Answer:
x=12 the other answer is 144.
Step-by-step explanation:
You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144
an architect is drawing floor plans for a building using a scale of 1 cm to 2 m. he wants a room to be 12 meters long. how many centimeters should he show for the length of this room on the floor plans?
length on floor plan= cm
Answer:
6cm
Step-by-step explanation:
lenght of the room divided by the Number of meters a cm corrisponds to: 12/2=6cm
lenght on floor plan = 6 cm
Besides being simple for its own sake, what other advantage do simple models usually have?
a) Higher accuracy
b) Greater complexity
c) Easier interpretation
d) More detailed predictions
The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.
This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.
Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.
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Find the volume of the figure.
A pentagonal prism is shown. The base area is forty-three square millimeters and the height of the prism is fifteen millimeters.
Enter the correct answer in the box.
The volume of the pentagonal prism is 645 cubic millimeters.
We have,
The formula for the volume of a pentagonal prism is:
V = A x h
where A is the area of the pentagonal base and h is the height of the prism.
In this case, we are given the area of the base as 43 square millimeters and the height as 15 millimeters.
Therefore, we can calculate the volume as:
V = 43 x 15
V = 645 cubic millimeters
Therefore,
The volume of the pentagonal prism is 645 cubic millimeters.
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GIVING 20 POINTS! FOR CORRECT ANSWER!
What are all the missing angles?
Answer:
d = 90 degrees
e = 49 degrees
f = 131 degrees
Step-by-step explanation:
angle d is 90 degrees because adjacent angles add to 180 degrees, if the adjacent angle is right it is equal to 90 degrees, 180 - 90 is 90.
angle e is 49 degrees because opposite angles are equivalent.
angle f is 131 because adjacent angles add to 180 degrees, if the adjacent angle is 49, 180 - 49 is 131.
ruby company has an annual profit, in billions, that has a normal distribution with variance that is equal to the cube of its mean. the probability of an annual loss is 5%. calculate the company's expected annual profit.
Therefore, the expected annual profit of Ruby Company is 2.703 billion dollars using probability.
Let X be the annual profit of the company. We know that X follows a normal distribution with variance equal to the cube of its mean, i.e., Var(X) = (E[X])^3.
To find the expected annual profit, we need to find the mean of X, denoted as E[X].
We are given that the probability of an annual loss is 5%. This means that the probability of making a profit is 1 - 0.05 = 0.95.
Let Z be a standard normal random variable, then we have:
P(X < 0) = P((X - E[X]) / sqrt(Var(X)) < (0 - E[X]) / sqrt(Var(X)))
= P(Z < -E[X] / (E[X])^(3/2))
Since P(X < 0) = 0.05, we have:
0.05 = P(Z < -E[X] / (E[X])^(3/2))
Using a standard normal table or calculator, we can find that P(Z < -1.645) = 0.05, where -1.645 is the 5th percentile of the standard normal distribution.
Thus, we have:
-E[X] / (E[X])^(3/2) = -1.645
this equation, we get:
E[X]^(1/2) = 1.645
Taking the square of both sides, we get:
E[X] = 2.703
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Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
Answer:
Examine the diagram. It is not drawn to scale.
A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
In the diagram shown, m∠1 = 30° and m∠5 = 120°.
What is the sum of the measures of ∠4, ∠5, and ∠6?
✔ 360
degrees
Identify the following angle measures.
m∠2 =
✔ 60
degrees
m∠4 =
✔ 150
degrees
m∠6 =
✔ 90
degrees
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠4 = 180° (sum of angles in a straight line)
30 + m∠4 = 180°
m∠4 = 150°
m∠2 + m∠5 = 180° (sum of angles in a straight line)
120 + m∠2 = 180°
m∠2 = 60°
m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)
30 + 60 + m∠3 = 180°
m∠3 = 90
m∠3 + m∠6 = 180° (sum of angles in a straight line)
90 + m∠6 = 180°
m∠6 = 90°
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
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Sheryl has a Christmas lighting project. She is going
to put lights around the outside of 15 windows with
a height of 4ft and a width of 2ft. She also wants to
put lights around her 3 garage doors that are 9 feet
tall and 9 feet wide. How many feet of christmas
lights would be needed for this project?
And 288ft says it’s incorrect
Answer:
If hanging Christmas lights around the garage door is on your holiday to do list, make sure to do it right. Decorating shouldn't be a once-a-year activity that does permanent damage to your home or your body.
When it comes to hanging holiday lights around your garage door, use clips and hooks specifically designed for the task. Avoid using metal fasteners like staples or nails if you are attaching lights directly to the trim; the metal can damage the wiring and create a fire or electrocution hazard. Instead, clip the plastic fasteners to the light string and attach the plastic fasteners to your trim. This way the clips can remain throughout the year, and lights are more easy to hang in the holidays to come.
For the vertical runs, find the trim clips that wrap around the light string and hold it into place (this is particularly important for our Sioux City and Yankton breezes and blizzards). Aim for a clip every 12 inches or so. Some homeowners choose to nail the clips for stability; others use a removable adhesive.
If you are continuing to light up your house with lights around your roof and gutter lines, there are other items that can help make this process easier. Roof and gutter clips can be pressed directly onto the home's exterior; they typically have a hook at the bottom that grabs the light string. Please be very careful when working on high and precarious locations!
Answer:261
Step-by-step explanation:i don’t rlly know how to explain
Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.
Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Answer:
A well take least amount of time, and c well take the most.
Step-by-step explanation:
Pick the description of a geometric object that best matches the real-world object:
Box for a deck of cards
O a three-dimensional shape with two similar, parallel rectangular bases and sides that are parallelograms
O a three-dimensional shape with two similar, parallel triangular bases and sides that are parallelograms
a three-dimensional geometric shape with two parallel and circular bases and a curved side
o a three-dimensional figure in which all points on the surface are the same distance from the center
o a three-dimensional box-shaped figure, with six identical square faces
Athree dimensional shape with two similar, parallel rectangular bases and sides that are parallelogram" will be the correct option.
The box for a deck of cards will have a rectangular prism shape.
Two parallel rectangular bases, two sides that run parallel to one another along their width, and two similarly parallel rectangular sides running along their height make up a rectangular prism.
A rectangular prism has two parallel rectangular bases, 2 sides parallel to each other along width and 2 similar parallel rectangular sides along the height.
As a result, choice A, "a three-dimensional shape with two comparable, parallel rectangular bases and sides that are parallelograms," will work.
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if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then, p(b) =
The chance of the event B is 0.4 when using the probability for the two independent two event formula.
In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).
Events classified as independent do not depend on other events for their occurrence.
Event A's likelihood of happening is P(A)=0.65.
The likelihood of the two events A and B intersecting is P(A∩B)=0.26.
Given that the likelihood of the two independent events is:
P(A∩B) = P(A)⋅P(B)
Then the probability of the event B will be,
P(B) = P(A)/P(A∩B)
P(B) = 0.65/0.26
P(B) =0.4
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If a nine-day single payment loan has a periodic interest rate of 10.5%, what is
the approximate effective interest rate of the loan?
A. 56,356,3%
B. 5635.6%
C. 5735.6%
D. 57,356.3%
A hospital medical unit has 50 beds. During May, the unit provided 1,420 days of service. What was the average daily census for the medical unit in May
If a hospital medical unit has 50 beds and the unit provided 1,420 days of service, the average daily census for the medical unit in May is 28.4.
To find the average daily census for a medical unit in May, we divide the total number of days of service provided by the number of beds in the unit. Here's how we do it:
According to the question, Total number of beds = 50 and Total number of days of service = 1,420
Average daily census = Total number of days of service / Total number of beds
Average daily census = 1,420/50
Average daily census = 28.4
Therefore, the average daily census for the medical unit in May is 28.4.
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I need to know the approximate number of lunches that will be sold
First let's calculate the number of students who will buy lunch 5 times next week and it is given by:-
\(\begin{gathered} \frac{35}{100}\times500 \\ =35\times5 \\ =175 \end{gathered}\)So 175 students will buy lunch 5 times.
Similarly let's find number of students who will buy lunch 4 times
\(\begin{gathered} \frac{15}{100}\times500 \\ =15\times5 \\ =75 \end{gathered}\)75 students will buy 4 times
Similarly on calculation we get 50 students will buy 3 times, 50 students will buy 2 times , 90 students will buy 1 time.
So total number of lunches that will be sold will be
\(\begin{gathered} 5\times175+4\times75+3\times50+2\times50+1\times90 \\ =875+300+150+100+90 \\ =1515 \end{gathered}\)So total 1,515 lunches will be sold .Hence the correct option is (A).
which number is between 42.3 and 42.2
Answer:
42.25
Step-by-step explanation:
Last week, Danny started washing cars to earn some money to pay for a trip to Disney world. He washed four cars on Day 1 and six cars every day after that. Write the function that models the total number of cars, c(d), Danny has washed after d days?
Answer:
c(d) = 4 + 6(d - 1)
Step-by-step explanation:
Let
d = number of days Danny washed cars
Day 1 = 4 cars
Other days after day 1 = 6 cars
Function that models the total number of cars, c(d), Danny has washed after d days?
c(d) = 4 + 6(d - 1)
drag the numbers to the boxes to order them from least to greatest value
Answer:
what numbers?
Step-by-step explanation:
X/4 < 2
PLEASE SHOW WORK!!!! I NEED HELP I ONLY HAVE UNTIL 12 AND I HAVE TONS MORE QUESTIONS
Answer:
x < 8
Step-by-step explanation:
X/4 < 2
Multiply each side by 4
X/4 *4 < 2*4
x < 8
If a1 =5 and an=-2an-1 then find the value of a4
Answer:
We are given the following recursive formula:
an = -2an-1
We are also given that a1 = 5. Using the recursive formula, we can find the values of a2, a3, and a4 as follows:
a2 = -2a1 = -2(5) = -10
a3 = -2a2 = -2(-10) = 20
a4 = -2a3 = -2(20) = -40
Therefore, the value of a4 is -40.
Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
Carson is a songwriter who collects royalties on his songs
whenever they are played in a commercial or a movie. Carson
will earn $20 every time one of his songs is played in a
commercial and he will earn $120 every time one of his songs
is played in a movie. Carson's songs were played on 5 more
commercials than movies, and his total earnings on the
royalties from all commercials and movies was $380.
Determine the number of commercials and the number of
movies on which Carson's songs were played.
Answer:
7 commercials2 moviesStep-by-step explanation:
You want to know the number of commercials and movies playing Carson's song if his $380 in royalties include $20 for each commercial play and $120 for each movie play. There were 5 more commercial plays than movie plays.
EquationsWe can describe the numbers of commercial (c) and movie (m) plays by ...
20c +120m = 380
c - m = 5
SolutionUsing c = m +5, we can substitute for c to get ...
20(m +5) +120m = 380
140m +100 = 380 . . . . . . . simplify
140m = 280 . . . . . . . . . . subtract 100
m = 2 . . . . . . . . . . . . . . divide by 140
c = 2 +5 = 7
Carson's songs were played on 7 commercials and 2 movies.
<95141404393>
Anyone wanna help me out??
Answer:
6955 ftStep-by-step explanation:
Refer to attached. Point J, segment BJ and angle measures added.Step 1, find BJ
BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ftStep 2, find BP
BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ftStep 3, find PQ
PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ftStep 4, find the elevation of peak P
Height above sea level = 6500 + 454.7 ≈ 6955 ft (rounded)if r is the ring of integers, let u be the ideal consisting of all multiples of 17. prove that if v is an ideal of r and r ⊃ v ⊃ u then either v = r or v = u. generalize!
(a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, The only ideals of R containing u are u and R itself.
To prove that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u, we need to use the fact that the only ideals of r are the trivial ones (0 and r) and the maximal ones (prime ideals). Since u is not a prime ideal (since it contains multiples of 17), the only possibilities for v are u and r. To see this, suppose that v is a proper ideal of r containing u. Then there exists some non-zero element a in v that is not in u. Since a is not a multiple of 17, it must have a prime factor p that is not 17 (otherwise, it would be a multiple of 17). But then (a) is a prime ideal of r (since r is a UFD), and since v is contained in (a), we have either v = (a) or v = r. Therefore, we have shown that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u. We can generalize this result to any ring R and any proper ideal u of R by using the same argument. If v is a proper ideal of R containing u, then there exists some non-zero element a in v that is not in u. But then (a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, the only ideals of R containing u are u and R itself.
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determine the angular velocity of the gear and the velocity of its center o at the instant shown
For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.
To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:
Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.
Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.
Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.
Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)
Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.
In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.
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The study investigators conjectured that there would be an increase in weight, but that the rate of increase would level-off toward the end of the study. They also conjectured that this pattern of change may differ in the three treatment groups. Assuming an unstructured covariance matrix, construct a test of this hypothesis.
The test for this hypothesis is carried out with the help of repeated measures ANOVA.
It involves looking for an interaction effect among the treatment groups, time, and weight.
In addition, this ANOVA can determine whether the pattern of change in weight over time differs between the three treatment groups. In this case, the test can be carried out with the help of three repeated measures, and the data is grouped according to treatment. If the interaction term is significant, it indicates that the pattern of change in weight over time differs between the three treatment groups.
If the interaction term is not significant, the researchers can conclude that there is no difference in the pattern of change in weight over time between the three treatment groups.
Thus, the conclusion can be drawn from this test.
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14/ or 7/9 which is greater
Answer:
7/9Step-by-step explanation:
Answer:
14
Step-by-step explanation:
14/1 would be greater than 7/9
y=7/3x - 11/8 in standard form
Answer:
Standard form answer should be -33.
Sincerely sorry if im incorrect
Answer:
56x-24y = 33
Step-by-step explanation:
please help me! will give brainlest!!!
Answer: x=16
Step-by-step explanation:
Which of the following is equal to the rational expression when x + 4 or-9?
(x-4)(x+11)
(x +9)(x-4)
OA. X+11
X+9
X+11
OB.
X-4
O. C.
X-4
x 11
O D.
X-4
X+9
The expression that is equal to the rational expression is \(\frac{x + 11}{x + 9)}\)
How to determine the equivalent expression?The proper format of the question is in the attachment
The expression is given as:
\(\frac{(x - 4)(x + 11}{(x + 9)(x - 4)}\)
Cancel out the common factor x - 4
\(\frac{x + 11}{x + 9)}\)
Hence, the expression that is equal to the rational expression is \(\frac{x + 11}{x + 9)}\)
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