Answer:
Step-by-step explanation:
Linear velocity and angular velocity are related by the formula:
v = ωr
ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.
ω = 2 x 2π x 25/1
ω = 100π
v = 100π x 25
= 2500π feet per minute
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
You make a salary of &75,000 per year,
Answer:
oohhhh cool
Step-by-step explanation:
I didn't know I had so much money
PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds
Starting at (0,0) if you were to go up 7 units and left 4 what coordinates would you end up at? What quadrant would you be in
Answer:
(-4,7) and the 2nd quadrant
Step-by-step explanation:
hope this helped
Answer:
Quadrant 2.
Step-by-step explanation:
The quadrants on a graph count counterclockwise.
Owen loves reading and started counting the total number of books reads this year. He adds up the total at the end of each month and his list as follows: {4, 7, 10, 13) Which equation represents the number of books he is reading?
Select one:
1) y = x+ 3
2) y = 3x +1
3) y = 4x
4) y = 3x
Answer: its answer 3, most likely
Step-by-step explanation: i remember this question
what numbers must be added to complete the perfect square?
Answer:
256
Step-by-step explanation:
Let the number be k
Thus, the equation can be written as:
x² – 32x + k
From the above,
a = 1
b = –32
c = k
The value of k can be obtained as follow:
b² = 4ac
(–32)² = 4 × 1 × k
1024 = 4k
Divide both side by 4
k = 1024 / 4
k = 256
Thus, 256 should be added to x² – 32x to make it a perfect square i.e
x² – 32x + 256
****Check****
x² – 32x + k
k = 256
x² – 32x + 256
x² – 16x – 16x + 256
x(x – 16) – 16(x – 16)
(x – 16)(x – 16)
(x – 16)² QED
Which of the following amounts is greater than 6 feet? Select all that apply. A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet
Answer:
A, C, D
Step-by-step explanation:
One number is 8 more than another, and their sum is 80. What is the smaller number?
34
36
38
40
Answer:one number is eight more than twice another and their sum is 20. what are their number? one number = x = 2y+8 another number = y so, (2y+8)+ y=20 simplify 3y+8=20 3y=20-8 3y=12 y=4, checking the answer gives x=2(4)+8=16 so, y = 4 and x = 16 4+16=20
Step-by-step explanation: hi stay safe stay home only this year ok
Explain how the steps in how to solve the equation in the picture. 13=7+p (3 sentences or more.)
Answer:
Integers
Multiplying & Dividing
RULE EXAMPLES
1. Multiply or divide.
2. The answer is positive if
the signs are the same
(both positive or both negative);
negative if the signs are different
(one positive and one negative).
–5 x ( –8) = 40
40 4 = 10
16 x ( –3) = –48
–20 10 = –2
Find each product or quotient.
1. –3 x (–8) 2. –5 x (–5) 3. –15 x 3
24 25 –45
Step-by-step explanation:
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answer:
All the above
Step-by-step explanation:
all of the following are true
Write in standard form the equation y - 9 = 1/3(x - 6).
please help me. i’ve posted this question 4 times in an hour with no response. i needed it 20 mins ago.
Answer:
answer is b
Step-by-step explanation:
Which of the following numbers are less than -0.625?
Choose all answers that apply:
a: -8/5
b: -5/8
c: -0.5
Answer:
A
Step-by-step explanation:
translating the decimal -0.625 to fraction form, you get -5/8, which is equal to B. C is greater, being closer to 0 than -0.625, so that leaves you with A, which is -1.6, and less than -0.625.
NEED HELP MARKING PEOPLE AS BRAINLIST ANDWER IF YOU KNOW
Answer:
it will be C) SAS(side angle side)
16^2+8^2=
Show what you did
Answer:
Step-by-step explanation:
(16*16)+(8*8)
16. 8
16. 8
—————-
96. 64
160
—————-
256+64=320
Answer:
320
Step-by-step explanation:
16^2 + 8^2 = 16 * 16 + 8 * 8 = 256 + 64 = 320
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54
LLEASE HLEP HELP PLEASE HELP
Answer:
V= 301.44
Step-by-step explanation:
the formula for a cone is 1/3 Bxh
B= area of base
h= height
A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour?
Answer:
a.20 minutes
b.3 tasks
Step-by-step explanation:
60 divided by 3 = 20
5. Danny spent $24 on snickers and M&M's. Snickers cost $2 and M&M's cost $3. The number of snickers is 3
less than the number of M&M's. How many Skittles and M&M's did he buy?
Answer:
My guy didnt buy no skittles cause he spent all his money on Snickers and M&M's
Step-by-step explanation:
find the vertex of the following quadratic function
f (x) = -3x² + 7x + 11
a. (0.857 , 4.384)
b. (1.166 , 15.083)
c. (-2.45 , 3.18)
d. (1 , 12)
Answer:
B because it's a fraction I just divided them and got b
Brian makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
9h
Step-by-step explanation:
9 = $/hour
h = hours
Then you would multiply 9 by the number of hours worker, or h.
You typed a 36-word paragraph in 2/3 minute. What is his typing speed,in words per minute? SHOW WORK!!!
Answer:
52
Step-by-step explanation:
36/2=16
16=1/3
16x3=52
52 words= 1 minute
The length of a rectangle is twice its width, while the
perimeter of the rectangle is 36 units. . Which system of
equations can be used to find the length ( and the width w
of the rectangle?
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
solve for answer z/7+19>3.5
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
2) How old am I if 300 reduced by 4 times my age is 44?
Answer:
64
Step-by-step explanation:
300 -4x = 44
(300 - 44)/4= 64
check
64 x 4 =256
300 - 256 = 44
A company has two manufacturing plants with daily production levels of 7x + 19 items and 2x - 7 items, respectively. The first plant production how many more items daily than the second plant? The first plant produces __? More items daily than the second plant.
Answer:
The first plant produces 5x + 26 more items daily than the second plant
Step-by-step explanation:
First plant = 7x + 19
Second plant = 2x - 7
The first plant production how many more items daily than the second plant?
Subtract items produced by the second plant from items produced by the first plant
= 7x + 19 - (2x - 7)
= 7x + 19 - 2x + 7
= 5x + 26
The first plant produces 5x + 26 more items daily than the second plant.
Marcus has a summer job where he makes $45 per day. Yesterday his boss told him he was getting a raise to $63 per day because he was such a hard worker. What is the percent increase in Marcus' salary? Write a number answer without a dollar sign.
Answer:
40% increase
Step-by-step explanation:
63/45 = 1.4 = 140%
63 is 140% of 45 meaning it is a 40% increase
The percent increase in Marcus' salary is 40% as per percentage calculation.
What is percentage calculation?"Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%."
Given, Marcus has a current job that pays $45 per day.
From yesterday, he is getting $63 per day.
Therefore, the increase in daily salary = $(63-45) = $18.
Therefore, the percentage increase of his daily salary = (18/45) × 100 = 40%.
Learn more about percentage calculation here: https://brainly.com/question/92258
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how do you find the y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
so to find that you can use y=mx+b, or you can use point slope form and that would be y-y1+m(x-x1)
remember m= slope b= y- intercept
35
How do you write as a percentage?
50
Answer:
0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.
Step-by-step explanation:
Hope this helps!