Answer:
2500
Step-by-step explanation:
The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Marquise has 200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:
A(x)= - x² + 100x
The perimeter of the rectangle = 2( length + Width)
200 = 2( length + Width)
100 - x = L
The area of the rectangle = length × Width
= x(100 - x)
= (-x)²+ 100x
So, (-x)²+ 100x where, a = -1 and b = 100
w = -100/2(-1)
w = 50
The area of the rectangle = (-x)²+ 100x
= (-50)²+ 100(50)
= 2500
Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ2
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
401.92
Step-by-step explanation:
[tex]volume=\pi r^{2} h[/tex]
3.14 x (4x4) x 8 = 401.92
Last week Jovanna ran 30 miles more than Rachel. Jovanna ran
47 miles. How many miles did
Rachel run?
A. 30 + x = 47
B. 30 - x = 47
C. 47 + x = 30
D. 47x = 30
Answer: A
Step-by-step explanation:
if rachel is 'x' and jovanna ran 30 more miles than her, then jovanna ran 30+x miles
we know that jovanna ran 47 miles so we set both values equal to each other
30 + x = 47
which is option A :))
Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of 141 first-graders who were learning English were asked to identify as many letter sounds as possible in a period of one minute. The average number of letter sounds identified was 34.09 with a standard deviation of 23.44
Construct a 90% confidence interval for the mean number of letter sounds identified in one minute. Round the answers to at least two decimal places A 90% confidence interval for the mean number of letter sounds identified in one minute is:______
Answer:
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{23.44}{\sqrt{141}}[/tex]
[tex]M = 3.25[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.
The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
Julie has basketball practice every 6 days and track practice every 4 days. In how many days will she have both basketball and track practice
Answer: 12 days
Step-by-step explanation:
For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:
Multiples of 4 = 4, 8, 12, 16, 24.
Multiples of 6 = 6, 12, 18, 24, 30.
The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days
Find the value of x in the triangle shown below 6 8
Answer:
Step-by-step explanation:
X=10
One solution to the problem below is 3.
What is the other solution?
W^2 - 9 = 0
Answer:
W=3,-3
Step-by-step explanation:
Question 10 of 10
What is the slope of a line that is parallel to y = 5x + 3?
Answer here
SUBMIT
Answer: 5
Step-by-step explanation:
A room in the lower level of a cruise ship has a circular window with a diameter of 30 inches. Find the total area of the window.
PLEASE HELP!
write an expression ( simplified ) for the perimeter of the given figure
Answer:
Step-by-step explanation:
2(3x-1)+2(6)
6x-2+12
6x+10
Answer:
6x + 10mm
Step-by-step explanation:
first lets put all the sides into an equation
6mm + 6mm + (3x - 1mm) + (3x - 1mm)
then we simplify it
12mm + 6x -2mm
10mm + 6x
hope this helps <3
Can someone help me solve this please?
Answer:
56
Step-by-step explanation:
just use you brain you can count
Answer:
i think its 99
Step-by-step explanation:
Jada ran 15.25 kilometers. Han ran 8,500 meters. Who ran farther?
Answer:
15.25 km =15,250 m
so Jada ran further
Answer:
Jada ran farther
Step-by-step explanation:
First, convert 8,500 to kilometers.
8,500 ÷ 1,000 = 8.5
15.25 > 8.5
Have a wonderful day!
Which of the following is the best estimate for -21/4 •7.89 + 13/3 ÷ (-4.17)
-17
-4
3
5
Help me and I’ll give brainliest to u if u don’t know don’t answer
Answer:
4 or 5 ft
Step-by-step explanation:
Somebody please help!
Answer:
57 7/9
Step-by-step explanation:
I used a fraction calculator.
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
2 numbers are such that if 7 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is four times the first number. Find the two numbers
Answer:
1st= 47/7 or 6.71
2nd= 48/7 or 6.857
Step-by-step explanation:
1st number =X and 2nd number = Y
According to question, X+7=2Y
20+Y=4X
X=2Y-7 (from 1st condition)
putting in it second
20+Y=4(2Y-7)
20+Y=8Y-28
20+28=8Y-Y
48=7Y
Y=48/7
so X=2(48/7)-7
=96-49/7
47/7
Matthew has a bag that contains orange chews, cherry chews, and lime chews. He
performs an experiment. Matthew randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Matthew performs the experiment 24
times. The results are shown below:
A orange chew was selected 10 times.
A cherry chew was selected 11 times,
A lime chew was selected 3 times.
Answer: 13/24
Step-by-step explanation:
The experiment occurred 24 times orange or lime was selected 10+3=13
Probability the next chew will be orange or lime: 13/24
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
plzzzzzzzz help for a brainly
Answer:
Obtuse because it bigger than an acute and a right angle
Answer:
obtuse angle triangle
hope it helps
stay safe healthy and happy.la quinta parte de un numero aumentado a 5
Give an example of tangents in the real world that have not been presented in this lesson.
Explain how you know the tangent and the radius in your example are perpendicular.
This is in relation to tangent lines and not cosine, sine, etc!
My example is attached via photo!
Answer:
Hey! Sorry im too late lol but here-
Step-by-step explanation:
Example of tangent in the real world-
When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.
How you know the tangent and radius are perpendicular:
The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.
Hope this helped :))
Part A: The path of the ball in relation to the curved path of the thrower
Part A: The path the ball takes is perpendicular to the hand, bat or feet at the point of last contact
Reason for the selection:
Part A
A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction
The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move
The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released
The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball
Part B
How the radius is perpendicular to the tangent
The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched
Learn more about tangents here:
https://brainly.com/question/16300584
A researcher selects a random sample of size n from a population and uses the collected data to compute a 95% confidence interval for the mean of the
population. If the same data were used to compute a second confidence interval, which of the following produces a confidence interval with a larger margin
of error?
Answer:
I wish I know the answer
Step-by-step explanation:
lemme try again
In the triangle below, we can solve to find GH = 16. Explain each
step you would do to solve for GH, and how you knew you could do
each step.
E
2x
Н.
F
3x - 8
G
Edit View Insert Format Tools Table
12pt v Paragraph B IVA e Tv
Answer:
see explanation
Step-by-step explanation:
HF is a perpendicular bisector of Δ EGH
Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so
GH = EH
3x - 8 = 2x ( subtract 2x from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Then
GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16
Answer:
From diagram, FG = EF
Solving fo HF and FG by Pythagorean Theorem
HF² = (3x -8)² -FG²
HF² = (2x)² -FG²
We can eliminate HF² and FG² from BOTH equations because they cancel out.
The 2 equations become (3x -8)² = (2x)²
9x² -48x +64 = 4x²
5x² -48x +64 = 0
Using Quadratic Formula
X1 = 8
X2 = 1.6
********************************************
2x = 16 AND 2x = 3.2
F is 90°
3x -8 = 16 AND 3x -8 = 2.8
Step-by-step explanation:
What are the solutions to log (x² + 8) = 1 +logo(x)?
Answer:
x = 9.125 and 0.875
Step-by-step explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875
Which expresion does NOT equal the length of one of these pieces in feet. Plz help me i really need it.
Answer: J
Step-by-step explanation:
J is the expression we would use to find "nine divided by five"
Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.
a) Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds ofsalt have been dissolved. Pure water is pumped into the tank at a rate of 3gal/min, and whenthe solution is well stirred, it is then pumped out at the same rate. Determine a differentialequation for the amount of salt, , in the tank at time .
Answer:
x = 50*e∧ -t/100
Step-by-step explanation:
We assume:
1.-That the volume of mixing is always constant 300 gallons
2.-The mixing is instantaneous
Δ(x)t = Amount in - Amount out
Amount = rate * concentration*Δt
Amount in = 3 gallons/ min * 0 = 0
Amount out = 3 gallons/min * x/ 300*Δt
Then
Δ(x)t/Δt = - 3*x/300 Δt⇒0 lim Δ(x)t/Δt = dx/dt
dx/dt = - x/100
dx/ x = - dt/100
A linear first degree differential equation
∫ dx/x = ∫ - dt/100
Ln x = - t/100 + C
initial conditions to determine C
t= 0 x = 50 pounds
Ln (50) = 0/100 * C
C = ln (50)
Then final solution is:
Ln x = - t/100 + Ln(50) or
e∧ Lnx = e ∧ ( -t/100 + Ln(50))
x = e∧ ( -t/100) * e∧Ln(50)
x = e∧ ( -t/100) * 50
x = 50*e∧ -t/100
HELP HELP HELP WILL MARK BRAINLIST ❄️✨
Answer:
D 28
Step-by-step explanation:
31 own 13-15
3 own 1-3
31 - 3 = 28
Answer:
D. 28
Step-by-step explanation:
1-3 had 31 people and 13-15 had 3 people.
Then we subtract the values (31-3) to get 28.
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answer:
omg lol look at the picture are u that guy
Step-by-step explanation:
its me from web2.0 :KOBE2482
D its D
Pls help I need this pls help I’m begging u have a good day pls help
Answer:
25
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
In order to solve this question, we need to subtract the smaller area of the hole from the bigger area of the actual donut. We use the formula [tex]a=\pi r^2[/tex]. We plug the numbers in for the smaller circle and the area of the smaller circle is 3.14. Then, we plug in the numbers for the bigger number and we get 28.27. We subtract 3.14 from 28.27 and we get approximately 25, which is equal to J.
A bag contains 6 red marbles, 4 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer:
Total number of marbles = 18
Number of green marbles = 8
Number of ways to choose 3 green marbles = [tex]8C_3[/tex]
Number of ways to choose 3 marbles from the total 18 marbles= [tex]18C_3[/tex]
Probability 0f choose 3 green from 18 marbles
= [tex]\frac{8C_3}{18C_3}[/tex]
= 0.0686 = 6.9%
