The given function is the rate of change of the water depth. therefore,
W'(t) is the second derivative.
The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Reasons:
The volume of water in the tank is 0 at time t = 0 (the tank is empty)
The function that gives the rate at which the depth of water in the tank is
increasing at time t > 0 is W(t).
Where;
t = The time in hours
Therefore;
W'(t), the derivative of the function of the rate at which the water in the
tank is increasing in feet per hour is the rate of increase of W(t).
Which gives;
W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.
Therefore;
W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Learn more about second derivative here:
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a triangle with side 9,10and 11 has the same perimeter as a square with sides of length
Answer:
7.5.
Step-by-step explanation:
A square has 4 equal sides so:
4x = 9 + 10 + 11 where x is the length of one side of the square.
4x = 30
x = 7.5.
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
Complete the problems below. Be sure to show your work! 11. A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.
Answer:
b
Step-by-step explanation:
WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT
Answer: As x increases, the slope of the graph increases.
Help please (MATH)......................
Answer:
ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
Find the inverse of the function 6-5x
ASAP HELPPPPPPPPP PLEASE!!!!
Answer:
1. y=3/5x +1
2. x = -3
3. y = 4
4. y = -1/3x + 4
5. y=5x + 4
6. y= 3/4 x + 1
7. y = 9/4x - 1/2
8. y = 5/3x
9. y = -5x +5
10. y = 2x - 5
11. y = -4x - 4
12. y = 1/4x - 4
Step-by-step explanation:
math lol
What is 3 divided by 7 pretty confused since I was on break for a long time
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
Ok ixl is back up so here’s another question
Answer:
40 products
Step-by-step explanation:
If you take a look at the graph, you'll see that 300 seconds (on left) are required to complete a transaction of 40 products (on bottom).
If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?
Answer:
142.8
Step-by-step explanation:
You can go 20.4 miles per gallon of gas.
You can go 142.8 miles for 7 gallons.
The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?
Answer:
1162 tickets will need to be sold
Step-by-step explanation:
8134 / 7 = 1,162
Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.
Answer:
-10, -8
Step-by-step explanation:
a + b = -18
a * b = 80
Solve:
from the first eq.
a = 18 - b
replacing this value in the secon eq.
(18-b)*b = 80
18*b + b*-b = 80
-b² + 18b = 80
-b² + 18b - 80 = 0
b = {-18±√((18)² - (4*-1*-80))] /(2*-1)
b = {-18±√(324.320)} / -2
b = {-18±√4} / -2
b = {-18±2} / -2
b₁ = {-18-2} / -2 = -20/-2 = 10
b₂ = {-18+2} / -2 = -16/-2 = 8
The two number must be negatives, so the numbers are:
-10 and -8
Check:
-10 + (-8) = -10 - 8 = -18
-10*-8 = 80
2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?
Answer:
21
Step-by-step explanation:
his ratio of shots from the first game would be 14:40 or 7:20
so if he made the same ratio from 60 shots it would be
21:60
How do I solve this
Step-by-step explanation:
exterior angle is the sum of two opposite interior angle
11x+9=3x+12+85
11x-3x=88
8x=88
x=11.
hope this helps you.
Answer:
x=11
Step-by-step explanation:
85 + 3x + 12= 11x+9
97 +3x= 11x+9
-97 -97
3x= 11x - 88
-11x -11x
-8x = -88
/-8 /-8
x=11
Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a starfish over a given time.
Answer: its ''A'' it takes a starfish 60 seconds to travel 1 meter
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Hey guys please give me the correct answer.
Step-by-step explanation:
-5 - 2x < - 4
Bringing like terms on one side
-2x < - 4 + 5
-2x < 1
x < - 1/2
Option none is the correct answer
what is the slope of the line through (0, 1) and (-1, -3)
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]I need help or the answer no one knows what to do
[tex]61 + (6x - 31) = 90[/tex]
Subtract both sides 61
[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]
[tex]6x - 31 = 29[/tex]
Add both sides 31
[tex]6x - 31 + 31 = 29 + 31[/tex]
[tex]6x = 60[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]
[tex]x = 10[/tex]
____________________________________________
Have a great day ♡
Answer:
x = 10
Step-by-step explanation:
It's a 90˚ angle so subtract 61 from 90, which is 29.
Then add 31 to that 29, which would come out to 60.
60 divided by 6 to isolate the variable would come to 10.
Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.
solve the system of equations
y =2x -9
y = x - 4
The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?
If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
Learn more here: https://brainly.com/question/13763238
Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.
Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
Madelynn makes the following statement: "Since I have 28 people that I defi-
nitely want to invite to my party, I might as well choose Party B and invite even
more people."
Was Madelynn correct to go with Party B and invite more people? Explain why or
why not.
Answer:
The only problem was that now it costs more so not really
Step-by-step explanation:
I think its an opinion question
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?
MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?
Answer:
0.65
Step-by-step explanation:
7/6+6/6=13/6
13/6=2 1/6
2*0.3=0.6
[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]
1/20=0.05
0.6+0.05=0.65
A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basket balls to soccer balls is 7:6. The store donates 24 soccer balls. How many basketballs do they donate
The number of basket balls donated is; 28 basket balls
We are told that;
Ratio of basket balls to soccer balls = 7:6
Now, the number of soccer balls donated was 24.
This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x
Thus;
[6/(7 + 6)]x = 24
6x/13 = 24
6x = 24 × 13
6x = 312
x = 312/6
x = 52 balls
Now, since total balls are 52 and soccer balls are 24, then;
Number of basketballs = 52 - 24
Number of basketballs = 28 basketballs
Read more about fraction and proportions at; https://brainly.com/question/1581333
shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?
Answer:
$82,500
Step-by-step explanation:
Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500
pls help…………. …………………
Answer:
d
Step-by-step explanation:
smallest slope
What’s 10^102????????€
Answer:
(2^102•5^102)
Step-by-step explanation:
(10)^102 = (2•5)^102 = 2^102 • 5^102
