Answer:
50 feet
Step-by-step explanation:
The two triangles are congruent so KL=UV which means KL must equal 50 ft
calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14
Answer: The volume(v) is 438.77.
Explanation: The formula for a right circular cone is in the image.
Which decimal is greater than 3.18?
A) 3.08
B) 3.32
C) 3.12
D) 2.88
Answer:
hello
3.32 > 3.18
Step-by-step explanation:
PLEASEEE HELP ILL GIVE BRAINLIEST btw there are 2 attachments so u could see all the answer choices
Answer:
1) C
Step-by-step explanation:
Step 1)
First we have to plot ↓
2x ≥ y + 2
And that looks like Image 1
Step 2)
Second we have to plot ↓
2x - 5y ≤ 10
and that looks like Image 2
Pala says that she can draw an array with a total of 17 counters placed in 3 rows is she correct? if she is draw the array. if she is not, explain why not.
She cannot draw an array of 17 counters with three rows.
How to determine the true statement?The given parameters are:
Counter = 17
Rows = 3
An array is represented as:
Array = Rows * Columns
Where Rows and Columns are integers greater than 0
So, we have
3 * Column = 17
Divide by 3
Column = 5.667
Recall that Rows and Columns are integers greater than 0
This means that she cannot draw an array of 17 counters with three rows.
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Malik wants to make a cubic frame using a piece of wire with a length of 150cm.If the volume of the cube is 2197 cm cube , is the length of the wire sufficient? Give a reason for your answer
Answer:
Yes, the wire is sufficient for making a cube of volume 2197 cm³
Step-by-step explanation:
Volume of cube = L³
Volume of the cube = 2197 cm³
Length of the wire = 150 cm
Let's see if the wire is sufficient for making a cube.
Volume of the cube that could be made from the wire is:
V = (L)³
V = (150)³
V = 3,375,000 cm³
So,
The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.
That is why, the wire is sufficient for making a cube of volume 2197 cm³.
I accidentally posted this without the picture but please answer
Answer:
i think its A sorry if wrong
Step-by-step explanation:
Sarah measured her square garden to have an area of 122 ft 2 . How long is one side of Sarah’s garden?
Answer:
30.5 ft squared
Step-by-step explanation:
First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.
If you need more help or explanation, follow up in the comments below. :PRe-write the statement 16 + 5/2-1 + 6 by including two pairs of brackets
to make the total value equal to 3.
I'm really serious right now. I really need help this is due in 20 mins.
Answer:
A is the right anwser and the most reasonable.
Step-by-step explanation:
Answer: why did u wait till last minute
Step-by-step explanation:
Astronauts for nasa must measure between 62 and 75 inches tall. Which equation best represents the minimum and maximum heights accepted for nasa astronauts?.
The minimum and maximum heights accepted for NASA astronauts are 62 inches and 75 inches, respectively. These values can be represented by the following equation: 62 <= height <= 75
This equation can be read as "the height must be greater than or equal to 62 inches and less than or equal to 75 inches."
Alternatively, you can represent the minimum and maximum heights using the following inequality:
62 < height < 75
This inequality can be read as "the height must be greater than 62 inches and less than 75 inches."
Either of these equations can be used to represent the minimum and maximum heights accepted for NASA astronauts.
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2. A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 5 feet long.
What is the height of the pole?
14 feet
17 feet
12.5 feet
6 feet
Answer:
14
Step-by-step explanation:
5-6=1
15-1=14
what is the probability of having four girls in a row?
Answer:
21 or 10
Step-by-step explanation:
I
Need to get myself together, I'm a mess
In Bikini Bottom, I'm with Sandy
Moesha keep on drinkin' all the brandy
Keisha eat the molly like it's candy
Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?
