Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Enter the coordinates of the solution of these two linear equations.
Answer:
(-4,2) are solution coordinates
This is the point in which these two lines intersect
Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
5/6 + 4/6
a) 1/6
b) 9/12
c)1 3/6
d) 1 2/6
Answer:
this is the answer Hope's it helps
A baby whale gains about 250 pounds a day. It was 250 pounds at birth. Find an equation to find the number of days it will take for a baby to weigh its first ton.
Answer:
8 days
Step-by-step explanation:
1 ton=2,000 pounds and If you divide 2,000÷250=8 days. It will talk 8 days for the baby whale to weigh his first ton.
1. How much salt and baking powder together is needed to make 36 cup cakes?
Answer:
too much salt will not bring taste to the cup cakes
Step-by-step explanation:
-3(_x + 4) = 9x – 12 Using the distributive property, what number would go in the blank in order for the given statement to be correct?
Answer:
-3(-3x + 4) = 9x - 12
Step-by-step explanation:
-3( Ax + 4) = 9x - 12
-3Ax -12 = 9x - 12
Equating coefficients of x terms on both sides :
-3A = 9
A = -3
Therefore, -3(-3x + 4) = 9x - 12
convert 1 2/5 x 2/3 into a mixed number
HELP!!!!
5^m x (5^-7)^m = 5^12
Answer:
not sure lol but, like it up
Step-by-step explanation:
If x=-4 what is the value of the following expression?
2x^2 +3x -2
18
12
-22
-46
Answer:
2x^2 +3x -2
18
12
-22
-46
Step-by-step explanation:
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
1. 40°
2. 50°
3. 45°
4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half
b. 70°
c. angle TPQ = angle OPQ ÷2
angle TPQ = 140÷2= 70°
HELP QUICK!!!!!!!! GIVING BRAINLIEST!!
3x. =180-90
3x. =90
x. =30
(-6, 10), (-6,1),(1, 10) What are the coordinates of the fourth vertex of the rectangle? Enter your answer by filling in the boxes.
Answer:
(1,1)
Step-by-step explanation:
Happy To Help!f(x)=10x-15 g(x)=2x-3 Find: (f/g)(x)
The function operation (f/g)(x) in the functions f(x) = 10x-15 and g(x) =2x-3 is 5.
What is the function operation (f/g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given that;
f( x ) = 10x - 15g( x ) = 2x - 3( f / g )( x ) = ?First, we replace the function designators in f/g with the actual functions.
(f / g )(x) = f(x) / g(x)
(f / g )(x) = ( 10x - 15 ) / ( 2x - 3 )
Now, factor out 5 from 10x and -15
(f / g )(x) = 5( 2x - 3 ) / ( 2x - 3 )
Cancel the common factor of 2x - 3
(f / g )(x) = 5( 1 ) / ( 1 )
(f / g )(x) = 5 / 1
(f / g )(x) = 5
Therefore, the function operation (f/g)(x) equals 5.
Learn more about functions here: brainly.com/question/2541698
#SPJ1
The sum of three numbers is 910. One of the numbers, x, is 60% greater than the sum of the other two numbers. What is the value of x?
Answer:
I don't know I'm sorry I tried to found answers but I couldn't
Find the value of x . Round your answer to the nearest tenth.
the answer is 26
brainliest?
Answer:
The answer is 100 :D
Step-by-step explanation:
1: You would start by finding the sum of the two angles given (72 and 8) which is 80
2: You would then subtract the sum from 180
3: 180-80 = 100
Hope this helps :D
ASAP pls wkkwmwkwnwnwwnwn
Answer: Her highest score is on turn two because she used a negative number over a positive and a positive is more than a negative.
Step-by-step explanation:
10>-16
can someone help me i need help pls pls pls pls
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex] \frac{2}{3} \times \frac{7}{4} \\ = \frac{2 \times 7}{3 \times 4} \\ = \frac{14}{12} \\ = \frac{7}{6} [/tex]
You'll get the answer as 7/6 which is equal to 1.16. 2/3 is equal to 0.66.
[tex]•°• \frac{7}{6} > \frac{2}{3} [/tex]
✐ So, the answer is ⇻ greater than 2/3.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.
Answer:
The answer is "[tex]0.45 \pm 0.18204[/tex]"
Step-by-step explanation:
For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]
Sample percentage measurements estimated stdev
[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]
Calculating the critical z for a=0.1, two-tailed = 1.64
Calculating the confidence interval:
[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]
Am I correct? K
Thanks for helping!
PLEASEEE CHECK ME WORK!
Answer:
yes you are correct on all of them good job
Suppose the population of the world now is 4 billion and its doubling period is
35 years, what will be the population of the world after 350 years, 700 years, 1050 years?
If the surface area of the earth is 1,860,000 billion square feet, how much space would
each person get after 1050 years?
Answer:
4096b after 350 years, 4194304b after 700 years, and 4294967296b after 1050 years. 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.
4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.
What is surface area?The surface area of a solid object exists as a measure of the total area that the surface of the object inhabits.
The surface area of a figure (in square units) exists the numeral of unit squares it brings to cover the entire surface without gaps or overlaps. If a three-dimensional figure includes flat sides, the sides exist named faces. The surface area exists as the total of the areas of the faces.
4096b after 350 years, 4194304b after 700 years, 4294967296b after 1050 years, 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.
To learn more about surface refer to:
https://brainly.com/question/1297098
#SPJ2
Which three types of transformations result in congruent shapes?
Answer:
There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent
what is 300 to the nearest ten
Answer:
300⇒ nearest ten
≈ 300 (rounded to the nearest ten)
Explanation:
We round the number up to the nearest ten if the last digit in the number is 1, 2, 3, 4, 5, 6, 7, 8, or 9. If the last digit is 0, then we do not have to do any rounding, because it is already to the ten. Therefore 300 rounded to the nearest ten is 300.
What is the distance from the origin to point A graphed on the complex plane below?
Answer:
B
Step-by-step explanation:
Edge
solve for x:
x + 2 1/3 = 3 1/5
x-2 2/3 = 5/6
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year
Answer:
mu = the population true mean time spent by teenagers playing computer game this year
Step-by-step explanation:
Dear student, there is no much information given to answer this question but we will try as much as possible to explain (what is the parameter) of the true mean.
In 1990s;
μ = 10.2 hours/week
From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.
In this situation, the population parameter is the population true mean mu = the population true mean.
Each week the manager of a coffee shop orders three more cases of soy milk than almond milk. Let x represent the cases of almond milk and lery
represent the cases of soy milk
Create a table to represent this relationship.
Move each necessary number to its appropriate row to complete the table.
1
5
4
7
12
Answer:
1 4
2 5
4 7
7 10
9 12
Step-by-step explanation:
find the exact value of cos A in simplest radical form
Answer:
cosA = 1/2
Step-by-step explanation:
cos = adj/hyp
cosA = 5 /10
cosA = 1/2
Identify a segment parallel to segment ZY
Answer:
UT
Step-by-step explanation:
Opposite sides of a rectangle are parallel
Pls help this is with 26 pt and brainlest
Answer:
a) 1 only
Step-by-step explanation:
this is what I believe it is but 1 is for sure an answer
g(x) = 3x^2 + 10x-8
Use the drop-down menus to factor the expression and find the zeros of g(x).
Answer:
g(x) = (3x - 2)(x + 4)
x = {-4, 2/3}
Step-by-step explanation:
g(x) = 3x^2 + 10x - 8
Factor
g(x) = (3x - 2)(x + 4)
Zero I
3x - 2= 0
3x = 2
x = 2/3
Zero II
x + 4 = 0
x = -4
x = {-4, 2/3}
Answer:
The answer is, [tex]x = {-4, 2/3}[/tex]
Explanation:
Definition of factor:A factor is a number that divides another number by itself without leaving a residue. To put it another way, if multiplying two whole numbers produces a product, the numbers we're multiplying are factors of the product since they're divisible by it.
Factors can be found using two methods: multiplication and division. In addition, divisibility rules can be applied.
Step-by-step:
[tex]g(x) = 3x^2 + 10x - 8[/tex]
Factor:
[tex]g(x) = (3x - 2)(x + 4)[/tex]
Step 1:
Zero 1.
[tex]3x - 2= 03x = 2x = 2/3[/tex]
Step 2:
Zero 2.
[tex]x + 4 = 0x = -4[/tex]
[tex]x = {-4, 2/3}[/tex]
Hence, the g(x) zeros are [tex]x = {-4, 2/3}[/tex]
Learn more about factor here-
https://brainly.com/question/25829061
#SPJ2