Answers
Answer:
A. 2/5
Step-by-step explanation:
to find the slope (m) use the slope formula
m= y2-y1 / x2-x1
*plug in your points*
m= 4-2 / 3- -2 note here the 3- -2 changes to 3+2
solve for m
m= 2/ 5
slope= 2/5
Related Questions
how can i simpfly this expression?
-2.2f+0.8f-11-8=?
Answers
The expression -2.2f + 0.8f - 11 - 8 when simplified is -1.4f - 19
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
-2.2f+0.8f-11-8=
Express properly
So, we have
-2.2f + 0.8f - 11 - 8
When the like terms are collected, we have
-2.2f + 0.8f - 11 - 8 = -2.2f + 0.8f - 11 - 8
When the like terms are evaluated, we have
-2.2f + 0.8f - 11 - 8 = -1.4f - 19
Hence, the expression when simplified is -1.4f - 19
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How can i solve this using a flow chart?
Answers
Answer:
AED=63°
SEE IMAGE FOR SOLUTION
Answer:
AED=63°
Step-by-step explanation:
if f(x,y)=xy, find the gradient vector del f(3,2) and use it to find the tangent line to the level curve f(x,y)=6 at the point (3,2). sketch the level curve, the tangent line, and the gradient vector.
Answers
The gradient vector ∇f(3,2) is (2,3). To find the tangent line to the level curve f(x,y)=6 at the point (3,2), we use the gradient vector. The tangent line at a given point on a level curve is perpendicular to the gradient vector at that point.
The level curve f(x,y)=6 represents all the points (x,y) in the xy-plane where the function f(x,y) takes the value 6. To sketch the level curve, we plot the points that satisfy f(x,y)=6. In this case, the level curve is a hyperbola with equation xy=6.
To find the tangent line at the point (3,2), we use the gradient vector ∇f(3,2) = (2,3). The slope of the tangent line is given by the ratio of the components of the gradient vector, which is 3/2. Using the point-slope form of a line, the equation of the tangent line is y - 2 = (3/2)(x - 3).
To sketch the level curve, the tangent line, and the gradient vector, we plot the hyperbola xy=6, draw the tangent line through the point (3,2) with slope 3/2, and indicate the gradient vector (2,3) at the point (3,2).
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please help I need this asap
Answers
a os is correct.....,,..................
Assuming that joe and matthew make their decisions independently, what is the probability that they will purchase no books on this visit to the bookstore?.
Answers
The likelihood that they won't buy any books during this trip to the bookstore is O.1250 or 12.5%.
How does probability work?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
The suitable response is:
Let P(J) = John is unlikely to buy any books.
Let P(B) = Beth is unlikely to buy any books.
P( J n B ) will be;
There is a 0% chance that John and Beth will each buy 0 books, making a total of 0 books bought.
Since, the decisions to buy books are two independent actions,
P(J n B) = P(J) * P(B)
P(J) = 0.5
P(B) = 0.25
P(J n B) = 0.5 * 0.25
P(J n B) = 0.125 or 12.5%
Therefore, there is 12.5% chance that they will purchase no books on this visit to the bookstore.
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A company has to decide whether to invest money in the development of a microbiological product. The company's research director has that there is a 60% chance that a successful development could be achieved in 2 years. However, if the product had not been successfully developed at the end of this period, the company would abandon the project, which would lead to a loss in present-value terms of $ 3 million. (Present value is designed to take the company's time preference for money into account. The concept is explained in Chapter 8) In the event of a successful development, a decision would have to be made on the scale of production. The returns generated would depend on the level of sales which could be achieved over the period of the product's life. For simplicity, these have been catorized as either high or low. If the company opted for large-volume production and high sales were achieved, then net returns with a present-value of $6 million would be obtained. However, large-scale production followed by low sales would lead to net returns with a present value of only $1 million.In contrast, if the company decided to invest only small-scale production facilities then high sales would generate net returns with a present value if facilities then high sales would generate net returns with a present value of $4 million and low sales would generate net returns with a present value of $2 million. The company's marketing manager estimates that there is a 75% chance that high sales could be achieved.(a) Construct a decision tree to represent the company's decision problem. (b) Assuming that the companys objective is to maximize its expected returns, determine the policy that it should adopt. (c) There is some debate in the company about the probability that was estimated by the research diretor. Assuming that allo other elements if the problem remain the same, determine how low this probility would have ti be before the option of not developing the product should be chosen. (d) before the final decision us nade the company us taken iver by a bew owner, who has the utilities shown below for the sums of money involved in the decision. (The owner has no ointerest in other attributes which may be associated with the decision, such as developing a prestige product or maintaining employment.) What implications does this have for the policy that you iidentified in (b) and why?Present value of net returns New owner's utility-$3m, $0m, $1m, $2m, $4m, $6m 0, 0.6, 0.75, 0.85, 0.95, 1.0
Answers
The optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.
The initial node represents the decision whether to invest in the development of the microbiological product.
The two possible outcomes are a successful development or failure after 2 years.
(b) To determine the policy that the company should adopt to maximize its expected returns, we need to calculate the expected value at each decision node.
Starting from the end nodes and working backwards, we have:
For large-scale production with high sales:
Expected value = 0.75 x $6m + 0.25 x $1m = $4.25m
For large-scale production with low sales:
Expected value = 0.75 x $1m + 0.25 x $6m = $1.75m
For small-scale production with high sales:
Expected value = 0.75 x $4m + 0.25 x $2m = $3.5m
For small-scale production with low sales:
Expected value = 0.75 x $2m + 0.25 x $4m = $1.75m
At the 2-year node, the expected value for a successful development is:
For large-scale production:
Expected value = 0.75 x $4.25m + 0.25 x $1.75m = $3.5m
For small-scale production:
Expected value = 0.75 x $3.5m + 0.25 x $1.75m = $2.81m
Finally, at the initial node, the expected value for investing in the development is:
Expected value = 0.6 x $3.5m + 0.4 x (-$3m) = $0.1m
Therefore, the policy that the company should adopt to maximize its expected returns is to invest in the development of the microbiological product, choose large-scale production if the development is successful, and choose small-scale production otherwise.
(c) If the probability of a successful development is lower than a certain threshold, the option of not developing the product should be chosen. Let p be this threshold probability. Then the expected value at the initial node is:
Expected value = p x $0m + (1-p) x (-$3m) = -$3m + $3mp
Setting this equal to zero and solving for p, we get:
p = 1
Therefore, if the probability of a successful development is lower than 100%, the company should not invest in the development of the microbiological product.
(d) The new owner's utilities represent their preferences for the sums of money involved in the decision.
The utilities are increasing and concave, indicating diminishing marginal utility of money.
This means that the new owner is risk-averse.
The policy identified in (b) may not be optimal for the new owner because their utilities are different from the present-value net returns.
To determine the optimal policy for the new owner, we need to use the new owner's utility values to calculate the expected utility of each decision branch in the decision tree.
If the company invests in large-scale production and high sales are achieved, the expected utility is 0.75 * 0.95 * 1.0 * $6m = $4.285m.
If the company invests in large-scale production and low sales are achieved, the expected utility is 0.75 * 0.95 * (1 - 0.0) * $1m = $712,500.
If the company invests in small-scale production and high sales are achieved, the expected utility is 0.75 * 0.05 * 1.0 * $4m = $150,000.
If the company invests in small-scale production and low sales are achieved, the expected utility is 0.75 * 0.05 * (1 - 0.0) * $2m = $75,000.
If the company decides not to invest in the product, the expected utility is 0.25 * (1 - 0.6) * $0m + 0.25 * 0.6 * (1 - 0.0) * -$3m = -$450,000.
Therefore, the optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.
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Select the TWO numbers that have a 4 in the thousandths place. *
Answers
Answer:
54,436.004 and 247,892.984
Step-by-step explanation:
Answer:
third and fourth
Step-by-step explanation:
g(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)
Answers
The expression is simplified to x
How to simplify the expressiong(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)
First, we simplify the numerator
= \(\frac{x (x^2 - 3^2)}{x^2 - 6x + 9}\)
Now, let's solve the quadratic equation in the denominator
= \(\frac{x(x^2 - 3^2)}{x^2 - 3x - 3x + 9}\)
= \(\frac{x(x^2 - 3^2)}{x(x-3) - 3(x - 3)}\)
= \(\frac{x(x - 3) (x -3)}{(x -3) ( x-3)}\)
Divide the like factors
= x
The answer is x
Thus, the expression is simplified to x
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if h hours and 20 minutes is equal to 380 minutes. What is h?
Answers
Answer:
3 hours
Step-by-step explanation:
Answer:
h = 6
Step-by-step explanation:
60*6 = 360
360+20 = 380 BD
Simplify the following :
1. 4(x-y) + 3(x-y)
2. 8(p-q) + 3(p-q)
3. 8(x+y) - 4(x-y)
4. 7(x+y) - 4(x-y)
5. 6(p+q) - 4(p-q)
6. 5(x-y) - 4(x-y)
7. 8(p-q) - 3(p-q)
8. ax+3bx+ay+3by
9. 2ax-6ay+bx-3by
10. mp-4np+mq-4nq
11. 3xr+3xs-yr-ys
Factories the following:
1. -8pq+24pr+32ps
2. -10ra+25rd+35rc
3. -5ra-10rd+15rc
4. 81ab+27ac+3bad
5. -5lx+15ly+25lz
6. -9ab+36ac+45ad
Answers
Answer: Simplified:
1. =7x−7y
2. =11p−11q
3. =4x+12y
4. =3x+11y
5. =2p+10q
6.=x−y
7.=5p−5q
Factors:
1. 8p(−q+3r+4s)
2. 5r(−2a+7c+5d)
3. 5r(−a+3c−2d)
4. 3a(bd+27b+9c)
5. 5l(−x+3y+5z)
6. 9a(−b+4c+5d)
BRAINLIEST PLEASE? <3 hope this helps:)
Step-by-step explanation:
Use the Laplace transform table to determine the Laplace transform of the function f(t)=sinh(4t)+8cosh(2t) F(s)=1
Answers
The Laplace transform of the function f(t) = sinh(4t) + 8cosh(2t) is given by F(s) = 1/(s^2 - 16) + 8s/(s^2 - 4).
Using the Laplace transform table, we can find the transforms of the individual terms in the function f(t). The Laplace transform of sinh(at) is a/(s^2 - a^2), and the Laplace transform of cosh(at) is s/(s^2 - a^2).
In this case, we have sinh(4t) and cosh(2t) terms in the function f(t). Applying the Laplace transform, we get:
L[sinh(4t)] = 4/(s^2 - 16)
L[cosh(2t)] = s/(s^2 - 4)
Since f(t) = sinh(4t) + 8cosh(2t), we can combine the Laplace transforms of the individual terms, multiplied by their respective coefficients:
F(s) = 4/(s^2 - 16) + 8s/(s^2 - 4)
Simplifying further, we have:
F(s) = 1/(s^2 - 16) + 8s/(s^2 - 4)
Therefore, the Laplace transform of the function f(t) = sinh(4t) + 8cosh(2t) is F(s) = 1/(s^2 - 16) + 8s/(s^2 - 4).
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Which of these expressions is equal to 3−8i?
Answers
Answer:
the second option
Step-by-step explanation:
(5 + i) - (2 + 9i) = 3 — 8i
the ratio of peter's age to richard's age is $5:8.$ the ratio of john's age to peter's age is $7:12.$ none of the three are over $100$ years old. what is the sum of their ages?
