Answer: bowl of soup=$1.75
carton of juice=$1.25
fruit cup=$2.25
Step-by-step explanation:
j=carton of juice. f=fruit cup. s=bowl of soup.
9j=5f
f=s+0.5 ==> 0.5 dollars is 50 cents
s=j+0.5
j=s-0.5
9(s-0.5)=5(s+0.5)
9s-4.5=5s+2.5
4s-4.5=2.5
4s=7
s=7/4
s=$1.75
s=j+0.5
1.75=j+0.5
j=$1.25
f=1.75+0.5
f=$2.25
These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !
If the function f(x) =(4x² tan x)/sec x , then f'(x) =4( 2x sin(x) + x² cos x) using product rule of differentiation and f'(5) =103.11
What is product rule for differentiation?Product rule for differentiation states that the differentiation the product of two functions is the product of derivative of first function and second function plus product of derivative of second function and first function.
If we have consider the differentiation of product of two functions u ,v that we can write product rule as
(u*v)' = u' v + u v' , where ' represents first derivative with respect to independent variable
Given f(x) = (4x² tan x)/sec x or we can write it as :
f(x) = (4x² )(sin x) as 1/ sec x is cos x , tan x = sin x / cos x
let u =4x² , v = sin x
Then f(x) =u × v
Using product rule of differentiation:
f'(x) = u' v + u v' = (8x sin x) + (4x² cos x) = 4( 2x sin(x) + x² cos x)
To find value of f'(x) at x= 5
f'(5) = 4(10sin5 + 25 cos5) = 103.10569951 = 103.11(rounding off )
Therefore if f(x) = (4x² tan x)/sec x then f'(x) =4( 2x sin(x) + x² cos x) and f'(5) =103.11
Also. Learn more about differentiation rules from the link below:
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help pls!!!
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2+80t+4. What is the time interval in which the ball has a height greater than 100 feet?
This is between 2 and 3 seconds, excluding both endpoints.
========================================================
Explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
Replace h(t) with 100. Then get everything to one side.
[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]
Next, we'll use the quadratic formula to isolate t.
Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]
Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]
This is between 2 and 3 seconds, excluding both endpoints.
------------------
Check:
Let's plug in t = 2 to find that...
[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]
You should find that h(3) = 100 as well. I'll let you do those steps.
Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.
xqdfhsisdlifjbosiuhodijxcn
Step-by-step explanation:
ummmm ok then hahaha :)
Gears A and B work together. Gear A turns 30 times when Gear B turns 45 times. When Gear B turns 12 times, how many times does Gear A turn?
HELP ME PLZ I BEG OF YOU!?!
Answer:
8
Step-by-step explanation:
helppppppppp pleaseee
Answer: 1 10/39
Step-by-step explanation:
Consider the sequence 2,9,16,23,30 state the smallest prime number from this sequence.
Answer:
Step-by-step explanation:
The answer is 2 because 2 is a prime number
ANSWER ASAP DUE AT 1 QUESTION 4!!! 15 POINTS
If basketballs cost $18.00 each, how much will 3 basketballs cost in all?
Pls help meee
umm
18.00 x 3 = 54
$54.00
Ellen decides to buy 25 hats. How much does she spend? Create a graph to show your work.
Answer:
how much do the hats cost
12) (7 + a)-(-7a+1)
Help??
The vertex of this parabola is at (-4,-1). When the y-value is 0, the xvalue is 2
What is the coefficient of the squared term in the parabola's equation?
Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13
Help me picture above
Answer:
Area of rectangle OABC = 18 units²
Step-by-step explanation:
From the graph attached,
Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).
Length of side AO = 6 units
Length of side OC = 3 units
Area of the rectangle = Length × Width
= OC × AO
= 3 × 6
= 18 square units
(4x-20) and (3x+14) they equal 155 what is X?
Answer:
x = 23
Step-by-step explanation:
all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;
Help please! I’ll give brainliest!
Answer:
y= -2(-6) +5
y= 12+5
y= 17
y= -2(-3) +5
y= 6 +5
y= 11
y= -2(0) +5
y= 0+5
y=5
y= -2(3) +5
y= -6 +5
y= -1
Plssss help
Answer with one of these answers by looking at the photo PLSS try to get correct
(a) and (b)
Neither
Only (a)
Only (b)
Answer:
a
Step-by-step explanation:
because all top numbers can go into bottom numbers.
An amusement park collected $15,513 in revenue from ticket sales one day. They charge $30 for adults and $9 for children. If there were 865 people in attendance that day, how many were adults?
The number of adults that are there will be 368 adults.
Let adults = a
Let children = c
The equation to solve the question will be:
a + c = 865 ....... i
30a + 9c = 15513 ...... ii
From equation i, c = 865 - a
Since 30a + 9c = 15513
30a + 9(865 - a) = 15513
30a + 7785 - 9a = 15513
30a - 9a = 15513 - 7785
21a = 7728
a = 7728/21
a = 368
Learn more about equations on:
https://brainly.com/question/13763238
BIG POINTS please help me
Answer:
I would C because it is in the middle of 20 and 40
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i need help pleasee
Answer:
i t s C i t h i n k s o i t h i n k t h i s wouod help u
please help this is due at 11
me at 1:36pm: oh no, i hope he got his answer
`Solve this nonlinear inequality. Express the solution in interval notation and graph the solution set 5x^2+3x
The solution to the non-linear inequality 5x² + 3x < 0, in interval notation, is: (-0.6,0).
When a function is positive and when it is negative?We have to look at the graph of the function relative to the x-axis, as follows:
A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.The inequality for this problem is:
5x² + 3x < 0.
Meaning that the two bullet points above are relevant as we want to find when the function is negative.
The graph of f(x) = 5x² + 3x is given at the end of the answer, and it is negative for:
(-0.6,0).
Which is the solution set for the inequality, and is painted on the graph.
More can be learned about inequalities at https://brainly.com/question/11613554
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Simplify this expression: -2(-4x + 2y - 6)
Answer:
8x - 4y + 12
Step-by-step explanation:
-2(-4x + 2y - 6)
(-2)(-4x) + (-2)(2y) + (-2)(-6)
(2 * 4x) - (2 * 2y) + (2 * 6)
8x - 4y + 12
a bag of fruit contains 5 apples, 3 pears, and 6 oranges. Toby randomly selects two pieces of fruit, one at a time and does not put them back. What is the probability that the first piece of fruit Toby selects will be an orange and the second piece of fruit will be an apple? need help asap
fyi its not 2
Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.
Answer: 39.13 for 18 plants
Step-by-step explanation:
120/55.20= 2.17 dollars per plant
18*2.17=39.13
3(x – 2) = 3x + 4 solve for X
Answer:
The answer is: Use a calculator.
Step-by-step explanation
With the calculator you are able to do ANY problem.
Answer: There is no solution.
Step-by-step explanation:
Simplify both sides of the equation
subtract 3x from both sides
add 6 to both sides
0=10
The answer is - there are no solutions
The entire graph of the function fis shown in the figure below.
Write the domain and range of fusing interval notation.
(a) domain=
(B) range=
The domain and the range of the function are given as follows:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence, for the graphed function:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
More can be learned about the domain and the range of a function at https://brainly.com/question/10197594
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Javier had 305$ in his bank account his bank charges a fee 7.50$ each month that balance is below 500$ if he makes no that with draws how much money is in Javier bank account at the end of the 3 months
Find x
3x + 7 = -5
Pls help
Answer:
your answer should be
Step-by-step explanation:
x=2i or like i should say -2i
i hope its right tbh sometimes i make mistakes doing these
y = 8x + 6, x = 5 plz help i can get admin if i solve this
Answer:
y = 46
Step-by-step explanation:
I'm assuming you wanted to solve for y.
x = 5
y = 8(5) + 6
y = 40 +6
y = 46
ASAP!!!!!!!
On the current balance sheet at the end of the first year, a business has $50,000 in total assets and $18,000 in total
liabilities. Compute the business equity at the end of the first year.