 0.67 1.30 1.00
Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.
Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.
We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.
We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.
Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.
Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)
Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.
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4 (x+5) = 4 (3+x) helppp
Answer:
This is a no solution (if you're asking to solve this equation). It will lead to:
20 = 12
Which is NOT equal.
The answer is thus No Solution.
Step-by-step explanation:
4(x + 5) = 4(3 + x) ~ Distribute it
4x + 20 = 12 + 4x ~ Subtract the x
20 = 12 ~ Remaining
20 does NOT equal 12.
The answer is No Solution.
can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
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please help thank you so much
Answer:
Q=63 degrees
Step-by-step explanation:
R=60 degrees
since T=123 degrees, S=180-123=57 degrees
There is 180 degrees in a triangle
Q=180-60-57
Q=63 degrees
A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?
Answer: 120
Step-by-step explanation:
Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.
The total number of marbles in the bag : 2+2+1+5+6=16
Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is
\(\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120\) [\(\because\ C(n,1)=n\)]
Hence, the number of sets of four marbles include one of each color other than lavender = 120
Give an intuitive explanation of why correlation
between a random x and the error term causes the least squares
estimator to be inconsistent.
When there is correlation between a random explanatory variable (x) and the error term in a regression model, it introduces a form of endogeneity or omitted variable bias.
Intuitively, if there is correlation between x and the error term, it means that the variation in x is not completely random but influenced by factors that are also affecting the error term. This violates one of the key assumptions of the least squares estimator, which assumes that the explanatory variable is uncorrelated with the error term.
As a result, the least squares estimator becomes biased and inconsistent. Here's an intuitive explanation of why this happens:
Omitted variable bias: When there is correlation between x and the error term, it suggests the presence of an omitted variable that is affecting both x and the dependent variable. This omitted variable is not accounted for in the regression model, leading to biased estimates. The estimated coefficient of x will reflect not only the true effect of x but also the influence of the omitted variable.
Reverse causality: Correlation between x and the error term can also indicate reverse causality, where the dependent variable is influencing x. In such cases, the relationship between x and the dependent variable becomes blurred, and the estimated coefficient of x will not accurately capture the true causal effect.
Inefficiency: Correlation between x and the error term reduces the efficiency of the least squares estimator. The estimated coefficients become less precise, leading to wider confidence intervals and less reliable inference.
To overcome the problem of inconsistency due to correlation between x and the error term, econometric techniques such as instrumental variables or fixed effects models can be employed. These methods provide alternative strategies to address endogeneity and obtain consistent estimates of the true causal relationships.
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Find the exact coordinates of the point at which the following curve is steepest: y = 50/1+ 6e^-2t for greaterthanorequalto 0
Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.
To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:
y = 50 / (1 + 6e^(-2t))
To find the derivative, we can use the quotient rule:
y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2
Simplifying this expression, we get:
y' = (72e^(-2t))/(1 + 6e^(-2t))^2
To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:
(72e^(-2t))/(1 + 6e^(-2t))^2 = 0
Since the numerator cannot be zero, we focus on the denominator:
(1 + 6e^(-2t))^2 = 0
Taking the square root of both sides, we get:
1 + 6e^(-2t) = 0
Solving for e^(-2t), we have:
e^(-2t) = -1/6
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for the following diagram, angles 3 and 6 are:
Answer:
alternate
is this an exam or test?
What is the zero vector of a null space?
The zero vector of a null space is the vector that satisfies the equation Ax = 0, where A is a matrix and x is a vector.
What is a null space ?In linear algebra, the null space (also called kernel) of a matrix A is the set of all vectors x such that Ax = 0. In other words, it is the set of all solutions to the homogeneous equation Ax = 0.
The zero vector of a null space is the vector that when multiplied by the matrix A results in the zero vector, which means that it is a solution to the homogeneous equation Ax = 0.
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AB=3x, BC=x+5 and AC=24. what is the midpoint of ac?