Answers
The sum of Peter, Richard, and John's ages is 191.
We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)
The ratio of John's age to Peter's age is = 7/12 --(ii)
Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)
Using the value of (i),(ii),(iii), we get -
Age of Peter = (5*12)/(8*12) = 60/96
= 60 years of age
Age of John = (7*5)/(12*5) = 35/60
=35 years of age
From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age
Hence the sum of their ages is = 96+35+60
= 191
Therefore, we know that the sum of their ages is 191.
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50 divided by a number y
Answers
Sam is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Thirty patients received the cough medication, and 70 other
patients did not receive treatment. Seventeen of the patients who received the medication reported no cough at the end of the study. Twenty-eight of the patients who did
not receive medication reported no cough at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that
they reported no cough?
Answers
Answer:
The answer is C: 38%
Step-by-step explanation:
i got it right on the test :)
The probability that a patient chosen at random from this study took the medication, given that they reported no cough should be 38%.
Calculation of the probability:Took medication Didn't take medication Total
No cough 17 28 45
Cough 13 42 55
Total 30 70 100
Now the probability be
= 17/45
= 37.777
= 38%
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Whoever answers this question gets brainly
The instructions on a bottle of cough medicine state
that the dose for an adult is 20 milliliters. Tom’s
measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 ts
Answers
Answer:
40
Step-by-step explanation:
Answer:
4.05768272
Step-by-step explanation:
4. Find the value of x. Please show your All your work!
120°
172°
X
X =
95
125
I
120°
work:
Answers
my bad hear
x + 172 + 120 + 95 + 120 + 125 = 720
x + 632 = 720
x = 720 - 632
x = 88
2 A bag contains & blacks balls and 5 yellow balls, 2 balls are taken at random one after the other without replacement find-the probability that they are both black they fare both yellow & the first as yellow - and the second is black one is yellow the other is black they are of the same colour
Answers
The probability values are calculated and listed below
Finding the probabilitiesThey are both black
Here, we have
Black = 3
Yellow = 5
Sice the balls are not replaced, we have
P(Both black) = 3/8 * 2/7
P(Both black) = 3/28
They are both yellow
Sice the balls are not replaced, we have
P(Both Yellow) = 5/8 * 4/7
P(Both Yellow) = 5/14
The first is yellow and the second is black
Sice the balls are not replaced, we have
P(Yellow and black) = 5/8 * 2/7
P(Both Yellow) = 5/28
One is yellow the other is black
Sice the balls are not replaced, we have
P(One Yellow and One black) = 5/8 * 2/7 * 2
P(One Yellow and One black) = 5/14
They are of the same colour
Here, we have
P(Same) = 3/28 + 5/14
P(Same) = 13/28
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Which would not be a step in solving
5x + 15 + 2x = 24 + 4x?
A. Collect variable terms on one side.
B. Isolate the variable.
C. Collect like terms.
D. Use the distributive property.
ANSWER: D (Use the distributive property)
Answers
Answer:
Step-by-step explanation:
D because there in to parenthesis so you're correct.
find the derivative:f(x)= -3/ x^4
Answers
Given the function f(x), we can write it like this:
\(\begin{gathered} f(x)=-\frac{3}{x^4} \\ \Rightarrow f(x)=-3x^{-4} \end{gathered}\)Using the formula for polynomial derivatives, we get:
\(\begin{gathered} f(x)=-3x^{-4} \\ \Rightarrow f^{\prime}(x)=-3\cdot(-4)x^{-4-1}=12x^{-5} \\ f(x)=\frac{12}{x^5} \end{gathered}\)Therefore, the derivative f'(x) is 12/x^5
The base area of a prism is 5 cm2. Find the height of the prism if its
volume is 24 cm. -
Answers
Answer:
4.8 cm
Step-by-step explanation:
What we know: V= 24 cm3 and b= 5 cm2
Formula: V= bh
24cm3= (5cm2)h
4.8 cm= h
The base area of a prism is 5 cm2. Find the height of the prism if its
volume is 24 cm. -
describe how you can use fraction models to solve 4 2/6 + 1 1/3
Answers
Answer:
By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.
