Answer:
2 lb
Step-by-step explanation:
Let x = number of pounds
Let c = cost
first orchard:
it costs $30 to rent a basket
pound of apples collected costs $5
c = 5x + 30
second orchard:
baskets are free
apples cost $20 per pound
c = 20x
We want the costs to be equal.
20x = 5x + 30
15x = 30
x = 2
Answer: 2 lb
What can be concluded when the correlation coefficient of two companies = -0.95?
a. The expected returns of the two companies are exactly opposite of each other.
b. The variances of the two companies are approximately equal to each other.
c. The state dependent returns of the two companies are approximately equal.
d. The covariance between the returns of the two companies is less than zero.
When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.
The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation. This is calculated for the given condition using the below formula,
[tex]\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}[/tex].
Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.
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Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 39 feet long and makes a 40 degree angle with the ground. How high is the kite?
Answer:
100
Step-by-step explanation:
how many teaspoons is 10 ml
Using the formula, we can convert milliliters to teaspoons. 1 milliliter equals 0.202 teaspoons, thus 10ml equals 2.02 teaspoons.
The volume unit is milliliters. A teaspoon is also a volume measure, however it is a smaller unit that is commonly used at dinner settings.
One millilitre is equivalent to 0.202 US teaspoons using normal conversion rates.
As a result, we may define the link using the unit conversion idea.
One milliliter is equal to 0.202 teaspoons in the United States.
For example, 10 milliliters equals 2.02 teaspoons.
As a result, we'll need roughly 2 tablespoons to get 10 ml.
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Identify the vertex, axis of symmetry and whether the vertex is a minimum or maximum for the given function.
f(x)=2(x+1)^2-6
The vertex is (-1, -6) and the axis of symmetry is -1. The function is minimum. The solution has been obtained by using equation of parabola.
What is a parabola?
Any point on a parabola is equally separated from both the focus, or predetermined point, and the fixed straight line (known as the directrix).
We are given f(x) = 2(x + 1)² - 6
We know that a parabola of equation a(x - h)² + k always has its vertex at (h, k) with axis of symmetry at x = h.
So, the vertex here is (-1, -6) and the axis of symmetry is x = -1.
It is a minimum function because there is a positive value before (x - h)².
Hence, the vertex is (-1, -6) and the axis of symmetry is -1 and the function is minimum.
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Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 7 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 19 left over. How many chairs does Liam have?
Answer: i think the answer would be 75
Answer:
55 chairs.
Step-by-step explanation:
Note the way Liam arranges the chairs.
1) He arranges chairs in 8 rows of the same length, with 7 chairs left over.
8x + 7
2) He arranges chairs in 6 rows of the same length, with 19 chairs left over:
6x + 19
Set the two expressions equal to each other:
8x + 7 = 6x + 19
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6x and 7 from both sides of the equation:
8x (-6x) + 7 (-7) = 6x (-6x) + 19 (-7)
8x - 6x = 19 - 7
2x = 12
Next, divide 2 from both sides of the equation:
(2x)/2 = (12)/2
x = 12/2
x = 6
Plug in 6 for x in both expressions. It should give the same answer:
8x + 7
8(6) + 7 = (8 * 6) + 7 = (48) + 7 = 55
6x + 19
6(6) + 19 = (6 * 6) + 19 = (36) + 19 = 55
~
Therefore, Liam has 55 chairs in all.
~
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The graphs of function f ang g represent the height of an object being launched into the air as a function of time. Which object was in the air longer?
Function g lingered for a while.
What does the physics projectile equation mean?h = v 0 y 2 2 g . This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.
What is the projectile's maximum height formula?The projectile formula's maximum height from the graph is H = u 2 sin 2 2 g.
An item named g was launched from a higher location when x=0... g(0)> f(0).
A higher point was reached by the object of g.
When the object was launched, f's slope was greater than g's slope.
The launch velocity of object f was greater.
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Evaluate
7
1
/
6
−
3
5
/
8
.
Answer:
3.542
Step-by-step explanation:
7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.
7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542
Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 8 about the line x = ln 8. Please show me in two ways (disk/washer method and cylindrical shells method)
the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical
Disk/washer method:
[tex]V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)[/tex]
Cylindrical shells method:
[tex]V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2[/tex]
The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).
The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical
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what is 1 gallon in oz?
The value 1 gallon has 128 fluid ounces(oz)
"How many ounces in a gallon?" This is one of the most frequently asked questions regarding liquid measurements. One gallon equals 8 pints, 4 quarts, or 16 cups. There are 128 fluid ounces in a gallon, and this number depends on whether you use imperial or metric units of measure.
There are 128 US fluid ounces in a US gallon. If you're in the UK, you'll find a gallon at 160 UK fluid ounces. This is because the US fluid gallon is smaller than the British imperial gallon (3,785 liters compared to
,5
6 liters). When converting
Gallons to Fluid Ounces, remember that the US Fluid Ounce is larger than the British Imperial Ounce. A US fluid ounce is 29.5735 ml. For comparison, a UK (Imperial) fluid ounce is 28.
131 ml. So the US has a smaller gallon than the UK, but a slightly larger fluid ounce. It's enough to make your head explode. For these two conversions you need the following information:
1 gallon (US) = 128 ounces (US, Fluid)
1 gallon (UK) = 160 ounces (UK, Fluid)
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Can someone tell me the domain and range for this function?
The domain is all real values and the range is y <= 3
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
The domian is the set of the input values
In this case, the graph has no restriction on its input
So, we have
Domain = all set of real values
For the range, we have
Maximum y value = 3
So, we have
Range: y <= 3
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how much is 1000 mcg to mg
To convert mcg to mg, divide the mcg value by 1000. Therefore:
1000 mcg = 1000/1000 mg = 1 mg
So, 1000 mcg is equal to 1 mg.
NEED HELP ASAP:In the year 2000, a person bought a new car for $15000. For each consecutive year
after that, the value of the car depreciated by 11%. How much would the car be worth
in the year 2004, to the nearest hundred dollars?
The car would be worth $9400 in the year 2004.
How to determine the worth of the car?If the car depreciates by 11% each year, then its value at the end of each year will be 89% of its value at the beginning of the year (100% - 11% = 89%). Therefore, the value of the car after 1 year will be:
$15000 * 0.89 = $13350
The value of the car after 2 years will be:
$13350 * 0.89 = $11881.50
The value of the car after 3 years will be:
$11881.50 * 0.89 = $10576.77
The value of the car after 4 years (in the year 2004) will be:
$10576.77 * 0.89 = $9422.19
Therefore, the car would be worth $9400 in the year 2004.
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Select all the correct answers to this question: ¿Cuántos hermanos tienes?
1. No tienes hermanos.
2. Tengo un hermano y dos hermanas.
3. Tiene un hermano y una hermana.
4. Yo tengo tres hermanos.
Answer:
The correct answers to this question would be 2. Tengo un hermano y dos hermanas and 4. Yo tengo tres hermanos.
Are the triangles similar?
Yes or no?
How do you know?
Answer:
no
Step-by-step explanation:
A new car is purchased for 21,100 dollars. The value of the car depreciates at a rate of 2% per year. Which equation represents the value of the car after 5 years?
the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08
How to calculate the equation that represents the value of the car after 5 yearsGiven:
The cost price of the car, P = $21100,
The depreciation rate = 2%
Calculate the value of the car after 6 years by the following formula,
A = P (1- r / 100)ⁿ
Here A is the value of the car after 6 years.
Substitute the values,
A = 21100 × (1- 2 / 100)^5,
A = $19,105.08
Therefore, the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08
Philippe is 13 years old and his father is 4 times older. In how many years will the father's age be twice the age of his son?
13×4=52
Ok Multiplacation is a simple Math formula everyone can do so you have to do this:
13+13+13+13=52
Now do this:
13×4=52
Answer is 52
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil)=0.45
p(medium-quality oil)=0.15
p(no oil)=0.40
a. What is the probability of finding oil (to 2 decimals)?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.
a. The probability of finding oil is 0.45
b. The probability of finding high-quality oil is 0.25
c. P(medium quality oil) = 0.20
d. P(no oil) = 0.55
How to solve thisThe probabilty of finding oil
P(oil) = P(high quality oil) + P(medium quality oil)
= 0.25 + 0.20
= 0.45
b. P(soil high quality oil) = 0.20
P(medium qty) = 0.80
P(no oil) = 0.20
The probability of finding oil is good.
Given the probability of finding good soil, the oil company is more likely to find medium quality oil.
The new probability of finding oil is
P(High quality) + P(medium quality) =
0.15625 + 0.5
= 0.65625
Using the conditional probabilty formula
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Anna and her brother were collecting seashells,. she collected s shells and her brother collected twice as much
So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.
They gathered a total of s + 2s = 3s shells.
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What is the equation of the normal line to the curve
y=sin(sinx)
at x=π ? A. y=x−π
B. y=−x−π
C. y=Ï€x
D. y=πx−1
E.y=− π1 x−1
The equation of the normal line to the curve is y = -x + π
To find the equation of the normal line to the curve y = sin(sinx) at x = π, we need to find the slope of the tangent line at x = π and then use that to determine the slope of the normal line. We can find the slope of the tangent line by taking the derivative of y with respect to x and evaluating it at x = π.
y = sin(sinx)
Taking the derivative with respect to x, we get:
dy/dx = cos(sinx) * cosx
At x = π, we have:
dy/dx = cos(sin(π)) * cos(π) = -1 * (-1) = 1
So the slope of the tangent line at x = π is 1. Since the normal line is perpendicular to the tangent line, its slope is the negative reciprocal of 1, which is -1.
