Which describes the intersection of the plane and the solid? a: triangleb: rectanglec: parallelogram d: trapezoid
Answers
The solid being referred to is a cuboid and the plane that intersects it creates a triangular shape, then the intersection of the plane and the solid would be described as Triangle. Option A is the correct answer.
If a cuboid is being sliced by a plane that creates a triangular shape within the solid, then the intersection of the plane and the solid would take the form of a triangle.
However, it's important to note that this answer only applies to the specific scenario in which a cuboid is being sliced and the resulting intersection appears triangular.
In general, the intersection of a plane and a solid could take on a variety of shapes, including rectangles, parallelograms, or trapezoids, depending on the specific solid and plane in question.
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Related Questions
Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is offering a $10 off coupon. The sales tax is 6% on either purchase. If Shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over? Shona can afford the rug in store A. She will have $2. 93 left over. Shona can afford the rug in store B. She will have $1. 84 left over. Shona can afford the rug in store B. She will have $2. 93 left over. Shona can afford the rug in store A. She will have $1. 84 left over.
Answers
Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number. The Shona can afford the rug in store B. She will have $1. 84 left over.
Given information-
Store A has the rug for $45 with a 10% discount.
Store B has the same rug for $46 and is offering a $10 off coupon.
The sales tax is 6%.
Total money is $40.
Percentage
Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number.
a) The price of the rug at store A,
The price of the rug at store A after the 10 percent discount,
\(Pa=45-\dfrac{45}{100}\times10\)
\(P_a=45-4.5\)
\(P_a=40.5\)
The price of the rug at store A after the 10 percent discount is 40.5. The price of the rug at store A after the 6 percent sales tax.
\(P_a=40.5+\dfrac{40.5}{100} \times6\)
\(P_a=42.93\)
b) The price of the rug at store B,
The price of the rug at store B after the $10 off coupon
\(Pa=46-10\)
\(P_a=36\)
The price of the rug at store A after the $10 off coupon is 35. The price of the rug at store B after the 6 percent sales tax.
\(P_a=36+\dfrac{36}{100} \times6\)
\(P_a=38.16\)
Thus Shona buy rug from the store B.
The money she will left over,
\(=40-38.16=1.84\)
Thus the Shona can afford the rug in store B. She will have $1. 84 left over.
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In 1895 , the first a sporting event was held. The winner's prize money was $140. In 2007 , the winner's check was $1,171,000. (Do not round your intermediate calculations.) Required: (a)What was the percentage increase per year in the winner's check over this period? (b)If the winner's prize increases at the same rate, what will it be in 2040?
Answers
The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.
To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:
Percentage Increase = (Final Value - Initial Value) / Initial Value * 100
a. Calculating the percentage increase:
Initial Value = $140
Final Value = $1,171,000
Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%
b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.
Number of years = 2040 - 2007 = 33 years
Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33
Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69
Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.
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It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?
Answers
Answer:
6.24
Step-by-step explanation:
13 * .48
.2 is what percent of 16
Answers
Janet makes $4.50 an hour for her first hour of work, $7.00 for her second hour, $9.50 for her
third hour and so on. How much money will she earn on her 15h hour of work?
Answers
Answer:$
$39.50 by the 15th hour
Step-by-step explanation:
2+2.50x=y
2+2.50(15)=39.50
A property currently valued at 450,000 expected to appreciate 8% each year for the next three years what will be its appreciate in value at the end of this period?
Answers
Answer:
$566870.4
Step-by-step explanation:
We are told in the question that:
A property currently valued at 450,000 expected to appreciate 8% each year for the next three years.
It's appreciated value after 3 years is calculated as:
Appreciated value = Current value ( 1 + rate of appreciation)^t
Current value = $450,000
Rate = 8% = 0.08
Time = 3 years
Appreciated value = $450,000( 1 + 0.08)³
$450,000 × (1.08)³
Appreciate value = $566870.4
Solving equations using elimination or substitution y = -8x2x + 4y = 0
Answers
We need to solve the following system of equations:
\(\begin{gathered} y=-8x \\ 2x+4y=0 \end{gathered}\)We can use the substitution method. The first equation gives us an expression of y dependent on x. We can take the second equation and replace y by that expression so we obtain an equation with only one variable:
\(\begin{gathered} 2x+4y=0 \\ 2x+4\cdot(-8x)=0 \\ 2x-32x=0 \\ (2-32)x=0 \\ -30x=0 \end{gathered}\)Then we divide both sides by -30:
\(\begin{gathered} \frac{-30x}{-30}=\frac{0}{-30} \\ x=0 \end{gathered}\)So we have found that x=0. We use this value in the expression of y:
\(y=-8x=-8\cdot0=0\)So we have x=0 and y=0.
AnswerThen the answer is (0,0).
inverse of f(x)=50000(0.8)^x
Answers
Answer:
Step-by-step explanation:
For which mapped relation is the domain ?
Answers
Answer:
C.
Step-by-step explanation:
For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.
The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.
The correct answer is C.
Hope this helps!
Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet
released. The kite is 75 feet above her. The angle of the string and her hand is forming a 28° angle. Will she
be able to win the competion. Show your work.
Answers
Marcella would not be able to win the competition because the length of her string is 159.75 feet which is less than 162 feet need to win.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.
Let l represent the length of the string, hence:
sin(28) = l / 75
l = 159.75 feet < 162 feet
Marcella would not be able to win the competition because the length of her string is 159.75 feet which is less than 162 feet need to win.
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Put your answer as a reduced fraction.
Solve.
y/-8 = 1/16
y =
Answers
Hey there!☺
\(Answer:\boxed{y=\frac{-1}{2}}\)
\(Explanation:\)
\(\frac{y}{-8}=\frac{1}{16}\)
In our first step, we will use the cross multiply method:
\(\frac{y}{-8}=\frac{1}{16}\\ y*(16)=(1)*(-8)\\16y=-8\)
In our second/last step, we will divide both sides by 16:
\(\frac{16y}{16}=\frac{-8}{16}\\y=\frac{-1}{2}\)
Hope this helps!☺
Answer:
Step-by-step explanation:
16y = -8
y = -8/16
y = -1/2
Jasmine has $700 in her checking account at the beginning of the school year at college. She
predicts that she will need $30 a week for food and traveling expenses. She wants to have at least
$250 in her account. For how many weeks can she withdraw money from her account?
Answers
Answer:
15 weeks
Step-by-step explanation:
Answer:
15 Weeks
Step-by-step explanation:
Let's Begain
starts with $700
she will need $30 per week
Wants atleast $250 left in her account
700 - 250 = 450/30= 15
True or False: Suppose you are interested in estimating following SLR model: Further suppose that is your estimate of that you generated using a supposedly brand new estimation method called Extraordinary Least Squares (ELS). The sampling distribution for is equal to the true 50% of the time. This new estimate of using ELS is unbiased.
Answers
False. If the sampling distribution for is equal to the true value only 50% of the time, the estimate generated using ELS is not unbiased.
The statement is contradictory.
1. The sampling distribution for is equal to the true value 50% of the time: This means that when you repeatedly sample from the population and estimate using ELS, only 50% of the estimates will equal the true value. In other words, the ELS estimation method is inconsistent because it provides accurate estimates only half of the time.
2. This new estimate of using ELS is unbiased: Unbiasedness refers to the property of an estimation method where, on average, the estimates obtained are equal to the true value. However, if the sampling distribution for is equal to the true value only 50% of the time, it means that the estimates, on average, deviate from the true value. In other words, the ELS estimate is biased because it consistently tends to overestimate or underestimate the true value, resulting in an average deviation from the true value.
In summary, if the sampling distribution for is equal to the true value only 50% of the time, the estimate generated using ELS is not unbiased.
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ANSWER QUICK PLEASE I HAVE A FEW MINUTES LEFT a rock is sitting at the top of a hill that is 21 m high. The rock weighs 12 n. calculate the rocks potential energy
Answers
Answer:
the answer is 252
Step-by-step explanation:
was my answer wrong? it got deleted
Decide whether the underlined phrase is correct or incorrect as written.
Necesito una bolígrafo.
Answers
Answer:
The phrase Necesito una bolígrafo is correctly written.
Step-by-step explanation:
Necesito una bolígrafo is a spanish phrase
The word for word English Translation is:
Necesito: Need
Una: a
Bolígrafo: Pen
Therefore, the phrase translates to: "I need a pen"
Brody is working two summer jobs, making $20 per hour lifeguarding and making
$10 per hour washing cars. In a given week, he can work at most 10 total hours and
must earn a minimum of $120. If x represents the number of hours lifeguarding and
y represents the number of hours washing cars, write and solve a system of
inequalities graphically and determine one possible solution.
Answers
The inequality is:
y ≤ -x+10
y ≥ -2x+12
Given, Brody is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour washing cars.
In a given week, he can work at most 10 total hours and must earn a minimum of $120.
let x represents the number of hours lifeguarding and
y represents the number of hours washing cars.
we are asked to write and solve a system of inequalities graphically and determine one possible solution.
the inequalities framed are:
x +y ≤ 10
⇒ y ≤ -x + 10
20x + 10y ≥ 120
⇒ 2x + y ≥ 12
⇒ y ≥ -2x + 12
Hence the graph is framed.
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Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answers
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
Which of the following statement/s is/are correct? I. A statistic can never be larger than a parameter II. A statistic can never be equal to zero III. A statistic can never be smaller than a parameter IV. A statistic can be calculated whereas a parameter can never be established V. A statistic can never be equal to a parameter A. I, II, III and IV B. V Only c. None of these D. IV and V E. IV Only
Answers
A statistic can never be larger than a parameter is not a correct statement. The correct statement among the following is as follows: IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.
Statistics and parameters are two fundamental concepts in statistical analysis. Both of these concepts are widely used in various researches and surveys.
A statistic is a numerical value that represents a particular characteristic of the sample and is used to estimate an unknown parameter. A parameter is a numerical value that represents a particular characteristic of a population.Statistics can be larger, smaller, or equal to parameters. A statistic is a value that is calculated from a sample, whereas a parameter is a value that represents a population characteristic and is estimated from the sample.A parameter can be established, but it is only possible if the entire population is considered for analysis. In contrast, a statistic is calculated from a sample of the population and represents only the characteristics of the sample.
:A statistic can never be larger than a parameter is not a correct statement. The correct statement is IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.
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suppose there are two candidates for elected office. explain how the facts that a) voting might not be compulsory and b) resources are needed to finance reelection campaigns affect the conclusions of the median voter model.
Answers
The fact that voting might not be compulsory will make the voter ranks the candidate as their proximity, and the median voter wins the vote
The fact that resources are needed to finance reelection campaigns will make the probability of the median voter be in danger
According to median voter model theorem, at-least there must be two candidates
Being that we have two candidates for elected office, let's see how the following may affect the conclusions of the median voter model:
Part a
Voting might not be compulsory:
Here, voter ranks the candidates as per as their proximity, and the median voter will win the vote.
Part b
Resources are needed to finance re-election campaign :
When resources are needed to finance reelection campaign, none can cast their votes and it will distort this strategy. So the probability of median voter is in danger.
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Please help!
Provide an appropriate response and show your work. Assume that the random variable X is normally distributed, with mean=90 and standard deviation=12. Compute the probability P(57 < X < 105).
Answers
The probability that X is between 57 and 105 is 0.8914.
How to solveGiven:
* X is normally distributed with mean=90 and standard deviation=12
* P(57 < X < 105)
Solution:
* Convert the given values to z-scores:
* z = (X - μ) / σ
* z = (57 - 90) / 12 = -2.50
* z = (105 - 90) / 12 = 1.25
* Use the z-table to find the probability:
* P(Z < -2.50) = 0.0062
* P(Z < 1.25) = 0.8944
* Add the probabilities to find the total probability:
* P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914
Therefore, the probability that X is between 57 and 105 is 0.8914.
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could someone please help me? thank you!
Answers
Answer:
B: Two rays
Step-by-step explanation:
with a common endpoint
Answer:
If there isn't a specific type of angle it is B.
Step-by-step explanation:
Hope this helps!! And just to be safe can you show more of the pic?
Factorizing by grouping
xy + 2x + 3y + 6
Answers
Answer:
(x+3)(y+2)
Step-by-step explanation:
(xy+2x)+(3y+6)
x(y+2)+3(y+2)
(x+3)(y+2)
which terms can be combined in the polynomial
Answers
Step-by-step explanation:
6x^2, and 9x^2 can both be combined
Nanu borrowed a certain sum at the rate of 10 % p.a. If she paid compound interest Rs. 1,290 at the end of two years compounded annually, find the sum of money borrowed by her.
Answers
Answer:
whats your answer please give
A population of 100 healthy women was recruited from the internal medicine practice at UT Southwestern Medical Center from June 1 – June 30, 2000 and followed for the development of breast cancer. Twelve women developed breast cancer after each was followed for 4 years. Ten women who remained healthy were followed for 2 years and then were lost to follow-up. Five women died of heart disease after 6 years of follow-up. These five women did not develop breast cancer. The remaining women remained healthy and were each followed for 10 years.
1- Calculate the number of person-years of observation that was accrued by this population.
2- Calculate the incidence rate and interpret your result in one sentence.
Answers
1. Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.
2. The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.
1- To calculate the number of person-years of observation, we need to consider the duration of follow-up for each individual and sum them up.
For the women who developed breast cancer:
12 women were followed for 4 years each, totaling 12 * 4 = 48 person-years.
For the women who remained healthy but were lost to follow-up:
10 women were followed for 2 years each, totaling 10 * 2 = 20 person-years.
For the women who died of heart disease:
5 women were followed for 6 years each, totaling 5 * 6 = 30 person-years.
For the remaining women who remained healthy and were followed for 10 years:
100 - 12 - 10 - 5 = 73 women were followed for 10 years each, totaling 73 * 10 = 730 person-years.
Total person-years of observation = 48 + 20 + 30 + 730 = 828 person-years.
2- The incidence rate can be calculated by dividing the number of new cases (12 women who developed breast cancer) by the total person-years of observation (828 person-years) and multiplying by a constant (e.g., 100,000) to express it per 100,000 person-years.
Incidence rate = (Number of new cases / Total person-years) * 100,000
Incidence rate = (12 / 828) * 100,000
Incidence rate ≈ 1,449.28 per 100,000 person-years.
Interpretation: The incidence rate of breast cancer in this population is approximately 1,449.28 cases per 100,000 person-years of observation.
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Look at where the diver started and where she is heading. She started at –5 and descended to –75. That means she dropped 70 feet more.
Answers
These two points on the number line describe that she descended by 70 units.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
She started at –5 and descended to –75.
On the number line, the difference between -75 and -5 is given as
= -5 - (-75)
= 70
Thus, these two points on the number line describe that she descended by 70 units.
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The equation for the volume of a cylinder is
V = r²h. The positive value of r, in terms of h
π
and V, is
V
Υπη
1) r=
2)
r=√√√Vah
3) r=2Vлh
V
4) r= 2π
Answers
R's positive value is \(\sqrt{\frac{v}{\pi h} }\) V =r²h in terms of h is the formula used to calculate the volume of a cylinder.
what is volume ?The object's capacity is another name for it. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. For instance, you can use "depth" instead of "height." The capacity of an object is expressed in terms of volume. A cup's capacity is said to be 100 ml, for instance, if it can hold 100 ml of water in its brim. The quantity of space a three-dimensional item takes up can also be referred to as volume.
given
Cylinder(volume )'s is equal to = \(\pi r^{2}h\)
where r = radius, h = height, and v = volume of the cylinder
⇒ \(r^{2} = \frac{v}{\pi h}\)
⇒ ±r = \(\sqrt{\frac{v}{\pi h} }\)
The problem states that only the positive value of r is necessary.
So, r = \(\sqrt{\frac{v}{\pi h} }\)
R's positive value is \(\sqrt{\frac{v}{\pi h} }\) V =r²h in terms of h is the formula used to calculate the volume of a cylinder.
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I need to step-by- step ways on how this is or isn’t a solvable equation. Please HELP
Answers
Answer:
it is a solvable equation
Step-by-step explanation:
(x + 2) -3(x - 4) = 6 and x = 4
if x = 4 then fill in all the x's with 4 so the equation is now:
(4 + 2) -3(4 - 4) = 6
Use PEMDAS
Now the equation is 6 - 3(0) = 6
-3 times 0 is 0 so it's 6-0=6
6 = 6
when you put the 4 in for the x variables and the numbers on both sides of the equal sign are the same it makes the equation true
hope this makes sense and hope it helps :)
A cylindrical container has a height
of 14 inches and radius of 3.2 inches.
It is filled with pasta, but there is
1.5 inches of space left at the top.
How many cubic inches of pasta are
in the container?
Answers
There are 402.28 in2 of pasta in the container.
The mathematical branch is known as algebra deals with symbols and the rules governing their manipulation. These characters, which are now expressed as Latin and Greek letters, stand for variables, or quantities without set values, in elementary mathematics.
Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division.
The radius of cylinder (r) = 3.2 inches
Height of cylinder (h) = 14 inches
Height of pasta = 14 – 1.4 = 12.5 inches
Pasta in container = 22/7*(3.2)2*12.5
=402.8 in2
Hence, the container carries 402.8 in2 of pasta in it.
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if z is a standard normal variable, find the probability that z lies between −2.41 and 0. round to four decimal places.
Answers
The probability that z lies between -2.41 and 0 is approximately 0.9911.
What is the probability of z falling within a specific range?To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.
In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.
Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.
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