A circular oil spill in the ocean is increasing in diameter at a rate of 200 feet per hour. By how many square feet is the oil spill increasing per hour?
Increase in diameter: d(h) = 200h; h in hours
Increase in area: A(d) = π(0.5d)2; d in feet
Which composite function represents the total area of the oil spill as a function of hours?
Answer:
A(d(h)) = π(100h)2
Step-by-step explanation:
In edge it would be C
When solving these word problems it is helpful to remember that they ask us to use composition of functions to solve it so if it is the total area in regards to hours, what you would need to do look at the problem in this manner:
A( (d(h) )= A (Pi(0.5x200h)^2
and when you simplify like terms it would be:
Pi(100h)^2
A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?
At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent
Answer:
$4.54
Step-by-step explanation:
Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.
A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer:
3/8 gramsStep-by-step explanation:
1 tablet ⇒ 1/4 gramsMultiply the amount of tablets by 1/4 to find the answer
1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 gramsI need a lot of help
Answer:
D
Step-by-step explanation:
The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?
Answer:
40
Step-by-step explanation:
12 + 28
Answer:
40°
Step-by-step explanation:
So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D
The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
days
10n + 15 = 9n + 36
Answer:
n=5
Step-by-step explanation:
Answer:
n=21
Step-by-step explanation:
My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.
Answer:
A, D, and Eso basically, It has helped create new businesses. It has shaped the character of the country. It has given us benefits that other countries do not have.
Answer:
A,D, and E
Step-by-step explanation:
just answered the question
What is the line segment of BD
What strategy can you use to solve rate problems?
Find the sum of 9r^2+4r-7) + (3r^2-3r
Answer
12r2 +r − 7
Step-by-step explanation:
in the figure, △ABC is similar to △DEF. what is m∠1
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times
Answer:
True
Step-by-step explanation:
No need for explanation
A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?
Answer:
6/49
Step-by-step explanation:
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?
The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:
A = (b₁ + b₂) h / 2
We're given A = 864, h = 24, and one of the bases has length 30, so
864 = (b₁ + 30) 24 / 2
864 = (b₁ + 30) 12
864 = (b₁ + 30) 12
72 = b₁ + 30
b₁ = 42
The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.
Answer:
-1.88cm/min
Step-by-step explanation:
Given
dh/dt = 1.5cm/min
dA/dt = 3.5cm²/min
Height h = 10cm
Area A = 86cm²
Required
db/dt
b is the base
h is the height.
Area of a triangle A = 1/2bh
dA/dt = dA/db•db/dt + dA/dh •dh/dt
dA/db = h/2 = 10/2 = 5cm
Get the base
86 = 1/2(10)b
5b = 86
b = 17.2cm
dA/ dh = 1/2b = 1/2(17.2)
dA/dh = 8.6cm
.substitute given values into the formula above;
dA/dt = dA/db•db/dt + dA/dh •dh/dt
3.5 = 5 db/dt + 8.6(1.5)
3.5 = 5 db/dt + 12.9
5 db/dt = 3.5-12.9
5 db/dt = -9.4
db/dt = -9.4/5
db/dt = -1.88cm/min
Hence the base is changing at -1.88cm/min
Solve the equation.
2(x + 5) = 2x – 3
Answer:
2(x+5)=2x-3
2x+10=2x-3
2x-2x= -3-10
0= -13
Step-by-step explanation:
..............................................................
Answer:
What's your question...
Answer:
thanks for the points my guy
Step-by-step explanation:
Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.
Company B is cheaper by $180.
Company A is cheaper by $8,000.
Company B is cheaper by $8,000.
Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.
Answer:
Company B is cheaper by $180.
Step-by-step explanation:
just do 1,200 square feet x 0.15 = 180
Answer:
b as in big cat
Step-by-step explanation:
Drag the missing statements and reasons to the correct spot to complete the proof
Answer:
See attached
Step-by-step explanation:
Answer is attached
Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.
Answer: He is more likely to win more money than lose money, but he has a equal chance of winning/losing.
The answer is number B
In \triangle BCD,△BCD, \overline{DB}\cong \overline{CD} DB ≅ CD and \text{m}\angle C = 36^{\circ}.m∠C=36 ∘ . Find \text{m}\angle D.m∠D.
The measure of m∠D will be 36 degrees
What is a triangle?A triangle is a shape with 3 sides and angles
For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.
For the given triangle m<C = m<DGiven that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees
Learn more on isosceles triangle here: https://brainly.com/question/1475130
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
ill mark you brailiest
Answer:
According to this author, the stories about Nancy Hart
✔ likely have some basis in truth
.
As a result, they are
✔ very important
to the study of Georgia’s past
Step-by-step explanation:
I just took it on Edge 2020
Does anyone have the answers to this worksheet plz I need ASAP!?
Will make you brainliest!!! If correct!!
Answer:
Step-by-step explanation:
y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )
y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )
Write a multiplication expression without exponents that is equivalent to 3^4
How many factors of 3 did you write?
Answer:
Answer: 3⁴ = 3×3×3×3
3⁴ means multiply four threes together.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
You just needed to Multiply maning the three, 4 times
What is 4 ÷
3
5
pls help me i am time
Answer: 1.25 and .8
Step-by-step explanation:
Answer:20 over 3
Step-by-step explanation:
a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Plz Help
Answer:
y=-4x+5 or -8/2x+5
Step-by-step explanation:
rise over run, to get the slope. when you do this you get rise is 8 because you count from one point to the other on the y axis and get 13-5=8. Then run is 2 do the same but for the x-axis and get 2-0=2. so you end up with 8/2 or 4 and since the line is going downwards its negative. The y intercept is 5 because that's where it intersects the y-axis. and the 5 is positive because it is a positive y, where the point of intersection is