What is the intersection of plane TUYX and plane VUYZ?
I have attached an image with the diagram and answers.
Answers
Answer:
A) UY
Step-by-step explanation:
From the given figure, TUYX is one of the side of the rectangular prism and UVYZ is another side of the rectangular prism.
The both sides are intersecting perpendicular in one edge, that is the line segment UY.
You can see it on the figure.
Therefore, the intersecting line is UY.
Related Questions
The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival.
Sinea- snacks $5/ games $8/ souvenirs $12
Ren- snacks $10/ games $8/ souvenirs $20
Suppose Sinea and Ren each spend $40 on snacks, and each person spends money using the same ratios as on their last trip. Who spends more on souvenirs? Explain
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Last trip: snacks $5/ games $8/ souvenirs $12
If she spends $ 40 on snacks =>
40/5 = 8
=> multiply the three number times 8 =>
5*8 / 8*8 / 12*8 = 40 / 64 / 96 and that adds up: 40 + 64 + 96 = 164
Ren
Last trip: snacks $10/ games $8/ souvenirs $20
If he spends $ 40 on snacks => 40 / 10 = 4
=> 10*4 / 8*4 / 20*4 = 40 / 32 / 80.
That adds up 40 + 32 + 80 = 152
So, Sinea spends more than Ren: 164 vs 152
What happens to the arrangement of water molecules as ice melts?
A. Molecules gain enough energy to escape as vapor.
B. Molecules release enough energy to escape as vapor.
C. Molecules release enough energy to move from their fixed positions.
D. Molecules gain enough energy to move from their fixed positions.
Answers
Exercise 26 proposes modeling iq scores with n(100, 16). what iq would you consider to be unusually high? explain.
Answers
Using the 95% confidence level factor (1-tail), which is approximately 1.65, then, any IQ that exceeds:
100 + 16*1.65 is higher than 95% of the population. I'd consider that unusually high.
What is 43,000 rounded to the nearest thousand
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43,000 rounded to the nearest thousand is 45,000.
192 beads to make a necklace and bracelet. 5 times as many beads to make a necklace than a bracelet. How many beads are used to make a the necklace?
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The Boardman family walked 2/5 of a mile in 2/7 of an hour. What is their unit rate in miles per hour? 20 points
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unit rate = 2/5 x 7/2
unit rate = 7/5
unit rate = 1.4
answer
1.4 miles per hour
The Boardman family's walking speed is 1.4 miles per hour, which is calculated by dividing the distance walked (2/5 mile) by the time it took (2/7 hour).
A unit rate defines how many units of the first type of quantity correspond to one unit of the second type of quantity. In this case, we need to find out how many miles they walk in one hour.
To calculate the unit rate, we divide the distance by the time. They walked 2/5 of a mile in 2/7 of an hour. Setting up the division, we have:
(2/5) miles / (2/7) hours = (2/5) × (7/2) miles per hour = 7/5 miles per hour
After simplifying, we get that the Boardman family's walking speed is 1.4 miles per hour.
The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 1 ft shorter than twice the Maple Street side. The Maple Street side is 8 ft shorter than half the Main Street side. The Main Street side is 206 ft. The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 1 ft shorter than twice the Maple Street side. The Maple Street side is 8 ft shorter than half the Main Street side. The Main Street side is 206 ft.
Part 1 out of 2
(a) Find the two unknown side lengths.
Maple Street is
ft.
Elm Street is
ft.
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We have found the least squares line for predicting coral growth y from mean sea surface temperature x to be y = 11.6921 − 0.30305x. (a) use the equation to obtain the seven residuals step by step. that is, find the prediction y for each observation and then find the residual y − y. (round your answers to three decimal places.)
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From the above equation putting the value of x. we get yhat and reducing it from actual value of y we will get residual
Therefore, as shown on the image below,
The perimeter of a rectangle is 42 cm. The longer side has length of 7 cm more than the shorter side. Find the length of longer side
Answers
2L+2W=42
Let's say the longer side is the length.
