Answer: You should plant another 25 watermelons.
Step-by-step explanation:
The total number of watermelons can be calculated as:
W = (20 + x)*(30 - x)
x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.
We want to maximize this equation, so let's distribute the product.
W = 600 + 30*x + 20*x - x^2
W = 600 + 50*x - x^2
Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.
To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:
W'(x) = dW/dx = 50 - 2*x
W'(x) = 0 = 50 - 2*x
2*x = 50
x = 50/2 = 25.
Then the maximum output will be if you plant 25 more watermelon plants.
And this will be:
W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons
You should plant 5 extra watermelon plants to maximize production.
Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:
20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624
Therefore, you should plant 5 extra watermelon plants to maximize production.
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What is the value of 15/2+I?
Answer:
First, make the denominators
15/2+2/2
Then, add
17/2
If you want it in decimal points
8.5
Step-by-step explanation:
I hope I explained well, please give me brainliest
What is the reciprocal of 8 5/6
Answer:
6/53
Step-by-step explanation:
Write the missing number to make the fraction equivalent.
Answer:
the number is 30.
Step-by-step explanation:
Look at the denominators, 6 and 36.
6 x 6 = 36, so....
We multiply the 5 on top by 6 as well
5 x 6 = 30
So, the number is 30.
hope this helped!
Answer:
30/36
Step-by-step explanation:
Can you help me please and thank you
Answer:
I believe the answers in the blank should be 4
Step-by-step explanation:
Answer:
= (4 x 5) + (4 x 2)
Step-by-step explanation:
remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol
pls answer this yall
2a-1+8b-12b+7a-12
Work out the product of 3 1/3 and 2 1/6
Give your answer as a mixed number.
Answer:
as a mized number.
Step-by-step explanation:
The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
The fractions are,
⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]
Now,
Solve the product of fractions as;
⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]
⇒ [tex]3 \frac{1}{3}[/tex] × [tex]2 \frac{1}{6}[/tex]
⇒ 10/3 x 13/6
⇒ 65/9
⇒ [tex]7 \frac{2}{9}[/tex].
Thus, The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].
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Point Slope Form: y+2=-7(x-4)
Slope-intercept form: ???
Will reward 100 points
Answer:
[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]
Step-by-step explanation:
y + 2 = - 7 (x - 4)
y + 2 = - 7x + 28
y + 7x = 28 - 2
7x + y = 26
y = 26 - 7x ✔
The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.
Answer:
The system of equations is x + y = 12 and 2x + 1.5y = 20
The number of packages of the hamburger is 4
The number of packages of the hotdog is 8
Step-by-step explanation:
Assume that they bringing x packages of hamburger y packages of hotdog
∵ x represents the number of packages of hamburger
∵ y represents the number of packages of hotdog
∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns
∴ x + y = 12 ⇒ (1)
∵ The hamburger buns cost $2.00 per package
∵ The hot-dog buns cost $1.50 per package
∵ They spent $20 on the buns
∴ 2x + 1.5y = 20 ⇒ (2)
The system of equations is x + y = 12 and 2x + 1.5y = 20
Let us solve it to find x and y
→ Multiply equation (1) by -1.5 to make the coefficients of y equal in
values and different in signs to eliminate it
∵ -1.5(x) + -1.5(y) = -1.5(12)
∴ -1.5x - 1.5y = -18 ⇒ (3)
→ Add equations (2) and (3)
∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)
∴ 0.5x = 2
→ Divide both sides by 0.5 to find x
∴ x = 4
→ Substitute the value of x in equation (1) or (2) to find y
∵ 4 + y = 12
→ Subtract 4 from both sides
∴ 4 - 4 + y = 12 - 4
∴ y = 8
∴ The number of packages of the hamburger is 4
∴ The number of packages of the hotdog is 8
Plz help me with this
hi!
so you're trying to find the value of n, I assume.
(n +2) / 5 = -3
n + 2 = -3 * 5
n + 2 = -15
n = -17
hope this helped!
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
Solve each equation,
1) –150 =-267p+5)
2) –8\m + 10)=-128
Al cuadrado de un número se lo aumenta en 7 unidades y se obtiene el número 56.
¿Cuál es dicho número?
Answer:
Hola, me no Espanol.
Step-by-step explanation:
consider the function f(x) for which f(e)=7 and f'(e)=6 find h'(e) for the function h(x)=f(x)^x
h'(e)=
Answer:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
Step-by-step explanation:
Let [tex]h(x) = f(x)^{x}[/tex], the first derivative of the function is found by applying the concept of implicit differentiation:
[tex]h(x) = f(x)^{x}[/tex] (1)
[tex]\ln h(x) = x\cdot \ln f(x)[/tex]
[tex]\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}[/tex]
[tex]h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)][/tex] (2)
If we know that [tex]x = e[/tex], [tex]f(e) = 7[/tex] and [tex]f'(e) = 6[/tex], then [tex]h'(e)[/tex] is:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
I need help with this question.
Answer: W=V/lh
Step-by-step explanation:
You know that the formula to find the volume is length * width* height.
So l*w*h=V
divide lh on both sides, and you get
W=V/lh, The top right answer
Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:
A. .500
B. .159
C. .341
D. .841
Answer:
125 is 1 dev above, so it's 13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136What is the area of the right triangle shown below?
1.5
2.5
Answer:
Hello! The answer is 1.5
The area of the given right-angle triangle will be 1.5 unit².
What is a triangle?
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°.
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Given the tringle with,
Base =1.5 unit
Hypotaneous = 2.5 unit
By Pythagoras theorem
Perpendicular² = (Hypo² - Base²)
Perpendicular² = 2.5² - 1.5²
Perpendicular = 2 units.
Now the area of the right-angle triangle is
⇒ (1/2) × base × height.
Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²
Hence the area of the given triangle will be 1.5 unit².
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twice the square of a number
Answer:
2 * x^2
Step-by-step explanation:
in word form: two times the square of x
"a number" can be any variable; i used x
Answer:
x² × 2
Step-by-step explanation:
Notice vocabulary:
twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two → x²Put this information together.
"Twice the square of a number"
Since it says of a number, this number comes first → [tex]x[/tex]
"Twice the square of a number"
The square of a number means that the variable will be squared → [tex]x^2[/tex]
"Twice the square of a number"
Multiply the variable by a factor of two → [tex]x^2*2[/tex]
:Done
Find m angle KLJ
Answer choices:
22.5 degrees
75 degrees
15 degrees
73 degrees
Pz Answer for Brainliest
Answer:
thank you for free point and have a nice day
Answer:
Where is the question
Step-by-step explanation:
The slope of the line is ?
Answer:
slope= 4,
Step-by-step explanation:
y = 4x-6
2(x+7)=-4x+14
Solve this for 15 points.
Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick
Answer:
Option (4)
Step-by-step explanation:
Domain of a function is defined by the x-values or input values of the function.
Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.
From the graph attached,
Domain is restricted to 0 ≤ x ≤ 8.
Therefore, Range will be 0 ≤ y ≤ 4.
Option (4) will be the answer.
The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes. How large of a sample size would you need to estimate the mean number of minutes people spend answering and sending emails with an error of 1 minutes with 99% confidence? What would be the practical problem with attempting to find this confidence interval?
Answer:
sample size n would be 149305 large
Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval
Step-by-step explanation:
Given that;
standard deviation α = 150 min
confidence interval = 99%
since; p( -2.576 < z < 2.576) = 0.99
so z-value for 99% CI is 2.576
E = 1 minutes
Therefore
n = [(z × α) / E ]²
so we substitute
n = [(2.576 × 150) / 1 ]²
n = [ 386.4 ]²
n = 149304.96 ≈ 149305
Therefore sample size would be 149305 large
Value of n is too high, that would be the practical problem with attempting to find this confidence interval
If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)
A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3
Answer: C. m = -2; n = -2
have:
x² + 4x + c = (x + m)(x + n)
⇔ x² + 4x + c = x² + (m + n)x + mn
⇒ m + n = 4
mn = c
=> M=-2, n=-2 arent possible
Step-by-step explanation:
Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to
school. How far does Penny have to drive to school now?
о
Answer:
I think the answer is 2.07
Trina was playing with her new puppy last night. She began to
think about what she had read in a book about dogs. It said that
for every year a dog lives it actually is the same as 7 human
years. She looked at her 4-1/2 month-old puppy and wondered
how many human years old her puppy was?
Using as much math language and good reasoning as you can,
figure out how many human years old Trinajs puppy is?
Answeep-by-step explanation:
he was 76
jk i am stupid and this is nit the right i just wanted to know how t felt to help someone
If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?
Answer:
10 sorry if i'm wrong
Step-by-step explanation:
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.
Answer:
We can only take positive number , Because negative is always smaller than positive.
We can take ,
6 + 6 = 12 .
6 x 6 = 36.
Where both are largest numbers possible.
Thus, the answer is 36.
The required pair of values which gives a sum of 12 and the largest product is 12
For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.
11 and 1 = (11 × 1) = 11
10 and 2 = (10 × 2) 20
9 and 3 = (9 × 3) = 27
8 and 4 = (8 × 4) = 32
7 and 5 = (7 × 5) = 35
6 and 6 = (6 × 6) = 36
From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.
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A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
i think the answer is The 1st table represents a function
Lets explain how to solve the problem
- Function is a relation where each input has a single output
- The notation of the function is f(x) = y , where x is the input of the
function and y is the out put of the function
- The domain of the function is x and the range of the function is y
* Lets find which table represent a function
# First table:
x y
-3 -1
0 0
-2 -1
- In the first table
∵ -3 has only -1
∵ 0 has only 0
∵ -2 has only -1
∵ 8 has only 1
∵ Every x has a single y
∴ The table represents a function
∴ The 1st table represents a function
- In the second table
x y
-5 -5
0 0
-5 5
6 -6
∵ x = -5 has y = -5 and y = 5
∴ One x has two values of y
∴ The table doesn't represent a function
- In the third table
x y
-4 8
-2 2
-2 4
0 2
∵ x = -2 has y = 2 and y = 4
∴ One x has two values of y
∴ The table doesn't represent a function
- In the fourth table
x y
-4 2
3 5
-4 0
∵ x = -4 has y = 2 and y = 0
∴ One x has two values of y
∴ The table doesn't represent a function
Answer:
It is 12
Step-by-step explanation: