Answer:
slope = 11/2
Step-by-step explanation:
If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.
Point 1: (-4, 7) Point 2: (-6, -4)
x₁ = -4 x₂ = -6
y₁ = 7 y₂ = -4
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
7 - (-4) = m(-4 - (-6)) <----- Insert values
11 = m(2) <----- Simplify
11/2 = m <----- Divide both sides by 2
[tex]\huge\boxed{\frac{11}{2}}[/tex]
The slope is equivalent to vertical change divided by horizontal change, otherwise known as "rise over run".
Therefore, the slope can be represented with the following equation, where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are your points:
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values and simplify to find the answer.
[tex]\dfrac{(-4)-7}{(-6)-(-4)}[/tex]
[tex]\dfrac{-4-7}{-6+4}[/tex]
[tex]\dfrac{-11}{-2}[/tex]
[tex]\boxed{\frac{11}{2}}[/tex]
Find the surface area of the composite solid to the nearest hundredth.
A composite solid of a square prism with a square pyramid extending from the top and bottom face of the prism. The width, length, and height of the prism are all 5 inches. The slant height of the pyramid on the bottom of the prism is 7.5 inches. The height of the pyramid on top of the prisim is 3 inches.
The surface area of the composite solid is 255 square inches.
How to find the surface area of the composite solid?We will compute the surface area of each component and then add them together to find the surface area of the composite solid.
First, the surface area of the square prism:
Given: The square prism has a width, length, and height of 5 inches each.
Formula for the surface area of a rectangular prism: 2lw + 2lh + 2wh
Surface area of the prism = 2(5 * 5) + 2(5 * 5) + 2(5 * 5)
= 2(25) + 2(25) + 2(25)
= 50 + 50 + 50
= 150 square inches
Next, the surface area of the square pyramid at the bottom:
Given: The slant height of the pyramid on the bottom of the prism = 7.5 inches.
The base of the pyramid is a square with a side length of 5 inches.
Formula to find the lateral surface area of a square pyramid: (perimeter of base) * slant height / 2.
The base is a square, the perimeter is 4 times the side length.
Lateral surface area of the bottom pyramid = (4 * 5) * 7.5 / 2
= 20 * 7.5 / 2
= 150 / 2
= 75 square inches
Then, the Surface area of the square pyramid at the top:
Given: The height of the pyramid on top of the prism = 3 inches.
The base of the pyramid is a square with a side length of 5 inches.
Lateral surface area of the top pyramid = (4 * 5) * 3 / 2
= 20 * 3 / 2
= 60 / 2
= 30 square inches
Finally, we shall find the total surface area by summing up the surface areas of each component in this way:
Total surface area = Surface area of the prism + Surface area of the bottom pyramid + Surface area of the top pyramid
= 150 + 75 + 30
= 255 square inches
Therefore, the surface area of the composite solid = 255 square inches.
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You have $400,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?
You will be able to withdraw $3,548.50 per month for 20 years if you have $400,000 saved for retirement and earn 10% interest.
To calculate the monthly withdrawals for a given time period, we can use the present value annuity formula. This formula allows us to calculate the fixed monthly withdrawal amount needed to deplete a given initial amount (in this case, $400,000) over a specified time period (20 years) at a given interest rate (10%).
The formula for present value annuity is:
PMT = PV * r / (1 - (1 + r)⁻ⁿ)
Where:
PMT = the fixed monthly withdrawal amount
PV = the present value of the initial investment ($400,000)
r = the interest rate per month (10%/12 = 0.00833)
n = the total number of monthly withdrawals (20 years * 12 months per year = 240)
Plugging in the values, we get:
PMT = 400,000 * 0.00833 / (1 - (1 + 0.00833)⁻²⁴⁰) = $3,548.50 (rounded to the nearest cent)
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Find the value of x. Round to the nearest tenth .
Answer:
23.8
Step-by-step explanation:
In a right-angled triangle, x ² + b ² = c ²
30.5 is c, we can choose b to be 19.1.
x ² + b ² = c ²
x ² = c ² - b ²
= 30.5² - 19.1²
= 565.44
x = √565.44
= 23.8 (to 3 significant figures)
it is due today, please help me. If you just want points get out of my question page...
To completely solve the problem, Karim should convert the product back into standard decimal notation.
We cannot directly apply the product of powers property because the binomial is not raised to a power itself.
Miscellaneous problem(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).
0.0258 × [tex]10^{-8[/tex] = 0.0258 × 0.00000001
= 0.000000000000258
(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.
In the expression [tex](3z + y)^3[/tex], we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.
To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.
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Need the answer for first picture!
The measure of <MNL is (71 - 3x²)/2.
We have,
Far Arc = 59 - 2x²
Near Arc = 12 - x²
Angle = 180- 2x²
Using the Formula
Angle= Average of vertical chords
180 - 2x² = (59 - 2x² + 12 - x²)/2
360 - 4x² = 71 - 3x²
289 = x²
x= 17
So, the measure of <MNL
= (71 - 3x²)/2
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The parabola y = x^2 is scaled vertically by a factor of 1/10
The parabola y = x² scaled vertically by a factor of 1/10 gives y = x²/10
Calculating the image of the vertical scaleFrom the question, we have the following parameters that can be used in our computation:
The parabola y = x² is scaled vertically by a factor of 1/10
The rule of this transformation is
Image = (x, ay)
Where
a = 1/10
So, we have
y = 1/10 * x²
Evaluate
y = x²/10
Hence, the image of the function is y = x²/10
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Prepare accounting equation:
a. Started business with Cash Rs. 250,000.
b. Purchased goods amounting to Rs. 45,000 on credit from Harish .
c. Goods costing to Rs.80,000 was sold for Rs.1,25,000 on credit.
d. Salaries outstanding Rs. 5000
e. Rent paid Rs. 50,000
f. Withdrawn by owner for personal use Rs.25,000.
assets = liabilities + capital
The accounting equation is:
Assets (Rs. 1,75,000 - Rs. 35,000) = Liabilities (Rs. 45,000 + Rs. 5,000) + Capital (Rs. 20,000)
We have,
Based on the given transactions, we can prepare the accounting equation as follows:
a. Started business with Cash Rs. 250,000.
Assets: Cash = Rs. 250,000
b. Purchased goods amounting to Rs. 45,000 on credit from Harish.
Assets: Cash = Rs. 250,000, Inventory = Rs. 45,000
Liabilities: Accounts Payable = Rs. 45,000
c. Goods costing to Rs. 80,000 was sold for Rs. 1,25,000 on credit.
Assets: Cash = Rs. 250,000, Accounts Receivable = Rs. 1,25,000
Inventory: Rs. 45,000 - Rs. 80,000 = Rs. -35,000 (Assuming no additional purchases or returns)
Liabilities: Accounts Payable = Rs. 45,000
Capital: Retained Earnings = Rs. 1,25,000 - Rs. 80,000 = Rs. 45,000
d. Salaries outstanding Rs. 5,000.
Liabilities: Salaries Payable = Rs. 5,000
e. Rent paid Rs. 50,000.
Assets: Cash = Rs. 250,000 - Rs. 50,000 = Rs. 2,00,000
f. Withdrawn by owner for personal use Rs. 25,000.
Assets: Cash = Rs. 2,00,000 - Rs. 25,000 = Rs. 1,75,000
Capital: Retained Earnings = Rs. 45,000 - Rs. 25,000 = Rs. 20,000
Now, let's summarize the accounting equation:
Assets:
Cash = Rs. 1,75,000
Inventory = Rs. -35,000 (negative value indicates loss or returns)
Liabilities:
Accounts Payable = Rs. 45,000
Salaries Payable = Rs. 5,000
Capital:
Retained Earnings = Rs. 20,000
Therefore,
The accounting equation is:
Assets (Rs. 1,75,000 - Rs. 35,000) = Liabilities (Rs. 45,000 + Rs. 5,000) + Capital (Rs. 20,000)
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A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Help please!
Note: Put the correct answer! I don't want to get this wrong!
Thank you <3
Approximately 7 employees took a break longer than 49 minutes.
We have,
In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.
The line within the box represents the median.
The "whiskers" extend to the minimum and maximum values, excluding any outliers.
Given the information provided:
Median = 41
Q1 = 37
Q3 = 49
Largest = 55
Smallest = 35
Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.
Now,
The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:
25% of 27 employees
= (25/100) x 27
= 6.75
Since we cannot have a fractional number of employees, we round up to the nearest whole number.
Therefore,
Approximately 7 employees took a break longer than 49 minutes.
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Vanessa makes 7 identical flower arrangements for the tables at a banquet. Each arrangement contains some roses and 9 tulips. Vanessa uses a total of 147 flowers to make the arrangements. How many roses are in each arrangement?
Drag each number to a box to complete the table. Each number may be used once or not at all.
8,000533,00021,000
Kilometers Meters
1
2,000
5,000
8
Each number should be dragged to a box to complete the table as follows;
Kilometers Meters
1 1,000
2 2,000
3 3,000
5 5,000
8 8,000
What is a conversion factor?In Science and Mathematics, a conversion factor is a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;
Conversion:
1 kilometer = 1,000 meters
2 kilometer = 2,000 meters
3 kilometer = 3,000 meters
4 kilometer = 4,000 meters
5 kilometer = 5,000 meters
6 kilometer = 6,000 meters
7 kilometer = 7,000 meters
8 kilometer = 8,000 meters
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Can someone answer this question
The equations and their graphs are:
Graph 4: I(x)=P(x)−4
Graph 2: I(x)=P(x+4)
Graph 1: I(x)=P(x)+4
Graph 3: I(x)=P(x−4)
Here we have,
to match the equations and their graphs:
The parent function is given as:
P(x) = x^2
As a general rule of function transformation, we have:
Vertical translation up: I(x) = P(x) + k
Vertical translation down: I(x) = P(x) - k
Horizontal translation left: I(x) = P(x + k)
Horizontal translation right : I(x) = P(x - k)
Using the above rules and the assumption that k is 4;
We have:
Vertical translation up: I(x) = P(x) + 4
Vertical translation down: I(x) = P(x) - 4
Horizontal translation left: I(x) = P(x + 4)
Horizontal translation right : I(x) = P(x - 4)
Hence, the graphs of the equations are:
Graph 4: I(x)=P(x)−4
Graph 2: I(x)=P(x+4)
Graph 1: I(x)=P(x)+4
Graph 3: I(x)=P(x−4)
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complete question;
Consider the function P(x)=x2, which is a parabola that opens upward, with a vertex at (0,0).
It undergoes four separate transformations as indicated by the graphs that follow.
P(x) represents the preimage and is placed correctly on all images. I(x) represents the image after the transformation.
Match each transformation indicated by I(x) to the correct graph.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
I(x)=P(x)−4
I(x)=P(x+4)
I(x)=P(x)+4
I(x)=P(x−4)
last year a company made a profit of one and a quarter million dollars each year the company reinvests 1/3 of the profit how much of this profit will they reinvest
The amount of profit that will be reinvested is 5/12 million.
How much profit will be reinvested?Profit is the excess of revenue over cost.
Profit = revenue - total cost
In order to determine the profit that will be reinvested, multiply the fraction that is reinvested by the value of the profit.
Amount that will be reinvested = profit x fraction that is reinvested
1 1/4 x 1/3 =
5/4 x 1/3 = 5/12 million
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please please please please answer
The value of the variable t of the exponential equation [tex]-5\cdot e^{10\cdot t} = - 30[/tex], t = (1 / 10) · ㏑ 6 (EXACT), t = 0.179 (APPROXIMATE).
