Answer:
5418.54
Step-by-step explanation:
because yes
4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116
Find the arc length of the partial circle.
if owen has a collection of nickels and quarters worth $8.10. if the nickles were quarters and the quarters were nickels, the value would be 17.70 find the number of each coin?
2
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:
y = 4x + 3
y is the total cost of bowling
x is the number of games bowled
Based on the information, which statement is true?
Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D
You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd power. the cost of the material for the base is $0.40 per square cm and the cost of the material for the side is $0.10 per square cm.How to determine the dimension of the box that will minimize the cost of manufacturing. What is the minimum cost? in dollars and rounded to the nearest cent.
Answer:
$69.21
Step-by-step explanation:
Since the box has a square base the length and breadth of the box will be equal. Let it be [tex]x[/tex]
Let h be the height of the box
V = Volume of the box = [tex]620\ \text{cm}^3[/tex]
[tex]x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}[/tex]
Now surface area of the box with an open top is given
[tex]s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}[/tex]
Differentiating with respect to x we get
[tex]\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}[/tex]
Equating with zero
[tex]0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74[/tex]
Double derivative of the function
[tex]\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0[/tex]
So, x at 10.74 is the minimum value of the function.
[tex]h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37[/tex]
So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.
The total area of the sides is [tex]4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2[/tex]
The area of the base is [tex]x^2=10.74^2=115.35\ \text{cm}^2[/tex]
Cost of the base is $0.40 per square cm
Cost of the side is $0.10 per square cm
Minimum cost would be
[tex]230.7\times 0.1+0.4\times 115.34=\$69.21[/tex]
The minimum cost of the box is 69.21 dollars.
Question 6
Ryan spent half of his weekly allowance on candy. To earn more money, his parents let him clean the windows in his house for $9. He
ended with $15. Which equation would represent this situation?
Answer:
x=6
Step-by-step explanation:
Let X = Rob's weekly allowance
If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X
After he earned $6 for cleaning the oven, he had $9.
So,
(1/2)X + 6 = 9
(1/2)X = 3
X = 6
Patrick is 5.432 feet tall, Ivan is 5.503 feet tall, Laura is 5.413 feet tall, and Daisy is 5.510 feet tall. Which of the following lists them in order from tallest to shortest?
Answer:
Daisy, Ivan, Patrick, Laura
Step-by-step explanation:
That's just the numbers biggest to smallest.
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
What is the simplest form for 15:25
Answer:
3/5
Step-by-step explanation:
Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)
DONT ANSWER WAIT 5 MINUTES LM AO
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Answer:
thankssssssssss cuhhhhhhh
Step-by-step explanation:
lm ao like if they are gonna wait lol
Help, i will do brailiest and everything!!!
a) Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b) Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer: a) 62.591 lb b) 7.5
Step-by-step explanation:
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a) Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b) 33.4/4 = 8.35
Tada!!!!!
-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
which is the right andwer?????????? please help me
Answer:
The first one
A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?
Answer:
50 golf balls
Step-by-step explanation:
200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.
To check the answer you do 50 times four.
Answer:
50 in each small bucket
The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.
Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.
NOTE: 4 inequalities are expected.
Answer:
4y + 6x ≤ 96
12y + 2x ≤ 96
Step-by-step explanation:
Paper shredders produced :
Home :
Assembling time = 4 hours
Finishing work unit = 12
Office :
Assembling time = 6 hours
Finishing work unit = 2
Maximum number of assembly hours = 96 / day
Maximum number of finishing hours = 96/ day
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day
(office Assembly hours x Number of office model) + (Assembly hours * number home models)
OFFICE MODEL:
Assembly operation :
Home + office ≤ 96
4y + 6x ≤ 96
Finishing operation :
Home + office ≤ 96
12y + 2x ≤ 96
If a car travels 23 miles in 20 min what is the. car speed in miles per hour?
Answer:
69 miles per hour
Step-by-step explanation:
car travels 23 miles in 20 min
So 20 min=20/60hour
=1/3. hour
Speed of the car=23÷1/3
=69 miles/hour
So the final answer is 69miles/hour
Martin is interested in joining a gym and has researched the cost of two gyms close to his
house Gym A has a $50 registration fee and costs $30 per month. Gym B has a $100
registration fee and costs $10 per month. The cost of joining each gym can be modeled by the
expressions below, where m represents the number of months.
• Gym A: 30m + 50
• Gym B: 10m + 100
Answer:
I suppose that you want to find which gym will be cheaper for you.
We have two equations:
• Gym A: 30m + 50
• Gym B: 10m + 100
First, let's find the value of m such that both gyms cost exactly the same:
30*m + 50 = 10*m + 100
Let's solve this for m
30*m - 10*m = 100 - 50
20*m = 50
m = 50/20 = 2.5
now:
for m < 2.5, Gym A will be cheaper, because the y-intercept is smaller.
for m > 2.5, Gym B will be cheaper, because the slope is smaller,
Then depending on the number of months that Martin wants to go to the gym, he can se the info above to pick the one that is cheaper.
solve the following formula for H. r=n/2(b+H)
Answer:
See below.
Step-by-step explanation:
What you wrote means:
[tex] r = \dfrac{n}{2}(b + H) [/tex]
If that is what you meant, then the answer is:
[tex] \dfrac{2r}{n} = b + H [/tex]
[tex] H = \dfrac{2r}{n} - b [/tex]
On the other hand, if this is what you meant:
[tex] r = \dfrac{n}{2(b + H)} [/tex]
then the answer is:
[tex] 2r(b + H) = n [/tex]
[tex] 2rb + 2rH = n [/tex]
[tex] 2rH = n - 2rb [/tex]
[tex] H = \dfrac{n - 2rb}{2r} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]
I need some help with these, I would appreciate it.
A charity sells tickets for a fundraising dinner. Each adult's ticket cost $10 and each child's ticket cost $5. A total of $1050 was raised by selling 130 tickets. How many adult and child tickets were sold? Let x represent the number of adult tickets and y represent the number of child tickets.
Number of Adult Tickets Sold =
Number of Child Tickets Sold =
Answer:43
Step-by-step explanation:
John puts $1,500 in a savings account that earns 7% simple interest annually. Find the new
balance in his savings account after three years if John does not deposit or withdraw any
money.
Answer:
$1,815
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the values we know:
I = prt
I = (1,500)(0.07)(3)
I = 315
Add this to the original amount:
1500 + 315
= 1,815
So, John will have $1,815 in his account after 3 years.
Refrigerators in a random sample of 55 refrigerators, the mean repair cost was $150.00 and the standard deviation was $15.50. Construct a 90% confidence interval for the population mean repair cost. Interpret the results.
Answer:
146.5619<x<153.4381
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as:
CI = xbar±(z*s/√n)
xbar is the mean = 150
s is the standard deviation = 15.50
n is the sample size = 55
z is the z score at 90% CI = 1.645
Substitute and get CI
CI = 150±(1.645*15.50/√55)
CI = 150±(1.645*15.50/7.4162)
CI = 150±(1.645*2.09)
CI = 150±(3.4381)
CI = (150-3.4381, 150+3.4381)
CI = (146.5619, 153.4381)
CI = 146.5619<x<153.4381
Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381
The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153
If the mean of a positively skewed distribution is 70, which of these values
could be the median of the distribution?
Answer:
65
Step-by-step explanation:
just took the quiz.com
plz help me
is 7/3 less than 6
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
2 1/3 < 6
Hope this helps <3
please give brainliest
A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 35 minutes.
Answer:
Step-by-step explanation:
From the given information:
[tex]R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min[/tex]
Given that the solution is pumped at a slower rate of 4gal/min
Then:
[tex]R_{out} = \dfrac{4A}{100+(6-4)t}[/tex]
[tex]R_{out}= \dfrac{2A}{50+t}[/tex]
The differential equation can be expressed as:
[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)[/tex]
Integrating the linear differential equation; we have::
[tex]\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|[/tex]
[tex]\int_c \dfrac{2}{50 +t}dt = (50+t)^2[/tex]
multiplying above integrating factor fields; we have:
[tex](50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2[/tex]
[tex]\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2[/tex]
[tex](50 + t)^2 A = (50 + t)^3+c[/tex]
A = (50 + t) + c(50 + t)²
Using the given conditions:
A(0) = 20
⇒ 20 = 50 + c (50)⁻²
-30 = c(50) ⁻²
c = -30 × 2500
c = -75000
A = (50+t) - 75000(50 + t)⁻²
The no. of pounds of salt in the tank after 35 minutes is:
A(35) = (50 + 35) - 75000(50 + 35)⁻²
A(35) = 85 - [tex]\dfrac{75000}{7225}[/tex]
A(35) =69.6193 pounds
A(35) [tex]\simeq[/tex] 70 pounds
Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answer:
No. He will not have enough dog food for 27 days.
Step-by-step explanation:
If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.
What function represents the amount of change given from a $10 bill, f(x), based on x, the number of bagels purchased? f(x) = 4x + O f(x) = -x + 10 Of(x) = x + 10 O f(x) = -x + 10
Answer:
the answer is c
Step-by-step explanation:hope this helps
Answer:
C or the third option, 3/4 x + 10
Step-by-step explanation:
100% correct please mark brainlist. HAVE A GREAT DAY
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.
No change in area if sides of rectangle are equal.
Hope this helps.
88) 4 times a number decreased by 8 equals 40
A) x=80 B) x = 40 C) x=8
D) x = 12
How many factors are in a B + CD + EF + GH
The given expression is
=ab+cd+ef+gh
The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction, Multiplication and Division.
→The expression consists of four terms which are, ab, cd, ef, and gh.
→Each term contains
Two factors.
plz mark as brainliest