Answer:
0.50 x 4.50 = 69.42.00 and 22 = 47.420.00
Step-by-step explanation:
47.420.00
a rectangle has a length of 8 inches and a width of 4 inches whose sides are changing. the length is decreasing by 7 in/sec and the width is shrinking at 10 in/sec. what is the rate of change of the area?
The length is decreasing by 7 in/sec and the width is shrinking at 10 in/sec , so the total area will decreased by -98 in/sec
What is area ?The area is the total measurement of all the space enclosed by a closed geometric figure.
Using the area of rectangle to find the formula for the area and the perimeter shows us..
A = L*W
P = 2L + 2W
dA/dt = L * dW/dt. + dL/dt * W
dP/dt = 2 * ( dL/dt + dW/dt )
We are given the following information...
L = 8 inches
W = 4 inches
dL/dt = -7 in/sec ( decreasing so the sign is negative )
dW/dt = -10 in/sec ( decreasing so the sign is negative )
dA/dt = L * dW/dt. + dL/dt * W
= 8 * -10 + -7 * 4
= -98 in/sec
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The population of Rivermouth in 2000 was 2345. If the population in 2010 was 5159, what was the percent of change in the population of Rivermouth?
Answer:
22%
Step-by-step explanation:
change/years since 2000
2.2/10
multiply by 100
22
Answer:
22%
Step-by-step explanation:
Tucker ran 3/4 of a mile, took a break, ran 3/8 of a mile, and then took a second break. After the second break, Tucker ran some more. If he ran a combined total of 2 miles, how far did Tucker run after his second break?
Answer:
7/8 of a mile
Step-by-step explanation:
hope this helps
Find the lines of symmetry for each shape. Select all that apply
Answer:
the answer is None. There is no line of symmetry as the figure cannot fold and be equal on both sides
For a shape to have a line of symmetry, there must be a line that divides the shape into 2 halves that are the exact identical.
This shape doesn't have any line of symmetry (all the lines shown would be a line of symmetry if there is a transformation done to one of the halves)
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
pleasee reply me ...
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Answer:
plz mark me as a brainelist
hope it helps you
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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WILL GIVE BRAINLIEST TO ANSWER
Answer:
A , D , E
Step-by-step explanation:
Substitute x = 2 into f(x) and check if the result is 4
(a)
f(2) = 2² = 4 ← then f(2) = 4
(b)
f(2) = 2 + 6 = 8 ≠ 4
(c)
f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4
(d)
f(2) = 2² = 4 ← then f(2) = 4
(e)
f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
Is the point (20 13) on this line? Explain your reasoning.
In order to determine if the point (20,13) is on the line, it is necessary to write the equation of the line.
The general form of a linear equation is:
y = mx + b
where b is the y-intercept and m is the slope. Y-intercept is the value of y when x = 0. You can observe in the graph that b = 3.
The slope m is conputed by using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1,y1) and (x2,y2) are two points of the line. Use the points (0,3) and (6,6), you can select any other two points. Replace these values into the formula for m:
\(m=\frac{6-3}{6-0}=\frac{3}{6}=\frac{1}{2}\)Then, the equation of the line is:
\(y=\frac{1}{2}x+3\)Now, replace the value of x = 20 in the previous equation, if y = 13, then the point (20,13) in on the line:
\(\begin{gathered} y=\frac{1}{2}(20)+3 \\ y=10+3 \\ y=13 \end{gathered}\)Hence, the point (20,13) is on the line
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
The time it takes to will a water tank varies inversely with the water rate of the hose. At 8 gallons per minutes, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?
Answer:
24 minutes
Step-by-step explanation:
Varies inversely
tr = k
At 8 gallons per minutes, a hose can fill the tank in 45 minutes
k = 45 * 8 = 360
How long will it take to fill the same tank at 15 gallons per minute?
t * 15 = 360
Divide both sides by 15
t = 24
Answer:
24 minutes
Step-by-step explanation:
equals 20+20=40 Expression value is
Answer:
expression is 20. +20...
find the ehgiht and radius of the largest right circular cylinder that can be put into a sphere of radius sqrt3
The height is 2 and radius is √2 of the largest right circular cylinder that can be put into a sphere of radius √3.
What is circular cylinder?A cylinder whose bases are circular in shape and parallel to each other is called the right circular cylinder. It is a three-dimensional shape.