How to solve an exponential equation
In this problem we need to clear the variable t of an exponential equation with one variable, this can done by means of relationship of exponential and logarithmic functions, logarithm properties and algebra properties.
Now we proceed to present the complete procedure for the solution to the exponential equation:
[tex]-5\cdot e^{10\cdot t} = - 30[/tex]
[tex]e^{10\cdot t} = 6[/tex]
10 · t = ㏑ 6
t = (1 / 10) · ㏑ 6
t = 0.179
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lan is 1.83m tall
Donna is 6cm shorter
What is Donna's height in metres?
Answer:
Step-by-step explanation:
lan is 1.83m tall. Donna is 6cm shorter. What is Donna's height in metres? 1.77m. Bath. √34°. 20m. 11m. 11x14. Work out the range. 3 8 4 8 3 5 9. 9-3=6.
Evaluate a - 13 when a = 33.
(a) 46
(b) 20
(c) -46
(d) -20
Answer:
(b) 20
Step-by-step explanation:
We are trying to solve a-13 = ____ for when a=33.
Substitute 33 for a.
33-13 = 20
the answer is b) 20
A certain loan program offers an interest rate of 4.5%, compounded continuously. Assuming no payments are made, how
much would be owed after six years on a loan of $1300?
Do not round any intermediate computations, and round your answer to the nearest cent.
$
X 5
?
0
00
B
The principal amount of $2,287.26 from compound interest at a rate of 4.5% per year owed after six years on a loan of $1300
Since n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, sothe final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that certain loan program offers an interest rate of 4.5%, compounded continuously.
Assuming no payments are made so;
First, convert R as a percent to R as a decimal
r = R/100
r = 4.5/100
r = 0.045 per year,
Then, solve the equation for P
P = A / (1 + r/n)^nt
P = 1300/ (1 + 0.045 /365)(365)^(15)
P = 1300/ (1 + 0.00010137)^(4745)
P = $2,287.26
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What is the answer to this question.
Find the indicated values.
Arcs
mab
mabc
mbac
macb
The measures of the following arcs are :
m∡AB = 49°
m∡ABC = 253°
m∡BAC = 156°
m∡ACB = 311°
What is the explanation for this?Note that the sum total of the arcs in a circle is 360°
m∡AB = 49° - Given
m∡ABC = 360° 107° = 253°
m∡BAC = 107 + 49 = 156°
m∡ACB = 360 - 49 = 311°
A curve's arc length is significant because it represents the distance between two locations on the curve. The circumference of a circle is equal to its arc length. The arc length of an ellipse equals the ellipse's perimeter.
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The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
A survey of 800 nurses yielded the following information. 555 were health club members, 430 were smokers, and 320 of the health club members were smokers. How many of the 800 surveyed nurses were health club members or were smokers
Step-by-step explanation:
800 in total.
555 health club members.
430 smokers.
320 health club members (that means out of the total of 555) were smokers.
that means that
555 - 320 = 235 health club members were not smokers.
and out of the 430 smokers 320 were also health club members.
that means that
430 - 320 = 110 smokers were not health club members.
the question how many were health club members or smokers means how many people were either health club members or smokers.
so, we need to combine the sets of health club members and smokers.
the number of elements in the resulting set is not just the sum of elements of both sets, because some elements are in both sets and would be counted twice.
therefore, we have a few alternatives :
1. add both sets and then subtract the common part (people being in both sets), as this removes the double counting :
555 + 430 - 320 = 665
2. start with the common part (people that are in both sets) and add the extra people in both sets (health club members that do not smoke, and smokers that are not health club members) :
320 + 235 + 110 = 665
3. start with one of the full sets (e.g. all health club members) and add the extra people of the other set (all smokers that are not also health club members) :
555 + 110 = 665
or all smokers plus all health club members that were not smokers :
430 + 235 = 665
as you can see, as expected, the answer is always the same :
out of the 800 nurses 665 were health club members or smokers.
ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)
A scale has a percent error of 5%. The actual mass of a rock is 30 g.
The scale is likely to show the mass as either;
A: 25 g. or 30 g.
B: 25.5 g. or 30.5 g.
C: 28 g or 31.5 g.
D: 28.5 g. or 31.5 g.
Answer:
ans d
Step-by-step explanation:
5 percent of 30 is 1.5 so d
If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 1/4, what are the odds against a direct hit?
A)3 to 1
B)1 to 3
C)1 to 4
The odds against a direct hit is 3 to 1.
Given that the probability of a hurricane hitting at a coast is 1/4 = 0.25.
Therefore, the probability of not hitting = 1-0.25
= 0.75
we know that,
Odds against direct hit = [P(no direct hit)]/P[(direct hit)] = 0.75/0.25 = 3/1
= 3:1
Hence the odds against a direct hit is 3 to 1.
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The sales tax rate for the state of Washington was 9.2%.
a) What is the state sales tax on a $2,800 used car in Washington?
b) What is the final cost of the car, including tax?
a) The state sales tax on a $2,800 used car in Washington is given as follows: $257.6.
b) The total cost of the car, including tax, is given as follows: $3,057.6.
How to obtain the sales tax and the total cost of the car?The sales tax and the total cost of the car are obtained applying the proportions in the context of the problem.
The sales tax rate is given as follows:
9.2%.
Hence, for a car of $2,800, the sales tax is given as follows:
0.092 x 2800 = $257.6.
The total cost is then obtained adding the base cost to the sales tax, as follows:
2800 + 257.6 = $3,057.6.
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A cube has a depth of 9 dm. What is the volume of the cube?
The volume of the cube is 729 dm³
How to find the volume of the cube?Remember that all the dimensions on a cube are the same ones, then we have:
Length = Width = Depth.
And for any prism, the volume is the product between the 3 dimensions, then for any cube the volume is:
V = Length*Width*Depth.
In this case we know that the depth is 9dm, then also is the length and the width, and thus, the volume of this cube is:
V = 9dm*9dm*9dm = 729 dm³
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Triangle ABC is the preimage of a transformation that consists of a reflection across x -axis followed by a reflection across the y -axis. Which of the triangles is the image of △ABC under this transformation? Select the triangle that corresponds to the image △A′B′C′ .
The image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.
The preimage triangle ABC undergoes a reflection across the x-axis followed by a reflection across the y-axis.
To determine the image triangle △A'B'C', we need to understand the effects of these transformations.
Reflection across the x-axis flips the points of the preimage vertically, while reflection across the y-axis flips the points horizontally.
When both reflections are applied successively, the resulting image will be a reflection across the origin (0,0).
Given that, the image triangle △A'B'C' will be the reflection of triangle ABC across the origin.
In this case, the x-coordinate and y-coordinate of each point in triangle ABC will be negated to obtain the corresponding point in △A'B'C'.
Let's consider the points of triangle ABC:
A(x₁, y₁), B(x₂, y₂), C(x₃, y₃)
To obtain the corresponding points in △A'B'C', we negate the x and y coordinates:
A'(-x₁, -y₁), B'(-x₂, -y₂), C'(-x₃, -y₃)
Therefore, the image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.
Note: It's important to note that without the actual coordinates of triangle ABC, it's not possible to determine the specific shape or size of the image triangle △A'B'C'.
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Suppose a new postoperative procedure is administered to a number of patients in a large hospital. The researcher can ask the question, Do the doctors feel differently about this procedure from the nurses, or do they feel basically the same way? Note that the question is not whether they prefer the procedure but whether there is a difference of opinion between the two groups.
To answer this question, a researcher selects a sample of nurses and doctors and tabulates
the data in table form, as shown. Use a significance level of 5%.
To determine whether there is a difference of opinion between doctors and nurses regarding a new postoperative procedure, the researcher conducted a survey and tabulated the data in a table form. The next step is to analyze the data using statistical methods and a significance level of 5%.
To begin the analysis, the researcher can use a statistical test such as the chi-square test for independence. This test will examine whether there is a significant association between the opinions of doctors and nurses regarding the procedure.
The chi-square test will compare the observed frequencies in each category (e.g., doctors who feel differently, doctors who feel the same, nurses who feel differently, nurses who feel the same) with the frequencies that would be expected if there was no association between the profession and opinion.
If the calculated chi-square value exceeds the critical value at a significance level of 5%, it suggests that there is a significant difference in opinion between the two groups.
The researcher should calculate the chi-square value, degrees of freedom, and compare it to the critical value from the chi-square distribution table.
If the calculated chi-square value exceeds the critical value, the researcher can conclude that there is a significant difference of opinion between doctors and nurses regarding the postoperative procedure.
It is important to note that statistical significance does not imply practical significance. Even if there is a significant difference, the magnitude of the difference should be considered in the context of the study.
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Can someone answer this question?
The graph represents
[tex]{y \to -\infty}[/tex] as [tex]{x \to \infty}[/tex]
[tex]{y \to \infty}[/tex] as [tex]{x \to -\infty}[/tex]
From the given graph we can see that,
The curve represent cubic function
And we know that such cubic function is of the form
f(x) = y = -(ax³ + bx² + cx + d)
Since,
A function can approach two separate limits: one in which the variable approaches its limit by using values more than the limit, and one in which the variable approaches its limit by using values less than the limit.
Case 1:
Take limit of x approaching to infinity,
[tex]\lim_{n \to \infty} f(x) = y = -\infty[/tex]
Hence,
As x approaches to infinity the
y approaches to negative infinity.
Case 2:
Take limit of x approaching to negative of infinity,
Now since degree of function is 3 which is odd
Therefore,
[tex]\lim_{n \to -\infty} f(x) = y = \infty[/tex]
Hence,
As x approaches to negative infinity then
y approaches to infinity.
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Audio Button Question The volume of a cylindrical container is 251 cubic inches. The radius of the container is 4 inches. Find the height of the container. Round your answer to the nearest inch.
The height of the cylindrical container is approximately 5 inches.
What is the height of the cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given that:
Volume V = 251 cubic inches
Radius r = 4 inches
Height h = ?
Plug the given values into the above formula and solve for height.
V = π × r² × h
251 = 3.14 × 4² × h
251 = 3.14 × 16 × h
251 = 50.24 × h
h = 251/50.24
h = 5 inches.
Therefore, the measure of the height is 5 inches.
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Franklin Lyons is married and claims 3 withholding allowances. He gets paid overtime if he works over 40 hours in a week. His gross pay is $958.38. Find the Federal Withholding Tax.
Based on the assumptions, the estimated Federal Withholding Tax for Franklin Lyons would be approximately $191.68.
Determine Franklin's taxable income:
To calculate the taxable income, we need to subtract any deductions or exemptions from his gross pay. We'll consider his gross pay as the taxable income.
Taxable Income = Gross Pay = $958.38
Estimate the Federal Withholding Tax rate:
The Federal Withholding Tax rate depends on the taxable income and the individual's filing status. Let's assume a general tax rate of 20% for this estimation.
Federal Withholding Tax rate = 20%
Calculate the Federal Withholding Tax:
To find the withholding tax, multiply the taxable income by the tax rate:
Federal Withholding Tax = Taxable Income * Federal Withholding Tax rate
= $958.38 * 0.20
= $191.68
Thus, the answer is $191.68.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The value of x is 9.
Given,
Trapezoid with two bases and median.
base 1 = 44
base 2 = 2x + 10
median = 36
Now,
In trapezoid two bases will be parallel to each other.
Median = 1/2(sum of two bases)
From the formula of median the value of x will be,
Median = 1/2( base 1 + base 2 )
Substitute the values,
36 = 1/2( 44 + 2x + 10 )
72 = 54 + 2x
x = 9
Hence both the bases of trapezoid are obtained.
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