L=W+7
Let's plug that in for L.
2(w+7)+2w=42
2w+14+2w=42
Add like terms.
4w+14=42
Subtract 14 from both sides.
4w=28
Divide.
28÷4=7=W
The shorter side is 7, which means the longer side is 14 cm.
f(x)=x^4+7x^3+13x^2-3x-18
Answers
If so. I hope this helps!
Apply the sum difference rule > d/dx(x^4) + d/dx(7^3) + d/dx(13x^2) - d/dx(3x) - d/dx(18)
For d/dx(x^4), d/dx(7^3), d/dx(13x^2), d/dx(3x), and d/dx(18). We want to take the constant out and the apply the power rule of [tex] \frac{d}{dx} (x^a) = a * x^{a - 1}[/tex]
d/dx(x^4) > [tex]4x^{4 - 1} \ \textgreater \ 4x^3[/tex]
d/dx(7^3) > [tex]7 \frac{d}{dx} (x^3) \ \textgreater \ 7 * 3x^{3 - 1} \ \textgreater \ 21x^2[/tex]
d/dx(13x^2) > [tex]13 \frac{d}{dx} (x^2) \ \textgreater \ 13 * 2x^{2 - 1} \ \textgreater \ 26x[/tex]
d/dx(3x) > [tex]3 \frac{d}{dx} (x) \ \textgreater \ 3 * 1 \ \textgreater \ 3[/tex]
d/dx(18) > [tex]Deriv OFconstant \ \textgreater \ \frac{d}{dx}(a) = 0 \ \textgreater \ 0 [/tex]
Now we can combine these all.
[tex]4x^3 + 21x^2 + 26x - 3 - 0 \ \textgreater \ Simplify \ \textgreater \ 4x^3 + 21x^2 + 26x - 3[/tex]
Therefore our final answer is
[tex]4x^3 + 21x^2 + 26x - 3[/tex]
solve for x:
4/x-3 + 2/x^2-9 = 1/x+3
a. -17/3
b.13/3
c.19/3
d.-5
Answers
[tex]\dfrac{4(x+3)}{(x+3)(x-3)}+\dfrac2{x^2-9}=\dfrac{x-3}{(x+3)(x-3)}[/tex]
[tex]\dfrac{4x+12}{x^2-9}+\dfrac2{x^2-9}=\dfrac{x-3}{x^2-9}[/tex]
[tex]\dfrac{4x+12+2-(x-3)}{x^2-9}=0[/tex]
[tex]\dfrac{3x+17}{x^2-9}=0[/tex]
[tex]3x+17=0\implies x=-\dfrac{17}3[/tex]
Course hero from a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. in how many ways can it be done?
Answers
[tex]7C3\times6C2+7C4\times6C1+7C5=756[/tex]
The answer is there are 756 ways.
how much smaller is the value of the 5 in 57,800 than the value of the 5 in 526,300
Answers
Hope this helps!
What effect does increasing the sample size have on a distribution of sample means?
Answers
If the number of samples is increased, this actually leads to a reduction in error of the distribution. This is because of the relationship between variation and sample size which has the formula of:
σx = σ / sqrt (n)
So from the formula we can actually see that the variation and sample size is inversely proportional.
Which means that increasing the sample size results in a reduction of variation.
Answer:
It will have less variation
Increasing the sample size causes the confidence interval to narrow, decreases the standard deviation, and makes the sample mean distribution more normal. This leads to more accurate and reliable estimates of the population parameters.
Explanation:The effect of increasing the sample size in a distribution of sample means primarily involves the confidence interval, the standard deviation, and the progress towards a normal distribution.
Firstly, increasing the sample size reduces the error bound, leading to a narrower confidence interval. This means that the calculated mean is likely to be more accurate representation of the true population mean.
Secondly, as the sample size increases, the standard deviation, which is a measure of spread or dispersion in the data, decreases. So, larger sample sizes result in lesser variability.
