If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.
Answers
Part (a)
Answer: x^3 + 12x^2 + 47x + 60--------------------------
Work Shown:
Let's say we have
L = length = x+5W = width = x+4H = height = x+3To find the volume of the block, we multiply the length width and height.
So,
volume = (length)*(width)*(height)
V = L*W*H
V = LW*(x+3) .... replace H with (x+3)
V = LW*x + LW*3 .... distribute
V = Lx*(W) + 3L*(W)
V = Lx(x+4) + 3L(x+4) .... replace W with x+4
V = Lx^2 + 4Lx + 3Lx + 12L .... distribute
V = Lx^2 + 7Lx + 12L
V = x^2*(L) + 7x*(L) + 12*(L)
V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5
V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute
V = x^3 + 12x^2 + 47x + 60
x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.
=======================================================
Part (b)
Answer: 336 cubic feet--------------------------
Work Shown:
We can plug x = 3 into the polynomial we found
V = x^3 + 12x^2 + 47x + 60
V = (3)^3 + 12(3)^2 + 47(3) + 60
V = 27 + 12(9) + 47(3) + 60
V = 27 + 108 + 141 + 60
V = 336
Or we could find the volume like this
V = L*W*H
V = (x+5)*(x+4)*(x+3)
V = (3+5)*(3+4)*(3+3)
V = (8)*(7)*(6)
V = 336
Either way, we get the same volume of 336 cubic feet.
Related Questions
Solve for the value of z.
(72-2)84°
Answers
Write these ratios in their simplest form. You must show all your workings:
a. 2 liters:600ml
b. 8h:1 day
c. 3km:250m
Please help! I’ll mark as Brainliest!
Answers
Answer:
10 : 3 , 1 : 3 , 12 : 1
Step-by-step explanation:
before simplifying the ratios both must be in the same units of measure.
(a)
1 litre = 1000 ml
2 litres : 600 ml
= 2000 ml : 600 ml ( divide both parts by 200 )
= 10 : 3
(b)
1 day = 24 hours
8 hr : 1 day
= 8 hr : 24 hr ( divide both parts by 8 )
= 1 : 3
(c)
1 Km = 1000 m
3 Km : 250 m
= 3000 m : 250 m ( divide both parts by 250 )
= 12 : 1
2 liters = 2000ml, 600ml x 10/3 = 2000
b. 1:3
1 day = 24 hours, 8h x 3 = 24
c. 12:1
3km = 3000m, 250m x 12 = 3000m
a nurse is planning care for a client to prevent postoperative atelectasis. which of the following interventions should the nurse include in the plan of care except?
Answers
Answer:
You didn't provide any choices or options to pick from but here are the possible answers is:
- Encourage the use of the incentive spirometer every 2 hours
-Instruct to splint incision when coughing and deep breathing.
-Reposition the client every 2 hours
-Assist with early ambulation.
Step-by-step explanation:
Hope I could help!
In the plan of care to prevent postoperative atelectasis, interventions should not include the use of tobacco products or exposure to secondhand smoke.
The nurse should include several interventions in the plan of care to prevent postoperative atelectasis, but there are specific interventions that should not be included. Atelectasis is the partial or complete collapse of the lung, and preventing it is crucial after surgery. Here are some interventions that should be included:
Incentive Spirometry: The nurse should encourage the client to use an incentive spirometer to promote deep breathing and lung expansion.
Early Ambulation: Encouraging the client to get out of bed and walk as soon as possible after surgery helps improve lung function.
Pain Management: Adequate pain control measures should be in place to ensure the client can take deep breaths without discomfort.
Coughing and Deep Breathing Exercises: The nurse should teach and encourage the client to perform regular coughing and deep breathing exercises to clear the airways and prevent mucus buildup.
Positioning: Proper positioning, such as elevating the head of the bed, can aid lung expansion.
What should not be included in the plan of care is the use of tobacco products or exposure to secondhand smoke, as smoking and smoke exposure are detrimental to lung health and can worsen atelectasis. These should be strictly avoided to prevent postoperative complications.
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A researcher wants to know the average number of times per month respondents eat at fast food restaurants. The statistic that s/he is most interested in would be the_________. A. standard deviation B. proportion C. mean D. variance
Answers
The statistic that the researcher would be most interested in for determining the average number of times per month respondents eat at fast food restaurants is the mean. The mean represents the average value of a set of data points and is commonly used to measure central tendency.
In this case, the researcher wants to know the average number of times per month respondents eat at fast food restaurants. By calculating the mean, the researcher can obtain a single value that represents the typical or average frequency of eating at fast food restaurants among the respondents. The standard deviation (A) is a measure of the dispersion or variability of the data points around the mean. The proportion (B) is a measure of the relative size or fraction of a subgroup within a larger group. The variance (D) is a measure of the average squared deviation from the mean. While these statistics can provide valuable information, they are not specifically suited to determine the average number of times per month respondents eat at fast food restaurants. Hence, the most relevant statistic in this scenario would be the mean (C).
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Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Answers
Answer: A.)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
If two planes intersect it happens at a _____
Answers
Answer:
line
Step-by-step explanation:
Two planes will intersect at a line
Picture two pieces of paper. How would they meet together? They meet at a line.
Two lines intersect at a point
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answers
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
-1/4(x+1 2/3)=-2 1/5
Answers
Answer:
x=\frac{64}{5}=12\frac{4}{5}
Step-by-step explanation:
1. Simplify the expression
\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}
Multiply the fractions:
\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}
Expand the parentheses:
\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}
Break up the fraction:
\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}
Answer:
The answer is x= 7 2/15. So the third one.
Step-by-step explanation:
Hopefully, this was helpful. :)
A figure has side lengths 5, 7, and 13. Could the figure be a triangle?
Answers
Answer: no
Step-by-step explanation:
Someone help me plzz
Answers
Step-by-step explanation:
distance around the running track means to find the perimeter of whole solid figure
radius(r) = 30/2 =15m
perimeter = 50+ pi× r + 50+ pi × r
= 100 + 2 × pi ×r
= 100 + 2× 22÷7 × 15
= 1360/ 7 m
= 194.285 m
euler's formula, v − e f = 2, relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron. solve euler's formula for e.
Answers
The formula to solve Euler's Formula for e, which relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron is e = v + f - 2.
Euler's Formula, v − e + f = 2, is a relationship between the number of edges e, the number of vertices v, and the number of faces f in a polyhedron. The formula can be rearranged to solve for e which is e = v + f - 2. This formula can be used to find the number of edges in a polyhedron when the number of vertices and faces are known. Therefore, this formula is used to calculate the number of edges in a polyhedron. The formula states that the number of vertices, minus the number of edges, plus the number of faces is always equal to 2.
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how do you do this question
Answers
Answer:
Look at the explanation
Step-by-step explanation:
Type of angle pair: parallel angle pair
These angles are: corresponding angles
So, x = 68°
Four less than “x”
Explain step by step
Answers
Answer and Step-by-step explanation:
The expression should look like this:
x - 4.
This is because 4 is less than x, so it has to be subtracted from x. That is the final answer.
#teamtrees #PAW (Plant And Water)
True/False;
This table represents a linear function.
True
False
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
Please answer quick and add an explanation 0.0
Thank you!
Answers
Answer: 9/4
Step-by-step explanation:
The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4
Simple 2 1/4 to fraction = 9/4
If you can please give me a Brainliest, thank you!
The mug has a capacity of 2 1/4 cups of water, as per the given conditions.
Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups
Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.
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Help plz. I just need the answers.
Answers
Answer:
A- (-8)
B- (-7.8)
A rocket rises at 5 ft/s between 0 and 10 seconds. Afterwards it rises at 15 ft/s for another 15 seconds. Use one loop to calculate the rockets height at the end of the 25 seconds. Use h as the variable for height.
Answers
The height of the rocket at the end of the 25 seconds is 275 ft.
We have given that,
a rocket rises at 5 ft/s between 0 and 10 seconds,
therefore
V₁ = 5 ft/s
T₁ = 10 seconds
Height in first 10 seconds = ?
we know the formula to find the height,
i.e Height = velocity × time
⇒ H₁ = V₁ × T₁
= 5 × 10
H₁ = 50 ft
Therefore height of the rocket in the first 10 seconds is 50 ft.
Now it given that, rocket rises at 25 ft/s for another 15 seconds.
i.e V₂ = 15 ft/s
T₂ = 15 seconds
H₂ = ?
H₂ = V₂ × T₂
= 15 × 15
H₂ = 225 ft
Therefore height of the rocket in next 15 seconds is 225 ft.
Now we will find the height of the rocket at the end of the 25 seconds.
i.e H = H₁ + H₂
= 50 + 225
H = 275 ft
Hence the height of the rocket at the end of 25 seconds is 275 ft.
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The positive integers x and y are the two smallest positive integers for which the product of 360 and x is a square and the product of 360 and y is a cube. What is the sum of x and y?
Answers
The required sum of the positive integers x and y with the given condition of product of x and y as square and cube is equal to 85.
Two positive integers are x and y.
Product of 360 and x is a square.
Product of 360 and y is a cube.
Prime factors of 360 equals to ,
360 = 2³ × 3² × 5
To make a product of 360 and x as square ,
Multiply by 2 and 5 and 3 is already a perfect square.
x = 2 × 5
= 10
360 × 10 = 3600
Now , to make product of 360 and y as cube.
Multiply by 3 and 5² and 2 is already a perfect cube.
y = 3 × 5²
= 75
360 × 75 = 27000
Sum of the values of x and y is equal to,
x + y
= 10 + 75
= 85
Therefore, the sum of the positive integers x and y are 85.
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FILL THE BLANK.the domain model class diagram is used to _______ .
Answers
The domain model class diagram is used to illustrate the domain models in object-oriented development. It provides an overview of a system's domain models, the major concepts, and their relationships.
These diagrams are used to give an understanding of the software system's requirements and to guide the system's design process.150 words:What is a domain model class diagram?A domain model class diagram is a type of UML diagram that is used to represent the domain models in object-oriented development.
This diagram is used to depict an overview of a system's domain models, the major concepts, and their relationships. A domain model is a visual representation of the system's domain, which includes the concepts, activities, and relationships between the concepts and activities.
A domain model class diagram can be used to capture the user's requirements and translate them into a software system.The domain model class diagram consists of classes, attributes, associations, and operations. Classes are the fundamental building blocks of the system and define the system's concepts.
Attributes are the properties of the classes, while operations are the actions that can be performed on the classes. Associations are the relationships between the classes, and they define how the classes are connected to one another.
The domain model class diagram provides a clear and concise representation of the system's domain and enables designers and developers to build software systems that meet the user's needs.
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TRUE/FALSE. in a poisson distribution, the probability of success may vary from trial to trial.
Answers
The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.
The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.
The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.
The probability of observing k events in the interval is given by the Poisson probability mass function:
P(k) = (e^(-λ) * λ^k) / k!
where e is the base of the natural logarithm, and k is a non-negative integer.
The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.
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Determine the 2d shape that would be created if the 3d shape were sliced down
Answers
Answer:
There is no image attached
if DE is a perpendicular bisector find AE
Answers
Answer: dc
Step-by-step explanation:
Answer:
Look at the picture.
By the definition of a perpendicular bisector, we can conclude that angle B is a right angle and DB=BE, and AB is a common line segment shared by both triangles above. Using SAS (Side-Angle-Side), we can conclude that both the triangles are congruent, therefore:
x
−
10
=
2
x
−
34
x
=
24
So now for AE:
24
−
10
=
14
Step-by-step explanation:
write the slope-intercept form of the equation of the line trough the given point with the given slope.
trough : (1, -4), slope= -8
A.y=8x+4
B.y=-8x+4
C.y=4x+8
D.y=3x+8
Answers
Given:
Point = (1,-4), Slope - 8
Point = (1,5), Slope =1
To find:
The slope-intercept forms of the given lines.
Solution:
The slope intercept form of a line is:
\(y=mx+b\)
The point slope form is:
\(y-y_1=m(x-x_1)\)
where, m is the slope of the line.
We have, Point = (1,-4), Slope - 8. So, the equation of the line is:
\(y-(-4)=-8(x-1)\)
\(y+4=-8x+8\)
\(y=-8x+8-4\)
\(y=-8x+4\)
Therefore, the correct option is B.
We have, Point = (1,5), Slope =1. So, the equation of the line is:
\(y-5=1(x-1)\)
\(y-5=x-1\)
\(y=x-1+5\)
\(y=x+4\)
Therefore, the correct option is D.
Please help! Find the value of x in the diagram below, and show work.
Answers
According to the Side-Angle-Side Theorem (SAS), two triangles are congruent if their two sides and the angle between them are equal to those of another triangle's two sides and angle.
The ASA Theorem: What is it?The two triangles are said to be congruent by the ASA rule if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle. l m Q = 130° In ABC ABC = 180° - Q ABC = 50° BAC = 90° In ABC, ABC + BAC + ACB = 180° ACB = 180° - (90 + 50) ACB = 40° x = 40° (vertAccording to the Side-Angle-Side Theorem (SAS), two triangles are congruent if their two sides and the angle between them are equal to those of another triangle's two sides and angle.Knowing two sides as well as the angle between them is known as "SAS." Calculate the unknown side using the Law of Cosines, then use the Law of Sines to determine the smaller of the two other angles, and then use the three angles added together to determine the final angle.To learn more about SAS Theorem refer to:
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what is 2 plus 3 divided by two?
Answers
Answer:2.5
Step-by-step explanation:
2+3/2
5/2
2.5
5x+7x=180 a.___
12=80 b.__
x=15 C.___
Answers
Answer:
5x + 7x = 180
x = 15
Step-by-step explanation:
5x + 7x = 12x
180/12 = 15
vanessa tried to prove that \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k. statement reason 1 \overline{kl}\cong\overline{mn} kl ≅ mn start overline, k, l, end overline, \cong, start overline, m, n, end overline given 2 \overline{lm}\cong\overline{nk} lm ≅ nk start overline, l, m, end overline, \cong, start overline, n, k, end overline given 3 \triangle klm\cong \triangle mnk△klm≅△mnktriangle, k, l, m, \cong, triangle, m, n, k side-side-side congruence what is the first error vanessa made in her proof? choose 1 answer: choose 1 answer:
Answers
What is the first error Vanessa made in her proof: B. Vanessa only established some of the necessary conditions for a congruence criterion.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
Based on the reflexive property of equality, we can logically deduce the following congruent and similar triangles:
KM ≅ KM
ΔKLM ≅ ΔMNK (SSS similarity theorem).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A piece of wire 22m long is bent to form a rectangle of area 24m² find the length and breadth of the rectangle
Answers
Last year a town had a population of 2000 + x . If the population increased by 25 people this year, which of the following expressions represents this years population?
Answers
Answer:
Step-by-step explanation:
If the population of the town last year was 2000 + x, then this year's population, after an increase of 25 people, can be represented by the expression:
(2000 + x) + 25
Does this graph represent a proportional relationship?
Explain
Answers
This graph does not show a proportional relationship because the line is not straight and does not go through the origin.
Answer:
This graph does not show a proportional relationship because the line is not straight and does not go through the origin
Step-by-step explanation: