Answer:
4a) 5.8cm
4b) 18.5
Step-by-step explanation:
4a)(because AB is parallel to AC)
4b)D and F is parallel to D E which means DF=7.2 therefore add it to 11.3
7.2 + 11.3 = 18.5
these are the ones I can answer hope this helps
The graph shows the total price, p, for various quantities of chocolate, c. Daniel wrote the equation c = 3p to represent the graph. Which error did Daniel make?
Answer:
i Idont even know xd
Step-by-step explanation:
_____ is a prediction that focuses on only one independent variable's effect on the dependent variable, ignoring all other independent variables.
Answer:
Correlation
Step-by-step explanation:
Express
as a trinomial.
(2x – 6)(x – 4)
Answer:
\(2x^2 - 14x + 24\)
Step-by-step explanation:
Answer:
\((2x - 6)(x - 4) \\ 2 {x}^{2} - 8x - 6x + 24 \\ 2 {x}^{2} - 14x + 24 \\ thank \: you\)
A cell phone service provider offers a plan that charges
$30.35 per month and $0.05 per minute for phone calls. If a
person received a bill of $45.35 last month, how many
minutes of phone calls were they charged for?
Answer:
They were charged 300 minutes of phone calls.
Step-by-step explanation:
$30.35 was the monthly charge for this service provider. Subtract that from the $45.35 which would leave $15. $15 divided by $.05 = 300. 300 minutes is your answer.
calculate the kinetic energy of a man of mass, 50kg moving with an average speed of 15m/s
If there are 4.8 grams of a radioactive substance present initially and 0.4 grams remain after 13 days, what is the half life?
Half life of the radioactive substance is 3.6 days
How to calculate the half life of the substanceThe half life of the element is calculated from the formula
N(t) = N'(1/2)^(t/t')
N(t) = quantity of the substance remaining
N' = initial quantity of the substance
t = time elapsed
t' = half life of the substance
0.4 = 4.8 (0.5)^13/t'
0.4 / 4.8 = (0.5)^13/t'
take natural logarithm of both sides
㏑(0.4/4.8) = 13/t' ㏑(0.5)
divide through by natural log of 0.5
-2.4849 / ㏑(0.5) = 13/t'
13/t' = 3.58496
t' = 13 / 3.58496
t' = 3.626 days
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What is the sum of the heights of the two trees?
Round your answer to the nearest whole number
The sum of the heights of the two trees with given volumes and radius is equal to 9 cm (nearest whole number ).
Volumes of the cylindrical trunks of first tree = 904.78 cm³
and Volumes of the cylindrical trunks of first tree =113 cm³.
radius of the first tree = 6cm
Radius of the second tree = 6cm
The formula for the volume of a cylinder is V = πr²h,
where r is the radius of the cylinder,
h is the height of the cylinder,
and π is the constant approximately value equal to 3.14.
For the first tree,
⇒904.78 = π(6)²h
⇒h = 904.78 / (π(6)²)
⇒h ≈ 8.004 cm
For the second tree, we have,
⇒113 = π(6)²h
⇒h = 113 / (π(6)²)
⇒h ≈ 0.9996 cm
This implies,
The sum of the heights of the two trees is equal to,
= 8.004 + 0.9996
= 9.003 cm
= 9 cm ( nearest whole number)
Hence, the sum of the heights of the two trees is approximately 9 cm nearest whole number.
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The given question is incomplete, I answer the question in general according to my knowledge:
The two trees trunk are in cylindrical shape. one with radius 6cm and volume 904.78 cm³ and another one with radius 6cm and volume 113 cm³.
What is the sum of the heights of the two trees? Round your answer to the nearest whole number
Using the slope that you found in the last part, what is the equation of the line that passes through (1,2) and (8,9) in
point-slope form?
Choose either point
Answer:
Step-by-step explanation:
Gradient = y²- y¹/x²- x¹
Gradient = 9-2/8-1 = 7/7
Therefore gradient = 1.
Am not sure but I hope this helps
This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average
This measure of central tendency can be considered the most precise in option c. mean
The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.
The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.
However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.
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8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
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Charles packs 25 boxes in 5 hours. How many boxes can he pack in his 25-hour shift?
Answer:
he can pack 30 boxes
Step-by-step explanation:
i hope this helps
10 + 2.5x > 35 please help meeee
\(x > 10\)
Step-by-step explanation:
1) Subtract 10 from both sides.
\(2.5x > 35 - 10\)
2) Simplify 35 - 10 to 25.
\(2.5x > 25\)
3) Divide both sides by 2.5.
\(x > \frac{25}{2.5} \)
4) Simplify 25/2.5 to 10.
\(x > 10\)
Therefor the answer is, x > 10.
Plsss help ASAP I DONT have time..
Answer:
3
Step-by-step explanation:
there is a 3 times difference in the first image and its the same just smaller
HELLP ASAP
1. Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
A. $1,440
B. $4,000
C. $1,600
D. $1,840
2. Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?
A. 545 minutes
B. 2,250 minutes
C. 445.5 minutes
D. 22,275 minutes
3. Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves?
A. $24.70
B. $13
c. $5.64
D. $60
Using the "power rule", determine the derivative of the functions: f(x) = (15/ (x^4))- ( 1 /8)x^-2
The derivative of the given function is:
f'(x) + g'(x) = (-60 / (x^5)) + (1/4)x^-3
To use the power rule, we differentiate each term separately and then add the results.
For the first term, we have:
f(x) = (15/ (x^4))
Using the power rule, we bring down the exponent, subtract one from it, and multiply by the derivative of the inside function, which is 1 in this case. Therefore, we get:
f'(x) = (-60 / (x^5))
For the second term, we have:
g(x) = -(1/8)x^-2
Using the power rule again, we bring down the exponent -2, subtract one from it to get -3, and then multiply by the derivative of the inside function, which is also 1. Therefore, we get:
g'(x) = 2(1/8)x^-3
Simplifying this expression, we get:
g'(x) = (1/4)x^-3
Now, we can add the two derivatives:
f'(x) + g'(x) = (-60 / (x^5)) + (1/4)x^-3
Therefore, the derivative of the given function is:
f'(x) + g'(x) = (-60 / (x^5)) + (1/4)x^-3
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what is the product of (-a+3)(a+4)?
\((-a+3)(a+4)=-a^2-a+12\).
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
-6.75 Natural, whole, integer, rational, irracional, real,
-6.75 is a rational number.
Let us understand about natural, whole, integer, rational, and irrational numbers one by one.
Natural number:
Natural numbers are numbers that start from 1 and end at infinity. These are non-negative numbers.
Whole number:
Whole numbers are numbers that start from 0 and end at infinity.
We can also natural numbers including 0 is known as whole numbers.
These are non-negative numbers.
Integer:
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Rational number:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Also, the decimal representation of the rational number is terminating and recurring.
Irrational number:
An irrational number is a number that can not be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Also, the decimal representation of the irrational number is non-terminating and non-recurring.
The given number is -6.75.
The decimal form is terminating.
So, it is a rational number.
Thus, -6.75 is a rational number.
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in 2010 an item cost $200. The price increase by 1.5% each year. How much wil it cost in 2030?
Round
your
answer to the nearest cent.
Step-by-step explanation:
Let P be price after t year . From the formula of compounding
P = 9 (1.015)^t
Taking log to the base e on both sides
ln P = ln 9 + t ln 1.015
= (2.197 + .0149t )
P = e^{(2.197+.0149t)}
Find the slope of the points (-10, -52)
and (-70, -32)
Answer:
Slope= -1/3
Step-by-step explanation:
The slope is found using (y₂ - y₁) / (x₂ - x₁)
(y₂ - y₁)
So let's do the numerator first with the y. -52-(-32). The two negative signs make 32 positive so -52 + 32= -20
(x₂ - x₁)
Now the denominator, x. -10-(-70). Same thing here, the two negative signs make 70 positive so -10 + 70 = 60
(y₂ - y₁) / (x₂ - x₁)
Now put them together so -20/60 which equals -1/3 which the slope
which measurement is the best estimate for the height of a kitchen counter?
