The volume of the building is given as follows:
V = 67,536 m³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
If the entire prism was closed, the dimensions would be given as follows:
28m, 64m and 60m.
Hence the volume would be given as follows:
V = 28 x 64 x 60
V = 107,520 m³.
The dimensions of the open region are given as follows:
28m, 60 - 18 = 42 m and 64 - 30 = 34 m.
Hence the volume of the open region is of:
V = 28 x 42 x 34
V = 39,984 m³.
Then the volume of the building is given as follows:
V = 107520 - 39984
V = 67,536 m³.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1
What is the solution to the inequality below? 5−10≥−3+14
Answer:
5≥17
Step-by-step explanation:
quadrilateral cdef is inscribed in circle a. quadrilateral cdef is inscribed in circle a. if m∠cfe = (2x 6)° and m∠cde = (2x − 2)°, what is the value of x? a. 22 b. 44 c. 46 d. 89
The value of x in quadrilateral cdef inscribed in circle is (b) 44.
What is the value of x in the given scenario?To find the value of x, we can use the property that opposite angles in an inscribed quadrilateral are supplementary (their measures add up to 180°).
Given that quadrilateral CDEF is inscribed in circle A, we have:
m∠CFE + m∠CDE = 180°
Substituting the given angle measures:
(2x + 6)° + (2x - 2)° = 180°
Combining like terms:
4x + 4 = 180
Subtracting 4 from both sides:
4x = 176
Dividing both sides by 4:
x = 44
Therefore, the value of x is 44.
The correct answer is:
b. 44
Learn more about inscribed quadrilaterals
brainly.com/question/28262325
#SPJ11
Pretty please helppplp!!!!!!
Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
Answer:
so your answer is -6
Step-by-step explanation:
\(\frac{(x^2^5)^-^6}{(x^-^3)^4^8}\) Did i write the equation right? If so you would multiply the exponents
x^-150 x^144
---------- so you then flip the two and get ----------
x^-144 x^150
then you would subtract the exponents like this 144-150= -6
The cylinder shown has a volume of 150 cubic inches and its height is equal to its radius. The cylinder and the sphere shown have the same radius. What is the volume of the sphere?
Answer:
V = 200
Step-by-step explanation:
Cylinder
V = pi r^2 h
150 = pi r^2 h
We know that h = r
150 = pi r^2 r
150 = pi r^3
Divide each side by pi
150 /pi = r^3
Take the cube root of each side
( 150 / pi ) ^ 1/3 = r
3.627831679 = r
Rounding to 3.63
Now find the volume of the sphere
V = 4/3 pi r^3
Replacing r^3 with 150 /pi
V = 4/3 * pi ( 150/pi)
V = 4*150 /3
V = 200
Which of the following choices evaluates (-x)^2 when x=-1
Answers:
1)1
2)-2
3)-1
for the pseudo-code program below and its auxiliary function: x = 8 y = 50 sqr(x) print y define sqr(x) a = x * x return a the output of the print statement will be:
The output of the print statement will be "50".
In the given pseudo-code program, the variable x is assigned a value of 8, and the variable y is assigned a value of 50. Then, the program calls the auxiliary function sqr(x) and passes the value of x as an argument.
The sqr(x) function takes the input x and squares it by multiplying x with itself. In this case, since x is 8, sqr(x) will return the value 64.
After calling the sqr(x) function, the program executes the print statement, which outputs the value of y. Since y is assigned the value 50 and is not modified anywhere else in the program, the output of the print statement will be "50".
To know more about output,
https://brainly.com/question/31756900
#SPJ11
what is (6x-4)+(5z+8)
Combine like terms.
6x + 5z + 4
PLEASE HELP. WORTH 100 POINTS !
if you take points and leave without answering I will report you
Answer:
6) 60°
7) 24.25°
8) 28°
Step-by-step explanation:
I’m not 100% sure but hope this helps.
Answer:
6. u = 60
7. 24.25°
8. 28°
Step-by-step explanation:
6. First we know that a triangle is 180 degrees. So we would do 30+90+u=180
120+u=180
-120 -120
u = 60
What is the pattern for this sequence? 2 , 0 , -2 , -4 , -6 , ... A. Each number in the sequence is 3 less than the previous number. B. The sequence decreases by multiples of 3: first by 3, then 6, then 9, then 12. C. The sequence decreases by multiples of 2: first by 2, then 4, then 6, then 8. D. Each number in the sequence is 2 less than the previous number.
Answer:
I believe the correct answer is D
Express in the form 1 : n . Give n as a decimal. 16 : 12
Answer:
16.12
Step-by-step explanation: hope this helps
A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
To learn more about Stock split, visit:
https://brainly.com/question/29754813
#SPJ11
Which expression has the same value as -18/(-9)?
PLS HELP ASAP(100 POINTS)
The following tree heights were recorded on a school campus:
61, 72, 84, 88, 77, 67, 76, 79, 63, 79, 69, 70, 86, 78, 82, 82, 80, 73, 87, 90, 73, 76, 79, 71, 75, 79, 76, 83, 84, 87, 72, 81, 89, 74, 77, 78, 81, 84
A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. Which display will present the information in this way?
Bar chart
Dot plot
Circle graph
Histogram
A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram
In this question, we have been given the tree heights recorded on a school campus.
A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.
We need to find a correct plot that will present the information in this way.
We know that in bar charts, each bar represents one value(category). And in a histogram, each bar will represent a continuous data
Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram
Learn more about the histogram here:
https://brainly.com/question/16922467
#SPJ1
Answer:
Step-by-step explanation:
A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram
We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.
Help me please please
andreas höring and thomas peternell. algebraic integrability of foliations with numerically trivial canonical bundle
Andreas Höring and Thomas Peternell have made significant contributions to the study of algebraic integrability of foliations with numerically trivial canonical bundle.
Andreas Höring and Thomas Peternell are mathematicians who have made significant contributions to the study of algebraic integrability of foliations with numerically trivial canonical bundle.
Algebraic integrability refers to the property of a foliation (a geometric structure defined on a manifold) to have certain algebraic properties. In particular, it relates to the existence of rational functions that preserve the foliation structure.
A foliation is said to have a numerically trivial canonical bundle if the line bundle associated with the canonical divisor of the foliation has degree zero on every curve. The canonical bundle is a fundamental object in algebraic geometry that captures the intrinsic geometry of a variety.
Höring and Peternell have studied the algebraic integrability of foliations with numerically trivial canonical bundle from various perspectives. They have investigated the existence and properties of meromorphic first integrals, which are rational functions that preserve the foliation. These integrals play a crucial role in understanding the dynamics of the foliation.
Know more about the algebraic integrability
https://brainly.com/question/4344214
#SPJ11
Complete question:
Aandreas höring and thomas peternell. algebraic integrability of foliations with numerically trivial canonical bundle. prove that the the algebraicity of leaves for sufficiently stable foliations with numerically trivial canonical bundle.
What is 55.736 rounded to 2 decimal places?
Answer: 55.74
Step-by-step explanation:
PLEASE HELP ILL GIVE YOU LOTS OF POINTS!!!
Plot the preimage on grid number 1:
A (0 , 4) B (1 , 2)C (-1 , 3)
Reflect the preimage over the X-Axis; Give new coordinates:
A’ ( , )B’ ( , )C’ ( , )
Rotate Triangle A’B’C’ 90° counterclockwise; Give the new coordinates:
A’’ ( , )B’’ ( , )C’’ ( , )
Translate Triangle A”’B’’C’’ left 1 unit and up 3 units; Give the new coordinates:
A’’’ ( , )B’’’ ( , )C’’’ ( , )
Dilate Triangle A’’’B’’’C’’’ by a scale factor of 3; Give the new coordinates:
A’’’’ ( , )B’’’’ ( , )C’’’’ ( , )
Answer:
Is there a picture for that where i can try to help you??
Step-by-step explanation:
Can someone help on this? Thank youu;)
Answer:
2^(3/7)
Step-by-step explanation:
For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.
3 is in the root, so it is the numerator
7 is outside the root, so it is the denominator
Therefore, The answer is 2^(3/7)
a toy which was bought for rupees 100 was sold at rupees 90. what was the loss in percentage
Answer:
Step-by-step explanation:
Cost of toy =100
Selling price = 90
Loss = 100
Loss in percentage = 10/90*100
Loss in %= 11.11
if x:y = 0.75 : 0.90 and y:z is 1/3 : 1/4. a) simplfly x:y and z:y b) x:y:z
x:y=0.75:0.90
Here,
Dividing by the value of y=0.90,
x:y=0.75/0.90:0.90/0.90
=5/6:1
Similarly,
y:z=1/3:1/4
Dividing by 1/3,we get,
y:z=1:3/4
Now,
X:y:z=5/6:1:3/4
Multiplying by both value of y,0.90×1/3=3/10
x:y:z=5/6×3/10:1×3/10:3/4×3/10
By solving this,
x:y:z=1/4:3/10:9/40Answer:
Step-by-step explanation:
A method for determining whether a critical point is a relative minimum or maximum using concavity.
To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.
If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.
On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.
If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.
Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.
To learn more about concavity click on,
https://brainly.com/question/29157335
#SPJ4
Complete question is:
What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.
Dianne used a $50 note to pay for a tour of the Perth
Mint. The amount of change she received was $20
more than the cost of the tour. Find the cost of the
tour.
Answer: $30
Step-by-step explanation:
isnt it just 50-20
Answer: 30
Step-by-step explanation:
Since Dianne used a 50$ note to pay and then received 20 as change it would just be 50-20=30
Answer 30
is the sum of any angles in a triangle 180
An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
HELP PLEASE TO CONFUING FOR ME
Answer:wow this is hard
Step-by-step explanation:
can someone help me solve for x??
Answer:
10
Step-by-step explanation:
6/8=6+x/18
48+6x=108
6x=60
x=10
If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive. True False Could you please explain why?
Therefore, we cannot determine whether A and B are collectively exhaustive just from their probabilities that is the given statement is false.
The statement "A and B must be collectively exhaustive" means that the events A and B together cover all possible outcomes of the experiment. In other words, if A and B are collectively exhaustive, then there are no other possible outcomes of the experiment besides A and B.
In this case, we cannot determine whether A and B are collectively exhaustive just from their probabilities. It is possible that there are other events that could occur in the experiment that are not represented by A or B.
For example, if the experiment is flipping a coin, then A could represent the event of getting heads and B could represent the event of getting tails. In this case, A and B are collectively exhaustive because they cover all possible outcomes of the experiment. However, if there is a third event C that represents the coin landing on its edge, then A and B are not collectively exhaustive because there is another possible outcome of the experiment that is not represented by A or B.
To know more about probabilities,
https://brainly.com/question/14308087
#SPJ11
I need these questions done please 15 points and Brainleest show working out please
1) C = 3.14 × 1 cm
or, C = 3.14 cm
2) C = 2 × 3.14 × 5m
or, C = 3.14 × 10m
or, C = 31.4 m
3) C = 2 × 22/7 × 14 cm
or, C = 28 × 22/7 cm
or, C = 4 × 22 cm
or, C = 88 cm
4) L = 90/360 × 2 × 22/7 × 5 cm
or, L = 1/4 × 10 × 22/7 cm
or, L = 220/28 cm = 55/7 cm
or, L = 7 whole 6/7 cm
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:de
Step-by-step explanation:
I have to find this angle but i really don’t know how and there is no answer when I search pls help
Answer:
x=38
Step-by-step explanation:
let we say the supplimentary y then
y+83=180
y=180-83
y=97x+y=125 b/c y and x are remote angles then
97+x=125
x= 125-97
x=28
a doctor is measuring body temperature for patients visiting the office. the doctor believes the average body temperature is less than 98.6 degrees fahrenheit and would like to test this claim. during the process of hypothesis testing, the doctor computes a value from the sample data, which will be used to compare the sample data to the population parameter. what value did the doctor compute? select the correct answer below: critical value test statistic p-value significance level
Answer: its B) test statistic
Step-by-step explanation: