Final answer:
The question is best addressed by describing the behavior and characteristics of lions as carnivorous animals and the species they typically prey upon in the wild. Highlighting the lion's status as an apex predator and protected species emphasizes the importance of conservation.
Explanation:
The question posed seems to be about the dietary habits of lions, which are large carnivorous mammals known for their hunting prowess. Discussing the consumption of lion meat by humans is ethically controversial and in many regions illegal, as lions are a protected species. Instead, we can focus on the nature of lions as carnivores and their role in the ecosystem as apex predators. Lions primarily hunt and feed on a variety of herbivorous wildlife, including zebras, giraffes, pigs, antelope, and wildebeests. Hunting is a critical skill for lions, utilizing their keen sense of smell and powerful physique. The appearance of lions, including their distinctive mane, is not just for show but also serves to intimidate rivals and prey.
Lions are indeed among the largest of the big cat species and hold a historical significance across various cultures. Due to their size and nature, lions may pose a threat to humans if disturbed or threatened. It is important to remember that they are a protected species vital to the ecosystem and should be respected in their natural habitats.
Serving lion meat is illegal in many places and ethically controversial. It's important to respect wildlife conservation and choose sustainable, legal options.
Serving lion meat is fraught with ethical, legal, and conservation concerns. Lions are apex predators and vital to their ecosystems; their populations are already under significant threat due to habitat loss, human-wildlife conflict, and poaching. Consuming lion meat can exacerbate these issues by promoting illegal wildlife trade and threatening already vulnerable populations.
From a legal standpoint, many countries have strict regulations against hunting and consuming lions due to their endangered or protected status. Additionally, there are ethical considerations surrounding the killing of such majestic animals for human consumption. Lions are often viewed with awe and respect, and the idea of slaughtering them for food can be deeply unsettling for many people.
In summary, the best way to serve lion meat is not to serve it at all. Instead, it's crucial to prioritize wildlife conservation efforts and support sustainable, legal alternatives that do not harm endangered species or their habitats.
what is an equation that passes the points (4,-1) and (8,5) in fully reduced form
Answer:
y=3x-13
Step-by-step explanation:
1) find slope
5--1/8-4=6/2=3
2) (y--1)=3(x-4)
y+1=3x-12
y=3x-13
Find the perimeter of the polygon
The perimeter of a polygon is found by adding up the lengths of all its sides. The given polygon has a perimeter of 600,000 km. A side labeled 'mfi' would be 300,000 km.
Explanation:To find the perimeter of a polygon, you add up the lengths of all its sides. In this case, the given sides of the polygon are 200,000 km, 100,000 km, and 300,000 km. So adding these together gives you a perimeter of 600,000 km for this polygon.
If you're asked to find the length of a missing side (e.g., the side labeled as 'mfi'), you can subtract the lengths of the known sides from the total perimeter. So, 600,000 km (total perimeter) - 100,000 km - 200,000 km = 300,000 km. Therefore, the length of 'mfi' is 300,000 km.
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The perimeter of the polygon shown is approximately 84.91 centimeters.
According to the given image
∠B = ∠D and AB = AD.
To find the perimeter, break the polygon into smaller shapes and find the perimeters of those shapes.