1. 0.9 mm
2. 0.9 cm
3. 0.9 km
4. 0.9 m
the walt disney company has successfully used related diversification to create value by:
The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.
Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.
For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.
Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.
In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.
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Peyton completed her quiz and received a score of 80%. The quiz was out of a total of 40 questions, how many questions did she get correct?
Find the average height of the paraboloid z=x^2+y^2 over the square:
0
To find the average height of the paraboloid \(z = x^2 + y^2\) over the square, we need to calculate the average value of z over the given square region.
Let's denote the square region as R, with sides of length L. Since the square is centered at the origin (0, 0), its vertices can be represented as \(\left(\frac{L}{2}, \frac{L}{2}\right), \left(-\frac{L}{2}, \frac{L}{2}\right), \left(\frac{L}{2}, -\frac{L}{2}\right), \text{ and } \left(-\frac{L}{2}, -\frac{L}{2}\right)\).
The average value of a function f(x, y) over a region R is given by the double integral:
\(\text{Avg}(f) = \frac{1}{\text{Area}(R)} \iint_R f(x, y) \, dA\),
where dA represents the differential area element and Area(R) is the area of the region R.
In this case, we want to find the average height of the paraboloid \(z = x^2 + y^2\), so our function is \(f(x, y) = x^2 + y^2\).
The differential area element dA in Cartesian coordinates is given by dA = dx dy.
The region R is a square with sides of length L, so its area is given by \(Area(R) = L^2\).
Substituting the function, differential area, and region area into the average formula, we have:
\(\text{Avg}(f) = \frac{1}{L^2} \iint_R (x^2 + y^2) \, dx \, dy\)
To evaluate the double integral, we integrate with respect to x from \(-\frac{L}{2} \text{ to } \frac{L}{2}\), and with respect to y from \(-\frac{L}{2} \text{ to } \frac{L}{2}\).
\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \int_{-\frac{L}{2}}^{\frac{L}{2}} (x^2 + y^2) \, dx \, dy\)
Integrating with respect to x, we get:
\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \left(\frac{x^3}{3} + xy^2\right) \, dx \, dy\)
Simplifying, we have:
\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \left(\frac{L^3}{12} + \frac{y^2L}{4}\right) \, dy\)
Integrating with respect to y, we get:
\(\text{Avg}(f) = \frac{1}{L^2} \left[\left(\frac{L^3}{12}\right)y + \left(\frac{y^3L}{4}\right)\right]_{-\frac{L}{2}}^{\frac{L}{2}}\)
Evaluating the integral limits, we have:
\(\text{Avg}(f) = \frac{1}{L^2} \left[\left(\frac{L^3}{12}\right)\left(\frac{L}{2}\right) + \left(\left(\frac{L}{2}\right)^3\frac{L}{4}\right)\right]\)
Simplifying further:
\(\text{Avg}(f) = \frac{1}{L^2} \left[ \frac{L^4}{24} + \frac{L^4}{32} \right]\\\\= \frac{1}{L^2} \left[ \frac{8L^4 + 6L^4}{96} \right]\\\\= \frac{1}{L^2} \left( \frac{14L^4}{96} \right)\\\\= \frac{14L^2}{96}\)
Therefore, the average height of the paraboloid \(z = x^2 + y^2\) over the given square region is \(\text{Avg}(f) = \frac{14L^2}{96}\).
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use green’s theorem to evaluate yc f dr. (check the orientation of the curve before applying the theorem.)
To evaluate the line integral ∮C F · dr using Green's theorem, we need to confirm the orientation of the curve C and apply the appropriate sign. Therefore, ∮C F · dr = -8 - 8π.
Given the vector field F(x, y) = ⟨y - cos(y), x sin(y)⟩ and the curve equation \((x - 4)^2 + (y + 9)^2 = 16\), let's proceed with the evaluation.
1. Orientation of Curve C:
To determine the orientation, we can parametrize the curve equation. Let's use the parameterization:
x = 4 + 4cos(t)
y = -9 + 4sin(t)
By analyzing the parameterization, we find that the curve C is oriented counterclockwise as t varies from 0 to 2π.
2. Green's Theorem:
Green's theorem states that ∮C F · dr = ∬D (∂Q/∂x - ∂P/∂y) dA, where D is the region enclosed by the curve C, F = (P, Q) is the vector field, and dr = (dx, dy) is the differential displacement vector.
3. Apply Green's Theorem:
Let's compute the double integral of (∂Q/∂x - ∂P/∂y) over the region D.
∬D (∂Q/∂x - ∂P/∂y) dA = ∬D ((∂/∂x)(x sin(y)) - (∂/∂y)(y - cos(y))) dA
4. Evaluate the Double Integral:
Integrate (∂/∂x)(x sin(y)) and (∂/∂y)(y - cos(y)) with respect to x and y over the region D.
∬D (∂Q/∂x - ∂P/∂y) dA = ∫(0 to 2π) ∫(0 to 4) (sin(y) - 1) dx dy
Evaluate the inner integral:
= ∫(0 to 2π) [x sin(y) - x] |(0 to 4) dy
= ∫(0 to 2π) (4sin(y) - 4) dy
Evaluate the outer integral:
= [-4cos(y) - 4y] |(0 to 2π)
= [-4cos(2π) - 4(2π)] - [-4cos(0) - 4(0)]
Simplifying, we get:
= [-4 - 8π] - [-4]
= -8 - 8π
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use green’s theorem to evaluate yc f dr. (check the orientation of the curve before applying the theorem. \(F(x, y) &= \langle y - \cos(y), x \sin(y) \rangle\) C is a circle \((x - 4)^2 + (y + 9)^2 &= 16\) oriented counterclockwise.
and D are noncoplanar. △ABC,△ABC,△ACD, and △ABD are equilateral. X and Y are midpoints of AC¯¯¯¯¯¯¯¯ and and AD.Z is a point on AB¯¯¯¯¯¯¯¯. What kind of triangle is △XYZ? Explain.
ΔXYZ will also be an equilateral triangle.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.
As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic
Hence XYZ will also be an equilateral triangle
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FILL IN THE BLANK. 1. the steps of the analytical problem-solving model include: identifying the problem,___, selecting alternatives, implementing a solution, and evaluating the situation.
The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.
What is analytical problem solving ?Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.
Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.
Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.
Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).
According to the steps involved in analytical problem solving model:
The ability to examine a situation, The ability to research and focus on key aspects,The ability to analyze the facts and data around the situationThe ability to prioritize and identify critical aspectsThe ability to build an argument to define a problem The ability to investigate and propose root cause(s), while also highlighting the strengths and weaknesses of this argument.To learn more about analytical model, visit:
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The base of a regular pyramid is a hexagon
12 cm 30°
a
What is the area of the base of the pyramid?
Answer:
Below in bold.
Step-by-step explanation:
The hexagon is made up of 6 equilateral triangles.
So the Base = 12 cm.
Height a = 12 cos 30 = 10.392 cm
So area of 1 triangle = 1/2 * 12 * 10.392 cm^2
- and total area = 6 * 1/2 * 12 * 10.392
= 36 * 10.392
= 374.11 cm^2 to the nearest hundredth.
The curve y tan x crosses the line y = 7x at a non-zero x-value between x = 0 and X Ξ . Use Newton's method to find where the curves intersect. The curve y = tan x crosses the line y = 7x at x = (Type an integer or decimal rounded to seven decimal places as needed.) Enter your answer in the answer box. 8:04 PM O Type here to search
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To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.
We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.
Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:
x_(n+1) = x_n - f(x_n) / f'(x_n),
where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).
We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.
Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.
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A clothing store has a 20% discount on all items in the store. If the discount for a sweater is $18, what is the original cost of the sweater?
Answer:
$90
Step-by-step explanation:
Let x = original cost
20% of x is $18
0.2x = 18
divide both sides by 0.2
x = 90
Answer: $90
-7w=-w+6
Please help what does this equal to