Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
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Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
Given: Sum of two numbers=91
To find: Two consecutive numbers which add up to form 91
Solution:
Consecutive numbers are those numbers which have a difference of one between them.
First divide 91 into two halves, we get 45.5
Now we know 45.5+45.5=91
But the numbers should differ by one in order for them to be consecutive.
Hence we subtract 0.5 to get one number and add 0.5 to get the second number from 45.5
So, the two numbers are 45.5–0.5=45
and 45.5+0.5=46
Hence the two numbers are 45 and 46.
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
Name this net pattern.
Answer:
triangular pyramid
Step-by-step explanation:
rectangle phone is 20 inches wide and 25 inches tall and enlargement of that photo is 32 inches wide and 40 inches tall with a scale factor being used in large the photo
0.625
1.6
1.28
0.78
Helpppp idfk what’s an irrational number out of these
Answer:
Answer is 5/3. The third one :)
Step-by-step explanation:
One cup of oatmeal is 300 calories, if you add milk, the calories increases to 340. What is the percent of increase?
Answer:
13.33%
Step-by-step explanation:
I hope that is useful for you :)
Find the balance
$375 at 4% interest compounded annually for 3 years
Answer:
3
Step-by-step explanation:
pay back in 1 year with 3% annual interest $375 at 4% interest annually for 3 years
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:
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
Step-by-step explanation:
=20x14x;14x2x0;8x17;3x0;5x0;5y
=280x28x13;84x0;25y
=7840x3;46y
=27 126;4y
I just want to know what the person above/under me said.
Step-by-step explanation:
thanks
Find the area of each figure. Round to the nearest tenth if necessary
Find a degree
4
polynomial having zeros
−
6
,
−
4
,
3
and
8
and the coefficient of
x
4
equal
1
.
Answer:
755757
Step-by-step explanation:
GIVING BRAINLIST
Percents to decimals.
What is 3.22 changing it to a decimal
Answer:
if it is 3.22% then the answer is 0.0322
3.22 ÷ 100 = 0.0322
hope this answer will help you
have a great time
Answer:
0.0322
Step-by-step explanation:
Please help, will mark brainliest!!!
Answer:
ok let h square be x square
(c+4)^2(4-c)^2 i need help
Answer
c^4-32c^2+256 (Simplified)
Consider the conditional statement: "If I skip dinner, then I won't sleep well tonight."
Write the statement in its equivalent disjunctive form.
Answer:
I won't sleep well tonight, if l skip dinner.
11. Which value makes the following inequality TRUE? 4 – 8x > 2 11
Answer:
If that number is 211, then any value below -26 will work
which value of x makes the equation 12x -15 = 6 -3x
Answer:
x=7/5
Step-by-step explanation:
12x+3x=15+6
15x=21
x=7/5
Answer:
X= [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Ok...
Get ready to see Alot more numbers
1. Rearrange terms.
12x-15=6-3x
12x-15=-3x+6
2. Add 15 to both sides.
12−15=−3+6
12−15+15=−3+6+15
3. Simplify
If you add the numbers you will get:
12x=-3x+21
4. Add 3x to both sides of the equation.
12x=-3x+21
12x+3x=-3x+21+3x
5. Simplify
If you combine the like terms you will get,
15x=21
6. Divide both sides of the equation by the same term.
15x=21
[tex]\frac{15x}{15}[/tex] = [tex]\frac{21}{15}[/tex]
7. Simplify
If you cancel terms that are in both of the numerator and denominator, then divide the numbers you will get:
x= [tex]\frac{7}{5}[/tex]
I hope this helps :)
- 12 = 2 + 5d + 2d
................
Answer:
-2
Step-by-step explanation:
12=2+7d
7d= -12-2
7d= -14
d= -14
-----
7
d= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-12 = 2 + 5d + 2d}[/tex]
[tex]\large\text{FLIP the EQUATION}[/tex]
[tex]\large\textsf{2 + 5d + 2d = -12}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}[/tex]
[tex]\large\textsf{5d + 2d = \underline{7d}}[/tex]
[tex]\large\textsf{2 = \bf 2}[/tex]
[tex]\large\textsf{-12 = -12}[/tex]
[tex]\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\text{SUBTRACT by 2 to BOTH SIDES}[/tex]
[tex]\large\textsf{7d + 2 - 2 = -12 - 2}[/tex]
[tex]\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}[/tex]
[tex]\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}[/tex]
[tex]\large\textsf{-12 - 2 = -14}[/tex]
[tex]\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}[/tex]
[tex]\large\textsf{7d = -14}[/tex]
[tex]\large\text{DIVIDE 7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}[/tex]
[tex]\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}[/tex]
[tex]\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow[/tex]
[tex]\mathsf{\dfrac{-14}{7}=\bf -2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Polina’s math scores are shown in the table. Polina’s Math Scores Math Scores 72 65 75 88 90 What is the mean absolute deviation of her math scores? 5.4 6.4 7.8 8.8
The mean absolute deviation of Polina's math scores is 8.8.
The answer is D) 8.8.
What is the mean absolute deviation?
The mean absolute deviation (MAD) is a measure of variability that quantifies the average difference between the observations in a dataset and the dataset's mean. It is calculated by finding the average of the absolute deviations of the data points from their mean.
To find the mean absolute deviation (MAD) of Polina's math scores, we first need to find the mean of the scores:
Mean = (72 + 65 + 75 + 88 + 90)/5
Mean = 78
Next, we find the absolute deviation of each score by finding the difference between each score and the mean, taking the absolute value of the difference, and then adding up the absolute differences:
|72 - 78| = 6
|65 - 78| = 13
|75 - 78| = 3
|88 - 78| = 10
|90 - 78| = 12
Sum of absolute deviations = 6 + 13 + 3 + 10 + 12
Sum of absolute deviations = 44
Finally, we find the MAD by dividing the sum of the absolute deviations by the number of scores:
MAD = 44/5
MAD = 8.8
Therefore, the mean absolute deviation of Polina's math scores is 8.8.
The answer is D) 8.8.
To learn more about the mean absolute deviation, visit:
https://brainly.com/question/447169
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Answer:
d ( 8.8)
Step-by-step explanation:
/edge 2023/ sorry if I'm wrong , have a good day!
identify the missing number 41, 48,33,40,62,55,54,?,
Answer:
Impossible
Step-by-step explanation:
How is that even possible
Answer:
47
Step-by-step explanation:
if my answer is right please mark branliest
What is the radius and diameter of the following circle?
Answer:
Radius is 7.5cm and the diameter is 15 cm( r*2)
Answer:
Radius = 7.5 cm
Diameter = 15cm
Step-by-step explanation:
Radius = 7.5 cm (because the slanting line is 7.5cm)
Diameter = Radius x 2
Diameter = 7.5 x 2
Diameter = 15 cm
Hope that helps!
Measure of the missing angle?
Answer:
x=31°
Step-by-step explanation:
2x-7+x+4 = 3x-3
90+3 = 3x
93 = 3x
x = 93/3
x = 31°
ABC measures 140° and is bisected
by BD. What is mDBC= ?
Answer:
angle abc =140°
and bd bisected by bd so, bd divede angle abc.
angle dbc= angle abc / 2
angle dbc=140°/2
angle dbc=70°
The measure of angle DBC from the given figure is 70°.
The measure of angle ABC is 140°.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
Angle bisector BD is bisecting angle ABC equally, which is
∠ABC=∠ABD+∠DBC
⇒ 140°=∠DBC+∠DBC
⇒ 2∠DBC=140°
⇒ ∠DBC=70°
Therefore, the measure of angle DBC from the given figure is 70°.
Learn more about the angle bisector here:
https://brainly.com/question/12896755.
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Name two angles that are adjacent to
A business school is conducting a study to investigate whether a students’ scores on a placement test can be used to predict students’ starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met.
Which of the following is a correct interpretation of the confidence interval?
a. There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point.
b. Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary.
c. We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360.
d. We are 98 percent confident that predicted starting salaries will be between $315,000 and $336,000.
e. We are 98 percent confident that the regression equation can be used to make accurate predictions for placement scores between 315 and 336.
Answer:
The answer is C
Step-by-step explanation:
I did it on college board
A pool can be filled by one pipe in 8 hours and by a second pipe in 3 hours. How long
will it take using both pipes to fill the pool?
It will take about hours to fill the pool using both pipes.
(Type an integer or decimal rounded to the nearest tenth.)
Answer:
x=2.4 hours or 2 hours and 24 minutes together
Step-by-step explanation:
How many solutions does -2 + 5p + 10 = 10 + 3p have?
Answer:
Only 1 solution
Step-by-step explanation:
-2 + 5p + 10 = 10 + 3p
Subtract 10 from both sides:
-2 + 5p + 10 -10 = 10 + 3p- 10
Simplify:
-2+5p=3p
Add 2 to both sides:
-2+5p+2=3p+2
Subtract 3p from both sides:
5p-3p=3p+2-3p
simplify:
2p=2
Divide both sides by 2:
2p/2=2/2
Simplify:
p=1
Pre calculus law of sines
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
Help as quick as possible
640(3) + 6.25(40) + 8.75(60)
2695
Hope this helps you!