IF AB=3x, BC=x+5 and AC=24 then the midpoint of AC is point B.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
WE have given that AB=3x, BC=x+5 and AC=24. Since B is the midpoint, then we have:
AB = BC = AC/2
Now Substitute and solve for x:
AB = BC
x + 5 = 3x
x + -3x = -5
2x = 5
x = 5/2
AB = 3(5/2) = 15/2
BC = x + 5 = 5/2 + 5 = 15/2
Hence, the midpoint of AC is point B.
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write the the ratio as a fraction in the simplest form with whole numbers in the numerator and denominator 8hr to 28hr
Answer:
Step-by-step explanation:
To simplify the ratio, you divide both variables by the same number.
The ratio given is 8:28. 8 and 28 can both be divided by 4. So then you do 8/4:28/4 which equals 2:7.
Then to write the ratio as a fraction:
2:7 is the same as 2/7.
Is triangle ABC obtuse-angled?.
Solve using substitution method. 9x -y +7=0 13x - 4y +5 = 0.
The value of x = -1 and y = -2 by solving the system of equation by using the substitution are 9x - y + 7 = 0 and 13x - 4y + 5 = 0
Given that,
The system of equation are 9x - y + 7 = 0 and 13x - 4y + 5 = 0
We have to solve the system of equation by using the substitution method.
We know that,
Take the system of equation
9x - y + 7 = 0 --------->equation(1)
13x - 4y + 5 = 0 ---------> equation(2)
From the equation (1)
9x - y + 7 = 0
y = 9x + 7
Substitute y = 9x + 7 in equation(2)
13x - 4y + 5 = 0
13x - 4(9x + 7) + 5 = 0
13x - 36x - 28 + 5 = 0
- 23x - 23 = 0
-23x = 23
x = -1
Now, Substitute x = -1 in equation(1)
y = 9(-1) + 7
y = -9 + 7
y = -2
Therefore, The value of x=-1 and y=-2
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7 minus the quotient of 6 and v
Answer:
(\(\frac{6}{v}\)) - 7
Step-by-step explanation:
7 minus the quotient of 6 and v
\/
(\(\frac{6}{v}\)), 7 minus
\/
(\(\frac{6}{v}\)) - 7
Have a nice day!
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- Heather
What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?
Answer:
4.53%
Step-by-step explanation:
We are told that:
From the question, we have a 6.5 % coupon
Hence = 6.5 × $10
= $65
Price of the bond one year later = $1,037.19
$1,054.47 - $1,037.19
= $17.28
Rate of Return
= ($65.00 - $17.28)/$1,054.47
47.72 ÷ 1054.47 = 0.045254962
0.045254962 × 100 =
4.5254962 %
Approximately = 4.53%
The product of two whole numbers is 10,000, If neither number contains a zero digit, what are the two numbers?
Find the distance between point k and point L
The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.
What do you call the distance between points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.
The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.
x,y = (-8,0) (-8,0)
or
x/y = -8/0
If there was an association between L and K, we would use x,y = 8,0.
Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."
Therefore, the answer is -8,0.
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The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players.
The model, represented by y=0.15x−1.5, is graphed with a scatter plot.
Use the graph and the table to answer the questions.
Player A had 154 hits in 2015. How many home runs did he have? How many was he predicted to have?
Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
What would you expect to see in the graph for a player who hit many fewer home runs than the model predicted?
Tο depict the relatiοnship between twο numerical variables using Data visualizatiοn that is knοwn as a scatterplοt.
What is a Scatterplοt?Using this scatterplοt, we graphed a line using linear regressiοn. This line can use as οur reference pοint and ignοre the rest οf the pοints οn the graph.
We will examine this graph and try tο find apprοximately what value οf y is given when we prοvide an x value.
Since the number οf hits is the x value, tο find hοw high the graph gοes at that x value we can lοοk at the graph tοο.
Right between 100 and 150 is 125, sο we can nοw start there and mοve up.
When we mοve up, we get a line that's between 10 and 20. We can alsο view it's in the tοp half οf that bοx. That means the value οf y fοr this will be mοre than 15.
Since it's nοt lying directly οn 20, we have the οnly οptiοn left is 18.
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