Answer:
Service B
Step-by-step explanation:
Beacuse it is taking less money
Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45. 20 per person. Determine how many people can go kyacking
The calculated number of people that can go kyacking is 6
How to determine how many people can go kyackingFrom the question, we have the following parameters that can be used in our computation:
Amount spent = $341
Parking = $30
Paddles = $45.20 per person
Represent the number of people with x
So, we have
Paddles = 45.2x
The above means that
Amount = 30 + 45.2x
So, we have
30 + 45.2x = 341
Subtract 30 from both sides
45.2x = 311
Divide both sides by 45.2
x = 6.88
So, we have
x = 6 (remove decimal)
Hence, the number of people that can go kyacking is 6
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At Paco’s Pizza Shop, a large pizza has a diameter of 16 inches. A small pizza has a diameter of 12 inches. What is the area of the small pizza? What is the area of the large pizza? Round to the nearest tenth.
Please Help! What is the ratio of a:b?
a+3b/5 = a-2b/2
The ratio of a : b in the given expression is 16:3 .
In the question ,
it is given that
the algebraic expression is (a+3b)/5 = (a-2b)/2
we have to find the ratio of a:b ,
in order to find the ratio,
we cross multiplying ,
On cross multiplying , we get
2 * (a+3b) = 5 * (a-2b)
2a + 6b = 5a - 10b
5a - 2a = 10b + 6b
3a = 16b
dividing both sides by b ,
a/b = 16/3
a:b = 16:3
Therefore , The ratio of a : b in the given expression is 16:3 .
The given question is incomplete , the complete question is
What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2 ?
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Consider the following model: yi = β0 + β1xi + ui
Where E(ui |xi) = 0 and Var(ui |xi) = σ^2xi^2
1. Is the OLS estimator of β1 still unbiased? Show your proof.
2. Derive Var(βˆ 1|x), what kind of problem do we face here?
3. Propose a new estimator to correct the above problem.
The OLS estimator of β1, denoted as βˆ1, is still unbiased. It is calculated using the formula:
βˆ1 = Σ(xi - x)(yi - y) / Σ(xi - x)^2 = Σ(xi - x)yi / Σ(xi - x)^2
Here, xi represents the ith observed value of the regressor x, x is the sample mean of x, yi is the ith observed value of the dependent variable y, and y is the sample mean of y. The expected value of the OLS estimator of β1 is given by:
E(βˆ1) = β1
Therefore, the OLS estimator of β1 remains unbiased.
The variance of the OLS estimator, denoted as Var(βˆ1|x), can be derived as follows:
Var(βˆ1|x) = Var{Σ(xi - x)yi / Σ(xi - x)^2|x} = 1 / Σ(xi - x)^2 * Σ(xi - x)^2 Var(yi|x) = σ^2 / Σ(xi - x)^2
In this problem, there is heteroscedasticity, which means that Var(ui|xi) is not constant.
To address the issue of heteroscedasticity, the Weighted Least Squares (WLS) estimator can be used. The WLS estimator assigns a weight of 1 / xi^2 to each observation i. The formula for the WLS estimator is:
βWLS = Σ(wi xi yi) / Σ(wi xi^2)
Here, wi represents the weight assigned to each observation.
The expected value of the WLS estimator, E(βWLS), is equal to the OLS estimator, βOLS, which means it is also unbiased for β1.
The variance of the WLS estimator, Var(βWLS), is given by:
Var(βWLS) = 1 / Σ(wi xi^2)
where wi = 1 / Var(ui|xi), taking into account the heteroscedasticity.
The WLS estimator is considered more efficient than the OLS estimator because it incorporates information about the heteroscedasticity of the errors.
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stephan is reviewing the data on product returns for an online retailer. thus far, 3.5% of all sold units were returned. if stephan takes 200 sold unit records, what is the probability that at most 6 units were returned?
3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
Given that,
For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.
We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.
From binomial,
Binomial to normal approximations without continuity factor Sample size ,
n = 200
Probability of an event of interest,
p = 0.035
P(0<=n<=2)
=0.7323
Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5). Which shows the triangle when it is translated two units left? Group of answer choices On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)
The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)
To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.
So, let's apply this transformation to each point.
The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).
The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).
The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).
These new coordinates give us the vertices of the triangle after it has been translated two units to the left.
Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).
This is the second option in the answer choices given.
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100 POINTS AND WILL GIVE BRAINLIEST!!!
what is 3 - 5 written as a decimal? :3
example : 1 - 5 = 0.2
Answer:0.6
Step-by-step explanation: 4 divided by 5 = 0.6
please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated
Answer: 3/5 as a decimal is 0.6
Answer: 3/5 as a decimal is 0.6Let us see how to convert 3/5 to a decimal using two methods.
Answer: 3/5 as a decimal is 0.6Let us see how to convert 3/5 to a decimal using two methods.Explanation
Answer: 3/5 as a decimal is 0.6Let us see how to convert 3/5 to a decimal using two methods.ExplanationMethod 1: How to write 3/5 as a decimal using the division method?Step 1: To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Step 2: Here, the fraction is 3/5 which means we need to perform 3 ÷ 5
Step 3: This gives the answer as 0.6. So, 3/5 as a decimal is 0.6
Method 2: How to write 3/5 as a decimal by converting the denominator to powers of 10?Step 1: Find a number that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on. In this case, if we multiply the denominator by 2 it becomes 10. Therefore, we will multiply both the numerator and the denominator by 2 which will make it 3/5 = (3 × 2) / (5 × 2) = 6/10
Step 2: After multiplying both numerator and denominator by that number, we have converted it into its equivalent fraction.
Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6
Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6Irrespective of the methods used, the answer to 3/5 as a decimal number will always remain the same. Therefore, now we know what is 3/5 in decimal form.
Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6Irrespective of the methods used, the answer to 3/5 as a decimal number will always remain the same. Therefore, now we know what is 3/5 in decimal form.Thus, 3/5 as a decimal is 0.6
Find the global maximizers and minimizers (if they exist) for the following functions and the constraint sets. Show your working clearly. (i) f(x) = 4x²+1/4x, S=[1/√5,[infinity]] (2 marks) ii) f(x) = x^5 – 8x^3, S =[1,2] (2 marks)
Therefore, the global minimum of f(x) on S is at \(x = 1/\sqrt{5\)and the global maximum does not exist. And the global minimum of f(x) on S is at x = 2 and the global maximum is at x = 1.
What is function?A function is a relationship between a set of inputs (called the domain) and a set of outputs (called the range) with the property that each input is associated with exactly one output. In other words, a function maps each element in the domain to a unique element in the range.
Functions are commonly denoted by a symbol such as f(x), where x is an element of the domain and f(x) is the corresponding output value. The domain and range of a function can be specified explicitly or can be determined by the context in which the function is used.
(i) To find the global maximizers and minimizers of the function f(x) = 4x²+1/4x on the interval S=[1/√5,[infinity]], we first need to find the critical points of f(x) within S.
Taking the derivative of f(x) with respect to x, we get:
f'(x) = 8x - 1/4x²
Setting f'(x) = 0 to find critical points, we get:
8x - 1/4x² = 0
Multiplying both sides by 4x², we get:
32x³ - 1 = 0
Solving for x, we get:
x = 1/∛32 = 1/2∛2
Note that this critical point is not in the interval S, so we need to check the endpoints of S as well as any vertical asymptotes of f(x).
At x = 1/√5, we have:
f(1/√5) = 4(1/5) + 1/(4(1/√5)) = 4/5 + √5/4
At x → ∞, we have:
Lim x→∞ f(x) = ∞
Therefore, the global minimum of f(x) on S is at \(x = 1/\sqrt5\) and the global maximum does not exist.
(ii) To find the global maximizers and minimizers of the function\(f(x) = x^5 - 8x^3\) on the interval S=[1,2], we first need to find the critical points of f(x) within S.
Taking the derivative of f(x) with respect to x, we get:
\(f'(x) = 5x^4 - 24x^2\)
Setting f'(x) = 0 to find critical points, we get:
\(5x^4 - 24x^2 = 0\)
Factoring out \(x^2\), we get:
\(x^2(5x^2 - 24) = 0\)
Solving for x, we get:
\(x = 0 or x =±\sqrt(24/5)\)
Note that none of these critical points are in the interval S, so we need to check the endpoints of S.
At x = 1, we have:
\(f(1) = 1 - 8 = -7\)
At x = 2, we have:
\(f(2) = 32 - 64 = -32\)
Therefore, the global minimum of f(x) on S is at x = 2 and the global maximum is at x = 1.
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Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
write the equation of a line that is perpendicular to the line y=-3/4x+3 and passes through the point (3,7). Write your answer in BOTH point-slope form and slope-intercept form
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - \(\frac{3}{4}\) x + 3 ← is in slope- intercept form
with slope m = - \(\frac{3}{4}\)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then
y = \(\frac{4}{3}\) x + c ← is the partial equation
To find c substitute (3, 7 ) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = \(\frac{4}{3}\) x + 3 ← in slope- intercept form
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = \(\frac{4}{3}\) and (a, b ) = (3, 7 ) , then
y - 7 = \(\frac{4}{3}\) (x - 3) ← in point- slope form
If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the following could accurately represent f and g?
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of the quantity 4 times x plus 3 end quantity
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of 2
f (x) = 8x + 6 and g of x is equal to the square root of x
f of x is equal to the square root of x and g(x) = 8x + 6
The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
The functions for this problem are defined as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.As the composition of the functions is then given as follows:
\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)
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Round 4.9451 to the nearest thousandths
Answer:
49.451 this would be the answer
Answer:
4.3700
Step-by-step explanation:
which expression represents the quotient of d and 11
Answer: :} where is the rest of the question
Step-by-step explanation:
what if you were not restricted to using just rectangles to fill up the space between the curve and the x-axis? suggest a different geometric shape that you think might give us a more accurate estimate for this area? justify why you think your new geometric shape would yield a more accurate result.
If you were not restricted to using just rectangles to fill up the space between the curve and the x-axis, a different geometric shape that might give a more accurate estimate for this area is a trapezoid.
Using trapezoids would likely yield a more accurate result because they can better approximate the curve's shape.
Here's a step-by-step explanation of how using trapezoids can provide a more accurate estimate:
Divide the interval on the x-axis into equal subintervals.
In each subinterval, form a trapezoid by connecting the endpoints of the subinterval to the curve and then closing the shape by drawing a horizontal line from the curve to the x-axis
Calculate the area of each trapezoid using the formula: A = (1/2) * (base1 + base2) * height, where base1 and base2 are the lengths of the parallel sides of the trapezoid (the lengths along the x-axis and the curve), and the height is the length of the vertical line connecting the two bases (the width of the subinterval)
Sum the areas of all trapezoids to approximate the total area between the curve and the x-axis.
The reason trapezoids can provide a more accurate estimate is that they can closely follow the shape of the curve, especially when the curve is not a straight line. Since trapezoids have two different base lengths, they can better accommodate the changes in the curve's slope within each subinterval. This results in a closer fit to the curve compared to using rectangles, which can overestimate or underestimate the area depending on the curve's concavity.
Overall, using trapezoids for estimating the area under a curve can provide more accurate results, especially as the number of subintervals increases.
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Nikki dove into a pool and swam underwater the table shows how her depth changed during a 4 second time period which equation shows the relationship in the table between the time t,and depth d
Answer:
I think the answer is d = 1.5t
Step-by-step explanation:
Determine two angles between 0° and 360° that have a cosine of negative root3/2 without using a calculator
thank you so much
Answer:
150° and 210°
Step-by-step explanation:
1) to drow a circle with radius=1 in the system of coordinates like in the attached picture;
2) to mark point (-√3/2)≈-0.866 on X-axis (in the picture it is the point M);
3) to graph line AB through point M, the line AB || Y-axis and the points A and B are on the circle with radius=1;
4) to measure the angles ∠ROA and ∠ROB (the points are marked with red colour);
5) finally, m(∠ROA)=150°; m(∠ROB)=210°.
A trapezoid has an area of 156.45 square miles. One base is 7 miles long. The height measures 14.9 miles. What is the length of the other base