Answer:
81 [ft].
Step-by-step explanation:
1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;
2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:
[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]
3) if g=32, t=9/4, then the required height is:
[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]
The height of the building comes to be 81 feet.
Initial velocity u= 0 feet/sec
Final velocity v= 72 feet/sec
The acceleration due to gravity g =32ft /sec²
Height of the building h= suppose h
What is the equation of motion?The equation of a motion is:
[tex]v^{2} =u^{2} +2gh[/tex]
Where u and v are the initial and final velocities.
[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]
So, the height of the building = 81 feet.
Therefore, the height of the building comes to be 81 feet.
To get more about motion visit:
https://brainly.com/question/453639
What is the solution to the help!!!!!
following equation:
2(3x - 7) + 18 = 10
-
0 1
03
3
5
6
Answer:
x = 1
Step-by-step explanation:
Given:
2(3x - 7) + 18 = 10
Solution:
Subtract 18 from both sides
2(3x - 7) + 18 = 10
- 18 -18
---------------------------
2 (3x-7) = -8
Now divide both sides by 2
2 (3x-7) -8
----------- = ------------
2 2
Simplify
3x - 7 = -4
Then add 7 to both sides
3x - 7 = -4
+ 7 +7
--------------------
3x = 3
Divide both sides by 3
3x 3
----------- = ------------
3 3
x = 1
Thus, Solution : x =1
~Lenvy~
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Step 1Simplify both sides of the equation
[tex]2(3x - 7) + 18 = 10[/tex]
Distribute
[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]
Combine like terms
[tex](6x) + ( - 14 + 18) = 10[/tex]
[tex]6x + 4 = 10[/tex]
Step 2Subtract 4 from both sides
[tex]6x + 4 - 4 = 10 - 4[/tex]
[tex]6x = 6[/tex]
Step 3Divide both sides by 6
[tex] \frac{6x}{6} = \frac{6}{6} [/tex]
[tex]x = 1[/tex]
*50 POINTS* pls help very urgent! Look at the pic then answer question.
Step-by-step explanation:
1. feet/min
2. square feet/min
3. cubic feet/min
4. square feet/min
A)
rate of walking = distance/timeHence rate of walking should be measured in feet/minute
B)
rate of painting a wall can be determined by measuring its areaHence rate of painting should be in sqaure feet per minute
C)
rate of filling a bucket should be measured by finding its volumeHence rate of paining is measured in cubic feet per minute
D)
rate of mopping the kitchen floor is same as painting a wallHence rate of mopping should be in sqaure feet per minute
A regular octagon with side length = 5.3 meters. What is the total area of the shape? Round to two
decimal places at the end of your calculation.
Answer:
97.31 [tex]m^2[/tex]
Step-by-step explanation:
The area of the octagon is:
[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2
answer this. pleaaaaseeee
Answer:
look at analysis
Step-by-step explanation:
11. 23.81
12.
part A
y is 12 and x is 4
part B
4
part C
5×12×4
240
Two great structures are
described below. What is the
difference, in square feet, between the visible
surface area of
the Great Pyramid and the first tower of the World Trade
Center? (Hint: The bottom side is not visible for either
structure.)
On September 11, 2001,
terrorists crashed planes
The Great Pyramid of
Giza, built around 2550
B.C., has a square base
with a length of 756 feet,
and the distance from
the middle of any base
side to the top is 612 feet.
into the World Trade
Center Twin Towers. The
first tower was a
rectangular prism with a
square base whose sides
were 208 feet long. The
tower was 1,368 feet tall.
The difference, in square feet, between the visible surface area of
The Great Pyramid and the first tower of the World Trade Center are 358704.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = Perimeter x height
The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.
The first tower was a rectangular prism with a square base whose sides
were 208 feet long. The tower was 1,368 feet tall.
Total surface area = base area + (1/2 × perimeter × slant height)
Perimeter of base = 4 × 756 = 3024 feet
Slant height = 612 feet
Base area = 756² = 571536 feet²
The total surface area
[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]
The surface area of this rectangular prism = Perimeter x height
Perimeter of base = 4 × 208 = 832 feet
Area = [tex]832 \times 1368\\\\1138176[/tex]
The difference, in square feet, between the visible surface area of
the Great Pyramid and the first tower of the World Trade Center are 358704.
Learn more about the area;
https://brainly.com/question/4599388
#SPJ1
A calendar use seven boxes of nails to build 10 bird houses he used blank of a box on each birdhouse
0.07 x what equals 441 ???
Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
I will mark brainly, please help me solve this question.
If the rate of inflation per annum is 15% per annum, how long will iti take for the price of an item to double?
Answer:
it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)
Find the missing side length of the right triangle below 6 inches 12 inches
Which of these figures has a line of symmetry drawn correctly?
Shape A and Shape B
Shape B and Shape D
Shape A
Shape C
Which graph shows the line that best fits the data points given?
I need it ASAP
Please and Thank You! :)
Answer:
c
Step-by-step explanation:
the line goes thru most of the points and it's in the same direction also bc i had that same question a couple days ago
Find the unknown sizes of angles the given figure .
Answer:
a=96
b=42
c=138
Step-by-step explanation:
as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138
The management of a restaurant has been studying whether or not new customers return within a month. The collected data reveal that 60% of the new customers have returned. If 90 new customers dine at the restaurant this month, what is the probability that at least 60 will return next month? Use Normal approximation to Binomial distribution.
Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
60% of the new customers have returned, hence p = 0.6.90 new customers dine at the restaurant this month, hence n = 90.Thus, the mean and the standard error for the approximation are given as follows:
[tex]\mu = np = 90(0.6) = 54[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{90(0.6)(0.4)} = 4.6476[/tex]Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]
Z = 1.18
Z = 1.18 has a p-value of 0.881.
1 - 0.881 = 0.119.
0.119 = 11.9% probability that at least 60 will return next month.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
How to measure the internal angles?
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
please answer it
I need it now
Find the missing side. Round
to the nearest tenth.
Х
y
390
57
X=[?]
Answer:It's 46.2
Step-by-step explanation:
a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 pounds. if a random sample of 36 lobster fishermen is selected, what is the possibility that their average catch is less than 31.5 pounds? assume the distribution of weights of lobster is normal
There is a probability of 22.66% that their average catch is less than 31.5 pounds
What is z score?The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
Find out more on z score at: https://brainly.com/question/25638875
Chase was on his school’s track team and ran the 2400m race. He has been working on his pace and can run 1600m in 5.5 minutes. If he keeps this pace through the entire race, how long will it take him to finish the 2400m race?
Answer:
8.25 min
Step-by-step explanation:
1600 m / 5.5 min = pace
2400 / (1600 / 5.5 ) = 8.25 min
How do I find the mean of these numbers?
Answer:
how to find the mean: add all your values together then divide them by how many numbers u added
example:
5,7,9,9,10
add= 40
divide by 5, we have 5 values = 8
Rylee read 36 pages of a book before putting
it down for a month. She wants to resume
reading the book that is more than 480 pages
long. She plans on finishing the book in
12 days, reading the same amount each day.
5. Which inequality can be used to determine,
p, the number of pages that Rylee must read
P
each day to attain her goal?
A. 12p - 36 < 480
B. 12p + 36 < 480
C. 12p - 36 > 480
D. 12p + 36 > 480
-
Answer:
D. 12p + 36 > 480
Step-by-step explanation:
The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.
__
The inequality expressing a sum greater than 480 is ...
12p +36 > 480 . . . . choice D
You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P500 stock index that represents the stock market, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%.
a. Draw the CML (Capital Market Line) and your funds’ CAL (Capital Allocation Line) on an expected return-standard deviation diagram. Indicate their slopes.
b. Suppose your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch.
c.In the context of part b, Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well of investing in your fund as in the passive one.)
(Hint: The fee will lower the slope of his CAL by reducing the expected return net of the fee.)
The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.
How to calculate the slope?The slope of the capital market line will be:
= (17% - 7% - f)/27
= (10% - f)/27
f = 0.3771
The slope of the capital allocation line will be:
= (13% - 7%) / 25%
= 0.24
The reward to variability ratio will be:
= (17 -7)/27
= 0.3771
The client's reward to variability ratio will be:
= (13 - 7)/25
= 0.25
This shows that the client will be disadvantaged of the switch since it's lower.
Learn more about capital on:
https://brainly.com/question/25672041
How can we use the distributive property to find an expression equivalent to
15(x + 2)? Place the steps in order.
CLEAR
Answer:
15x+30
Step-by-step explanation:
multiply 15 and x + multiply 15 and 2
15x+30
Help plsss its an emergency
Answer:
-8.05E14
Step-by-step explanation:
If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E
Can someone help me with this problem?
[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]
What's the area of the composite figure?
Answer:
[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]
Step-by-step explanation:
Consider rectangle ABCD.
Here,
AB = DC = 9 yd (length = l)
AD = BC = 7 yd (width = w)
Area of this rectangle:
= l * b
= 9 * 7
= 63 yd²
[tex]\rule{150pt}{2pt}[/tex]
Now, take rectangle DEGF.
Here,
DE = FG = 5 yd (length = l)
DF = EG = 4 yd (width = w)
Area of this rectangle:
= l * b
= 5 * 4
= 20 yd²
[tex]\rule{150pt}{2pt}[/tex]
Total area of the compisite figure:
= Area of rectangle ABCD + Area of rectangle DEGF
= 63 yd² + 20 yd²
= 83 yd²
[tex]\rule{150pt}{2pt}[/tex]
Refer to the attachment for the labelling of the figure.PLEASE HELP! I WILL MARK BRAINLIEST AND MARK 5 STARS! THANK YOU!
Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
If Mike walks to school and rides his bicycle back at home it takes him 90 minutes. If he rides his bicycle both ways it takes him 30 minutes. How long would it take the trip to school and back walking? Assume he walks at a constant speed and also rides the bicycle at a constant speed.
Answer:
2 hours 30 minutes
Step-by-step explanation:
Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.
90min-15min = 75min (one way, walking)
2*75min = 150min = 2h 30min
Mike's will walk to school and back home 2h 30min
If 20 articles cost 90, then the cost of 9 articles is ?
Answer:
the cost of 9 articles is 40.5
PLEASE HELP ME!!!
Question 1 Part D (2 points): Which of the following is NOT an example of the closure property as it relates to polynomials?
A.
(x + 2)(2x - 1) = 2x² + 3x - 2
B.
(x³ - x² + 4) - (2x² + 5) = x³ - 3x² - 1
C.
(2x)(0) = 0
D.
(2x³ - x² - 5x + 4) + (x³ - 2x² + 1) = 3x³ - 3x² - 5x + 5
E.
None of the above because all are examples of the closure property as it relates to polynomials
None of the above because all are examples of the closure property as it relates to polynomials.
Closure property of the functionA function is known to be closed if its input value is equal to its output.
Accordng to the question, we need to select the function that obeys the law of closure.
To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.
From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"
Learn more on closure property here: https://brainly.com/question/17475166
An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen
Using it's concept, it is found that the probability that the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The total number of outcomes is given by the combination of k balls from the set of n balls, given by:
[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]
One ball is special, hence the probability the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287