Now we need to find the y-intercept of the normal line, which is the point where the line intersects the y-axis. To do this, we can plug in the values of x = π and y = sin(sinx) = sin(sin(π)) = 0 into the equation of the line:
y = mx + b
0 = -1 * π + b
b = π
So the equation of the normal line is:
y = -x + π
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A number decreased by 3 is at least 7
Answer:
Step-by-step explanation:
x-3 is greater than or less than 7
I need some help please
Answer:
1 ≤ x ≤ 9
Step-by-step explanation:
Mathematics word problem. Please show working out, 25 points.
Answer:
188 cm rounded to the nearest whole number.
Step-by-step explanation:
1 rotation = 2[tex]\pi[/tex]r
2[tex]\pi[/tex](15) If the dimeter is 30, the radius is 15
2 rotations would be
2[2[tex]\pi[/tex](15)]
188.495559218
Answer:
188.5 cm
Step-by-step explanation:
Circumference of a circle = C = 2πr = πD
D = 30 cm
C = π(30 cm) = 94.25 cm
2 revs = 2C = 2(94.25) = 188.5 cm
Pls help I need this by the end of today
The average rate change of over the interval [-1,1] is 2.
What is an interval?
In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.
Given points on the graph is
x -2 -1 0 1
y -4 -3 -1 3
The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,
Average rate of change = [f(b) - f(a)]/(b - a)
Here a = -1, b = 1, f(a) = -3, and f(b) = 3
The average rate is (3 - (-3))/ (1 - (-1)) = 2
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What are the basic parts of a circle?
The basic parts of a circle are the circumference, diameter, radius, and center. The circumference is the outer boundary of the circle, and it is the distance around the circle.
The diameter is a line segment that passes through the center of the circle and connects two points on the circumference. The radius is a line segment that connects the center of the circle to a point on the circumference.
The center is the point in the middle of the circle, and it is equidistant from all points on the circumference. These four basic parts are essential to understanding the properties of circles, such as their area, circumference, and relationships between different parts.
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Please, Help me with this question
Given that sin30˚=1/2. Find the exact value of sin120˚
Recognizing that sin(30º) = 1/2, the exact value of sin(120º) is √3/2.
The exact value of sin(120˚) can be found by using the double angle formula for sine. The formula is:
sin(2θ) = 2sinθcosθ
Since we are given that sin(30˚) = 1/2, we can substitute 30˚ for θ in the formula to find sin(120˚):
sin(120˚) = 2sin30˚cos30˚
sin(120˚) = 2(1/2)(√3/2)
sin(120˚) = √3/2
Therefore, the exact value of sin(120˚) is √3/2.
Note that to solve this type of problem it is crucial to know different types of trigonometric identities.
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A pole 8 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Maya measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
A: 111 ft long. (Student pressed "see solution" instead of submitting an answer) (As the op i can't upload it as an Answer, so i am leaving it here in my edited question).
108ft is the length of the of the guy wire
Similar trianglesTriangles are known to be similar if the ratio of the similar sides of the triangle are equal.
From the given diagram, we need to determine of the guy wire. Using the similarity theorem of a triangle;
8/2 = l/25+2
8/2 = l/27
2l = 8 * 27
l = 4 * 27
l = 108 ft
Hence the length of the of the guy wire, to the nearest foot is 108ft
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how to write a quadratic function in standard form y = 4 (x-1)^2 + 5
What is the area of the parallelogram?
396 ft2
four hundred ten and five-eights ft2
792 ft2
eight hundred twenty-one and one-fourth ft2
how to convert 139 lbs to kg?
The converted values of 139 pounds to kilograms in standard form is equal to 63.0493 kilograms.
Scale factor used to convert pounds to kilograms is equal to :
One pounds is equal to 0.453592 kilograms.
Pounds and kilograms both are standard unit to measure mass.Now convert pounds to kilogram by substituting the value in standard form we get,
⇒ 139 pounds = ( 139 ) multiply to ( 0.453592 ) kilograms
⇒ 139 pounds = 139 × 0.453592 kilograms
⇒ 139 pounds = 63.049288 kilograms
⇒ 139 pounds = 63.0493 kilograms
Therefore, the using standard scale factor to convert 139 pounds to kilograms is equal to 63.0493 kilograms.
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