Note that triangle ABD is isosceles since AB = AD, so ∠ABD = ∠ADB. Draw imaginary segments BC and DC, which create two right triangles, ABC and ADC. Since ∠B = ∠D, it is clear that ∠ABC = ∠ADC. Additionally, it is given that BC = 8.5 cm and DC = 7.5 cm.Now, the Perimeter of triangle ABD is calculated in the following way:
AB = AD (given) = 6.5 cm
We can use the Pythagorean theorem on triangle ABD to find BD:
[tex]BD^2 = AB^2 - (\frac{1}{2} \times AD)^2\\BD^2 = 6.5^2 - (\frac{1}{2} \times 6.5)^2\\BD^2 = 25.5625\\BD \approx 5.05 cm[/tex]
So, the Perimeter of triangle ABD is
= AB + AD + BD
[tex]\approx 6.5 cm + 6.5 cm + 5.05 cm \\ \approx 18.05 cm[/tex]
Again, the Perimeter of triangle ABC is
AC = BC + AB = 8.5 cm + 6.5 cm = 15 cm
As ∠ABC is a right angle and AC is the hypotenuse, use the Pythagorean theorem to find AB:
[tex]AB^2 + BC^2 = AC^2\\AB^2 + 8.5^2 = 15^2\\AB^2 = 81\\AB = 9 cm[/tex]
Perimeter of triangle ABC
= AB + BC + AC = 9 cm + 8.5 cm + 15 cm = 32.5 cm
Perimeter of triangle ADC:
Similar to triangle ABC, find AD using the Pythagorean theorem:
[tex]AD^2 + DC^2 = AC^2\\AD^2 + 7.5^2 = 15^2\\AD^2 = 135\\AD = 3\sqrt{5} cm \approx 11.86 cm[/tex]
Perimeter of triangle ADC
= AD + DC + AC = 11.86 cm + 7.5 cm + 15 cm = 34.36 cm
Finally, to find the perimeter of the entire polygon, add the perimeters of the three triangles:
Perimeter of polygon = Perimeter of triangle ABD + Perimeter of triangle ABC + Perimeter of triangle ADC
Perimeter of polygon is
[tex]\approx 18.05 cm + 32.5 cm + 34.36 cm \approx 84.91 cm[/tex]
Therefore, the perimeter of the polygon is approximately 84.91 centimeters.
Write the equation of a line parallel to the line y=2x that passes through the given points. a. (0,4) b.(-2,-1) c.(2,0)
Answer:
ju mmmmmmjjum,,,,i,,,,, enjoy
Step-by-step explanation:
Answer:
its option b: (-2,-1)
Step by step:
y=2x
-2=2(-1)
-2=-2
Infinitely many solutions
What is the equation of points (8,16)
Answer:
86
Step-by-step explanation:
2b + 8 - 5b + 3 = -13 + 8b - 5
Answer:
The final value of [tex]b=\frac{29}{11}[/tex] .
Step-by-step explanation:
Given:
[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]
We have to find the value of [tex]b.[/tex]
[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]
Steps to be followed:
Step 1:Bring all the variables one left side of the equation.Subtract 8b both side.
[tex]2b + 8 - 5b + 3-8b = -13 + 8b - 5-8b[/tex]
[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]
Step 2:Add the variable and constants on each side.[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]
[tex]-11b+11=-18[/tex]
Step 3:Subtract 11 on both side.[tex]-11b+11=-18[/tex]
[tex]-11b+11-11=-18-11[/tex]
[tex]-11b=-29[/tex]
Step 4:Divide -11 on both sides of the equation.[tex]-11b=-29[/tex]
[tex]b=\frac{-29}{-11} =\frac{29}{11}[/tex]
So the final value of b is 29/11.
Byron's weekly salary is $ 650. He receives a 15% pay raise. What is Byron's new weekly salary?How much was his raise?
Answer:
$747.50
Step-by-step explanation:
650×15/100=$97.50 which is then added to 650 Becoz his pay is 15% rising=747.50
John scored 5:7 of the goals he attempted at the soccer game. During three games, if John scored 20 goals, how many did he attempt
Answer:
John scored 20 goals he attempted 28.
Step-by-step explanation:
Given:
John scored 5:7 of the goals he attempted at the soccer game.
During three games, if John scored 20 goals.
Now, to find the number of attempts.
Let the number of attempts be [tex]x.[/tex]
The number of goals = 20.
As, given John scored 5:7 of the goals he attempted at the soccer game.
So, 5 is equivalent to 7.
Thus, 20 is equivalent to [tex]x.[/tex]
Now, to solve by using cross multiplication method:
[tex]\frac{5}{7} =\frac{20}{x}[/tex]
By cross multiplying we get:
[tex]5x=140[/tex]
Dividing both sides by 5 we get:
[tex]x=28.[/tex]
Therefore, he attempt 28.
Last year a bamboo plant was 17 feet tall. It grew 10 feet this year. How tall is it now?
Answer:
27 is the right answer
Step-by-step explanation:
10+17=27 :)
The graph of f(x) is shown. Estimate f(–3).
f(–3) =
The value estimated for f ( -3 ) from the graph is 12.5
Step-by-step explanation:
The function (f) in the graph defines all point sets in plane as (x, f(x)) form. The graph of equation to be the graph of function. I.e. y = f (x). Hence, graph of f is if the special case for graph of equation.
Given x = - 3 and asked to find f (-3). So, we have to see the point of y mapped (meeting point of y) on the point x = -3. In the graph, the point marked on y straight away to x = - 3 is 12.5.
Answer: 12.5
Step-by-step explanation:
it is the same as the g (x) problem. we sub -3 for x and see what the y value is on graph. At -3, y = 12.5
Brainliest? :)
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?
Answer:
[tex]y=\frac{3}{2}x +1[/tex]
Step-by-step explanation:
We are given;
The equation of a line;
[tex]y-4 = -\frac{2}{3}(x-6)[/tex]
We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).
We can get the gradient of a line when given its gradient and a point where it is passing through.In this case;We need to know that the product of gradient of two parallel lines is -1
Therefore, we can get the gradient of the unknown line;m₁× m₂ = -1
Thus;
m₂ = -1 ÷ -2/3
= 3/2
Thus, the gradient is 3/2 and the line passes through (-2,-2)
Thus, to get its equation, we take another point (x,y)
We get;
[tex]\frac{y+2}{x+2}= \frac{3}{2}[/tex]
Then;
[tex]2(y+2)=3(x+2\\2y + 4 = 3x + 6[/tex]
Combining the like terms,
[tex]2y=3x+2[/tex]
In the form of slope-intercept;
[tex]y=\frac{3}{2}x +1[/tex]
In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O. Compare the areas of △ABO and △CDO.
ar(ΔABO) = ar(ΔCDO)
Explanation:
The image attached below.
Given ABCD is a trapezoid with legs AB and CD.
AB and CD are non-parallel sides between the parallels AD and BC.
In ΔABD and ΔACD,
We know that, triangles lie between the same base and same parallels are equal in area.
⇒ AD is the common base for ΔABD and ΔACD and they are lie between the same parallels AD and BC.
Hence, ar(ΔABD) = ar(ΔACD) – – – – (1)
Now consider ΔABO and ΔCDO,
Subtract ar(ΔAOD) on both sides of (1), we get
ar(ΔABD) – ar(ΔAOD) = ar(ΔACD) – ar(ΔAOD)
⇒ar(ΔABO) = ar(ΔCDO)
Hence, ar(ΔABO) = ar(ΔCDO).
Cora made a scale drawing of the middle school. The scale of the drawing was
7 inches
Could I get more context about the question? If I had more numbers then I could solve it.
What is the numerator of the simplified sum?
x/x^2 +3x+2 + 3/x+1
Question:
What is the numerator of the simplified sum?
x/x^2 +3x+2 + 3/x+1
Answer & Step-by-step explanation:
The given equation is as follows.
\frac{x}{x^{2}+3x+2} + \frac{3}{x+1}
Taking L.C.M, the equation will become as follows.
\frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)} ........ (1)
Factorize the equation x^{2}+3x+2 in the denominator as follows.
x^{2}+3x+2
= x^{2} + 2x + x + 2
= x(x+2) + 1(x + 2)
= (x+1)(x+2) ........ (2)
Put the factors in equation (2) in to equation (1), then the equation will become as follows.
\frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)}
= \frac{x^{2}+x +3x^{2}+9x+6)}{(x+1)(x+2)(x+1)}
= \frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}
Now, factorize the numerator as follows.
\frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}
= \frac{4x^{2}+4x+6x+6}{(x+1)^{2}(x+2)}
= \frac{4x(x+1) + 6(x+1)}{(x+1)^{2}(x+2)}
= \frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}
Cancelling (x+1) from both numerator and denominator. Then the equation will be written as follows.
\frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}
= \frac{(4x+6)}{(x+1)(x+2)}
The numerator of simplified sum is (4x+6).
4x+6
C on Edge 2022
20 characters20 characters20 characters20 characters20 characters20 characters20 characters20 characters
The tables below show four sets of data:
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
For which set of data will the scatter plot represent a positive linear association between x and y?
Set A
Set B
Set C
Set D
Answer:
B? sorry if its wrong
Step-by-step explanation:
Answer:
The answer is not set c!
Step-by-step explanation:
What is the value of x and y I’m stuck!!!
Answer:
x = 4 and y = 8
Step-by-step explanation:
Using the tangent and cosine ratios in the right triangle and the exact values
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{4\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
-------------------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] y = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 8
noah has 4 bags of marbles with the same number in each bag. if there are 536 marbles altogether,how many marbles are in each bag?explain how u know
Answer:
There are 134 marbles in each bag.
Step-by-step explanation:
536/4=134
Answer:536 divided by 4 equals 134 marbles in each bag
Step-by-step explanation:
g(x) = 5 - 2.7
What is the domain of g?
Answer:
3
Step-by-step explanation:
Complete the square x squared +18x-64=0
Answer:
x = -9±√145 (= 3.04 or -21.04)
Step-by-step explanation:
x²+18x-64 = 0 (move the constant to the right side, add 64 to both sides)
x²+18x = 64 (divide the x-term by 2, square it, then add it to both sides)
x²+18x + (18/2)²= 64 + (18/2)² (simplify)
x²+18x + 9²= 64 + 9²
x²+18x + 9²= 64 + 81
x²+18x + 9²= 145 (simplify left side using the property (a+b)² = a²+ 2ab+b²)
(x+9)² = 145 (take square root of both sides)
x+9 = ±√145
x = -9±√145 (= 3.04 or -21.04)
What is an equivalent fraction for 5/10
Answer:
1/2
Step-by-step explanation:
5/10, 5 is HALF of ten so 1/2
Can someone please help me
a^2 + b^2 = c^2
65^2 + 34^2 = c^2
4225 + 1156 = c^2
5381 = c^2
c ≈ 73.3552997404
Hope this helps! ;)
Here’s another one thank u all for helping me. I really appreciate it!
Area = Square - Circle
Area of Square = 10² = 100 m²
Area of Circle = π(5²) = 25π m²
Area of Shaded Region = 100 - 25π = 21.5 m² approx.
answer: second choice
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.
Step-by-step explanation:
Two properties can be used to find the value of the x.
1) Sum of Interior angles of a triangle is 180°.
⇒x+90°+(x-10)°=180.
2x+80°=180°.
2x=180°-80°.
2x=100°.
x=50°.
⇒(x-10)°=40°.
2) The Angle of the straight line is 180°.
From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).
The sum of those two angles will be 180°.
⇒ (x-10)°+ (2x+40)°=180°.
(3x+30)°=180°.
3x=150°.
x=50°.
∴(x-10)°=40° and (2x+40)° = 140°.
∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.
Write the following as an exponential expression?
Answer:
Step-by-step explanation:
recall that for a radical expression, the following apply
[tex]\sqrt[x]{y} = y^{\frac{1}{x} }[/tex]
compare this with our case, we can clearly see that
x = 4 and y = 10,
substituting into the above equation gives:
[tex]\sqrt[4]{10} = 10^{\frac{1}{4} }[/tex]
The expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].
What is the general equation of exponential function? What is the general equation of a quadratic equation?The general equation of a exponential relationship is -
y = Aeˣ
The general equation of a quadratic equation is -
y = ax² + bx + c
Given is the following expression -
[tex]$\sqrt[4]{10}[/tex]
We can write the given expression in the form of exponential expression as -
y = [tex]$(10)^{\frac{1}{4} }[/tex]
Therefore, the expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].
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orthocenter of the triangle with vertices J(1,0) H(6,0) I(3,6)
Answer:
(3, 1)
Step-by-step explanation:
The orthocenter is the point where the altitudes meet. Since all three altitudes meet there, it is only necessary to look at two of them. A graph helps immensely.
In the attached graph, we notice that segment HJ is horizontal, so the x-coordinate of the orthocenter will be that of point I (x=3).
The segment IJ has a rise of 3 for a run of 1, so its perpendicular through point H will have a rise of 1 for a run of -3. That gets you to point (3, 1) from point H, so (3, 1) is the orthocenter.
What should be subtracted from 3x^2-4y^2+5xy+20 to obtain x^2+y^2+6xy+20?
Answer:
2x² − 5y² − xy
Step-by-step explanation:
3x²- 4y² + 5xy + 20
−
x² + y² + 6xy + 20
________________
2x² − 5y² − xy + 0
The diameter of a circle is 18 kilometers. What is the length of a 120° arc?
Final answer:
The length of a 120° arc in a circle with an 18-kilometer diameter is approximately 18.85 kilometers.
Explanation:
The question asks to find the length of a 120° arc, given the diameter of a circle is 18 kilometers. To solve this, we first find the radius of the circle by dividing the diameter by 2, which gives us 9 kilometers.
Knowing the circumference formula is 2πr, we calculate the circumference as 2π(9) or 18π kilometers. Since 360° represents the full circumference, a 120° arc represents one-third of the circle.
Thus, the arc's length is one-third of the circumference: ⅓(18π) = 6π kilometers, which is approximately 18.85 kilometers.
11. Circle all of the examples that are perfect square. (You must circle all correct responses to receive credit)
2
4
0
8
10
12
14
16
18
120
Good evening ,
Answer:
Circle 0 , 4 , 16
Step-by-step explanation:
→ 0 = 0²
→ 4 = 2²
→ 16 = 4²
:)
Round 1,208.7438 to the nearest hundredth.
A. 1,208.73
B. 1,208.74
C. 1,208.743
D. 1,208.75
Answer:
the answer is 1,208.74
Jane sold 100 tickets for her school auction. Adult tickets cost $12 and the children tickets cost $8. Jane collected a total of $944. Write a system of equations for this situation
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of adult tickets
y ----> number of children tickets
we know that
Jane sold 100 tickets for her school auction
so
[tex]x+y=100[/tex] ----> equation A
Jane collected a total of $944
[tex]12x+8y=944[/tex] ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (36,64)
see the attached figure
therefore
The number of adult tickets sold was 36 and the number of children tickets sold was 64
Chen’s report will take 8 and one third hours to complete. He has worked for three fifths of the time doing research. How long has he worked?
Answer:
5 Hours
Step-by-step explanation:
Given:
Chen’s report will take 8 and one third hours to complete.
He has worked for three fifths of the time doing research.
Question asked:
How long has he worked = ?
Solution:
Total hour required to complete the report = [tex]8\frac{1}{3}[/tex] = [tex]\frac{25}{3}[/tex]
He has worked of the total hour = [tex]\frac{3}{5}[/tex]
He has worked = three fifth of the total time doing research.
= [tex]\frac{3}{5} \times\frac{25}{3}[/tex]
= [tex]\frac{75}{15}[/tex]
= [tex]5 hours[/tex]
Thus,he has worked 5 hours doing his research.