Given that the radius of a sphere R = √3
Let the radius of the cylinder is r and the height of the cylinder is h.
than.
r² = R² − h²/4
and Vc = πr²h
⇒ Vc = π(R² − h²/4)h
⇒ Vc = πR²h − πh³/4
dVc/dh = πR² − 3πh²/4
(dVc/dh)R=√3 = 3π − 3πh²/4
For maximum or minimum volume,
dVc/dh = 0
⇒ 3π − 3πh²/4 = 0
⇒ 3πh²/4 = 3π
⇒ 3πh² = 3π*4
⇒ h² = 4
⇒ h=2
Also, dVc/dh changes sign from positive to negative in the neighborhood of h=2. Hence, h=2 is a maximum point.
r² = R² − h²/4
⇒ r² = (√3)² - 2²/4
⇒ r² = 3 - 1
⇒ r² = 2
⇒ r = √2
So, the height is 2 and radius is √2 of the largest right circular cylinder
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Plz helppppppppppppppppppppppppppppppppppppppppp
Answer:
??????????
Step-by-step explanation:
Kelly is painting her bedroom wall.she paints 1/3 of the wall in 3/5 of an hour. What is her rate per hour
Answer:
The answer is 5/9
Step-by-step explanation:
It is 5/9 because you have to do cross multiplication, 3 times 3 is 9 which will be the dominator and 5 times 1 which is 5 and the numerator. Hope this helped please mark brainliest.
suppose that 0.4% of a given population has a particular disease. a diagnostic test returns positive with probability .99 for someone who has the disease and returns negative with probability 0.97 for someone who does not have the disease. (a) (10 points) if a person is chosen at random, the test is administered, and the person tests positive, what is the probability that this person has the disease? simplify your answe
The probability that a person has a disease given that they test positive, when 0.4% of the population has the disease and the test is positive with probability 0.99 if they have the disease and 0.03 if they don't have it, is 0.116 or about 11.6%.
Let D be the event that the person has the disease and T be the event that the person tests positive. We need to calculate P(D|T), the probability that the person has the disease given that they test positive.
Using Bayes' theorem, we have
P(D|T) = P(T|D) * P(D) / P(T)
where P(T|D) is the probability of testing positive given that the person has the disease, P(D) is the prior probability of having the disease, and P(T) is the total probability of testing positive, which can be calculated as
P(T) = P(T|D) * P(D) + P(T|D') * P(D')
where P(T|D') is the probability of testing positive given that the person does not have the disease, and P(D') is the complement of P(D), which is the probability of not having the disease.
Substituting the given values, we get
P(D|T) = (0.99 * 0.004) / [(0.99 * 0.004) + (0.03 * 0.996)]
= 0.116
Therefore, the probability that the person has the disease given that they test positive is 0.116 or about 11.6%.
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Which of the situations could be represented with the equation below?
f(x) = 750 (1 + 0.05/4)^4x
You deposit $750 in a savings account that earns 1.05% annual interest compounded yearly.
You deposit $750 in a savings account that earns 5% annual interest compounded quarterly.
You deposit $750 in a savings account with a fixed interest rate of 5%.
You deposit $750 in a saving account compounded semi-annually.
PLEASE HELPPPPP!!!!
Answer:
You deposit $750 in a savings account that earns 5% annual interest compounded quarterly.
Step-by-step explanation:
The '4' in f(x) = 750 (1 + 0.05/4)^4x
indicates compounding 4 times per year, at 5% annual interest
This is "compounded quarterly."
The second answer choice is the correct one:
"You deposit $750 in a savings account that earns 5% annual interest compounded quarterly."
How do you simplify and verify trig identities?
In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.
The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.
After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.
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You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. Which inequalities represent how much weight you can add to your bag?
w > 50 - 38
50 > W - 38
38 + w< 50
w< 50 - 38
Can you add both a 9-pound laptop and a 5-pound pair of boots to your bag without going over the weight limit?
Yes, the total being added is 4 pounds, which is a solution of the inequality.
No, the total being added is 14 pounds, which is not a solution to the inequality.
Yes, the added weight needs to be less than 38 pounds, and 9 plus 5 is less than 38.
No, the added weight needs to be at least 38 pounds, and 9 plus 5 is less than 38.
Answer:
A. The inequalities are:
\(w + 38 \leq 50\)
\(38 + w \leq 50\)
\(w \leq 50 - 38\)
B. No, the total being added is 14 pounds, which is not a solution to the inequality.
Step-by-step explanation:
Given
\(Maximum = 50\)
\(Bag = 38\)
Solving (a): Expression that represent the possible additional weight
Represent the additional weight with w
When w is added to the weight of the bag it must not be more than 50;
Not more than means less than or equal to
This is represented by
\(w + 38 \leq 50\) or \(38 + w \leq 50\)
Make w the subject
\(w \leq 50 - 38\)
Solving (b): If 9lb and 5lb is added to the bag, will it go overweight?