Step-by-step explanation:
1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.
Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!
Solve the system of equations
y = 152 + 9
y= 22 – 20
Answers
Answer:
No solution
Step-by-step explanation:
Substitution method:
(Since y values are defined, make them equal to each other)
y = 152 + 9
y= 22 – 20
152 + 9 = 22 -20
161 ≠ 2
A false statement
find slope of the line given (0,-2) and (-2, -8)
Answers
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)
\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)
Find the volume of a pyramid with a square base, where the area of the base is 7.5\text{ ft}^27.5 ft
2
and the height of the pyramid is 4.6\text{ ft}4.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
17.9 m^3
Step-by-step explanation:
ILL GIVE BRAINLIST
In the function f(x) = 225 – 31.4558 In(x), x represents
the length of time in years required for a mortgage to be
paid off depending on the desired monthly payment.
PLS HELP
Answers
Answer: If you plug in 1 as x the answer is 225 years. The rest give different values when plugged in. Ex 225 gives us 55 years and 31.45 gives us 116 years. Hope this is correct and helps.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge 2021
On a team,8 girls and 5 boys devoted a total of 87 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 57. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and boy
Answers
Answer:
Girls: 7 points each
Boys: 11 points each
Step-by-step explanation:
how many different ways are there to get 8 heads in 16 throws of a true coin?
Answers
To get 8 heads in 16 throws of a fair coin there are 12870n different ways and we get by combination
We have 16 throws, and we want to select 8 of those throws to be heads (assuming a fair coin).
The remaining 16 - 8 = 8 throws will be tails.
The number of ways to choose 8 heads out of 16 throws can be calculated using the binomial coefficient formula:
C(n, k) = n! / (k!(n - k)!)
where C(n, k) represents the number of combinations of n items taken k at a time, and n! denotes the factorial of n.
Applying this formula to our situation, we have:
C(16, 8) = 16! / (8!(16 - 8)!)
Calculating the factorial values:
16! = 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 20922789888000
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
(16 - 8)! = 8! = 40320
Substituting these values into the formula:
C(16, 8) = 20922789888000 / (40320 × 40320) = 12870
Therefore, there are 12,870 different ways to get 8 heads in 16 throws of a fair coin.
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CAN SOMEONE PLS HELP IM SUPERRR STUCK
Answers
A. 18
B. 9*9*9
C. 6*6*6*6*6*6*6
D. 7*7*7*7*7*7
Explanation:
Exponents represent how many times the number is multiplied by itself.
A. 18
Any number to the power of 1 is just itself in expanded form.
B. 9^3
Because the exponent is 3, it represents 9 being multiplied by itself 3 times. Therefore, the expanded form would be 9*9*9.
C. 6^7
Same with question B, 6 is being multiplied by itself 7 times, making this 6*6*6*6*6*6*6.
D. 7^6
Same with questions B and C, 7 is being multiplied by itself 6 times, making this 7*7*7*7*7*7.
I hope this helps! Please comment if you have any questions :)
solve the following equation for x. Round any decimal to the nearest hundredth place ln 4^(x+3)= ln3^-3
Answers
Using the properties of logarithms we have that:
\(\begin{gathered} 4^{x+3}=3^{-x} \\ \log _2(4^{x+3})=\log _2(3^{-x}) \\ 2(x+3)=-x\log _2(3) \\ 2x+6=-x\log _2(3) \\ 2x+x\log _2(3)=-6 \\ x(2+\log _2(3))=-6 \\ x=-\frac{6}{2+\log _2(3)} \end{gathered}\)x has a value of -6/(2+log₂(3))