A dairy farmer plans to enclose a rectangular pasture (of length x and width y) adjacent to a river to provide enough grass for the herd, the farmer has 240m of fencing material. No fencing is required along the river. What should be the dimensions of the pasture that will provide the maximum area of pasture?
explain with steps. Tnx
Answer:
Step-by-step explanation:
The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.
In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80
Hope this helped :)
Can someone not just tell me the answer but how to do it pls!!!
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
4
Step-by-step explanation:
A.
subtract both slopes
B.
in word problems:
"rate of change" means slope
C.
1. horizontal line's slope is 0
2. number next to the x is the slope
y = 4x + 1 : slope is 4
3. "How much more" is word problems means subtract
4 - 0 = 4
D.
horizontal and vertical lines' slopes are 0
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
need some help with this question in the image
Answer:
1a. first 7×9=63 Then substracting 16 we get 47 and 2-47= -45
Answer:
a. - 77
b. 4
c. 5x-14
d. 14
Step-by-step explanation:
a. 2-(7*9)-16
=> 2-63-16
=>(-61) - 16
=> -77
b.64 / 4+(3*4)
=> 64 / 4+12
=> 64 / 16
=> 4
c. 3x+2(x-7)
=> 3x+2x - 14
=> 5x-14
d. 5 + 6^2/ 4
=> 5+ 36/4
=> 5+9
=> 14
Find the measure of the missing angle in this triangle
Answer:
c = 40degrees
Step-by-step explanation:
the sum of a triangle should be 180 degrees
you need to ad 80+60 which is 140 then minus 140 from 180 which is 40 so 40 degrees is the measurement of angle c
Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90?
Answer:
the answer is 93
Step-by-step explanation:
mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean
so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)
mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93
Find the area of the regular polygon. Give the answer to the nearest tenth.
Square with a radius of 13 m.
Answer:
338 m^2
Hope this helps!
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Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56
Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?
Answer:
Pu.s - pc = 0
Pu.s -pc ≠ 0
(Answer D)
Step-by-step explanation:
Kahn
The appropriate set of hypotheses for Alex's significance test is option D.
What is Hypothesis Testing?Hypothesis testing is the testing of the relationship between two variables for something we needed to test.
There is null hypothesis and alternate hypothesis.
Null hypothesis, H₀ is the statement we need to test.
Alternate hypothesis, H₁, is true if null hypothesis is false.
Here, given that,
Alex wonders if the same proportion of people are left-handed in the United States and Canada.
He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.
H₀ : there is no significant difference
H₁ : there is a significant difference
So the correct option is,
H₀ : p(U.S) - p(C) = 0
H₁ : p(U.S) - p(C) ≠ 0
Hence the correct option is D.
Learn more about Hypothesis here :
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Solve and check 5x-12=3x+24 (I’m so lost)
In this equation x=18
Work Shown:
5x-12=3x+24
Add 12 to both sides
5x-12+12=3x+24+12
Simplify
5x=3x+36
Subtract 3x from both sides
5x-3x=3x+36-3x
Simplify
2x=36
Divide both sides by two
2x/2 = 36/2
Simplify
x=18
Answer:
x=18
Step-by-step explanation:
1. Add 12 to both sides
5x-12 +12 = 3x+24 +12
2. Simplify
5x=3x+36
3. Subtract -3x from both sides
5x-3x=3x+36-3x
4. Simplify
2x=36
5. Divide both sides by same factor (2)
2x/2=36/2
6. Simplify
ANSWER: x=18
what value can replace the question mark to make the statment true? 3 2/8 + ? = 7 1/8
Hello!
Question:what value can replace the question mark to make the statement true? 3 2/8 + ? = 7 1/8
Answer:
[tex]3\frac{7}{8}[/tex] Option B.
Step-by-step explanation:
Rewriting our equation with parts separated
[tex]= 7+\frac{1}{8}-3-\frac{2}{8}[/tex]
Solving the whole number parts
[tex]7-3=4[/tex]
Solving the fraction parts
[tex]\frac{1}{8} -\frac{2}{8} =-\frac{1}{8}[/tex]
Combining the whole and fraction parts
[tex]4-\frac{1}{8} =3\frac{7}{8}[/tex]
Therefore, the answer is 3 and 7/8
Hope this helps!
If you have any questions please ask!
Hey there!