First, we need to solve the inequality in (a)
\(w \leq 50 - 38\)
\(w \leq 12\)
This means that additional weights must not exceed 12 pounds
Adding 9lb and 5lb, we have:
\(9 + 5 = 14\)
14 pounds is more than 12 pounds.
Hence: option B answers the question
consider the two finite-length sequences g[n] = f2;1; 3g, 0 n 2, and h[n] = f2; 4; 2;1g, 0 n 3.
The answer is: a) yL[n] = 4 - 10 11 5 - 3, b) yC[n] = 4 - 10 11 5, c) use DFT, d) y[n] ≠ yL[n].
a) To finish up the straight convolution yL[n], we convolve the two given groupings including the recipe for direct convolution: yL[n] = sum(g[k]h[n-k]), where the hard and fast is assumed control of all normal likely gains of k. Along these lines, yL[n] = 4 - 10 11 5 - 3, for 0 <= n <= 5.
b) To relax g[n] to a length-4 social event ge[n], we add two zeros to the farthest uttermost ranges of g[n]. We then, process yC[n] including the recipe for circuitous convolution: yC[n] = sum(ge[k]h[(n-k) mod 4]), where the outright is assumed control of all conceivable likely gains of k. Therefore, yC[n] = 4 - 10 11 5 - 3, for 0 <= n <= 3.
c) To finish up yC[n] utilizing the DFT-based approach, we at first register the DFT of g[n] and h[n] utilizing the recipe: G[k] = sum(g[n]exp(- j2pikn/N)) and H[k] = sum(h[n]exp(- j2pikn/N)), where the all out is assumed control of all expected increases of n from 0 to N-1, and N is the length of the groupings. We then, at that point, register the DFT of yC[n] utilizing the recipe: Y[k] = G[k]H[k]. At long last, we secure yC[n] by taking the inverse DFT of Y[k] utilizing the recipe: yC[n] = (1/N)sum(Y[k]exp(j2pikn/N)).
d) To relax g[n] and h[n] to length-6 groupings, we add two zeros to the farthest uttermost compasses of each and every blueprint. We then, process the 6-point circuitous convolution y[n] of the truly lengthy groupings utilizing the condition: y[n] = sum(g[k]h[(n-k) mod 6]), where the total is assumed control of all conceivable likely gains of k. Clearly y[n] isn't equivalent to yL[n], since the backhanded convolution isn't unclear from the prompt convolution when the movements are associated by zero-cushioning.
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The complete question is:
Consider the two finite-length sequences g[n]={2 -1 3}, 0 <= n <= 2 and h[n]={-2 4 2 -1}, 0 <=n <= 3
a) Determine Linear convolution yL[n]
b) Extend g[n] to a length_4 sequence ge[n] by zero-padding and compute yC[n]= ge[n]Image for Q: Consider the two finite-length sequences g[n]={2 -1 3}, 0 < = n < = 2 and h[n]={-2 4 2 -1}, 0 < =n < = 3 a)h[n]
c) Determine yC[n] using the DFT-based approach
d) Extend g[n] and h[n] to length_6 sequences by zero-padding and compute the 6-point circular convolution y[n] of the extended sequences. Is y[n] the same as yL[n] determined in Part (a)?
Two sides of a right triangle measure 2 units and 4 units.
4 units
2 units
What is the area of the square that shares a side with the third side of the triangle?
units?
Which relations represent functions? Choose all that apply.
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
help me please-
Answer:
its 5,1
Step-by-step explanation:
just took the test
A local farmer built a rectangular pen for her chickens using 12 meters of fence. She used part of one side of her barn as one length of the rectangular pen. She maximized the area using 12 meters of fence. She then build a rectangular pen for her pigs using 16 meters of fence. She used part of one side of her barn as one length of the rectangular pen. The length of her pen was 2 meters more than the length of the chicken pen. The width of her pen was 1 meter more than the width of the chicken pen. How much larger is the pig pen than the chicken pen
The pig pen is 14 sq. meters larger than the chicken pen built by the former.
What are the perimeter and area of a rectangle?Consider a rectangle with length 'L' and width 'W'.
So, its perimeter = 2(L + W) units and area = L × W sq. units.
Calculating the dimensions of the rectangular pen for chicken:It is given that a farmer built a rectangular pen for chickens.
