The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
Given, [tex]x[/tex] represent the number of male birds and [tex]y[/tex] represent the number of female birds.
The flock needs to have exactly three times more females than males to thrive.
So, in equation form we have,
[tex]y=3x[/tex]........(1)
Since, The zoo only has room for a maximum of 20 male birds.
So, we can write the inequality for [tex]x[/tex] as,
[tex]0< x\leq 20[/tex]......(2)
Since The maximum number of male birds is 20, so for [tex]x=20[/tex]
y will be,
[tex]y=3\times 20\\[/tex]
[tex]y=60[/tex]
Hence, The maximum number of female birds is 60.
So, we can write the inequality for [tex]y[/tex] as,
[tex]0< y\leq 60[/tex]
Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
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Answer:d
Step-by-step explanation: did the test
Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC
According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]
[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]
[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC
= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]
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What is the slope of the line containing the points (-6,4) and (2,1)
please answer quickly!!
Answer:
Slope: 4
Intercept: 9
Step-by-step explanation:
Hope this helped! :)
can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?
Answer:
[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Step-by-step explanation:
[tex]128m^2n^5-200m^4n^3[/tex] <-- Given
[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²
[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³
[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8
[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares
Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
what is the answer???
Answer:
[tex] \frac{65}{97} [/tex]
Cosine ∅ = adjacent ÷ hypotenuse
Rounded to the nearest hundredth the answer is 0.670.
We know
[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]
Now
[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]
[tex]\\ \sf\longmapsto cosU=0.67[/tex]
Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!
Answer:
its 6 square feet
s = 1
1^2 = 1
6 x 1 = 6
what does the term ‘slope’ mean?
Answer:
noun
1.
a surface of which one end or side is at a higher level than another; a rising or falling surface.
Step-by-step explanation:
steepness
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)
step one: identify two points on the line
step two: select one to be (x1,y1) and the other to be (x2,y2)
step three: use the slope equation calulate slope
2x-3=8+7(+3)
2y-3(+3)=8x+7(+3)
2y=8x+10
----- --------
2y=8x+10
y=4x+5
Answer:
m=4
5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77)
Answer:
(8, 76)
Step-by-step explanation:
Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?
Answer:
more than 23.3 $
Step-by-step explanation:
if we say she will work minimum 4 hours in day that mean it will be 28 hours
so she left 7 hours behind
and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$
Pls answer me this (WILL MARK BRAINLIEST)
Answer:
a=3 b= -40
Step-by-step explanation:
.....
Don’t understand this one, hoping for help
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?
Answer:
a. What angle of rotation maps Ponto P?
30.25 degrees
b. What are the x and y coordinates of P to the nearest thousandth?
(83.3, 33.3)
c. What translation rule maps P onto P?
Rotation
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
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a=5 and b=-5 , 2ab-a^(2)
Answer:
Step-by-step explanation:
2(5)(-5)-(5)^2
=−75
The two triangle shown below are similar triangles.
What is the value of d in meters?
Use traditional division to solve 6432 ÷ 24.
Answer:
(not my answer but) its 268
Step-by-step explanation:
100 Point question answered ASAP for brainliest!
Step-by-step explanation:
that is really easy too easy for that many points.
it is truly simple :
the graph (and with it the function) is shifted down by 3 units.
that means everything of the function stays the same, just the functional results are consistently lowered by 3.
so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10
that is really all there is to it.
a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.
The number 1000 represents the amount of trash originally in the landfill.
Given that,
The same amount of trash is dumped into a landfill every day.
The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
We have to determine,
What does the number 1,000 represent?
According to the equation,
The function is,
n = 2000x + 1000
The initial value of a function is defined as the started value of the function independent of any variables present in the function.
Here, n represent the amount of trash and x represents the number of days.
Therefore,
n = 2000x + 1000
In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.
Hence, The number 1000 represents the amount of trash originally in the landfill.
For more information about Equation refer to the link given below.
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The correct answer would be A, the amount originally in the landfill.
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
(2x-3)(x+5)-(x-6)(x+5)=0
Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the length of 1,000 of these molecules?
make r the subject of the formula
Answer:
r=[tex]\frac{3t}{t-1}[/tex]
Step-by-step explanation:
t(r-3)=r
tr-3t=r
tr-r=3t
r(t-1)=3t
r=[tex]\frac{3t}{t-1}[/tex]
please help me Im lost on this :(
Answer:
C
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]
Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.
Answer: C) 3x^2+8x-10=-8
Step-by-step explanation:
3x^2+8x-10x=-8
3x^2+8x-2=0
a=3 b=8 c=-2
Plug it into quadratic formula.
how many 2 digit combos can you make with numbers 1, 2, and 3?
Answer:
9 i believe
Step-by-step explanation:
11
12
13
21
22
23
31
32
33
To solve 5x + 2 = 1/125, you would first:
The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The solution of the given equation is
[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]
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#SPJ2
function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16
Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.
B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.
C.They have the same y-intercept and the same end behavior as x approaches infinity.
D.They have the same x-intercept but different end behavior as x approaches infinity
Answer:
D. They have the same x-intercept but different end behavior as x approaches infinity
Step-by-step explanation:
A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.