Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
[tex]A=(1500-2y)y\\\\A=1500y-2y^2[/tex] .....(3)
For largest area, differentiate above area equation wrt y.
[tex]\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375[/tex]
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
[tex]A =1500(375)-2(375)^2\\A=281250\ m^2[/tex]
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
If 1 and 2 are vertical angles, <2 and <3 are complementary angles,
and m23 = 56°, find m1
Answer:
hehdhrhth
Step-by-step explanation:
thrhrgefwy3ihrgej eff wr3 utf egtje creek it g
y
44
3
2-
-3
-2
2
3
4
-3+
-4
V
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
-1 is the slope of the line
Can someone help me so stressed
29 points
Thanks
Answer:a square
Step-by-step explanation:a square
Help me please I need assistance!
Answer:
84ft
Step-by-step explanation:
one side of the house is 14 units
since 1unit=6ft
Length of one side of her house= 14(6)=84ft
in a felony case the purpose of a grand jury is to
Answer:
In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution. In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution
Answer:
decide if the evidence warrants prosecution
Step-by-step explanation:
adding fractions with unlike denominators
Chad is making an orange smoothie. The recipe calls for three part frozen yogurt to five part orange juice. How many ounces of frozen yogurt and how many ounces of orange juice does he need to get a total of 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The recipe calls for three part frozen yogurt to five part orange juice.
Here, The ratio of frozen yogurt to orange juice = 3 : 5
Hence, To get a total of 16 ounces, we can formulate;
⇒ 3x + 5x = 16
⇒ 8x = 16
⇒ x = 2
Hence, The amount of ounces of frozen yogurt = 3x
= 3 × 2
= 6
And, The amount of ounces of orange juice = 5x
= 5 × 2
= 10
Thus, There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ2
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?
Answer:
No he does not have enough walnuts
Step-by-step explanation:
So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough
Answer:
No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.
Step-by-step explanation:
Which statements are true? Check all that apply.
O is greater than -2/3.
2/3 is equal to -2/3
-1 < -1/3
-2/3 > 1/3
-1/3 > - 2/3
14 The graph of a linear function has a y-intercept of 5 and passes through
the point (2,5). What is the slope of the graph of the function?
A. 0
B. 2/5
C. 2.
D. 5/2
Answer:
(-2,5) is vertex ; y-intercept (0,5) but the y-intercept is actually (0,-7).
Step-by-step explanation:
The vertex form of a quadratic is where the vertex is (h,k). Here h=-2 and k=5. So the vertex is (-2,5).
hope this helped and sorry if it didn't
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
3) There were 35 children and 10 adults at a barbeque.
a. What is the ratio of adults to
children at the barbeque?
b. What is the ratio of children to
total people at the barbeque?
c. Five more children came to the
barbeque. Now what is the ratio
of children to total people?
Answer:
3. a. 10:35= 2:7
b.35:45=7:9
c.40:50=4:5
The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
Evaluate the expression when x = 32 and y = 2.
x over 4y
Answer:
4
Step-by-step explanation:
[tex]\frac{32}{4x2}[/tex]
[tex]\frac{32}{8}[/tex]
[tex]\frac{16}{4}[/tex]
[tex]\frac{4}{1}[/tex]
4
5
What is the missing value in the following arithmetic sequence?
4
3
9.2
2
1
5.6
n
3.8
2
an
7.1
7.2
74
7.5
Answer:
C-7.4
Step-by-step explanation:
just took the test EDG2020
The nth term of an arithmetic sequence is a +(n-1)d. The missing term of the arithmetic sequence is 7.4
How to calculate the nth term of an arithmetic sequence?The nth term of an arithmetic sequence is expressed according to the formula as shown:
Tn = a + (n -1)d
where:
a is the first term = 2
d is the common difference = 3.8 -2 = 1.8
Required
Fourth term (n = 4)
Substitute
T4 = 2 + (4 -1)(1.8)
T4 = 2+3(1.8)
T4 = 7.4
Hence the missing term of the arithmetic sequence is 7.4
Learn more on AP here: https://brainly.com/question/24205483
#SPJ2
I came across the function y^4=x^3+x^2. What is this function called and what are its uses? Answer: This is a singular algebraic curve
No answer needed, take the points.
Answer:
urheiejdjdjdbbdbdndndndd
Answer:
x32fffffff
Step-by-step explanation:
x3f222222222
What is the 70th term of the sequence 5, 7, 9, 11
Answer:
5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 110 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 i think this should do just count them
d=1/2at^2+s, solve for a
Step-by-step explanation:
Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.
Find an equation for the line below
which graph represents the solution to this inequality
Answer:
C
Step-by-step explanation:
Answer
it is: C
Step-by-step explanation:
Is it possible to solve 1+1 in a algebraic form?
Answer:
i dont think so but 1+1=
baby 1 see theirs a daddy 1 and a mommy 1 so that =baby 1
Step-by-step explanation:
50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m
9514 1404 393
Answer:
d. 50 x 10^-2 m
Step-by-step explanation:
"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...
50 cm = 50×10^-2 m
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
Can someone please help me with this question
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
What is the domain of the graph?
Answer:
domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Hope this helps you!
I- JUST NEED THE ANSWERS TO THIS QUESTION
Answer:
Undefined
Step-by-step explanation:
