Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
Auto sales in a country increased from 16.5 million in 2014 to 17.5 million in 2015. Find the percent increase in auto sales from 2014 to 2015. Round to the nearest tenth of a percent._______%
Answer:
6.1%
Step-by-step explanation:
Amount increase=17.5-16.5
=1million
% increase= amount increase/original×100% amount
= 1/16.5×100%
= 6.1%
The percentage increase in auto sales is 6.1 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The auto sales of the country in 2014 = 16.5 million
The auto sales of the country in 2015 = 17.5 million
The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014
The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million
= 1 million
Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100
The percentage increase in auto sales = ( 1 / 16.5 ) x 100
= 6.06 %
Therefore , the percentage increase is 6.1 %
Hence , the percentage increase in auto sales if 6.1 %
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What is the u equal to -4=u/2-8
Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.
Step-by-step explanation:
Use the order of operations to simplify 4 + 15 = 5
A 24 4/5
B 19 2/5
C 7 2/5
D 8
Answer:
C
Step-by-step explanation:
ian's car can go 99 miles on 3 gallons of gas During a drive last weekend,Ian used 7 gallons of gas.How far did he drive?Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas He used. He drove____ miles.
Answer:
The answer would be 231 miles.
Step-by-step explanation:
This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?
Answer:
[tex]Total = \$5.94[/tex] ---- in dollars
[tex]Total = 594\ cents[/tex] ---- in cents
5 dollars 94 cents
Step-by-step explanation:
Given
Pears
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$0.76[/tex] per pound
Grapes
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$1.40[/tex] per pound
Required
Determine the amount paid for the fruit in dollar and cents
First, we need to calculate the amount paid for each fruit.
This is calculated by multiplying the amount per pound by the number of pounds bought.
For Pears:
[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]
Convert fraction to decimal
[tex]Total_{Pears} = 2.75 * \$0.76[/tex]
[tex]Total_{Pears} = \$2.09[/tex]
For Grapes
[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]
Convert fraction to decimal
[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]
[tex]Total_{Grapes} = \$3.85[/tex]
Next, we add both amounts together to get the total amount spent in dollars.
[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]
[tex]Total = \$2.09 + \$3.85[/tex]
[tex]Total = \$5.94[/tex]
Multiply by 100 to convert this amount to cents
[tex]Total = 5.94 * 100\ cents[/tex]
[tex]Total = 594\ cents[/tex]
And it can be represented as dollars and cents as:
5 dollars 94 cents
Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?
2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?
Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.
Step-by-step explanation:
Whoever answers correctly gets brainlist.
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.
Answer:
games=$483
system=$161
Step-by-step explanation:
Answer: the cost of the system is $166 and the cost of the games is $498.
Step-by-step explanation:
-3a - 4(a - 6) = 24 - 7a
Solve the equation
Thanks
-3a-4(a-6)=24-7a
-3a-4a+24=24-7a
-7a+24=24-7a
-7a+24=-7a+24
-7a+24-24=-7a+24-24
Simplify
Subtract the numbers
Subtract the numbers
−7a=-7a
Add 7a to both sides of the equation
-7a+7a =-7a+7a
Simplify
Combine like terms
Combine like terms
0=0
answer is 0=0
If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 miles D 12 miles
Answer: The answer is A
Step-by-step explanation: Because 6*20= 120
Find the equation of the tangent line to y=sinx at x=2pie
Answer:
y = x - 2π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopePre-Calculus
Unit CircleCalculus
The definition of a derivative is the slope of the tangent line.
Derivatives of Trig Functions
sin(x) = cos(x)cos(x) = -sin(x)tan(x) = sec²(x)sec(x) = sec(x)tan(x)csc(x) = -csc(x)cot(x)cot(x) = -csc²(x)Step-by-step explanation:
Step 1: Define
y = sinx
x = 2π
Step 2: Find Derivative
Take derivative: y' = cosxThis is the function of the tangent line for y.
Step 3: Find slope
Substitute in x into y': y'(2π) = cos2πEvaluate: y'(2π) = 1This tells us that the slope of the tangent line is 1 at x = 2π.
Step 4: Write equation
Find a point.
Substitute x into y: y(2π) = sin2πEvaluate: y(2π) = 0Write coordinate: (2π, 0)Write tangent function.
Substitute: y - 0 = 1(x - 2π)Simplify: y = x - 2πThis is the equation of the tangent line at x = 2π.
Plz help!
In order for the parallelogram to
be a rectangle, x = [? ]°
13x+349
10x+10°
Answer:
pretty sure its 2
Step-by-step explanation:
ignore the messing hand writing but I think this is why
57x2.3 what is the anser pls help
Answer:
285.00
Step-by-step explanation:
Because you change 57 to a decimal (57.0) then you multiply.
57.0×2.3=285.00
today is my birthday wish me a happy birthday
If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.
Answer:
The answer is c
Step-by-step explanation:
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) (8.99)3 using differentials
Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699
are the triangles congruent? if they are, state how they are congruent.
Answer: Yes
Step-by-step explanation: by SAS
Answer:
Step-by-step explanation:
ASA postulate of congruence.
f(x) = 4x + 2 and g(x) = x2–2, find the value of f(2) +g(3)
Answer:
14
Step-by-step explanation:
f(2)=4(2)+2
f(2)=10
g(3)=2(3)-2
g(3)=6-2
g(3)=4
10+4=14
Answer:
17
Step-by-step explanation:
f(x) = 4x + 2
g(x) = x² - 2
f(2) = 4(2) + 2 = 10
g(3) = 3² - 2 = 7
10 + 7 = 17
A car travels 180 miles in 4 hours. What is
the car’s speed in feet per minute?
Answer:
3,960 feet per minute, brainliest pls
Step-by-step explanation:
Answer:
3960 feet per minute
Step-by-step explanation:
1 mile = 5280 feet
Therefore,
180 miles = 180*5280
180 miles = 950400 feet
1 hour = 60 minutes
So, 4 hours = 240 minutes
Speed if the car
= 950400/240
= 3960 feet per minute
Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f
Write the fraction that would land on point A on the number line.
Why do plants provide animals with fruits such as strawberries, apples, and mangoes?
Answer:
For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z
Answer:
5
Step-by-step explanation:
12 x - 3y / 4 x - Z
=12×3-3×1/3÷4×3-5
=36-1/12-5
=35/7
=5
So the final answer is 5.
Can you Explain how to do this plz
Compare using <,> or = 5 3/4 _ 6 1/4
Answer:
5 3/4 > 6 1/4
Step-by-step explanation:
A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False
Answer:
The statement provided is False.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The statement provided is:
"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."
Thus, the statement provided is False.
ATA movie theater the size of popcorn has decreased by 10%. If the old bag held 14 cups how much does the new bag hold
I think
Step-by-step explanation:
12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4
pleas yall help me ill give a lot of points and brainiest
Answer:
Third choice.
Step-by-step explanation:
The left side is "8 less than 4 times a number"
The right side is "2 times the difference of 2 times the number decreased by 3"
Answer: Third choice.
Which of the following equations represent linear functions?
y=x2−3x
4x+y=5
y=|2x+1|
y=−5
Which equation is the inverse of y = 9x2 – 4?
Answer:
C
Step-by-step explanation:
For edge
Answer:
correct C on e2021
Step-by-step explanation:
What is the equivalent ratios of 4:12
Answer:
8:24
Step-by-step explanation:
Just multiply 4*2 and 12*2
Hope it helps
Answer:
8:24, 24: 72, 16:48
Step-by-step explanation:
There's a lot just multiply them by the same number