Answer:
f=7
Step-by-step explanation:
42=6f
/6 /6
42/6=7
You divide 6 from 42, which leaves you with 7=f.
At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?
a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. 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.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.
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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i need answer please
The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.
What is a right angle triangle?Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
15² + 14² = x²
225 + 196 = x²
x = √421
x = 20.5182845287
x ≈ 20.5 cm
learn more on right angle triangle here:https://brainly.com/question/3770177
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
2664.3
Step-by-step explanation:
Hope this helps!
Someone plz help me :(
Answer:
c
Step-by-step explanation:
when we add 0 to x ,it remains x.
x+0=x
0 is additive identity.
Answer:
C
Step-by-step explanation:
Write each number as the product of two or three
prime numbers.
a) 49
b) 42
c) 63
d) 18
please help due soon
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: https://brainly.com/question/16863577
2x - 8 algebraic expression
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
3x+4y=12 find x-intercept and y- intercept
Answer:
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
x = 4
y = 3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
slope = -0.750
Will mark Brainliest for the correct answer:
Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)
Step-by-step explanation:
#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponentLet's see
Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5Noperform the indicated operation 3 1/2 - 1 7/10
Answer: 1 4/5
Step-by-step explanation:
3 5/10 - 1 7/10 = 1 8/10
1 8/10 = 1 4/5
Which best describes how to add 9.73 and 21.6?
Answer:
31.33
Work:
1 1
9.73
+ 21.60
--------------------
31.33
Final Answer:
Therefore, 31.33 is our answer.
Hoped this helped.
Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.
a. How many area codes can be created if digits are allowed to be repeated?
b. How many area codes can be created if digits are not allowed to be repeated?
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
Answer this question!
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
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9. Anna has 102 quarters. Jazmin has
102 dimes. Who has more money, Anna
or Jazmin? How much more? Explain
your reasoning.
Answer:
Anna, Quarters are worth more than dimes
Step-by-step explanation:
While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.
Answer:
Anna has more money than Jasmine. Anna has $25.50 while Jasmine has $10.20. There is a $15.30 difference.
Step-by-step explanation:
While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Help help help math math
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answer:
614.5
Step-by-step explanation:
Hope this helps!
Answer:
87.9
Step-by-step explanation:
The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.
πr^2
(3.14)(14^2)
(3.14)(196) ≈ 87.9
9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
PLEASE HELP‼️‼️ILL MARK BRAINLYEST ‼️‼️I MEAN IT PLEASE ‼️‼️‼️‼️‼️‼️‼️15 POINTS PLEASE ‼️‼️
Given the two similar triangles below, which proportion is not true?
Answer:
1. Yes; 2. Yes ; 3. No; 4. Yes
Step-by-step explanation:
The proportion will have to be read the same way. For example top Δ bottom to the lower Δ bottom (locate in the same place)
14/21 = 6 /9 Yes because the top Δ bottom to lower Δ bottom = top side to
lower same side
13.5/21 = 9/ 14 Yes because the same two sides to the same two sides in
the lower Δ
9/13.5 = 6 21 No because top Δ side to lower Δ same location but the
second one top Δ side to the lower bottom
14 /6 = 21/6 Yes because top Δ bottom to top side = lower Δ bottom to
lower side (in the same place)
Adding this so you can give the other dude the brailyist
Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.
help!!!!!!!!! I need help
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
What value of t makes the equation true?
tx3 = 12 x 6
Answer: 24
Step-by-step explanation:
tx3 = 12 x 6
3t = 12*6
3t = 72
t = 24
please really need helpppppppp
Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]
Step-by-step explanation:
If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.
The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.
help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)
Answer:
1. 0.0086
2. 0.0059
3. 0.0124
4. 0.0894
5. 0.0667
6. 4.578
7. 67.58
8. 99789.5
9. 685.31
10. 23500
Step-by-step explanation:
Use calculator or find the pattern
for problems under B, multiply the quotient by the dividend
HELP!!!!! I DONT KNOW THIS
Answer:
neither
Step-by-step explanation:
exponential grows larger with each step and liner is constant
Answer:
Exponential because you don't start at 0
Step-by-step explanation: