Answer: if the length of the second rectangular field is 200 meters, the width should be 35 meters to have the same perimeter but a larger area.
Step-by-step explanation:
STEP1:- Let's denote the length of the second rectangular field as L2 and the width as W2.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width).
For the first rectangular field with length L1 = 135 meters and width W1 = 100 meters, the perimeter is:
Perimeter1 = 2(135 + 100) = 470 meters.
STEP 2:- To find the length and width of the second rectangular field with the same perimeter but a larger area, we need to consider that the perimeters of both rectangles are equal.
Perimeter1 = Perimeter2
470 = 2(L2 + W2)
STEP 3 :- To determine the larger area, we need to find the corresponding length and width. However, there are multiple solutions for this problem. We can set an arbitrary value for one of the dimensions and calculate the other.
For example, let's assume the length of the second rectangular field as L2 = 200 meters:
470 = 2(200 + W2)
470 = 400 + 2W2
2W2 = 470 - 400
2W2 = 70
W2 = 35 meters
HENCE L2 = 200 meters and W2 = 35 meters
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
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The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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Find the solution of the system of equations
shown on the graph.
Answer:
Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
7500000 is interest will pay quarterly .
What do compound and simple interest mean?
Simple Interest is the amount returned for using the borrowed funds over a predetermined amount of time. When the total principal amount surpasses the payment due date and the interest rate over a certain period of time, this is known as compound interest. S.I. = (P, T, and R) x 100 is the formula.p = $50000
r = 10%
t = 15 years
interest = 50000 * 10 * 15 /100
= 7500000
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Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.8 years. Step 1 of 2 : If a sampling distribution is created using samples of the ages at which 68 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Mean of the sampling distribution of sample means is 5.9 years.
What is Normal Distribution?A normal distribution in statistics is defined as the type of continuous probability distribution where the data are arranged in a symmetrical bell shaped graph.
Population mean, μ = 5.9 years
Population standard deviation, σ = 0.8 years
If the sample size is at least 30, we can use the normal approximation of sampling distribution of sample means.
Here, sample size for the sampling distribution, n = 68 > 30.
For a sample which is drawn from a normally distributed population, mean of the sampling distribution of sample means is equal to the population mean and standard deviation = σ / √n.
Mean of the sampling distribution of sample means = μ = 5.9 years.
Hence mean is same as the population mean.
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25.5 divided by 1.25
Answer:
Step-by-step explanation:
Answer:
20.4
Step-by-step explanation:
I have no explanation for this but hope this helps
You are going to conduct coin toss experiment using fair; evenly balanced coin. Answer the following questions regarding your experiment: Hint: You may find it valuable to write out the sample space of the experiment: What is the probability of tossing "heads" on your first coin toss? 0.50 What is the probability of tossing "heads" on each of your first two tosses?
The probability of tossing "heads" on each of your first two tosses is 0.25
Probability = n(E)/n(S)
Where E is the possibility of an event occurring
and S is the sample space i.e., the total number of possible outcomes.
Probability is the measure of how likely an event can happen. The probability of any event lies between 0 and 1 only.
The sample space for when you toss one coin is - H, T
So the probability to get an H is= 1/2
=0.5
Similarly, The sample space for when you toss two coins is HH, TT, HT, TH
So, the probability to get an H on each of your first two tosses is = 1/4
=0.25
Therefore, The probability of tossing "heads" on each of your first two tosses is 0.25
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A residential property is assessed for tax purposes at 40% of its market value. The residential property tax rate is 3 1/2% of the assessed value and the tax is 1649$.
(a) What is the assessed value of the property?
(b) What is the market value of the property?
Answer:
9
Step-by-step explanation:
ya i bthink 9
Answer:
um it like is 10 instead
Step-by-step explanation:
im sorry if this is wrong, imma lol slow:)
In the figure below, suppose
AOB
is a straight line and ∠AOC = 119°.
Two lines intersect. The first line has endpoints A and B, and is horizontal. The second is diagonal and begins at a point O, which is between A and B on the first line, before going up and right through a point C.
The measures (in degrees) of the other angles include the following:
m∠1 = 150°.
m∠2 = 30°.
m∠4 = 150°.
m∠5 = 82°.
m∠6 = 98°.
m∠8 = 82°.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
By applying the vertical angles theorem to the geometric figure, we have the following:
m∠2 = m∠3
m∠1 = m∠4
m∠5 = m∠8
m∠6 = m∠7
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A room has a floor dimension of 30 feet by 50 feet. The height of the basement is 6 feet. What is the total area of all four walls?
Answer:
960 feet
Step-by-step explanation:
30×6=180
180×2=360
50×6=300
300×2=600
360+600=960
Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.
Answer:
Sierra Madre Oceandental range
I need help with my math
Question:
Solution:
Remember that the point-slope is the general form y-y₁=m(x-x₁) for linear equations. Where m is the slope of the line and (x₁, y₁) is any point on the line. In this case, we have that m = 3 and (x₁, y₁) = (0,10). Thus, replacing the given data we can conclude that the point-slope form of a given line is:
\(y\text{ - 10 = 3(x-0)}\)that is:
\(y\text{ - 10 = 3x}\)then, the correct answer is:
\(y\text{ - 10 = 3x}\)Please help I’ll mark u :(:
Answer:
put it into slope intercept form. which is y=mx+b
Step-by-step explanation:
Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.
What is the best estimate for the total time Maria spent with her little sister?
Drag and drop an answer into each box to correctly complete the sentences.
2/5 hour is closest to . 5/8 hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .
Answer:
Step-by-step explanation: 60÷8=7.5x5=37. 5
60÷5=12x2=24
24+37.5=61.5
It was exactly 61 minutesand 50 seconds
Answer:
60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds
Step-by-step explanation:
Find the inverse of the following function. A. B. C. D.
