Answer:
8 degrees
Step-by-step explanation:
The starting temperature is -10
We add 18 degrees.
-10+18= 8
Answer: 8 degrees.
Step-by-step explanation:
The temperature when Dan left the house: -10 degrees.
Temperature when Dan reached Miami: -10 + 18
-10+18 = 8
Hence, the temperature when Dan landed in Miami was 8 degrees.
Find the area of the surface. The part of the plane x+2y+3z=1 that lies inside the cylinder x2 + y2=3.
After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.
To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.
Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:
z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3
Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.
After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.
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Hooke's Law states that the displacement, d, that a spring is stretched by a hanging object varies directly as the mass, m, of the object. If the distance is 12cm when the mass is 4kg, what is the distance when the mass is 5kg.
The distance when the mass is 5kg is 15cm.
What is the distance?When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.
The equation that is used to represent direct variation is:
d = km
Where:
d = distance k = constant of variation m = massThe first step is to determine the value of k:
12 = 4k
k = 12 / 4
k = 3
d = 3 x 5 = 15cm
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I need help pls answer the question...
Answer:
the answer is the first one
Step-by-step explanation:
choose all that are true for graphs. a. a simple graph does not have parallel edges or self-loops. b. in a connected, directed graph, every node is reachable from all other nodes. c. there cannot be any cycle in a tree. d. if a graph g is a forest, then there is no cycle in g.
The following are the statements which are true to the following:
a. simple graph does not have parallel edges or self-loops.
b. in a connected, directed graph, every node is reachable from all other nodes.
c. there cannot be any cycle in a tree.
d. if a graph g is a forest, then there is no cycle in g.
We have the following:
a. a simple graph devoid of self-loops or parallel edges. consequently valid.
A simple graph is one that doesn't contain self-loops or parallel edges.
b. In a directed, connected graph, every node may be reached from every other node. consequently valid.
When all of the directed edges in a directed graph are replaced with undirected edges, the resulting undirected underlying graph is a connected graph, which indicates that the directed graph is weakly connected (or just connected).
c. A tree cannot contain a cycle. consequently valid
The aforementioned claim is accurate. Cycles cannot be contained in a tree since it is a non-linear data structure. Cycles are a possible feature of a graph.
d. If a graph g is a forest, then g does not include a cycle. consequently valid
The acyclic graph of a forest (i.e., a graph without any graph cycles). Therefore, forests are made up only of (potentially unconnected) trees, therefore the name "forest." All trees, empty graphs, and the singleton graph are a few examples of forests.
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Answer:
the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option B.
What is graph?
In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.
Here,
To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.
For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.
For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.
After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.
After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.
The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.
As a result, the right graph is option B, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.
Step-by-step explanation:
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.
Which word describes the slope of the line representing the data in the table?
The word that describes the slope of the line representing the data in the table is C. Negative.
What is a negative slope of a line?Note: The options for this question are as follows:
A. Zero
B. Undefined
C. Negative
D. Positive
A slope of a line is negative when there is an inverse relationship between the two variables used to represent the line, that is, as one variable increases, the other decreases.
From the question, the word that describes the slope of the line representing the data in the table is negative.
The reason is that as the number of cards sold increases progressively from 10 to 50, the remaining amount of money needed decreases from $875 to $555.
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is it possible to have a series of true conditional statements that lead to a false conclusion? explain.
Answer:
Step-by-step explanation:
I think not because if a series of true conditional statements then it won't lead to a false conclusion
Which expression(s) have a value that is greater than 6?
Select all the correct answers.
A. 6×23
B. 6×218
C. 6÷34
D. 6−15
F. 6−120
Answer:
A B F
Step-by-step explanation:
juussssstttttt trrrruuuassttt meeee
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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PLS HELP ASAP I WILL GIVE 50 POINTS AND BRAINIEST IM DESPERATE !!!!
A regular pentagon and a regular hexagon are both inscribed in the circle below, Which shape has a bigger area? explain your reasoning.
The shape that has a bigger area is the regular hexagon.
Which shape has a bigger area?The shape that has a bigger area is the regular hexagon. A hexagon is a polygon with six sides while a pentagon is a polygon with five sides. The area of a polygon measures the surface of the shape.
The polygon with six sides has a greater surface so it is expected that its area will be bigger than that of the pentagon with fewer sides.
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A color printer prints 29 pages in 12 minutes.
How many minutes does it take per page?
Answer:
b b
Step-by-step explanation:v gv g
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
What is multiplicative property of equality?
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.
Property of Equality:
The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.
That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.
Multiplicative Property of Equality:
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.
The formula for this property can be expressed as for the real numbers a, b, and c.
If a × b, then, a × c = b × c.
In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.
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help me please, picture below
-5i-6i
picture given
.........
Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)
Answer:
\(-16\)
Step-by-step explanation:
\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)
please solve for the correct answer. thank you!
Answer: the slope of the line is B), -1/2
2x + 3y = 12
2x - y = 4
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
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Which of the following is NOT considered to be a taboo topic?
O Promotion
O Commission
O Job searches
O Work schedule
Answer:
Work schedule
Step-by-step explanation:
-Promotion can be a choice and can be made taboos or not,it depends on what you want.
-Commission is still the same so it's still a taboo topic.
-Job searches can also be a taboo topic since laws can be made on job searches.
-Work schedules is however not a taboo topic because it doesn't apply to the above.
Hope you get it!
Which value of x makes the expression above equivalent to 14 Square root 7?
Pls helppppppppppppppp
Answer:
B. 4
Step-by-step explanation:
First, let's evaluate the first expression:\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)
We can just remove the √ from both sides to make it easier to see, so49 × 7x = 343x
Now, let's evaluate the second expression:14√7 = √(1372)
To see what value would make the first expression equal to the second expression, we can divide the the second expression by first expression:1372 ÷ 343 = 4 this is the vaule of x.
What's true about a regular polygon?
Answer:
Both the angles and sides are congruent.
Answer:
B
Step-by-step explanation:
I think
What is the optimal value of the function y = - ( x - 5)² - 4?
a) x = 5
b) x = -5
c) y = 4
d) y = -4
Answer:
What is the optimal value of the function y = - ( x - 5)² - 4?(c.y=4)
Step-by-step explanation:
please click the heart and rate excellent and brainleist to
If a 20-foot tree casts a 35-foot shadow, how tall is a tree that casts a 63-foot shadow
Answer:
T=48
Step-by-step explanation:
Now since I don’t know the height at the present moment, I’ll just make this ratio (of the tree) be represented as x/36. Which is saying that for every ‘x’ amount of feet, there will be 36 feet of shadow.
so we have 4/3=x/36. If I cross multiply 36 and 4, then divide the product by 3, then ‘x’ will be 48.
A triangle has 2 angles measuring 40 degrees and 50 degrees. What is the measure of the 3rd angle and classify the triangle.
A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;
\(\begin{gathered} 40+50+A=180 \\ A=180-40-50 \\ A=90 \end{gathered}\)The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."
3(x-2)=X+7
How can I solve this please
3(x-2)=x+7
or, 3x-6=x+7
or, 3x-x=7+6
or, 2x=13
or, x=13/2
or, x= 6.5
Therefore, x=6.5
Hope it helps! :)
evaluate the expression when m=3 and n=8. 40/n-m=
Answer:
2
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
If n = 8 and m = 3, 8 - 3 = 5.
40 ÷ 5 = 8
Hope this helps
solve for b
-11=-47-12b
Answer:
-3 = b
Step-by-step explanation:
-11 = -47 - 12b
~Add 47 to both sides
36 = -12b
~Divide -3 to both sides
-3 = b
Best of Luck!
squared? 16. Boyd says the expression below cannot be simplified. Do you agree? Justify your response. K2 + 6k + 2m + 3n2 + 4 M
we have
\(k^2+6k+2m+3n^2+4\)Simplify
Group terms
\(\begin{gathered} (k^2+6k)+(2m+4)+3n^2 \\ k(k+6)+2(m+2)+3n^2 \end{gathered}\)therefore
The expression can be simplifiedDetermine if the following equation is linear. If the equation is linear, convert i to standard form: ax+by=c
Given the equation:
\((10+y)^2-y^2=-3x+11\)Then, expanding and operating this equation leads to:
\(\begin{gathered} 10^2+2\cdot10\cdot y+y^2-y^2=-3x+11 \\ 100+20y=-3x+11 \end{gathered}\)There are no quadratic terms, so the equation is linear. Now, converting it to standard form:
\(20y+3x=-89\)Which of the following statements is NOT true?
O The Bayesian approach to calling variants can be run in "real time" meaning you can add data as it arrives rather than waiting for all the data before beginning analysis
O In resequencing, the majority of differences observed between your data (the reads) and the genome are artifacts.
O More coverage provides a higher confidence on called variants.
O The priors used in the Bayesian approach to variant calling do not influence which genotype you infer from your data.
The statement that is NOT true is: "The priors used in the Bayesian approach to variant calling do not influence which genotype you infer from your data."
Bayesian approach is a statistical method that uses prior probabilities to update the probability of an event based on new data. In variant calling, the prior probabilities are used to estimate the likelihood of observing a variant at a certain position in the genome. The priors are chosen based on the prior knowledge of the biology of the organism and the specific variant being called. The priors used in the Bayesian approach will influence which genotype is inferred from the data, as the prior probabilities can bias the variant calling towards certain genotypes.
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PLS HELP! If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
Answer:
AB and DE are parallel because they have the same slope.
Step-by-step explanation:
Slope of the line AB :
\(=\frac{\text{rise} }{\text{run} } =\frac{CA}{-BC} =\frac{12}{-8} =-\frac{3}{2}\)
Slope of the line DE :
\(=\frac{\text{rise} }{\text{run} } =\frac{CE}{-DC} =\frac{9}{-6} =-\frac{3}{2}\)