The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Function N represents the number of components that a new employee can assemble per day.
N(t)=(50t)/(t+4)
Function E represents the number of components that an experienced employee can assemble per day.
E(t)=(70t)/(t+3)
In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,
[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]
Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
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Answer:
D(t)= 10t(2t+13)/ (t+4)(t+3)
Step-by-step explanation:
PLEASE HELP ASAP *URGENT* 20 POINTS!!!!
Answer:
a5 = 122
Explanation:
Given:
a1 = 2an = -3aₙ₋₁ + 2Solve:
a1 = 2
a2 = -3a1+2 = -3(2)+2 = -4
a3 = -3a2 + 2 = -3(-4)+2 = 14
a4 = -3a3 + 2 = -3(14) + 2 = -40
a5 = -3a4 + 2 = -3(-40) + 2 = 122
Answer:
a₅ = 122
Step-by-step explanation:
What is a₅ for the sequence defined by:
[tex]\left\{\begin{array}{ccc}a_1=2\\a_n=-3a_{n-1}+2\\\end{array}\right\\\\\\\hrule[/tex]
Letting n=2:
[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{2-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{1}+2\\\\\\\\\Longrightarrow a_2=-3(2)+2\\\\\\\\\therefore a_2=-4[/tex]
Letting n=3:
[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{3-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{2}+2\\\\\\\\\Longrightarrow a_3=-3(-4)+2\\\\\\\\\therefore a_3=14[/tex]
Letting n=4:
[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{4-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{3}+2\\\\\\\\\Longrightarrow a_4=-3(14)+2\\\\\\\\\therefore a_4=-40[/tex]
Letting n=5:
[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{5-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{4}+2\\\\\\\\\Longrightarrow a_5=-3(-40)+2\\\\\\\\\therefore \boxed{\boxed{a_5=122}}[/tex]
Type in your answer:
X = ?
Angle KPN =?
Angle NPO =?
Answer:
x=31
KPN =62
NPO=28
Step-by-step explanation:
KPO = 90(right angle) =2x + (x-3)
3X=90+3
X= 31
NPO = 31-3
NPO=28
KPN = 2*31
KPN =62
10. What mass of carbon dioxide is produced when 6.2
moles of propane, C3Hg is burned in oxygen?
C3H2 + ___ O2 →
O2 → _ CO2 + _ H2O
-
-
Convert: 92 ounces = _____ pounds _____ ounces
9 pounds 2 ounces
5 pounds 2 ounces
1,472 pounds 0 ounces
5 pounds 12 ounces
Answer:
5 pounds and 12 ounces.
Step-by-step explanation:
Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^
Answer:
5 pounds 12 ounces
Step-by-step explanation:
I copied the other answer
Write a part -to part ratio that compares the girls to boy . Write this in 3 different forms
The ratio of girls to boys is 4:5.
For every four girls that are in the camp, there are five boys.
The ratio of girls to boys is 4/5.
The ratio of boys to girls is 5:4.
The ratio of boys to girls is 5/4.
The ratio of boys to girls is 1 1/4.
What are the ratios?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.
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Given: segment AB || segment DE, C is the midpoint of segment DB. Prove LABC = AEDE Fill in the missing statement for the proof.
Answer: B
Step-by-step explanation:
Find the missing length.
✓ [?]
?
C=
C
2
11
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
11.18 is the missing length
Please help me answer this question please...
answer is here about stem and leaf
Solve (x+7)^2=49 algebra
Answer: x = 0
Step-by-step explanation:
Given:
(x + 7)² = 49
Distribute:
x² + 7² = 49
Square:
x² + 49 = 49
Subtract 49 from both sides of the equation:
x² = 0
x = 0
The only solution to this equation is 0.
-> We can also see this with graphing. See attached.
answer:
x=0
Step-by-step explanation:
(x+7)^2=49
take the square root of both sides
√(x+7)^2=√49
x+7=7
x=0
what is the approximate value of x in the exponential 4^x=14?
We know 4² = 16 , 4¹= 4
In this case we have :-
[tex] {4}^{x} = 14[/tex]
and we have to find the value of x
14 is less than 16 so x will be less than 2
14 is greater than 4 so x will be greater than 1
we can find the value of
[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]
so we can say 14 is much larger than 8 which means x will be much larger than 1.5
so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer
[tex]x \approx1.9037[/tex]
[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]
Read the following stock quote. What is the current price of this stock?
IMAX Corporation (Nasdaq:IMAX)
16.04 0.49 (3.15%) 11:51am ET
$3.15
3.15 percent
$.49
$16.04
Answer:
$16.04
(see the answer for explanation)
the graph of y = (x) is shown below
Answer:
Step-by-step explanation:
Solution
The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $712 on equipment, and 11% of the total budget on props. What was the total budget for their student film?
Answer:
800 dollars
Step-by-step explanation:
The amount spent on equipment is 89% of the total
712÷89 = 8 x 100 = $800
The probability of guessing on four true and false questions and getting all four questions correct
Answer:
50-50
Step-by-step explanation:
If yoiu have 4 and divide it b
Hello, can I please get some help :))
Answer:
add the seven to one and divide by three then subtract two
Please help me I’m confused
cant delete this answer. my bad
simplify. 5ab/15a+10a²
answer these questions:
Q- What score represents the mean?
Q-What percent of the scores were between 81 and 87?
Will give brainliest!!
Kevin invest $2,000 at 4.6% compounded continuously. How long will it take him to have $3,700
Answer:
t=In(37/20)/0.046
Step-by-step explanation:
p=2000
r=0.046
A=3700
t=?
3700=2000e^0.046t
switch sides
2000e^0.046t=3700
Divide both sides by 2000
$2000e^0.046t/2000=$3700/2000
Simplify
e^0.046=37/20
Apply exponent rules
0.046=37/20
Solve 0.046t = ln(37/20)
t=In(37/20)/0.046
What is the median of the data represented by the box plot?
Answer: 20
Step-by-step explanation:
Box plots give us the median just by looking at them. See attached.
What is the area of this shape?
The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.
How to determine the area of a compound shape
In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:
[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex] (1)
Now we proceed to calculate the area of the compound shape:
A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)
A = 157 km²
The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.
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Jared wants to paint his room. The dimensions of the room are 12 feet by 15 feet, and the walls are 9 feet tall. There are two windows, each with dimensions 6 feet by 5 feet. There are two doors, each with dimensions 30 inches by 6 feet. If a gallon of paint covers about 350 square feet, how many gallons of paint will he need to put two coats of paint on the wall? List the steps to solve the problem and solve.
Answer:
1 ft = 12 in
1 in = (1/12) ft
30 in = (30/12) ft
30 in = 5/6 ft
The area of the surface that Jared needs to paint is:
2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2
Step-by-step explanation:
Answer:
3 gallons of paint
Step-by-step explanation:
Steps you have to take,
identifying the area of the 4 walls subtracting the windows and doors from the area.finding out how many gallons of paint it will take to cover the total area twiceFormula:
[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]
[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑
door = 30in by 6ft
30in to feet = 2.5 feet
Lets start solving.[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]
[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]
[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]
[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]
two coats = A(2)396(2) =
792sq ft
We know that one gallon covers 350sq ft
792/350 =
2.26 gallons
(can't have .26 of a gallon so we round up)
it takes 3 gallons of paint Jared's roomThree quarters of the sum of two numbers is 6 and half the difference of the two numbers is 1
Answer:
1 number= 4.5
2 number= 3.5
Step-by-step explanation:
The rectangular prism below has a base area of 44 units2 and a height of 6 units. Find
its volume.
The volume of the rectangular prism given its base area and its height is 264 units³.
What is the volume?A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.
Volume = length x width x height
base area x height
44 x 6 = 264 units³
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A box is filled with 5red crayons, 9blue crayons, and 6yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in the simplest form.
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]
=[tex]\frac{7}{10}[/tex]
Need help on telling which ones are similar and not similar please and thank you!
A and B are Similar
B and C are not Similar
A and C are not Similar
--
Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.
A telescope company needs to choose a cardboard box to ship its product across the country. Use the information to answer each question below. Brainlest to whoever answers with work.
Find the sale price regular price $ 12.88 discount %15
Answer:
$ 1.932
Step-by-step explanation:
Complete the long division problem on your own sheet of paper. Then, fill in the digits.
Answer:
52
Step-by-step explanation:
5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0
Vito has a fair 20-sided die with the faces
numbered 1 through 20. Vito will roll the die
100 times. About how many times will he
likely roll a 1, 4, or 5?
A 10
B 25
C 15
D 50
Answer:
15, C
Step-by-step explanation:
Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.
Hope this helped!
~clouddragon
