Answers
=====================================================
Explanation:
You can use your calculator to make short work of this problem. Simply plot the parabola and use the "minimum" feature on the calculator to spot the lowest point (specifically the coordinates of that point).
However, I have a feeling your teacher wants you to use a bit of math here. So I'll focus on another approach instead.
---------
The parabolic equation is of the form y = ax^2+bx+c
In this case, we have
a = 0.3b = -192c = 40357Use the values of 'a' and b to find the x coordinate of the vertex h
h = -b/(2a)
h = -(-192)/(2*0.3)
h = 320
The x coordinate of the vertex is 320.
Plug this into the original equation to find the y coordinate of the vertex.
y = 0.3x^2 - 192x + 40357
y = 0.3(320)^2 - 192(320) + 40357
y = 9637 which is the minimum unit cost, in dollars.
The vertex is (h,k) = (320, 9637). It is the lowest point on this parabola.
Interpretation: If the company made 320 cars, then the unit cost (aka cost per car) is the smallest at $9637 per car.
Related Questions
Anne has one more than one third the number of dolls than Sally has. Anne has 9 dolls. Write an equation that represents this word problem.
Answers
Solution:
Let's reread the part of the question carefully.
{one more} {than one third the number of dolls than Sally has}
↥ ↥
1 s/3
This means that Anne has s/3 + 1 dolls, which is 9 dolls.
=> s/3 + 1 = 9=> Sally/3 + 1 = AnneHence, the equation that represents the word problem is S/3 + 1 = A.
Write an equation that goes through the points (18, 3) and (21, 1)
Answers
Answer:
[tex]2x+3y-45=0[/tex]
Step-by-step explanation:
The slope of the line that goes through (18, 3) and (21, 1) is
[tex]\frac{1-3}{{21-18}}=\frac{-2}{3}\\[/tex]
The slope of the line that goes through (18, 3) and (x, y) is
[tex]\frac{y-3}{{x-18}}[/tex]
So
[tex]\frac{y-3}{{x-18}} = \frac{-2}{3}\\-2(x-18)=3(y-3)\\-2x+36=3y-9\\2x+3y-45=0[/tex]
what is 1/10 of 315? Write your answer as a decimal
Answers
[tex] \tt \dfrac{1}{10} \times 315[/tex]
31.5 <---- Ans
Answer:
31.5
Step-by-step explanation
If you divide something by 10 you move the decimal over one place to the left.
315.0 / 10 = 31.5
A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 15 ft its width is 10 ft, and its surface area is 600 ft². (In the figure, h=height. Assume that the given surface area includes that of the top lid of the box.)
Answers
Answer:
The surface area of a rectangular box is the sum of the areas of the flat rectangular faces of the box. The height is the vertical side of the box. So the other sides are the length and width. Try to picture a box in your head, or you can draw it on paper.
Let x = length
Let y = width
Let h = height
Using these variables, we can write an equation that represents the surface formula.
A = 2(area of bottom face) + 2(area of front face) + 2(area of side face)
A = 2xy + 2xh + 2yh
This is general equation for surface area. All we need to do is plug in the known values into it and solve for h.
496 = 2(18)(8) + 2(18)h + 2(8)h
496 = 288 + 36h + 16h
Now it comes down to simple algebra. Isolate the h terms and solve for h from there.
208 = 52h
Divide both sides of the equation by 52 to get your height. I let you finish up here.
Step-by-step explanation:
Someone help me pls
Answers
Answer:
1 5/8
Step-by-step explanation:
Hope helped you!!
Determine the volume of each fractional dimensions much show your work
Answers
Write this ratio as a fraction in simplest form without any units. 21 feet 8 yards you can use the table below to help convert the units. Length: 1 foot = 12 inches. 1 yard = 3 feet. Weight: 1 pound = 16 ounces Capacity (Volume) 1 quart = 2 pints. 1 gallon = 4 quarts
Answers
Answer:
7/10
Step-by-step explanation:
1 yard = 3 feet
Then the given ratio is ..
21 feet : 10 yards = 7 yards : 10 yards = 7 : 10
As a fraction, the ratio is 7/10.
When a number ,x, increases by 12% and then decreased by 12% then the new number will be?
Answers
Answer: The new number is 1.44% smaller than the original.
=========================================================
Explanation:
To increase by 12%, we involve the multiplier 1.12
Think of 1.12 as 100% + 12% = 1 + 0.12 = 1.12
We go from x to 1.12x
To decrease by 12%, we will use the multiplier 0.88 because 1 - 0.12 = 0.88
Think of it like a discount. If you save 12%, then you pay the remaining 88%
So 0.88*1.12x = 0.9856x
The value 0.9856 is smaller than 1, meaning that overall we have a net discount going on.
The discount rate is 1 - 0.9856 = 0.0144 = 1.44%
In other words, x ultimately goes down by exactly 1.44%
----------------
If you want to use an actual number to see an example, let's go for x = 100
Increasing 100 by 12% means we increase by 0.12*100 = 12
We go from 100 to 112
Then decreasing by 12% means the value goes down by 0.12*112 = 13.44 and drops to 112-13.44 = 98.56
The original value 100 becomes the final value 98.56
This is a percent decrease of (100-98.56)/100 = 0.0144 = 1.44%
Please help, this is my review, and I have a test tomorrow. But based on what I did, none of my answers matched the ones below.
Answers
Answer:
a) 21, 34.5, 54.75, 85.125
Step-by-step explanation:
All of the answer choices differ in the first term, so that is the only one you need to figure here. However, we will do them all, so you can see it done.
We note that x > 0 for all of the values of x that we need to use. That means the recursive relation is the one we're using for computation.
f(1) = 3/2·f(0) +3 = (3/2)(12) + 3 = 18 +3 = 21 . . . . . . matches choice (a)
f(2) = 3/2·f(1) +3 = (3/2)(21) +3 = 63/2 +3 = 69/2 = 34.5
f(3) = 3/2·f(2) +3 = (3/2)(34.5) +3 = 51.75 +3 = 54.75
f(4) = 3/2·f(3) +3 = (3/2)(54.75) +3 = 82.125 +3 = 85.125
__
When you're computing for sequential input values, each depends on the previous value you computed.
_____
Additional comment
Using an exponential regression calculator (or spreadsheet), the explicit function can be found to be ...
f(x) = 18·1.5^x -6
Please answer the question in the picture
Answers
Answer:
(5n + 4p)(5n + 4p)
Step-by-step explanation:
25n^2 + 40np + 16p^2
(5n)^2 + 2(5n)(2^2 * p) + (2^2 * p)^2
(5n + 2^2 * p)^2
(5n + 4p)^2 > (5n + 4p)(5n + 4p)
In 2010, Americans generated 250 million tons of garbage. There are about 2,000 landfills in the United States. Assuming that each landfill is the same size and that trash is divided equally among them, determine how many tons of garbage were sent to each landfill in 2010.
Answers
Answer
125,000 tons of garbage per landfill
Step-by-step explanation:
250 million total tons of garbage was sent to 2,000 landfills. Since it is assumed each landfill gets an equal amount of garbage, we can easily divide.
250,000,000 / 2,000 = 125,000 tons of garbage per landfill
henceforth, each landfill received 125,000 tons of garbage
A bag contains 4 red marbles , 8 blue marbles and 5 green marbles . If three marbles are drawn out of the bag what is the probability to the nearest 1000th that all three marbles drawn will be green '
Pleaseee help this is compound probability..
Answers
Answer:
0.025
Step-by-step explanation:
The solution is in the attached file
Helppp! 100 points!
What is the value of the function y = 3x – 1 when x = 1?
0 -8
0-4
O 2
o 6
Answers
Answer:
2
y = (3 x 1) - 1
^
x = 1
y = 3 - 1 = 2
y = 2
Simplify.
c) [tex]\sqrt{25+10\sqrt{5} +5 }[/tex]
d) [tex]\sqrt{30+10\sqrt{5} }[/tex]
Answers
Answer:
[tex]5+\sqrt{5}[/tex]Step-by-step explanation:
Both are essentially same questions, considering 30 = 25 + 5.
Solving c)
[tex]\sqrt{25+10\sqrt{5} +5} =[/tex][tex]\sqrt{5^2+2*5*\sqrt{5} +(\sqrt{5} )^2} =[/tex][tex]\sqrt{(5+\sqrt{5} )^2} =[/tex][tex]5+\sqrt{5}[/tex]Solution:
Part-C)
√25 + 10√5 + 5=> √25 + 10 × √5 + 5=> √25 + 10 × 2.236 + 5 [√5 = 2.236 according to the table uploaded]=> √25 + 22.36 + 5=> √52.36 = 7.236Part-D)
√30 + 10√5=> √30 + 10 × √5=> √30 + 10 × 2.236 [√5 = 2.236 according to the table uploaded]=> √30 + 22.36=> √52.36 = 7.236Hoped this helped!
A company's total cost, in millions of dollars, is given by C(t) where t is the time in years since the start-up date. The graph of C(t) is shown to the right. Find each of the following.a) The marginal cost,
b)
c)
d) Find C(t) and
Answers
The marginal cost that can be deduced from the information given about the company is 40e^-t.
What is a a marginal cost?Marginal cost simply means the change in production cost due to an additional unit produced.
From the complete question, the cost function is given as 60 - 40e^-t. Therefore, the marginal cost will be:
C'(t) = d/dt (60 - 40e^-t)
= d/dt (60) - 40 d/dt (etc)
= 0 - 40(-1)e^-t
= 40 e^-t.
Learn more about marginal cost on:
https://brainly.com/question/16615264
Two friends purchase 2 pounds of pinto beans, 1 pounds of brussels sprouts, and 2 pounds of olives. If the friends split the total cost evenly, enter the cost per friend
of the purchased vegetables in the space provided ( here the chart)
Answers
The cost per friend is $6.84.
What is the cost per friend?The first step is to determine the total cost of the vegetables the two friends bought.
Total cost of the vegetables = ( 1 x $2.82) + 4.19 X 2 + (1.24 x 2) = $13.60
In order to determine the cost per friend, divide the total cost of the vegetables by the number of friends that purchased the items.