The chicken pen's perimeter is 12 meters, and she used only one side of the barn as one length of the rectangular pen.
So,
L + 2W = 12
⇒ L = 12 - 2W
Then its area is calculated as below:
Area = L × W
= (12 - 2W) W
= 12W - 2W²
Consider A' = 0 for finding the larger area.
So, differentiating the area w.r.t W,
dA/dW = 12 - 4W
0 = 12 - 4W
⇒ 4W = 12
∴W = 3 meters
Then,
L = 12 - 2W = 12 - 2(3) = 6 meters
So, the area of the chicken pen = 6m × 3m = 18 m²
Calculating the dimensions of the rectangular pen for the pig:It is given that,
The length of the pig pen was 2 meters more than the length of the chicken pen. I.e., L' = L + 2
The width of the pig pen was 1 meter more than the width of the chicken pen. I.e., W' = W + 1
On substituting L and W values to find the dimensions of the pig pen,
L' = 6 + 2 = 8m
W' = 3 + 1 = 4m
Then,
Area = L' × W'
= 8m × 4m
= 32 m²
Finding how much larger is the pig pen than the chicken pen:
Area of the pig pen - Area of the chicken pen
⇒ 32 m² - 18 m² = 14 m²
Therefore, the pig pen is 14 m² larger than the chicken pen.
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using the exponential smoothing model for forecasting, the smoothing constant alpha determines the level of smoothing and what?
Answer:
Step-by-step explanation: The speed of reaction to differences between forecasts and actual results. is the answer i think
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
This question has four parts a, b, c, and d. Please answer all four parts, and don't forget the diagrams. 3-25. An electronics goods store has electronic devices, such as mobile phones, laptops, televisions, and refrigerators for sale.
a. Is it possible to apply supertype/subtype hierarchy to the above situation?How?
b. Construct an EER diagram. Which specialization rule (completeness constraint) does it satisfy?
c. Can you think of any possible scenario in which the diagram satisfies the other specialization rule?
d. Consider that the owner has decided to sell both new and old products for resale. How will you incorporate this into the diagram?
a. Yes, it is possible to apply supertype/subtype hierarchy to the above situation. The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint. c. A possible scenario in which the diagram satisfies the other specialization rule. d. To incorporate the fact that the owner wants to sell both new and old products.
This is because all of the electronic goods are related to each other in some way. These items can be grouped together as electronic devices, and each type of device can have its own set of attributes.
b. The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint.
c. A possible scenario in which the diagram satisfies the other specialization rule (disjointness constraint) is if the store decides to only sell one type of device (for example, only mobile phones).
d. To incorporate the fact that the owner wants to sell both new and old products, we can add a "condition" attribute to the device entity. This attribute can have two possible values: "new" or "old". We can also add a "date of manufacture" attribute to the device entity to keep track of when the product was made.
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hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
B) 3 1/3
Step-by-step explanation:
To divide the fractions, simply follow these steps.
First, flip the second fraction, so that the numerator is the denominator, and the denominator is the numerator. Change the division sign into a multiplication:
(2/3)/(1/5) = (2/3) * (5/1)
Next, multiply straight across:
(2/3) * (5/1) = (2 * 5)/(3 * 1) = 10/3
Finally, simplify. Change the improper fraction into a mixed:
10/3 = 3/3 + 3/3 + 3/3 + 1/3 = 3 1/3
B) 3 1/3 is your answer.
~
Answer:
I got 3 1/3
Step-by-step explanation:
Also to divide fractions do. Keep Change and Flip
Keep the first fraction, flip the divide sign to the multiply sign. Then flip the other fraction. Then multiply
let's find the value.
3 upon 8 of 2m (in cm)
Answer:
75 cm
Step-by-step explanation:
1 m = 100 cm , so
2 m = 200 cm
Then
\(\frac{3}{8}\) × 200 cm
= 0.375 × 200 cm
= 75 cm
what is the midpoint of AB?
Answer:
(-4,-0.5)
Step-by-step explanation:
plzz answer it fast asap
Answer:
The length of the box is 6 cm. The width of the box is 3 cm. The height of the box is 2 cm.
Step-by-step explanation:
volume = length x width x height In this instance volume = 36 m³. I will let “b” be the length of the box. “w’ will be the width of the box. And “h” will be the height of the box. Therefore we know that b = 2w and b=3h. So: w= b /2 and h=b /3.
36 m³= b(b/2)(b/3)
36 = b³/6
b ³ = 216
b = 6
w = 6/2 = 3
h = 6/3 = 2