Answer:
The y intercept of Function A is greater than the y intercept of Function B.
Step-by-step explanation:
-3 is greater than -4.
the function f(x) = 150,000(.85)^x can be used to determine the number of tickets the houston ballet company will sell over time. what does the 150,000represent?
The function f(x) = 150,000(0.85)^x can be used to determine the number of tickets the Houston Ballet Company will sell over time. In this function, the 150,000 represents the initial number of tickets sold before any time has passed (when x = 0).
It serves as the starting point or baseline for the exponential decay of ticket sales over time. As x increases, the function evaluates the number of tickets sold at a particular time, where each subsequent value of x represents a subsequent unit of time (such as days, weeks, months, etc.). The term (0.85)^x represents the decay factor, as it is less than 1 (0.85). Thus, the function models a situation where ticket sales decrease exponentially over time from the initial value of 150,000.
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A Hudson Valley farmer has 26 employees. He pays each employee $410 per week. After paying his workers for one week, the farmer has $126 left in his bank account. How much money did he have to begin with.
Given:
A Hudson Valley farmer has 26 employees.
Salary of each employee = $410 per week.
Remaining amount after one week = $126
To find:
The initial amount of money he begins with.
Solution:
We have,
Amount he pays to one employee in one week = $410
Amount he pays to 26 employee in one week = 26 × $410
= $10660
Let x be the initial amount of money he begins with.
Remaining amount = Initial amount - Amount he pays to 26 employee in one week
\(126=x-10660\)
\(126+10660=x\)
\(10786=x\)
Therefore, the initial amount of money he begins with is $10786.
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? (Consider using a double number line, tape diagram, or ratio table)
Answer:
there are 101 black marbles
Step-by-step explanation:
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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Of the three Ms, the ______ is especially useful when extreme figures may warp the average. a) mode b) margin c) mean d) median. d) median.
Of the three Ms, the median is especially useful when extreme figures may warp the average. It is because the median is the middle value in a set of data, and it is not affected by extreme values as the mean is.
The three Ms refer to the measures of central tendency: mean, median, and mode. These measures help summarize and describe a dataset.
In situations where extreme figures may distort the average, the median is particularly useful. The median is the middle value in a dataset when the data is arranged in ascending or descending order.
It is not affected by extreme values, also known as outliers, as it only considers the position of the middle value.
Unlike the mean, which takes into account all values and can be influenced by extreme figures, the median provides a more robust measure of central tendency.
It is resistant to the influence of outliers and extreme values, making it a suitable choice when extreme figures may warp the average.
Therefore, it provides a more accurate representation of the data.
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What is the multiplier?
A. 0.123
B. 0.111
C. 9
D. 81
Answer:
it is eather d or b
Step-by-step explanation:
Union Pacific Railroad (UNP) had net income of $4,388M in 2013 after interest expenses of
$803M. (The tax rate was 38%.) Depreciation was $1,777M, and capital spending was $3,405M.
The firm had $12,990M in debt on the books, rated A-, with an average yield to maturity of 3.5%,
trading at par. The stock’s beta was 1.02, and there were 456M shares outstanding with a book
value of $19,877M, trading at $168 per share. Union Pacific's working capital needs were
negligible, and the firm had $1,432M in cash. The Treasury bond rate was 3%, and the risk
premium was 5%.
a. Find EBIT and estimate the free cash flow to the firm in 2013.
b. What is the firm’s return on capital (ROC)? What fraction π of after-tax operating income is
the firm reinvesting? Use these to estimate the growth rate of cash flows (g = ROC × π).
c. Assume the firm’s income will grow at this rate for seven years, after which growth will
decline to 3% thereafter due to falling returns on capital. Use a two-stage model to estimate
the value of the firm at the end of 2013 using the FCF approach. Also, estimate the value of
equity, and the value per share.
d. Estimate the free cash flow to equity in 2013. (The firm added $452M to debt in 2013.)
e. What is the firm’s return on equity (ROE)? What fraction π of net income is the firm
reinvesting? Use these to estimate the growth rate of net income (g = ROE × π).
f. Assume the firm’s earnings will grow at this rate for seven years, after which growth will
decline to 3% thereafter due to falling returns on equity. Use a two-stage model to estimate
the value of equity at the end of 2013 using the FCFE approach (don’t forget to add cash).
Also, estimate the value per share.
g. Union Pacific paid a dividend of $2.96 per share in 2013. What fraction of 2013 FCFE does
this represent? Would the dividend discount valuation model work well for this firm?
a. EBIT = $4,388M + $803M + (0.38 * $4,388M); Estimate FCFF = EBIT * (1 - Tax Rate) + Depreciation - CapEx.
b. ROC = EBIT / (Debt + Equity); π = (1 - Dividend Payout Ratio); g = ROC * π.
c. Use a two-stage model to estimate firm value, equity value, and value per share based on FCFF approach, assuming growth rate declines after seven years.
d. FCFE = FCFF - (Interest Expenses * (1 - Tax Rate)) + Net New Borrowing.
e. ROE = Net Income / Equity; π = (1 - Dividend Payout Ratio); g = ROE * π.
f. Use a two-stage model to estimate equity value and value per share based on FCFE approach, considering declining growth rate after seven years.
g. Fraction of FCFE represented by dividend per share = Dividend per share / FCFE; Suitability of dividend discount valuation model depends on various factors.
a. The EBIT for Union Pacific Railroad in 2013 can be calculated as follows:
EBIT = Net Income + Interest Expenses + Tax Expense
= $4,388M + $803M + (Tax Rate * Net Income)
= $4,388M + $803M + (0.38 * $4,388M)
To estimate the free cash flow to the firm (FCFF) in 2013, we need to subtract the capital spending (CapEx) and add the depreciation:
FCFF = EBIT - Taxes + Depreciation - CapEx
= EBIT * (1 - Tax Rate) + Depreciation - CapEx
b. Return on capital (ROC) can be calculated as the ratio of EBIT to the sum of debt and equity:
ROC = EBIT / (Debt + Equity)
The fraction π of after-tax operating income that the firm reinvests can be calculated as:
π = (1 - Dividend Payout Ratio)
The growth rate of cash flows (g) can be estimated by multiplying ROC and π:
g = ROC * π
c. To estimate the value of the firm at the end of 2013, we can use the two-stage model. In the first stage, we assume the cash flows will grow at the estimated rate (g) for seven years. In the second stage, the growth rate declines to 3% due to falling returns on capital. The value of the firm can be calculated using the free cash flow to the firm (FCFF) approach. The value of equity can be estimated by subtracting the debt from the value of the firm, and the value per share can be obtained by dividing the value of equity by the number of shares outstanding.
d. The free cash flow to equity (FCFE) can be estimated by subtracting the interest expenses (net of tax) from the FCFF and adding the net new borrowing (increase in debt):
FCFE = FCFF - (Interest Expenses * (1 - Tax Rate)) + Net New Borrowing
e. Return on equity (ROE) can be calculated as the ratio of net income to the equity:
ROE = Net Income / Equity
The fraction π of net income that the firm reinvests can be calculated as:
π = (1 - Dividend Payout Ratio)
The growth rate of net income (g) can be estimated by multiplying ROE and π:
g = ROE * π
f. Similar to part (c), we can use the two-stage model to estimate the value of equity at the end of 2013 using the free cash flow to equity (FCFE) approach. The value of equity is obtained by adding the cash to the estimated value of equity. The value per share can be calculated by dividing the value of equity by the number of shares outstanding.
g. To determine the fraction of 2013 FCFE represented by the dividend per share, we divide the dividend per share by the FCFE. Whether the dividend discount valuation model would work well for this firm depends on various factors such as the company's future dividend policy, growth prospects, and the discount rate used in the valuation model.
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7(x-1) - 2 = 180
all steps shown, and if u want write a proof column but pls hellpppp doing a midterm and i literally forgot all i know
Answer:
Sure, I can help you solve the equation step by step!
7(x-1) - 2 = 180
First, we can simplify the left side by distributing the 7:
7x - 7 - 2 = 180
Simplifying further, we can combine like terms:
7x - 9 = 180
To isolate the variable, we can add 9 to both sides of the equation:
7x - 9 + 9 = 180 + 9
Simplifying:
7x = 189
Finally, we can solve for x by dividing both sides by 7:
x = 27
Therefore, the solution to the equation 7(x-1) - 2 = 180 is x = 27.
Proof:
To check our solution, we can substitute x = 27 back into the original equation and see if both sides are equal:
7(x-1) - 2 = 180
7(27-1) - 2 = 180
7(26) - 2 = 180
182 - 2 = 180
180 = 180
Since both sides are equal, we have verified that x = 27 is the correct solution.
I Hope This Helps!
you are skiing down a mountain with a vertical height of 1250 feet. the distance that you ski as you go from the top down to the base of the mountain is 3050 feet. find the angle of elevation from the base to the top of the mountain. round your answer to a whole number as necessary. degree
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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The sum of 2 numbers is 18. Two times the greater number equals the sum of 4 times the lesser number and 6.
Which system of equations could be used to find the 2 numbers?
a. x+y=18
2x + 6 = y
b. x + y = 18
2x = 4y + 6
c. x + y = 18
2y = 6x +4
The sum of two numbers is 18.
\(x+y=18\)Let greater number be x and lesser number be y.
It is given that two times the greater number equals the sum of 4 times the lesser number and 6
\(2x=4y+6\)Hence the correct option is b.
Will someone help! i will mark brainliest
Answer:
A
Step-by-step explanation:
Fraction of Juniors in Company B over total number of students.
What is the slope-intercept equation
for the following line?
y = [²][ ]x + [ ]
Answer:
y = -4x + (-3) or y = -4x - 3,
Step-by-step explanation:
So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3
Can someone help me?
Answer:
1 feet
Step-by-step explanation:
15-14
Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.
Complete question is;
Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter. Write the equation of the circle.
Answer:
x² + y² - 6x + 2y + 5 = 0
Step-by-step explanation:
The end points of the diameter are;
(4. -3) and (2, 1).
Thus, the centre coordinates will be the midpoint of the diameter endpoints.
Thus;
Centre coordinates = ((4 + 2)/2), ((-3 + 1)/2) = (3, -1)
Diameter;
d = √(1 - (-3))² + (2 - 4)²)
d = √20
d = 2√5
Radius = ½ × diameter
Thus;
r = ½ × 2√5
r = √5
Equation of a circle is;
(x - a)² + (y - b)² = r²
Where;
(a, b) are coordinates of the centre of the circle
r is radius.
Thus;
(x - 3)² + (y - (-1))² = (√5)²
x² - 6x + 9 + y² + 2y + 1 = 5
x² + y² - 6x + 2y + 10 = 5
x² + y² - 6x + 2y + 10 - 5 = 0
x² + y² - 6x + 2y + 5 = 0
the p-value of the test is .0202. what is the conclusion of the test at =.05?
Given that your p-value (0.0202) is less than the significance level of 0.05, we would reject the null hypothesis at the 0.05 significance level. This suggests that the observed data provides sufficient evidence to conclude that there is a statistically significant effect or relationship, depending on the context of the test.
In statistical hypothesis testing, the p-value is used to determine the strength of evidence against the null hypothesis. The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true.
In your case, the p-value of the test is 0.0202. When comparing this p-value to the significance level (also known as the alpha level), which is typically set at 0.05 (or 5%), the conclusion can be drawn as follows:
If the p-value is less than or equal to the significance level (p ≤ α), we reject the null hypothesis.
If the p-value is greater than the significance level (p > α), we fail to reject the null hypothesis.
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marked a increments of 5 s and the yertical axil in marked in increments st 1mil. (a) o th 10.00÷ min (8) 6 in 20−00= (c) 10.0000000.00 mes: (d)20.00 to 35.00 s miss (ie) 0 to 40.00 s
The given graph is a rectangular hyperbola graph because the product of the variables, that is x and y, is constant. The equation of a rectangular hyperbola is y=k/x. k is the constant value. The variables x and y are inversely proportional to each other.
Thus, as x increases, y decreases, and vice versa.GraphA rectangular hyperbola graph with labeled axesThe horizontal axis is labeled in increments of 5s. The vertical axis is labeled in increments of 1mil. a) On the graph, 10.00 ÷ min is 0.1mil. Thus, 10.00 ÷ min corresponds to a point on the graph where the vertical axis is at 0.1mil.b) At 6 in 20-00, the horizontal axis is 6, which corresponds to 30s.
The vertical axis is 20-00 or 2000mil, which is equivalent to 2mil. The coordinates of the point are (30s, 2mil).c) At 10.0000000.00 mes, the horizontal axis is at 100s. The vertical axis is 0, which corresponds to the x-axis. The coordinates of the point are (100s, 0).
d) From 20.00 to 35.00s, the vertical axis is at 4mil. From 20.00 to 35.00s, the horizontal axis is at 3 increments of 5s, which is 15s. The coordinates of the starting point are (20.00s, 4mil). The coordinates of the ending point are (35.00s, 4mil). The point on the graph is represented by a horizontal line segment at y=4mil from x=20.00s to x=35.00s. Similarly, from 0 to 40.00s, the coordinates of the starting point are (0, 10mil).
The coordinates of the ending point are (40.00s, 0). The point on the graph is represented by a curve from (0, 10mil) to (40.00s, 0).
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is 128 degrees and 52 degrees complementary,supplementary, or neither
Answer:Supplementary
Step-by-step explanation:
They add to 180, making them supplementary.
a plumber charges
\( \frac{1}{4} \)
of the cost of materials as a labor free. if the materials dor the current job cost $130.00, how much will the plumber charge the client?
respuesta: $32,5
Step-by-step explanation:
Divide los $ 130,00 entre 4 y obtendrás cuanto cobra el fontanero como mano de obra
Can someone HELP me please
Answer:
I'm gonna give the steps. you can calculate
Step-by-step explanation:
a squared + b squared = c squared
15 squared + b squared = 17 squared
then find the value of b squared
225 + b squared = 289
subtract 225 on both sides
b squared = 64
b = 8
I'm not very sure but I hope you get the idea
Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
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What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
The equation of this graphed line is equal to y = -9x/8 + 7.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 7)/(8 - 0)
Slope (m) = -9/8
At data point (0, 7) and a slope of -9/8, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 7 = -9/8(x - 0)
y - 7 = -9x/8
y = -9x/8 + 7
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How do you write a homogeneous system in parametric vector form?
A homogeneous system in parametric vector form:
(x1,x2,x3) = (s,s,-0.25s)
Parametric vector Form:
Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.
So the set of parametric equations is x = t and y=t²+5.
According to the Question:
We are to solve them in parametric form.
X₁ + 2X₂ + 12X₃ = 0 ----------------------- (1)
2X₁ + X₂ + 12X₃ = 0 ----------------------- (2)
-X₁ + X₂ = 0 ----------------------- (3)
From equation 3 we get
x₁ = x₂
Substitute in 1 and 2 to get
3x₁ + 12x₃ = 0 and
3x₁ + 12x₃ = 0
Thus, we find these two equations are dependent. So we can have infinite solutions in parametric form only.
No unique solution is possible
Let x₁ = x₂ = s
Since 3x₁ +12x₃ = 0
x₁ = -4x₃
Or x₃ = -0.25s
So solution in parametric form is
(x1,x2,x3) = (s,s,-0.25s) for all real values.
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A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
The height of the wind turbine where the distance from it's base to buoy is 150 meters and angle of elevation is 28°, is equals to the 281.95 meters.
See the above figure carefully. Let there present right angled triangle be ∆ABC. We have length of buoy away from the base of a wind turbine(AB), BC = 150 meters
Angle of elevation from the buoy to the top of the wind turbine, BAC = 28°
We have to determine height of the wind turbine that is length of AB. As we see this is a right angled triangle so we will use trigonometric functions. Now, tangent function of angle
= height/base length. Here, consider the function for angle 28°, so tan (28°) = BC/AB
=> tan (28°) = 150/AB
=> AB = 150/tan (28°)
=> AB = 150/0.532
=> AB = 281.954887218 ~ 281.95
Hence, required value is 281.95 meters.
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Complete question:
The above figure comples the question. A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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Solve the system of equations algebraically.
3X - 3y = 6
6x - 7y = 5
Answer: 9,7
Step-by-step explanation:
i hope this is the answer you were hoping for and try not to strees to much over school you got this!<3
Answer:
\(\sf \: Answer \rightarrow (x,y) = (9,7)\)
Step-by-step explanation:
To solve the given linear equations of two variable, follow the steps below,
Step 1:
Write down both the equation and mark them as equation one & equation two respectively.
\(3x - 3y = 6 \hookrightarrow \: eq.1 \\ 6x - 7y = 5 \: \hookrightarrow \: eq.2 \)
Step2:
Try to equal the coefficient of any one variable by multiplying with required factor & mark as equation 3 for e.g.
\( \small \sf \: multiplying \: equation \: 1 \: with \:2 \\ 3x \times 2 - 3y \times 2= 6 \times 2 \\ 6x - 6y = 12 \: \hookrightarrow \: eq.3\)
Step3:
Add or subtract both the equation having equal coefficient of one variable,
Add equations if variable with same coefficient have opposite sign,
Subtract equation if variable with same coefficient have same sign.
\( \small\sf \: on \: subtracting \: \: equation \: 2\: from \: eq.3 \)
\( \sf \: 6x - 6y = 12 \\ \sf - 6x + 7y = - 5 \\ \hline \sf 0x + y = 7 \\ \boxed{y = 7}\)
Step 4:
Substitute the derived value of a variable in any of above equation to calculate unknown variable,
\( \small \sf \: Substituting \: value \: of \: y \: in \: eq.1,\)
\(3x - 3y = 6 \\ 3x - 3 \times 7 = 6 \\ 3x = 6 + 21 \\ x = \frac{27}{3} \\ \boxed{x = 9}\)
\( \small \sf \: Answer \rightarrow (x,y) = (9,7)\)
\( \sf \: Thanks \: for \: joining \: brainly \: community! \\ \hline\)
A 4-pint carton of sour cream costs $9.12. What is the price per cup?
Mrs. Harrison is going to make cookies for her class. She needs 3 2/5 cups of flour and 1 2/3 cups of sugar.About how many total cups of flour and sugar does Mrs.Harrison need?
Answer:
5 and 1/15 cups of flour and sugar
Step-by-step explanation:
2/5 = 6/15
2/3 = 10/15
6 + 10 = 16/15 = 1 and 1/15
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
Which types of formulae can not be derived by an application of existential elimination (EE)? 1 points A. atomic formulae B. conjunctions C. disjunctions D. conditionals E. biconditionals E. negations G. universals H. existentials I. the falsum J. none of the above-all formula types can be derived using E
The formulae that can not be derived by an application of existential elimination are J. none of the above-all formula types can be derived using E
A logical inference rule known as existential elimination (EE) permits the deletion of an existential quantifier () from a formula. By demonstrating that a new variable meets a specific attribute or condition, it is generally used to add a new variable into a proof and eliminate the existential quantifier. As a result, it enables the removal of an existential quantifier and its replacement within a new assumption with a substitute instance created with an unused name.
No matter what kind of formula it is, EE may be used to any formula that has an existential quantifier. Atomic formulas, conjunctions, disjunctions, conditionals, biconditionals, negations, universals, existentials, and even the falsum, which denotes a contradiction, are all included in this.
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Find the slope of the line through the points (-3, 1) and (-1,5).
Answer:
See below.
Step-by-step explanation:
(-3,1) and (-1,5)
The formula for finding slope is (y²- y¹)/(x²- x¹).
(5-1)/(-1-(-3))
(4)/(2)
2
The slope would be 2.
-hope it helps
Hi! I hope you're enjoying your day!
Use the Slope formula:
\(\bold{\displaystyle\frac{y2-y1}{x2-x1}}\)
\(\bold{\displaystyle\frac{5-1}{-1-(-3)}}\)
\(\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}\)
Hence, the slope is
\(\boxed{\boxed{\bold{2}}}\)
Hope everything is clear.
If you have any questions, please comment.
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\(\rule{250}{2}\)