$13.6 / 2 = $6.84
To learn more about division, please check: https://brainly.com/question/194007
Please answer the question in the picture
Answers
Answer:
(y-8) (y-8)Step-by-step explanation:
→ y² -16y +64
→ y²-8y-8y+64
→ y(y-8) -8(y-8)
→ (y-8) (y-8)
Pls help me i have to submit it tomorrow
Answers
Answer:
1. B
2. A
3. D
4. C
can someone please help me on my math work
Answers
Answer:
A=6 should be the answer.
Answer:A
Step-by-step explanation: Count the edges, which is 6
Order the side lengths , , , , and from least to greatest.
(Note that the figure is not drawn to scale.)
F
G
H
I
Answers
Answer:
1. FH, 2. GH, 3.IH 4. GI, 5. FG
Step-by-step explanation:
According to a certain geometric theorem, the smallest angle is always opposite to the smallest side of a triangle. Likewise, the largest angle is always opposite to the largest side. Using this theorem we can properly order the angles and sides.
Additionally, the interior degrees of a triangle will always be 180, and the interior of this quadrilateral is 360 degrees. Using this we can determine the missing angles.
180 - 75 - 55 = 50 (first missing angle)
180 - 59 - 63 = 58 (second missing angle)
The smallest angle would be 50 degrees and the largest 75.
The second smallest is 55 degrees, the third smallest is 58 degrees, the fourth smallest is 59 degrees, and the fifth is 63 degrees.
Now, one thing that seems a bit confusing is the fact that GH is opposite to 2 different angles, so how do we know WHICH angle to use to find its length. From what I understand, we should be able to find the average of the two angles across from this side to see what its place would be in terms of length.
63 + 50 = 56.5
This would make side GH larger than FH but less than HI
This is how I would solve the problem, and I think this is the correct order. Please let me know whether it turns out right.
Mark the formula/theorem below
The angle measures bigger means the opposite side of angle is bigger.Here
55<59<63<75So the order is
FH<IH<GI<GH<FGMrs. Hernandez earns $35.60 per hour and in one week earned $854.40. For how many hours did she work last week? What expression matches A: 8,544 divided by 356 B: 85,440 divided by 356 C. 8,560 divided by 544
Answers
Answer:
Option A
Step-by-step explanation:
Given the following question:
Mrs. Hernandez earns $35.60 an hour
One week she earned $854.40
To find the answer we divide 8,544 by 356
[tex]8544\div356=24[/tex]
[tex]854.40\div35.60=24[/tex]
Mrs. Hernandez worked "24 hours last week" by using the first options equation, we can find that answer.
Hope this helps.
Translate the sentence into an inequality. Twice the difference of a number and 6 is greater than -15. Use the variable w for the unknown number.
Answers
Answer:
2(w - 6) > -15
Step-by-step explanation:
2(w - 6) > -15
⇒ 2w - 12 > -15
⇒ 2w > -3
⇒ w > -3/2
Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.
Seven times the product of negative six and a number.
What is the algebraic expression?
(Do not simplify.)
Answers
its been a long time since ive done something like this lol
make c the subject of formula
[tex]B = A+ C[/tex]
Answers
Answer:
[tex]B = A + C \\ \\ C = B - A[/tex]
ANSWER-
C = A - B or maybeC = B - AEITHER ONE OF THEM IS RIGHT JUST MY BRAIN CAN'T COMPUTE AT THIS POINT(X+4)^1/2 =6
Please help
Answers
Answer:
32
Step-by-step explanation:
let both sides of equation be squared
((x+4)^½)² = 6²
x+4 = 36
x = 36-4
x = 32
help me please 20
0000
Answers
Hope this helps!
Andre ran 345 meters with the track club. If there are 1000 meters in one kilometer, how many kilometers did he run?
A. 0.0345 km
B. 3.45km
C. 34.5 km
D. 0.324km
All bots and links will be reported. Please do not message if this account did anything before as for this account has been given to me today.
Answers
Answer:
None of them are correct as the correct one is 0.345 (maybe you made a typo when typing the options)
Step-by-step explanation:
We can make:
[tex]\frac{345}{1000}[/tex] which equals 0.345 km
Suzanne wants to purchase 2 large soda's for $1.89 each, 1 loaf of bread for $1.49, and 3 bags of salad mix for $2.29 each. What is her total cost after including 8% for tax? (Hint: 8% = .08)
Answers
Answer:
12.22 would be her total cost after including 8% of tax.
Step-by-step explanation:
$2.29x3=$6.87
$6.87+1.89x2=$10.65
$10.65+$1.49=$12.14
$12.14+¢.08= $12.22
This is what I think is the answer from my work.
Use the circle graph to answer the question. A library classifies its DVDs into one of the categories shown. The library
owns 1830 DVDs.
Determine the number of comedy DVDs.
Answers
The number of comedy DVDs will be equal to 604.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.
The number of comedy DVDs will be calculated as,
N = ( 1830 x 33%)
N = (1830 x 33 ) / 100
N = 604
Therefore, the number of comedy DVDs will be equal to 604.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
21/64 Marks
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of it.
I
3 cm