Answer:
the answer is 14 for each person
Step-by-step explanation:
there are 5 apples. 10 mangos and 13 oranges so if yo add them all up its 28 and half of 28 is 14 so theres your answer.
im so so sorry i it does happen to be wrong.
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.34 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.16 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
Answer:
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
Step-by-step explanation:
Geometrically speaking, the volume of the rectangular box ([tex]V[/tex]), in cubic feet, is represented by this formula:
[tex]V = l^{2}\cdot h[/tex] (1)
Where:
[tex]l[/tex] - Side length of the box, in feet.
[tex]h[/tex] - Height of the box, in feet.
In addition, the total cost of the box ([tex]C[/tex]), in monetary units, is defined by this formula:
[tex]C = (c_{b}+c_{t})\cdot l^{2} + 4\cdot c_{s}\cdot l\cdot h[/tex] (2)
Where:
[tex]c_{b}[/tex] - Unit cost of the base of the box, in monetary units per square foot.
[tex]c_{t}[/tex] - Unit cost of the top of the box, in monetary units per square foot.
[tex]c_{s}[/tex] - Unit cost of the side of the box, in monetary units per square foot.
By (1), we clear [tex]h[/tex] into the expression:
[tex]h = \frac{V}{l^{2}}[/tex]
And we expand (2) and simplify the resulting expression:
[tex]C = (c_{b}+c_{t})\cdot l^{2}+4\cdot c_{s}\cdot \left(\frac{V}{l} \right)[/tex] (3)
If we know that [tex]c_{b} = 0.34\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{s} = 0.05\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{t} = 0.16\,\frac{m.u.}{ft^{2}}[/tex] and [tex]V = 40\,ft^{3}[/tex], then we have the resulting expression and find the critical values associated with the side length of the base:
[tex]C = 0.5\cdot l^{2} + \frac{8}{l}[/tex]
The first and second derivatives of this expression are, respectively:
[tex]C' = l -\frac{8}{l^{2}}[/tex] (4)
[tex]C'' = 1 + \frac{16}{l^{3}}[/tex] (5)
After equalizing (4) to zero, we solve for [tex]l[/tex]: (First Derivative Test)
[tex]l-\frac{8}{l^{2}} = 0[/tex]
[tex]l^{3}-8 = 0[/tex]
[tex]l = 2\,ft[/tex]
Then, we evaluate (5) at the value calculated above: (Second Derivative Test)
[tex]C'' = 3[/tex]
Which means that critical value is associated with minimum possible total costs. By (1) we have the height of the box:
[tex]h = 5\,ft[/tex]
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
I’m having trouble on number 4
Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate6cars per minute. Adeer runs out of the woods and tries to cross the road. It takes the deer a random time (independentof everything else), uniformly distributed between2and5seconds, to cross the road. If there is acar passing while the deer is on the road, it will hit the deer with portability2/3(independent ofeverything else). Find the probability of a collision.
Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
[tex]X \sim Poisson (0.5)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.5}[/tex]
[tex]= 1 - 0.6065[/tex]
[tex]= 0.3935[/tex]
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
[tex]Y \sim Poisson (0.2)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.2}[/tex]
[tex]= 1 - 0.8187[/tex]
[tex]= 0.1813[/tex]
The financial officer is promoting a short-term investment with 9% return on any deposit
over $999. Tammy invest $1,800 and earns $486. How long did she invest her
money?
Answer:44
Step-by-step explanation:
MEMO
To: All businesses in Simpsons Square Mall
From: Louise Pembrooke, Simpsons Square Mall Manager
Re: New garbage collection rules
Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.
Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.
You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:
10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.
Answer:
hhhhhh
Step-by-step explanation:
i think it is 40
Plz help ASAP 20 points 10. What is the equation of a circle with radius, r = 4, and the center at (0,0)?
A.X² + y² = 4
B.22 + y2 = 16
C.2 - 4)+ (y – 4) = 4
B.(.2 - 4)? + (y – 4)2 = 16
Answer:
a
Step-by-step explanation:
the equation for a circle centered at orgin is x^2+y^2=r where r is the radius. multiplying, adding, or subtracting any numbers to the x and y components such as the other choices here causes the circle to be translated about the graph.
The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the Web. Therefore, it is of interest to these companies to determine who is using the Web. A statistics practitioner undertook a study to determine how education and Internet use are connected. She took a random sample of 15 adults (20 years of age and older) and asked each to report the years of education they had completed and the number of hours of Internet use in the previous week. These data follow.
Education 11 11 8 13 17 11 11 11
Internet use 10 5 0 14 24 0 15 12
Education 19 13 15 9 15 15 11
Internet use 20 10 5 8 12 15 0
a. Employ a suitable graph to depict the data.
b. Does it appear that there is a linear relationship between the two variables? If so, describe it.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11
Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0
Labeled scatter plot of Education and Internet Use is attached in the picture below.
Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.
The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048
Find the area of this composite figure
Answer:
81 m²
Step-by-step explanation:
6x10=60
1/2(6)(7)=21
60+21=81
you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell each week?
Answer: 8
Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84
84- 36 = 48/6 = 8
Y=-2x^2+16x-35
Axis of Symmetry?
Answer:
Step-by-step explanation:
y=-2x²+16x-35
=-2(x²-8x+16-16)-35
=-2(x²-8x+16)+32-35
=-2(x-4)²-3
axis of symmetry is x-4=0
or x=4
Answer:
y=2x^2+16x-35
a=2, b=16
x= -[tex]\frac{16}{2x2}[/tex]
x=-4
4n-11=9 replacement set of 4,5,6
Answer:
n = 5
Step-by-step explanation:
4n - 11 = 9
+ 11 = +11
4n = 20
4n/4 = 20/4
=5
QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!!
Answer:
c.vertical angle is the answer
Answer:
c
Step-by-step explanation:
vertical
correct answer is c
Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.
1) What is the probability that less 60% of them are girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
2) What is the probability that more than 70% of them to be girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
3) Would it be unusual for more than 70% of them to be girls.
Type "usual" or "unusual" in the box
Answer:
a
c
b
i think those are right hope im not wrong good luck
Write each power as a product and find each value. 10^3
Answer:
1,000
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf 1000}[/tex]
Step-by-step explanation:
10³
This means that 10 is being repeated 3 times.
So,
= 10 * 10 * 10
= 1000
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807mr miller bought 1/3 pounds of nuts he divided the nuts equally among his three children how much did each child get
Answer:
1/9
Step-by-step explanation:
1/3 ÷ 3 = 1/9
People use the KCF method for this kind of solution.
At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.
The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
0 6 x 107
0 6x 107
60 x 10-6
60 106
The scientific notation for this is :-6x10⁷
Slope= -1/2 Line passes through the point (9,8). Write equation with point slope form
What are the solutions to the quadric equation x^2-16=0
Answer:
x=4, x=-4
Step-by-step explanation:
x^2-16=0
Add 16 to both sides;
x^2-16+16=0+16
Simplify;
x^2=16
x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]
[tex]\sqrt{16}[/tex]
=4
factor the number;16
[tex]\sqrt{4^2}[/tex]
=[tex]\sqrt{4}[/tex]
-[tex]\sqrt{16}[/tex]
Factor the number 16;
[tex]\sqrt{4^2}[/tex]
=-4
express T¹ in terms of S¹ 3+7+11+15+19+23+27
Click or tap the location where the first dot should be
placed.
CI
Answer:
C.I
Step-by-step explanation:
Answer:
two on the top
one to the left
two to the right
two on the bottom
Step-by-step explanation:
Please help, this is due in 30 minutes
Answer:
i think the first one maybe... not so sure
Answer:
Should be B and D
Step-by-step explanation:
You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.
10 hours to drive 550 miles how many miles per hour ? find rhe unite rate
Answer:
55 mph
Step-by-step explanation:
divide the miles by hours
Five times a number is 49 greater than the product of 2 and the opposite of the number, What is the number?
Answer:
The answer is 7
Step-by-step explanation:
5x+2x=49-2x+2x
7x=49+0
7x/7=49/7
x=7
The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Five times a number is 49 greater than the product of 2 and the opposite of the number.
Let the number is x:
From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:
5x + 2x = 49 - 2x + 2x
After solving the above equation:
7x = 49
x = 49/7
x = 7
Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Find the area of the polygon
Answer:
14 square units
Whats the relationship between a and b
they are supplemen angles
What are the solutions to x2 + x - 5≤0
I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
---
hope it helps
are -(x-4) and -x+4 equivalent?
Answer:
no
Step-by-step explanation:
Answer:
yes they are
Step-by-step explanation:
I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make
Answer:
24
Step-by-step explanation:
It take 4 to make one yard and you need six yards soo..
6 x 4 = 24
Answer:
24 ornaments
Step-by-step explanation:
[tex]\frac{1}{4} = 25%[/tex]%
6 yards x 0.25 = 1.5 yards
[tex]\frac{6}{0.25} = 24[/tex] ornaments
to check:
24 ornaments x 0.25 yards each = 6 yards in total
I just need an approximate value.
Answer:
1.898 ×10^27 kg for Jupiter
and for Neptune 1.024×10^26 kg
Answer:
Hola
Step-by-step explanation:
Please answer this correctly correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes