Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is [tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex] and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:
[tex]W_1=32(\frac{50-x}{2})[/tex]
Work done to lift the bucket by distance x feet:
[tex]W_2=(19-\frac{x}{5})(8.3)x[/tex]
On reaching top 7 gallons of water spilled out so , on going up by x feet [tex]\frac{7x}{35}=\frac{x}{5}[/tex] gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:
[tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex]
Now the work to get the bucket to the top of the cliff i.e. x =35
[tex]W=16(50-35)+(19-\frac{35}{5})(8.3)(35)[/tex]
W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is [tex]W=16(50-x)+(19-\frac{x}{5})(8.3)x[/tex] and the work to get the bucket to the top of the cliff is 3726 foot-lbs
answerrr pleaseeeeeeeeeeeee
in 2015, Oklahoma experienced 907 perceptible earthquakes (far surpassing California), for an average of about 2.5 perceptible earthquakes per day. Consider perceptible earthquakes that occur independently with a constant daily rate of 2.5 What is the probability that a given day would have 1 perceptible earthquake?
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8 and children are seated at tables of exactly 18. What is the minimum number of children attending?
Answer:
LCD=72, but technically 0 because who said any kids were attending
Step-by-step explanation:
You are finding the Least common denominator I assume,
So, keep multiplying 18 by a number until you can find 8 multipled by a different number that matches the answer
18*4=72
8*9=72, hurray you done did it
The minimum number of children attending the dinner party will be 72.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8, and children are seated at tables of exactly 18.
Let 'x' and 'y' be the number of tables for adults and children. Then we have
8x = 18y
x / y = 18 / 8
x / y = 9 / 4
The minimum number of children attending the dinner party will be given as,
⇒ 4 x 18
⇒ 72
The minimum number of children attending the dinner party will be 72.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
What is the length of segment LM?
thank you :)
Answer:
length of segment LM is 23.
Multiply each pair of factors. Type the product in
the space provided
(6 + 3)(6 - 31)
(4-57)(4+ 5) -
(-387)(-3 - 81) -
Answer:
I hope this help
The answer is 24
Answer:
45. Second part is -36 then -4+28i
41
72
Step-by-step explanation:
Just did on edg 2021
There are two whole numbers which whe
multiplied by itself gives the same number. Wh
are they
8. A taxi driver filled his petrol tank with 40 litres
petrol on one day and 45 litres of petrol on the
next day. If the cost of petrol is * 54 per litre,
the amount spent on petrol in these two days
9. A dairy supplies 40 litres of milk in the morn
and 50 litres of milk in the evening. If the
of milk ist 24 per litre, find the total sa
rupees.
8)
Petrol filled on Monday = 40 liters
Petrol filled on next day = 50liters
Total petrol filled = 90liters
Now, Cost of 1 liter petrol = Rs. 44
Cost of 90 liters petrol = 44 x90
= 44 x (100 – 10)
= 44 x 100 – 44 x10
= 4400 – 440
= Rs. 3960
Therefore, he spent Rs. 3960 on petrol.9
9)
Milk supplied in morning =40 liters
Milk supplied in evening =50 liters
Total milk supplied in one day = 90 liters
Cost of 1 litre milk =24 rupees
Cost of 90 liters milk=24 ×90
=2,160 ruees.
HOPE IT WILL HELP YOU.
PLEASE MARK IT AS BRILLIANT ANSWER.
BRAINLIEST TO FIRST ONE THATS CORRECT ANSWER!!
Find the area of the patio
15,077,500
Area= W * H
In this case area would be 1850 * 8150 which equals 15,077,500
Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age they think they will become financially independent. The responses of 944 teenagers who answered this survey question as follows:
Age Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Consider the experiment of randomly selecting a teenager from the population of teenagers aged to 14 to 18.
Required:
a. Compute the probability of being financially independent for each of the four age categories.
b. What is the probability of being financially independent before the age of 25?
c. What is the probability of being financially independent after the age of 24?
Answer:
(a) Shown below
(b) 0.68
(c) 0.32
Step-by-step explanation:
The frequency distribution is:
Age Group Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Total 944
(a)
Compute the probability of being financially independent for each of the four age categories as follows:
[tex]P(\text{16 to 20})=\frac{151}{944}=0.159958\approx 0.16\\\\P(\text{21 to 24})=\frac{487}{944}=0.515890\approx 0.52\\\\P(\text{25 to 27})=\frac{244}{944}=0.258475\approx 0.26\\\\P(\text{28 or older})=\frac{62}{944}=0.065678\approx 0.06[/tex]
(b)
Compute the probability of being financially independent before the age of 25 as follows:
P (Financially Independent before 25) = P (16 to 20) + P (21 to 24)
= 0.16 + 0.52
= 0.68
Thus, the probability of being financially independent before the age of 25 is 0.68
(c)
Compute the probability of being financially independent after the age of 24 as follows:
P (Financially Independent after 24) = P (25 to 27) + P (28 or older)
= 0.26 + 0.06
= 0.32
Thus, the probability of being financially independent after the age of 24 is 0.32.
y = −x2 − 8x − 15 vertex
Answer: The vertex is (-4,1)
Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.
Write an equation for the line that goes through the point (7,1) and has a slope of -1
Answer: y = -x + 8
Step-by-step explanation:
Use the slope given and Substitute the y and x-values from the given coordinate into the equation and solve for b
y = mx + b
1 = -1(7) + b
1 = -7 + b
8 = b
Rewrite the equation without the y and x values, substitute the value of b
y = -x + 8
(1 disappears, as 1 is implied in multiplication but keep the negative sign)
convert a repeating decimal to a fraction
Answer:
Step-by-step explanation:
Convert a Repeating Decimal to a Fraction
Create an equation such that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
Subtract the second equation from the first equation.
Solve for x.
Reduce the fraction.
Answer:
2/3 = 0.66 repeated
Step-by-step explanation:
(4x3) x 6= (2x3) x is what
Answer:
4 x 3 = 12 x 6 = 72
2 x 3 = 6 x 12 = 72
x = 12
Step-by-step explanation:
The answer is at the top
8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were strawberry?
Answer:
33 1/3%
Step-by-step explanation:
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answer:
$76.80
Step-by-step explanation:
120/80 equals how many times the next route is larger than the first one. Which is 1.5 times larger.
Take the first earning of 51.20 and multiply by 1.5 to get 76.80
120/80=1.5
51.20*1.5=76.8
On the next route the truck driver earns $76.80.
Answer:
The truck driver will be making $76.80 on his next route.
Step-by-step explanation:
First, you calculate the amount of money he makes per mile by dividing $51.20 by 80 miles. Then you take that pay rate, and multiply by 120 miles.
Write a ratio for the following situation: For every 5 female teachers, there are 2 male teachers
Answer:
the answer would be 5:2
01:37:35
What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10
Answer:
35
Step-by-step explanation:
47-12=35
Please help!!
If KL NM and KN ≈ KM, find NM and mMKN.
A. NM = 6; mK=70°
B. NM = 9; mK=35°
C. NM = 12; mK=55
D. NM = 12; mK=70
Answer:
It's D. NM = 12; mK=70
Step-by-step explanation:
i just did it on edge but this for people who need it now. bc it's been a year 4 u.
Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?
Answer:
1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph
Step-by-step explanation:
Answer:
0.80mph
Step-by-step explanation:
If 1/5 = 1/4, then:
she swims 1/5 miles for every 1/4 (fourth) of an hour
per hour means 1 hour
we must covert 1/4 to 4/4 (one mile)
1/4 × 4/1 = 4/4
if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles
1/5 × 4/1 = 4/5
Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph
*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*
The area of a square is 36 square inches. What is the perimeter of half the square?
The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.
The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:
A = s²
36 sq. units = s²
√(36 sq. units) = √s²
6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)
Therefore, ...
P = 4s
P = 4(6 units)
P = 24 units is the perimeter of a square whose area is 36 square units
The Indian Ocean covers 2.808 x 10^7 square miles. Colorado covers 1.04 x 10^5 square miles. How many times bigger than Colorado is the Indian Ocean?
Approximately 2.7 times bigger
Approximately 27 times bigger
Approximately 270 times bigger
Approximately 27000 bigger
Answer:
Approximately 27 times bigger
Step-by-step explanation:
Which number is the coefficient in the following equation
300x + 45 = 760
Answer:
300
Step-by-step explanation:
The number that is the coefficient in the equation 300x + 45 = 760 is 300
How to determine the coefficient?The equation is given as:
300x + 45 = 760
Consider the following expression:
bx + a
b in bx represents the coefficient, x represents the variable, and a represents a term
Using the above as a guide in 300x + 45 = 760;
The coefficient in the equation 300x + 45 = 760 is 300
Read more about coefficient at:
https://brainly.com/question/2972832
#SPJ9
how do you solve the equation 8-5w= -37
Answer:
w=25/4=6.50
Step-by-step explanation:
A rectangular kitchen is 11 ft by 17 ft. How many square tiles, each with a perimeter 24 inches, are needed to cover the floor?
Answer:
7.7916
Step-by-step explanation:
Multiply 11 by 17 which equals 187,
do 187 / 24 which equals 7.7916 tiles.
Hope this helps!
Use the Distributive Property to write an expression equivalent to 5 x (3 + 4)
Answer:
15 + 20
Step-by-step explanation:
Step 1: Write expression
5 × (3 + 4)
Step 2: Distribute 5 to each term
5(3) + 5(4)
Step 3: Simplify
15 + 20
Casey buys a bracelet. She pays for the bracelet and pays $0.72 sales tax. The sales tax rate is 6%, percent.
What is the original price of the bracelet, before tax?
Answer:
12$
Step-by-step explanation: 100/6 then multiply it by .72=12$
Answer
$12
Step-by-step explanation:
theres a picture on how I did it that I linked.
What is the least common denominator for 1/2 & 2/3 ?
Answer: 6
Step-by-step explanation:
1/2 = 3/6
2/3 = 4/6
wat is the answer to [x l 2 < x < 2]
Answer: the empty set
Step-by-step explanation:
There are no real numbers x such that x>2 and x<2, simultaneously.
Answer:
x= -0.7667
Step-by-step explanation:
³√3²×5²×2³√3×5 help me plz
Answer:
750
3000 6^√3= 3602.8109
Step-by-step explanation:
i cant tell for the middle part if its
2. ³√3 or 2³. √3
so the first answer is for the first one and the second is for the second one
A rectangle has length 4 yards more than its width. The area of the rectangle is 96 square yards. Find the
length and the width.
Answer:
Length = 12
Width = 8
Step-by-step explanation:
Area of a Rectangle = l x w
12 x 8 = 96
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t = 1/500d. How long will it take the airplane to travel 800 miles? 400 miles? 200 miles?
please refer to this...............