Finally, per the central limit theorem, an increased sample size makes the distribution of sample means get closer to a normal distribution, regardless of the population's initial distribution. This property is valid as long as the sample size is large enough (generally taken as 30 or more).
Thus, larger sample sizes tend to provide more accurate and reliable estimates of the population parameters.
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A person at ground level measures the angle of elevation to the top of a building to be 74 degrees. If at this point the person is 34 feet away from the base of the building, then how tall is the building? (Please round to the tenths place; please show work/steps and provide units with your answer) WILL GIVE BRAINIEST
Answers
to find the height of the building multiply the distance ( 34 feet) by the tangent of the angle(74)
34 * tan(74) = 118.57 feet
34 * tan(74) = 118.57 feet
Hope this helps
Determine the intercepts of the line. 7x-5=4y-6/7x−5=4y−6
Answers
Answer:
x.(-1/7,0)
y.(0,1/4)
Step-by-step explanation:
An m-bit password is required to access a system. a hacker systematically works through all possible m-bit patterns. let x be the number of patterns tested until the correct password is found. find the conditional pmf of x given that the password has not been found after k tries
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Final answer:
The conditional pmf of x, the number of patterns tested until the correct m-bit password is found, given that the password has not been found after k tries, is uniformly distributed with 1/(2^m - k) for x = k+1, k+2, ..., 2^m.
Explanation:
The question deals with the topic of probability and specifically centers around the concept of a conditional probability mass function (pmf). Given that an m-bit password is systematically being guessed by a hacker and has not been found after k attempts, we need to find the conditional pmf of x, where x is the number of patterns tested until the password is found.
Since the password has not been guessed within the first k tries, the conditional probability is based on the remaining 2m - k possibilities. The distribution of x will be uniform because each subsequent attempt has an equal probability of being correct. The conditional pmf of x given that the password was not found after k tries is 1/(2m - k) for x = k+1, k+2, ..., 2m.
An athletic director pays $90 for 12 sun visors for the softball team. a. How much will the athletic director pay to buy 15 more sun visors?
Answers
90 / 12 = 7
$7.50 for a sun visor.
15 * 7.5 = 112.5
The athletic director needs to pay $112.5 to buy 15 more sun visors.
Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
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[tex]\bf \textit{ellipse, vertical major axis}\\\\ \cfrac{(x-{{ h}})^2}{{{ b}}^2}+\cfrac{(y-{{ k}})^2}{{{ a}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ ------\\ h=0\\ k=0 \end{cases} \\\\\\ \cfrac{(x-0)^2}{2^2}+\cfrac{(y-0)^2}{4^2}=1\implies \cfrac{x^2}{4}+\cfrac{y^2}{16}=1[/tex]
write three different equivalent expressions for the following expression:
16x^8
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Three different equivalent expressions for 16x^8 are [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2 \cdot x)^4 \cdot x^4 = (2x)^4 \cdot x^4 \][/tex], [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \][/tex], [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \cdot x^4 = 2^{4 + 4} \cdot x^{4 + 4} = 2^8 \cdot x^8 \][/tex].
Expressing [tex]\(16x^8\)[/tex] in three different equivalent forms:
1. Expanded Form:
[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2 \cdot x)^4 \cdot x^4 = (2x)^4 \cdot x^4 \][/tex]
2. Factored Form:
[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \][/tex]
3. Exponential Form with a Common Base:
[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \cdot x^4 = 2^{4 + 4} \cdot x^{4 + 4} = 2^8 \cdot x^8 \][/tex]
These expressions show the flexibility in representing the original expression using different algebraic manipulations. The key is to recognize patterns, use properties of exponents, and factor out common terms.
which one of the following items is an example of software
Answers
A software refers to a set of instructions which instruct a computer to do specific tasks. Computer software refers to all the information processed by the computer system, programs or data.
Mouse, keyboard and printer on the other hand are examples of computer hardware.
solve each inequality. Justify each step (y-) - 4 + 2y > 11
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Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium must hold 256 ft^3 of water. What dimensions should they use to create an acceptable aquarium with the least amount of glass?
Answers
Write an expression for the area of the aquarium's glass sides and bottom.
256 ft^3 256 ft^3
A= W^2 + 4(W*H) = W^2 + 4*W*(------------- ) = W^2 + 4*-------------------
W^2 W
So now we have A(W), the area as a function of W alone.
We want to minimize this area. To do this, differentiate A(W) with respect to W and set the result = to 0. We want to determine the "critical numbers."
dA/dW = 2W - 1024*W^(-2) = 0
1024
Then 2W = ---------------
W^2
2W^3 = 1024, so W^3 = 512, and W = third root of 512 = 8
If W = 8 ft, then L = 8 ft also. Since L*W*H = 256 ft^3,
L*W*H = 256 ft^3 = (8 ft)^2*H = 256 ft^3. Then H = 4
The acquarium dimensions are 8 by 8 by 4 feet. This keeps the area of the aquarium to a minimum.
To solve the problem we must know about the volume and the surface area of cuboids.
The length of the aquarium is 4, and the width of the aquarium is 8.
Given to us
The aquarium must hold 256 ft^3 of water.We know that the base of the aquarium should be a square, therefore, the length and the breadth of the aquarium will be the same.
Volume of the AquariumLength x breadth x height = 256 ft³
Length x Length x height = 256 ft³
Length ² x height = 256 ft³
[tex]L^2\times H = 256\\\\H = \dfrac{256}{L^2}[/tex]
Surface Area of the AquariumSurface Area of the Aquarium
= Area of the base + (4 x Area of the 4 sides)
[tex]= L^2 + 4(L\times H)[/tex]
Substituting the value of H,
[tex]= L^2 + 4L(\dfrac{256}{L^2})[/tex]
Length of the AquariumLet the surface area be a function of L, therefore,
[tex]f(L) = L^2 + 4L(\dfrac{256}{L^2})[/tex]
Differentiating the function to get the minimum,
[tex]f(L) = L^2 + 4L(\dfrac{256}{L^2})\\\\f(L) = L^2 + (\dfrac{1024}{L})\\\\f'(L) = 2L - (\dfrac{1024}{L^2})[/tex]
Equating against zero,
[tex]2L - (\dfrac{1024}{L^2}) = 0\\\\\dfrac{2L^3-1024}{L^2} = 0\\\\2L^3-1024 = 0\\\\L = 8[/tex]
Substituting the value of L,
[tex]H = \dfrac{256}{L^2}\\\\H = \dfrac{256}{8^2}\\\\H = 4[/tex]
But this way the area will be more, therefore, replace the value of L with 8,
L = 4
H = 8
Hence, the length of the aquarium is 4, and the width of the aquarium is 8.
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the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8. what is the value of w
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y-k = m(x-h), where (h,k) is any point on the line.
Suppose we first focus on the given point (-10,4). Let (h,k) = (-10,4).
Then y-k = m(x-h) becomes y-4 = m(x-[-10])
The other point is (-6,w), where w is the unknown we must determine.
w-4 = (1/8)(-6+10). Find w:
Mult both sides by 8 to remove the fraction 1/8:
8w-32 = -6 + 10 = 4. Then 8w = 32+4 = 36. w = 36/8 = 4.5, or 9/2 (ans.)
The value of 'w' using the given slope is [tex]\frac{9}{2}[/tex]
Given :
the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8
apply slope formula
[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values given in the points and make it equal to 1/8
[tex]slope =\frac{4-w}{-10+6}=\frac{1}{8} \\\frac{4-w}{-4}=\frac{1}{8}\\(4-w)(8)=-4(1)\\32-8w=-4\\-8w=-4-32\\-8=-36[/tex]
Divide both sides by -8
[tex]w=\frac{-36}{-8} =\frac{9}{2}[/tex]
The value of 'w' is [tex]\frac{9}{2}[/tex]
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What is the mean of the following set of numbers?
{-7, 23, -5, 4}
A. 3.75
B. 9.75
C. -9.75
D. -3.75
Answers
the mean is the average
-7+23 -5 +4 = 15
15 / 4 = 3.75
Answer is A
To calculate the mean, we add all the numbers together and divide the answer by how many numbers there are.
✦ Step 1: Add -7 + 23 + (-5) + 4
✦ = 15
✦ Step 2: Divide 15 by the total amount of numbers. There are four numbers, so divide 15 with four.
✦ = 3.75
Answer: Letter A ✅
Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or post another question and send the link to me. -UnicornFudge aka Nadia
Give the angle measure represented by 2 rotations clockwise
Answers
the answer to Give the angle measure represented by 2 rotations clockwise. it's A. -720 on edge
A ballroom has a square dance floor. The area of the floor is 400 square feet. If the length of each side of the square increase by one foot, would its answer be a rational number?
Answers
The area of the square dance floor when each side is increased by one foot becomes 441 square feet. Since 441 is an integer, the new area is a rational number because it can be expressed as a fraction with a non-zero denominator.
The question pertains to the change in area of a square dance floor when each side of the square is increased by one foot. Given that the initial area is 400 square feet, we understand that the dimensions of the dance floor are 20 feet by 20 feet, since 20 * 20 = 400. If each side of the square increases by one foot, the new dimensions of the square will be 21 feet by 21 feet, resulting in a new area of 441 square feet.
To answer the question as to whether the new area is a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as the quotient or fraction of two integers, with a denominator that is not zero. Given that 441 is an integer, and the area can be written as 441/1, the new area of the dance floor is indeed a rational number.
What are the solutions of 2x2 + 8x = −26
Answers
4+8x=-26
and 8x=-26-4
so 8x=-30
and we divide by 8 and x=-30/8=-15/4
Have fun
The length of a rectangle is one unit shorter than one-sixth of the width, x. Which expression represents the perimeter of the rectangle? 7/3x−2 1/3x−4 1/3x−2 7/3x−8
Answers
Length: 1/6x-1
Perimeter
=x+x+1/6x+1/6x-1-1
=14/6x-2
=7/3x-2
Answer: [tex]\dfrac{7}{3}x-2[/tex]
Step-by-step explanation:
Let x be the width of the rectangle , then the length of the rectangle will be :_
Length = [tex]\dfrac{1}{6}x-1[/tex]
We know that the perimeter of a rectangle is given by :-
[tex]P=2(l+w)[/tex]
Substitute the value of length and width we get,
[tex]P=2(\dfrac{1}{6}x-1+x)[/tex]
Combine like terms, we get
[tex]P=2(\dfrac{1+6}{6}x-1)\\\\\Rightarrow\ P=2(\dfrac{7}{6}x-1)\\\\\Rightarrow\ P=2\times\dfrac{7}{6}x-2\times1\\\\\Rightarrow\ P=\dfrac{7}{3}x-2[/tex]
Hence, the expression represents the perimeter of the rectangle : [tex]\dfrac{7}{3}x-2[/tex]
Translate the following problem to an equation. Do not solve.
55 times what number is 1265?
Choose the correct equation.
A) 55 dot x=1265
B) 23
C) 55/ x=1265
D) 55 dot 1265= x
Answers
"what number" is x
So therefore, it would be A, 55 * x = 1265
The translation of the statement '55 times what number is 1265?' into an equation is '55 * x = 1265', which, with 'dot' finding use as multiplication, matches with the provided option A) 55 dot x = 1265.
Explanation:The question asks for the translation of the problem statement into an equation. The phrase '55 times what number is 1265?' implies multiplication. Specifically, 55 is being multiplied by an unknown number (which we can denote by 'x'), and the result of this multiplication is 1265. Therefore, the correct translation of this problem into an equation would be 55 * x = 1265 or in the provided options A) 55 dot x = 1265 where 'dot' indicates multiplication.
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