WILL AWARD 100 POINTS PLUS BRAINLIEST IF RIGHT
The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
Answers
a)
During week 0, the number of specialty items produced at the old factory than at the new factory is 33
b)
Old factory
The growth rate from week 0 to week 1 is 20.
The growth rate from week 1 to week 2 is 22.
New factory:
The growth rate from week 0 to week 1 is 30.
The growth rate from week 1 to week 2 is 32.
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Old factory:
f(x) = 223 (1.09)^x
When x = 0,
f(0) = 223(1.09)^0 = 223(1) = 223
In zero weeks, the number of specialties produced is 223.
When x = 1,
f(1) = 223(1.09)^1 = 243.07 = 243
When x = 2,
f(2) = 223(1.09)^2 = 265.32 = 265
When x = 3,
f(3) = 223(1.09)^3 = 290.41 = 290
When x = 4:
f(4) = 223(1.09)^4 = 318.53 = 318
New factory:
(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)
This means,
(0, 190)
In zero weeks, the number of specialties produced is 190.
Thus,
a)
During week 0, the number of specialty items produced at the old factory than at the new factory.
= 223 - 190
= 33
b)
The growth rates in the weekly number of specialty items produced at each factory.
Old factory:
The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20
The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22
New factory:
The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30
The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
i.e
f(4) = 223(1.09)^4 = 318.53 = 318
(4, 337)
318 < 337
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Answer: if your question is the same as mine, it should be correct!
Step-by-step explanation:
(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.
(b) y2 – y1/x2 – x1
252-220/2-1
32
(c) The new factory seems to have a faster production rate.
(d) Week 3 is the week when the production is faster at the New Factory.
p(w)=230(1.1)^w
p(w)=230(1.1)^3
p(w)=230(1.33100)
p(w)= 306.13
At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.
hopefully this helped :3
Related Questions
The bodega offers two deals on chicken nuggets. In deal #1 you can buy 5 chicken nuggets for $7.50. In deal #2 you can buy 8 chicken nuggets for $10.00. In which deal is each chicken nugget cheaper.
Answers
Answer:
The 2nd deal is better
Step-by-step explanation:
First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better
Answer:
deal 2 is better the chicken nuggets are cheaper and you could have more chicken nuggets even though it cost more then deal 1, 1 chicken nugget is cheaper in deal 2 than it is in deal 1 so I think you should go for deal 2 Hope I Helped :)
Step-by-step explanation:
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. The amount spent on radio advertising was about 21% as much as was spent on television advertising. How much of every $100 spent on advertising was spent on radio advertising?
Answers
Answer:
$8
Step-by-step explanation:
Given: Television advertising= $38 out of every $100 spent on advertising.
Radio advertising= 21% as much as was spent on television ads.
As given there are $38 spent on television ads on every $100 of advertising.
∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]
Now, finding amount spent on radio advertising on every $100 spent on advertising.
We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.
∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]
⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]
To know the amount spent on radio advertising on every $100 spending on advertising.
Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]
Hence, $8 spent on radio advertising on every $100 spending.
About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:
Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)
Amount spent on radio advertising = $38 × (21 / 100)
Amount spent on radio advertising = $7.98
Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.
need help! extra points.
Which two angles are alternate interior angles?
Answers
Answer:
3 and 2
7 and 6
are the alternate interior angles.
Tavon has a gift card for $ 155 that loses $ 3.50 for each 30-day period it is not used. He has another gift card for $ 135 that loses $ 3 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answers
Answer:
A) 40
B) $ 15
Step-by-step explanation:
A)An equation for the number of 30-day periods until the value of the gift cards will be equal
Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is
155 - 3.50 x---------------------(1)
For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is
135 - 3x---------------------- (2)
Now when both the amount lost is equal
[tex]155 - 3.50x = 135 - 3x[/tex]
solving the equation, we get
[tex]155 -135 = -3x + 3.50x[/tex]
20 = 0.5x
[tex]x = \frac{20}{0.5}[/tex]
x = 40
Thus the value of gift cards will be equal for 40 ,30 day periods.
B)The value of each card be when they have equal value
The two cards will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
[tex]155 - 3.50x = 135 - 3x[/tex]
substituting x = 40, we get
[tex]155 - 3.50(40)= 135 - 3(40)[/tex]
[tex]155 - 140= 135 - 120[/tex]
[tex]15 =15[/tex]
when they have equal value, the value of each card will be $15
The sum of two numbers is 15. The first number is half of the second number. What are the two numbers?
Answers
Answer:
10 5
Step-by-step explanation:
10 ÷ 2 = 5 and 5 + 10 = 15
Answer:
5 and 10
Step-by-step explanation:
X×Y=15
X=15-Y
X=Y/2
Y/2=15-Y
Add Y to both sides
3Y/2=15
3Y=30
Y=10
X=5
If 5x - 3y = 1 and x = 2y - 4, then x • y = ?
I don’t need an explanation of the answer since it’s multiple choice, but feel free to give an explanation if you want :) thank you and please answer quickly this is due tomorrow!!
Answers
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.
If the arc length shown in blue is 21.3 inches, then 0 to the nearest hundredth of a
radian is
Answers
Answer: [tex]\theta\approx1.78\ rad[/tex]
Step-by-step explanation:
By definition, the Arc lenght can be calculated with the following formula:
[tex]s=r\theta[/tex]
Where "s" is the Arc lenght, "r" is the radius and [tex]\theta[/tex] is the central angle measured in radians.
From that equation you can solve for [tex]\theta[/tex] dividing both sides of the equation by the radius "r", then:
[tex]\frac{s}{r}=\frac{r\theta}{r}\\\\\theta=\frac{s}{r}[/tex]
According to the information given in the exercise:
[tex]s=21.3\ in[/tex]
And you can identify in the figure that the radius of the circle is:
[tex]r=12\ in[/tex]
Therefore, you can substitute values into the equation:
[tex]\theta=\frac{21.3\ in}{12\ in}[/tex]
Finally, evaluating, you get the following result:
[tex]\theta=1.775\ rad[/tex]
Rounded to the nearest hundredth of a radian:
[tex]\theta\approx1.78\ rad[/tex]
whats the square root of 64
Answers
Answer:
The square root of 64 is 8. 8*8=64
Hope this helps,
:)
A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 cm3
Answers
Answer:
Option A - [tex]26 \mathrm{cm}^{3}[/tex]
Step-by-step explanation:
Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex] (1)
The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex] (2)
Substituting [tex]V=78[/tex] in equation (2), we get,
[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]
Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)
[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]
Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].
The volume of the cone is 26 cubic centimeters.
A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].
We need to determine the volume of a cone with the same dimensions compared to a cylinder.
Now,
The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].
The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].
Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.
Thus,
[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]
Hence, the volume of the cone is 26 cubic centimeters.
To know more about the cone, please refer to the link:
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PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answers
Answer:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left
Step-by-step explanation:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left
Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%. Which of these groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6
B. 0, 1, 2, 3, 4, 5, 6, 7
C. 0, 1, 2, 3, 4, 5, 6, 7, 8
D. 0, 1, 2, 3, 4, 5
Answers
Answer:
.0,1,2,3,4,5,6,7,8
The group which represents a success is D. 0, 1, 2, 3, 4, 5.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.
Total outcomes which are numbers from 0 to 9 = 10
If the probability of success is 60%,
P(success) = 60/100 = 6/10
That is, 6 numbers out of 10 are the outcomes which leads to success.
The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.
Hence the correct option is D.
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Picture attached please help!! I don't understand these questions.
Answers
Answer:
a, e
Step-by-step explanation:
a. function A has a slope of -2/3. the negative means it goes down. function B is going down on the graph so both functions have neg. rates of change.
b. function A's slope is -2/3. function b has a slope of -1.
c. since both functions slopes aren't the same they are not parallel.
d. 2/3 is a lesser rate of change than 1.
e. looking at the graph, function b is linear. A is linear since the "x" is not squared, cubed, etc.
The sum of twice a number and half the number is 10.
how would i write the equation?
66pts
Answers
Hello there i hope you are having a good day :) Your question : The sum of twice a number and half the number is 10.
Answer would be : 2x + x/2 = 10
Hopefully that helps you ❤
Answer:
2x+x/2 = 10
Step-by-step explanation:
x is the unknown value.
2x would be used to represent the unknown value of twice that number.
/2 would be used to represent half the number.
Hope this helps you!
hiro thinks -5 = -5 is hiro thinking correct
Answers
Can someone explain how to do this page I wasn't there when my teacher explained it
Answers
Answer:
You have to solve for the letter
Step-by-step explanation:
For example, Q5 is 40 - 5n = -2.
You subtract 40 from -2 and get -42 then you have 5n = -42.You divide 5 to -42 so [tex]\frac{-42}{5}[/tex].The answer is -8.4.*Use a calculator if necessary.*
~Hope this is helps (.^.)~
In circle A, ZBAE = ZDAE.
What is the length of BE?
O
O
14 units
17 units
27 units
34 units
V
3x-24
Answers
Incomplete question the complete question with the diagram is given below.
Answer:
The Correct option is second one 17 units.
Therefore the Length of BE is 17 units.
Step-by-step explanation:
Given:
∠BAE = ∠DAE
BE = 3x - 24
DE = x + 10
To Find :
Length of BE = ?
Solution:
∠BAE = ∠DAE .........Given:
As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.
So , the chord BE and DE are equal
Substituting the values we get
[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]
Therefore the Length of BE is 17 units.
Answer:
Answer is C
Step-by-step explanation:
edge 2021
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = 2x - 7
Answers
Answer:
Step-by-step explanation:
there's your graphed line
credits to desmos graphing calculator
how to solve u/5+3=1
Answers
First subtract 3: u/5 = -2
Now, because u is divided by 5, we can multiply by 5 to get u on its own.
u = -10
To check, -10/5 + 3 = 1
-2 + 3 = 1
1 = 1
This leaves us with a true statement, so the answer is correct.
Show work please I don’t understand it.
Answers
Answer:
2<6
Step-by-step explanation:
2(n+3)-4
(2n + 6)-4
2n + 2
--------(both can be divided by 2)
2 2
n=2
2<6
the second line the the last i believe im not so sure about the graphing but i hope starting you off with 2<6 helps
A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?
Answers
Answer:14 dimes 10 nickels
Step-by-step explanation:
24 coins total
14 X.10 = 1.40
10 x .05 = .50
1.40 + .50 = 1.90
The surface area of a tabletop is 5760 square inches. Which expression shows this number in scirntific notation?
Answers
Answer:
Scientific notation = 5.76 x 10³ square inches
Step-by-step explanation:
Standard notation = 5,760 square inches
Scientific notation = 5.76 x 10³ square inches
A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
Answers
Answer:
20 and 50
Step-by-step explanation:
the angles of a triangle add up to 180 degrees.
so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.
the other two angles are in a ratio of 2:5....added = 7
meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure
so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==
and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==
2:5= 2+5=7
70 ÷ 7 = 10
2 x 10 =20
5 x 10 = 50
Angles = 20:50
what of the following is not a characteristic of all parallelograms diagonals bisect each other be opposite angles are congruent C diagonals are angle bisectors deep is the sides are congruent
Answers
The correct option that is not a characteristic of all parallelograms is C, 'diagonals are angle bisectors,' as it does not apply to every parallelogram, unlike the other options listed.
Explanation:The question is related to the properties of parallelograms, and specifically, it asks which option is not a characteristic of all parallelograms. To answer this, we must review the properties of parallelograms:
Diagonals bisect each other.Opposite angles are congruent.The sides are parallel, but not necessarily congruent.Option A (Diagonals bisect each other) and Option B (Opposite angles are congruent) are indeed true characteristics of parallelograms. However, diagonals being angle bisectors is not a general characteristic of all parallelograms, making it incorrect for Option C. Finally, Option D (The sides are congruent) describes a property specific to a rectangle or a rhombus rather than all parallelograms. Thus the correct answer is C, diagonals are angle bisectors, as it is not a defining feature for all parallelograms. Parallelograms have diverse shapes like rectangles, squares, and rhombi, and this property doesn't apply universally.
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
Quick Internet has free installation but charges $56.95 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is
___+___=___
Answers
Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answers
Answer:
The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
Translation 5 units to the left: (x,y) → (x - 5, y) Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)Translation 1 unit down: (x,y) → (x, y-1)
(-11,2) → (-11, 2 - 1) = (-11, 1)(-9,7) → (-9, 7 - 1) = (-9, 6)(-7, 2) → (-7, 2 - 1) = (-7, 1)Reflextion accross the x-axis: (x,y) → (x, -y)
(-11, 1) → (-11, -1), which are the coordinates of vertex X"(-9, 6) → (-9, -6), which are the coordinates of vertex Y""(-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
How do you solve 9+x/9=7/3
Answers
Answer:
-60
Step-by-step explanation:
9+x/9=7/3
x/9=7/3-9
x/9=7/3-27/3
x/9=-20/3
x=(-20/3)(9)
x=-180/3
x=-60
1/4 of 1% expressed as a decimal
Answers
Answer:
0.0025
Step-by-step explanation:
:)
1/4 of 1%, when expressed as a decimal, is equal to 0.0025
What do we mean by percentage?A percentage is a ratio with the second part always equal to 100. It represents parts per hundred.
How do we solve the given question?We have been given 1%.
We replace percentage in fraction, and then fraction to decimal.
1% = 1/100 = 0.01
Now, we need to calculate 1/4th of this value, that is, 0.25 multiplied by the above value,
= 0.25 * 0.01 = 0.0025
So, our answer is 0.0025.
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Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than her friend
Answers
Answer:
[tex]\frac{1}{2}[/tex] quart
Step-by-step explanation:
Given:
Riley drink 4/5 quart of iced tea
And her friend drink 0 3/10 quart of iced tea
Question asked:
how much more of a quart of iced tea did Riley drink than her friend = ?
Solution:
Riley drank of iced tea = [tex]\frac{4}{5}[/tex]
Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]
= [tex]\frac{3}{10}[/tex]
We will subtract the share of her friend from Riley's share
Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]
= [tex]\frac{5}{10}[/tex]
= [tex]\frac{1}{2}[/tex]
Thus, Riley drank [tex]\frac{1}{2}[/tex] quart more than her friend.
Final answer:
Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.
Explanation:
The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:
4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.
Therefore, Riley drank 1/2 quart more iced tea than her friend.
Solve
A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.
Answers
Answer:
10 days the balance is $1,000, but then the balance drops to $950.
Step-by-step explanation:
For the first 10 days the balance is $1,000, but then the balance drops to $950.
How do use distributive property for -2.5(4x-8)+1.2(5x-1)
Answers
Answer:
Step-by-step explanation: