we get two possible solutions: L = 6 and W = 4. Therefore, the length of the land could be 6 meters.
If the rectangular plot has length L and width W, then we know that 2L + 2W = 20 since 20 meters of wire mesh were used. We also know that L × W = 24 since the area of the plot is 24 square meters. Solving these two equations simultaneously, We have the equations:
2L + 2W = 20
L × W = 24
From the first equation, we can solve for L in terms of W:
2L = 20 - 2W
L = 10 - W
Substituting this into the second equation, we get:
(10 - W) × W = 24
Expanding the brackets, we get: 10W - W² = 24
Rearranging and setting equal to zero, we get: W² - 10W + 24 = 0
We can solve this quadratic equation by factoring: (W - 6) × (W - 4) = 0
So the possible solutions for W are: W = 6 or W = 4
If W = 6, then L = 10 - W = 4, so the rectangular plot has dimensions 4 meters by 6 meters. If W = 4, then L = 10 - W = 6, so the rectangular plot has dimensions 6 meters by 4 meters. Therefore, the length of the land is 6 meters. because the length is assumed as the longer side of a shape or an object.
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Complete Question
To enclose a rectangular plot of 24 m², 20 m of wire mesh were used, what is the length of the land?
Help me with my last question…..
Answer:
C
Step-by-step explanation:
An irrational number cannot be shown as a simple fraction. If the number has decimals that are non-repeating (so not 7.85555555... or. 9.121212121...), cannot be shown as fractions (not 1.50000000... as it can be written as 3/2), and does not terminate (aka end). C is the answer you're looking for, as it cannot be shown as a fraction, the numbers after the decimal go on indefinitely, and the number's don't follow a noticeable repeatable pattern.
Answer:
Step-by-step explanation:
I will give brainliest and ratings if you get this correct
The first order derivative of the given function is f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex].
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
The given function is [tex]f(x)=\sqrt{x+\sqrt{x+\sqrt{x} } }[/tex].
The derivative using the chain and power rules is
f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex]
Therefore, the first order derivative is f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex].
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70°
160
What is the size in degrees of the missing angle
Answer:
40°
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°, from the picture we have a 90°, 160° and 70°.
so
take off from 360° the know angles and we will find the angle "?"
360 - 90 - 160 - 70 =
40° (your answer)
(b) At the beginning of the term, Caroline bought p notebooks and Bert bought 5 notebooks less than Caroline. During the term, Caroline gave 2 of her notebooks to her sister. Caroline then had twice as many notebooks as Bert. By writing a suitable equation, calculate the number of notebooks Caroline now has.
The number of Caroline's textbook is 8
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
Represent the Notebook bought by Bert as q
q = p-5
p-2= 2q
p = 2q +2
substitute 2q +2
q = 2q+2-5
2q-q = 3
q = 3
substitute 3 for q
3 = p-5
p = 5+3
p= 8
Therefore Caroline's number of notebook is 8
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help me, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The value of x in the proportion equals 50.
What is Proportion?Proportion is referred to as a part, share, or number considered in comparative relation to a whole. Proportion can be defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to show that two ratios or fractions are equal.
In proportion, if two sets of numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol ":" or "=".
16/50 = x/156.25
x = 156.25 x 16 / 50
x = 2500 / 50
x = 50
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The probability that someone files their taxes late is 0.351. If you are questioning 10 people, what is the probability
that 6 of them filed their taxes on time.
Answer:
0.209.
Step-by-step explanation:
The probability that someone files their taxes on time is 1 - 0.351 = 0.649.
To find the probability that 6 out of 10 people file their taxes on time, we can use the binomial distribution. The binomial formula for the probability of k success in n trials is given by:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
Where (n choose k) is the number of combinations of n items taken k at a time, and p is the probability of success in a single trial.
So, for the problem at hand:
P(6) = (10 choose 6) * 0.649^6 * (1 - 0.649)^(10 - 6) = 0.209
Therefore, the probability that 6 out of 10 people file their taxes on time is approximately 0.209.
A function is given.
f(x) = x3 − 7x2; x = 0, x = 10
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
On solving the provided question, we can say that the function is
[tex]f(z) = 3 - 4z^2[/tex] and f(-2) = -13 and f(0) = 3.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
the function is
[tex]f(z) = 3 - 4z^2[/tex]
[tex]f(-2) = 3 - 4(-2)^2[/tex]
= 3 - 4(4)
= 3 - 16
=-13
[tex]f(0) = 3 - 4(0)^2[/tex]
= 3 - 4(0)
= 3 - 0
= 3
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Suppose
−5x−15≤f(x)≤x2+3x+1
Use this to compute the following limit.
limx→−4f(x)
The limits lim x→ −4 f(x) is 5
The method is substitution method
How to determine the limitsFrom the question, we have the following parameters that can be used in our computation:
−5x − 15 ≤ f(x) ≤ x² + 3x + 1
The limits is given as
lim x→ −4 f(x)
By direct substitution, we have
−5(-4) − 15 ≤ f(x) ≤ (-4)² + 3(-4) + 1
Evaluate the exponents and the products
20 − 15 ≤ f(x) ≤ 16 - 12 + 1
Evaluate the difference
5 ≤ f(x) ≤ 5
This means that
f(x) = 5
So, we have
lim x→ −4 f(x) = 5
The method used is the direct substitution method
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what is the perimeter of the following shapes
(a) 1.4 cm 0.7 cm 0.7 cm
The perimeter of each shape is obtained adding all of their outer side lengths.
How to obtain the perimeter of the polygon?The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.
Hence, for each polygon, you must identify the outer side lengths, and then add them.
Missing InformationThe problem is incomplete, hence the standard procedure to find the polygon of a shape was presented.
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Every month, the bakery orders blueberries to use in their blueberry muffins. They had a stock of 1.38 kilograms of blueberries. Last month, they used 1.12 kilograms. This month, they need a total of 1.26 kilograms of blueberries.
How many kilograms of blueberries do they need to order?
0.12
0.26
1
1.26
Solve it down guys :)
Refer to the attached images.
**Should be arctan(tanx)=x on the last page**
Ionosphere (Aurora)
Mesosphere
90 km
Stratosphere
18 km
Troposphere
50 km
Earth
Ozone
Layer
Tropopause
TASK 1
How much more of the atmosphere is nitrogen than all other
gases combined? Explain how to find the answer.
TASK 2
in the Tronosphere was separated out from
Answer: TASK 1: The answer to how much more of the atmosphere is nitrogen than all other gases combined can be found by measuring the atmospheric composition. Nitrogen makes up the largest fraction of the Earth's atmosphere, at around 78%. Oxygen makes up around 21%, while all other gases make up the remaining 1%. So, nitrogen makes up around 77% more of the atmosphere than all other gases combined.
TASK 2: I'm sorry, but there seems to be a typo in your prompt. Can you please clarify what you meant by "in the Tronosphere was separated out from"?
Step-by-step explanation:
The angle y° and 49° are complementary,find the value y
Answer:
41°
Step-by-step explanation:
We know that,
y°+49°= 90°
y° = 90°-49°
y=41°
So, the value of y is 41°
How many rotational symmetries does this figure have?
The figure: F
The number of rotational symmetries that the figure has would be C. 1 at 360 degrees.
What is rotational symmetry ?The number of times the geometric figure is similar to the original figure after undergoing a full revolution is known as the order of rotational symmetry. The order of rotational symmetry is determined by how many times the rotated figure perfectly fits within the original figure.
When the Figure F is rotated, the only times that it can be rotated to be able to give the same figure of F, is once, and that once has to be a full revolution of 360 degrees.
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(1,-3),(4,-5),(2,2),(1,9) function or not function
Answer: Function
Step-by-step explanation:
PLS HELP <33
Which of the numbers listed below are solutions to the equation? Check all
that apply.
|x = -25
A. 25
B. 0
C. 5
D. -5
E.-25
F. None of these
Answer:
There is no value of x that makes the equation be true since an absolute value can never be negative.
No solution
Step-by-step explanation:
What is r in the following equation? 5(-4) - r +1 = -37 PLEASE HELPP ILL GIVE EXTRA CREDIT
Answer:
Step-by-step explanation:
5 times -4 is -20, so the equation becomes -20 - r + 1 = -37
-20 plus 1 equals -19, so the equation is now -19 - r = -37
Then you add 19 to both sides to isolate r
-r = -18
To get a positive r, divide or multiply both sides by -1, and you get r = 18
[tex]5(-4)-r+1=-37[/tex]
Simplify:
[tex]-20-r+1=-37[/tex]
Combine Like Terms:
[tex](-r)+(-20+1)=-37[/tex]
[tex]-r-19=-37[/tex]
Add 19 to both sides:
[tex]-r-19+19=-37+19[/tex]
[tex]-r=-18[/tex]
Divide both sides by -1:(To remove the negative from the variable r)
[tex]\dfrac{-r}{-1}=\dfrac{-18}{-1}[/tex]
[tex]\boxed{r=18}[/tex]
please help me with math i’ll give you brainlist!!
Answer: A) Dashed line with shading below
Step-by-step explanation:
because, as you can see the < sign is only less than not 'less than and equal to' so it will be dashed...
Answer:
A
Step-by-step explanation:
A dashed line is used if < or > is used to indicate that the boundary is not part of the solution. Then shade the appropriate region.
As in the question, y is less than 4/3x + 2 therefore, the region below the line is shaded.
Jason wants to dine at five different restaurants during a summer getaway. If three of nine available restaurants serve seafood, find the number of ways that at least one
of the selected restaurants will serve seafood given the following conditions.
(a) The order of selection is important.
(b) The order of selection is not important.
(a) If the order is important, then the number of ways that at least one of the selected restaurants will serve seafood is
answer
C(9, 5) - C(6, 5) + C(3, 1) = 126 - 6 + 3 = 123
explanation
The first term, C(9, 5), represents the number of ways to select 5 restaurants out of 9, regardless of type. The second term, C(6, 5), represents the number of ways to select 5 non-seafood restaurants out of 6. To find the number of ways that at least one of the selected restaurants will serve seafood, we subtract the number of ways to select 5 non-seafood restaurants and add the number of ways to select exactly 1 seafood restaurant, represented by C(3, 1).
The result, 123, represents the number of ways that at least one of the selected restaurants will serve seafood.
Find the values of x and y.
The value of x is 5, while the value of y is 24
How to solve for x and yIn order to get the value of x we would first have to find the value of y
The sum of angles on a straight line = 180
hence we would have:
5y + 2y + 12 = 180
7y = 180 - 12
7y = 168
y = 24 degrees
The angle that is made at R is 90 degrees
we would have
2y + 12 + 5x = 90
y = 24
2 * 24 + 12 + 5x = 90
60 + 5x = 90
5x = 90 - 60
5x = 30
x = 30 / 6
x = 5
Hence the value of x is 5
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Sketch an angle θ in standard position such that θ has the least possible positive measure and the point (−3,4) is on the terminal side of θ. Then find the exact values of the six trigonometric functions for θ.
To sketch the angle θ in standard position, you can start by plotting the point ( -3, 4 ) on the coordinate plane. Next, you draw a line from the origin ( 0, 0 ) to the point ( -3, 4 ), which represents the terminal side of the angle.
Now, you can use the six trigonometric functions to find the exact values for θ:
Cosine ( cos θ ) = x / r = -3 / 5
Sine ( sin θ ) = y / r = 4 / 5
Tangent ( tan θ ) = y / x = 4 / -3
Secant ( sec θ ) = 1 / cos θ = -5 / 3
Cosecant ( csc θ ) = 1 / sin θ = -5 / 4
Cotangent ( cot θ ) = 1 / tan θ = -3 / 4
Here, r represents the distance from the origin to the point ( -3, 4 ), which is 5 units. Note that these values are for the least positive measure of the angle, which is in the second quadrant.
Consider the two triangles. How can the triangles be proven similar by the SSS similarity theorem?
Answer:if their corresponding sides are proportional.
Step-by-step explanation:
Grant is thinking of two numbers. He says one of the numbers is twice the other number and the sum of the number is 42. What are the numbers?
On solving the provided question, we can say that by linear equation If The Grant is thinking of two numbers, they are 13 and 26.
What is a linear equation?A linear equatiοn is one that has the form y = mx+b in algebra. B is the slοpe, and m is the y-intercept. It's usual to refer tο the previous clause as a "linear equation with twο variables" because y and x are variables. The twο-variable linear equations knοwn as bivariate linear equations.
There are several instances οf linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred tο as being linear when an equation has the fοrm y = mx+b, where m stands for the slοpe and b for the y-intercept. When an equatiοn has the formula y = mx+b, with m denοting the slope and b the y-intercept, it is referred tο as being linear.
x be the first number and y be the secοnd number:
x = 2y
x + y = 39
Plug x = 2y in the other equation:
2y + y = 39
3y = 39
y = 13
x = 26
If The Grant is thinking of two numbers, they are 13 and 26. He claims that the total of the two numbers is 39 and that one of the numbers is double the other.
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Please help!!!!! Due tomorrow need to understand how to properly do this question :(
Answer:
f(x)=3x^2+2
Step-by-step explanation:
use pm
A and C are right angles. Mp=. Degrees
The required measure of angle p in triangle DBC is given as ∠p = 59.14°.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Consider triangle ABD
Apply the Pythagorean theorem to determine the measure of DB,
DB² = AD² + AB²
DB² = 6² + 5²
DB² = 61
DB = 7.81
Now,
Apply the trig ratio in triangle DCB,
cosp = 4/7.81
p = 59.14°
Thus, the required measure of angle p in triangle DBC is given as ∠p = 59.14°.
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How many quarts are in8.25 gallons?
Answer:
8.25 gallan=33 quart
Step-by-step explanation:
Give the domain of
s(x)=6/25-x^2
Answer: The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).
In this case, the function s(x) = 6/25 - x^2 has no restrictions on the input values for x, so the domain of the function is all real numbers.
Therefore, the domain of the function s(x) = 6/25 - x^2 is:
(-∞, ∞)
This means that the function can be evaluated for any real value of x.
Step-by-step explanation:
when x is equal to two the square root of another number ,s, plus the square root of two which one of the following formula correctly expressthis statement
Answer:
The correct formula that expresses the statement "when x is equal to the square root of another number, s, plus the square root of two" is:
x = √s + √2
This formula says that x is equal to the square root of s plus the square root of 2.
How to solve evaluate the limit
Step-by-step explanation:
for z -> 3 (3z - 2) -> (3×3 - 2) = 7
select the equivalent expression.
Answer:
Step-by-step explanation: Option A is correct.
