The speed of the Baba Yaga is 18 km/hr
Calculating Speed:The concept used to solve this problem is the formula for the distance, speed, and time relationship (d = st) and the concept of relative speed.
Since Baba Yaga has a tailwind while flying towards Bald mountain and a headwind while flying back to her home, her effective speed changes based on the wind direction.
We use the concept of relative speed to calculate the effective speed in both situations. We also use algebraic equations to solve for the unknown variable, which is Baba Yaga's flying speed in calm weather.
Here we have
Baba yoga calculates that with a tailwind of 2km/hr, she can fly toward a bald mountain.
She finds her flask when she is still 40 km from the mountain then turns around and flies back home. The entire journey takes 9 hours.
Let the speed of Baba Yaga is x
The speed with tailwind = (x + 2) Km/hr
The speed with a headwind = (x - 2) km/hr
The distance to Bald Mountain:
=> 6(x + 2) = 6x + 12
The distance she actually traveled is less than 40 km:
=> 6x + 12 - 40 = 6x - 28
The total time she spent:
=> (6x - 28)/(x+2) + (6x - 28)/(x -2) = 9
=> (6x - 28)(x - 2) + (6x - 28)(x + 2) = 9(x + 2) (x - 2)
=> 6x² - 12x - 28x + 56 + 6x² + 12x - 28x - 56 = 9x² - 36
=> 12x² - 56x = 9x² - 36
=> 3x² - 56x + 36 = 0
=> 3x² - 56x + 36 = 0
=> 3x² - 54x - 2x + 36 = 0
=> (3x - 2) (x - 18) = 0
Solving the quadratic equation we get:
x = 18 km/h
Therefore,
The speed of the Baba Yaga is 18 km/hr
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If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
T/F. he triple exponential smoothing method uses seasonality variations in the analysis of the data.
False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.
The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.
Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.
The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.
By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.
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Hurry I’m timed!!
To find the quotient of 8 divided by 1/3, multiply 8 by
O 1/8
O 1/3
O 3
O 8
Answer:
1/3
Step-by-step explanation:
Begin the process of KCF, or keep, change, flip. Keep the 8, change the division to a multiplication problem, and flip the fraction, making it 3/1, which is equivalent to 3. Bam.
Help me please!!!!!!!!!
Answer:
\( { \:( {6}^{10})}^{ - 7} \)
Step-by-step explanation:
For all choices the exponent are addeed not multiplied.
hope it helps ❤❤❤
For any question comment me
What is the equation of the line that passes through the point (-5,2 ) and has the slope of -2/5
Answer:
y = -2/5x + 2
Step-by-step explanation:
Determine the value of the angle.
Angle BDC=
90°-53°=37°
The whole angle is right angled
Solve for the missing side y
12
8
y
The missing side is 6√13 in the given right-angled triangle.
What is right-angled triangle?If one of a triangle's angles is a right angle (90 degrees), the triangle is known as a right-angled triangle or just a right triangle, according to the definition of a right triangle. Triangle ABC is a right triangle that contains the base, altitude, and hypotenuse in the example image.
Base AB, altitude AC, and hypotenuse BC are shown in this equation. The largest side and the side that faces away from the right angle in a right triangle is the hypotenuse, and it is this side that is significant.
Given that A right angle triangle has sides 12cm and 18 cm
y = \(\sqrt{12^2 + 18^2}\)
y = 6√13
Thus, the missing side y is 6√13.
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Х
Translate shapes
Draw the image of AABC under a translation by 5 units to the left.
y
7+
6-
5-
4+
3
-7 -6 -5 -4 -3 2
2 3 4 5 6 7
-5-
The new coordinates for point A would be (-3, 3), the new coordinates for point B would be (1, 3), and the new coordinates for point C would be (-1, 7).
Next, we can apply the translation by subtracting 5 from the x-coordinates of each point. This will move the triangle 5 units to the left while keeping its vertical position the same.
Finally, we can plot these new points on the same coordinate plane to get the image of AABC after the translation. The new triangle would have point A at (-3, 3), point B at (1, 3), and point C at (-1, 7), as shown in the diagram below:
y
7+ C'( -1, 7 )
6-
5-
4+ A'( -3, 3 ) B'( 1, 3 )
3
-7 -6 -5 -4 -3 2
2 3 4 5 6 7
-5-
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are 2x-7 equivalent to 2(x-2)+3
Answer:
No they are not equivalent.
Step-by-step explanation:
2(x - 2) + 3
First distribute the 2. It goes to both the x and also to the - 2
= 2x - 4 + 3
Add - 4 + 3
= 2x - 1
This is not equal to 2x - 7
Determine whether the logic used in each question is inductive reasoning or deductive reasoning.
a) Everyone in the Family Madrigal has a special gift. Luisa is in the Family Madrigal. Therefore, Luisa has a special gift.
b) Every dog I have seen is covered in fur. Barky is a dog. Therefore, Barky is covered in fur.
In both cases, the logic used is deductive reasoning. In the first question (a), the logic follows the form of a deductive syllogism. In the second question (b), the logic follows a deductive pattern.
In the first question (a), the logic follows the form of a deductive syllogism. It starts with a general premise that everyone in the Family Madrigal has a special gift. The second premise states that Luisa is in the Family Madrigal. From these two premises, the conclusion is drawn that Luisa has a special gift. This deductive reasoning relies on the truth of the premises and the logical structure of the argument.
Similarly, in the second question (b), the logic follows a deductive pattern. The first premise states that every dog the person has seen is covered in fur. The second premise states that Barky is a dog. From these premises, the conclusion is drawn that Barky is covered in fur. This deductive reasoning relies on the assumption that the person's observations are representative and that Barky fits the category of dogs.
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What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic?
Answer:
Developing a research topic is difficult when your trying to make sure it ties in all the information you need to prove your points and give reasoning
Step-by-step explanation:
a simple random sample of 500 individuals provides 150 yes responses. a. what is the point estimate of the proportion of the population that would provide yes responses (to 2 decimals)?
The point estimate of the proportion of the population that would provide yes responses can be calculated by dividing the number of yes responses in the random sample by the size of the sample.
Therefore, the point estimate is 150/500 = 0.30 or 30% (to 2 decimals). It's important to note that this estimate is based on a random sample and may differ from the actual proportion of the population.
Step 1: Identify the number of yes responses (150) and the total number of individuals in the sample (500).
Step 2: Calculate the proportion by dividing the number of yes responses by the total number of individuals in the sample. In this case, it would be 150 divided by 500.
Step 3: Convert the proportion to a decimal by performing the division. This will give you 0.3.
Step 4: Round the decimal to 2 decimal places, as requested. In this case, 0.3 is already rounded to two decimal places.
So, the point estimate of the proportion of the population that would provide yes responses is 0.30 (to 2 decimals), based on the random sample provided.
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A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay is sold by one pound increments only and costs $4.59 per pound. How much would it cost to buy enough clay to make 8 complete hemisphere stones?
Answer:
$137.82
Step-by-step explanation:
The volume of a hemisphere stone is given by the volume of a half-sphere:
Volume = (2/3) * pi * radius^3
If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:
Volume = (2/3) * pi * 8^3 = 1072.33 in3
We need a total of 8 stones, so the total volume is:
Total Volume = 8 * 1072.33 = 8578.64 in3
The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:
Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds
Finally, if the price of each pound of clay if $4,59, the final price is:
Price = 30.0252 * 4.59 = $137.82
Help, please! I appreciate you taking the time to help me
question attached
My Uncle ordered 5 Pizzas, we were 20 people in all. I was just thinking how many pieces of
Pizza will each one of us will get if divided equally? (Each Pizza has 8-pieces)
You drive 60 kilometers per hour. What is your speed in miles per hour?
Answer:
Rounded it's 37 mph but the exact answer is 37.28 mph
Why can't I see my answer?
all about surds and how to calculate them
Answer:
In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified.
Step-by-step explanation:
Y=-2/5x-4 find slope and y intercept
Answer:
slope= -2/5
y intercept is (0,-4)
Step-by-step explanation:
Sonya walks her dog to the dog park along the route shown. Distances in the coordinate plane
are in city blocks?
Sonya’s house is -2,6
Stop sign is -2,1
Dog park is 1,1.
How many city blocks is this?
*distances in coordinate plane are city blocks*
Sonya walks approximately 10.24 city blocks to get from her house to the dog park.
What is coordinate geometry?
Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. It is also known as analytic geometry or Cartesian geometry.
To find the distance between two points in the coordinate plane, we can use the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
Using this formula, we can find the distance between Sonya's house and the stop sign:
d1 = √((-2 - (-2))² + (1 - 6)²) = √(5² + (-5)²) = √(50) = 5√(2)
We can then find the distance between the stop sign and the dog park:
d2 = √((1 - (-2))² + (1 - 1)²) = √(3²) = 3
Finally, we can add the two distances together to find the total distance Sonya walks:
d_total = d1 + d2 = 5√(2) + 3 ≈ 10.24
Therefore, Sonya walks approximately 10.24 city blocks to get from her house to the dog park.
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True or False:
According to the table, about 10% of customers surveyed
ordered the eggplant parmesan meal.
About 10% of customers surveyed ordered the eggplant parmesan meal is false.
We have,
Total number of orders.
= 13 + 10 + 5 + 17 + 5
= 50
Now,
The total number of eggplant orders.
= 10
Now,
The percentage of eggplant orders.
= 10/50 x 100
= 10 x 2
= 20%
Thus,
About 10% of customers surveyed ordered the eggplant parmesan meal is false.
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Classify the polynomial by degree and by number of terms 5 square 3
Step-by-step explanation:
not 15
PLS PLS i need step by step please and undefined numbers to be shown please THANK YOU!
1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.
x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.
2) The given expression is:
(5-2x)/(x+2) + x^2/(x^2-4) - 5
To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:
[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]
Expanding the brackets and simplifying, we get:
(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]
This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.
(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.
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Please help! I will give brainliest.
Answer:
Therefore, the measure of ∠x is 33 degrees.
Step-by-step explanation:
As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:
∠R + ∠x = 90 degrees
Substituting the given values, we get:
57 + ∠x = 90
∠x = 90 - 57
∠x = 33 degrees
Answer: x = 32°
Step-by-step explanation: triangle of ABC = 58°, 90° & x°
x = 180°-148° = 32°
(x° is equal to the unknown° where C is, as well as 58° where A is)
Guy is considering an investment that will pay $2,000 at the end of year 1; $1,500 at the end of year 2; $3,000 at the end of year 3; and, $400 at the end of year 4. rate for this investment is 6%, what would Guy be willing to pay today for this investment? If the current interest A) $6,900.00 B) $6,057.48 C) $5,989.00 D) $7,567.65 E) $7,134.54
Therefore, Guy would be willing to pay approximately $5,989.00 today for this investment based on the expected cash flows and the interest rate. The correct option is C) $5,989.00.
The formula for present value of a series of cash flows is given by:
\(PV = C1/(1+r)^1 + C2/(1+r)^2 + C3/(1+r)^3 + ... + Cn/(1+r)^n\)
Where:
PV is the present value,
C1, C2, C3, ..., Cn are the cash flows at different time periods,
r is the interest rate, and
n is the number of time periods.
In this case, the cash flows are $2,000, $1,500, $3,000, and $400, occurring at the end of year 1, year 2, year 3, and year 4, respectively. The interest rate (r) is 6%.
Substituting these values into the formula, we have:
\(PV = 2,000/(1+0.06)^1 + 1,500/(1+0.06)^2 + 3,000/(1+0.06)^3 + 400/(1+0.06)^4\)
Simplifying the expression:
\(PV ≈ 2,000/1.06 + 1,500/1.06^2 + 3,000/1.06^3 + 400/1.06^4\)
Using a calculator, we find that PV ≈ $5,989.00.
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whats the answer?????????
Suppose y varies directly with x, and y= 12 when x=-3. What is the value of y when x = 6?
O-24
02
0-2
O-4
Answer:
02
Step-by-step explanation:
when you have a statement such as
"Suppose y varies directly with x "
you can write it as y = kx, where k is some constant.
In most cases you will be given one relations that let's you find the value of k, sure enough: x=12 and x=6
so 12 = k(6)
k = 2
then your equation will be y = 2x
Select the correct order in which differentiation should take place for g(x) = {/x sin? x. O Product Rule, Chain Rule, Power Rule O Chain Rule, Product Rule, Power Rule O Power Rule, Product Rule, Chain Rule O Power Rule, Chain Rule, Product Rule
The correct order in which the differentiation of g(x) = x^n sin(ax) is given as follows:
Product Rule, Chain Rule, Power Rule
How to calculate the differentiation?The function for this problem is given as follows:
g(x) = x^n sin(ax).
In this function, two functions of x, x^n and sin(ax) are multiplied, meaning that the product rule is used to obtain the derivative of g(x).
Applying the product rule, the first step is given as follows:
g'(x) = (x^n)' sin(ax) + x^n [sin(ax)]'.
Then the remaining operations are then applied as follows:
(x^n)': Power rule.[sin(ax)]': Chain rule.Meaning that the correct order of the operations to obtain the derivative is given as follows:
Product Rule, Power Rule, Chain Rule.
The chain rule and the power rule are interchangeable, as the derivative can also be written as:
g'(x) = x^n [sin(ax)]' + (x^n)' sin(ax).
And thus the first option is correct.
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What is the value of x?
Answer:
40
Step-by-step explanation:
4x=180-20
4x=160
X=40
I need help with this !
Answer:
1. 34
2. No solution
3. -56
4. 341
5. -5
6. 0
Step-by-step explanation:
I don’t know if all of them are right but I hope I helped