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
a
Step-by-step explanation
yes def
1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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graph f(x)=20 x 0.8^x
Using this points we can use to plot the graph:
(x, f(x))
(0, 20)
(1, 16)
(2, 12.8)
(3, 10.24)
(4, 8.192)
(5, 6.5536)
To graph the function \(f(x) = 20 \times 0.8^x,\) we can plot some points and connect them to create the graph.
Here are some points we can use to plot the graph:
(x, f(x))
(0, 20)
(1, 16)
(2, 12.8)
(3, 10.24)
(4, 8.192)
(5, 6.5536)
Using these points, we can plot them on a coordinate system and connect them with a smooth curve to obtain the graph of the function \(f(x) = 20 \times 0.8^x,\)
Note: The x-values used in this example are just for illustration purposes. Depending on the range and precision desired, more points can be plotted to get a more accurate representation of the graph.
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Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
This pair of figures is similar. Find the value of the missing side (x).
Answer:
The ratio is 8:1 and it is a rectangle so x is 56
If on the similar image the sides are the same the other image will be aswell
Hope thie helps!
If you have any other question feel free to ask!
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
\(P(X=6)=(0.162)\)
Step-by-step explanation:
From the question we are told that:
Sample size \(n=18\)
Probability \(P=0.267\)
No. that do not cover their mouth when sneezing \(x=6\)
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
\(P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}\)
Where
\(x=6\)
Therefore
\(P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}\)
\(P(X=6)=(0.162)\)
davey read 58 pages on saturday and p pages on
The value of p is 15
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
HELP ME PLEASE DUE TODAY !!! FIRST PERSON TO GIVE ME THE ANSWER I WILL GIVE YOU BRAINILYEST OR WHATEVER!!!!
Answer:
12
Step-by-step explanation:
30/25 = X/10
X equals 12
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Total price = $266.63 + $317.29+62.78=646.7
Discount = 15%
Discount amount = (15/100) x 646.7
=$97.005
Price after discount = $646.7 - $97.005
=$549.695
Sales tax = 6%
Sales tax amount =(6/100) x $549.695
=$32.9817
Total cost = Price after discount + sales tax amount
=$549.695 + $32.9817
=$582.6767
=$$582.68
Find the volume of a cylinder. Leave your answer in terms of π.
Given figure of cylinder with height 8cm and diameter 8cm.
Volume of cylinder
\(=\pi r^2h^{}\)We have given diameter = 8 cm
So, radius
\(=\frac{Diameter}{2}\)Radius
\(\begin{gathered} =\frac{8}{2} \\ =4 \end{gathered}\)Now, volume of cylinder
\(\begin{gathered} =3.14\times4^2\times8 \\ =3.14\times16\times8 \\ =401.92 \end{gathered}\)Hence, volume of cylinder is 401.92 centimetre cube.
Oscar wants to fill a box with sand. Each bag of sand has a volume of 36 inches cubed. The base
area of the box is 54 inches squared. The height of the box is 13 inches. What is the volume of
the box? Does he have enough sand? If not, how many more bags does he need?
What is the area of the box?
B * H = A
54 in² * 13 in = A
702 in³ = A
The area of the box is 702 in³
Does he have enough sand?
If not, how many more bags does he need?
I am not sure how many bags he does have, so I cannot answer these two questions. I can, however, tell you how many bags he will need.
702 in³ / 36 in³ = 19.5 bags
He most likely will not have half a bag, so he will need 20 bags in total.
What is the equation of the line that passes through the point (7,6) and has a slope of 0
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
Given,
The points which the line passes, (x₁, y₁) = (7, 6)
Slope of the line, m = 0
We have to find the equation of the line:
We know that,
y - y₁ = m(x - x₁)
So,
y - 6 = 0(x - 7)
y - 6 = 0
y = 6
That is,
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
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5. What is the maximum radius of path 1 before it intercepts the Crocodile River?
Use the Circle Tool on the activity page to help. (1 point)
The radius of the path 1 before it intercepts the Crocodile River is 1.5
How to get radiusGiven that the observer wants to maintain a continuous distance of 1.5 km from the center of the habitat, it implies that the path he wants to follow is a circle, as a circle is the only geometric shape that maintains a constant distance (the radius) from its center to its boundary.
Therefore, we can conclude that the radius of Path 1, which is also the path the observer intends to follow, is 1.5 km.
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You want path 1 to be a continuous distance of 1.5 km from the center of the habitat 1)
What is the maximum radius of path 1 before it intercepts the Crocodile River?
Use the Circle Tool on the activity page to help. (1 point)
A firm has the marginal-demand function where D(x)=-1400x÷√25-x² is the number of units sold at x dollars per unit. Find the demand function given that D=17,000 when x=3 per unit.
The demand function is D(x)=
The equation of the demand function is D(x) = 1400√(25-x²) + 11400
How to determine the demand function?From the question, we have the following parameters that can be used in our computation:
Marginal demand function, D'(x) = -1400x÷√25-x²
Also, we have
D = 17000, when the value of x = 3
To start with, we need to integrate the marginal demand function, D'(x)
So, we have the following representation
D(x) = 1400√(25-x²) + C
Recall that
D = 17000 at x = 3
So, we have
17000 = 1400√(25-3²) + C
Evaluate
17000 = 5600 + C
Solve for C
C = 17000 - 5600
So, we have
C = 11400
Substitute C = 11400 in D(x) = 1400√(25-x²) + C
D(x) = 1400√(25-x²) + 11400
Hence, the function is D(x) = 1400√(25-x²) + 11400
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