Answer:
The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"
Step-by-step explanation:
The perimeter of the fence [tex]=2x+y[/tex]
cost of fence[tex]=12(2x+y)[/tex]
cost of corner ports[tex]= 4 \times 5=20[/tex]
cost of pen[tex]= 24x+12y+80.............(1)[/tex]
area of pen[tex]=2400[/tex]
[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]
cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]
[tex]=24x+ \frac{28800}{x}+20[/tex]
1. Kim ran the 100-meter race in 135.46 seconds. Tyron ran faster by 15.7 seconds. What was Tyron’s time for the 100-meter dash?
2. Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if ml is taken each time?
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Answer:
119.76
8 days
0.5217
93
Step-by-step explanation:
Given that:
1)
Kim's time = 135.46 seconds
Tyron's time is 15.7s faster ;
Tyron's time = 135.46 - 15.7 = 119.76
Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?
(2 1/2 * 3) = 7.5 mL per day
60 mL / 7.5 = 8 days
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
Total bought = 23 of a kilo of meat
Amount cooked = 12 /23= 0.5217 kilo
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
Cost per meter :
813.75 / 8.75 = 93 per meter
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Question 5 is Incomplete
PLEASE HELP PICTURE ATTACHED
Answer:
x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5
Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:
The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:
[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]
To solve this integration, use substitution method, in which:
[tex]u=x^{2}+1[/tex]
[tex]\frac{du}{dx}=2x[/tex]
du = 2xdx
Replacing into the integral:
[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]
Solving:
[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]
Replacing it back to x:
[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]
Substituing limits between 0 and 6:
[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]
= 149.37
Area under the curve using Integration is 149.37 square units
Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.
The method is done by the following relation:
in which
i is the n, the number of subintervals the area is dividing into
Δx is width of each subintervals.
For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:
subinterval n1 = 12:[tex]\Delta x=\frac{6-0}{12}[/tex]
[tex]\Delta x=[/tex] 0.5
[tex]A=\Sigma f(x_{i}).\Delta x[/tex]
[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]
[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]
A = 131.575 square units
subinterval n2 = 5:[tex]\Delta x=\frac{6-0}{5}[/tex]
Δx = 1.2
[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]
[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]
A = 108.24 square units
Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
Find the product of 3 1/5 and 5/8. Express your answer in simplest form
Answer:
8 4/5
Step-by-step explanation:
Answer:
this is the answer i hope it helps you 3 33/40
what is 13x144 i don't know what it it im 2nd grade
Answer:
Step-by-step explanation: 1,872
Answer: 1,872
Step-by-step explanation:
3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question
Answer:
The answer is 6 6/12
Step-by-step explanation:
The sum of the perimeters of an equilateral triangle and a square is 22. Find the dimensions of the triangle and the square that produce a minimum total area. dimension of triangle dimension of squar
Answer:
The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Step-by-step explanation:
let a side of the equilateral triangle = x
let a side of square = y
3x + 4y = 22
4y = 22 - 3x
[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]
subjective function, the total area is given by;
[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]
[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]
solve for y
[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]
Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
2
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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum
Answer:
p
Step-by-step explanation:
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
otld7dlyzotzfkztkzk
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
1+7 pls help me nowwwww
If the ribbon costs 10 cents ($0.10) per foot, what is the total cost of the ribbon in dollars? Explain your reasoning.....how do you know where to place the decimal?
Answer:
The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar
Step-by-step explanation:
Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
hiii my dudeeeeeeeeeeee
Answer:hi how’s it going
Step-by-step explanation:
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Hhhhhheelllp ASAPpppppp
Answer:
c
Step-by-step explanation:
Help Asap! Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Measure of angle 3 is,
⇒ ∠3 = 90 degree
We have to given that,
A kite is shown in image.
Since, We know that,
If two sides of triangle are equal then its corresponding angles are also equal in a triangle.
Now, By given figure, we have;
64 x 2 + x + x = 180
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
So, We get;
Measure or angle 1 is,
∠ 1 + 64 + 26 = 180
∠1 = 180 - 90
∠1 = 90 degree
Hence, By definition of vertically opposite angle,
⇒ ∠1 = ∠3 = 90 degree
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
Please help on this math question! I will love to help back on anything and give brainliest
Answer:
the perimeter is 25.
Step-by-step explanation:
have a nice day!
If the coordinate ( -12, 15 ) was translated according to (x+3, y-2), what would the new coordinate be?
I will give you brainliest
Answer:
3 /4 I think
Step-by-step explanation:
please help! due in less than 20 minutes!
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
answer 6, as quick as you can please
9514 1404 393
Answer:
0 ft
Step-by-step explanation:
The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.
What is 52% of 230?
Answer:
4
Step-by-step explanation:
Answer:
119.6
Step-by-step explanation:
52 × 230 over 100 = 119.6
A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-4, -5)(−4,−5). What is the vertex of the function defined as g(x)=f(x+2)+3g(x)=f(x+2)+3?
Answer:
The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
Step-by-step explanation:
If the graph of the function f(x) is translated h units to the left, then its image g(x) = f(x + h)If the graph of the function f(x) is translated k units up, then its image g(x) = f(x) + kLet us use these facts above to solve the question
∵ The quadratic function f(x) = y has a vertex point (-4, -5)
∵ g(x) = f(x + 2) + 3
→ By using the two facts above
∴ f(x) is translated 2 units to the left
∴ f(x) is translated 3 units up
→ That means the vertex point must move 2 units left and 3 units up
∵ The rule of translation is T (x, y) → (x - 2, y + 3)
∵ The coordinates of the vertex point of f(x) are (-4, -5)
∴ Its image is (-4 - 2, -5 + 3)
∴ Its image is (-6, -2)
∴ The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
Please find the x, thank you!
Answer:
X=8
Step-by-step explanation:
Hope this helps
HELP please
David goes to LongHorn with his friend Alice. Their bill comes out to be $45.90. They decide to tip the waiter 25%. What is their total amount they leave?
Answer:
$57.38
Step-by-step explanation:
The total bill is $45.90.
They decided to tip the waiter 25%.
Therefore, the total amount they leave will be the total bill plus the amount they will tip.
They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).
So, the amount they will leave is the original amount plus the tip. So, in total, they left:
$45.90+$11.48 or $57.38
Answer:
57.38
Step-by-step explanation:
percent means per one hundred, or 1/100.
25%=25/100
45.90 times 25/100= 11.475
Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.
11.48+45.90=57.38
Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.