3 2/8 + x = 7 1/8
13/4 + x = 57/8
x + 13/4 = 57/8
SUBTRACT 13/4 to BOTH SIDES
x + 13/4 - 13/4 = 57/8 - 13/4
SIMPLIFY IT!
x = 27/8
x = 3 7/8
Therefore, your answer is: x = 3 7/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find cube root of 45324
the answer is
35.6540944227
A rectangular yard measures 12 feet by 10 feet. Find the cost of installing a fence around the yard if the fence costs
$3.10 per foot
Answer:
$372
Step-by-step explanation:
12 × 10 = 120
1 foot = $3.10
120 feet = ?
120 feet × $3.10
= $372
$372÷ 1 foot = $372
Can someone help me please
Both lines would be the same length.
4x-6 = 50
Add 6 to both sides:
4x = 56
Divide both sides by 4:
x = 14
4
Elijah is given a birthday cake. He is rather selfish and does not share this cake with anyone
else. On the first day he eats 2/5 of the cake and on the second day he eats 3/7 of the cake. What
fraction of the cake is now left?
Answer:
6/35
Step-by-step explanation:
so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.
they had to have the same number as their denominator.
so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)
then we have 14/35 and 15/35 so we can add them together to find out 29/35
then we minus it from 35/35 to find out how much is left
35/35 - 29/35 is 6/35 , which is our answer
The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?
A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees
Answer:
a 9 degrees
Step-by-step explanation:
so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9
Find the circumference and the area of a circle with radius 4 ft
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
The exponential function f(x) has a positive coefficient, a base of 0.6, and a horizontal asymptote at y = 3. If g(x) = 2(x - 3), which statement is true? A. The function f(x) represents exponential growth, and the function g(x) represents exponential decay. B. The function f(x) represents exponential decay, and the function g(x) represents exponential growth. C. The functions f(x) and g(x) both represent exponential growth. D. The functions f(x) and g(x) both represent exponential decay.
Answer:i don’t know the answer the answer but it’s f
Step-by-step explanation:
The base of a solid s is the region bounded by the circle x^2 y^2=16
The circle has a center at the origin (0, 0) and have a radius of 4 units.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is constant.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
The circle given by the equation:
x² + y² = 16
Hence the center is (0, 0) and the radius is 4 units.
The circle has a center at the origin (0, 0) and have a radius of 4 units.
Find out more on circle at: https://brainly.com/question/24375372
The center is (0, 0) and the radius is 4 units.
What is the circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The base of a solid is s is the region bounded by the circle is;
[tex]\rm x^2+ y^2=16[/tex]
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius.
On comparing with the standard equation of a circle;
h = 0 , k = 0 and r =4
Hence. the center is (0, 0) and the radius is 4 units.
Learn more on the circle at:
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How many degrees are in 25π18?
Answer:
[tex]\displaystyle 250°[/tex]
Explanation:
When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:
[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]
I am joyous to assist you at any time.
this is the second part of my homework
pls help me if u can :)
Answer:
no 4. radius is x
no 5. radius is a
no 6. radius is y
Step-by-step explanation:
have no idea about tangents
Solution 4 :-
⠀
Tangent = RYPoint of tangency = RRadius = XT⠀
Solution 5 :-
⠀
Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT⠀
Solution 6 :-
⠀
Radius = YSSecant = TUTangent = ST⠀
★ Important terms to keep in mind :-
⠀
✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.
⠀
✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.
⠀
✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.
⠀
✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.
⠀
✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.
⠀
✰ Secant : A line segment joining exactly two points of a circle is known as secant.
⠀
✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
HELP
Which decimal is greater than 1.89?
1.54
1.79
1.97
1.35
Answer:
1.97>1.89
Step-by-step explanation:
All of the other options are less than 1.89.
1.54 < 1.89
1.79 < 1.89
1.35 < 1.89
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Bob’s rectangular TV is 40 inches wide and 30 inches high. What is the length of the diagonal of Bob’s TV?
a.35 in.
b.45 in.
c.50 in.
d.70 in.
The length of the diagonal of Bob’s TV will be 50 in.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Bob’s rectangular TV is 40 inches wide and 30 inches high.
Now,
Since, TV is in rectangular shape.
Hence, It satisfy the Pythagoras theorem.
Let the length of the diagonal of Bob’s TV = x
So, We can formulate;
⇒ x² = 40² + 30²
⇒ x² = 1600 + 900
⇒ x² = 2,500
⇒ x = √ 2,500
⇒ x = 50 in
Thus, The length of the diagonal of Bob’s TV = 50 in.
Learn more about the Pythagoras theorem visit:
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¿Cuáles son los términos algebraicos que representan a una función cuadrática incompleta
con solamente término cuadrático?
Una ecuación cuadratica que solo tiene el termino cuadratico se escribe como:
y = a*x^2
¿Como escribir esta ecuación cuadratica?
La ecuación cuadratica general se escribe como:
y = a*x^2 + b*x + c
Donde el termino cuadratico es el primero, el segundo es el lineal y el tercero es el constante.
Entonces, si queremos una ecuación cuadratica que solo tenga el termino cuadratico, la ecuación sera:
y = a*x^2
Sí quieres aprender más sobre cuadraticas, puedes leer:
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each child has 9 crayons.if there are 38 children ,how many crayons are there in total?
Answer:
342
Step-by-step explanation:
9x38=342, so the answer is 342 crayons
Answer:
342 crayons
Step-by-step explanation:
Each child has 9 crayons. This means each one of the children has 9 crayons for himself or herself. So if there are 38 children,it means each one of the 38 children has 9 crayons.
The total number of crayons is therefore gotten by multiplyiong the number of crayons of each child(9) by the total number of children(38).
∴38×9=342.
How do you find the area of a triangle when given only the lengths of three sides?
Answer:
Use Heron's formula; see below.
Step-by-step explanation:
Use Heron's formula.
Let the sides of the triangle have lengths a, b, and c.
[tex] s = \dfrac{a + b + c}{2} [/tex]
[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
Example:
A triangle has side lengths 3, 4, and 5 units.
Find the area of the triangle.
[tex] s = \dfrac{a + b + c}{2} [/tex]
[tex] s = \dfrac{3 + 4 + 5}{2} [/tex]
[tex] s = 6 [/tex]
[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex] area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)} [/tex]
[tex] area = \sqrt{6(3)(2)(1)} [/tex]
[tex] area = \sqrt{36} [/tex]
[tex] area = 6 [/tex]
Here are the endpoints of the segments BC, FG, and JK.
B, −67
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]
[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]
[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]
Helppp Please!!!!!!!!
Answer:
Emma began her journey at 7:30 a.m., at 8 a.m. she was 20 miles away, she stayed for an hour and a half, she left at 10 a.m., she was 7.5 miles from her house at 11:45, she traveled 80 miles total
Step-by-step explanation:
please let me know what you don't understand here. because this is really simple.
the distance from home is increasing and then decreasing when she is traveling.
the rate of distance per time would give us even the speed with which she was traveling.
when there is no change in the distance over time, that means she was "stationary" - either at home or at her grandmother's place.
so, let's answer the questions :
(a)
movement started at 7:30am (that is when she began her journey).
(b)
20 miles
you pick 8am on the time scale and move straight up until you hit the curve. and then you check what value is at that point all the way to the left on the distance scale : 20.
(c)
from 8:30am to 10am = 1.5 hours.
we see this by the interval on the time scale for which the curve is totally flat (a horizontal line) = no change in distance from home during that time.
(d)
at 10am
that is when the curve indicates the begin of a change in the distance to home.
(e)
7.5 miles.
this is the point marked by a star on the graph.
down on the time scale this point shows 11:45am, and on the left side in the distance scale it shows 7.5 miles (the middle between 5 and 10 miles).
so, at that time she was still 7.5 miles away from home.
(f)
she traveled 40 miles to her grandmother (the left part of the curve from 0 distance until it turns flat), and then 40 miles back home (the right part of the curve from 40 distance all the way down to 0).
so, in total she traveled
40 + 40 = 80 miles
Which inequality can be used to find how many $1.25 snack packs can be purchased for $10.00?
Answer:
1.25s [tex]\leq[/tex] 10.00
Step-by-step explanation:
Let's snack = s
Note:
[tex]\leq[/tex] ⇒ Less than or equal to
[tex]\geq[/tex] ⇒ Greater than or equal to
< ⇒ Less than
> ⇒ Greater than
Since we are trying to find how many $1.25 snack packs can be purchased for $10.00.. Thus, that less than or equal to $10.00 which also means we use [tex]\leq[/tex].
Thus the equation is 1.25s [tex]\leq[/tex] 10.00
`lenvy`
Answer:
8 snacks can be purchased
Step-by-step explanation:
10.00/1.25=8