Answer:
17
Step-by-step explanation:
Let F be the number of fruit per acre
F = (25 + x) × (41 - x)
F=1025 -25x + 41x -x²
F=-x²+16x+1025
The maximum yield is at the maximum of that expression, which is at
[tex]x=-\frac{b}{2a} =>-\frac{16}{-2\times1}[/tex]
x=8
So apparently she currently has far too many trees per acre. To get the maximum yield, she needs to reduce the number of trees per acre by 8.
So the number of trees per acre for maximum yield is 25-8 = 17.
there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class
Answer:
[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]
Step-by-step explanation:
Given:
In a class the ratio of boys to girls is 4:7.
The total number of students is between 24 and 40.
Solve for:
The total number of students
Solution:
The total number of student could be divided in portions with ratio 4:7
=> It must be the divisor of (4 + 7) or 11.
Otherwise, it is a number between 24 and 40.
There is only one divisor of 11, lying between 24 and 40. That is 33
=> The total number of students: 33
Hope this helps!
:)
how to find X using pythagorean theorem if the other two sides are 10 and 8
Answer:
x= 13
Step-by-step explanation:
10*10+8*8=x2
100+64=x2
164=x2l
If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6
Solve for x in the equation x squared minus 12 x + 59 = 0.
Answer:
4 11/12
Step-by-step explanation:
x2−4x−12<0
x2+10x−24<0
x−1=2y
x=−5912
Decimal Form:
x=−4.91¯6
Mixed Number Form:
x=−4 11/12
Answer:
There is no solution to this.
Step-by-step explanation:
Maybe check for a typo?
you would first need to calculate the discriminant, D= b^2-4 a c
D= (-12)^2 -4*1*59
Simplify
D=-92
Since D<0, the quadratic equation has no real solutions.
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation:
Can someone help me simplify these expressions
Step-by-step explanation:
4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.
7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9
Figure FGHJ was dilated by a scale factor of k centered at point H, as shown. What is the value of k?
Answer:
2
Step-by-step explanation:
just see the slope of FG
from F to G is 5 to the right and 1 goes up.
then, see the F'G' slope
its 10 to the right and 2 goes up
it TWICE
Olive's Pizza Kitchen has a new oven that is shaped like a rectangular prism. Inside, the oven is 5 feet wide and 5 feet deep so it can bake their super large pizzas. It is also 3 feet high. What is the oven's volume?
Answer:
The volume of the oven is 75 ft^3
Step-by-step explanation:
Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.
Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.
Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2
Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3
Can anyone explain to me what I did wrong here? Thanks!
Answer:
B
Step-by-step explanation:
I think you are right
Hope it helps
Which of the following is an equation of a line parallel to the equation y=4x+1?
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
What is -3 1/2 ÷ 4/9 = ???
Answer: -7.875
Step-by-step explanation:
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?
Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
A ball is being inflated at a rate that can be modeled by the function V(t) = 10t, where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r(V)=^3√3V/4pi.
Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?
Answer:
Correct option: second one
Step-by-step explanation:
To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).
[tex]V(t) = 10t[/tex]
[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]
Correct option: second one
Answer:BBBBBBBBB
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
Plzzzzzz answer fast I need help
Answer:2,3,4
Step-by-step explanation:
1/2(12k-6) i don't know what this answer is!!!
Answer:
6k-3 or 3(2k-1)
Step-by-step explanation:
First, you need to multiply 1/2 by both the numbers in the parentheses
1/2(12k-6)=
(1/2)(12k)+(1/2)(-6)Then, you need to simplify your answer
6k-3*If needed, you can simplify further by taking out a factor of 3
3(2k-1)Answer:
[tex]3(2k-1)[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(12k-6)[/tex]
Expand the bracket by multiplying by 1/2:
[tex]6k-3[/tex]
Simplify further by taking out a factor of 3:
[tex]3(2k-1)[/tex]
What is 0.00245 in standard form
Answer:
2.45*10^-3
Step-by-step explanation:
The number 0.00245 expressed in standard form is; 2.45 × 10-³.
While expressing numbers in standard form;
We must ensure that only one significant digit appears before the decimal point.
As such; we have 2.45 × 10-³.The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.
Read more:
https://brainly.com/question/11288844
PLEASE HELP ME WITH THIS! VERY IMPORTANT!!! SMART PEOPLE PLEASEEE
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
Use Venn diagram notations to describe the shading of
Answer:
A intersection B or A Π B
Step-by-step explanation:
The intersection of A and B is the set of all those elements which belong to both A and B.
In given Venn diagram describe the shading region is A intersection B or A ∩ B
What is Venn diagram?A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.
According to the question
The intersection of A and B is the set of all those elements which belong to both A and B.
Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B
To learn more about Venn diagram from here https://brainly.in/question/9613505
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solve tan x - cot x = -2cos 2x cosec 2x
Answer:
Step-by-step explanation:
tan x-cot x
[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]
Please help asap!!
Graph (x, y): x + 2y 6
Find the y-intercept of the following equation. Simplify your answer. 25 points will mark Brainly
y = 9x − 9
y-intercept =
Answer:
- 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 9x - 9 ← is in slope- intercept form
with y- intercept c = - 9
1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A. {0,7,9,17}
B. {0,1,4,8}
2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A.{0,7,9,17}
B.{0,1,4,8}
Answer:A
Step-by-step explanation: The range are all othe y values (the outputs) in chronological order
What is 8*4 equal to
Answer:
The answer would be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
8 times 4 = 32
20 Points + Satisfaction of helping someone for this answer
If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be
Answer:
So since the formula for perimeter is 2(w+h)
200 = 2(w+h)
that means that
100 = w+h
100 = 36+x
x=
64 UNITS
Step-by-step explanation:
I need assistance :D, Instructions: Using the image, find the distance between the points given on the graph.
Answer:
Step-by-step explanation:
You have to use the distance formula to find that distance. The formula is:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:
[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]
which simplifies to
[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is
[tex]d=\sqrt{17}[/tex] ≈ 4.123 units
you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box
==========================================================
Work Shown:
x = side length of cube = 6 inches
SA = surface area of cube
SA = 6x^2
SA = 6*6^2
SA = 6*36
SA = 216 square inches
------------
side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area
SA = 2*(L*W+L*H+W*H)
where L,W,H are the length, width and height respectively.
