Answers
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
Related Questions
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.
Answers
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:
https://brainly.com/question/10305010
help!!!!!!!!! I need help
Answers
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.
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?
Answers
Answer:
it is 6°. because 10 degree - 4 degree = 6 degree
HELP!!!!! I DONT KNOW THIS
Answers
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:
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?
Answers
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
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answers
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
Help help help math math
Answers
Answer:
Step-by-step explanation:
Answer:
volume of sphere is 4000cubic ft..... when
[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]
9. Anna has 102 quarters. Jazmin has
102 dimes. Who has more money, Anna
or Jazmin? How much more? Explain
your reasoning.
Answers
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.
What value of t makes the equation true?
tx3 = 12 x 6
Answers
Answer: 24
Step-by-step explanation:
tx3 = 12 x 6
3t = 12*6
3t = 72
t = 24
3x+4y=12 find x-intercept and y- intercept
Answers
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
Write each number as the product of two or three
prime numbers.
a) 49
b) 42
c) 63
d) 18
Answers
B = 3•7•2
C = 3•3•7
D = 2•3•3
please really need helpppppppp
Answers
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.
help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)
Answers
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
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)
Answers
The easiest way to find the solutions is to graph the equations then observe the coordinate intersections of each graph :)
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
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.
Answers
1 + 1 + 2 = 4
2+2=4
1+2=3
perform the indicated operation 3 1/2 - 1 7/10
Answers
Answer: 1 4/5
Step-by-step explanation:
3 5/10 - 1 7/10 = 1 8/10
1 8/10 = 1 4/5
Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have
Answers
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.
Answers
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
please help due soon
Answers
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Just trust
Someone plz help me :(
Answers
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:
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.
Answers
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.
Answers
Answer:
2664.3
Step-by-step explanation:
Hope this helps!
Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9
Answers
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
i need answer please
Answers
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
(6p+5)×5-6p) expansion using special algebraic identit
Answers
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)
Answers
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 5NoArea 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?
Answers
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
Which best describes how to add 9.73 and 21.6?
Answers
Answer:
31.33
Work:
1 1
9.73
+ 21.60
--------------------
31.33
Final Answer:
Therefore, 31.33 is our answer.
Hoped this helped.
PLS HELP!!! WILL MARK BRAINLIEST!!
Answers
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
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?
Answers
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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