Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = 2x – 5
2y – 4x =
–10
–5
5
10
Answer:
the answer is -10 (A)
Step-by-step explanation:
got it right on edg 2021
The value that would result in a system of equations with infinitely many solutions is -10
How to determine the value?The system of equations is given as:
y = 2x – 5
2y – 4x =
Complete the blank using h.
So, we have:
2y – 4x = h
Make y the subject
2y = 4x + h
Divide through by 2
y = 2x + h/2
By comparing y = 2x + h/2 and y = 2x – 5, we have:
h/2 = -5
Multiply by 2
h = -10
Hence, the value is -10
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The function y= x2 - 10x+ 31 has a
value of
Answer:
y = 6 at x = 5Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
The minimum/maximum value of a quadratic function is the vertex, which is at:
x = -b/2aFor the given function y = x² -10x + 31, the vertex is:
x = - (-10)/2*1 = 10/2 = 5The value of y at this point is:
y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6The point is
(5, 6)Use the LCD to rewrite
3/4 5/8 1/10
with the same denominator.
HELPPPPP MEEEE PLEASE
Answer: -6 i think
Step-by-step explanation:
Answer: -6
Step-by-step explanation: dont forget to mark me as brainlisit
12p+ 15 - 13 - 12p
And show me how you got the answer
Answer:
2
Step-by-step explanation:
According to me, you would just have to combine like terms and simplify them as much as possible.
12p + 15 - 13 - 12p
12p - 12p + 15 - 13
0 + 15 - 13
0 + 2
2
Hope this helps :D
anyone know the answer ?
Answer:
y ≥ -1x +2
Step-by-step explanation:
Find the area of this parallelogram
Answer:
260cm
Step-by-step explanation:
20x13=260
Help me please i really need it so i can relax this weekend
A boy walks at a speed of 4 km/hr. How much time does he take to walk a distance of 20 km?
Answer:
It takes 5 hours
Step-by-step explanation:
Time=distance/speed/rate
Time=20km/4km/hr
Time= 5hours
Solve by elimination:
2x + 4y = 34
x+4y = 27
A (7,-5)
B (6,6)
(7,5)
(5,7)
Answer:
(7,5)
Step-by-step explanation:
{2x + 4y = 34
{4y = 27 - x
2x + 27 - x = 34
x=7
4y = 27 - 7
y = 5 so the answer is ( 7,5)
300 students took a survey on a new recycling project. The percent of students who supported the recycling project was greater than 50% but less than 75%. How many students supported the recycling project?
Answer:76
Step-by-step explanation:
):!/
mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
A farm has 6 chickens, 4 ducks, 2 pigs and 4 cows. If an animal is chosen at random, find P(Cow | 2 legs)
The conditional probability P(Cow | 2 legs) is 0.
We have,
To find the conditional probability of selecting a cow given that the animal has 2 legs, we need to determine the number of 2-legged animals and the number of cows with 2 legs.
From the given information, we know that cows have 4 legs.
The probability of selecting a cow with 2 legs is 0, since cows do not have 2 legs.
Thus,
The conditional probability P(Cow | 2 legs) is 0.
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A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?
0.0058
0.0080
0.5120
0.5514
Answer:
0.0058
Step-by-step explanation:
Probability is defined as the ratio of the possible outcome to the total outcome. The number of single-digit numbers between 1 and 50 is 9 ( from 1 to 9). As such, the probability of generating a single digit integer is
P(single) = 9/50
The probability that the first 3 integers generated are single-digit numbers
= 9/50 * 9/50 * 9/50
= 0.18 * 0.18 * 0.18
= 0.005832
This may be approximated to 0.0058
Out of 28 cookies,
are chocolate chip. How many cookies are chocolate chip?
Plssss
Can someone please help me out or give me the answers please
Answer:
Example:
X = the first point, so say the point was 2, and the equation for y was, Y=2x +1, you would do 2x2=4 and then 4+1+5 so, for point y it would be, Y=5.
I don't know if that makes sense but yeah.
Determine whether or not the given value is a solution for the equation. Answer Yes or No
y/12=2;y=24
for the given equation, enter the value of M when
x=3/2
x+2m=7/2
Answer:
Hope this helpsss plz vote brainliest
Step-by-step explanation:
I need help please. I will give Brainiest for correct answer with explanation. If you a picture of the answer being that on the test I will give Brainiest and five stars.
Answer: it’s the one you already but the orange dot on
Step-by-step explanation:
Answer:
Its C.
Step-by-step explanation:
Using mental math you can do 1/4th= 25
and 25*4 is 100. so henceforth its C.
PLS HELP ASAP THIS IS DUE IN 10 MINUTES
Answer:A number decreased by 40
Step-by-step explanation: I really don't feel like explaining this lol...
is y=-2/7x a proportional
A line is drawn through the points $(-2, 6)$ and $(-4, -2)$. What is the $y$-coordinate of the point where this line intersects the $y$-axis?
Answer:
This line intersects the y-axis at [tex]y = 14[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(point where the line intersects the y-axis).
To find the slope, we take two points, and the slope is given by the change in y divided by the change in x.
In this question:
Points (-2,6) and (-4,-2). So
Change in y: -2 - 6 = -8
Change in x: -4 -(-2) = -4 + 2 = -2
Slope: [tex]m = \frac{-8}{-2} = 4[/tex]
So [tex]y = 4x + b[/tex]
Now, we take a point, and find b.
Point (-2,6), which means that when [tex]x = -2, y = 6[/tex]. So
[tex]y = 4x + b[/tex]
[tex]6 = 4(-2) + b[/tex]
[tex]b = 14[/tex]
So this line intersects the y-axis at [tex]y = 14[/tex]
Find x if:
- B is between A & C;
-AB = x + 5;
-BC = 2(x-3); and
-AB ~= BC
Answer:
The value of x = 11
Step-by-step explanation:
Given
B is between A and C.AB = x+5BC = 2(x - 3)[tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]Determining the value of x
As B is between A and C, so
[tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]
as
AB = x+5BC = 2(x - 3)so
x + 5 = 2(x-3)
x+5 = 2x-6
2x-x = 5+6
x = 11
Therefore, the value of x = 11
Select the correct answer. What is the solution to this equation?
324=4(3)2x
a. x=8
b. x=4
c. x=2
d. x = 1
Answer
C. x=2
Step-by-step explanation:
This is due to 2(2) = 4
then 3^4=81
81*4=324
The solution to equation [tex]324=4(3)^{2x}[/tex] is x = 2.
What is exponential function?An exponential function is a mathematical function of the following form:
[tex]f(x) = a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function.
Given exponential equation
[tex]324=4(3)^{2x}[/tex]
[tex]4(3)^{2x}=324[/tex]
[tex]3^{2x} =\frac{324}{4}[/tex]
[tex]3^{2x}=81[/tex]
[tex]3^{2x}=3^{4}[/tex]
When bases are equal, power should be equal.
2x = 4
x = 2
Hence, the solution to equation [tex]324=4(3)^{2x}[/tex] is x = 2.
Option C is correct.
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To gather information on customer satisfaction, a researcher randomly selects four store locations and interviews all the customers at those selected stores. This sampling technique is called:
Answer:
This sampling technique is called cluster
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.
A family of 4 is buying cell phones. Each phone costs x dollars if the family buys the super plan which costs $89 for
each family member. The total cost for each family member to have a phone with the super plan is $1,952
Part A
Which equation represents this situation?
O4(2 + 89) = 1,952
O (x + 89) + 4 = 1,952
4x + 89 = 1,952
O 4x(89) = 1,952
Part B
What is the cost, in dollars, of each phone?
Each phone costs $
Ya
Answer: See explanation
Step-by-step explanation:.
From the question, the equation to illustrate the above question will be:
4(x + 89) = 1952
We can then solve further to get the value of x which will be:
4x + 356 = 1952
4x = 1952 - 356
4x = 1596
x = 1596/4
x = 399
Each phone cost $399
The standard form of a linear equation is given by
Answer:
standard form of linear equation is ax^2+bx+c
Find the measure of angle M
Only real answers, please
See image
Answer:
136°Step-by-step explanation:
Since the trapezoid is isosceles, the angles J and M are supplementary and angles M and L are congruent, therefore:
∠J + ∠M = 180°∠J + ∠L = 180°7x + 2 + 25x - 14 = 180°32x = 192x = 192/32x = 6∠M = ∠L = 25*6 - 14° = 150° - 14° = 136°
Answer:
From the given figure we can see that :---
JK||ML, JK=ML and JM=KL
Therefore,
angle J+ angle L = 180°
[tex](7x + 2) + (25x - 14) = 180 \\ 32x - 12 = 180 \\ 32x = 192 \\ \boxed{x = 6}[/tex]
Now, we know that, angle M = angle L
Hence,
[tex]25x - 14 \\ =( 25 \times 6) - 14 \\ =150 - 14 \\ = \boxed{136}[/tex]
Angle M is 136°.Tyion has 4,000 dollars and wants to share it evenly with 19 friends. How much would they each receive?
Answer:
Each friend will receive 210.5 dollars.
Step-by-step explanation:
Total Amount Tyion has = 4,000 dollars
He wants to share evenly with 19 friends.
We need to find How much would amount each friend will receive.
We can found it by using formula:
Amount each friend received = Total Amount / Number of friends
Putting values in the formula and finding results:
Amount each friend received = 4000/19
Amount each friend received = 210.5 dollars
So, each friend will receive 210.5 dollars.
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
