Answer:
Calculus is when you make that amount of time tinier and tinier and tinier, and that makes the distance tinier and tinier and tinier too, so that, at that moment, the tiny distance divided by the tiny time is 31 miles per hour, but a second later it might be 30 mph or 32 mph or something else.
Step-by-step explanation:
Calculus is a branch of mathematics that involves the study of rates of change. ... Calculus helped to determine how particles, stars, and matter actually move and change in real time. Calculus is used in a multitude of fields that you wouldn't ordinarily think would make use of its concepts.
Categories
It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns accumulation of quantities, and areas under or between curves.
Find the rate of change of the function by using two points from the table.
How are zeros identified in a rational expression? Please explain thoroughly.
Answer:
To find the zeroes of a rational function, set the numerator equal to zero and solve for the \begin{align*}x\end{align*} values. When a hole and a zero occur at the same point, the hole wins and there is no zero at that point.
Step-by-step explanation:
You deposit $400 each month into an account earning 3% interest compounded monthly.
a) How much will you have in the account in 30 years?
$
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
$
3% means 1.03 per year
multiplier 1.03
After 30 years
400 x[ (1.03) 30 times] = $970.91
The disk has a diameter of 7cm ,Maria wants to put a string around it twice, what would be the length of the string?
Answer:
3.5 i think? correct me if im wrong ;-;
HELP ASAP!! WILL MARK BRAINLIEST !!!
Write an equation for the area A of the figure. Then determine the maximum possible area of the figure.
Area: A=
Maximum area: ___ square units
Answer:
Step-by-step explanation:
The maximum area of the figure is 4.5 square units.
Given,
Write an equation for area A of the figure.
Then determine the maximum possible area of the figure.
What is the area of a right-angled triangle?It is given by:
Area = 1/2 x base x height
When we maximize an area we must differentiate the area.
If A is the area.
A' = 0
We have,
From the figure:
Base = 6 - b
Height = b
Now,
Area = 1/2 x base x height
Area = 1/2 x ( 6 - b ) x b
A = (6b - b²) / 2
A = 3b - b²/2
When we maximize an area we must differentiate the area and thus,
A' = 0
So,
A' = 3 - 2b/2
0 = 3 - b
b = 3
Now,
A = 3b - b²/2
A = 3 x 3 - 3²/2
A = 9 - 9/2
A = (18 - 9) / 2
A = 9/2
A = 4.5 square units.
Thus the maximum area of the figure is 4.5 square units.
Learn more about finding the maximum area of a rectangle here:
https://brainly.com/question/14989725
#SPJ2
The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 64 individuals from the US, what is the probability that the sample mean exceeds the W.H.O. minimum?
Answer:
W.H.O
Step-by-step explanation:
ask my shoe and your mama
Y = 8x + 134 identify and intercept the slope
Answer:
Slope: 8
Intercept: 134
How many solutions does the equation −3x−17=−17−3x have?
Answer:
an infinite number of solutions
Step-by-step explanation:
−3x −17 = −17 −3x
left side = right side TRUE because -3x-17 is the same as -17-3x
we can rearrange the the equation
−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations
-3x = -3x, divide both sides by (-3)
x = x
Since this equation is always true ( for any number ) we have an infinite number of solutions (since there are is an infinity of numbers.)
pls give ans for the image
Need help with this please
Answer:
276.1875
Step-by-step explanation:
make me brainliest
Answer:
276
Step-by-step explanation:
jJHgplugouogoufuofogugup
(a+b)²-(a+b)⁵ nhờ mn giải hộ mik
[tex](a \: + \: b \: {)}^{2} \times (1 - \: a \: - \: b \: )[/tex]
hope it helps!On a hot day, Jeffrey poured 4 5/6 buckets of water into a plastic wading pool. A few minutes later he added another 1 5/6 buckets. How much water did Jeffrey pour into the pool?
How many grams are there in 2.50 moles of potassium nitrate?
Answer:
Answer: 252.77 g of potassium nitrateExplanation:2.50 mol KNO3 x __101.108 g__ = 252.77 g of KNO3 1 mol KNO3.
Answer:
252.77 g
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
m is less than or equal to -3
Step-by-step explanation:
-6m+(-4)>=14
-6m>=18
m<=-3
Complete the table for the function h(x) = 4x + 2 for the given domain.
Help asap
Answer:
C.) {x│x≠±4,x≠0}
Step-by-step explanation:
Question[Eksponen]
58²² ÷ 44²⁴ =
Answer:
≈ 0.225191
Step-by-step explanation:
[tex]58^{22}\div 44^{24}=\left(\dfrac{58}{44}\right)^{22}\cdot\dfrac{1}{44^2}\approx\dfrac{435.970}{1936}\approx0.225191[/tex]
Can someone please help with this geometry ( no links)
Answer:
2
Step-by-step explanation:
Allen had $312.18 in his checking account. He wrote a check for $37.12 . Find his new balance.
Answer:
275.06
Step-by-step explanation:
Checks would take away money from the bank account.
312.18 - 37.12
Subtract the check from the bank account
275.06
Hope this helps :)
A standard normal distribution is a normal distribution with:
Answer:
with a mean of zero and standard deviation of 1
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck
driver. The sum of the annual salaries of the warehouse manager and office manager is $75000. The sum of the
annual salary of the office manager and the truck driver is $75000. The annual salaries of the warehouse
manager and the truck driver total $70000. What is the annual salary of each of the co-workers?
Answer:
Let's make each of these workers' salaries a variable. For our purposes:
x = the annual salary of the warehouse manager
y = the annual salary of the office manager
z = the annual salary of the truck driver
*Since all of our variables describe an "annual salary" in dollars, we do not have to perform unit conversions.
From the sentence, "The sum of the annual salaries of the warehouse manager and office manager is $75000," we can derive the equation:
warehouse manager + office manager = 75000
x + y = 75000
From this sentence, "The sum of the annual salary of the office manager and the truck driver is $75000," we get:
office manager + truck driver = 75000
y + z = 75000
Finally, since "The annual salaries of the warehouse manager and the truck driver total $70000," we know that:
warehouse manager + truck driver = 70000
x + z = 70000
From the above equations, we can create a system of equations to reach the solution.
x + y = 75000
y + z = 75000
x + z = 70000
Using the substitution method and basic algebra, this question is easy! Let's solve for x, the warehouse manager's salary, first:
x + z = 70000
z = 70000 - x
y + z = 75000
y + (70000 - x) = 75000
y + 70000 - x = 75000
y - x = 5000
y = 5000 + x
x + y = 75000
x + (5000 + x) = 75000
x + x + 5000 = 75000
2x + 5000 = 75000
2x = 70000
x = $35000 = warehouse manager's annual salary
Now that we have solved for one of the variables, we can substitute our answer back in to get a quicker result:
x + z = 70000
(35000) + z = 70000
z = 35000$ = truck driver's annual salary
y + z = 75000
y + (35000) = 75000
y = $40000 = office manager's salary
So, our answers would be that:
The warehouse manager's annual salary is $35000.
The office manager's annual salary is $40000.
The truck driver's annual salary is $35000.
If you know that A neq 0 and B neq 0, how can you write an equation in point-slope form of the equation Ax + By = C?
The equation of the line in point slope form when y and x neq 0 is:
Answer:
no
Step-by-step explanation:
help me with this please no links!!
Answer: The answer is the second one (the one in the middle
whats the answer to this question
Answer:
X and y answer is 45 degrees
Answer:
x = 20, y = 70 degrees.
Step-by-step explanation:
x + y = 90 degrees ( As the large triangle is right-angled).
Now x is the base angle of an isosceles triangle so the small angle that is part of the right angle = x. Call this angle z.
Consider the small triangle which includes 40 degrees:
y + 40 + 90 - z = 180 But as z = x:
y + 130 - x = 180
y - x = 50
Adding the equation to the highlighted equation above we have:
2y = 90 + 50
2y = 140
y = 70 degrees.
So x + 70 = 90
giving x = 20 degrees.
A manufacturing machine has a 2% defect rate. If 10 items are chosen at random, what is the probability that at least one will have a defect
Answer:
2%
Step-by-step explanation:
f(x) = 5(x-4) - 10
How do I find the X and Y intercepts just from this?
Answer:
x-int=6
y-int=30
Step-by-step explanation:
To find the x-intercept, first set F(x)=0, then solve for x.
0=5(x-4)-10
0=5x-20-10
0=5x-30
30=5x
6=x <- the location where y is 0
To find the y-intercept, first set x=0, then solve for F(0).
F(0)=5(0-4)-10
F(0)=-20-10
F(0)=-30 <- the location where x is 0
Answer:
X-intercept: (6, 0)
Y-intercept: (0, -30)
Step-by-step explanation:
DefinitionsThe y-intercept is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). Thus, the corresponding x-coordinate of a y-intercept is 0. The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). Hence, with the x-intercept is the value of x when y = 0. Solutions:Given the function, f(x) = 5(x - 4) - 10:
We could easily find the y-intercept by setting the value of x = 0.
f(0) = 5(0 - 4) - 10
f(0) = 5(- 4) - 10
f(0) = -20 - 10
f(0) = -30
Therefore, the y-intercept of the given function is (0, -30).
Similarly, we can solve for the x-intercept by setting the value of y = 0:
f(x) = 5(x - 4) - 10
0 = 5(x - 4) - 10
Distribute 5 into the parenthesis on the right-hand side of the equation:
0 = 5x - 20 - 10
Combine like terms:
0 = 5x - 30
Add 30 to both sides:
0 + 30 = 5x - 30 + 30
30 = 5x
Divide both sides by 5 to solve for the value of x:
[tex]\mathsf{\frac{30}{5}\:=\:\frac{5x}{5}}[/tex]
x = 6
Therefore, the x-intercept of the function is (6, 0).
Quick Side Note:The given function can be transformed into its slope-intercept form, f(x) = mx + b by distributing 5 into the parenthesis:
f(x) = 5(x - 4) - 10
f(x) = 5x - 20 - 10
f(x) = 5x - 30 ⇒ This is the slope-intercept form, where the slope, m = 5, and the y-intercept, b = -30.
Aisha has been taking music lessons. This year, she has taken 3 piano lessons for every 2 guitar lessons If Aisha has taken 48 piano lessons this year, how many guitar lessons has she taken?
Answer:
32 guitar lessons
Step-by-step explanation:
3 piano lessons : 2 guitar lessons = 48 piano lessons : x guitar lessons
3/2 = 48/x
(3)(x) = (48)(2) Cross multiply
3x = 96
x = 32
Peter is married, filing jointly, with an AGI of $50,265. He is claiming two exemptions of $16,400 and deduction of $3264.
What is his tax due?
Answer:
$3864
Step-by-step explanation:
What is the surface area of the figure below? 4 cm 5 cm 3 cm 3 cm 5cm 4 cm
Answer:
24 cm
Step-by-step explanation:
you add 3+3=6
next add 6+4=10
next add (5+5)+10=20
finally you add 20+4=24
Help!
Jim provides photos for two online sites: site A and site B.
Site A pays $0.85 for every photo Jim provides.
The amount in dollars (y) site B pays as a function of the number of photos provided (x) is represented by the equation y = 0.40x.
How much more was Jim paid at site A than at site B, if he provided five photos for each site? (1 point)
A. $1.15
B. $1.35
C. $2.15
D. $2.25
Answer:
Step-by-step explanation:
We can use the same equation to figure out with only substituting the amount he was paid per photo.
Site A y = $0.85x = $0.85(5) = $4.25
Site B y = $0.40x = $0.40(5) = $2.00
We can see that Jim was paid $2.25 more at site A than Site B.
Answer:
D. 2.25
Step-by-step explanation:
y=0.85x, y=0.4x
0.85-0.4=0.45
0.45*5=2.25
if f(x)=6x+9 and g (x) =-x-6 , what is (f+g)(x) ?
Answer:
5x + 3
Step-by-step explanation:
(f+g)x= 6x + 9-x-6
=5x + 3
