Answers
Answer:
-10d⁴ + 17d²s - 6s²
Step-by-step explanation:
Multiply using FOIL
First
-2d² * 5d² = -10d⁴
Outer
-2d² * -6s = 12d²s
Inner
s * 5d² = 5d²s
Last
s * -6s = -6s²
-------------------------
Together
-10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms
-10d⁴ + 17d²s - 6s²
Related Questions
Micha constructs a rectangular prism with a volume of 360 cubic units. the height os the prism is 10 unita. micah claims that the base of the prism must be a square. draw a base that shows micahs claim is incorrect
Answers
To disprove Micah's claim that the base of the prism must be a square, we can draw a rectangular base for the prism with dimensions that satisfy the volume and height requirements.
Micah's claim states that the base of the prism must be a square. However, to show that this claim is incorrect, we need to provide a counterexample by drawing a base that is not a square but still satisfies the given conditions.
Given that the volume of the prism is 360 cubic units and the height is 10 units, we can find the dimensions of the base by dividing the volume by the height: 360/10 = 36.
Now, we can draw a rectangle as the base of the prism with dimensions that multiply to give a product of 36. For example, we can draw a base with dimensions of 4 units by 9 units. This rectangle is not a square since its sides have different lengths.
By constructing a rectangular base with dimensions of 4 units by 9 units, we demonstrate that Micah's claim is incorrect. This shows that the base of the prism does not have to be a square, as there are other valid configurations that satisfy the given volume and height requirements.
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Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
Answers
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
(a) An angle measures 28°. What is the measure of its complement?
(b) An angle measures 132°. What is the measure of its supplement?
Answers
Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .
What do you mean by angle?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
What is complementary and supplementary angle?When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.
\(28^{o}\)
complement = \(90^{o}-28^{o}\) = \(62^{o}\)
\(132^{o}\)
supplement= \(180^{o}-132^{o}\) = \(48^{o}\)
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From the top of a 6m house, the angle of elvation to the top of a flappole is across the street is 9 degrees. the angle of depression is 22 degrees to the base of the flapole. Redraw the diagram below and label all the angles. How tall is the flagpole? Round naswer to one decimal place.
Answers
The height of the flag pole which is described as in the task content is; 8.2m.
What is the height of the flagpole as described from the top of the 6m house?The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;
tan 22° = 6/x
x = 6/tan 22 = 14.9m.
Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;
tan 9° = y/14.9
y = 14.9 tan 9° = 2.2m
Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.
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Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
Answers
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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\( {x}^{3} - 4x + \sqrt{{x}^{3} - 4x + 9 } = 3\)
Help me please
Answers
For this question, you need to isolate all terms under the square root, so you need to move x^3 and -4x to the right. Then you would square both sides, and combine like terms.
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Answers
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
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Can someone help me please
Answers
Answer:
1) B/second one
2) ???
3) C/third one
Step-by-step explanation:
1) Factoring out a number means taking out the number both sets have in common (23) so it becomes (59+21)*23.
2) What's in the sets???
3) Replace x with 8 to get 18-8=10
Your robot is 3 inches wide. Its legs are 1 inch apart.
For each robot, enter the distance between the legs.
Answers
When the robot width is 6 inches, the distance between the legs will be 2 inches.
When the robot width is 5 inches, the distance between the legs will be 1.67 inches.
How to illustrate the information?It should be noted that from the information, the robot is 3 inches wide and its legs are 1 inch apart.
Therefore, when the robot width is 6 inches, the distance between the legs will be:
= 1/3 × 6
= 2 inches.
When the robot width is 5 inches, the distance between the legs will be:
= 1/3 × 5
= 5/3
= 1.67 inches.
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help- Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction:
Answers
Answer:
2340.
Step-by-step explanation:
Using decimal equivalents of the fractions:
Volume of the Shipping box = 3.25 * 3*3,75 = 36.5625 f^3.
Volume of 1 box of fish food = (0.25)^3 = 0.015625
So the answer is 36.5625/ 0.015625
= 2340.
How is the fraction 1 over 2^3 written using a negative exponent?("^" MEANS TO THE POWER OF__.)
a. –2^3
b. –3^2
c. 2^–3
d. 3^–2
Answers
\( \frac{1}{ {2}^{3} } = {2}^{ - 3} \\ \)
Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️
Please help!!!!! I don’t understand how to do this!!!
Composition of two functions:Domain and Range
Answers
The domain of the composite function fog = f(g(x) = {1, 4, 5, 9} and its range is {4, 2}
How to find the domain and range of the composite function?We know that the domain of a function is the valid number of input values to the function whicle its range is the valid number of output values to the function.
Now, we have the functions f(x) and g(x) and we require the composite function fog = f(g(x))
From the figure the domain of g(x) is {4,5,6,7,9} and its range is {1,4,5,6,9}
So, x maps to g(x) as
4 → 6, 5 → 1, 6 → 4, 7 → 9, 9 → 5
From the figure the domain of f(x) is {1,4,5,7,9} and its range is {2,4,7}
So, x maps to f(x) as
1 → 4, 4 → 4, 5 → 2, 7 → 7, 9 → 2
Now, the ouput of g(x) is the input of f(g(x)). So, we have that
g(x) maps to f(g(x)) as
1 → 4, 4 → 4, 5 → 2, 9 → 2
So, the domain of f(g(x) = {1, 4, 5, 9} and its range is {4, 2}
So, the domain of the function f(g(x) = {1, 4, 5, 9} and its range is {4, 2}
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A geologist visits 20 volcanoes in Alaska and California.
What if 60% of the volcanoes were in California? How many volcanoes would the geologist have visited in California and how many in Alaska?
Answers
Answer:
60% of 20 is 12
40% of 20 is 8
12 in California
8 in Alaska
The research team wishes to understand the difference in rates of midwesterners who regularly pay extra for guacamole when offered versus californians. The team will take a random sample of 100 midwesterners and 100 californians to estimate the difference in the rates. What should the researcher do?.
Answers
When we want to estimate a population parameter then we use hypothesis test.
What is hypothesis test?
In hypothesis testing, an analyst examines a statistical sample with the aim of demonstrating the plausibility of the null hypothesis.
By measuring and reviewing a representative sample of the population under study, statistical analysts test a hypothesis. All analysts use a random population sample to test the null hypothesis and the alternative hypothesis.
Main body:
As the researchers want to understand the difference between to states they need to do a hypothesis test.
Hence a hypothesis test is done.
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Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
Answers
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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How were the policies of President Kennedy and President Johnson similar and different?
Answers
The ways that the policies of President Kennedy and President Johnson are similar and different is given below:
Both President were similar as they both were from heavily political and big families. Kennedy and Johnson were known to be similar in a lot of the ways especially in the way that they ran the country.After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs. Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.
What is a difference between John F. Kennedy and Lyndon Johnson?The differences between the both presidents were:
President Kennedy was known to be a better public speaker when compared to President Johnson.President Kennedy has his origin from the North, while that of Johnson was from the South.President Kennedy was used to be seen in affluent crowd, but Johnson was known to be a simple Texan Man.Conclusively, these two president were said to be very were similar, and yet they were different.
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how many significant figures are there in the number 1.032
Answers
There are four significant figures in the number 1.032.
Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:
Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.
Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.
Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.
Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.
By applying these rules, we find that the number 1.032 has four significant figures.
The number 1.032 has four significant figures.
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Select the correct answer. what is this expression in simplified form? v12 . 4v3 options a.7 b.4v15 c.6 d.24
Answers
Answer:
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
When statisticians analyse sample data in order to draw conclusions about the characteristics of a population, this is referred to as?
Answers
The terms that describe the statement are data analysis statistical inference and descriptive statistics
How to determine the term that describes the statement?The statement is given as:
When statisticians analyze data in order to draw conclusions about the characteristics of a population.
From the above statement, we have the following highlights:
The term involves data analysisThe analysis is used to derive conclusionsThe conclusion is about the characteristics of a populationThe term that describes the above highlights is data analysis statistical inference.
The term can also be referred to as descriptive statistics.
Hence, the terms that describe the statement are data analysis statistical inference and descriptive statistics
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4. Answer the following questions. 1) The mathematical statement of the second law of thermodynamics. 2) The mathematical statement of the second law of thermodynamics for a noncyclic process. 3) The
Answers
2) The mathematical statement of the second law of thermodynamics for a noncyclic process involves the concept of entropy change. It can be expressed as: "For a noncyclic process, the entropy change of a system and its surroundings combined is greater than or equal to zero."
3) The third part of your question seems to be incomplete. Could you please provide the complete question or any additional information related to it?
help me please
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
What is the median of this data set and what is the interquartile range of this data set?
Answers
Step-by-step explanation:
the median = 140
the interquartile range = 141-138 = 3
Answer: The other guy is correct. You guys should give him 5 stars and Mark him brainliest.
Ryan opened a savings account with $1700 that pays no interest. He deposits an
additional $190 each week thereafter. How much money would Ryan have in the
account 32 weeks after opening the account?
HELP ME ASAP PLEASE
Answers
$1700 + $190 (32) = $7780
if two events are complementary, they must also be mutually exclusive events. group of answer choices true false
Answers
The statement that is if two events are complementary, they must also be mutually exclusive events is False.
Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.
Mutually excusive events are those events that do not occur at the same time.
Complementary events are those two events which are the only possible events.
Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events
Therefore the statement is false.
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could you help me out
Answers
we must use trigonometric ratios to solve the right triangle
i will use the cosine
\(\begin{gathered} \cos (\alpha)=\frac{A}{H} \\ \end{gathered}\)where alpha is the angle, a the adjacent side and H the hipotenuse,
so replacing
\(\cos (73)=\frac{6}{x}\)now solve for x
\(\begin{gathered} x=\frac{6}{\cos (73)} \\ \\ x=20.52 \end{gathered}\)so the right option is I
Could someone help me to understand this please? It would mean a lot
Answers
Answer:
A: AD
B: 25x15=375
Step-by-step explanation:
A: AD is parallel because the lines are the same.
B: AB = 25mm
BC = 15mm
25x15 = 375mm
The image below is for reference to Question B.
Help please Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1220
1420
1620
1820
2020
2220
24 20
O A. No, because each x-value is different.
B. Yes, because the x-values are positive numbers.
O C. Yes, because every x-value corresponds to exactly one y-value.
O D. No, because none of the y-values are the same.
Answers
3(x–6)–1/2(8x+10)=–25
Answers
The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.
First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:
3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)
Now, let's simplify further by combining like terms:
3x - 18 - 4x - 5 = -x - 23
So, the simplified equation is -x - 23 = -25.
To solve for x, we can isolate the variable by adding 23 to both sides of the equation:
-x - 23 + 23 = -25 + 23
This simplifies to:
-x = -2
Finally, we can solve for x by multiplying both sides of the equation by -1:
(-1)(-x) = (-1)(-2)
This gives us:
x = 2
Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
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What is the slope of the line that passes through the points
(
6
,
−
10
)
(6,−10) and
(
3
,
−
13
)
?
(3,−13)? Write your answer in simplest form.
Answers
Answer:
The slope is 1.
Step-by-step explanation:
Slope is rise over run. From (6,-10) to (3,-13) the line rose 3 (the distance between their two y values). The line also ran 3 (the distance between the x values).
The slope of the line that passes through the points (6,−10) and is 1.
Formula for slopeWhen a line passes through two points, then the slope of that line is calculated by the formula \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) where \((x_{1},y_{1})(x_{2},y_{2})\) are the points on the line.
How to find the slope?Thus we will substitute \((x_{1},y_{1})=(6,-10)\) and \((x_{2},y_{2})=(3,-13)\) in the above formula.
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-13-(-10)}{3-6}\)
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-13+10)}{3-6}\)
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3}{-3}\)
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=1\)
So, the slope of the line that passes through the given points will be 1.
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Roxy is planning to move to Fort Lauderdale, Florida, and work as a nurse. She has one dog and no children. She uses public transportation and plans to rent an apartment when she moves. The new company she’ll work for pays employees bimonthly, which means twice a month. In this activity, you’ll help Roxy make a budget.
Part A
Roxy decides that she wants to set a financial goal of saving for an emergency fund. Write about some of the ways Roxy could make her financial goal a SMART goal.
Answers
Roxy can make her goal SMART by deciding an attainable amount of money, diving the total of money in paymets and using the money for emergencies only.
What is SMART?This is a technique to plan and achieve goals based on 5 characteristics:
S = Specific, which means the goal should not be too general.M = Measurable, which means you can measure your progress.A = Attainable or realistic.R = Relevant, which means achieving the goal has a positive impact.T = Time-based, which means it can be achieved in a specific period of time.How can Roxy make her goal SMART?S= Decide the amount of money for the saving fund, for example, $5000.M = Check month to month the amount of money she has saved.A = Divide the total in payments that fit her expenses.R = Make sure she will used the money only for emergencies.T = Complete the goal after 6 months.Learn more about money in: https://brainly.com/question/14253896
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Please help :( can you explain and write the answer
Answers
Answer:
f(x)=x-2
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}
Range: (−∞,∞),{y|y∈R}
g(x)=x^2-3x+2
Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}
Range: [−1/4,∞),{y∣y≥−1/4}