Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?
Answer:
I think it's 15 Quarters.
Step-by-step explanation:
The required number of dimes and quarter Whitney has is 11 and 9 respectively.
Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11
Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.
Learn more about simultaneous equations here:
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Which of the following is 3x²/12x simplified?
3x/12
x/4
x/3
x²/4x
Answer:
I think it is the last one
Step-by-step explanation:
You have $9.30 plus 6 percent of tax what is the total costs
Answer:
$ 9.86
Step-by-step explanation:
Tax = 6% of 9.30
= 0.06 * 9.30
= $ 0.558
Total costs = 9.30 + 0.558
= 9.858
= $ 9.86
What is the following product?
Answer:
10.25 which is equal to letter c
Step-by-step explanation:
I used a calculator and figured out which equals it
Question 22 of 25
Add.
4x -5x+3
2x* +7X-8
OA. 6x- 2x+5
OB. 6x + 2x-5
OC. 6x+ 12x-5
D. 6x 2x+11
Answer
B
Step-by-step explanation:
Is the answer !
Answer:
The answer is B
Step-by-step explanation:
YEAH its is, And god is GIOD
If f(x) = -6x + 1, what is f(1/2x-1) equal to
By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
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1-27
What is the simplified version of Square root of -27
Answer:
3√3
Step-by-step explanation:
Why is the boundary line for aninequality involving ng dashed rather than solid?
Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answer:
Solution in photo
Step-by-step explanation:
Determine what type of sequence this is:
6.5, 5.3.5, 2....
Arithmetic or
Geometric
What is the common difference or common ratio of this sequence?
6.5, 5.3.5. 2....
Answer:
6.5=30, 5.3.5.2=150
It is a geometric series.
30, 150,......
a1=30
common ratio
r= 150/30= 5
an=ar^(n-1)
CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
x = 5
Step-by-step explanation:
I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937
y = 2x + 1
y = -2x + 1
y = -2x - 0.5
y = 2x - 0.5
have you seen how he answers questions? doesn't deserve to have people answer his
Step-by-step explanation:
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive.
Answer:NOTEBOOK= 4
THUMB DRIVE=20
Step-by-step explanation:
The cost of thumbdrive and notebook purchased are $20 and $4 respectively
Let :
Cost of Notebooks = n
Cost of Thumb drive = t
Troy :
4n + 5t = 116 - - - - (1)Lisa :
2n + 3t = 68 - - - - (2)Solving by elimination :
Multiply (1) by 2 and (2) by 4
8n + 10t = 232 - - - (3)8n + 12t = 272 - - - (4)Subtract (3) and (4)
-2t = - 40t = 40 ÷ 2 = 20From (1)
4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4Hence, cost of notebook is $4 and cost of thumbdrive is $20
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2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1
Answer:c
Step-by-step explanation:
Number of
Accidents
Number of
People
6
1
3
1
Answer:
there would be 11 accidents of people
Step-by-step explanation:
6+3+1+1= 11
or
6+3+2= 11
or
6+5 =11
Does this graph show a function? Explain how you know.
Answer:
A
Step-by-step explanation:
It may look like it failed but it didn't. Nun of the points duplicate
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)
The older sibling will catch the younger sibling after ___ second(s) and running___feet.
Answer:
8 seconds after running 88 feet
Step-by-step explanation: this is what it told me the answer was
Answer:
The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.
Step-by-step explanation:
Older Sibling: 11ft 22ft 33ft 44ft 55ft 66ft 77ft 88ft
Younger Sibling: 32ft 39ft 46ft 53ft 60ft 67ft 74ft 81ft
The younger sibling started at 32ft because of the headstart. Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.
I hope you can understand. :)
what is the degree of x^6+4x-3
Answer:
1.2599
Step-by-step explanation:
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
Item 1
One February day, the low temperature in St. Paul, MN was -17°F. Over a period of three hours, the temperature rose 5 °F per hour. After three hours, what was the temperature?
°F
Need help for dis question what is it ??
Answer:
2 * 16 - 4*(3 + 5) = 32 - 32 = 0
Step-by-step explanation:
ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC
Answer: see below proof
Step-by-step explanation:
Imagine a diagonal line AC
If AB = DC and AB // DC then angle BAC =
Angle ACD Alternate Interior angles theorem.
Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.
If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.
If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.
If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.
(2x+37-4)-(5x + 2)
This is super URGENT please helppp
Answer:
-3x+31
Step-by-step explanation:
Ok so first let's get the negative out of the parentheses
(2x+37-4)-(5x+2) -> 2x+37-4-5x-2
Now this will make it easier to simplify the equation
2x-5x+37-4-2
All you have to do from there is simplify
-3x+31
Jared is rounding some numbers to the nearest tenth. Select the number that will have a 3 in the tenths place after rounding. (2 points)
3.03
4.28
5.39
6.43
Answer: B) 4.28
The 2 is in the tenths place, and 8 is to the right of it. The 8 is five or larger, so that means we bump the 2 up to 3. We erase the 8. So we go from 4.28 to 4.3; we have a 3 in the tenths place as instructed.
We can think of 4.3 as 4.30
Note how 4.28 is closer to 4.30, than it is to 4.20
Side notes:
Choice A rounds to 3.0 or just 3Choice C rounds to 5.4Choice D rounds to 6.4What is the solution to this equation?
X-8 = 15
Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23
Answer:
D.) X=23
Step-by-step explanation:
cause you add 8 to each side then simplify and you get 23
The number is halfway between 1/5 and 14/15
Answer:
17/30
Explanation:
m a t h
PS:
Can I have brainliest?
ANSWER:
4
___
15
STEP BY STEP:
Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
Answer:
$360
Step-by-step explanation:
I = Prt
I = 4000 * 3 * 3%
I = 12000 * 3% (Convert 9000 and 3% into fractions.)
I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)
I = 120/1 * 3/1 (Disregard the over 1 portion.)
I = 120 * 3 (Multiply 120 by 3 to get 360.)
I = $360
Can Someone Please Help Me!!!
Review: Key Concepts
.
The equation of a linear function in slope-intercept form is written as
y = mx + b, where mand b are real numbers, m is the
and b is the
y-intercept of the line
.
Changing the value of b moves the graph
or
Changing the value of m affects the
and whether the line
slopes up or down from left to right.
Answer:
m=slope
up or down
steepness
Step-by-step explanation:
Not really much to explain here you could've found this stuff on khan academy or math is fun to be honest lol
Answer:m =Slope
up or down
steepness
Step-by-step explanation: