The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-2.
Answer:
y=-2x-2
Step-by-step explanation:
since the line is perpendicular to y=1/2x - 2, the slop is -1/(1/2)=-2. so we have y=-2x+b. now plug in the point given: 2= -2(-2)+b, 2=4+b, b=-2, y=-2x-2
There are 60 students eating lunch in the cafeteria five-tenths of them brought lunches from home. How many students brought lunches from home?
Answer: 30 Hope this helps please mark brainliest! Thanks!
Step-by-step explanation:
Five tenths=5/10=50%=1/2
So basically it's 30 out of 60 students brought lunch from home.
So the answer is 30!
Find the inverse (pre-calc)
Answer:
f^(-1)(x) = e^(x/3)
Step-by-step explanation:
1. Replace 'f(x)' by 'y:' y = 3ln x
2. Interchange x and y: x = 3ln y => x/3 = ln y
3. Solve for y:
e^(x/3) = y
4. Replace this 'y' with 'f^(-1)(x)'
Then f^(-1)(x) = e^(x/3)
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
-2/3
Step-by-step explanation:
First, distribute, -4(2x - 1) is -8x + 4. Next, do the opposite of the sign for the variable, since -8x can be written as - 8x, do the opposite sign, which is addition. -5 + 8 and -8 + 8. Add on both sides. Now you have 3x + 6 = 4. Then subtract 6 by 4. You'll get -2. The denominator is the number that has the variable. So now the equation will be 3x/3 = -2/3. You can turn -2/3 into a decimal, but it-s fine like that.
The basic Sl unit for measuring mass is the liter. True False
Step-by-step explanation:
False
The SI unit of mass is Kilogram ( Kg)
i fractions what is 2 x 5/8 i need heeeeeeeeeeeeeelp
Answer:
1 . 25 or 5/4 as a fraction
Step-by-step explanation: Hope this helps mark me branliest plssss;)
Answer:
2*5/8 = 5/8 + 5/8
So the answer is 1 and 1/4 :)
need helps plsssssssssssssss
Answer:
64
Step-by-step explanation:
4^3 is just 4*4*4
so 4*4=16
and 16*4=64
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a wind up robot can travel 20m on a single wind. how many times will it need to wind to cover a distance of half a mile?
What is the area of this figure?
Given :-
A figure is given to us .To Find :-
The area of the figure .Solution :-
As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,
[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)
[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²
[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²
[tex]\longrightarrow[/tex] Area = 90cm²
Hence the area of the given figure is 90cm² .
18 ounces. of iced tea costs 2.99. How much will 30 ounces. cost
Answer:
About $4.98
Step-by-step explanation:
The cost of 30 ounces of iced tea will be $4.98.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,
⇒ $2.99 / 18
⇒ $0.166 per ounce
Then the cost of 30 will be calculated as,
⇒ $0.166 x 30
⇒ $4.98
The cost of 30 ounces of iced tea will be $4.98.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
Answer:
everything but the 4th are true
Step-by-step explanation:
fax
Answer:
B,C,E
Step-by-step explanation:
for each of the solutions of the equations find two consecutive integers between which the solution is located.
x²=3
Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.
The equation given is:
[tex]x^2 = 3[/tex]
The solution of the equation given is:
[tex]x = \sqrt{3}[/tex]
The squares of the integers numbers until the square root of 3 are:
[tex]1^2 = 1[/tex]
[tex]2^2 = 4[/tex]
Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.
A similar problem is given at https://brainly.com/question/3729492
You call two car rental companies to find out their rental prices Company A charges $75 plus $.30 per mile and Company B charges $80 plus $.25 per mile. If you are traveling 150 miles, which company gives you the better deal?
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answer:
97
Step-by-step explanation:
Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.
Answer:
200.52 in^2
Step-by-step explanation:
to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.
that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.
Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.
Hope this helped if it did please give me brainliest it helps me a lot. :)
Hope this helped!
Pls answer all 4 questions AND HURRY!!!!
Answer:
5pts
Step-by-step explanation:
Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.
Step-by-step explanation:
Statements / reasons:
Statement 1 >> RS ≅ UT Reason 1 >> Given
Statement 2 >> RT ≅ US Reason 2 >> Given
Statement 3 >> TS ≅ TS Reason 3 >> Common side
Statement 4 >> ΔRST≅ΔUTS Reason 4 >> SSS theorem
Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What is the down payment? i assume $3,256,00
Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What will the mortgage be?
Answer:
I think its gonna be 162.860
Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
Lisa said she made a better rate of pay because her rate was $14 an hour.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Answer:
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Step-by-step explanation:
Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.
Enjoy your day! :D
Solve the equation. Enter your answer in the box. V27
help with this question please!
Charlie is making chocolate cake for his birthday party. He found a recipe that needs 2 cups of cocoa powder for every 3 cups of sugu. Al of his friends
are coming, so he uses 6 cups of cocoa powder in his cake,
How many cups of sugar should Charlie uso?
Step-by-step explanation:
the mix follows the ratio 2/3 (cups of cocoa to sugar).
2 × x = 6 cups
x = 6/2 = 3
so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :
so, we need 3×3 = 9 cups of sugar.
For this exponential function, what is the output value (y), when the input value (x) is O? y = 5. 2x
Answer:
(0,. 5 )
Step-by-step explanation:
Substitute the input x = 0 into the function for output y
y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]
Is z = 11 a solution to the inequality below?
4z - 4 < 43
yes or no
Plug it in like any normal algebra
4(11) - 4 < 43
44 - 4 < 43
40 < 43
The statement is correct.
Z = 11 is a solution.
GOLDEN RULE FOR INEQUALITIES
WHENEVER SOLVING AN INEQUALITY TREAT IT LIKE REGULAR ALGEBRA, but whenever you MULTIPLY or DIVIDE both sides of an inequality by a NEGATIVE NUMBER, you must flip the inequality symbol.
Need helpppp pleaseeeee
Umm...
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At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?
Answer:
1/3
Step-by-step explanation:
Answer:
each person ate 1/3 of a sandwich
Step-by-step explanation:
xin hãy giúp ekmmm plllllllllllllllllllllllllllllllllllllll!
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[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}╭──━━━═══════━━━──╮[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}╰──━━━═══════━━━──╯[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Step-by-step explanation:
[tex] \\ {5400} \div 300000[/tex]
[tex] \\ = \frac{5400}{300000} [/tex]
[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]
[tex] \\ = \frac{9}{500} [/tex]
[tex] \\ = 0.018[/tex]
for a brainlist pls answer
Find the intercepts of the given equation. To earn full credit, show your work using a method explained in the Orientation.
Answer:
[tex]x=-2y+10[/tex]
Step-by-step explanation:
Step 1: Flip the equation.
Step 2: Add -5 to both sides.
Step 3: Divide both sides by (-1)/2.
Write the expression using exponents.
3 × 3 × 3 × 3
A. 33
B. 34
C. 43
D. 35
Answer:
B
Step-by-step explanation: