Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]
At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]
After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]
Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
[tex]W=\int_{t=0}^{t=36} F d x[/tex]
Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]
[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]
[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]
[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]
[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
HELP ASAP PLZ DONT GUESS THIS DEPENDS ON MY LIFE FRR(graph in pic)
If Sheila rotates triangle PQR 90° counterclockwise to form triangle LMN, what is the measure of angle MNL?
A.130 °
B.100 °
C.50 °
D.30 °
Answer:
30
Step-by-step explanation:
This is a bit nasty, but you must keep the order in mind. PQR means that Q is the middle letter. M is also the middle letter. That's the easy part. What does MNL mean?
The lettering goes clockwise. MNL is the same thing as QRP. So what is R?
50 + 100 + R = 180
150 + R = 180
R = 180 - 150
R = 30
Help fast please....
Answer:
46 yd²
Step-by-step explanation:
please help me i really need help please
Answer:
45.18 mi
Step-by-step explanation:
What it is asking is to find the value of C.
Formula we're going to use:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
C is the hypotenuse.
Replace with given values, so
[tex] {19}^{2} + {41}^{2} = {c}^{2} [/tex]
Rewrite so there is no squared
[tex]361 + 1681 = {c}^{2} [/tex]
Add the numbers
[tex]2042 = {c}^{2} [/tex]
Find the value of C by square rooting 2042
[tex] \sqrt{2042} = 45.1884941108[/tex]
Answer:
[tex]45.18 \: mi[/tex]
^ 45.19 mi if teacher wants you to round
PLS HELP HELP ME WITH a question pls
Step-by-step explanation:
d.
e +e+25=180°{sum of angle of triangle}
2e+25=180°
2e=155
e=155/2
e=77.5°
e.
55°+55°+f=180°{sum of angle of triangle}
f=180-110
f=70°
hope it helps.
Dennis works at a frozen yogurt store in the summer. He
needs to order boxes of small cups and boxes of large cups.
The storage room can hold up to 10 more boxes of cups.
Each box of small cups costs $100 and each box of large
cups costs $150. A maximum of $1200 is budgeted for cups.
B. Graph The solutions of the system
Answer:
100x+150y≤1200
y≤8-2x/3
slope = -2/3
y-intercept = (0,8)
Step-by-step explanation:
I graphed it on my calculator but I'm not really sure how to explain it beyond just sharing a screenshot of the image
I hope that helps
7m - 13 = 43 plzzzzzzzzzzzz help
Answer:
=8
Step-by-step explanation:
7m-13=43
7m-13+13=43+13
7m=8
3 Convert 6,23 kg to grams
Answer:
6230 grams xD
Step-by-step explanation:
6230 grams..
( it says i have to write 20 letters so i just did this)
look at the picture. please please help im stuck.
Answer:
7 is greater than or equal to x.
Answer:
Hey I’m not sure but I think it’s A
Step-by-step explanation:
Como cálculo el área de las figuras geometrícas porfa para una persona de 5to
Answer:
Se calcula sumando todos los lados (siempre y cuando tengan las mismas unidades). El área de una figura de dos dimensiones se calcula contando el número de cuadrados que pueden cubrir la figura.
Step-by-step explanation:
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
Answer:
2 to the right i belive
find the probability that a randomly selected point within the circle falls in the red shaded area round to the nearest hundredth r = 4 cm 2.5 cm 3 cm 3 cm
Answer:
[tex]p\approx 0.39[/tex]
Step-by-step explanation:
We are given a circle of radius 4 cm, and a triangle inscribed within the circle with a vertical height of 6.5 cm and a base of 6 cm.
To find the probability a randomly selected point lands in the red area, we can divide the red area by the total area.
The area for a circle is given by:
[tex]A=\pi r^2[/tex]
Since the radius is 4 cm, the area of the circle or total area is:
[tex]A=\pi (4)^2=16\pi \text{ cm}^2[/tex]
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base of the triangle is 6 cm total and the vertical height is 6.5 cm. Therefore, the area is:
[tex]\displaystyle A=\frac{1}{2}(6)(6.5)=19.5\text{ cm}^2[/tex]
The probability of landing in the red shaded area is:
[tex]\displaystyle p=\frac{\text{Red Region}}{\text{Total Region}}[/tex]
Therefore:
[tex]\displaystyle p=\frac{19.5}{16\pi}\approx 0.39=39\%[/tex]
hey guys i need some help on this division problem i have
Answer:
3. 25/28
4. 1 1/7
Step-by-step explanation:
when you divide fractions just flip one of them and then multiply across
so instead of 5/7 ÷ 4/5 its
5/7 • 5/4
please mark me brainliest to help me get ace rank
PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!
LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)
Answer:
I think it's (0,3) sorry if it not
Answer:
(3, 0)
Step-by-step explanation:
The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.
so it’s (3,0)
Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.
Calculator
Enter the unknown value that makes this statement true:
25% of O
is 30.
->
-
1
2
3
Answer:
X = 120
Step-by-step explanation:
here's your solution
=> we need to find the number whose 25%
is 30
=>. now , let the number be X
=> solve for X
=>. 25/100*X = 30
=> X = 30*100/25
=> X = 120
hope it helps
True or False.
The expressions 3+y and 13(6+y) are equivalent?
True
False
Answer:
False
Step-by-step explanation:
Brainliest please?
What is the area of the shaded region?
Answer:
17,680 ft²
Step-by-step explanation:
Shaded area = entire shaded rectangle area - unshaded rectangle area - square area
A = 200(100) - 24(30) - 40²
A = 20,000 - 720 - 1600 = 17,680
What is the equation that represents the relationship shown in the table?
I need help with this !!!
Answer:
no it cannot be
Step-by-step explanation:
because :
2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2
6×10=60
10×2=20 after reducing the fraction its 3/1
The perimeter of a worksheet is 40 inches. It is 13 inches long . How tall is it?
Answer:
TALA RHYTHMIC PATTERNS
ACTIVITY 2: LET'S DO TALA
kind of membranophones/percussion instruments found at home for tapping. Record your
Directions: Perform the following tala rhythmic patterns using the given legend. Use any
performance using any recorder and send it to your
INSTRUMENTS AT HOME
MANJIRA
TIN CANS
1 2 3 4 5 6
х
1 2 3 4 5 6 7 8 9 10 11 12
GHATAM
PAL
X
х
0 X
TABLA
1 2 3 4 5 6 7 8 9 10
BOX
x xox
In the expression “six to the power
of four is 1,296," which number is the
base?
A function is one to one if its graph passes the vertical line test. True or False???
Answer:
False.
Step-by-step explanation:
A bowl of cold gazpacho soup is warming to room temperature. The temperature difference
between the soup and the room decreases by 5% every minute. What will the temperature
difference be in 8 minutes if it is currently 24°C?
If necessary, round your answer to the nearest tenth.
Answer: 25
Step-by-step explanation:
PLEASE HELP IM GIVING 100 POINTS AND BRAINLIEST IF THE ANSWERS RIGHT
A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation. (5 points)
a
The experimental probability and relative frequency are the same.
b
The experimental probability is larger than the relative frequency.
c
The experiment probability is smaller than the relative frequency.
d
There is not enough information to determine the relative frequency.
Answer:
Relative frequency is defined as the number of "desired" results divided by the total number of possible results. Experimental probability is defined the same way. This means that the first choice is best, the experimental probability and relative frequency are the same.
The theoretical probability, on the other hand, would be 0.5, or 300/600, which is larger than the experimental probability.
Step-by-step explanation:
btw im in middle school
Solve For X (I could use some help because I'm confused on this)
Answer:
X=10
Step-by-step explanation:
The arc is twice the angle, so 130.
12x+10=130
12x=130-10
12x=120
x=10
What is the answer I need to know
Answer:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Find the volume of the triangular prism below.
A) 28 cubic feet
B) 168 cubic feet
C) 84 cubic feet
D) 52.5 cubic feet
Answer:
b.168
Step-by-step explanation:
PLS HELP
Simply the expression by combining like terms.
6x+9+2x+4=
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
divide 5/8 3/4 in the most simple form
Answer:
15/32
3/4 x 5/8 = 15/32 in fraction form.
Step-by-step explanation:
A rectangular prism has a volume of 240cm. It's height measures 8 cm. What is the area of its base
Answer: Base = 90 [tex]cm^{2}[/tex]
Step-by-step explanation:
what expression is equivalent to 2(x-4)+x
Step-by-step explanation:
2(x-4) + x
= 2x-8 + x
= 3x - 7