Answer:
9
Step-by-step explanation:
when 2 negative signs meet or be multiplied the sign became "+" instead of "- -".
combine these radicals
[tex] - 12 \sqrt{12} - 2 \sqrt{3} [/tex]
A company wishes to manufacture a box with a volume of 20 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
Answer:
2.47 feet
Step-by-step explanation:
Let l, b, and h be the length, width, and height of the box.
As the length is twice the width, so l=2b ...(i)
The volume of the box is 20 cubic feet, so
lbh=20
(2b)bh=20 [by using (i)]
[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]
The material required= surface area, S, of the open box
S= lb+2bh+2lh
By using equation (i) and (ii), we have
[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]
[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]
Now, we have the surface area, S, as the function of width, b.
Differentiate S with respect to b then equate it to zero to get the extremum values, as
[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]
b=2.47 feet.
Now, by second differentiation, checking the nature of extremum value.
[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]
For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]
So, the width of the box, b=2.47, is the minima for the area, S(b).
Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.
Match each expression to the description shown. Answers may be used more than once.
In football A field goal counts three points and extra point after touchdowns Count as one point a kicker score 30 points on 16 kicks how many of the Kicks are field goals
Answer:
2
Step-by-step explanation:
3x30=90
15x3=45
90/45=2
Answer:
He makes 14 field goals and 7 extra point kicks
Step-by-step explanation:
f=#of field goals
e=extra kick points
f+e=21
3f+1e=49
subtract top from bottom
2f=28
f=14
Good luck!
I have no clue what to put in all of these boxes help me
i dont think it right i only could do the first one i dint know the last one cuz ...
2x+5+3x+6= combine like terms to simplify each expression
Answer:
5x +11
Step-by-step explanation:
Answer:
5x+11
Step-by-step explanation:
Please give brainliest
Find the value of x.
3x-10
25
X+15
I need help with this please
Answer:
b
Step-by-step explanation:
there's a property for Alternate Interior Angles
Answer:
Choice B
Step-by-step explanation:
The reason why < 3 is equal to < 6 is because they are alternate interior angles.
The first choice are supplementary angles they add up to 180 so they can't be equal.
The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.
The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.
Find the slope using points: (2,5) and (8,9)
Answer: The slope is 2/3:)
Step-by-step explanation: (2,5) and (8,9)
9-5 =4 /2=2
8-2 =6 /2= 3
Answer: 2/3 or 4/6.
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
(9 - 5) / (8-2)
= 4/6, which reduces to 2/3.
The slope of the line between the two given points is 4/6, or 2/3 in simplest terms.
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:
2.3
Step-by-step explanation:
Your beginning equation is 5 (t + 3) = -3.5. You start by dividing by 5. This leaves you with t + 3 = 0.7. If you add 3 you get 2.3
Pls tell me the answer
Answer:
1/4
Step-by-step explanation:
this months rainfall is 30% less than last months total of 3.5 inches.
PLZZZZ ANSWWERRR ASAPPP MARKING BRAINLIEST
Answer:
1.05
Step-by-step explanation:
3.5x.30=1.05
Answer:
1.05
Step-by-step explanation:
You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.
Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.
Answer:
No picture?
Step-by-step explanation:
i need a picture to anwser
What is the perimeter of a rectangle?
Answer:
Step-by-step explanation:
length = l ;width = w
Perimeter of rectangle = sum of all sides
= l + w + l +w
= 2l + 2w
= 2*(l +w )
On every three hamburgers that McDonalds makes, they use 9 pickles. How many pickles would they use on 100 burgers?
Answer:
300 pickles
Step-by-step explanation:
9/3=3, 3*100=300
Answer:
11.1 repeating
Step-by-step explain
You would figure out that they have 3 pickles on each burger so do 100/9 and 11.1 repeating.
Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1. Represent this situation mathematically. If you use variables, specify what each one means and how many hours per week can Lin work? explain or show reasoning
what is the solution to the equation below?
The answer is B. x=-7
Explanation:
I just substituted x for all of the answer choices until I found the right one.
Please mark Brainliest!
Enter the sum in simplest form. pls answer I give brainliest
11/12 -5/12 would equal 7/12. 7/12 can not be simplified, because seven and twelve can not be divided by the same number to get smaller numbers. 7/12 is the simpliest form
Answer:
1/2
the 1 goes on top and the 2 goes at the bottom
A line with a slope of 5 passes through the point (2, 5). What is its equation in
slope-intercept form?
Answer:
y = 5x - 5Step-by-step explanation:
slope-intercept form of equation: y = mx + b
where m is slope and b is y-intercept
If line y=ax+b passes through point (x₀,y₀) that means
that the equation y₀=ax₀+b is true
(2, 5) ⇒ x=2, y=5
m = 5
So:
5 = 5×2 + b
5 = 10 + b
b = -5
Therefore equation in slope-intercept form:
y = 5x + (-5)
y = 5x - 5
The equation of the line in slope-intercept form is y = 5x - 5.
Given that the slope of the line is 5 and it passes through the point (2, 5), we can use the point-slope form of a linear equation to find the equation of the line.
The point-slope form is given by:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope.
Substituting the values, we have:
y - 5 = 5(x - 2).
Now, let's simplify this equation:
y - 5 = 5x - 10.
Next, let's isolate y:
y = 5x - 10 + 5.
Simplifying further:
y = 5x - 5.
So, the equation of the line in slope-intercept form is y = 5x - 5.
Learn more about slope-intercept form here:
https://brainly.com/question/29146348
#SPJ2
In the diagram FEL ~ JOS
Which ratios are equivalent to tan F? Select all that apply. (Don’t just choose one)
9514 1404 393
Answer:
EL/EF and OS/OJ
Step-by-step explanation:
In the similar triangles, angle F and angle J have the same measure, so will have the same tangent. The tangent is the ratio of the opposite side to the adjacent one.
In ΔFEL, the desired ratio is ...
tan(F) = EL/EF . . . . . 2nd choice
In ΔJOS, the equivalent ratio is ...
tan(J) = tan(F) = OS/OJ . . . . . 7th choice
A students cost for last semester at her community college was 2100 she spent 231 of that on books what percent of last semesters college costs was spent on books
Work Shown:
Divide the two amounts, smaller over bigger, to get
231/2100 = 0.11
Then move the decimal point over two spots to the right to get to 11%
Note how 11% of 2100 = 0.11*2100 = 231.
Alex stayed up 20 a week How many hours did Alex stay up in 12 weeks?
Answer:
240 hours
Step-by-step explanation:
1 week = 20 hours
12 weeks = 20 × 12
= 240 hours
Solve for W: P=2L + 2W
A. W=P-L
B. W= 1/2P - L
C. W= 1/2 P + L
D. W= 2P - L
Answer:
B
Step-by-step explanation:
[tex]P=2L+2W[/tex]
[tex]P-2L=2W[/tex] (Subtract 2L from both sides of the equation)
[tex]2W=P-2L[/tex] (Symmetric Property of Equality)
[tex]W=\frac{P-2L}{2}[/tex] (Divide both sides of the equation by 2)
[tex]W=\frac{P}{2} -\frac{2L}{2}[/tex] ("Split" the fractions)
[tex]W=\frac{1}{2}P-L[/tex] (Simplify)
Hope this helps!
Matsuki is very very bored...
34 + 35 x (60/2) - (40/2) = ?
I believe the answer is 1064.
P.s. your cute matsuki <3
an observer 12 m away from the foot of tree observes that the angle of elevation is 30° find the height of tree
anyone send me photo plz
(I copied this from another answer, but hope it helps!)
(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?
60°
take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m
base is the distance that the man stands away from the pole
using tan rule will be opposite/adjacent
As an estimation we are told 5 miles is 8 km.
Convert 27.4 miles to km.
Answer:
≈ 44 kmStep-by-step explanation:
5 miles = 8 km
Then:
1 mile = 8/5 kmThen 27.4 miles is:
27.4*8/5 = 43.84 ≈ 44 kmSomeone help me with this question please! I'm having a hard time answering it!
Step-by-step explanation:
2 * 2 for potatoes = £4
3 * 3 for carrots = £9
90p * 3 for turnips = 270p = £2.70
total price = 9+4+2.70=15.70
change = 20 - 15.70 = £4.30
What is the solution and graph for the following inequality?
5x + 2 > -48
Answer:
x > -10
Step-by-step explanation:
First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.
What is the solution of....
[tex]\huge \mathscr{\blue {\underline {\red{\underline{Answer :-}}}}} [/tex]
[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]
[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]
[tex] \bf \implies \: 7x = 21 \times 4[/tex]
[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]
[tex] \bf \implies \: x = 3 \times 4[/tex]
[tex] \bf \implies \: x = 12[/tex]
ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ
[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]