Answers
Answer:14
Step-by-step explanation:
14
Related Questions
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.
Answers
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.
deduct 18.729 from the sum of 29.178 and 9.65
Answers
Answer:
Step-by-step explanation:
the sum of 29.178 and 9.65
29.178
+ 9.650
= 38.828
Sum =38.828
Deduct 18.729 from the sum
38.828
-. 18.729
=20.099
So the answer is 20.099
i think so, hope this helps
The difference between a number y and 9 is -34. What is the number?
Answers
Answer:
y-9=34
y=34+9
y= 43
Step-by-step explanation:
please Mark as brainliest
Answer:
y= -25 because if you add -25 to 9 it gives you -34
At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?
Answers
Answer: 117 tickets left
Step-by-step explanation:
9x17=153
153-36=117
A friend gives you two baseball cards for your birthday. Afterward you begin collecting them. You buy the same number of cards once each week. The equation y=4x +2 describes the number of cards ,y, you have after x weeks.
Answers
Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.
Step-by-step explanation:
Answer:
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
Step-by-step explanation:
Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4
Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:
m is the slope
b is the y-intercept.
We have that:
Slope, m=2.
A slope of 2 indicates that you buy 2 cards per week.
The y-intercept of the line, b=4.
This is the starting value. In this case, it represents the number of cards you were given by your friend.
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 60% of the market. Assume that the variable is normally distributed.
Answers
Answer:
Step-by-step explanation:
P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =
0.60+0.4/2
0.60+0.2
= 0.8
Considering the standard normal distribution table, we have a = 0.80, thus
z =(x-m)/std = 0.80
the maximum x = m + 0.80×std =
Where m = 246300
Std = 15000
246300+0.80×15000
= 246300+12000
= 258300
For the minimum x
x = m - 0.80×std
x = 246300-0.80×15000
246300-12000
= 234300
When the following quadratic equation is written in standard form, what is the value of "c"?
Answers
Answer:
it's 2
Step-by-step explanation:
a= -3/4
b=0
c=2
Use absolute value to express the distance between 10 and −4.
Answers
Answer:14
Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate.
• 12 students voted for strawberry.
20 students voted for vanilla.
What percentage of the students chose chocolate as their favorite ice-cream flavor?
Answers
Answer:36%
Step-by-step have 12+18+20 which equals 50 and 18 out of 50 is 36%
The percentage of the students who chose chocolate as their favorite ice cream flavor will be 36%
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, there are 18 students voted for chocolate,12 students voted for strawberry and 20 students voted for vanilla.
The total number of students = 18+12+20 = 50
A percentage of the students chose chocolate as their favorite ice cream flavor is,
%choclate = (Number of students voted for chocolate / Total student)×100
%choclate =(18/50)×100
%choclate =36%
Learn more about the percentage here:
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About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.
Answers
Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)
Answers
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)
The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3)
Here,
To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.
Original vertices of the triangle:
P(-7, -1)
Q(-7, -8)
R(3, -3)
Now, swap the x and y coordinates to get the reflected image:
Reflected image vertices:
P'( -1, -7)
Q'( -8, -7)
R'( -3, 3)
So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).
Therefore, the correct answer is:
P'( -1, -7), Q'( -8, -7), R'( -3, 3).
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In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?
Answers
Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]
[tex] \frac{10}{n + 2} = 2 [/tex]
Multiply both sides by (n + 2)
[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]
[tex] 10 = 2n + 4 [/tex]
Subtract 4 from each side
[tex] 10 - 4 = 2n + 4 - 4 [/tex]
[tex] 6 = 2n [/tex]
Divide both sides by 2
[tex] \frac{6}{2} = \frac{2n}{2} [/tex]
[tex] 3 = n [/tex]
n = 2
Standardization of Normal Distribution is the process of
Answers
Answer:
Step-by-step explanation:
Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.
A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°
Answers
Answer:
we have the same question
Step-by-step explanation:
please tell me what you got when you receive an answer
Answer:
30 degrees
Step-by-step explanation:
we need to compute angle A and angle B (see figure below)
hence,
[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]
this implies that A=60 degrees.
Since interior angles of a triangle add up 180 then,
A+B+90=180
60+B+90=180
B+150=180
B=180-150
B=30 degrees
which is the smallest angle
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)
Answers
Answer:
The maximum value of the table t(x) has a greater maximum value that the graph g(x)
Step-by-step explanation:
Hope this helps :P
Which shows the best estimate of the quotient of 4,346 +82?
between 50 and 60
between 60 and 70
between 500 and 600
between 600 and 700
Answers
Answer:
between 500 to 600 because I like
can someone help me with this?
Answers
Answer:haha no
Step-by-step explanation:
The degree of the expression 4x5ymz is 10. What is the value of m?
Answers
Answer:
the answer is 4
Step-by-step explanation:
What are the zeros of the function? h(t)=(t -4)(t+8)
Answers
0 = (t-4) (t+8)
t = 4, t = -8
Answer:
4 and -8
Step-by-step explanation:
Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0
[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]
Solve for the values of x and y
Answers
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side x=26 units
Step-by-step explanation:
The Pythagorean theorem states
[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]24^2\:+\:10^2\:=\:x^2[/tex]
switch both sides
[tex]x^2=24^2+10^2[/tex]
[tex]x^2=576+100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]
[tex]x=26,\:x=-26[/tex]
As x can not be negative.
Therefore, the value of the missing length of the side x=26 units
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side y=15 units
Step-by-step explanation:
Considering the right-sided right triangle
The Pythagorean theorem states
[tex]a^2\:+\:b^2\:=\:c2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]
[tex]225+y^2=450[/tex] ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]
[tex]y^2=225[/tex]
[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]
[tex]y=15,\:y=-15[/tex]
As y can not be negative.
Therefore, the value of the missing length of the side y=15 units
Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.
According to this system of equations, can Leanne meet both her goals?
A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.
B.
No, she cannot ride the exercise bike a negative number of minutes.
C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.
D.
No, she cannot run on the treadmill for a fractional number of minutes.
Answers
Answer: C
Step-by-step explanation:
step 1: I
step 2: just
step 3: took
step 4: it
final answer: i took the test and got a 100 so its definitely C.
<3
Find the area of the parallelogram.
Answers
Answer:
Step-by-step explanation:
Area of parallelogram = base * height
= 3 * 3
= 9 square units
Express decimal as a fraction 8.25
Answers
Answer:
33/4
Step-by-step explanation:
Find the slope of (5,-5) and (-4,5)
Answers
Answer:
Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Step-by-step explanation:
We need to find the slope of points (5,-5) and (-4,5)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]
So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Help me pleaseeeeeee
Answers
The answer is the second one
Explanation above
Answer:
The correct answer is "y = 3/4x"
Step-by-step explanation:
Slope-intercept form is y2-y1/x2-x1. If you place the points into slope-intercept form you get 6-3/8-4. After reducing the fractions you will get 3/4. So the equation is y = 3/4x.
1.2, 1.05, 1.5, 1.005
In order from smallest to largest
Answers
Answer:
1.005, 1.05, 1.2, 1.5
Step-by-step explanation:
think of it as:
1.200
1.050
1.500
1.005
then we can see that from least to greatest, it is: 1.005, 1.05, 1.2, 1.5
A city is approximately circular with a radius of 10.6 miles. Approximately 90,000 people live there. What is the population density of this city?
Answers
Answer:
513 people per square mile
Step-by-step explanation:
because
What are the answers and explain
Answers
Answer:
Step-by-step explanation:
answers to what
PLEASE SOMEONE I NEED IT ASAP DUE AT 6:30!!!
Someone please....
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answers
Answer:
Mercantilism - trading or selling various of goods or products for commission
import - to bring goods in form another source/place
export - send goods to another coutry for money or other items
enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)
Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England
Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.
English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy
Which term describes the figure? Please help
Answers
Answer:
C . None of these
Is the answer.
Step-by-step explanation:
Because parallel lines do not intersect.
And perpendicular lines form angle of 90°.
Answer:
None of the above.
Step-by-step explanation:
Those lines are intersecting lines. Parallel lines face each other and never meet. Perpendicular lines do meet, but they form a 90 degree angle, which this doesn't. Intersecting lines meet, but don't form a 90 degree angle.
Hope this helps!