Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all. Which equation can be use to find m, the number of marbles still needed to fill the jar?
Answer:
1000-273=M
Step-by-step explanation:
Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped
The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.
Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273
Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.
Learn more about models here:
brainly.com/question/22591166
#SPJ5
Worth 15 points please help.
There are 100 prize tickets in a bowl, number 1 to 100. What is the probability that an even numbered prize ticket will be chosen at random, not replaced, then an odd numbered prize will be chosen? Does this represent an independent or dependent event? Explain.
Answer:
Step-by-step explanation:
no. even number = 50
no. odd number = 50
P (even ) = 50/ 100= 1/2
P(odd after take 1 even) = 50/99
Dependent event cause the first P affects the second P ( affect the total number of selection)
1 ½ miles in ¾ hour
find the unit rate
Answer:
Unit rate = 2 mph
Step-by-step explanation:
Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles
Time taken = ¾ hours
[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]
can you please help me fill this out thanks
Answer: [tex]\sqrt{2}[/tex]
Step-by-step explanation:
In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]
find the volume of the cylinder
Answer: 502.4 cubed
Step-by-step explanation:
3.14x10x(4 squared)=160x3.14
502.4 (cubed)
What is the equation of a line with a slope of 6 and y intercept of -2
Answer:
6x-y=2 is the equation
Step-by-step explanation:
The formula is y= mx+c where m= slope and c = y-intercept
so replacing their values,
y = 6x -2
y+2= 6x
6x-y = 2 is the required equation.
Answer:
y=6x-2
Step-by-step explanation:
Answer: to write an equation it has to be y=mx+b
The slope is 6, so you substitute the 6 in for the m. M is always the slope.
You also keep the x there.
The y intercept, also know as b, is -2 so you substitute that in for b.
Then you get the equation on the line.
y=6x-2!
Hope this helps. :)
Emter 2/2/8 as an inpropper fraction
Answer:
The answer is 9/4
Step-by-step explanation:
If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm
Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4
Answer:
Area: T = 0.649
Step-by-step explanation:
Sides: a = 3.5 b = 1.333 c = 2.25
Please show work, and i will mark brainliest to first correct answer
Answer:
The volume of Prism will be "189888 inches".
Step-by-step explanation:
L = 43in.
W = 92in.
H = 4ft.
Convert ft. into in.
4 x 12
H=48in.
Volume or V = BH
and
B= L X W
B = 43 X 92
B = 3956 in.
then,
Volume = 3956 x 48 inches
Volume = 189888 inches
Does the following equation represent growth or decay y=4^x
Answer:
The equation represents exponential growth
Step-by-step explanation:
Since the equation is a positive exponential equation
A sphere with a radius of 11 in
Answer:
-The volume of a sphere:
[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]
or
[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)
Step-by-step explanation:
-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi 11^3[/tex]
-Then, you solve the formula:
[tex]V = \frac{4}{3} \pi 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]
[tex]V = \frac{4}{3} \pi \times 1331[/tex]
[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]
-Round up to the nearest hundredth (if needed):
[tex]V \approx 5575.28[/tex]
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer:
around 30.
Step-by-step explanation:
just divide 8564 by 287 to get the answer :)
brainliest pls
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
What is the surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
-36 divided by what gives -4
Answer:
-36 divided by 9= -4
Step-by-step explanation:
-36 divided by 9= -4
USE A CALCULATOR OR DO THE INVERSE
Answer:
9
Step-by-step explanation:
-36/x=-4
x=-36/-4
Note, -/-=+
Therefore, x=9
Hope you understand
Factor the following equation:
x^2 -x-90
Answer:
(x - 10)(x + 9)
Step-by-step explanation:
[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]
The diagram shows a block of modelling clay.
The density of the modelling clay is 1.25g/cm^3.
What is the mass of the block of clay?
50 POINTS! PLEASE HELP ASAP!
Complete question
The diagram show a block of modelling clay 12cm 6cm and 2cm.
The density of the modelling clay is 1.25g/cm3. What is the mass of the block of clay?
Answer:
The mass of the block is 180g
Step-by-step explanation:
Given
Density = 1.25 g/cm³
Required
Mass of the block
Eben though the diagram of the block is missing, the question can still be solved.
First, the volume needs to be calculated.
Volume = lengy * breadth * height
Volume = 12 *,6 * 2
Volume = 144cm³
Now we have Volume and density.
The relationship between these two is as follows;
Density = mass/volume
Substitute for density and volume.
1.25 = mass/144
Multiply 144 to both sides
144 * 1.25 = mass/144 * 144
180 = Mass
Mass = 180
Hence, the mass of the block is 180g
You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years?
A.
$14,713.23
B.
$2,814.20
C.
$54,112.88
D.
$3,286.33
Answer:B
Step-by-step explanation:
$2000×1.05^7=$2814.20
Answer:
B
Step-by-step explanation:
P = $ 2000
r =5% = 0.05
t = 7 years
[tex]Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\[/tex]
= $ 2814.20
Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square
Answer:
A) Quadrilaterals
Step-by-step explanation:
All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.
An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.
The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
Answer:
Volume of the prism = 1950unit³ (C)
Step-by-step explanation:
The question is incomplete without the diagram of the oblique prism and its dimension.
Find attached the diagram used in solving the question.
The prism has a rectangular base:
width= 10 units
length = 13 units
The distance between the top and the bottom base = 17 units.
Volume of prism = Area of base × height
Area of base = area of rectangle = Length ×width
= 13× 10
Area of base = 130unit²
To get the height, we would apply Pythagoras theorem
Hypotenuse² = opposite² + adjacent ²
17² = h² + 8²
289 = h² + 64
h² = 289-64 = 225
h = √225
h = 15unit
Volume of the prism = 130 × 15
Volume of the prism = 1950unit³ = 1950 cubic units
Answer:
The answer is C which is 1950 on EDGE
Step-by-step explanation:
Shape of distribution
Answer:
where is the picture so i can help you
I need help!!!! What is x
Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58
Answer:
58 degrees.
Step-by-step explanation:
This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.
Solve the following:
A) a/5+3=8
B) 3b/7-1=5
Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
Caroline’s cube has an edge that
measures 2 centimeters. Dimitri’s
cube has an edge that measures
4 centimeters. If Caroline’s cube
was stacked on top of Dimitri’s
cube, what would be the total
volume of the combined solid?
Answer:
24cm
Step-by-step explanation:
Volume: LxWxH
2cm+ 4cm= 6cm (which is the height)
L= 2
W=2
H=6
2x2x6
24cm
A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?
Answer: 37.64
Step-by-step explanation:
Given data:
Height of the cone = 4feet
Radius of the cone = 3feet
Therefore:
Perimeter of a cone = 1/3 * π * r*h
= 1/3 * 22/7 * 3² * 4
= 0.333 * 3.14 * 9 * 4
= 37.64 feet
The perimeter of the The cone and plane is 37.64feet
What is the distance between the points (3, 7) and (15, 16) on a coordinate
plane?
A. 13 units
B. 21 units
C. 17 units
D. 15 units
Answer:15
Step-by-step explanation:
Because you do the distance equation
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:
The correct answer is B.
Step by step explanation:
Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]
Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]
Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]
Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]
Hope this helps. If so, may I get brainliest and a thanks?
Thank you, Have a good day!
Explain the closure property as it relates to addition of polynomials. GIVE AN EXAMPLE PLEASE ASAP
9514 1404 393
Explanation:
The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.
The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.
Examples:
1) 1 and x are polynomials, as is their sum: 1+x.
2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.
What is the slope of the line parallel to y= 5x+2.
A. -1/5
B. -5
C. 5
D. 1/5