The total cost producing 1 camera case is:
$ 11
Step-by-step explanation:Let the quadratic function be:
[tex]c(x)=ax^2+bx+c[/tex]
Now, c(3)=45
This means:
[tex]9a+3b+c=45------------(1)[/tex]
c(7)=257
This means that:
[tex]49a+7b+c=257----------------(2)[/tex]
and c(12)=792
This imply:
[tex]144a+12b+c=792-------------------(3)[/tex]
On subtracting first equation from second we get:
[tex]40a+4b=212------------(4)[/tex]
and on subtracting second equation from third we get:
[tex]95a+5b=535-----------(5)[/tex]
Now on multiplying equation (4) by 5 and equation (5) by 4 and subtracting both equation we get:
a=6
Putting value of a in equation (4) we get:
b= -7
and putting the value of a and b in equation (1) we get:
c=12
Hence, the cost function is:
[tex]c(x)=6x^2-7x+12[/tex]
Now, the cost of producing 1 camera will be the value of c(x) when x=1
i.e.
[tex]c(1)=6-7+12\\\\\\c(1)=11[/tex]
Hence, the answer is:
$ 11
Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.
Which statement is true about the pricing plans for Company A and Company B?
A) Company A is a better deal if Joseph drives 150 miles.
B) Company B is a better deal if Joseph drives 150 miles.
C) Company B is a better deal if Joseph drives more than 150 miles.
D) Company A is a better deal if Joseph drives less than 150 miles.
E) The price for traveling 150 miles is the same for both compan
Answer:
E.The price for travelling 150 miles is same for both company.
Step-by-step explanation:
We are given that Joseph is going on a trip and he needs to rent a car.
Company A
Charge $0.25 per mile plus $50 rental fee.
Company B charges 40.45 per mile plus $20 rental fee.
A.Total distance=150 miles
Company A
Charges for 150 miles=[tex]150\times 0.25=[/tex]$37.5
Total charges=37.5+50=$87.5
Company B
Charges for 150 miles=[tex]150\times 0.45[/tex]=$67.5
Total charge=20+67.5=$87.5
The price for travelling 150 miles is same for both company.
But if distance greater than 150 miles such 155 miles
Company A
Total charge=[tex]155\times 0.25+50=[/tex]$88.75
Company B
Total charges=[tex]155\times 0.45+20=[/tex]$89.75
Company A is better deal if Joseph more than 150 miles.
If distance 145 miles
Price form company A=[tex]145\times 0.25+50=[/tex]$86.25
Price form company B=[tex]145\times 0.45+20=[/tex]$85.25
Company B is better deal if Joseph travel less than 150 miles.
Hence, option E is true.
Rodney models the factorization of a trinomial with algebra tiles as shown. Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model? pairs
Answer:
I believe the answer is 3. : )
the thickness of a deep dish pizza is approximately 2 x 10^-1 feet. the thickness of a thin crust pizza is approximately 5 x 10^-2 feet. how many times smaller is the thickness of a thin crust pizza compared to the thickness of a deep dish pizza?
A. 0.25
B.0.4
C4
D25
The thickness of a thin crust pizza is 4 times smaller than the thickness of a deep dish pizza.
The question asks us to compare the thickness of a deep dish pizza to that of a thin crust pizza and determine how many times smaller the thin crust is. The deep dish pizza has a thickness of 2 x 10⁻¹ feet and the thin crust pizza has a thickness of 5 x 10⁻² feet. To find how many times smaller the thin crust is, we divide the thickness of the thin crust by the thickness of the deep dish pizza:
(5 x 10⁻² feet) / (2 x 10⁻¹ feet) = 0.25
What are the zeroes of the function? What are their multiplicities?
= x4 – 4x3 + 3x2 (1 point)
10 COINS TO BEST ANSWER
Given the equation 2x^2 - 5x + 7 = 0.
Find the discriminant.
Describe the roots and explain your reasoning.
If 543 planes leave from JFK airport and each plane has 228 passengers, how many people have flown out of JFK? people;
123,804 people have flown out of JF-K airport based on the assumption of full plane occupancy. Real-world variations and logistical complexities may impact the actual number.
To find the total number of people who have flown out of JF-K, you can multiply the number of planes by the number of passengers per plane.
543 planes * 228 passengers/plane = 123,804 people
Therefore, 123,804 people have flown out of JF-K airport.
It's important to note that this calculation assumes each plane is fully occupied and that there are no variations in passenger counts.
In reality, the number of passengers on each plane may vary, and factors such as seat availability, ticket sales, and other considerations can affect the actual number of people who have flown out of JF-K. Additionally, this calculation does not account for return flights, layovers, or other complexities in air travel logistics.
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A constant is a value in a formula that doesn't change. _______________
The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association?
In graph 2, the dots are scattered and also no association.
What is an association?
An association (relationship) between two numerical variables can be described by its form, direction, strength, and outliers. A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables.
For the given situation,
There are four new consignments of t-shirts.
Each consignment contained t-shirts of five different sizes.
Graph is plotted as shown below between each of the t-shirt sizes and the profit earned on each new size.
If one variable increases as the other variable increases, there is said to be a positive association.
Two variables have a negative association when the values of one variable tend to decrease as the values of the other variable increase.
No association means that there is no line and all the dots are scattered.
From the graph shown, in graph 2 the dots are scattered. Thus no association.
Hence we can conclude that in graph 2, the dots are scattered and also no association.
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the formula, P=v^2/R, gives the relationship between resistance (R), voltage (V) and power P). solve the formula for resistance.
Answer: [tex]R=\frac{V^2}{P}[/tex]
Step-by-step explanation:
Given formula : [tex]P=\frac{V^2}{R}[/tex], gives the relationship between resistance (R), voltage (V) and power P).
When we multiply R to the both sides of the above equation, we get
[tex]PR=v^2[/tex]
Now, divide P on the sides, we get
[tex]R=\frac{V^2}{P}[/tex]
Hence, the formula for resistance will be
[tex]R=\frac{V^2}{P}[/tex], gives the relationship between resistance (R), voltage (V) and power (P).
Find the quotient.
2^3 ÷ 5^2
The natural history museum has a 1:75 scale model of an apatosaurus dinosaur. the length of the model is 30 centimeters. find the actual length x (in meters) of an apatosaurus.
Answer:
22.5 meters is the correct answer.
Step-by-step explanation:
These data show the ring size for a sample of 8 men 12 10 11.5,11.5, 12, 9, 9 , 11 what is the best approximation of the standard deviation of the ring size data
Answer:
Standard deviation of ring size is 1.253
Step-by-step explanation:
We are given the following data-set:
12, 10, 11.5, 11.5, 12, 9, 9, 11
n = 8
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{86}{8} = 10.75[/tex]
Sum of squares of differences = 1.5625 + 0.5625 + 0.5625 + 0.5625 + 1.5625 + 3.0625 + 3.0625 + 0.0625 = 11
[tex]S.D = \sqrt{\displaystyle\frac{11}{7}} = 1.253[/tex]
which geometric construction is shown below
According to apex, the answer is "Doubling the Square"
Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C = 2πr (round r to tenths); then find area). 1) 89 2)560 3)1,989 4)6,246
Answer:
4)6,246
Step-by-step explanation:
First we will find the value of r.
The formula for circumference is C = 2πr:
280 = 2(3.14)r
280 = 6.28r
Divide each side by 6.28:
280/6.28 = 6.28r/6.28
44.6 ≈ r
The formula for the area of a circle is
A = πr²
Using our value for r, we have
A = 3.14(44.6)² = 6245.9624 ≈ 6246
Area of circle is,
⇒ 11493.2 cm²
What is mean by Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
Circumference of circle = 280 cm.
Now, We know that;
Circumference = 2πr
Hence, We get;
⇒2πr = 280
⇒ 2 × 3.14 r = 380
⇒ 6.28 r = 380
⇒ r = 380 / 6.28
⇒ r = 60.5
Hence, Area of circle is,
⇒ πr²
⇒ 3.14 × 60.5²
⇒ 11493.2 cm²
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At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 5 km/hour faster than the bicyclist heading south. At 10:45, they are 47.25 km apart. Find the two bicyclists’ rates.
Given that (-8,-5) is on the graph of f(x), find the corresponding point for the function f(x-2)
Answer:
(3,-8)
Step-by-step explanation:
What is eight more than twice the greatest negative integer?
Starting at home, Jessica traveled uphill to the toy store for 12 minutes at just 10 mph. She then traveled back home along the same path downhill at a speed of 30 mph. What is her average speed for the entire trip from home to the toy store and back?
Answer: 15 mph
Step-by-step explanation:
Given: Time taken to travel uphill to the toy store= 12 minutes[tex]=\frac{12}{60}=0.2\ hour[/tex]
Let d be the distance(in miles) between the home and toy store.
Also, [tex]Speed=\frac{Distance}{Time}[/tex]
[tex]\\\Rightarrow10=\frac{d}{0.2}\\\Rightarrow\ d=0.2\times10=2[/tex]
Thus, distance from home to toy store= 2 miles
When she turn back, to home distance remains same.
The time taken by her to come back at 30 mph speed=
[tex]Time=\frac{Distance}{speed}=\frac{2}{30}=\ hour[/tex]
Now, the average speed =[tex]\frac{\text{Total distance}}{\text{Total time}}[/tex]
[tex]=\frac{2+2}{0.2+\frac{2}{30}}\\=\frac{4}{\frac{6+2}{30}}\\=\frac{4\times30}{8}=\frac{120}{8}=15\ mph[/tex]
Answer:
the answer is 15
Completed by Jerome Maples Jr.
Step-by-step explanation:
A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?
hurry
Answer:49 65
Step-by-step explanation:
PLEASE ANSWER ALL, IF YOU CANNOT ANSWER ALL THEN PLEASE DO NOT COMMENT A ANSWER!!! (YOU GET 22 POINTS!!)
1. What is 193.492 rounded to the nearest hundredth?
2. Compare the decimals 9,135.40 and 9,135.4.
Which comparison is correct?
A.9,135.40 < 9,135.4
B. 9,135.40 > 9,135.4
C. 9,135.40 = 9,135.4
Which is the best estimate for the product of 3,826.301 × 175.6?
A. 8,000,000
B. 800,000
C. 80,000
D. 8,000
Which is the best estimate for the quotient of 198.32 ÷ 9.001?
A. 2,000
B. 200
C. 20
D. 2
TYSM IF YOU ANSWER!!
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How many days would it take a loan of $18,889 to earn $500 exact interest at a 3.3% interest rate?
A scientist wants to measure out 0.62 liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal 0.62 liters?
To convert 0.62 liters to milliliters, you multiply 0.62 by 1,000, which equals 620 milliliters. Therefore, the scientist should measure out 620 milliliters of the liquid.
Explanation:When a scientist wants to measure out 0.62 liters of a liquid, but only has a beaker that measures volume in milliliters, she needs to first understand the conversion between liters and milliliters. 1 liter is equal to 1,000 milliliters. So, she would need to convert 0.62 liters to milliliters. She can do this by multiplying 0.62 liters by 1,000. This gives her 620 milliliters. Therefore, if a scientist wants to measure out 0.62 liters of a liquid, but the beaker only measures volume in milliliters, then she should measure out 620 milliliters.
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If ∠A, and ∠B, are complementary angles and if m∠A is 37°, what is m∠B?
A. 37°
B. 53°
C. 74°
D. 143°
Answer:
For this one the answer is b: 53 :)
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Before a renovation, a movie theater had 134 seats. After the renovation, the theater has 196 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
Answer:46.3%
Step-by-step explanation:
Final answer:
46.3%
Explanation:
To find the approximate percentage increase in the number of seats at the theater, subtract the initial number of seats from the final number, then calculate the percentage increase using this difference.
Percentage Increase:
To calculate the approximate percentage increase in the number of seats at the theater:
Find the difference in the number of seats after and before the renovation: 196 - 134 = 62 seats.Calculate the percentage increase: (62 / 134) * 100% ≈ 46.3%What is the solution to the equation 5x + 2y = -9
a.(2,-4)
b.(-1,2)
c.(-2,5)
d.(1,-3)
In order to find which one of the given points is a solution to the equation, we need to plug each point in the equation and check which one fits in .
The equation is :
5x+2y=-9
a.(2,-4)
5x+2y=-9
LHS: 5x+2y
Plugging (2,-4) in this,
5(2) +2(-4) = 10-8 =2
RHS : -9
LHS ≠RHS
So (2,-4) is not the solution.
b.(-1,2)
5x+2y=-9
LHS: 5x+2y
Plugging (-1,2) in this,
5(-1) +2(2) = -5+4 =-1
RHS : -9
LHS ≠RHS
So (-1,2) is not the solution.
c.(-2,5)
5x+2y=-9
LHS: 5x+2y
Plugging (-2,5) in this,
5(-2) +2(5) = -10+10 =0
RHS : -9
LHS ≠RHS
So (-2,5) is not the solution.
d.(1,-3)
5x+2y=-9
LHS: 5x+2y
Plugging (1,-3) in this,
5(1) +2(-3) = 5-6=-1
RHS : -9
LHS ≠RHS
So (1,-3) is not the solution.
None of the given options is a solution to the given equation.
Pauline is building a fence around her vegetable garden, what length of fence will she need to build?
please help thank you.
Solve. −4.2y+2.1>−2.52 Drag and drop a number or symbol into each box to show the solution. <>0.11.14.62−4.62 y
In a paddock there are emus and wombats. If there are 52 heads and 148 feet, how many emus are in the paddock?