The amount that William would save by paying cash instead of credit card is $1
What is a Discount?This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.
Hence, given that there is a discount of $0.05 per gallon if you pay with cash
William fills 20 gallons of gas
The amount saved by paying cash by William would be 0.05 * 20 = $1
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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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perform 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.
5c−4c+c equavilent like terms
Answer:
yes they are like terms
Step-by-step explanation:
they are like terms as the variables are same 5c-4c+
Hello there!
Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.Hope it helps.
Good luck with your studies.
Answered by
~A lonely teen who helps people joyfully
Grace
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
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
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
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.
21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
209259
Step-by-step explanation:
45200 / 21.6 = 209259.259259
209259.259259 rounded to nearest whole number = 209259
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.
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.
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31
six and seven on this wkst!!!!!
Answer:
6.) x=5/4
7.) x=-6
Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)
Step-by-step explanation:
Just ask!
Hope this helps. :))
Sorry if I'm wrong.
~Happy Holidays!!~ o(*￣▽￣*)ブ
En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?
Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.
Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.
En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.
Usando una regla de tres podemos determinar la tendencia general:
Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.18 = 620x = 3120x = 18 x 3120 / 620x = 56160 / 620x= 90Es decir que aproximadamente 90 personas tienen esta misma preferencia.
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PLS ANSWER URGENT
1. Larry writes a list of numbers that has average 14, median 21 and mode 11
(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?
(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?
Answer:
See step-by-step below!
Step-by-step explanation:
a) Moe's list:
Average=26
Median=33
Mode= 23
b) Curly's list
Average= 28
Median= 42
Mode= 22
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:
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
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!
what are all the roots of the function f(x)= x^3+3x^2-x-3
Answer:
\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}
Step-by-step explanation:
Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have
what is the slope of a line with points (0,3) and (5,18)
Answer:
bye
Step-by-step explanation:
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
(6p+5)×5-6p) expansion using special algebraic identit
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
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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PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!
Answer:
6; 6⁒2
10; 10⁒2
0; 3(0)+3
1; 3(1)+3
2; 3(2)+3
3; 3(3)+3
4; 3(4)+3
Step-by-step explanation:
each line is in order.
Answer:
6. inputs: 2, 6, 10
8. inputs: 0, 1, 2, 3, 4
Step-by-step explanation:
Use your knowledge of arithmetic facts.
6.x = 2, 2÷2 = 1
x = 6, 6÷2 = 3
x = 10, 10÷2 = 5
__
8.x = 0, 3×0 +3 = 3
x = 1, 3×1 +3 = 6
x = 2, 3×2 +3 = 9
x = 3, 3×3 +3 = 12
x = 4, 3×4 +3 = 15
Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
119/30
Simplified please help this is urgent
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.
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
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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.