The range of values possible for the length of her garden is 19 ≤ length ≤ 36 .
In the question ,
it is given that ,
the length of the deer resistant fence = 110 ft
let the width of the garden be "x" ,
and let the length of the garden be "y" .
So , the equation representing the perimeter of the rectangular garden is
2(x + y) = 110
y = 55 - x
and the equation representing the area of the rectangular garden is
xy = 684
Substituting the value of y = 55 - x in xy = 684 ,
we get ,
x*(55 - x) = 684
55x - x² = 684
x² - 55x + 684 = 0
x² - 36x - 19x + 684 = 0
x(x - 36) -19(x - 36) = 0
(x - 19)(x - 36) = 0
x = 19 OR x = 36 .
Substituting the values of x= 19 we get
the length (y) = 55 - 19 = 36
putting the values of x = 36 , we get
the length (y) = 55 - 36 = 19 .
So , we get the range of length as 19 ≤ y ≤ 36 .
Therefore , The range of values possible for the length of her garden is 19 ≤ length ≤ 36 .
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What is consumidores terciarios?
Hello..!
¿What is consumidores terciarios?
They are the ones that feed on carnivores and their parasites.
An example:
When we see a dead bird, a week goes by and then there are only the bones, since as it says they feed on dead birds, that is, they eat everything without leaving anything, whether they are birds, cows or people.
Answer:
I'm not sure if to answer is Spanish or English so here's both:
Spanish: Los organismos que comen consumidores secundarios se llaman consumidores terciarios y son carnívoros que comen carnívoro.
English: Tertiary consumers are organisms that eat secondary consumers
60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
Which picture below best represents ?
Answer:
Step-by-step explanation:
0.2
Answer:
0.2
Step-by-step explanation:
i did it :)
3410 students were surveyed.
It was found that the ratio of full-time students to part-time students was 7:4
How many full-time students were there?
How many part-time students were there?
Step-by-step explanation:
3410 students were surveyed. It was found that the ratio of full-time students to part-time students was 7:4 How many full-time students were there? How many part-time students were there?
7 + 4 = 11
3,410/11 = 310
full time: 310 * 7 = 2,170
part time: 310 * 4 = 1,240
Frodo ran 2 1/5 miles in 7/12 of any hour. How many miles can Frodo run in one hour?
Frodo ran 132/35 miles in one hour.
Given, that Frodo ran 2(1/5) miles in 7/12 of an hour.
Now, 2(1/5) miles = 7/12 hour
11/5 miles = 7/12 hour
7/12 hour = 11/5 miles
1 hour = (11/5)×(12/7)
1 hour = 132/35 miles
So, Frodo ran 132/35 miles in one hour.
Hence, Frodo ran 132/35 miles in one hour.
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60 POINTS HELP!!!!
What is the equation of the line?
Answer:
See below
Step-by-step explanation:
Pick two convenient integer coordinat e points to calculate the slope
(-1,1) AND (1,0)
Slope = (y1-y2) / (x1-x2) = (1-0)/(-1-1) = -1/2
Slope-yaxis intercept form y = mx + b
y = -1/2 x +b sub in either of the points to calculate b = 1/2
y = -1/2 x + 1/2 Done.
Solve, show all work for full credit.
An employee receives a 4% raise once per year. If the employee’s initial salary is $40,000, what will the employee’s salary be after 8 years?
Answer: $54,742.75
Step-by-step explanation:
Each year you need to multiply the employee's current salary by 4% (in decimal form this is 0.04). Then you add the result to their current salary.
Year 1
40000 * 0.04 = 1600
40000 + 1600 = 41600
Year 2
41600 * 0.04 = 1664
41600+ 1664 = 43264
Year 3
43264 * 0.04 = 1730.56
43264+ 1730.56 = 44994.56
Year 4
44994.56 * 0.04 = 1799.78
44994.56+ 1799.78 = 46794.34
Year 5
46794.34 * 0.04 = 1871.77
46794.34+ 1871.77 = 48666.11
Year 6
48666.11 * 0.04 = 1946.64
48666.11+ 1946.64 = 50612.75
Year 7
50612.75 * 0.04 = 2024.51
50612.75+ 2024.51 = 52637.26
Year 8
52637.26 * 0.04 = 2105.49
52637.26+ 2105.49 = 54742.75
Find the perimeter or circumference and area of each figure.
The circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
What is perimeter of triangle?The perimeter of a triangle can be calculated by simply adding the length of all the sides.
What is area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
There are three triangle in the given diagram namely ΔAOC, ΔAOB and ΔABC.
We will find the area and circumference of each of the triangle.
First we find area of each triangle.
Area of ΔAOC = 1/2*CO*AO = 1/2*4*4 = 8 square units.
Area of ΔAOB = 1/2*BO*AO = 1/2*2*4 = 4 square units.
Area of ΔABC = 1/2*BC*AO = 1/2*6*4 = 12 square units.
Now, we will find circumference of each triangle.
Since, ΔAOC, ΔAOB are right angled triangle
⇒ AC = [tex]\sqrt{AO^{2}+OC^{2} }[/tex] = [tex]\sqrt{4^{2}+(-4)^{2} }[/tex] = [tex]\sqrt{32}[/tex] = 4√2 units.
and AB = [tex]\sqrt{AO^{2}+OB^{2} }[/tex] = [tex]\sqrt{4^{2}+2^{2} }[/tex] = [tex]\sqrt{20}[/tex] =2√5 units.
Circumference of ΔAOC = AC+CO+AO = 4√2+4+4 =4√2+8 = 4√2(1+√2) units.
Circumference of ΔAOB = AB+BO+AO = 2√5+2+4 =2√5+6= 2(√5+3)units.
Circumference of ΔABC = AB+BC+AC = 2√5+6+4√2 = 2(3+√5+2√2)units.
Therefore, circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
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On June 1, 2009, the price of gas was $1.79 per gallon. The price is
predicted to increase 0.3% per month. If that prediction is correct, about
how many months, to the nearest whole number, will it take for the price
of a gallon to reach $1.90?
The number of months that it would take for the price of the gallon to get to 1.90 dollars is 20 months.
How to solve for the number of monthsWe have the following details with which we are to solve this problem.
The price of gas is given as $1.79
The rate of increase is given as 0.3% = 0.003
We are to find the value for when it would be $1.90
The formula that would be used to solve this is given as
[tex]F = P * (1 + r)^n[/tex]
Where f = final value
p = present value
r = rate
n = number of months
From the question
f = 1.90
p = 1.79
r = 0.03
we have to put these values in the formula that we have here
[tex]1.9 = 1.79 * (1 + 0.03)^n[/tex]
[tex]1.9 = 1.79 * (1.003)^n[/tex]
Divide through by 1.79
[tex]\frac{1.9}{1.79} = (1.003)^n[/tex]
take the ln of both sides
[tex]ln\frac{1.9}{1.79} = nln(1.003)[/tex]
We have to simplify the equation above from this stage
ln1.0615 = n0.002995
0.05968 = n0.002995
divide through by the value of n
n = 0.05968 / 0.002995
n = 19.92
n ~ 20
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there are 30 students in mrs woodwards class and 1/5 has their own cwll phone. of this group, 1/2 are allowed to use social media. how many students habe cell phones and can use soical media?
Answer:
Three people have phones and use social media
Step-by-step explanation:
1/5 of 30 is 6
1/2 of 6 is 3
The chart below shows the hourly pay and hours worked for JA Company's
four employees. A regular work week is 40 hours and overtime is paid at double time. Complete
the chart below
Employee
Jalen Smith
Kiara Grays
Tatiana Michel
Kisha Sil
Total wages
Hourly Pay
$9.25
$9.45
$9.75
$9.50
Hours Worked
40
32
42
36
Gross Pay
[370.00]
[302.40]
[429.00]
[342.00]
[1443.40
The completion of the chart showing the hourly pay, gross pay, and hours worked by four JA Company employees, including the total wages for the week is as follows:
Employee Hourly Pay Hours Worked Gross Pay
Jalen Smith $9.25 40 $370.00
Kiara Grays $9.45 32 $302.40
Tatiana Michel $9.75 42 $429.00
Kisha Sil $9.50 36 $342.00
Total wages $1,443.40
How is the gross pay determined?The gross pay for each employee is the product of the hourly pay and the hours worked.
For the employee, who worked 42 hours, the overtime pay is calculated at the double the regular hourly rate, which can also be described as double time.
The total wages are the addition of each employee's gross pay for the week.
Employee Hourly Pay Hours Worked Gross Pay
Jalen Smith $9.25 40 $370.00 ($9.25 x 40)
Kiara Grays $9.45 32 $302.40 ($9.45 x 32)
Tatiana Michel $9.75 42 $429.00 ($9.75 x 40 + (2 x 2 x $9.75)
Kisha Sil $9.50 36 $342.00 ($9.50 x 36)
Total wages $1,443.40
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Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of three and one fifth ft.
Determine the volume, V, using the formula V = lwh.
827.6 cubic ft
777.6 cubic ft
77.76 cubic ft
35.45 cubic ft
777.6 cubic ft is the volume of the shed that Lorie ordered to hold her gardening supplies.
What is the volume of the shed?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is the width, h is height and l is length
Given the data in the question;
Length of the shed l = 20.25 ftWidth of the shed w = 12 ftHeight of the shed h = 3 1/5 ftTo determine the volume of the shed, plug the given values into the above formula and simplify.
V = w × h × l
V = 12 ft × 3 1/5 ft × 20.25 ft
V = 12 ft × 3.2 ft × 20.25 ft
V = 12 ft × 64.8 ft²
V = 777.6 ft³
Therefore, the volume of the shed is 777.6 ft³.
Option B is the correct answer.
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How do I graph this?
Answer:
first solve for y and simplify
y+5=[tex]\frac{2}{3} x[/tex]+4/3
y=[tex]\frac{2}{3} x[/tex]+4/3-5
y=[tex]\frac{2}{3} x[/tex]-11/3
Now graph this
y intercept=(0,-11/3)
use the slope to find another point
(3,-1.667)
draw a line using both points
Find the value of r, s, and t. Show all work.
Answer:
r=65° S=66° t=81°
Step-by-step explanation:
R=180-(99+16)° triangle has 180° R=65° to find S 180-(65+33+16)=S S=66
T=180-(33+66) T=81°
This exercise refers to a standard deck of playing cards. assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 3s and two 5s
1584 hands(combination) contains two 3s and two 5s.
The query serves as an example of combination (also known as selections).
Two 3s are to be selected from 4 = 4C2
= 6
Two 5s are to be selected from 4 = 4C2
= 6
No. of cards in standard deck = 52
No. of remaining cards = 52 - 4 - 4
= 44
No. of remaining cards to be selected = 5 - 2 - 2
= 1
No. of last selection = 44C1
= 44
Total selection = 44 * 6 * 6
= 1584
Hence, total hands is 1584.
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NEED HEP PLSES
Subtract. Simplify your answer before typing it in.
9h 24min 13s
-6h 45min 9s
I have the hour and seconds right: [
After the subtraction, the simplified value is 16 hours : 9 minutes : 22 seconds
Subtraction
Subtraction means the process of finding the difference between two or more numbers.
Given,
Here we have the timings.
9h 24min 13s
-6h 45min 9s
Now, we have to perform the subtraction on it and also write it in the simplified form.
In order to perform the subtraction, we have to convert the given timings into decimal form, then we get,
=> 9h 24min 13s = 9.4036
Similarly, the second one is converted as decimal form, like
=> - 6h 45min 9s = -6.7525
Now, we have to perform the subtraction on it,
=> 9.4036 - (-6.7525)
=> 16.1561
Now, we have to convert this into time format, then we get,
=> 16 hours : 9 minutes : 22 seconds
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Can someone please help me out? Thank you! I will give brainly
1) In first circle radius is 3yard and diameter is 6 yard
2) In second circle radius is 46 inch and diameter is 92 inch
3)In third circle radius is 23 ft and diameter is 46ft
What's the radius solution?
The radius formula is easily obtained by halving the circle's diameter. The line segment created when we join a point on a circle's circumference to its exact center is referred to as the ring's radius. The radius of a circle is the separation between its center and circumference.
What is diameter, for instance?
If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to the diameter of a circle, which is the line segment that extends from one end of the circle to the other end while passing through the center of the circle.
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Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car = six-cyl. compact
Years driven = first through third year
Miles driven = 15,000 first year; 14,000 second year; and 13,000 third year
Using method 2, the total costs for the first year, $____ , the second year $____ , the third year $____ , and all the years $____ in dollars and cents.
The total costs for the first year, $690 , the second year $560, the third year $442, and all the years $1692 in dollars and cents
Depreciation cost for the first year:
Depreciation = $15,000 × 0.046
Depreciation = $690
Depreciation cost for the second year:
Depreciation= $14,000 × 0.04
Depreciation = $560
Depreciation cost for the third year:
Depreciation= $13,000 × 0.034
Depreciation= $442
Total depreciation:
Total depreciation =$690 + $560 + $442
Total depreciation = $1,692.
Therefore the total depreciation is $1,692
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A store sells bows in packages. The table shows how the number of bows relates to the number of packages. How many bows will be in 14 packages? ratios and rates test Group of answer choices 104 410 140 1400
Answer:
140 bows
Step-by-step explanation:
hope this helps :)
Rocio deposits $3,200 in a one year CD at
3.1% interest, compounded daily. What is
her APY to the nearest hundredth of a
percent?
The annual percentage yield (APY) of Rocio is 3.11 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
Given data ,
Deposit amount of Russ = $ 3200
Interest rate R = 3.1 %
And it is given that the interest rate is compounded daily , so
Interest rate R = 3.1 % / 365
= 0.031 / 365
= 0.000084
Now , The annual percentage yield (APY) is calculated as
The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵
= 3200 x ( 1.000084 )³⁶⁵
= 3200 x 1.031133
= 3299.6272
≈ 3299.627
Therefore , the interest will be
= 3299.627 - 3200
= $ 99.627
Now , the annual percentage yield (APY) is given by
= Interest / Deposit
= 99.627 / 3200
= 0.03113
≈ 3.11 %
Hence , annual percentage yield (APY) of Rocio is 3.11 %
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Mean a wrote messages to her friends on a sidewalk she used 1/3 of piece of truck that was originally 2 5/6 inches long how many inches of child did she use?
Mean uses [tex]\frac{17}{18}[/tex] inches of chalk
What is algebra ?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
She used [tex]\frac{1}{3}[/tex] of a piece of chalk that was originally [tex]2\frac{5}{6}[/tex] inches long.
Now, we have to find how many inches of chalk did she use
= 1/3 × 2 5/6
= 1/3 × 17/6
= 17/18 inches.
Hence, Mean uses 17/18 inches of chalk.
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HELP!!!!!
Determine if each graph represents a function by using the vertical line test.
4 thru. 6
Answer:
[4] Function
[5] Not a function
[6] Function
Step-by-step explanation:
The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.
4 and 6 pass the test meaning they are functions, 5 does not.
If 450 birds have to fit evenly into 18 enclosures and there are 3 enclosures in each section of the zoo how many birds are in each section of the zoo?
Answer:There are 75 birds in each section.
Step-by-step explanation:450 birds divided by 18 enclosures is 25 birds in each enclosure. 25 birds times 3 enclosures is 75 birds in each section.
→ XO Q
D
Question 5
What component best describes a country that uses capitalism?
W
O Limited role of government
O Everything is operated through tradition
O All economic decisions made by government
O All goods and services are distributed by the government
The component describes a country of capitalism is All economic decisions made by government.
What is meant by capitalism?According to a common understanding, capitalism is an economic system in which individual actors own and control property according to their interests and where supply and demand freely set market prices in a way that benefits society. The fundamental quality of capitalism is the desire to make a profit.
Capital, which developed from capitale, a late Latin term based on caput, meaning "head," is where the word "capitalism" originates. Chattel and cattle, both of which allude to moveable property, also have their roots in capital (only much later to refer only to livestock).
A capitalist economy allows for the private ownership and control of capital assets like mines, railroads, and factories. It also allows for the purchase of labor for monetary wages, the accrual of capital gains to private owners, and the allocation of prices.
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A vendor sells hot dogs and bags of potato chips a customer bay 5 hot dogs and 4 bags of potato chips for $17.25. Another buys 2 hotdogs and 2 bags of potato chips for $7.50.
Find the cost of each item
The cost for 1 hot dog is $2.25 and the cost for 1 bag of potato chips is $1.5 .
In the question ,
it is given that ,
a vendor is selling hot dogs and bags of potato chips ,
the customer bought 5 hot dogs and 4 bags of potato chips for $17.25
let the cost of 1 hot dog = h and
let the cost of 1 bag of potato chips = p
So , the equation is 5h + 4p = 17.25
and another customer buys , 2 hot dogs and 2 bags of chips
So , the equation is , 2h + 2p = 7.50
2p = 7.50 - 2h
and 4p = 15 - 4h
Substituting 4p = 15 - 4h in the equation 5h + 4p = 17.25 , we get
5h + 15 - 4h = 17.25
h + 15 = 17.25
h = 17.25 - 15
h = 2.25
and 4p = 15 - 4h
4p = 15 - 4(2.25)
4p = 15 - 9
4p = 6
p = 6/4
p = 1.5
Therefore , The cost for 1 hot dog is $2.25 and the cost for 1 bag of potato chips is $1.5 .
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Write the INTERCEPT FORM equation of a parabola with x-intercepts at (-5,0) and (
9,0) that passes through the point (10, 30).
The equation of the parabola is y = -x² + 12x - 27
Parabola is the locus of a point such that the same distance from a fixed line, called the directrix, and a fixed point (the focus) is the same.
The equation of a parabola is in quadratic form. Hence it is given as:
y = ax² + bx + c
At point (-5, 0):
0 = a(-5²) + b(-5) + c
25a - 5b + c = 0 (1)
At point (9, 0):
0 = a(9²) + b(9) + c
81a + 9b + c = 0 (2)
At point (10, 30):
30 = a(10²) + b(10) + c
100a + 10b + c = 30 (3)
Solving equations 1, 2, 3 gives: a = -1, b = 12, c = -27
The equation of the parabola is hence y = -x² + 12x - 27
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Rewrite the expression as an algebraic expression in x.
sin(tan−1(x))
Answer:
Tano=x
Step-by-step explanation:
First, let's call sin(tan−1(x))=sin(θ) where the angle θ=tan−1(x) . More specifically, tan−1(x)=θ is the angle when tan(θ)=x
Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.77 hours of sleep, with a standard deviation of 2.18 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
Answer:
Step-by-step explanation:
hours of sleep, with a standard deviation of1.93hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
(a)What is the probability that a visually impaired student gets less than6.2hours of sleep?
answer:
(b)What is the probability that a visually impaired student gets between6.8and10.93hours of sleep?
answer:
(c)Thirty percent of students get less than how many hours of sleep on a typical day?
answer:
hours
6:9=12:
I need the answer to the ratio number pls
A square root function has a domain of x≥2 and a range of y≥8.
What is the domain of its inverse?
Responses
x≥2
x is greater than or equal to 2
y≥8
y is greater than or equal to 8
x≥8
x is greater than or equal to 8
y≥2
The domain of the inverse function is, x ≥ 8, x is greater than equal to 8.
What is domain and range?
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
Given: A square root function has a domain of x≥2 and a range of y≥8.
We have to find the domain of it's inverse.
Since, The range of the inverse function's original function, f, is its domain. This also implies that the domain of the inverse function of the original function f is the range of that function.
Therefore, y [tex]\geq[/tex] 8 is the domain of inverse function.
Replace y with x.
Hence, the domain of the inverse function is x ≥ 8.
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