Answer:
[tex]x=6+3\sqrt{2}[/tex] is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = [tex]12 -2x[/tex], height of the box = x
Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]
Differentiating the above equation and equating it to zero, we get –
d/dx [tex]((12-2x)^2 * x)[/tex]
d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]
d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]
[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]
On solving above equation, we get –
[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]
When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?
Answer:
Step-by-step explanation: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
Explanation:
We'll use this formula
S = (x/360)*A
where,
S = area of pie slice, aka sectorx = central angle in degreesA = area of full circleWe'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
------------
Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.
Simplify : (3-3y+y)
ANSWER ?
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
Solve for x.
2x + 4
4x - 88
x = [?]
explain how you can determine if a triangle is a right triangle. (make it look like a middle schooler wrote it :) )
Answer:
if one of the angles is 90°
Step-by-step explanation:
when it has an angle that is 90° that means that it is a right triangle
let me know if you need more b/c I wasn't sure whether to make it more advanced for middle school lol
Hope this helps! :)
Solve the problem and enter your solution for the variable below. Do not include units in your answer. The scale below shows the weight, in grams, of two identical blocks. How many grams does one of the blocks weigh?
Answer:
1) 100+10+10 = 120
2) 120 : 2 = 60
1 block — 60
During a bean flipping experiment Fiona modeled her data using the function
f(t) = 4.127 (1.468) and Karl modeled his data with the function
k(t) = 0.897 (1.992) where t represents the number of trials and f(t) represents
the number of beans.
At what number of trials would Fiona and Karl have the same number of beans?
A.3
B4
C.5
0.6
Answer:
C.5
Step-by-step explanation:
Fiona:
After t trials, she would have:
[tex]f(t) = 4.127(1.468)^t[/tex]
Karl:
After t trials, he would have:
[tex]k(t) = 0.897(1.992)^t[/tex]
At what number of trials would Fiona and Karl have the same number of beans?
This is t for which:
[tex]f(t) = k(t)[/tex]
So
[tex]4.127(1.468)^t = 0.897(1.992)^t[/tex]
[tex]0.897(1.992)^t = 4.127(1.468)^t[/tex]
[tex]\frac{(1.992)^t}{(1.468)^t} = \frac{4.127}{0.897}[/tex]
[tex](\frac{1.992}{1.468})^t = 4.6[/tex]
[tex](1.35695)^t = 4.6[/tex]
[tex]\log{(1.35695)^t} = \log{4.6}[/tex]
[tex]t\log{1.35695} = \log{4.6}[/tex]
[tex]t = \frac{\log{4.6}}{\log{1.35695}}[/tex]
[tex]t = 5[/tex]
So the correct answer is 5 trials, option C.
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
How do you find the area of a circle???
Divide 78 in the ratio 8 : 1 : 4
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24
The topic is about secant tangle angles
Answer:
41
Step-by-step explanation:
360-(104+104+111)=41
Can someone help me with this ?
Answer:
Step-by-step explanation:
the side opposite of K is JL.
A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.
What is the maximum number of days that Ariana can rent the car while staying within her budget?
Answer:
only 11 days
Step-by-step explanation:
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answer:
B. C. and D.
Step-by-step explanation:
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
Combine like terms.
y + 2 + 8(y + 7) =
Answer:
Step-by-step explanation:
y+2+8(y+7)
y+2+8y+56
9y+58
please someone help me with this
Answer:
260 cm³Step-by-step explanation:
Full surface area:
S = 3(6*10) + 2(1/2*8*10) = 260 cm³Answer:
Surface Area = Surface Area of triangle + SA of rectangle
Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10
Surface Area = 3 × 60 + 80
Surface Area = 180 + 80
Surface Area = 260 cm ³
[tex] \\ [/tex]
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The AJC found 60% favored voting on paper ballots they filled themselves (as opposed to voting with a computer). Find a confidence interval for the proportion of all registered voters that favor at 85% confidence level. a) (0.576, 0.624) b) (0.376, 0.424) c) (0.583, 0.617) d) (0.586, 0.614)
Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]
The margin of error (E) is:
[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
When rolling a pair of dice, what is the probability (as a percent) that each die will land on an even number?
Answer:
The probability of getting an even number at the first die is 1/2 (as the probability of even = the probability of odd = 1/2); 2. The probability of getting a total of 8 is 5/6^2, as there are 5 different favorable scenarios: (2,6), (6,2), (3,5), (5,3) and (4,4);
Step-by-step explanation:
Someone help me! I have a pic down below.
How many distinct "pieces" are in this graph?
Answer:
2
Step-by-step explanation:
the first point and where the line turns
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
Solve for x
|2x+1| + |3x-4| = 5
Answer:
0, 8/5
Step-by-step explanation:
You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
MATH PLEASE HELP ! PLEASE
Answer:
wait I am solving this
Step-by-step explanation:
mark it as the brainliest to get the answer
If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.
Answer:
He is 20 at oldest, or [tex]x\leq 20[/tex]
Step-by-step explanation:
The first step in finding a possible age is:
Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.
This means Joe is younger than or 20 years old.
(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy
Answer:
B. 17.50(x + y)
Step-by-step explanation:
So lets find the equation for monday:
It would be 17.50 times x
or:
17.50(x)
For Tuesday:
17.50 times y
17.50(y)
17.50(x) + 17.50 (y) = 17.50(x+y)
Or B.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K